From 41ff40959467d2a6b147a70b49f9a58f48344eeb Mon Sep 17 00:00:00 2001 From: Rafael Vuijk Date: Tue, 4 Aug 2026 21:12:12 +0000 Subject: [PATCH 1/2] Add a modulus node (#402, #618) There was no remainder in the library at all: `%` was a parse error and there was nothing to call. Adds `Modf`, with the parser, `MathS.Mod`, the `%` operator on `Entity`, evaluation, simplification, differentiation, limits, both compilers, LaTeX, SymPy export and the F# `%`, which needs no wrapper code of its own since F# resolves it through `op_Modulus`. The remainder takes the sign of the dividend, which is the truncated convention: the one C# has, and the one the arbitrary-precision arithmetic underneath already implements. (-7) % 3 is -1, not 2. `%` binds as tightly as `*` and `/` and associates to the left, again as in C#. Three places where less is claimed than could be: The derivative is the dividend's own where the divisor does not depend on the variable, and is left alone where it does. a % b is a - b*floor(a/b), and there is no floor node here, so writing the general case would mean writing something wrong at the jumps. A limit is answered where the remainder is continuous and left unevaluated at the jumps, where the dividend reaches a non-zero multiple of the divisor. The value at a jump is one of the two one-sided limits and neither the other nor the two-sided one. Zero is not a jump: the remainder takes the dividend's sign, so x % 3 is x on either side of it. Inverting is not implemented, so solving answers with no roots rather than with wrong ones -- x % a = v has one solution per period and wants an integer parameter, as the trigonometric inversions have. The stack machine carries every value as a complex number and answers NaN where either part is not real, which is the same refusal the interpreter makes by leaving a complex remainder unevaluated. There is no one remainder of a complex number by another. The parser files under Core/Antlr are regenerated by the project's own antlr_rerun script; the churn is one new token shifting every index after it. 42 new C# tests, 3 new F# tests; suite 4503 + 130 passed, 0 failed; corpus unchanged at 111/117 with 0 wrong. --- Sources/AngouriMath/Convenience/MathS.cs | 15 + Sources/AngouriMath/Core/Antlr/AngouriMath.g | 3 +- .../AngouriMath/Core/Antlr/AngouriMath.interp | 4 +- .../AngouriMath/Core/Antlr/AngouriMath.tokens | 258 +-- .../Core/Antlr/AngouriMathLexer.cs | 786 +++---- .../Core/Antlr/AngouriMathLexer.interp | 5 +- .../Core/Antlr/AngouriMathLexer.tokens | 258 +-- .../Core/Antlr/AngouriMathParser.cs | 1798 +++++++++-------- Sources/AngouriMath/Core/Domains.Classes.cs | 6 + .../Entity.Continuous.Definition.cs | 10 + .../Entity.Continuous.Operators.Classes.cs | 23 + .../Functions/Compilation/IntoFE/Compiler.cs | 10 + .../Compilation/IntoFE/FastExpression.cs | 4 + .../IntoLinq/CompilationProtocol.cs | 4 + .../Functions/Compilation/RealOnly.cs | 37 + .../Functions/Continuous/Differentiation.cs | 15 + .../Limits/Solvers/Limit.Classes.cs | 26 + .../EquationSolver/InvertNode.Classes.cs | 9 + ...aluation.Continuous.Arithmetics.Classes.cs | 29 + .../Output/Latex/Latex.Arithmetics.Classes.cs | 7 + .../ToString/ToString.Arithmetics.Classes.cs | 9 + .../ToSympy/ToSympy.Arithmetics.Classes.cs | 6 + Sources/AngouriMath/Functions/Substitute.cs | 7 + .../Functions/TreeAnalyzer/Sort.Classes.cs | 6 + .../Functions.Continuous.fs | 11 +- .../UnitTests/Convenience/ModulusTest.cs | 196 ++ 26 files changed, 1996 insertions(+), 1546 deletions(-) create mode 100644 Sources/AngouriMath/Functions/Compilation/RealOnly.cs create mode 100644 Sources/Tests/UnitTests/Convenience/ModulusTest.cs diff --git a/Sources/AngouriMath/Convenience/MathS.cs b/Sources/AngouriMath/Convenience/MathS.cs index c3f8644b3..12b343f2c 100644 --- a/Sources/AngouriMath/Convenience/MathS.cs +++ b/Sources/AngouriMath/Convenience/MathS.cs @@ -417,6 +417,21 @@ public static Integer GreatestCommonDivisor(Integer a, Integer b) [MethodImpl(MethodImplOptions.AggressiveInlining), NativeExport] public static Entity Pow(Entity @base, Entity power) => new Powf(@base, power); + /// + /// The remainder after dividing one expression by another, that is, the node + /// % . + /// + /// + /// The remainder takes the sign of the dividend, as C#'s own % does and as the + /// underlying arbitrary-precision arithmetic does: (-7) % 3 is -1, not 2. That is + /// the truncated convention, not the Euclidean one -- for a non-negative answer whatever + /// the sign of the dividend, write (a % b + b) % b. + /// + /// The expression whose remainder is taken + /// The expression divided by; the result is undefined where it is zero + /// The node of the remainder + public static Entity Mod(Entity dividend, Entity divisor) => new Modf(dividend, divisor); + /// Special case of /// The argument of which square root will be taken /// Power node with (1/2) as the power diff --git a/Sources/AngouriMath/Core/Antlr/AngouriMath.g b/Sources/AngouriMath/Core/Antlr/AngouriMath.g index 743493935..69ef97934 100644 --- a/Sources/AngouriMath/Core/Antlr/AngouriMath.g +++ b/Sources/AngouriMath/Core/Antlr/AngouriMath.g @@ -97,7 +97,8 @@ unary_expression returns[Entity value] mult_expression returns[Entity value] : u1 = unary_expression { $value = $u1.value; } ('*' u2 = unary_expression { $value = $value * $u2.value; } | - '/' u2 = unary_expression { $value = $value / $u2.value; })* + '/' u2 = unary_expression { $value = $value / $u2.value; } | + '%' u2 = unary_expression { $value = $value % $u2.value; })* ; sum_expression returns[Entity value] diff --git a/Sources/AngouriMath/Core/Antlr/AngouriMath.interp b/Sources/AngouriMath/Core/Antlr/AngouriMath.interp index 0d4069d16..ada66e227 100644 --- a/Sources/AngouriMath/Core/Antlr/AngouriMath.interp +++ b/Sources/AngouriMath/Core/Antlr/AngouriMath.interp @@ -6,6 +6,7 @@ null '+' '*' '/' +'%' 'intersect' '/\\' 'unite' @@ -264,6 +265,7 @@ null null null null +null NEWLINE NUMBER SPECIALSET @@ -298,4 +300,4 @@ statement atn: -[4, 1, 134, 807, 2, 0, 7, 0, 2, 1, 7, 1, 2, 2, 7, 2, 2, 3, 7, 3, 2, 4, 7, 4, 2, 5, 7, 5, 2, 6, 7, 6, 2, 7, 7, 7, 2, 8, 7, 8, 2, 9, 7, 9, 2, 10, 7, 10, 2, 11, 7, 11, 2, 12, 7, 12, 2, 13, 7, 13, 2, 14, 7, 14, 2, 15, 7, 15, 2, 16, 7, 16, 2, 17, 7, 17, 2, 18, 7, 18, 2, 19, 7, 19, 2, 20, 7, 20, 2, 21, 7, 21, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 3, 0, 52, 8, 0, 1, 1, 1, 1, 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+COMMENT=134 +WS=135 '!'=1 '^'=2 '-'=3 '+'=4 '*'=5 '/'=6 -'intersect'=7 -'/\\'=8 -'unite'=9 -'\\/'=10 -'setsubtract'=11 -'\\'=12 -'in'=13 -'>='=14 -'<='=15 -'>'=16 -'<'=17 -'='=18 -'<>'=19 -'not'=20 -'and'=21 -'&'=22 -'xor'=23 -'or'=24 -'|'=25 -'implies'=26 -'->'=27 -'provided'=28 -','=29 -';'=30 -':'=31 -'+oo'=32 -'-oo'=33 -'(|'=34 -'|)'=35 -'['=36 -']T'=37 -']'=38 -'('=39 -')'=40 -'{'=41 -'}'=42 -'log('=43 -'pow('=44 -'sqrt('=45 -'cbrt('=46 -'sqr('=47 -'ln('=48 -'sin('=49 -'cos('=50 -'tan('=51 -'cotan('=52 -'cot('=53 -'sec('=54 -'cosec('=55 -'csc('=56 -'arcsin('=57 -'arccos('=58 -'arctan('=59 -'arccotan('=60 -'arcsec('=61 -'arccosec('=62 -'arccsc('=63 -'acsc('=64 -'asin('=65 -'acos('=66 -'atan('=67 -'acotan('=68 -'asec('=69 -'acosec('=70 -'acot('=71 -'arccot('=72 -'sinh('=73 -'sh('=74 -'cosh('=75 -'ch('=76 -'tanh('=77 -'th('=78 -'cotanh('=79 -'coth('=80 -'cth('=81 -'sech('=82 -'sch('=83 -'cosech('=84 -'csch('=85 -'asinh('=86 -'arsinh('=87 -'arsh('=88 -'arcsinh('=89 -'acosh('=90 -'arcosh('=91 -'arch('=92 -'arccosh('=93 -'atanh('=94 -'artanh('=95 -'arth('=96 -'arctanh('=97 -'acoth('=98 -'arcoth('=99 -'acotanh('=100 -'arcotanh('=101 -'arcth('=102 -'arccotanh('=103 -'asech('=104 -'arsech('=105 -'arsch('=106 -'arcsech('=107 -'acosech('=108 -'arcosech('=109 -'arcsch('=110 -'arccosech('=111 -'acsch('=112 -'gamma('=113 -'derivative('=114 -'integral('=115 -'limit('=116 -'limitleft('=117 -'limitright('=118 -'signum('=119 -'sgn('=120 -'sign('=121 -'abs('=122 -'phi('=123 -'domain('=124 -'piecewise('=125 -'apply('=126 -'lambda('=127 +'%'=7 +'intersect'=8 +'/\\'=9 +'unite'=10 +'\\/'=11 +'setsubtract'=12 +'\\'=13 +'in'=14 +'>='=15 +'<='=16 +'>'=17 +'<'=18 +'='=19 +'<>'=20 +'not'=21 +'and'=22 +'&'=23 +'xor'=24 +'or'=25 +'|'=26 +'implies'=27 +'->'=28 +'provided'=29 +','=30 +';'=31 +':'=32 +'+oo'=33 +'-oo'=34 +'(|'=35 +'|)'=36 +'['=37 +']T'=38 +']'=39 +'('=40 +')'=41 +'{'=42 +'}'=43 +'log('=44 +'pow('=45 +'sqrt('=46 +'cbrt('=47 +'sqr('=48 +'ln('=49 +'sin('=50 +'cos('=51 +'tan('=52 +'cotan('=53 +'cot('=54 +'sec('=55 +'cosec('=56 +'csc('=57 +'arcsin('=58 +'arccos('=59 +'arctan('=60 +'arccotan('=61 +'arcsec('=62 +'arccosec('=63 +'arccsc('=64 +'acsc('=65 +'asin('=66 +'acos('=67 +'atan('=68 +'acotan('=69 +'asec('=70 +'acosec('=71 +'acot('=72 +'arccot('=73 +'sinh('=74 +'sh('=75 +'cosh('=76 +'ch('=77 +'tanh('=78 +'th('=79 +'cotanh('=80 +'coth('=81 +'cth('=82 +'sech('=83 +'sch('=84 +'cosech('=85 +'csch('=86 +'asinh('=87 +'arsinh('=88 +'arsh('=89 +'arcsinh('=90 +'acosh('=91 +'arcosh('=92 +'arch('=93 +'arccosh('=94 +'atanh('=95 +'artanh('=96 +'arth('=97 +'arctanh('=98 +'acoth('=99 +'arcoth('=100 +'acotanh('=101 +'arcotanh('=102 +'arcth('=103 +'arccotanh('=104 +'asech('=105 +'arsech('=106 +'arsch('=107 +'arcsech('=108 +'acosech('=109 +'arcosech('=110 +'arcsch('=111 +'arccosech('=112 +'acsch('=113 +'gamma('=114 +'derivative('=115 +'integral('=116 +'limit('=117 +'limitleft('=118 +'limitright('=119 +'signum('=120 +'sgn('=121 +'sign('=122 +'abs('=123 +'phi('=124 +'domain('=125 +'piecewise('=126 +'apply('=127 +'lambda('=128 diff --git a/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.cs b/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.cs index 5f302cfac..5e189e5ba 100644 --- a/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.cs +++ b/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.cs @@ -52,8 +52,8 @@ public const int T__107=108, T__108=109, T__109=110, T__110=111, T__111=112, T__112=113, T__113=114, T__114=115, T__115=116, T__116=117, T__117=118, T__118=119, T__119=120, T__120=121, T__121=122, T__122=123, T__123=124, T__124=125, - T__125=126, T__126=127, NEWLINE=128, NUMBER=129, SPECIALSET=130, BOOLEAN=131, - VARIABLE=132, COMMENT=133, WS=134; + T__125=126, T__126=127, T__127=128, NEWLINE=129, NUMBER=130, SPECIALSET=131, + BOOLEAN=132, VARIABLE=133, COMMENT=134, WS=135; public static string[] channelNames = { "DEFAULT_TOKEN_CHANNEL", "HIDDEN" }; @@ -79,8 +79,8 @@ public const int "T__105", "T__106", "T__107", "T__108", "T__109", "T__110", "T__111", "T__112", "T__113", "T__114", "T__115", "T__116", "T__117", "T__118", "T__119", "T__120", "T__121", "T__122", "T__123", "T__124", "T__125", - "T__126", "NEWLINE", "EXPONENT", "NUMBER", "SPECIALSET", "BOOLEAN", "VARIABLE", - "COMMENT", "WS" + "T__126", "T__127", "NEWLINE", "EXPONENT", "NUMBER", "SPECIALSET", "BOOLEAN", + "VARIABLE", "COMMENT", "WS" }; @@ -101,25 +101,25 @@ public AngouriMathLexer(ICharStream input, TextWriter output, TextWriter errorOu } private static readonly string[] _LiteralNames = { - null, "'!'", "'^'", "'-'", "'+'", "'*'", "'/'", "'intersect'", "'/\\'", - "'unite'", "'\\/'", "'setsubtract'", "'\\'", "'in'", "'>='", "'<='", "'>'", - "'<'", "'='", "'<>'", "'not'", "'and'", "'&'", "'xor'", "'or'", "'|'", - "'implies'", "'->'", "'provided'", "','", "';'", "':'", "'+oo'", "'-oo'", - "'(|'", "'|)'", "'['", "']T'", "']'", "'('", "')'", "'{'", "'}'", "'log('", - "'pow('", "'sqrt('", "'cbrt('", "'sqr('", "'ln('", "'sin('", "'cos('", - "'tan('", "'cotan('", "'cot('", "'sec('", "'cosec('", "'csc('", "'arcsin('", - "'arccos('", "'arctan('", "'arccotan('", "'arcsec('", "'arccosec('", "'arccsc('", - "'acsc('", "'asin('", "'acos('", "'atan('", "'acotan('", "'asec('", "'acosec('", - "'acot('", "'arccot('", "'sinh('", "'sh('", "'cosh('", "'ch('", "'tanh('", - "'th('", "'cotanh('", "'coth('", "'cth('", "'sech('", "'sch('", "'cosech('", - "'csch('", "'asinh('", "'arsinh('", "'arsh('", "'arcsinh('", "'acosh('", - "'arcosh('", "'arch('", "'arccosh('", "'atanh('", "'artanh('", "'arth('", - "'arctanh('", "'acoth('", "'arcoth('", "'acotanh('", "'arcotanh('", "'arcth('", - "'arccotanh('", "'asech('", "'arsech('", "'arsch('", "'arcsech('", "'acosech('", - "'arcosech('", "'arcsch('", "'arccosech('", "'acsch('", "'gamma('", "'derivative('", - "'integral('", "'limit('", "'limitleft('", "'limitright('", "'signum('", - "'sgn('", "'sign('", "'abs('", "'phi('", "'domain('", "'piecewise('", - "'apply('", "'lambda('" + null, "'!'", "'^'", "'-'", "'+'", "'*'", "'/'", "'%'", "'intersect'", + "'/\\'", "'unite'", "'\\/'", "'setsubtract'", "'\\'", "'in'", "'>='", + "'<='", "'>'", "'<'", "'='", "'<>'", "'not'", "'and'", "'&'", "'xor'", + "'or'", "'|'", "'implies'", "'->'", "'provided'", "','", "';'", "':'", + "'+oo'", "'-oo'", "'(|'", "'|)'", "'['", "']T'", "']'", "'('", "')'", + "'{'", "'}'", "'log('", "'pow('", "'sqrt('", "'cbrt('", "'sqr('", "'ln('", + "'sin('", "'cos('", "'tan('", "'cotan('", "'cot('", "'sec('", "'cosec('", + "'csc('", "'arcsin('", "'arccos('", "'arctan('", "'arccotan('", "'arcsec('", + "'arccosec('", "'arccsc('", "'acsc('", "'asin('", "'acos('", "'atan('", + "'acotan('", "'asec('", "'acosec('", "'acot('", "'arccot('", "'sinh('", + "'sh('", "'cosh('", "'ch('", "'tanh('", "'th('", "'cotanh('", "'coth('", + "'cth('", "'sech('", "'sch('", "'cosech('", "'csch('", "'asinh('", "'arsinh('", + "'arsh('", "'arcsinh('", "'acosh('", "'arcosh('", "'arch('", "'arccosh('", + "'atanh('", "'artanh('", "'arth('", "'arctanh('", "'acoth('", "'arcoth('", + "'acotanh('", "'arcotanh('", "'arcth('", "'arccotanh('", "'asech('", "'arsech('", + "'arsch('", "'arcsech('", "'acosech('", "'arcosech('", "'arcsch('", "'arccosech('", + "'acsch('", "'gamma('", "'derivative('", "'integral('", "'limit('", "'limitleft('", + "'limitright('", "'signum('", "'sgn('", "'sign('", "'abs('", "'phi('", + "'domain('", "'piecewise('", "'apply('", "'lambda('" }; private static readonly string[] _SymbolicNames = { null, null, null, null, null, null, null, null, null, null, null, null, @@ -132,8 +132,8 @@ public AngouriMathLexer(ICharStream input, TextWriter output, TextWriter errorOu null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, - null, null, null, null, null, null, null, null, "NEWLINE", "NUMBER", "SPECIALSET", - "BOOLEAN", "VARIABLE", "COMMENT", "WS" + null, null, null, null, null, null, null, null, null, "NEWLINE", "NUMBER", + "SPECIALSET", "BOOLEAN", "VARIABLE", "COMMENT", "WS" }; public static readonly IVocabulary DefaultVocabulary = new Vocabulary(_LiteralNames, _SymbolicNames); @@ -163,7 +163,7 @@ static AngouriMathLexer() { } } private static int[] _serializedATN = { - 4,0,134,1154,6,-1,2,0,7,0,2,1,7,1,2,2,7,2,2,3,7,3,2,4,7,4,2,5,7,5,2,6, + 4,0,135,1158,6,-1,2,0,7,0,2,1,7,1,2,2,7,2,2,3,7,3,2,4,7,4,2,5,7,5,2,6, 7,6,2,7,7,7,2,8,7,8,2,9,7,9,2,10,7,10,2,11,7,11,2,12,7,12,2,13,7,13,2, 14,7,14,2,15,7,15,2,16,7,16,2,17,7,17,2,18,7,18,2,19,7,19,2,20,7,20,2, 21,7,21,2,22,7,22,2,23,7,23,2,24,7,24,2,25,7,25,2,26,7,26,2,27,7,27,2, @@ -183,373 +183,375 @@ static AngouriMathLexer() { 7,116,2,117,7,117,2,118,7,118,2,119,7,119,2,120,7,120,2,121,7,121,2,122, 7,122,2,123,7,123,2,124,7,124,2,125,7,125,2,126,7,126,2,127,7,127,2,128, 7,128,2,129,7,129,2,130,7,130,2,131,7,131,2,132,7,132,2,133,7,133,2,134, - 7,134,1,0,1,0,1,1,1,1,1,2,1,2,1,3,1,3,1,4,1,4,1,5,1,5,1,6,1,6,1,6,1,6, - 1,6,1,6,1,6,1,6,1,6,1,6,1,7,1,7,1,7,1,8,1,8,1,8,1,8,1,8,1,8,1,9,1,9,1, - 9,1,10,1,10,1,10,1,10,1,10,1,10,1,10,1,10,1,10,1,10,1,10,1,10,1,11,1,11, - 1,12,1,12,1,12,1,13,1,13,1,13,1,14,1,14,1,14,1,15,1,15,1,16,1,16,1,17, - 1,17,1,18,1,18,1,18,1,19,1,19,1,19,1,19,1,20,1,20,1,20,1,20,1,21,1,21, - 1,22,1,22,1,22,1,22,1,23,1,23,1,23,1,24,1,24,1,25,1,25,1,25,1,25,1,25, - 1,25,1,25,1,25,1,26,1,26,1,26,1,27,1,27,1,27,1,27,1,27,1,27,1,27,1,27, - 1,27,1,28,1,28,1,29,1,29,1,30,1,30,1,31,1,31,1,31,1,31,1,32,1,32,1,32, - 1,32,1,33,1,33,1,33,1,34,1,34,1,34,1,35,1,35,1,36,1,36,1,36,1,37,1,37, - 1,38,1,38,1,39,1,39,1,40,1,40,1,41,1,41,1,42,1,42,1,42,1,42,1,42,1,43, - 1,43,1,43,1,43,1,43,1,44,1,44,1,44,1,44,1,44,1,44,1,45,1,45,1,45,1,45, - 1,45,1,45,1,46,1,46,1,46,1,46,1,46,1,47,1,47,1,47,1,47,1,48,1,48,1,48, + 7,134,2,135,7,135,1,0,1,0,1,1,1,1,1,2,1,2,1,3,1,3,1,4,1,4,1,5,1,5,1,6, + 1,6,1,7,1,7,1,7,1,7,1,7,1,7,1,7,1,7,1,7,1,7,1,8,1,8,1,8,1,9,1,9,1,9,1, + 9,1,9,1,9,1,10,1,10,1,10,1,11,1,11,1,11,1,11,1,11,1,11,1,11,1,11,1,11, + 1,11,1,11,1,11,1,12,1,12,1,13,1,13,1,13,1,14,1,14,1,14,1,15,1,15,1,15, + 1,16,1,16,1,17,1,17,1,18,1,18,1,19,1,19,1,19,1,20,1,20,1,20,1,20,1,21, + 1,21,1,21,1,21,1,22,1,22,1,23,1,23,1,23,1,23,1,24,1,24,1,24,1,25,1,25, + 1,26,1,26,1,26,1,26,1,26,1,26,1,26,1,26,1,27,1,27,1,27,1,28,1,28,1,28, + 1,28,1,28,1,28,1,28,1,28,1,28,1,29,1,29,1,30,1,30,1,31,1,31,1,32,1,32, + 1,32,1,32,1,33,1,33,1,33,1,33,1,34,1,34,1,34,1,35,1,35,1,35,1,36,1,36, + 1,37,1,37,1,37,1,38,1,38,1,39,1,39,1,40,1,40,1,41,1,41,1,42,1,42,1,43, + 1,43,1,43,1,43,1,43,1,44,1,44,1,44,1,44,1,44,1,45,1,45,1,45,1,45,1,45, + 1,45,1,46,1,46,1,46,1,46,1,46,1,46,1,47,1,47,1,47,1,47,1,47,1,48,1,48, 1,48,1,48,1,49,1,49,1,49,1,49,1,49,1,50,1,50,1,50,1,50,1,50,1,51,1,51, - 1,51,1,51,1,51,1,51,1,51,1,52,1,52,1,52,1,52,1,52,1,53,1,53,1,53,1,53, - 1,53,1,54,1,54,1,54,1,54,1,54,1,54,1,54,1,55,1,55,1,55,1,55,1,55,1,56, - 1,56,1,56,1,56,1,56,1,56,1,56,1,56,1,57,1,57,1,57,1,57,1,57,1,57,1,57, - 1,57,1,58,1,58,1,58,1,58,1,58,1,58,1,58,1,58,1,59,1,59,1,59,1,59,1,59, - 1,59,1,59,1,59,1,59,1,59,1,60,1,60,1,60,1,60,1,60,1,60,1,60,1,60,1,61, - 1,61,1,61,1,61,1,61,1,61,1,61,1,61,1,61,1,61,1,62,1,62,1,62,1,62,1,62, - 1,62,1,62,1,62,1,63,1,63,1,63,1,63,1,63,1,63,1,64,1,64,1,64,1,64,1,64, - 1,64,1,65,1,65,1,65,1,65,1,65,1,65,1,66,1,66,1,66,1,66,1,66,1,66,1,67, - 1,67,1,67,1,67,1,67,1,67,1,67,1,67,1,68,1,68,1,68,1,68,1,68,1,68,1,69, - 1,69,1,69,1,69,1,69,1,69,1,69,1,69,1,70,1,70,1,70,1,70,1,70,1,70,1,71, - 1,71,1,71,1,71,1,71,1,71,1,71,1,71,1,72,1,72,1,72,1,72,1,72,1,72,1,73, - 1,73,1,73,1,73,1,74,1,74,1,74,1,74,1,74,1,74,1,75,1,75,1,75,1,75,1,76, - 1,76,1,76,1,76,1,76,1,76,1,77,1,77,1,77,1,77,1,78,1,78,1,78,1,78,1,78, - 1,78,1,78,1,78,1,79,1,79,1,79,1,79,1,79,1,79,1,80,1,80,1,80,1,80,1,80, - 1,81,1,81,1,81,1,81,1,81,1,81,1,82,1,82,1,82,1,82,1,82,1,83,1,83,1,83, - 1,83,1,83,1,83,1,83,1,83,1,84,1,84,1,84,1,84,1,84,1,84,1,85,1,85,1,85, - 1,85,1,85,1,85,1,85,1,86,1,86,1,86,1,86,1,86,1,86,1,86,1,86,1,87,1,87, - 1,87,1,87,1,87,1,87,1,88,1,88,1,88,1,88,1,88,1,88,1,88,1,88,1,88,1,89, - 1,89,1,89,1,89,1,89,1,89,1,89,1,90,1,90,1,90,1,90,1,90,1,90,1,90,1,90, - 1,91,1,91,1,91,1,91,1,91,1,91,1,92,1,92,1,92,1,92,1,92,1,92,1,92,1,92, - 1,92,1,93,1,93,1,93,1,93,1,93,1,93,1,93,1,94,1,94,1,94,1,94,1,94,1,94, - 1,94,1,94,1,95,1,95,1,95,1,95,1,95,1,95,1,96,1,96,1,96,1,96,1,96,1,96, - 1,96,1,96,1,96,1,97,1,97,1,97,1,97,1,97,1,97,1,97,1,98,1,98,1,98,1,98, - 1,98,1,98,1,98,1,98,1,99,1,99,1,99,1,99,1,99,1,99,1,99,1,99,1,99,1,100, - 1,100,1,100,1,100,1,100,1,100,1,100,1,100,1,100,1,100,1,101,1,101,1,101, - 1,101,1,101,1,101,1,101,1,102,1,102,1,102,1,102,1,102,1,102,1,102,1,102, - 1,102,1,102,1,102,1,103,1,103,1,103,1,103,1,103,1,103,1,103,1,104,1,104, - 1,104,1,104,1,104,1,104,1,104,1,104,1,105,1,105,1,105,1,105,1,105,1,105, - 1,105,1,106,1,106,1,106,1,106,1,106,1,106,1,106,1,106,1,106,1,107,1,107, - 1,107,1,107,1,107,1,107,1,107,1,107,1,107,1,108,1,108,1,108,1,108,1,108, - 1,108,1,108,1,108,1,108,1,108,1,109,1,109,1,109,1,109,1,109,1,109,1,109, - 1,109,1,110,1,110,1,110,1,110,1,110,1,110,1,110,1,110,1,110,1,110,1,110, - 1,111,1,111,1,111,1,111,1,111,1,111,1,111,1,112,1,112,1,112,1,112,1,112, - 1,112,1,112,1,113,1,113,1,113,1,113,1,113,1,113,1,113,1,113,1,113,1,113, - 1,113,1,113,1,114,1,114,1,114,1,114,1,114,1,114,1,114,1,114,1,114,1,114, - 1,115,1,115,1,115,1,115,1,115,1,115,1,115,1,116,1,116,1,116,1,116,1,116, - 1,116,1,116,1,116,1,116,1,116,1,116,1,117,1,117,1,117,1,117,1,117,1,117, - 1,117,1,117,1,117,1,117,1,117,1,117,1,118,1,118,1,118,1,118,1,118,1,118, - 1,118,1,118,1,119,1,119,1,119,1,119,1,119,1,120,1,120,1,120,1,120,1,120, - 1,120,1,121,1,121,1,121,1,121,1,121,1,122,1,122,1,122,1,122,1,122,1,123, - 1,123,1,123,1,123,1,123,1,123,1,123,1,123,1,124,1,124,1,124,1,124,1,124, - 1,124,1,124,1,124,1,124,1,124,1,124,1,125,1,125,1,125,1,125,1,125,1,125, - 1,125,1,126,1,126,1,126,1,126,1,126,1,126,1,126,1,126,1,127,3,127,1022, - 8,127,1,127,4,127,1025,8,127,11,127,12,127,1026,1,127,1,127,1,128,1,128, - 3,128,1033,8,128,1,128,4,128,1036,8,128,11,128,12,128,1037,1,129,4,129, - 1041,8,129,11,129,12,129,1042,1,129,1,129,5,129,1047,8,129,10,129,12,129, - 1050,9,129,1,129,3,129,1053,8,129,1,129,3,129,1056,8,129,1,129,3,129,1059, - 8,129,1,129,4,129,1062,8,129,11,129,12,129,1063,1,129,3,129,1067,8,129, - 1,129,3,129,1070,8,129,1,129,3,129,1073,8,129,1,130,1,130,1,130,1,130, - 1,130,1,130,1,130,1,130,1,130,1,130,3,130,1085,8,130,1,131,1,131,1,131, - 1,131,1,131,1,131,1,131,1,131,1,131,1,131,1,131,1,131,1,131,1,131,1,131, - 1,131,1,131,1,131,3,131,1105,8,131,1,132,4,132,1108,8,132,11,132,12,132, - 1109,1,132,1,132,4,132,1114,8,132,11,132,12,132,1115,3,132,1118,8,132, - 1,133,1,133,1,133,1,133,5,133,1124,8,133,10,133,12,133,1127,9,133,1,133, - 3,133,1130,8,133,1,133,1,133,1,133,1,133,1,133,5,133,1137,8,133,10,133, - 12,133,1140,9,133,1,133,1,133,3,133,1144,8,133,1,133,1,133,1,134,4,134, - 1149,8,134,11,134,12,134,1150,1,134,1,134,1,1138,0,135,1,1,3,2,5,3,7,4, - 9,5,11,6,13,7,15,8,17,9,19,10,21,11,23,12,25,13,27,14,29,15,31,16,33,17, - 35,18,37,19,39,20,41,21,43,22,45,23,47,24,49,25,51,26,53,27,55,28,57,29, - 59,30,61,31,63,32,65,33,67,34,69,35,71,36,73,37,75,38,77,39,79,40,81,41, - 83,42,85,43,87,44,89,45,91,46,93,47,95,48,97,49,99,50,101,51,103,52,105, - 53,107,54,109,55,111,56,113,57,115,58,117,59,119,60,121,61,123,62,125, - 63,127,64,129,65,131,66,133,67,135,68,137,69,139,70,141,71,143,72,145, - 73,147,74,149,75,151,76,153,77,155,78,157,79,159,80,161,81,163,82,165, - 83,167,84,169,85,171,86,173,87,175,88,177,89,179,90,181,91,183,92,185, - 93,187,94,189,95,191,96,193,97,195,98,197,99,199,100,201,101,203,102,205, - 103,207,104,209,105,211,106,213,107,215,108,217,109,219,110,221,111,223, - 112,225,113,227,114,229,115,231,116,233,117,235,118,237,119,239,120,241, - 121,243,122,245,123,247,124,249,125,251,126,253,127,255,128,257,0,259, - 129,261,130,263,131,265,132,267,133,269,134,1,0,6,2,0,69,69,101,101,2, - 0,43,43,45,45,4,0,65,90,97,122,880,1279,7936,8191,5,0,48,57,65,90,97,122, - 880,1279,7936,8191,2,0,10,10,13,13,2,0,9,9,32,32,1181,0,1,1,0,0,0,0,3, - 1,0,0,0,0,5,1,0,0,0,0,7,1,0,0,0,0,9,1,0,0,0,0,11,1,0,0,0,0,13,1,0,0,0, - 0,15,1,0,0,0,0,17,1,0,0,0,0,19,1,0,0,0,0,21,1,0,0,0,0,23,1,0,0,0,0,25, - 1,0,0,0,0,27,1,0,0,0,0,29,1,0,0,0,0,31,1,0,0,0,0,33,1,0,0,0,0,35,1,0,0, - 0,0,37,1,0,0,0,0,39,1,0,0,0,0,41,1,0,0,0,0,43,1,0,0,0,0,45,1,0,0,0,0,47, - 1,0,0,0,0,49,1,0,0,0,0,51,1,0,0,0,0,53,1,0,0,0,0,55,1,0,0,0,0,57,1,0,0, - 0,0,59,1,0,0,0,0,61,1,0,0,0,0,63,1,0,0,0,0,65,1,0,0,0,0,67,1,0,0,0,0,69, - 1,0,0,0,0,71,1,0,0,0,0,73,1,0,0,0,0,75,1,0,0,0,0,77,1,0,0,0,0,79,1,0,0, - 0,0,81,1,0,0,0,0,83,1,0,0,0,0,85,1,0,0,0,0,87,1,0,0,0,0,89,1,0,0,0,0,91, - 1,0,0,0,0,93,1,0,0,0,0,95,1,0,0,0,0,97,1,0,0,0,0,99,1,0,0,0,0,101,1,0, - 0,0,0,103,1,0,0,0,0,105,1,0,0,0,0,107,1,0,0,0,0,109,1,0,0,0,0,111,1,0, - 0,0,0,113,1,0,0,0,0,115,1,0,0,0,0,117,1,0,0,0,0,119,1,0,0,0,0,121,1,0, - 0,0,0,123,1,0,0,0,0,125,1,0,0,0,0,127,1,0,0,0,0,129,1,0,0,0,0,131,1,0, - 0,0,0,133,1,0,0,0,0,135,1,0,0,0,0,137,1,0,0,0,0,139,1,0,0,0,0,141,1,0, - 0,0,0,143,1,0,0,0,0,145,1,0,0,0,0,147,1,0,0,0,0,149,1,0,0,0,0,151,1,0, - 0,0,0,153,1,0,0,0,0,155,1,0,0,0,0,157,1,0,0,0,0,159,1,0,0,0,0,161,1,0, - 0,0,0,163,1,0,0,0,0,165,1,0,0,0,0,167,1,0,0,0,0,169,1,0,0,0,0,171,1,0, - 0,0,0,173,1,0,0,0,0,175,1,0,0,0,0,177,1,0,0,0,0,179,1,0,0,0,0,181,1,0, - 0,0,0,183,1,0,0,0,0,185,1,0,0,0,0,187,1,0,0,0,0,189,1,0,0,0,0,191,1,0, - 0,0,0,193,1,0,0,0,0,195,1,0,0,0,0,197,1,0,0,0,0,199,1,0,0,0,0,201,1,0, - 0,0,0,203,1,0,0,0,0,205,1,0,0,0,0,207,1,0,0,0,0,209,1,0,0,0,0,211,1,0, - 0,0,0,213,1,0,0,0,0,215,1,0,0,0,0,217,1,0,0,0,0,219,1,0,0,0,0,221,1,0, - 0,0,0,223,1,0,0,0,0,225,1,0,0,0,0,227,1,0,0,0,0,229,1,0,0,0,0,231,1,0, - 0,0,0,233,1,0,0,0,0,235,1,0,0,0,0,237,1,0,0,0,0,239,1,0,0,0,0,241,1,0, - 0,0,0,243,1,0,0,0,0,245,1,0,0,0,0,247,1,0,0,0,0,249,1,0,0,0,0,251,1,0, - 0,0,0,253,1,0,0,0,0,255,1,0,0,0,0,259,1,0,0,0,0,261,1,0,0,0,0,263,1,0, - 0,0,0,265,1,0,0,0,0,267,1,0,0,0,0,269,1,0,0,0,1,271,1,0,0,0,3,273,1,0, - 0,0,5,275,1,0,0,0,7,277,1,0,0,0,9,279,1,0,0,0,11,281,1,0,0,0,13,283,1, - 0,0,0,15,293,1,0,0,0,17,296,1,0,0,0,19,302,1,0,0,0,21,305,1,0,0,0,23,317, - 1,0,0,0,25,319,1,0,0,0,27,322,1,0,0,0,29,325,1,0,0,0,31,328,1,0,0,0,33, - 330,1,0,0,0,35,332,1,0,0,0,37,334,1,0,0,0,39,337,1,0,0,0,41,341,1,0,0, - 0,43,345,1,0,0,0,45,347,1,0,0,0,47,351,1,0,0,0,49,354,1,0,0,0,51,356,1, - 0,0,0,53,364,1,0,0,0,55,367,1,0,0,0,57,376,1,0,0,0,59,378,1,0,0,0,61,380, - 1,0,0,0,63,382,1,0,0,0,65,386,1,0,0,0,67,390,1,0,0,0,69,393,1,0,0,0,71, - 396,1,0,0,0,73,398,1,0,0,0,75,401,1,0,0,0,77,403,1,0,0,0,79,405,1,0,0, - 0,81,407,1,0,0,0,83,409,1,0,0,0,85,411,1,0,0,0,87,416,1,0,0,0,89,421,1, - 0,0,0,91,427,1,0,0,0,93,433,1,0,0,0,95,438,1,0,0,0,97,442,1,0,0,0,99,447, - 1,0,0,0,101,452,1,0,0,0,103,457,1,0,0,0,105,464,1,0,0,0,107,469,1,0,0, - 0,109,474,1,0,0,0,111,481,1,0,0,0,113,486,1,0,0,0,115,494,1,0,0,0,117, - 502,1,0,0,0,119,510,1,0,0,0,121,520,1,0,0,0,123,528,1,0,0,0,125,538,1, - 0,0,0,127,546,1,0,0,0,129,552,1,0,0,0,131,558,1,0,0,0,133,564,1,0,0,0, - 135,570,1,0,0,0,137,578,1,0,0,0,139,584,1,0,0,0,141,592,1,0,0,0,143,598, - 1,0,0,0,145,606,1,0,0,0,147,612,1,0,0,0,149,616,1,0,0,0,151,622,1,0,0, - 0,153,626,1,0,0,0,155,632,1,0,0,0,157,636,1,0,0,0,159,644,1,0,0,0,161, - 650,1,0,0,0,163,655,1,0,0,0,165,661,1,0,0,0,167,666,1,0,0,0,169,674,1, - 0,0,0,171,680,1,0,0,0,173,687,1,0,0,0,175,695,1,0,0,0,177,701,1,0,0,0, - 179,710,1,0,0,0,181,717,1,0,0,0,183,725,1,0,0,0,185,731,1,0,0,0,187,740, - 1,0,0,0,189,747,1,0,0,0,191,755,1,0,0,0,193,761,1,0,0,0,195,770,1,0,0, - 0,197,777,1,0,0,0,199,785,1,0,0,0,201,794,1,0,0,0,203,804,1,0,0,0,205, - 811,1,0,0,0,207,822,1,0,0,0,209,829,1,0,0,0,211,837,1,0,0,0,213,844,1, - 0,0,0,215,853,1,0,0,0,217,862,1,0,0,0,219,872,1,0,0,0,221,880,1,0,0,0, - 223,891,1,0,0,0,225,898,1,0,0,0,227,905,1,0,0,0,229,917,1,0,0,0,231,927, - 1,0,0,0,233,934,1,0,0,0,235,945,1,0,0,0,237,957,1,0,0,0,239,965,1,0,0, - 0,241,970,1,0,0,0,243,976,1,0,0,0,245,981,1,0,0,0,247,986,1,0,0,0,249, - 994,1,0,0,0,251,1005,1,0,0,0,253,1012,1,0,0,0,255,1024,1,0,0,0,257,1030, - 1,0,0,0,259,1072,1,0,0,0,261,1084,1,0,0,0,263,1104,1,0,0,0,265,1107,1, - 0,0,0,267,1143,1,0,0,0,269,1148,1,0,0,0,271,272,5,33,0,0,272,2,1,0,0,0, - 273,274,5,94,0,0,274,4,1,0,0,0,275,276,5,45,0,0,276,6,1,0,0,0,277,278, - 5,43,0,0,278,8,1,0,0,0,279,280,5,42,0,0,280,10,1,0,0,0,281,282,5,47,0, - 0,282,12,1,0,0,0,283,284,5,105,0,0,284,285,5,110,0,0,285,286,5,116,0,0, - 286,287,5,101,0,0,287,288,5,114,0,0,288,289,5,115,0,0,289,290,5,101,0, - 0,290,291,5,99,0,0,291,292,5,116,0,0,292,14,1,0,0,0,293,294,5,47,0,0,294, - 295,5,92,0,0,295,16,1,0,0,0,296,297,5,117,0,0,297,298,5,110,0,0,298,299, - 5,105,0,0,299,300,5,116,0,0,300,301,5,101,0,0,301,18,1,0,0,0,302,303,5, - 92,0,0,303,304,5,47,0,0,304,20,1,0,0,0,305,306,5,115,0,0,306,307,5,101, - 0,0,307,308,5,116,0,0,308,309,5,115,0,0,309,310,5,117,0,0,310,311,5,98, - 0,0,311,312,5,116,0,0,312,313,5,114,0,0,313,314,5,97,0,0,314,315,5,99, - 0,0,315,316,5,116,0,0,316,22,1,0,0,0,317,318,5,92,0,0,318,24,1,0,0,0,319, - 320,5,105,0,0,320,321,5,110,0,0,321,26,1,0,0,0,322,323,5,62,0,0,323,324, - 5,61,0,0,324,28,1,0,0,0,325,326,5,60,0,0,326,327,5,61,0,0,327,30,1,0,0, - 0,328,329,5,62,0,0,329,32,1,0,0,0,330,331,5,60,0,0,331,34,1,0,0,0,332, - 333,5,61,0,0,333,36,1,0,0,0,334,335,5,60,0,0,335,336,5,62,0,0,336,38,1, - 0,0,0,337,338,5,110,0,0,338,339,5,111,0,0,339,340,5,116,0,0,340,40,1,0, - 0,0,341,342,5,97,0,0,342,343,5,110,0,0,343,344,5,100,0,0,344,42,1,0,0, - 0,345,346,5,38,0,0,346,44,1,0,0,0,347,348,5,120,0,0,348,349,5,111,0,0, - 349,350,5,114,0,0,350,46,1,0,0,0,351,352,5,111,0,0,352,353,5,114,0,0,353, - 48,1,0,0,0,354,355,5,124,0,0,355,50,1,0,0,0,356,357,5,105,0,0,357,358, - 5,109,0,0,358,359,5,112,0,0,359,360,5,108,0,0,360,361,5,105,0,0,361,362, - 5,101,0,0,362,363,5,115,0,0,363,52,1,0,0,0,364,365,5,45,0,0,365,366,5, - 62,0,0,366,54,1,0,0,0,367,368,5,112,0,0,368,369,5,114,0,0,369,370,5,111, - 0,0,370,371,5,118,0,0,371,372,5,105,0,0,372,373,5,100,0,0,373,374,5,101, - 0,0,374,375,5,100,0,0,375,56,1,0,0,0,376,377,5,44,0,0,377,58,1,0,0,0,378, - 379,5,59,0,0,379,60,1,0,0,0,380,381,5,58,0,0,381,62,1,0,0,0,382,383,5, - 43,0,0,383,384,5,111,0,0,384,385,5,111,0,0,385,64,1,0,0,0,386,387,5,45, - 0,0,387,388,5,111,0,0,388,389,5,111,0,0,389,66,1,0,0,0,390,391,5,40,0, - 0,391,392,5,124,0,0,392,68,1,0,0,0,393,394,5,124,0,0,394,395,5,41,0,0, - 395,70,1,0,0,0,396,397,5,91,0,0,397,72,1,0,0,0,398,399,5,93,0,0,399,400, - 5,84,0,0,400,74,1,0,0,0,401,402,5,93,0,0,402,76,1,0,0,0,403,404,5,40,0, - 0,404,78,1,0,0,0,405,406,5,41,0,0,406,80,1,0,0,0,407,408,5,123,0,0,408, - 82,1,0,0,0,409,410,5,125,0,0,410,84,1,0,0,0,411,412,5,108,0,0,412,413, - 5,111,0,0,413,414,5,103,0,0,414,415,5,40,0,0,415,86,1,0,0,0,416,417,5, - 112,0,0,417,418,5,111,0,0,418,419,5,119,0,0,419,420,5,40,0,0,420,88,1, - 0,0,0,421,422,5,115,0,0,422,423,5,113,0,0,423,424,5,114,0,0,424,425,5, - 116,0,0,425,426,5,40,0,0,426,90,1,0,0,0,427,428,5,99,0,0,428,429,5,98, - 0,0,429,430,5,114,0,0,430,431,5,116,0,0,431,432,5,40,0,0,432,92,1,0,0, - 0,433,434,5,115,0,0,434,435,5,113,0,0,435,436,5,114,0,0,436,437,5,40,0, - 0,437,94,1,0,0,0,438,439,5,108,0,0,439,440,5,110,0,0,440,441,5,40,0,0, - 441,96,1,0,0,0,442,443,5,115,0,0,443,444,5,105,0,0,444,445,5,110,0,0,445, - 446,5,40,0,0,446,98,1,0,0,0,447,448,5,99,0,0,448,449,5,111,0,0,449,450, - 5,115,0,0,450,451,5,40,0,0,451,100,1,0,0,0,452,453,5,116,0,0,453,454,5, - 97,0,0,454,455,5,110,0,0,455,456,5,40,0,0,456,102,1,0,0,0,457,458,5,99, - 0,0,458,459,5,111,0,0,459,460,5,116,0,0,460,461,5,97,0,0,461,462,5,110, - 0,0,462,463,5,40,0,0,463,104,1,0,0,0,464,465,5,99,0,0,465,466,5,111,0, - 0,466,467,5,116,0,0,467,468,5,40,0,0,468,106,1,0,0,0,469,470,5,115,0,0, - 470,471,5,101,0,0,471,472,5,99,0,0,472,473,5,40,0,0,473,108,1,0,0,0,474, - 475,5,99,0,0,475,476,5,111,0,0,476,477,5,115,0,0,477,478,5,101,0,0,478, - 479,5,99,0,0,479,480,5,40,0,0,480,110,1,0,0,0,481,482,5,99,0,0,482,483, - 5,115,0,0,483,484,5,99,0,0,484,485,5,40,0,0,485,112,1,0,0,0,486,487,5, - 97,0,0,487,488,5,114,0,0,488,489,5,99,0,0,489,490,5,115,0,0,490,491,5, - 105,0,0,491,492,5,110,0,0,492,493,5,40,0,0,493,114,1,0,0,0,494,495,5,97, - 0,0,495,496,5,114,0,0,496,497,5,99,0,0,497,498,5,99,0,0,498,499,5,111, - 0,0,499,500,5,115,0,0,500,501,5,40,0,0,501,116,1,0,0,0,502,503,5,97,0, - 0,503,504,5,114,0,0,504,505,5,99,0,0,505,506,5,116,0,0,506,507,5,97,0, - 0,507,508,5,110,0,0,508,509,5,40,0,0,509,118,1,0,0,0,510,511,5,97,0,0, - 511,512,5,114,0,0,512,513,5,99,0,0,513,514,5,99,0,0,514,515,5,111,0,0, - 515,516,5,116,0,0,516,517,5,97,0,0,517,518,5,110,0,0,518,519,5,40,0,0, - 519,120,1,0,0,0,520,521,5,97,0,0,521,522,5,114,0,0,522,523,5,99,0,0,523, - 524,5,115,0,0,524,525,5,101,0,0,525,526,5,99,0,0,526,527,5,40,0,0,527, - 122,1,0,0,0,528,529,5,97,0,0,529,530,5,114,0,0,530,531,5,99,0,0,531,532, - 5,99,0,0,532,533,5,111,0,0,533,534,5,115,0,0,534,535,5,101,0,0,535,536, - 5,99,0,0,536,537,5,40,0,0,537,124,1,0,0,0,538,539,5,97,0,0,539,540,5,114, - 0,0,540,541,5,99,0,0,541,542,5,99,0,0,542,543,5,115,0,0,543,544,5,99,0, - 0,544,545,5,40,0,0,545,126,1,0,0,0,546,547,5,97,0,0,547,548,5,99,0,0,548, - 549,5,115,0,0,549,550,5,99,0,0,550,551,5,40,0,0,551,128,1,0,0,0,552,553, - 5,97,0,0,553,554,5,115,0,0,554,555,5,105,0,0,555,556,5,110,0,0,556,557, - 5,40,0,0,557,130,1,0,0,0,558,559,5,97,0,0,559,560,5,99,0,0,560,561,5,111, - 0,0,561,562,5,115,0,0,562,563,5,40,0,0,563,132,1,0,0,0,564,565,5,97,0, - 0,565,566,5,116,0,0,566,567,5,97,0,0,567,568,5,110,0,0,568,569,5,40,0, - 0,569,134,1,0,0,0,570,571,5,97,0,0,571,572,5,99,0,0,572,573,5,111,0,0, - 573,574,5,116,0,0,574,575,5,97,0,0,575,576,5,110,0,0,576,577,5,40,0,0, - 577,136,1,0,0,0,578,579,5,97,0,0,579,580,5,115,0,0,580,581,5,101,0,0,581, - 582,5,99,0,0,582,583,5,40,0,0,583,138,1,0,0,0,584,585,5,97,0,0,585,586, - 5,99,0,0,586,587,5,111,0,0,587,588,5,115,0,0,588,589,5,101,0,0,589,590, - 5,99,0,0,590,591,5,40,0,0,591,140,1,0,0,0,592,593,5,97,0,0,593,594,5,99, - 0,0,594,595,5,111,0,0,595,596,5,116,0,0,596,597,5,40,0,0,597,142,1,0,0, - 0,598,599,5,97,0,0,599,600,5,114,0,0,600,601,5,99,0,0,601,602,5,99,0,0, - 602,603,5,111,0,0,603,604,5,116,0,0,604,605,5,40,0,0,605,144,1,0,0,0,606, - 607,5,115,0,0,607,608,5,105,0,0,608,609,5,110,0,0,609,610,5,104,0,0,610, - 611,5,40,0,0,611,146,1,0,0,0,612,613,5,115,0,0,613,614,5,104,0,0,614,615, - 5,40,0,0,615,148,1,0,0,0,616,617,5,99,0,0,617,618,5,111,0,0,618,619,5, - 115,0,0,619,620,5,104,0,0,620,621,5,40,0,0,621,150,1,0,0,0,622,623,5,99, - 0,0,623,624,5,104,0,0,624,625,5,40,0,0,625,152,1,0,0,0,626,627,5,116,0, - 0,627,628,5,97,0,0,628,629,5,110,0,0,629,630,5,104,0,0,630,631,5,40,0, - 0,631,154,1,0,0,0,632,633,5,116,0,0,633,634,5,104,0,0,634,635,5,40,0,0, - 635,156,1,0,0,0,636,637,5,99,0,0,637,638,5,111,0,0,638,639,5,116,0,0,639, - 640,5,97,0,0,640,641,5,110,0,0,641,642,5,104,0,0,642,643,5,40,0,0,643, - 158,1,0,0,0,644,645,5,99,0,0,645,646,5,111,0,0,646,647,5,116,0,0,647,648, - 5,104,0,0,648,649,5,40,0,0,649,160,1,0,0,0,650,651,5,99,0,0,651,652,5, - 116,0,0,652,653,5,104,0,0,653,654,5,40,0,0,654,162,1,0,0,0,655,656,5,115, - 0,0,656,657,5,101,0,0,657,658,5,99,0,0,658,659,5,104,0,0,659,660,5,40, - 0,0,660,164,1,0,0,0,661,662,5,115,0,0,662,663,5,99,0,0,663,664,5,104,0, - 0,664,665,5,40,0,0,665,166,1,0,0,0,666,667,5,99,0,0,667,668,5,111,0,0, - 668,669,5,115,0,0,669,670,5,101,0,0,670,671,5,99,0,0,671,672,5,104,0,0, - 672,673,5,40,0,0,673,168,1,0,0,0,674,675,5,99,0,0,675,676,5,115,0,0,676, - 677,5,99,0,0,677,678,5,104,0,0,678,679,5,40,0,0,679,170,1,0,0,0,680,681, - 5,97,0,0,681,682,5,115,0,0,682,683,5,105,0,0,683,684,5,110,0,0,684,685, - 5,104,0,0,685,686,5,40,0,0,686,172,1,0,0,0,687,688,5,97,0,0,688,689,5, - 114,0,0,689,690,5,115,0,0,690,691,5,105,0,0,691,692,5,110,0,0,692,693, - 5,104,0,0,693,694,5,40,0,0,694,174,1,0,0,0,695,696,5,97,0,0,696,697,5, - 114,0,0,697,698,5,115,0,0,698,699,5,104,0,0,699,700,5,40,0,0,700,176,1, - 0,0,0,701,702,5,97,0,0,702,703,5,114,0,0,703,704,5,99,0,0,704,705,5,115, - 0,0,705,706,5,105,0,0,706,707,5,110,0,0,707,708,5,104,0,0,708,709,5,40, - 0,0,709,178,1,0,0,0,710,711,5,97,0,0,711,712,5,99,0,0,712,713,5,111,0, - 0,713,714,5,115,0,0,714,715,5,104,0,0,715,716,5,40,0,0,716,180,1,0,0,0, - 717,718,5,97,0,0,718,719,5,114,0,0,719,720,5,99,0,0,720,721,5,111,0,0, - 721,722,5,115,0,0,722,723,5,104,0,0,723,724,5,40,0,0,724,182,1,0,0,0,725, - 726,5,97,0,0,726,727,5,114,0,0,727,728,5,99,0,0,728,729,5,104,0,0,729, - 730,5,40,0,0,730,184,1,0,0,0,731,732,5,97,0,0,732,733,5,114,0,0,733,734, - 5,99,0,0,734,735,5,99,0,0,735,736,5,111,0,0,736,737,5,115,0,0,737,738, - 5,104,0,0,738,739,5,40,0,0,739,186,1,0,0,0,740,741,5,97,0,0,741,742,5, - 116,0,0,742,743,5,97,0,0,743,744,5,110,0,0,744,745,5,104,0,0,745,746,5, - 40,0,0,746,188,1,0,0,0,747,748,5,97,0,0,748,749,5,114,0,0,749,750,5,116, - 0,0,750,751,5,97,0,0,751,752,5,110,0,0,752,753,5,104,0,0,753,754,5,40, - 0,0,754,190,1,0,0,0,755,756,5,97,0,0,756,757,5,114,0,0,757,758,5,116,0, - 0,758,759,5,104,0,0,759,760,5,40,0,0,760,192,1,0,0,0,761,762,5,97,0,0, - 762,763,5,114,0,0,763,764,5,99,0,0,764,765,5,116,0,0,765,766,5,97,0,0, - 766,767,5,110,0,0,767,768,5,104,0,0,768,769,5,40,0,0,769,194,1,0,0,0,770, - 771,5,97,0,0,771,772,5,99,0,0,772,773,5,111,0,0,773,774,5,116,0,0,774, - 775,5,104,0,0,775,776,5,40,0,0,776,196,1,0,0,0,777,778,5,97,0,0,778,779, - 5,114,0,0,779,780,5,99,0,0,780,781,5,111,0,0,781,782,5,116,0,0,782,783, - 5,104,0,0,783,784,5,40,0,0,784,198,1,0,0,0,785,786,5,97,0,0,786,787,5, - 99,0,0,787,788,5,111,0,0,788,789,5,116,0,0,789,790,5,97,0,0,790,791,5, - 110,0,0,791,792,5,104,0,0,792,793,5,40,0,0,793,200,1,0,0,0,794,795,5,97, - 0,0,795,796,5,114,0,0,796,797,5,99,0,0,797,798,5,111,0,0,798,799,5,116, - 0,0,799,800,5,97,0,0,800,801,5,110,0,0,801,802,5,104,0,0,802,803,5,40, - 0,0,803,202,1,0,0,0,804,805,5,97,0,0,805,806,5,114,0,0,806,807,5,99,0, - 0,807,808,5,116,0,0,808,809,5,104,0,0,809,810,5,40,0,0,810,204,1,0,0,0, - 811,812,5,97,0,0,812,813,5,114,0,0,813,814,5,99,0,0,814,815,5,99,0,0,815, - 816,5,111,0,0,816,817,5,116,0,0,817,818,5,97,0,0,818,819,5,110,0,0,819, - 820,5,104,0,0,820,821,5,40,0,0,821,206,1,0,0,0,822,823,5,97,0,0,823,824, - 5,115,0,0,824,825,5,101,0,0,825,826,5,99,0,0,826,827,5,104,0,0,827,828, - 5,40,0,0,828,208,1,0,0,0,829,830,5,97,0,0,830,831,5,114,0,0,831,832,5, - 115,0,0,832,833,5,101,0,0,833,834,5,99,0,0,834,835,5,104,0,0,835,836,5, - 40,0,0,836,210,1,0,0,0,837,838,5,97,0,0,838,839,5,114,0,0,839,840,5,115, - 0,0,840,841,5,99,0,0,841,842,5,104,0,0,842,843,5,40,0,0,843,212,1,0,0, - 0,844,845,5,97,0,0,845,846,5,114,0,0,846,847,5,99,0,0,847,848,5,115,0, - 0,848,849,5,101,0,0,849,850,5,99,0,0,850,851,5,104,0,0,851,852,5,40,0, - 0,852,214,1,0,0,0,853,854,5,97,0,0,854,855,5,99,0,0,855,856,5,111,0,0, - 856,857,5,115,0,0,857,858,5,101,0,0,858,859,5,99,0,0,859,860,5,104,0,0, - 860,861,5,40,0,0,861,216,1,0,0,0,862,863,5,97,0,0,863,864,5,114,0,0,864, - 865,5,99,0,0,865,866,5,111,0,0,866,867,5,115,0,0,867,868,5,101,0,0,868, - 869,5,99,0,0,869,870,5,104,0,0,870,871,5,40,0,0,871,218,1,0,0,0,872,873, - 5,97,0,0,873,874,5,114,0,0,874,875,5,99,0,0,875,876,5,115,0,0,876,877, - 5,99,0,0,877,878,5,104,0,0,878,879,5,40,0,0,879,220,1,0,0,0,880,881,5, - 97,0,0,881,882,5,114,0,0,882,883,5,99,0,0,883,884,5,99,0,0,884,885,5,111, - 0,0,885,886,5,115,0,0,886,887,5,101,0,0,887,888,5,99,0,0,888,889,5,104, - 0,0,889,890,5,40,0,0,890,222,1,0,0,0,891,892,5,97,0,0,892,893,5,99,0,0, - 893,894,5,115,0,0,894,895,5,99,0,0,895,896,5,104,0,0,896,897,5,40,0,0, - 897,224,1,0,0,0,898,899,5,103,0,0,899,900,5,97,0,0,900,901,5,109,0,0,901, - 902,5,109,0,0,902,903,5,97,0,0,903,904,5,40,0,0,904,226,1,0,0,0,905,906, - 5,100,0,0,906,907,5,101,0,0,907,908,5,114,0,0,908,909,5,105,0,0,909,910, - 5,118,0,0,910,911,5,97,0,0,911,912,5,116,0,0,912,913,5,105,0,0,913,914, - 5,118,0,0,914,915,5,101,0,0,915,916,5,40,0,0,916,228,1,0,0,0,917,918,5, - 105,0,0,918,919,5,110,0,0,919,920,5,116,0,0,920,921,5,101,0,0,921,922, - 5,103,0,0,922,923,5,114,0,0,923,924,5,97,0,0,924,925,5,108,0,0,925,926, - 5,40,0,0,926,230,1,0,0,0,927,928,5,108,0,0,928,929,5,105,0,0,929,930,5, - 109,0,0,930,931,5,105,0,0,931,932,5,116,0,0,932,933,5,40,0,0,933,232,1, - 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1,0,0,0,1067,1065,1,0,0,0,1067,1068,1,0,0,0,1068,1070,1,0,0,0,1069,1071, + 3,259,129,0,1070,1069,1,0,0,0,1070,1071,1,0,0,0,1071,1073,1,0,0,0,1072, + 1074,5,105,0,0,1073,1072,1,0,0,0,1073,1074,1,0,0,0,1074,1077,1,0,0,0,1075, + 1077,5,105,0,0,1076,1044,1,0,0,0,1076,1062,1,0,0,0,1076,1075,1,0,0,0,1077, + 262,1,0,0,0,1078,1079,5,67,0,0,1079,1089,5,67,0,0,1080,1081,5,82,0,0,1081, + 1089,5,82,0,0,1082,1083,5,81,0,0,1083,1089,5,81,0,0,1084,1085,5,90,0,0, + 1085,1089,5,90,0,0,1086,1087,5,66,0,0,1087,1089,5,66,0,0,1088,1078,1,0, + 0,0,1088,1080,1,0,0,0,1088,1082,1,0,0,0,1088,1084,1,0,0,0,1088,1086,1, + 0,0,0,1089,264,1,0,0,0,1090,1091,5,116,0,0,1091,1092,5,114,0,0,1092,1093, + 5,117,0,0,1093,1109,5,101,0,0,1094,1095,5,84,0,0,1095,1096,5,114,0,0,1096, + 1097,5,117,0,0,1097,1109,5,101,0,0,1098,1099,5,102,0,0,1099,1100,5,97, + 0,0,1100,1101,5,108,0,0,1101,1102,5,115,0,0,1102,1109,5,101,0,0,1103,1104, + 5,70,0,0,1104,1105,5,97,0,0,1105,1106,5,108,0,0,1106,1107,5,115,0,0,1107, + 1109,5,101,0,0,1108,1090,1,0,0,0,1108,1094,1,0,0,0,1108,1098,1,0,0,0,1108, + 1103,1,0,0,0,1109,266,1,0,0,0,1110,1112,7,2,0,0,1111,1110,1,0,0,0,1112, + 1113,1,0,0,0,1113,1111,1,0,0,0,1113,1114,1,0,0,0,1114,1121,1,0,0,0,1115, + 1117,5,95,0,0,1116,1118,7,3,0,0,1117,1116,1,0,0,0,1118,1119,1,0,0,0,1119, + 1117,1,0,0,0,1119,1120,1,0,0,0,1120,1122,1,0,0,0,1121,1115,1,0,0,0,1121, + 1122,1,0,0,0,1122,268,1,0,0,0,1123,1124,5,47,0,0,1124,1125,5,47,0,0,1125, + 1129,1,0,0,0,1126,1128,8,4,0,0,1127,1126,1,0,0,0,1128,1131,1,0,0,0,1129, + 1127,1,0,0,0,1129,1130,1,0,0,0,1130,1133,1,0,0,0,1131,1129,1,0,0,0,1132, + 1134,5,13,0,0,1133,1132,1,0,0,0,1133,1134,1,0,0,0,1134,1135,1,0,0,0,1135, + 1148,5,10,0,0,1136,1137,5,47,0,0,1137,1138,5,42,0,0,1138,1142,1,0,0,0, + 1139,1141,9,0,0,0,1140,1139,1,0,0,0,1141,1144,1,0,0,0,1142,1143,1,0,0, + 0,1142,1140,1,0,0,0,1143,1145,1,0,0,0,1144,1142,1,0,0,0,1145,1146,5,42, + 0,0,1146,1148,5,47,0,0,1147,1123,1,0,0,0,1147,1136,1,0,0,0,1148,1149,1, + 0,0,0,1149,1150,6,134,0,0,1150,270,1,0,0,0,1151,1153,7,5,0,0,1152,1151, + 1,0,0,0,1153,1154,1,0,0,0,1154,1152,1,0,0,0,1154,1155,1,0,0,0,1155,1156, + 1,0,0,0,1156,1157,6,135,0,0,1157,272,1,0,0,0,24,0,1025,1030,1036,1041, + 1046,1052,1056,1059,1062,1067,1070,1073,1076,1088,1108,1113,1119,1121, + 1129,1133,1142,1147,1154,1,6,0,0 }; public static readonly ATN _ATN = diff --git a/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.interp b/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.interp index e9e87be37..af95298e9 100644 --- a/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.interp +++ b/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.interp @@ -6,6 +6,7 @@ null '+' '*' '/' +'%' 'intersect' '/\\' 'unite' @@ -264,6 +265,7 @@ null null null null +null NEWLINE NUMBER SPECIALSET @@ -400,6 +402,7 @@ T__123 T__124 T__125 T__126 +T__127 NEWLINE EXPONENT NUMBER @@ -417,4 +420,4 @@ mode names: DEFAULT_MODE atn: -[4, 0, 134, 1154, 6, -1, 2, 0, 7, 0, 2, 1, 7, 1, 2, 2, 7, 2, 2, 3, 7, 3, 2, 4, 7, 4, 2, 5, 7, 5, 2, 6, 7, 6, 2, 7, 7, 7, 2, 8, 7, 8, 2, 9, 7, 9, 2, 10, 7, 10, 2, 11, 7, 11, 2, 12, 7, 12, 2, 13, 7, 13, 2, 14, 7, 14, 2, 15, 7, 15, 2, 16, 7, 16, 2, 17, 7, 17, 2, 18, 7, 18, 2, 19, 7, 19, 2, 20, 7, 20, 2, 21, 7, 21, 2, 22, 7, 22, 2, 23, 7, 23, 2, 24, 7, 24, 2, 25, 7, 25, 2, 26, 7, 26, 2, 27, 7, 27, 2, 28, 7, 28, 2, 29, 7, 29, 2, 30, 7, 30, 2, 31, 7, 31, 2, 32, 7, 32, 2, 33, 7, 33, 2, 34, 7, 34, 2, 35, 7, 35, 2, 36, 7, 36, 2, 37, 7, 37, 2, 38, 7, 38, 2, 39, 7, 39, 2, 40, 7, 40, 2, 41, 7, 41, 2, 42, 7, 42, 2, 43, 7, 43, 2, 44, 7, 44, 2, 45, 7, 45, 2, 46, 7, 46, 2, 47, 7, 47, 2, 48, 7, 48, 2, 49, 7, 49, 2, 50, 7, 50, 2, 51, 7, 51, 2, 52, 7, 52, 2, 53, 7, 53, 2, 54, 7, 54, 2, 55, 7, 55, 2, 56, 7, 56, 2, 57, 7, 57, 2, 58, 7, 58, 2, 59, 7, 59, 2, 60, 7, 60, 2, 61, 7, 61, 2, 62, 7, 62, 2, 63, 7, 63, 2, 64, 7, 64, 2, 65, 7, 65, 2, 66, 7, 66, 2, 67, 7, 67, 2, 68, 7, 68, 2, 69, 7, 69, 2, 70, 7, 70, 2, 71, 7, 71, 2, 72, 7, 72, 2, 73, 7, 73, 2, 74, 7, 74, 2, 75, 7, 75, 2, 76, 7, 76, 2, 77, 7, 77, 2, 78, 7, 78, 2, 79, 7, 79, 2, 80, 7, 80, 2, 81, 7, 81, 2, 82, 7, 82, 2, 83, 7, 83, 2, 84, 7, 84, 2, 85, 7, 85, 2, 86, 7, 86, 2, 87, 7, 87, 2, 88, 7, 88, 2, 89, 7, 89, 2, 90, 7, 90, 2, 91, 7, 91, 2, 92, 7, 92, 2, 93, 7, 93, 2, 94, 7, 94, 2, 95, 7, 95, 2, 96, 7, 96, 2, 97, 7, 97, 2, 98, 7, 98, 2, 99, 7, 99, 2, 100, 7, 100, 2, 101, 7, 101, 2, 102, 7, 102, 2, 103, 7, 103, 2, 104, 7, 104, 2, 105, 7, 105, 2, 106, 7, 106, 2, 107, 7, 107, 2, 108, 7, 108, 2, 109, 7, 109, 2, 110, 7, 110, 2, 111, 7, 111, 2, 112, 7, 112, 2, 113, 7, 113, 2, 114, 7, 114, 2, 115, 7, 115, 2, 116, 7, 116, 2, 117, 7, 117, 2, 118, 7, 118, 2, 119, 7, 119, 2, 120, 7, 120, 2, 121, 7, 121, 2, 122, 7, 122, 2, 123, 7, 123, 2, 124, 7, 124, 2, 125, 7, 125, 2, 126, 7, 126, 2, 127, 7, 127, 2, 128, 7, 128, 2, 129, 7, 129, 2, 130, 7, 130, 2, 131, 7, 131, 2, 132, 7, 132, 2, 133, 7, 133, 2, 134, 7, 134, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 3, 1, 3, 1, 4, 1, 4, 1, 5, 1, 5, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 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1, 46, 1, 46, 1, 47, 1, 47, 1, 47, 1, 47, 1, 48, 1, 48, 1, 48, 1, 48, 1, 48, 1, 49, 1, 49, 1, 49, 1, 49, 1, 49, 1, 50, 1, 50, 1, 50, 1, 50, 1, 50, 1, 51, 1, 51, 1, 51, 1, 51, 1, 51, 1, 51, 1, 51, 1, 52, 1, 52, 1, 52, 1, 52, 1, 52, 1, 53, 1, 53, 1, 53, 1, 53, 1, 53, 1, 54, 1, 54, 1, 54, 1, 54, 1, 54, 1, 54, 1, 54, 1, 55, 1, 55, 1, 55, 1, 55, 1, 55, 1, 56, 1, 56, 1, 56, 1, 56, 1, 56, 1, 56, 1, 56, 1, 56, 1, 57, 1, 57, 1, 57, 1, 57, 1, 57, 1, 57, 1, 57, 1, 57, 1, 58, 1, 58, 1, 58, 1, 58, 1, 58, 1, 58, 1, 58, 1, 58, 1, 59, 1, 59, 1, 59, 1, 59, 1, 59, 1, 59, 1, 59, 1, 59, 1, 59, 1, 59, 1, 60, 1, 60, 1, 60, 1, 60, 1, 60, 1, 60, 1, 60, 1, 60, 1, 61, 1, 61, 1, 61, 1, 61, 1, 61, 1, 61, 1, 61, 1, 61, 1, 61, 1, 61, 1, 62, 1, 62, 1, 62, 1, 62, 1, 62, 1, 62, 1, 62, 1, 62, 1, 63, 1, 63, 1, 63, 1, 63, 1, 63, 1, 63, 1, 64, 1, 64, 1, 64, 1, 64, 1, 64, 1, 64, 1, 65, 1, 65, 1, 65, 1, 65, 1, 65, 1, 65, 1, 66, 1, 66, 1, 66, 1, 66, 1, 66, 1, 66, 1, 67, 1, 67, 1, 67, 1, 67, 1, 67, 1, 67, 1, 67, 1, 67, 1, 68, 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57, 0, 1044, 1043, 1, 0, 0, 0, 1045, 1046, 1, 0, 0, 0, 1046, 1044, 1, 0, 0, 0, 1046, 1047, 1, 0, 0, 0, 1047, 1048, 1, 0, 0, 0, 1048, 1052, 5, 46, 0, 0, 1049, 1051, 2, 48, 57, 0, 1050, 1049, 1, 0, 0, 0, 1051, 1054, 1, 0, 0, 0, 1052, 1050, 1, 0, 0, 0, 1052, 1053, 1, 0, 0, 0, 1053, 1056, 1, 0, 0, 0, 1054, 1052, 1, 0, 0, 0, 1055, 1057, 3, 259, 129, 0, 1056, 1055, 1, 0, 0, 0, 1056, 1057, 1, 0, 0, 0, 1057, 1059, 1, 0, 0, 0, 1058, 1060, 5, 105, 0, 0, 1059, 1058, 1, 0, 0, 0, 1059, 1060, 1, 0, 0, 0, 1060, 1077, 1, 0, 0, 0, 1061, 1063, 5, 46, 0, 0, 1062, 1061, 1, 0, 0, 0, 1062, 1063, 1, 0, 0, 0, 1063, 1065, 1, 0, 0, 0, 1064, 1066, 2, 48, 57, 0, 1065, 1064, 1, 0, 0, 0, 1066, 1067, 1, 0, 0, 0, 1067, 1065, 1, 0, 0, 0, 1067, 1068, 1, 0, 0, 0, 1068, 1070, 1, 0, 0, 0, 1069, 1071, 3, 259, 129, 0, 1070, 1069, 1, 0, 0, 0, 1070, 1071, 1, 0, 0, 0, 1071, 1073, 1, 0, 0, 0, 1072, 1074, 5, 105, 0, 0, 1073, 1072, 1, 0, 0, 0, 1073, 1074, 1, 0, 0, 0, 1074, 1077, 1, 0, 0, 0, 1075, 1077, 5, 105, 0, 0, 1076, 1044, 1, 0, 0, 0, 1076, 1062, 1, 0, 0, 0, 1076, 1075, 1, 0, 0, 0, 1077, 262, 1, 0, 0, 0, 1078, 1079, 5, 67, 0, 0, 1079, 1089, 5, 67, 0, 0, 1080, 1081, 5, 82, 0, 0, 1081, 1089, 5, 82, 0, 0, 1082, 1083, 5, 81, 0, 0, 1083, 1089, 5, 81, 0, 0, 1084, 1085, 5, 90, 0, 0, 1085, 1089, 5, 90, 0, 0, 1086, 1087, 5, 66, 0, 0, 1087, 1089, 5, 66, 0, 0, 1088, 1078, 1, 0, 0, 0, 1088, 1080, 1, 0, 0, 0, 1088, 1082, 1, 0, 0, 0, 1088, 1084, 1, 0, 0, 0, 1088, 1086, 1, 0, 0, 0, 1089, 264, 1, 0, 0, 0, 1090, 1091, 5, 116, 0, 0, 1091, 1092, 5, 114, 0, 0, 1092, 1093, 5, 117, 0, 0, 1093, 1109, 5, 101, 0, 0, 1094, 1095, 5, 84, 0, 0, 1095, 1096, 5, 114, 0, 0, 1096, 1097, 5, 117, 0, 0, 1097, 1109, 5, 101, 0, 0, 1098, 1099, 5, 102, 0, 0, 1099, 1100, 5, 97, 0, 0, 1100, 1101, 5, 108, 0, 0, 1101, 1102, 5, 115, 0, 0, 1102, 1109, 5, 101, 0, 0, 1103, 1104, 5, 70, 0, 0, 1104, 1105, 5, 97, 0, 0, 1105, 1106, 5, 108, 0, 0, 1106, 1107, 5, 115, 0, 0, 1107, 1109, 5, 101, 0, 0, 1108, 1090, 1, 0, 0, 0, 1108, 1094, 1, 0, 0, 0, 1108, 1098, 1, 0, 0, 0, 1108, 1103, 1, 0, 0, 0, 1109, 266, 1, 0, 0, 0, 1110, 1112, 7, 2, 0, 0, 1111, 1110, 1, 0, 0, 0, 1112, 1113, 1, 0, 0, 0, 1113, 1111, 1, 0, 0, 0, 1113, 1114, 1, 0, 0, 0, 1114, 1121, 1, 0, 0, 0, 1115, 1117, 5, 95, 0, 0, 1116, 1118, 7, 3, 0, 0, 1117, 1116, 1, 0, 0, 0, 1118, 1119, 1, 0, 0, 0, 1119, 1117, 1, 0, 0, 0, 1119, 1120, 1, 0, 0, 0, 1120, 1122, 1, 0, 0, 0, 1121, 1115, 1, 0, 0, 0, 1121, 1122, 1, 0, 0, 0, 1122, 268, 1, 0, 0, 0, 1123, 1124, 5, 47, 0, 0, 1124, 1125, 5, 47, 0, 0, 1125, 1129, 1, 0, 0, 0, 1126, 1128, 8, 4, 0, 0, 1127, 1126, 1, 0, 0, 0, 1128, 1131, 1, 0, 0, 0, 1129, 1127, 1, 0, 0, 0, 1129, 1130, 1, 0, 0, 0, 1130, 1133, 1, 0, 0, 0, 1131, 1129, 1, 0, 0, 0, 1132, 1134, 5, 13, 0, 0, 1133, 1132, 1, 0, 0, 0, 1133, 1134, 1, 0, 0, 0, 1134, 1135, 1, 0, 0, 0, 1135, 1148, 5, 10, 0, 0, 1136, 1137, 5, 47, 0, 0, 1137, 1138, 5, 42, 0, 0, 1138, 1142, 1, 0, 0, 0, 1139, 1141, 9, 0, 0, 0, 1140, 1139, 1, 0, 0, 0, 1141, 1144, 1, 0, 0, 0, 1142, 1143, 1, 0, 0, 0, 1142, 1140, 1, 0, 0, 0, 1143, 1145, 1, 0, 0, 0, 1144, 1142, 1, 0, 0, 0, 1145, 1146, 5, 42, 0, 0, 1146, 1148, 5, 47, 0, 0, 1147, 1123, 1, 0, 0, 0, 1147, 1136, 1, 0, 0, 0, 1148, 1149, 1, 0, 0, 0, 1149, 1150, 6, 134, 0, 0, 1150, 270, 1, 0, 0, 0, 1151, 1153, 7, 5, 0, 0, 1152, 1151, 1, 0, 0, 0, 1153, 1154, 1, 0, 0, 0, 1154, 1152, 1, 0, 0, 0, 1154, 1155, 1, 0, 0, 0, 1155, 1156, 1, 0, 0, 0, 1156, 1157, 6, 135, 0, 0, 1157, 272, 1, 0, 0, 0, 24, 0, 1025, 1030, 1036, 1041, 1046, 1052, 1056, 1059, 1062, 1067, 1070, 1073, 1076, 1088, 1108, 1113, 1119, 1121, 1129, 1133, 1142, 1147, 1154, 1, 6, 0, 0] \ No newline at end of file diff --git a/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.tokens b/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.tokens index 4c4ddc4ff..2ab547d52 100644 --- a/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.tokens +++ b/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.tokens @@ -125,137 +125,139 @@ T__123=124 T__124=125 T__125=126 T__126=127 -NEWLINE=128 -NUMBER=129 -SPECIALSET=130 -BOOLEAN=131 -VARIABLE=132 -COMMENT=133 -WS=134 +T__127=128 +NEWLINE=129 +NUMBER=130 +SPECIALSET=131 +BOOLEAN=132 +VARIABLE=133 +COMMENT=134 +WS=135 '!'=1 '^'=2 '-'=3 '+'=4 '*'=5 '/'=6 -'intersect'=7 -'/\\'=8 -'unite'=9 -'\\/'=10 -'setsubtract'=11 -'\\'=12 -'in'=13 -'>='=14 -'<='=15 -'>'=16 -'<'=17 -'='=18 -'<>'=19 -'not'=20 -'and'=21 -'&'=22 -'xor'=23 -'or'=24 -'|'=25 -'implies'=26 -'->'=27 -'provided'=28 -','=29 -';'=30 -':'=31 -'+oo'=32 -'-oo'=33 -'(|'=34 -'|)'=35 -'['=36 -']T'=37 -']'=38 -'('=39 -')'=40 -'{'=41 -'}'=42 -'log('=43 -'pow('=44 -'sqrt('=45 -'cbrt('=46 -'sqr('=47 -'ln('=48 -'sin('=49 -'cos('=50 -'tan('=51 -'cotan('=52 -'cot('=53 -'sec('=54 -'cosec('=55 -'csc('=56 -'arcsin('=57 -'arccos('=58 -'arctan('=59 -'arccotan('=60 -'arcsec('=61 -'arccosec('=62 -'arccsc('=63 -'acsc('=64 -'asin('=65 -'acos('=66 -'atan('=67 -'acotan('=68 -'asec('=69 -'acosec('=70 -'acot('=71 -'arccot('=72 -'sinh('=73 -'sh('=74 -'cosh('=75 -'ch('=76 -'tanh('=77 -'th('=78 -'cotanh('=79 -'coth('=80 -'cth('=81 -'sech('=82 -'sch('=83 -'cosech('=84 -'csch('=85 -'asinh('=86 -'arsinh('=87 -'arsh('=88 -'arcsinh('=89 -'acosh('=90 -'arcosh('=91 -'arch('=92 -'arccosh('=93 -'atanh('=94 -'artanh('=95 -'arth('=96 -'arctanh('=97 -'acoth('=98 -'arcoth('=99 -'acotanh('=100 -'arcotanh('=101 -'arcth('=102 -'arccotanh('=103 -'asech('=104 -'arsech('=105 -'arsch('=106 -'arcsech('=107 -'acosech('=108 -'arcosech('=109 -'arcsch('=110 -'arccosech('=111 -'acsch('=112 -'gamma('=113 -'derivative('=114 -'integral('=115 -'limit('=116 -'limitleft('=117 -'limitright('=118 -'signum('=119 -'sgn('=120 -'sign('=121 -'abs('=122 -'phi('=123 -'domain('=124 -'piecewise('=125 -'apply('=126 -'lambda('=127 +'%'=7 +'intersect'=8 +'/\\'=9 +'unite'=10 +'\\/'=11 +'setsubtract'=12 +'\\'=13 +'in'=14 +'>='=15 +'<='=16 +'>'=17 +'<'=18 +'='=19 +'<>'=20 +'not'=21 +'and'=22 +'&'=23 +'xor'=24 +'or'=25 +'|'=26 +'implies'=27 +'->'=28 +'provided'=29 +','=30 +';'=31 +':'=32 +'+oo'=33 +'-oo'=34 +'(|'=35 +'|)'=36 +'['=37 +']T'=38 +']'=39 +'('=40 +')'=41 +'{'=42 +'}'=43 +'log('=44 +'pow('=45 +'sqrt('=46 +'cbrt('=47 +'sqr('=48 +'ln('=49 +'sin('=50 +'cos('=51 +'tan('=52 +'cotan('=53 +'cot('=54 +'sec('=55 +'cosec('=56 +'csc('=57 +'arcsin('=58 +'arccos('=59 +'arctan('=60 +'arccotan('=61 +'arcsec('=62 +'arccosec('=63 +'arccsc('=64 +'acsc('=65 +'asin('=66 +'acos('=67 +'atan('=68 +'acotan('=69 +'asec('=70 +'acosec('=71 +'acot('=72 +'arccot('=73 +'sinh('=74 +'sh('=75 +'cosh('=76 +'ch('=77 +'tanh('=78 +'th('=79 +'cotanh('=80 +'coth('=81 +'cth('=82 +'sech('=83 +'sch('=84 +'cosech('=85 +'csch('=86 +'asinh('=87 +'arsinh('=88 +'arsh('=89 +'arcsinh('=90 +'acosh('=91 +'arcosh('=92 +'arch('=93 +'arccosh('=94 +'atanh('=95 +'artanh('=96 +'arth('=97 +'arctanh('=98 +'acoth('=99 +'arcoth('=100 +'acotanh('=101 +'arcotanh('=102 +'arcth('=103 +'arccotanh('=104 +'asech('=105 +'arsech('=106 +'arsch('=107 +'arcsech('=108 +'acosech('=109 +'arcosech('=110 +'arcsch('=111 +'arccosech('=112 +'acsch('=113 +'gamma('=114 +'derivative('=115 +'integral('=116 +'limit('=117 +'limitleft('=118 +'limitright('=119 +'signum('=120 +'sgn('=121 +'sign('=122 +'abs('=123 +'phi('=124 +'domain('=125 +'piecewise('=126 +'apply('=127 +'lambda('=128 diff --git a/Sources/AngouriMath/Core/Antlr/AngouriMathParser.cs b/Sources/AngouriMath/Core/Antlr/AngouriMathParser.cs index 86cf2f309..a85d8270a 100644 --- a/Sources/AngouriMath/Core/Antlr/AngouriMathParser.cs +++ b/Sources/AngouriMath/Core/Antlr/AngouriMathParser.cs @@ -64,8 +64,8 @@ public const int T__107=108, T__108=109, T__109=110, T__110=111, T__111=112, T__112=113, T__113=114, T__114=115, T__115=116, T__116=117, T__117=118, T__118=119, T__119=120, T__120=121, T__121=122, T__122=123, T__123=124, T__124=125, - T__125=126, T__126=127, NEWLINE=128, NUMBER=129, SPECIALSET=130, BOOLEAN=131, - VARIABLE=132, COMMENT=133, WS=134; + T__125=126, T__126=127, T__127=128, NEWLINE=129, NUMBER=130, SPECIALSET=131, + BOOLEAN=132, VARIABLE=133, COMMENT=134, WS=135; public const int RULE_factorial_expression = 0, RULE_power_list = 1, RULE_power_expression = 2, RULE_unary_expression = 3, RULE_mult_expression = 4, RULE_sum_expression = 5, @@ -85,25 +85,25 @@ public const int }; private static readonly string[] _LiteralNames = { - null, "'!'", "'^'", "'-'", "'+'", "'*'", "'/'", "'intersect'", "'/\\'", - "'unite'", "'\\/'", "'setsubtract'", "'\\'", "'in'", "'>='", "'<='", "'>'", - "'<'", "'='", "'<>'", "'not'", "'and'", "'&'", "'xor'", "'or'", "'|'", - "'implies'", "'->'", "'provided'", "','", "';'", "':'", "'+oo'", "'-oo'", - "'(|'", "'|)'", "'['", "']T'", "']'", "'('", "')'", "'{'", "'}'", "'log('", - "'pow('", "'sqrt('", "'cbrt('", "'sqr('", "'ln('", "'sin('", "'cos('", - "'tan('", "'cotan('", "'cot('", "'sec('", "'cosec('", "'csc('", "'arcsin('", - "'arccos('", "'arctan('", "'arccotan('", "'arcsec('", "'arccosec('", "'arccsc('", - "'acsc('", "'asin('", "'acos('", "'atan('", "'acotan('", "'asec('", "'acosec('", - "'acot('", "'arccot('", "'sinh('", "'sh('", "'cosh('", "'ch('", "'tanh('", - "'th('", "'cotanh('", "'coth('", "'cth('", "'sech('", "'sch('", "'cosech('", - "'csch('", "'asinh('", "'arsinh('", "'arsh('", "'arcsinh('", "'acosh('", - "'arcosh('", "'arch('", "'arccosh('", "'atanh('", "'artanh('", "'arth('", - "'arctanh('", "'acoth('", "'arcoth('", "'acotanh('", "'arcotanh('", "'arcth('", - "'arccotanh('", "'asech('", "'arsech('", "'arsch('", "'arcsech('", "'acosech('", - "'arcosech('", "'arcsch('", "'arccosech('", "'acsch('", "'gamma('", "'derivative('", - "'integral('", "'limit('", "'limitleft('", "'limitright('", "'signum('", - "'sgn('", "'sign('", "'abs('", "'phi('", "'domain('", "'piecewise('", - "'apply('", "'lambda('" + null, "'!'", "'^'", "'-'", "'+'", "'*'", "'/'", "'%'", "'intersect'", + "'/\\'", "'unite'", "'\\/'", "'setsubtract'", "'\\'", "'in'", "'>='", + "'<='", "'>'", "'<'", "'='", "'<>'", "'not'", "'and'", "'&'", "'xor'", + "'or'", "'|'", "'implies'", "'->'", "'provided'", "','", "';'", "':'", + "'+oo'", "'-oo'", "'(|'", "'|)'", "'['", "']T'", "']'", "'('", "')'", + "'{'", "'}'", "'log('", "'pow('", "'sqrt('", "'cbrt('", "'sqr('", "'ln('", + "'sin('", "'cos('", "'tan('", "'cotan('", "'cot('", "'sec('", "'cosec('", + "'csc('", "'arcsin('", "'arccos('", "'arctan('", "'arccotan('", "'arcsec('", + "'arccosec('", "'arccsc('", "'acsc('", "'asin('", "'acos('", "'atan('", + "'acotan('", "'asec('", "'acosec('", "'acot('", "'arccot('", "'sinh('", + "'sh('", "'cosh('", "'ch('", "'tanh('", "'th('", "'cotanh('", "'coth('", + "'cth('", "'sech('", "'sch('", "'cosech('", "'csch('", "'asinh('", "'arsinh('", + "'arsh('", "'arcsinh('", "'acosh('", "'arcosh('", "'arch('", "'arccosh('", + "'atanh('", "'artanh('", "'arth('", "'arctanh('", "'acoth('", "'arcoth('", + "'acotanh('", "'arcotanh('", "'arcth('", "'arccotanh('", "'asech('", "'arsech('", + "'arsch('", "'arcsech('", "'acosech('", "'arcosech('", "'arcsch('", "'arccosech('", + "'acsch('", "'gamma('", "'derivative('", "'integral('", "'limit('", "'limitleft('", + "'limitright('", "'signum('", "'sgn('", "'sign('", "'abs('", "'phi('", + "'domain('", "'piecewise('", "'apply('", "'lambda('" }; private static readonly string[] _SymbolicNames = { null, null, null, null, null, null, null, null, null, null, null, null, @@ -116,8 +116,8 @@ public const int null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, - null, null, null, null, null, null, null, null, "NEWLINE", "NUMBER", "SPECIALSET", - "BOOLEAN", "VARIABLE", "COMMENT", "WS" + null, null, null, null, null, null, null, null, null, "NEWLINE", "NUMBER", + "SPECIALSET", "BOOLEAN", "VARIABLE", "COMMENT", "WS" }; public static readonly IVocabulary DefaultVocabulary = new Vocabulary(_LiteralNames, _SymbolicNames); @@ -549,12 +549,12 @@ public Mult_expressionContext mult_expression() { State = 103; _localctx.u1 = unary_expression(); _localctx.value = _localctx.u1.value; - State = 115; + State = 119; ErrorHandler.Sync(this); _la = TokenStream.LA(1); - while (_la==T__4 || _la==T__5) { + while ((((_la) & ~0x3f) == 0 && ((1L << _la) & 224L) != 0)) { { - State = 113; + State = 117; ErrorHandler.Sync(this); switch (TokenStream.LA(1)) { case T__4: @@ -575,11 +575,20 @@ public Mult_expressionContext mult_expression() { _localctx.value = _localctx.value / _localctx.u2.value; } break; + case T__6: + { + State = 113; + Match(T__6); + State = 114; + _localctx.u2 = unary_expression(); + _localctx.value = _localctx.value % _localctx.u2.value; + } + break; default: throw new NoViableAltException(this); } } - State = 117; + State = 121; ErrorHandler.Sync(this); _la = TokenStream.LA(1); } @@ -631,31 +640,31 @@ public Sum_expressionContext sum_expression() { try { EnterOuterAlt(_localctx, 1); { - State = 118; + State = 122; _localctx.m1 = mult_expression(); _localctx.value = _localctx.m1.value; - State = 130; + State = 134; ErrorHandler.Sync(this); _la = TokenStream.LA(1); while (_la==T__2 || _la==T__3) { { - State = 128; + State = 132; ErrorHandler.Sync(this); switch (TokenStream.LA(1)) { case T__3: { - State = 120; + State = 124; Match(T__3); - State = 121; + State = 125; _localctx.m2 = mult_expression(); _localctx.value = _localctx.value + _localctx.m2.value; } break; case T__2: { - State = 124; + State = 128; Match(T__2); - State = 125; + State = 129; _localctx.m2 = mult_expression(); _localctx.value = _localctx.value - _localctx.m2.value; } @@ -664,7 +673,7 @@ public Sum_expressionContext sum_expression() { throw new NoViableAltException(this); } } - State = 132; + State = 136; ErrorHandler.Sync(this); _la = TokenStream.LA(1); } @@ -716,31 +725,31 @@ public Set_operator_intersectionContext set_operator_intersection() { try { EnterOuterAlt(_localctx, 1); { - State = 133; + State = 137; _localctx.left = sum_expression(); _localctx.value = _localctx.left.value; - State = 145; + State = 149; ErrorHandler.Sync(this); _la = TokenStream.LA(1); - while (_la==T__6 || _la==T__7) { + while (_la==T__7 || _la==T__8) { { - State = 143; + State = 147; ErrorHandler.Sync(this); switch (TokenStream.LA(1)) { - case T__6: + case T__7: { - State = 135; - Match(T__6); - State = 136; + State = 139; + Match(T__7); + State = 140; _localctx.right = sum_expression(); _localctx.value = _localctx.value.Intersect(_localctx.right.value); } break; - case T__7: + case T__8: { - State = 139; - Match(T__7); - State = 140; + State = 143; + Match(T__8); + State = 144; _localctx.right = sum_expression(); _localctx.value = _localctx.value.Intersect(_localctx.right.value); } @@ -749,7 +758,7 @@ public Set_operator_intersectionContext set_operator_intersection() { throw new NoViableAltException(this); } } - State = 147; + State = 151; ErrorHandler.Sync(this); _la = TokenStream.LA(1); } @@ -801,26 +810,17 @@ public Set_operator_union_setsubtractionContext set_operator_union_setsubtractio try { EnterOuterAlt(_localctx, 1); { - State = 148; + State = 152; _localctx.left = set_operator_intersection(); _localctx.value = _localctx.left.value; - State = 168; + State = 172; ErrorHandler.Sync(this); _la = TokenStream.LA(1); - while ((((_la) & ~0x3f) == 0 && ((1L << _la) & 7680L) != 0)) { + while ((((_la) & ~0x3f) == 0 && ((1L << _la) & 15360L) != 0)) { { - State = 166; + State = 170; ErrorHandler.Sync(this); switch (TokenStream.LA(1)) { - case T__8: - { - State = 150; - Match(T__8); - State = 151; - _localctx.right = set_operator_intersection(); - _localctx.value = _localctx.value.Unite(_localctx.right.value); - } - break; case T__9: { State = 154; @@ -836,7 +836,7 @@ public Set_operator_union_setsubtractionContext set_operator_union_setsubtractio Match(T__10); State = 159; _localctx.right = set_operator_intersection(); - _localctx.value = _localctx.value.SetSubtract(_localctx.right.value); + _localctx.value = _localctx.value.Unite(_localctx.right.value); } break; case T__11: @@ -848,11 +848,20 @@ public Set_operator_union_setsubtractionContext set_operator_union_setsubtractio _localctx.value = _localctx.value.SetSubtract(_localctx.right.value); } break; + case T__12: + { + State = 166; + Match(T__12); + State = 167; + _localctx.right = set_operator_intersection(); + _localctx.value = _localctx.value.SetSubtract(_localctx.right.value); + } + break; default: throw new NoViableAltException(this); } } - State = 170; + State = 174; ErrorHandler.Sync(this); _la = TokenStream.LA(1); } @@ -904,23 +913,23 @@ public In_operatorContext in_operator() { try { EnterOuterAlt(_localctx, 1); { - State = 171; + State = 175; _localctx.m1 = set_operator_union_setsubtraction(); _localctx.value = _localctx.m1.value; - State = 179; + State = 183; ErrorHandler.Sync(this); _la = TokenStream.LA(1); - while (_la==T__12) { + while (_la==T__13) { { { - State = 173; - Match(T__12); - State = 174; + State = 177; + Match(T__13); + State = 178; _localctx.m2 = set_operator_union_setsubtraction(); _localctx.value = _localctx.value.In(_localctx.m2.value); } } - State = 181; + State = 185; ErrorHandler.Sync(this); _la = TokenStream.LA(1); } @@ -973,69 +982,69 @@ public Comparison_expressionContext comparison_expression() { try { EnterOuterAlt(_localctx, 1); { - State = 182; + State = 186; _localctx.m1 = in_operator(); terms.Add(_localctx.m1.value); - State = 203; + State = 207; ErrorHandler.Sync(this); _la = TokenStream.LA(1); - while ((((_la) & ~0x3f) == 0 && ((1L << _la) & 1032192L) != 0)) { + while ((((_la) & ~0x3f) == 0 && ((1L << _la) & 2064384L) != 0)) { { { - State = 196; + State = 200; ErrorHandler.Sync(this); switch (TokenStream.LA(1)) { - case T__13: - { - State = 184; - Match(T__13); - operators.Add(">="); - } - break; case T__14: { - State = 186; + State = 188; Match(T__14); - operators.Add("<="); + operators.Add(">="); } break; case T__15: { - State = 188; + State = 190; Match(T__15); - operators.Add(">"); + operators.Add("<="); } break; case T__16: { - State = 190; + State = 192; Match(T__16); - operators.Add("<"); + operators.Add(">"); } break; case T__17: { - State = 192; + State = 194; Match(T__17); - operators.Add("="); + operators.Add("<"); } break; case T__18: { - State = 194; + State = 196; Match(T__18); + operators.Add("="); + } + break; + case T__19: + { + State = 198; + Match(T__19); operators.Add("<>"); } break; default: throw new NoViableAltException(this); } - State = 198; + State = 202; _localctx.m2 = in_operator(); terms.Add(_localctx.m2.value); } } - State = 205; + State = 209; ErrorHandler.Sync(this); _la = TokenStream.LA(1); } @@ -1104,15 +1113,15 @@ public Negate_expressionContext negate_expression() { Negate_expressionContext _localctx = new Negate_expressionContext(Context, State); EnterRule(_localctx, 20, RULE_negate_expression); try { - State = 219; + State = 223; ErrorHandler.Sync(this); switch ( Interpreter.AdaptivePredict(TokenStream,19,Context) ) { case 1: EnterOuterAlt(_localctx, 1); { - State = 208; - Match(T__19); - State = 209; + State = 212; + Match(T__20); + State = 213; _localctx.op = comparison_expression(); _localctx.value = !_localctx.op.value; } @@ -1120,9 +1129,9 @@ public Negate_expressionContext negate_expression() { case 2: EnterOuterAlt(_localctx, 2); { - State = 212; - Match(T__19); - State = 213; + State = 216; + Match(T__20); + State = 217; _localctx.opn = negate_expression(); _localctx.value = !_localctx.opn.value; } @@ -1130,7 +1139,7 @@ public Negate_expressionContext negate_expression() { case 3: EnterOuterAlt(_localctx, 3); { - State = 216; + State = 220; _localctx.op = comparison_expression(); _localctx.value = _localctx.op.value; } @@ -1183,31 +1192,31 @@ public And_expressionContext and_expression() { try { EnterOuterAlt(_localctx, 1); { - State = 221; + State = 225; _localctx.m1 = negate_expression(); _localctx.value = _localctx.m1.value; - State = 233; + State = 237; ErrorHandler.Sync(this); _la = TokenStream.LA(1); - while (_la==T__20 || _la==T__21) { + while (_la==T__21 || _la==T__22) { { - State = 231; + State = 235; ErrorHandler.Sync(this); switch (TokenStream.LA(1)) { - case T__20: + case T__21: { - State = 223; - Match(T__20); - State = 224; + State = 227; + Match(T__21); + State = 228; _localctx.m2 = negate_expression(); _localctx.value = _localctx.value & _localctx.m2.value; } break; - case T__21: + case T__22: { - State = 227; - Match(T__21); - State = 228; + State = 231; + Match(T__22); + State = 232; _localctx.m2 = negate_expression(); _localctx.value = _localctx.value & _localctx.m2.value; } @@ -1216,7 +1225,7 @@ public And_expressionContext and_expression() { throw new NoViableAltException(this); } } - State = 235; + State = 239; ErrorHandler.Sync(this); _la = TokenStream.LA(1); } @@ -1268,23 +1277,23 @@ public Xor_expressionContext xor_expression() { try { EnterOuterAlt(_localctx, 1); { - State = 236; + State = 240; _localctx.m1 = and_expression(); _localctx.value = _localctx.m1.value; - State = 244; + State = 248; ErrorHandler.Sync(this); _la = TokenStream.LA(1); - while (_la==T__22) { + while (_la==T__23) { { { - State = 238; - Match(T__22); - State = 239; + State = 242; + Match(T__23); + State = 243; _localctx.m2 = and_expression(); _localctx.value = _localctx.value ^ _localctx.m2.value; } } - State = 246; + State = 250; ErrorHandler.Sync(this); _la = TokenStream.LA(1); } @@ -1336,31 +1345,31 @@ public Or_expressionContext or_expression() { try { EnterOuterAlt(_localctx, 1); { - State = 247; + State = 251; _localctx.m1 = xor_expression(); _localctx.value = _localctx.m1.value; - State = 259; + State = 263; ErrorHandler.Sync(this); _la = TokenStream.LA(1); - while (_la==T__23 || _la==T__24) { + while (_la==T__24 || _la==T__25) { { - State = 257; + State = 261; ErrorHandler.Sync(this); switch (TokenStream.LA(1)) { - case T__23: + case T__24: { - State = 249; - Match(T__23); - State = 250; + State = 253; + Match(T__24); + State = 254; _localctx.m2 = xor_expression(); _localctx.value = _localctx.value | _localctx.m2.value; } break; - case T__24: + case T__25: { - State = 253; - Match(T__24); - State = 254; + State = 257; + Match(T__25); + State = 258; _localctx.m2 = xor_expression(); _localctx.value = _localctx.value | _localctx.m2.value; } @@ -1369,7 +1378,7 @@ public Or_expressionContext or_expression() { throw new NoViableAltException(this); } } - State = 261; + State = 265; ErrorHandler.Sync(this); _la = TokenStream.LA(1); } @@ -1421,31 +1430,31 @@ public Implies_expressionContext implies_expression() { try { EnterOuterAlt(_localctx, 1); { - State = 262; + State = 266; _localctx.m1 = or_expression(); _localctx.value = _localctx.m1.value; - State = 274; + State = 278; ErrorHandler.Sync(this); _la = TokenStream.LA(1); - while (_la==T__25 || _la==T__26) { + while (_la==T__26 || _la==T__27) { { - State = 272; + State = 276; ErrorHandler.Sync(this); switch (TokenStream.LA(1)) { - case T__25: + case T__26: { - State = 264; - Match(T__25); - State = 265; + State = 268; + Match(T__26); + State = 269; _localctx.m2 = or_expression(); _localctx.value = _localctx.value.Implies(_localctx.m2.value); } break; - case T__26: + case T__27: { - State = 268; - Match(T__26); - State = 269; + State = 272; + Match(T__27); + State = 273; _localctx.m2 = or_expression(); _localctx.value = _localctx.value.Implies(_localctx.m2.value); } @@ -1454,7 +1463,7 @@ public Implies_expressionContext implies_expression() { throw new NoViableAltException(this); } } - State = 276; + State = 280; ErrorHandler.Sync(this); _la = TokenStream.LA(1); } @@ -1506,17 +1515,17 @@ public Provided_expressionContext provided_expression() { try { EnterOuterAlt(_localctx, 1); { - State = 277; + State = 281; _localctx.expr = implies_expression(); _localctx.value = _localctx.expr.value; - State = 283; + State = 287; ErrorHandler.Sync(this); _la = TokenStream.LA(1); - if (_la==T__27) { + if (_la==T__28) { { - State = 279; - Match(T__27); - State = 280; + State = 283; + Match(T__28); + State = 284; _localctx.pred = provided_expression(); _localctx.value = _localctx.value.Provided(_localctx.pred.value); } @@ -1565,7 +1574,7 @@ public ExpressionContext expression() { try { EnterOuterAlt(_localctx, 1); { - State = 285; + State = 289; _localctx.s = provided_expression(); _localctx.value = _localctx.s.value; } @@ -1616,28 +1625,28 @@ public Function_argumentsContext function_arguments() { try { EnterOuterAlt(_localctx, 1); { - State = 299; + State = 303; ErrorHandler.Sync(this); _la = TokenStream.LA(1); - if ((((_la) & ~0x3f) == 0 && ((1L << _la) & -5948528656360L) != 0) || ((((_la - 64)) & ~0x3f) == 0 && ((1L << (_la - 64)) & -1L) != 0) || ((((_la - 129)) & ~0x3f) == 0 && ((1L << (_la - 129)) & 15L) != 0)) { + if ((((_la) & ~0x3f) == 0 && ((1L << _la) & -11897057312744L) != 0) || ((((_la - 64)) & ~0x3f) == 0 && ((1L << (_la - 64)) & -1L) != 0) || ((((_la - 128)) & ~0x3f) == 0 && ((1L << (_la - 128)) & 61L) != 0)) { { - State = 288; + State = 292; _localctx.e = expression(); _localctx.list.Add(_localctx.e.value); - State = 296; + State = 300; ErrorHandler.Sync(this); _la = TokenStream.LA(1); - while (_la==T__28) { + while (_la==T__29) { { { - State = 290; - Match(T__28); - State = 291; + State = 294; + Match(T__29); + State = 295; _localctx.e = expression(); _localctx.list.Add(_localctx.e.value); } } - State = 298; + State = 302; ErrorHandler.Sync(this); _la = TokenStream.LA(1); } @@ -1691,12 +1700,12 @@ public Interval_argumentsContext interval_arguments() { try { EnterOuterAlt(_localctx, 1); { - State = 301; + State = 305; _localctx.from = expression(); _localctx.couple.from = _localctx.from.value; - State = 303; - Match(T__29); - State = 304; + State = 307; + Match(T__30); + State = 308; _localctx.to = expression(); _localctx.couple.to = _localctx.to.value; } @@ -1746,12 +1755,12 @@ public Cset_argumentsContext cset_arguments() { try { EnterOuterAlt(_localctx, 1); { - State = 307; + State = 311; _localctx.variable = expression(); _localctx.couple.variable = _localctx.variable.value; - State = 309; - Match(T__30); - State = 310; + State = 313; + Match(T__31); + State = 314; _localctx.predicate = expression(); _localctx.couple.predicate = _localctx.predicate.value; } @@ -1816,29 +1825,29 @@ public AtomContext atom() { AtomContext _localctx = new AtomContext(Context, State); EnterRule(_localctx, 40, RULE_atom); try { - State = 800; + State = 804; ErrorHandler.Sync(this); switch ( Interpreter.AdaptivePredict(TokenStream,30,Context) ) { case 1: EnterOuterAlt(_localctx, 1); { - State = 313; - Match(T__31); + State = 317; + Match(T__32); _localctx.value = Entity.Number.Real.PositiveInfinity; } break; case 2: EnterOuterAlt(_localctx, 2); { - State = 315; - Match(T__32); + State = 319; + Match(T__33); _localctx.value = Entity.Number.Real.NegativeInfinity; } break; case 3: EnterOuterAlt(_localctx, 3); { - State = 317; + State = 321; _localctx._NUMBER = Match(NUMBER); _localctx.value = Entity.Number.Complex.Parse((_localctx._NUMBER!=null?_localctx._NUMBER.Text:null)); } @@ -1846,7 +1855,7 @@ public AtomContext atom() { case 4: EnterOuterAlt(_localctx, 4); { - State = 319; + State = 323; _localctx._BOOLEAN = Match(BOOLEAN); _localctx.value = Entity.Boolean.Parse((_localctx._BOOLEAN!=null?_localctx._BOOLEAN.Text:null)); } @@ -1854,7 +1863,7 @@ public AtomContext atom() { case 5: EnterOuterAlt(_localctx, 5); { - State = 321; + State = 325; _localctx._SPECIALSET = Match(SPECIALSET); _localctx.value = Entity.Set.SpecialSet.Create((_localctx._SPECIALSET!=null?_localctx._SPECIALSET.Text:null)); } @@ -1862,7 +1871,7 @@ public AtomContext atom() { case 6: EnterOuterAlt(_localctx, 6); { - State = 323; + State = 327; _localctx._VARIABLE = Match(VARIABLE); _localctx.value = Entity.Variable.CreateVariableUnchecked((_localctx._VARIABLE!=null?_localctx._VARIABLE.Text:null)); } @@ -1870,984 +1879,984 @@ public AtomContext atom() { case 7: EnterOuterAlt(_localctx, 7); { - State = 325; - Match(T__33); - State = 326; - _localctx._expression = expression(); - State = 327; + State = 329; Match(T__34); + State = 330; + _localctx._expression = expression(); + State = 331; + Match(T__35); _localctx.value = _localctx._expression.value.Abs(); } break; case 8: EnterOuterAlt(_localctx, 8); { - State = 330; - Match(T__35); - State = 331; - _localctx._function_arguments = function_arguments(); - State = 332; + State = 334; Match(T__36); + State = 335; + _localctx._function_arguments = function_arguments(); + State = 336; + Match(T__37); _localctx.value = ParsingHelpers.TryBuildingMatrix(_localctx._function_arguments.list).T; } break; case 9: EnterOuterAlt(_localctx, 9); { - State = 335; - Match(T__35); - State = 336; + State = 339; + Match(T__36); + State = 340; _localctx._function_arguments = function_arguments(); - State = 337; - Match(T__37); + State = 341; + Match(T__38); _localctx.value = ParsingHelpers.TryBuildingMatrix(_localctx._function_arguments.list); } break; case 10: EnterOuterAlt(_localctx, 10); { - State = 340; - Match(T__38); - State = 341; - _localctx._interval_arguments = interval_arguments(); - State = 342; + State = 344; Match(T__39); + State = 345; + _localctx._interval_arguments = interval_arguments(); + State = 346; + Match(T__40); _localctx.value = new Entity.Set.Interval(_localctx._interval_arguments.couple.from, false, _localctx._interval_arguments.couple.to, false); } break; case 11: EnterOuterAlt(_localctx, 11); { - State = 345; - Match(T__35); - State = 346; + State = 349; + Match(T__36); + State = 350; _localctx._interval_arguments = interval_arguments(); - State = 347; - Match(T__39); + State = 351; + Match(T__40); _localctx.value = new Entity.Set.Interval(_localctx._interval_arguments.couple.from, true, _localctx._interval_arguments.couple.to, false); } break; case 12: EnterOuterAlt(_localctx, 12); { - State = 350; - Match(T__35); - State = 351; + State = 354; + Match(T__36); + State = 355; _localctx._interval_arguments = interval_arguments(); - State = 352; - Match(T__37); + State = 356; + Match(T__38); _localctx.value = new Entity.Set.Interval(_localctx._interval_arguments.couple.from, true, _localctx._interval_arguments.couple.to, true); } break; case 13: EnterOuterAlt(_localctx, 13); { - State = 355; - Match(T__38); - State = 356; + State = 359; + Match(T__39); + State = 360; _localctx._interval_arguments = interval_arguments(); - State = 357; - Match(T__37); + State = 361; + Match(T__38); _localctx.value = new Entity.Set.Interval(_localctx._interval_arguments.couple.from, false, _localctx._interval_arguments.couple.to, true); } break; case 14: EnterOuterAlt(_localctx, 14); { - State = 360; - Match(T__38); - State = 361; - _localctx._expression = expression(); - State = 362; + State = 364; Match(T__39); + State = 365; + _localctx._expression = expression(); + State = 366; + Match(T__40); _localctx.value = _localctx._expression.value; } break; case 15: EnterOuterAlt(_localctx, 15); { - State = 365; - Match(T__40); - State = 366; - _localctx.cset_args = cset_arguments(); - State = 367; + State = 369; Match(T__41); + State = 370; + _localctx.cset_args = cset_arguments(); + State = 371; + Match(T__42); _localctx.value = new ConditionalSet(_localctx.cset_args.couple.variable, _localctx.cset_args.couple.predicate); } break; case 16: EnterOuterAlt(_localctx, 16); { - State = 370; - Match(T__40); - State = 371; - _localctx.args = function_arguments(); - State = 372; + State = 374; Match(T__41); + State = 375; + _localctx.args = function_arguments(); + State = 376; + Match(T__42); _localctx.value = new FiniteSet((IEnumerable)_localctx.args.list); } break; case 17: EnterOuterAlt(_localctx, 17); { - State = 375; - Match(T__42); - State = 376; + State = 379; + Match(T__43); + State = 380; _localctx.args = function_arguments(); - State = 377; - Match(T__39); + State = 381; + Match(T__40); _localctx.value = Assert("log", (1, 2), _localctx.args.list.Count) ? MathS.Log(10, _localctx.args.list[0]) : MathS.Log(_localctx.args.list[0], _localctx.args.list[1]); } break; case 18: EnterOuterAlt(_localctx, 18); { - State = 380; - Match(T__43); - State = 381; + State = 384; + Match(T__44); + State = 385; _localctx.args = function_arguments(); - State = 382; - Match(T__39); + State = 386; + Match(T__40); Assert("pow", 2, _localctx.args.list.Count); _localctx.value = MathS.Pow(_localctx.args.list[0], _localctx.args.list[1]); } break; case 19: EnterOuterAlt(_localctx, 19); { - State = 385; - Match(T__44); - State = 386; + State = 389; + Match(T__45); + State = 390; _localctx.args = function_arguments(); - State = 387; - Match(T__39); + State = 391; + Match(T__40); Assert("sqrt", 1, _localctx.args.list.Count); _localctx.value = MathS.Sqrt(_localctx.args.list[0]); } break; case 20: EnterOuterAlt(_localctx, 20); { - State = 390; - Match(T__45); - State = 391; + State = 394; + Match(T__46); + State = 395; _localctx.args = function_arguments(); - State = 392; - Match(T__39); + State = 396; + Match(T__40); Assert("cbrt", 1, _localctx.args.list.Count); _localctx.value = MathS.Cbrt(_localctx.args.list[0]); } break; case 21: EnterOuterAlt(_localctx, 21); { - State = 395; - Match(T__46); - State = 396; + State = 399; + Match(T__47); + State = 400; _localctx.args = function_arguments(); - State = 397; - Match(T__39); + State = 401; + Match(T__40); Assert("sqr", 1, _localctx.args.list.Count); _localctx.value = MathS.Sqr(_localctx.args.list[0]); } break; case 22: EnterOuterAlt(_localctx, 22); { - State = 400; - Match(T__47); - State = 401; + State = 404; + Match(T__48); + State = 405; _localctx.args = function_arguments(); - State = 402; - Match(T__39); + State = 406; + Match(T__40); Assert("ln", 1, _localctx.args.list.Count); _localctx.value = MathS.Ln(_localctx.args.list[0]); } break; case 23: EnterOuterAlt(_localctx, 23); { - State = 405; - Match(T__48); - State = 406; + State = 409; + Match(T__49); + State = 410; _localctx.args = function_arguments(); - State = 407; - Match(T__39); + State = 411; + Match(T__40); Assert("sin", 1, _localctx.args.list.Count); _localctx.value = MathS.Sin(_localctx.args.list[0]); } break; case 24: EnterOuterAlt(_localctx, 24); { - State = 410; - Match(T__49); - State = 411; + State = 414; + Match(T__50); + State = 415; _localctx.args = function_arguments(); - State = 412; - Match(T__39); + State = 416; + Match(T__40); Assert("cos", 1, _localctx.args.list.Count); _localctx.value = MathS.Cos(_localctx.args.list[0]); } break; case 25: EnterOuterAlt(_localctx, 25); { - State = 415; - Match(T__50); - State = 416; + State = 419; + Match(T__51); + State = 420; _localctx.args = function_arguments(); - State = 417; - Match(T__39); + State = 421; + Match(T__40); Assert("tan", 1, _localctx.args.list.Count); _localctx.value = MathS.Tan(_localctx.args.list[0]); } break; case 26: EnterOuterAlt(_localctx, 26); { - State = 420; - Match(T__51); - State = 421; + State = 424; + Match(T__52); + State = 425; _localctx.args = function_arguments(); - State = 422; - Match(T__39); + State = 426; + Match(T__40); Assert("cotan", 1, _localctx.args.list.Count); _localctx.value = MathS.Cotan(_localctx.args.list[0]); } break; case 27: EnterOuterAlt(_localctx, 27); { - State = 425; - Match(T__52); - State = 426; + State = 429; + Match(T__53); + State = 430; _localctx.args = function_arguments(); - State = 427; - Match(T__39); + State = 431; + Match(T__40); Assert("cotan", 1, _localctx.args.list.Count); _localctx.value = MathS.Cotan(_localctx.args.list[0]); } break; case 28: EnterOuterAlt(_localctx, 28); { - State = 430; - Match(T__53); - State = 431; + State = 434; + Match(T__54); + State = 435; _localctx.args = function_arguments(); - State = 432; - Match(T__39); + State = 436; + Match(T__40); Assert("sec", 1, _localctx.args.list.Count); _localctx.value = MathS.Sec(_localctx.args.list[0]); } break; case 29: EnterOuterAlt(_localctx, 29); { - State = 435; - Match(T__54); - State = 436; + State = 439; + Match(T__55); + State = 440; _localctx.args = function_arguments(); - State = 437; - Match(T__39); + State = 441; + Match(T__40); Assert("cosec", 1, _localctx.args.list.Count); _localctx.value = MathS.Cosec(_localctx.args.list[0]); } break; case 30: EnterOuterAlt(_localctx, 30); { - State = 440; - Match(T__55); - State = 441; + State = 444; + Match(T__56); + State = 445; _localctx.args = function_arguments(); - State = 442; - Match(T__39); + State = 446; + Match(T__40); Assert("cosec", 1, _localctx.args.list.Count); _localctx.value = MathS.Cosec(_localctx.args.list[0]); } break; case 31: EnterOuterAlt(_localctx, 31); { - State = 445; - Match(T__56); - State = 446; + State = 449; + Match(T__57); + State = 450; _localctx.args = function_arguments(); - State = 447; - Match(T__39); + State = 451; + Match(T__40); Assert("arcsin", 1, _localctx.args.list.Count); _localctx.value = MathS.Arcsin(_localctx.args.list[0]); } break; case 32: EnterOuterAlt(_localctx, 32); { - State = 450; - Match(T__57); - State = 451; + State = 454; + Match(T__58); + State = 455; _localctx.args = function_arguments(); - State = 452; - Match(T__39); + State = 456; + Match(T__40); Assert("arccos", 1, _localctx.args.list.Count); _localctx.value = MathS.Arccos(_localctx.args.list[0]); } break; case 33: EnterOuterAlt(_localctx, 33); { - State = 455; - Match(T__58); - State = 456; + State = 459; + Match(T__59); + State = 460; _localctx.args = function_arguments(); - State = 457; - Match(T__39); + State = 461; + Match(T__40); Assert("arctan", 1, _localctx.args.list.Count); _localctx.value = MathS.Arctan(_localctx.args.list[0]); } break; case 34: EnterOuterAlt(_localctx, 34); { - State = 460; - Match(T__59); - State = 461; + State = 464; + Match(T__60); + State = 465; _localctx.args = function_arguments(); - State = 462; - Match(T__39); + State = 466; + Match(T__40); Assert("arccotan", 1, _localctx.args.list.Count); _localctx.value = MathS.Arccotan(_localctx.args.list[0]); } break; case 35: EnterOuterAlt(_localctx, 35); { - State = 465; - Match(T__60); - State = 466; + State = 469; + Match(T__61); + State = 470; _localctx.args = function_arguments(); - State = 467; - Match(T__39); + State = 471; + Match(T__40); Assert("arcsec", 1, _localctx.args.list.Count); _localctx.value = MathS.Arcsec(_localctx.args.list[0]); } break; case 36: EnterOuterAlt(_localctx, 36); { - State = 470; - Match(T__61); - State = 471; + State = 474; + Match(T__62); + State = 475; _localctx.args = function_arguments(); - State = 472; - Match(T__39); + State = 476; + Match(T__40); Assert("arccosec", 1, _localctx.args.list.Count); _localctx.value = MathS.Arccosec(_localctx.args.list[0]); } break; case 37: EnterOuterAlt(_localctx, 37); { - State = 475; - Match(T__62); - State = 476; + State = 479; + Match(T__63); + State = 480; _localctx.args = function_arguments(); - State = 477; - Match(T__39); + State = 481; + Match(T__40); Assert("arccosec", 1, _localctx.args.list.Count); _localctx.value = MathS.Arccosec(_localctx.args.list[0]); } break; case 38: EnterOuterAlt(_localctx, 38); { - State = 480; - Match(T__63); - State = 481; + State = 484; + Match(T__64); + State = 485; _localctx.args = function_arguments(); - State = 482; - Match(T__39); + State = 486; + Match(T__40); Assert("arccosec", 1, _localctx.args.list.Count); _localctx.value = MathS.Arccosec(_localctx.args.list[0]); } break; case 39: EnterOuterAlt(_localctx, 39); { - State = 485; - Match(T__64); - State = 486; + State = 489; + Match(T__65); + State = 490; _localctx.args = function_arguments(); - State = 487; - Match(T__39); + State = 491; + Match(T__40); Assert("arcsin", 1, _localctx.args.list.Count); _localctx.value = MathS.Arcsin(_localctx.args.list[0]); } break; case 40: EnterOuterAlt(_localctx, 40); { - State = 490; - Match(T__65); - State = 491; + State = 494; + Match(T__66); + State = 495; _localctx.args = function_arguments(); - State = 492; - Match(T__39); + State = 496; + Match(T__40); Assert("arccos", 1, _localctx.args.list.Count); _localctx.value = MathS.Arccos(_localctx.args.list[0]); } break; case 41: EnterOuterAlt(_localctx, 41); { - State = 495; - Match(T__66); - State = 496; + State = 499; + Match(T__67); + State = 500; _localctx.args = function_arguments(); - State = 497; - Match(T__39); + State = 501; + Match(T__40); Assert("arctan", 1, _localctx.args.list.Count); _localctx.value = MathS.Arctan(_localctx.args.list[0]); } break; case 42: EnterOuterAlt(_localctx, 42); { - State = 500; - Match(T__67); - State = 501; + State = 504; + Match(T__68); + State = 505; _localctx.args = function_arguments(); - State = 502; - Match(T__39); + State = 506; + Match(T__40); Assert("arccotan", 1, _localctx.args.list.Count); _localctx.value = MathS.Arccotan(_localctx.args.list[0]); } break; case 43: EnterOuterAlt(_localctx, 43); { - State = 505; - Match(T__68); - State = 506; + State = 509; + Match(T__69); + State = 510; _localctx.args = function_arguments(); - State = 507; - Match(T__39); + State = 511; + Match(T__40); Assert("arcsec", 1, _localctx.args.list.Count); _localctx.value = MathS.Arcsec(_localctx.args.list[0]); } break; case 44: EnterOuterAlt(_localctx, 44); { - State = 510; - Match(T__69); - State = 511; + State = 514; + Match(T__70); + State = 515; _localctx.args = function_arguments(); - State = 512; - Match(T__39); + State = 516; + Match(T__40); Assert("arccosec", 1, _localctx.args.list.Count); _localctx.value = MathS.Arccosec(_localctx.args.list[0]); } break; case 45: EnterOuterAlt(_localctx, 45); { - State = 515; - Match(T__70); - State = 516; + State = 519; + Match(T__71); + State = 520; _localctx.args = function_arguments(); - State = 517; - Match(T__39); + State = 521; + Match(T__40); Assert("arccotan", 1, _localctx.args.list.Count); _localctx.value = MathS.Arccotan(_localctx.args.list[0]); } break; case 46: EnterOuterAlt(_localctx, 46); { - State = 520; - Match(T__71); - State = 521; + State = 524; + Match(T__72); + State = 525; _localctx.args = function_arguments(); - State = 522; - Match(T__39); + State = 526; + Match(T__40); Assert("arccotan", 1, _localctx.args.list.Count); _localctx.value = MathS.Arccotan(_localctx.args.list[0]); } break; case 47: EnterOuterAlt(_localctx, 47); { - State = 525; - Match(T__72); - State = 526; + State = 529; + Match(T__73); + State = 530; _localctx.args = function_arguments(); - State = 527; - Match(T__39); + State = 531; + Match(T__40); Assert("sin", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Sinh(_localctx.args.list[0]); } break; case 48: EnterOuterAlt(_localctx, 48); { - State = 530; - Match(T__73); - State = 531; + State = 534; + Match(T__74); + State = 535; _localctx.args = function_arguments(); - State = 532; - Match(T__39); + State = 536; + Match(T__40); Assert("sin", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Sinh(_localctx.args.list[0]); } break; case 49: EnterOuterAlt(_localctx, 49); { - State = 535; - Match(T__74); - State = 536; + State = 539; + Match(T__75); + State = 540; _localctx.args = function_arguments(); - State = 537; - Match(T__39); + State = 541; + Match(T__40); Assert("cos", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Cosh(_localctx.args.list[0]); } break; case 50: EnterOuterAlt(_localctx, 50); { - State = 540; - Match(T__75); - State = 541; + State = 544; + Match(T__76); + State = 545; _localctx.args = function_arguments(); - State = 542; - Match(T__39); + State = 546; + Match(T__40); Assert("cos", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Cosh(_localctx.args.list[0]); } break; case 51: EnterOuterAlt(_localctx, 51); { - State = 545; - Match(T__76); - State = 546; + State = 549; + Match(T__77); + State = 550; _localctx.args = function_arguments(); - State = 547; - Match(T__39); + State = 551; + Match(T__40); Assert("tan", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Tanh(_localctx.args.list[0]); } break; case 52: EnterOuterAlt(_localctx, 52); { - State = 550; - Match(T__77); - State = 551; + State = 554; + Match(T__78); + State = 555; _localctx.args = function_arguments(); - State = 552; - Match(T__39); + State = 556; + Match(T__40); Assert("tan", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Tanh(_localctx.args.list[0]); } break; case 53: EnterOuterAlt(_localctx, 53); { - State = 555; - Match(T__78); - State = 556; + State = 559; + Match(T__79); + State = 560; _localctx.args = function_arguments(); - State = 557; - Match(T__39); + State = 561; + Match(T__40); Assert("cotan", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Cotanh(_localctx.args.list[0]); } break; case 54: EnterOuterAlt(_localctx, 54); { - State = 560; - Match(T__79); - State = 561; + State = 564; + Match(T__80); + State = 565; _localctx.args = function_arguments(); - State = 562; - Match(T__39); + State = 566; + Match(T__40); Assert("cotan", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Cotanh(_localctx.args.list[0]); } break; case 55: EnterOuterAlt(_localctx, 55); { - State = 565; - Match(T__80); - State = 566; + State = 569; + Match(T__81); + State = 570; _localctx.args = function_arguments(); - State = 567; - Match(T__39); + State = 571; + Match(T__40); Assert("cotan", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Cotanh(_localctx.args.list[0]); } break; case 56: EnterOuterAlt(_localctx, 56); { - State = 570; - Match(T__81); - State = 571; + State = 574; + Match(T__82); + State = 575; _localctx.args = function_arguments(); - State = 572; - Match(T__39); + State = 576; + Match(T__40); Assert("sec", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Sech(_localctx.args.list[0]); } break; case 57: EnterOuterAlt(_localctx, 57); { - State = 575; - Match(T__82); - State = 576; + State = 579; + Match(T__83); + State = 580; _localctx.args = function_arguments(); - State = 577; - Match(T__39); + State = 581; + Match(T__40); Assert("sec", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Sech(_localctx.args.list[0]); } break; case 58: EnterOuterAlt(_localctx, 58); { - State = 580; - Match(T__83); - State = 581; + State = 584; + Match(T__84); + State = 585; _localctx.args = function_arguments(); - State = 582; - Match(T__39); + State = 586; + Match(T__40); Assert("cosec", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Cosech(_localctx.args.list[0]); } break; case 59: EnterOuterAlt(_localctx, 59); { - State = 585; - Match(T__84); - State = 586; + State = 589; + Match(T__85); + State = 590; _localctx.args = function_arguments(); - State = 587; - Match(T__39); + State = 591; + Match(T__40); Assert("cosec", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Cosech(_localctx.args.list[0]); } break; case 60: EnterOuterAlt(_localctx, 60); { - State = 590; - Match(T__85); - State = 591; + State = 594; + Match(T__86); + State = 595; _localctx.args = function_arguments(); - State = 592; - Match(T__39); + State = 596; + Match(T__40); Assert("arcsin", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Arsinh(_localctx.args.list[0]); } break; case 61: EnterOuterAlt(_localctx, 61); { - State = 595; - Match(T__86); - State = 596; + State = 599; + Match(T__87); + State = 600; _localctx.args = function_arguments(); - State = 597; - Match(T__39); + State = 601; + Match(T__40); Assert("arcsin", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Arsinh(_localctx.args.list[0]); } break; case 62: EnterOuterAlt(_localctx, 62); { - State = 600; - Match(T__87); - State = 601; + State = 604; + Match(T__88); + State = 605; _localctx.args = function_arguments(); - State = 602; - Match(T__39); + State = 606; + Match(T__40); Assert("arcsin", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Arsinh(_localctx.args.list[0]); } break; case 63: EnterOuterAlt(_localctx, 63); { - State = 605; - Match(T__88); - State = 606; + State = 609; + Match(T__89); + State = 610; _localctx.args = function_arguments(); - State = 607; - Match(T__39); + State = 611; + Match(T__40); throw new UnrecognizedFunctionParseException("there is no function arcsinh: the inverse hyperbolic functions are area functions, not arc functions, so the inverse hyperbolic sine is arsinh, asinh or arsh"); } break; case 64: EnterOuterAlt(_localctx, 64); { - State = 610; - Match(T__89); - State = 611; + State = 614; + Match(T__90); + State = 615; _localctx.args = function_arguments(); - State = 612; - Match(T__39); + State = 616; + Match(T__40); Assert("arccos", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Arcosh(_localctx.args.list[0]); } break; case 65: EnterOuterAlt(_localctx, 65); { - State = 615; - Match(T__90); - State = 616; + State = 619; + Match(T__91); + State = 620; _localctx.args = function_arguments(); - State = 617; - Match(T__39); + State = 621; + Match(T__40); Assert("arccos", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Arcosh(_localctx.args.list[0]); } break; case 66: EnterOuterAlt(_localctx, 66); { - State = 620; - Match(T__91); - State = 621; + State = 624; + Match(T__92); + State = 625; _localctx.args = function_arguments(); - State = 622; - Match(T__39); + State = 626; + Match(T__40); Assert("arccos", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Arcosh(_localctx.args.list[0]); } break; case 67: EnterOuterAlt(_localctx, 67); { - State = 625; - Match(T__92); - State = 626; + State = 629; + Match(T__93); + State = 630; _localctx.args = function_arguments(); - State = 627; - Match(T__39); + State = 631; + Match(T__40); throw new UnrecognizedFunctionParseException("there is no function arccosh: the inverse hyperbolic functions are area functions, not arc functions, so the inverse hyperbolic cosine is arcosh, acosh or arch"); } break; case 68: EnterOuterAlt(_localctx, 68); { - State = 630; - Match(T__93); - State = 631; + State = 634; + Match(T__94); + State = 635; _localctx.args = function_arguments(); - State = 632; - Match(T__39); + State = 636; + Match(T__40); Assert("arctan", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Artanh(_localctx.args.list[0]); } break; case 69: EnterOuterAlt(_localctx, 69); { - State = 635; - Match(T__94); - State = 636; + State = 639; + Match(T__95); + State = 640; _localctx.args = function_arguments(); - State = 637; - Match(T__39); + State = 641; + Match(T__40); Assert("arctan", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Artanh(_localctx.args.list[0]); } break; case 70: EnterOuterAlt(_localctx, 70); { - State = 640; - Match(T__95); - State = 641; + State = 644; + Match(T__96); + State = 645; _localctx.args = function_arguments(); - State = 642; - Match(T__39); + State = 646; + Match(T__40); Assert("arctan", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Artanh(_localctx.args.list[0]); } break; case 71: EnterOuterAlt(_localctx, 71); { - State = 645; - Match(T__96); - State = 646; + State = 649; + Match(T__97); + State = 650; _localctx.args = function_arguments(); - State = 647; - Match(T__39); + State = 651; + Match(T__40); throw new UnrecognizedFunctionParseException("there is no function arctanh: the inverse hyperbolic functions are area functions, not arc functions, so the inverse hyperbolic tangent is artanh, atanh or arth"); } break; case 72: EnterOuterAlt(_localctx, 72); { - State = 650; - Match(T__97); - State = 651; + State = 654; + Match(T__98); + State = 655; _localctx.args = function_arguments(); - State = 652; - Match(T__39); + State = 656; + Match(T__40); Assert("arccotan", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Arcotanh(_localctx.args.list[0]); } break; case 73: EnterOuterAlt(_localctx, 73); { - State = 655; - Match(T__98); - State = 656; + State = 659; + Match(T__99); + State = 660; _localctx.args = function_arguments(); - State = 657; - Match(T__39); + State = 661; + Match(T__40); Assert("arccotan", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Arcotanh(_localctx.args.list[0]); } break; case 74: EnterOuterAlt(_localctx, 74); { - State = 660; - Match(T__99); - State = 661; + State = 664; + Match(T__100); + State = 665; _localctx.args = function_arguments(); - State = 662; - Match(T__39); + State = 666; + Match(T__40); Assert("arccotan", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Arcotanh(_localctx.args.list[0]); } break; case 75: EnterOuterAlt(_localctx, 75); { - State = 665; - Match(T__100); - State = 666; + State = 669; + Match(T__101); + State = 670; _localctx.args = function_arguments(); - State = 667; - Match(T__39); + State = 671; + Match(T__40); Assert("arccotan", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Arcotanh(_localctx.args.list[0]); } break; case 76: EnterOuterAlt(_localctx, 76); { - State = 670; - Match(T__101); - State = 671; + State = 674; + Match(T__102); + State = 675; _localctx.args = function_arguments(); - State = 672; - Match(T__39); + State = 676; + Match(T__40); Assert("arccotan", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Arcotanh(_localctx.args.list[0]); } break; case 77: EnterOuterAlt(_localctx, 77); { - State = 675; - Match(T__102); - State = 676; + State = 679; + Match(T__103); + State = 680; _localctx.args = function_arguments(); - State = 677; - Match(T__39); + State = 681; + Match(T__40); throw new UnrecognizedFunctionParseException("there is no function arccotanh: the inverse hyperbolic functions are area functions, not arc functions, so the inverse hyperbolic cotangent is arcotanh, acotanh, arcoth, acoth or arcth"); } break; case 78: EnterOuterAlt(_localctx, 78); { - State = 680; - Match(T__103); - State = 681; + State = 684; + Match(T__104); + State = 685; _localctx.args = function_arguments(); - State = 682; - Match(T__39); + State = 686; + Match(T__40); Assert("arcsec", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Arsech(_localctx.args.list[0]); } break; case 79: EnterOuterAlt(_localctx, 79); { - State = 685; - Match(T__104); - State = 686; + State = 689; + Match(T__105); + State = 690; _localctx.args = function_arguments(); - State = 687; - Match(T__39); + State = 691; + Match(T__40); Assert("arcsec", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Arsech(_localctx.args.list[0]); } break; case 80: EnterOuterAlt(_localctx, 80); { - State = 690; - Match(T__105); - State = 691; + State = 694; + Match(T__106); + State = 695; _localctx.args = function_arguments(); - State = 692; - Match(T__39); + State = 696; + Match(T__40); Assert("arcsec", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Arsech(_localctx.args.list[0]); } break; case 81: EnterOuterAlt(_localctx, 81); { - State = 695; - Match(T__106); - State = 696; + State = 699; + Match(T__107); + State = 700; _localctx.args = function_arguments(); - State = 697; - Match(T__39); + State = 701; + Match(T__40); throw new UnrecognizedFunctionParseException("there is no function arcsech: the inverse hyperbolic functions are area functions, not arc functions, so the inverse hyperbolic secant is arsech, asech or arsch"); } break; case 82: EnterOuterAlt(_localctx, 82); { - State = 700; - Match(T__107); - State = 701; + State = 704; + Match(T__108); + State = 705; _localctx.args = function_arguments(); - State = 702; - Match(T__39); + State = 706; + Match(T__40); Assert("arccosec", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Arcosech(_localctx.args.list[0]); } break; case 83: EnterOuterAlt(_localctx, 83); { - State = 705; - Match(T__108); - State = 706; + State = 709; + Match(T__109); + State = 710; _localctx.args = function_arguments(); - State = 707; - Match(T__39); + State = 711; + Match(T__40); Assert("arccosec", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Arcosech(_localctx.args.list[0]); } break; case 84: EnterOuterAlt(_localctx, 84); { - State = 710; - Match(T__109); - State = 711; + State = 714; + Match(T__110); + State = 715; _localctx.args = function_arguments(); - State = 712; - Match(T__39); + State = 716; + Match(T__40); Assert("arccosec", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Arcosech(_localctx.args.list[0]); } break; case 85: EnterOuterAlt(_localctx, 85); { - State = 715; - Match(T__110); - State = 716; + State = 719; + Match(T__111); + State = 720; _localctx.args = function_arguments(); - State = 717; - Match(T__39); + State = 721; + Match(T__40); throw new UnrecognizedFunctionParseException("there is no function arccosech: the inverse hyperbolic functions are area functions, not arc functions, so the inverse hyperbolic cosecant is arcosech, acosech, arcsch or acsch"); } break; case 86: EnterOuterAlt(_localctx, 86); { - State = 720; - Match(T__111); - State = 721; + State = 724; + Match(T__112); + State = 725; _localctx.args = function_arguments(); - State = 722; - Match(T__39); + State = 726; + Match(T__40); Assert("arccosec", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Arcosech(_localctx.args.list[0]); } break; case 87: EnterOuterAlt(_localctx, 87); { - State = 725; - Match(T__112); - State = 726; + State = 729; + Match(T__113); + State = 730; _localctx.args = function_arguments(); - State = 727; - Match(T__39); + State = 731; + Match(T__40); Assert("gamma", 1, _localctx.args.list.Count); _localctx.value = MathS.Gamma(_localctx.args.list[0]); } break; case 88: EnterOuterAlt(_localctx, 88); { - State = 730; - Match(T__113); - State = 731; + State = 734; + Match(T__114); + State = 735; _localctx.args = function_arguments(); - State = 732; - Match(T__39); + State = 736; + Match(T__40); if (Assert("derivative", (3, 2), _localctx.args.list.Count)) { @@ -2864,12 +2873,12 @@ public AtomContext atom() { case 89: EnterOuterAlt(_localctx, 89); { - State = 735; - Match(T__114); - State = 736; + State = 739; + Match(T__115); + State = 740; _localctx.args = function_arguments(); - State = 737; - Match(T__39); + State = 741; + Match(T__40); if (Assert("integral", (4, 2), _localctx.args.list.Count)) { @@ -2886,108 +2895,108 @@ public AtomContext atom() { case 90: EnterOuterAlt(_localctx, 90); { - State = 740; - Match(T__115); - State = 741; + State = 744; + Match(T__116); + State = 745; _localctx.args = function_arguments(); - State = 742; - Match(T__39); + State = 746; + Match(T__40); Assert("limit", 3, _localctx.args.list.Count); _localctx.value = MathS.Limit(_localctx.args.list[0], _localctx.args.list[1], _localctx.args.list[2]); } break; case 91: EnterOuterAlt(_localctx, 91); { - State = 745; - Match(T__116); - State = 746; + State = 749; + Match(T__117); + State = 750; _localctx.args = function_arguments(); - State = 747; - Match(T__39); + State = 751; + Match(T__40); Assert("limitleft", 3, _localctx.args.list.Count); _localctx.value = MathS.Limit(_localctx.args.list[0], _localctx.args.list[1], _localctx.args.list[2], AngouriMath.Core.ApproachFrom.Left); } break; case 92: EnterOuterAlt(_localctx, 92); { - State = 750; - Match(T__117); - State = 751; + State = 754; + Match(T__118); + State = 755; _localctx.args = function_arguments(); - State = 752; - Match(T__39); + State = 756; + Match(T__40); Assert("limitright", 3, _localctx.args.list.Count); _localctx.value = MathS.Limit(_localctx.args.list[0], _localctx.args.list[1], _localctx.args.list[2], AngouriMath.Core.ApproachFrom.Right); } break; case 93: EnterOuterAlt(_localctx, 93); { - State = 755; - Match(T__118); - State = 756; + State = 759; + Match(T__119); + State = 760; _localctx.args = function_arguments(); - State = 757; - Match(T__39); + State = 761; + Match(T__40); Assert("signum", 1, _localctx.args.list.Count); _localctx.value = MathS.Signum(_localctx.args.list[0]); } break; case 94: EnterOuterAlt(_localctx, 94); { - State = 760; - Match(T__119); - State = 761; + State = 764; + Match(T__120); + State = 765; _localctx.args = function_arguments(); - State = 762; - Match(T__39); + State = 766; + Match(T__40); Assert("sgn", 1, _localctx.args.list.Count); _localctx.value = MathS.Signum(_localctx.args.list[0]); } break; case 95: EnterOuterAlt(_localctx, 95); { - State = 765; - Match(T__120); - State = 766; + State = 769; + Match(T__121); + State = 770; _localctx.args = function_arguments(); - State = 767; - Match(T__39); + State = 771; + Match(T__40); Assert("sign", 1, _localctx.args.list.Count); _localctx.value = MathS.Signum(_localctx.args.list[0]); } break; case 96: EnterOuterAlt(_localctx, 96); { - State = 770; - Match(T__121); - State = 771; + State = 774; + Match(T__122); + State = 775; _localctx.args = function_arguments(); - State = 772; - Match(T__39); + State = 776; + Match(T__40); Assert("abs", 1, _localctx.args.list.Count); _localctx.value = MathS.Abs(_localctx.args.list[0]); } break; case 97: EnterOuterAlt(_localctx, 97); { - State = 775; - Match(T__122); - State = 776; + State = 779; + Match(T__123); + State = 780; _localctx.args = function_arguments(); - State = 777; - Match(T__39); + State = 781; + Match(T__40); Assert("phi", 1, _localctx.args.list.Count); _localctx.value = MathS.NumberTheory.Phi(_localctx.args.list[0]); } break; case 98: EnterOuterAlt(_localctx, 98); { - State = 780; - Match(T__123); - State = 781; + State = 784; + Match(T__124); + State = 785; _localctx.args = function_arguments(); - State = 782; - Match(T__39); + State = 786; + Match(T__40); Assert("domain", 2, _localctx.args.list.Count); if (_localctx.args.list[1] is not SpecialSet ss) @@ -2999,12 +3008,12 @@ public AtomContext atom() { case 99: EnterOuterAlt(_localctx, 99); { - State = 785; - Match(T__124); - State = 786; + State = 789; + Match(T__125); + State = 790; _localctx.args = function_arguments(); - State = 787; - Match(T__39); + State = 791; + Match(T__40); var cases = new List(); foreach (var arg in _localctx.args.list) @@ -3019,12 +3028,12 @@ public AtomContext atom() { case 100: EnterOuterAlt(_localctx, 100); { - State = 790; - Match(T__125); - State = 791; + State = 794; + Match(T__126); + State = 795; _localctx.args = function_arguments(); - State = 792; - Match(T__39); + State = 796; + Match(T__40); if (_localctx.args.list.Count < 2) throw new FunctionArgumentCountException("Should be at least one argument in apply function"); @@ -3035,12 +3044,12 @@ public AtomContext atom() { case 101: EnterOuterAlt(_localctx, 101); { - State = 795; - Match(T__126); - State = 796; + State = 799; + Match(T__127); + State = 800; _localctx.args = function_arguments(); - State = 797; - Match(T__39); + State = 801; + Match(T__40); if (_localctx.args.list.Count < 2) throw new FunctionArgumentCountException("Should be at least two arguments in lambda function"); @@ -3097,9 +3106,9 @@ public StatementContext statement() { try { EnterOuterAlt(_localctx, 1); { - State = 802; + State = 806; _localctx._expression = expression(); - State = 803; + State = 807; Match(Eof); Result = _localctx._expression.value; } @@ -3116,29 +3125,30 @@ public StatementContext statement() { } private static int[] _serializedATN = { - 4,1,134,807,2,0,7,0,2,1,7,1,2,2,7,2,2,3,7,3,2,4,7,4,2,5,7,5,2,6,7,6,2, + 4,1,135,811,2,0,7,0,2,1,7,1,2,2,7,2,2,3,7,3,2,4,7,4,2,5,7,5,2,6,7,6,2, 7,7,7,2,8,7,8,2,9,7,9,2,10,7,10,2,11,7,11,2,12,7,12,2,13,7,13,2,14,7,14, 2,15,7,15,2,16,7,16,2,17,7,17,2,18,7,18,2,19,7,19,2,20,7,20,2,21,7,21, 1,0,1,0,1,0,1,0,1,0,1,0,1,0,3,0,52,8,0,1,1,1,1,1,1,1,1,4,1,58,8,1,11,1, 12,1,59,1,1,1,1,1,1,1,1,4,1,66,8,1,11,1,12,1,67,3,1,70,8,1,1,2,1,2,1,2, 1,2,1,2,3,2,77,8,2,1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,3,3,87,8,3,1,3,1,3, 1,3,1,3,1,3,1,3,1,3,1,3,3,3,97,8,3,1,3,1,3,1,3,3,3,102,8,3,1,4,1,4,1,4, - 1,4,1,4,1,4,1,4,1,4,1,4,1,4,5,4,114,8,4,10,4,12,4,117,9,4,1,5,1,5,1,5, - 1,5,1,5,1,5,1,5,1,5,1,5,1,5,5,5,129,8,5,10,5,12,5,132,9,5,1,6,1,6,1,6, - 1,6,1,6,1,6,1,6,1,6,1,6,1,6,5,6,144,8,6,10,6,12,6,147,9,6,1,7,1,7,1,7, - 1,7,1,7,1,7,1,7,1,7,1,7,1,7,1,7,1,7,1,7,1,7,1,7,1,7,1,7,1,7,5,7,167,8, - 7,10,7,12,7,170,9,7,1,8,1,8,1,8,1,8,1,8,1,8,5,8,178,8,8,10,8,12,8,181, - 9,8,1,9,1,9,1,9,1,9,1,9,1,9,1,9,1,9,1,9,1,9,1,9,1,9,1,9,1,9,3,9,197,8, - 9,1,9,1,9,1,9,5,9,202,8,9,10,9,12,9,205,9,9,1,9,1,9,1,10,1,10,1,10,1,10, - 1,10,1,10,1,10,1,10,1,10,1,10,1,10,3,10,220,8,10,1,11,1,11,1,11,1,11,1, - 11,1,11,1,11,1,11,1,11,1,11,5,11,232,8,11,10,11,12,11,235,9,11,1,12,1, - 12,1,12,1,12,1,12,1,12,5,12,243,8,12,10,12,12,12,246,9,12,1,13,1,13,1, - 13,1,13,1,13,1,13,1,13,1,13,1,13,1,13,5,13,258,8,13,10,13,12,13,261,9, - 13,1,14,1,14,1,14,1,14,1,14,1,14,1,14,1,14,1,14,1,14,5,14,273,8,14,10, - 14,12,14,276,9,14,1,15,1,15,1,15,1,15,1,15,1,15,3,15,284,8,15,1,16,1,16, - 1,16,1,17,1,17,1,17,1,17,1,17,1,17,5,17,295,8,17,10,17,12,17,298,9,17, - 3,17,300,8,17,1,18,1,18,1,18,1,18,1,18,1,18,1,19,1,19,1,19,1,19,1,19,1, - 19,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1, + 1,4,1,4,1,4,1,4,1,4,1,4,1,4,1,4,1,4,1,4,1,4,5,4,118,8,4,10,4,12,4,121, + 9,4,1,5,1,5,1,5,1,5,1,5,1,5,1,5,1,5,1,5,1,5,5,5,133,8,5,10,5,12,5,136, + 9,5,1,6,1,6,1,6,1,6,1,6,1,6,1,6,1,6,1,6,1,6,5,6,148,8,6,10,6,12,6,151, + 9,6,1,7,1,7,1,7,1,7,1,7,1,7,1,7,1,7,1,7,1,7,1,7,1,7,1,7,1,7,1,7,1,7,1, + 7,1,7,5,7,171,8,7,10,7,12,7,174,9,7,1,8,1,8,1,8,1,8,1,8,1,8,5,8,182,8, + 8,10,8,12,8,185,9,8,1,9,1,9,1,9,1,9,1,9,1,9,1,9,1,9,1,9,1,9,1,9,1,9,1, + 9,1,9,3,9,201,8,9,1,9,1,9,1,9,5,9,206,8,9,10,9,12,9,209,9,9,1,9,1,9,1, + 10,1,10,1,10,1,10,1,10,1,10,1,10,1,10,1,10,1,10,1,10,3,10,224,8,10,1,11, + 1,11,1,11,1,11,1,11,1,11,1,11,1,11,1,11,1,11,5,11,236,8,11,10,11,12,11, + 239,9,11,1,12,1,12,1,12,1,12,1,12,1,12,5,12,247,8,12,10,12,12,12,250,9, + 12,1,13,1,13,1,13,1,13,1,13,1,13,1,13,1,13,1,13,1,13,5,13,262,8,13,10, + 13,12,13,265,9,13,1,14,1,14,1,14,1,14,1,14,1,14,1,14,1,14,1,14,1,14,5, + 14,277,8,14,10,14,12,14,280,9,14,1,15,1,15,1,15,1,15,1,15,1,15,3,15,288, + 8,15,1,16,1,16,1,16,1,17,1,17,1,17,1,17,1,17,1,17,5,17,299,8,17,10,17, + 12,17,302,9,17,3,17,304,8,17,1,18,1,18,1,18,1,18,1,18,1,18,1,19,1,19,1, + 19,1,19,1,19,1,19,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1, + 20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1, 20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1, 20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1, 20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1, @@ -3172,227 +3182,227 @@ public StatementContext statement() { 20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1, 20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1, 20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1, - 20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,3,20,801,8,20, - 1,21,1,21,1,21,1,21,1,21,0,0,22,0,2,4,6,8,10,12,14,16,18,20,22,24,26,28, - 30,32,34,36,38,40,42,0,0,922,0,51,1,0,0,0,2,69,1,0,0,0,4,71,1,0,0,0,6, - 101,1,0,0,0,8,103,1,0,0,0,10,118,1,0,0,0,12,133,1,0,0,0,14,148,1,0,0,0, - 16,171,1,0,0,0,18,182,1,0,0,0,20,219,1,0,0,0,22,221,1,0,0,0,24,236,1,0, - 0,0,26,247,1,0,0,0,28,262,1,0,0,0,30,277,1,0,0,0,32,285,1,0,0,0,34,299, - 1,0,0,0,36,301,1,0,0,0,38,307,1,0,0,0,40,800,1,0,0,0,42,802,1,0,0,0,44, - 45,3,40,20,0,45,46,5,1,0,0,46,47,6,0,-1,0,47,52,1,0,0,0,48,49,3,40,20, - 0,49,50,6,0,-1,0,50,52,1,0,0,0,51,44,1,0,0,0,51,48,1,0,0,0,52,1,1,0,0, - 0,53,54,5,2,0,0,54,55,3,0,0,0,55,56,6,1,-1,0,56,58,1,0,0,0,57,53,1,0,0, - 0,58,59,1,0,0,0,59,57,1,0,0,0,59,60,1,0,0,0,60,70,1,0,0,0,61,62,5,2,0, - 0,62,63,3,6,3,0,63,64,6,1,-1,0,64,66,1,0,0,0,65,61,1,0,0,0,66,67,1,0,0, - 0,67,65,1,0,0,0,67,68,1,0,0,0,68,70,1,0,0,0,69,57,1,0,0,0,69,65,1,0,0, - 0,70,3,1,0,0,0,71,72,3,0,0,0,72,76,6,2,-1,0,73,74,3,2,1,0,74,75,6,2,-1, - 0,75,77,1,0,0,0,76,73,1,0,0,0,76,77,1,0,0,0,77,5,1,0,0,0,78,79,5,3,0,0, - 79,80,3,4,2,0,80,81,6,3,-1,0,81,87,1,0,0,0,82,83,5,4,0,0,83,84,3,4,2,0, - 84,85,6,3,-1,0,85,87,1,0,0,0,86,78,1,0,0,0,86,82,1,0,0,0,87,102,1,0,0, - 0,88,89,5,3,0,0,89,90,3,6,3,0,90,91,6,3,-1,0,91,97,1,0,0,0,92,93,5,4,0, - 0,93,94,3,6,3,0,94,95,6,3,-1,0,95,97,1,0,0,0,96,88,1,0,0,0,96,92,1,0,0, - 0,97,102,1,0,0,0,98,99,3,4,2,0,99,100,6,3,-1,0,100,102,1,0,0,0,101,86, - 1,0,0,0,101,96,1,0,0,0,101,98,1,0,0,0,102,7,1,0,0,0,103,104,3,6,3,0,104, - 115,6,4,-1,0,105,106,5,5,0,0,106,107,3,6,3,0,107,108,6,4,-1,0,108,114, - 1,0,0,0,109,110,5,6,0,0,110,111,3,6,3,0,111,112,6,4,-1,0,112,114,1,0,0, - 0,113,105,1,0,0,0,113,109,1,0,0,0,114,117,1,0,0,0,115,113,1,0,0,0,115, - 116,1,0,0,0,116,9,1,0,0,0,117,115,1,0,0,0,118,119,3,8,4,0,119,130,6,5, - -1,0,120,121,5,4,0,0,121,122,3,8,4,0,122,123,6,5,-1,0,123,129,1,0,0,0, - 124,125,5,3,0,0,125,126,3,8,4,0,126,127,6,5,-1,0,127,129,1,0,0,0,128,120, - 1,0,0,0,128,124,1,0,0,0,129,132,1,0,0,0,130,128,1,0,0,0,130,131,1,0,0, - 0,131,11,1,0,0,0,132,130,1,0,0,0,133,134,3,10,5,0,134,145,6,6,-1,0,135, - 136,5,7,0,0,136,137,3,10,5,0,137,138,6,6,-1,0,138,144,1,0,0,0,139,140, - 5,8,0,0,140,141,3,10,5,0,141,142,6,6,-1,0,142,144,1,0,0,0,143,135,1,0, - 0,0,143,139,1,0,0,0,144,147,1,0,0,0,145,143,1,0,0,0,145,146,1,0,0,0,146, - 13,1,0,0,0,147,145,1,0,0,0,148,149,3,12,6,0,149,168,6,7,-1,0,150,151,5, - 9,0,0,151,152,3,12,6,0,152,153,6,7,-1,0,153,167,1,0,0,0,154,155,5,10,0, - 0,155,156,3,12,6,0,156,157,6,7,-1,0,157,167,1,0,0,0,158,159,5,11,0,0,159, - 160,3,12,6,0,160,161,6,7,-1,0,161,167,1,0,0,0,162,163,5,12,0,0,163,164, - 3,12,6,0,164,165,6,7,-1,0,165,167,1,0,0,0,166,150,1,0,0,0,166,154,1,0, - 0,0,166,158,1,0,0,0,166,162,1,0,0,0,167,170,1,0,0,0,168,166,1,0,0,0,168, - 169,1,0,0,0,169,15,1,0,0,0,170,168,1,0,0,0,171,172,3,14,7,0,172,179,6, - 8,-1,0,173,174,5,13,0,0,174,175,3,14,7,0,175,176,6,8,-1,0,176,178,1,0, - 0,0,177,173,1,0,0,0,178,181,1,0,0,0,179,177,1,0,0,0,179,180,1,0,0,0,180, - 17,1,0,0,0,181,179,1,0,0,0,182,183,3,16,8,0,183,203,6,9,-1,0,184,185,5, - 14,0,0,185,197,6,9,-1,0,186,187,5,15,0,0,187,197,6,9,-1,0,188,189,5,16, - 0,0,189,197,6,9,-1,0,190,191,5,17,0,0,191,197,6,9,-1,0,192,193,5,18,0, - 0,193,197,6,9,-1,0,194,195,5,19,0,0,195,197,6,9,-1,0,196,184,1,0,0,0,196, - 186,1,0,0,0,196,188,1,0,0,0,196,190,1,0,0,0,196,192,1,0,0,0,196,194,1, - 0,0,0,197,198,1,0,0,0,198,199,3,16,8,0,199,200,6,9,-1,0,200,202,1,0,0, - 0,201,196,1,0,0,0,202,205,1,0,0,0,203,201,1,0,0,0,203,204,1,0,0,0,204, - 206,1,0,0,0,205,203,1,0,0,0,206,207,6,9,-1,0,207,19,1,0,0,0,208,209,5, - 20,0,0,209,210,3,18,9,0,210,211,6,10,-1,0,211,220,1,0,0,0,212,213,5,20, - 0,0,213,214,3,20,10,0,214,215,6,10,-1,0,215,220,1,0,0,0,216,217,3,18,9, - 0,217,218,6,10,-1,0,218,220,1,0,0,0,219,208,1,0,0,0,219,212,1,0,0,0,219, - 216,1,0,0,0,220,21,1,0,0,0,221,222,3,20,10,0,222,233,6,11,-1,0,223,224, - 5,21,0,0,224,225,3,20,10,0,225,226,6,11,-1,0,226,232,1,0,0,0,227,228,5, - 22,0,0,228,229,3,20,10,0,229,230,6,11,-1,0,230,232,1,0,0,0,231,223,1,0, - 0,0,231,227,1,0,0,0,232,235,1,0,0,0,233,231,1,0,0,0,233,234,1,0,0,0,234, - 23,1,0,0,0,235,233,1,0,0,0,236,237,3,22,11,0,237,244,6,12,-1,0,238,239, - 5,23,0,0,239,240,3,22,11,0,240,241,6,12,-1,0,241,243,1,0,0,0,242,238,1, - 0,0,0,243,246,1,0,0,0,244,242,1,0,0,0,244,245,1,0,0,0,245,25,1,0,0,0,246, - 244,1,0,0,0,247,248,3,24,12,0,248,259,6,13,-1,0,249,250,5,24,0,0,250,251, - 3,24,12,0,251,252,6,13,-1,0,252,258,1,0,0,0,253,254,5,25,0,0,254,255,3, - 24,12,0,255,256,6,13,-1,0,256,258,1,0,0,0,257,249,1,0,0,0,257,253,1,0, - 0,0,258,261,1,0,0,0,259,257,1,0,0,0,259,260,1,0,0,0,260,27,1,0,0,0,261, - 259,1,0,0,0,262,263,3,26,13,0,263,274,6,14,-1,0,264,265,5,26,0,0,265,266, - 3,26,13,0,266,267,6,14,-1,0,267,273,1,0,0,0,268,269,5,27,0,0,269,270,3, - 26,13,0,270,271,6,14,-1,0,271,273,1,0,0,0,272,264,1,0,0,0,272,268,1,0, - 0,0,273,276,1,0,0,0,274,272,1,0,0,0,274,275,1,0,0,0,275,29,1,0,0,0,276, - 274,1,0,0,0,277,278,3,28,14,0,278,283,6,15,-1,0,279,280,5,28,0,0,280,281, - 3,30,15,0,281,282,6,15,-1,0,282,284,1,0,0,0,283,279,1,0,0,0,283,284,1, - 0,0,0,284,31,1,0,0,0,285,286,3,30,15,0,286,287,6,16,-1,0,287,33,1,0,0, - 0,288,289,3,32,16,0,289,296,6,17,-1,0,290,291,5,29,0,0,291,292,3,32,16, - 0,292,293,6,17,-1,0,293,295,1,0,0,0,294,290,1,0,0,0,295,298,1,0,0,0,296, - 294,1,0,0,0,296,297,1,0,0,0,297,300,1,0,0,0,298,296,1,0,0,0,299,288,1, - 0,0,0,299,300,1,0,0,0,300,35,1,0,0,0,301,302,3,32,16,0,302,303,6,18,-1, - 0,303,304,5,30,0,0,304,305,3,32,16,0,305,306,6,18,-1,0,306,37,1,0,0,0, - 307,308,3,32,16,0,308,309,6,19,-1,0,309,310,5,31,0,0,310,311,3,32,16,0, - 311,312,6,19,-1,0,312,39,1,0,0,0,313,314,5,32,0,0,314,801,6,20,-1,0,315, - 316,5,33,0,0,316,801,6,20,-1,0,317,318,5,129,0,0,318,801,6,20,-1,0,319, - 320,5,131,0,0,320,801,6,20,-1,0,321,322,5,130,0,0,322,801,6,20,-1,0,323, - 324,5,132,0,0,324,801,6,20,-1,0,325,326,5,34,0,0,326,327,3,32,16,0,327, - 328,5,35,0,0,328,329,6,20,-1,0,329,801,1,0,0,0,330,331,5,36,0,0,331,332, - 3,34,17,0,332,333,5,37,0,0,333,334,6,20,-1,0,334,801,1,0,0,0,335,336,5, - 36,0,0,336,337,3,34,17,0,337,338,5,38,0,0,338,339,6,20,-1,0,339,801,1, - 0,0,0,340,341,5,39,0,0,341,342,3,36,18,0,342,343,5,40,0,0,343,344,6,20, - -1,0,344,801,1,0,0,0,345,346,5,36,0,0,346,347,3,36,18,0,347,348,5,40,0, - 0,348,349,6,20,-1,0,349,801,1,0,0,0,350,351,5,36,0,0,351,352,3,36,18,0, - 352,353,5,38,0,0,353,354,6,20,-1,0,354,801,1,0,0,0,355,356,5,39,0,0,356, - 357,3,36,18,0,357,358,5,38,0,0,358,359,6,20,-1,0,359,801,1,0,0,0,360,361, - 5,39,0,0,361,362,3,32,16,0,362,363,5,40,0,0,363,364,6,20,-1,0,364,801, - 1,0,0,0,365,366,5,41,0,0,366,367,3,38,19,0,367,368,5,42,0,0,368,369,6, - 20,-1,0,369,801,1,0,0,0,370,371,5,41,0,0,371,372,3,34,17,0,372,373,5,42, - 0,0,373,374,6,20,-1,0,374,801,1,0,0,0,375,376,5,43,0,0,376,377,3,34,17, - 0,377,378,5,40,0,0,378,379,6,20,-1,0,379,801,1,0,0,0,380,381,5,44,0,0, - 381,382,3,34,17,0,382,383,5,40,0,0,383,384,6,20,-1,0,384,801,1,0,0,0,385, - 386,5,45,0,0,386,387,3,34,17,0,387,388,5,40,0,0,388,389,6,20,-1,0,389, - 801,1,0,0,0,390,391,5,46,0,0,391,392,3,34,17,0,392,393,5,40,0,0,393,394, - 6,20,-1,0,394,801,1,0,0,0,395,396,5,47,0,0,396,397,3,34,17,0,397,398,5, - 40,0,0,398,399,6,20,-1,0,399,801,1,0,0,0,400,401,5,48,0,0,401,402,3,34, - 17,0,402,403,5,40,0,0,403,404,6,20,-1,0,404,801,1,0,0,0,405,406,5,49,0, - 0,406,407,3,34,17,0,407,408,5,40,0,0,408,409,6,20,-1,0,409,801,1,0,0,0, - 410,411,5,50,0,0,411,412,3,34,17,0,412,413,5,40,0,0,413,414,6,20,-1,0, - 414,801,1,0,0,0,415,416,5,51,0,0,416,417,3,34,17,0,417,418,5,40,0,0,418, - 419,6,20,-1,0,419,801,1,0,0,0,420,421,5,52,0,0,421,422,3,34,17,0,422,423, - 5,40,0,0,423,424,6,20,-1,0,424,801,1,0,0,0,425,426,5,53,0,0,426,427,3, - 34,17,0,427,428,5,40,0,0,428,429,6,20,-1,0,429,801,1,0,0,0,430,431,5,54, - 0,0,431,432,3,34,17,0,432,433,5,40,0,0,433,434,6,20,-1,0,434,801,1,0,0, - 0,435,436,5,55,0,0,436,437,3,34,17,0,437,438,5,40,0,0,438,439,6,20,-1, - 0,439,801,1,0,0,0,440,441,5,56,0,0,441,442,3,34,17,0,442,443,5,40,0,0, - 443,444,6,20,-1,0,444,801,1,0,0,0,445,446,5,57,0,0,446,447,3,34,17,0,447, - 448,5,40,0,0,448,449,6,20,-1,0,449,801,1,0,0,0,450,451,5,58,0,0,451,452, - 3,34,17,0,452,453,5,40,0,0,453,454,6,20,-1,0,454,801,1,0,0,0,455,456,5, - 59,0,0,456,457,3,34,17,0,457,458,5,40,0,0,458,459,6,20,-1,0,459,801,1, - 0,0,0,460,461,5,60,0,0,461,462,3,34,17,0,462,463,5,40,0,0,463,464,6,20, - -1,0,464,801,1,0,0,0,465,466,5,61,0,0,466,467,3,34,17,0,467,468,5,40,0, - 0,468,469,6,20,-1,0,469,801,1,0,0,0,470,471,5,62,0,0,471,472,3,34,17,0, - 472,473,5,40,0,0,473,474,6,20,-1,0,474,801,1,0,0,0,475,476,5,63,0,0,476, - 477,3,34,17,0,477,478,5,40,0,0,478,479,6,20,-1,0,479,801,1,0,0,0,480,481, - 5,64,0,0,481,482,3,34,17,0,482,483,5,40,0,0,483,484,6,20,-1,0,484,801, - 1,0,0,0,485,486,5,65,0,0,486,487,3,34,17,0,487,488,5,40,0,0,488,489,6, - 20,-1,0,489,801,1,0,0,0,490,491,5,66,0,0,491,492,3,34,17,0,492,493,5,40, - 0,0,493,494,6,20,-1,0,494,801,1,0,0,0,495,496,5,67,0,0,496,497,3,34,17, - 0,497,498,5,40,0,0,498,499,6,20,-1,0,499,801,1,0,0,0,500,501,5,68,0,0, - 501,502,3,34,17,0,502,503,5,40,0,0,503,504,6,20,-1,0,504,801,1,0,0,0,505, - 506,5,69,0,0,506,507,3,34,17,0,507,508,5,40,0,0,508,509,6,20,-1,0,509, - 801,1,0,0,0,510,511,5,70,0,0,511,512,3,34,17,0,512,513,5,40,0,0,513,514, - 6,20,-1,0,514,801,1,0,0,0,515,516,5,71,0,0,516,517,3,34,17,0,517,518,5, - 40,0,0,518,519,6,20,-1,0,519,801,1,0,0,0,520,521,5,72,0,0,521,522,3,34, - 17,0,522,523,5,40,0,0,523,524,6,20,-1,0,524,801,1,0,0,0,525,526,5,73,0, - 0,526,527,3,34,17,0,527,528,5,40,0,0,528,529,6,20,-1,0,529,801,1,0,0,0, - 530,531,5,74,0,0,531,532,3,34,17,0,532,533,5,40,0,0,533,534,6,20,-1,0, - 534,801,1,0,0,0,535,536,5,75,0,0,536,537,3,34,17,0,537,538,5,40,0,0,538, - 539,6,20,-1,0,539,801,1,0,0,0,540,541,5,76,0,0,541,542,3,34,17,0,542,543, - 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0,603,805,1,0,0,0,604,605,5,89,0,0,605,606,3,34,17,0,606,607,5,41,0,0, + 607,608,6,20,-1,0,608,805,1,0,0,0,609,610,5,90,0,0,610,611,3,34,17,0,611, + 612,5,41,0,0,612,613,6,20,-1,0,613,805,1,0,0,0,614,615,5,91,0,0,615,616, + 3,34,17,0,616,617,5,41,0,0,617,618,6,20,-1,0,618,805,1,0,0,0,619,620,5, + 92,0,0,620,621,3,34,17,0,621,622,5,41,0,0,622,623,6,20,-1,0,623,805,1, + 0,0,0,624,625,5,93,0,0,625,626,3,34,17,0,626,627,5,41,0,0,627,628,6,20, + -1,0,628,805,1,0,0,0,629,630,5,94,0,0,630,631,3,34,17,0,631,632,5,41,0, + 0,632,633,6,20,-1,0,633,805,1,0,0,0,634,635,5,95,0,0,635,636,3,34,17,0, + 636,637,5,41,0,0,637,638,6,20,-1,0,638,805,1,0,0,0,639,640,5,96,0,0,640, + 641,3,34,17,0,641,642,5,41,0,0,642,643,6,20,-1,0,643,805,1,0,0,0,644,645, + 5,97,0,0,645,646,3,34,17,0,646,647,5,41,0,0,647,648,6,20,-1,0,648,805, + 1,0,0,0,649,650,5,98,0,0,650,651,3,34,17,0,651,652,5,41,0,0,652,653,6, + 20,-1,0,653,805,1,0,0,0,654,655,5,99,0,0,655,656,3,34,17,0,656,657,5,41, + 0,0,657,658,6,20,-1,0,658,805,1,0,0,0,659,660,5,100,0,0,660,661,3,34,17, + 0,661,662,5,41,0,0,662,663,6,20,-1,0,663,805,1,0,0,0,664,665,5,101,0,0, + 665,666,3,34,17,0,666,667,5,41,0,0,667,668,6,20,-1,0,668,805,1,0,0,0,669, + 670,5,102,0,0,670,671,3,34,17,0,671,672,5,41,0,0,672,673,6,20,-1,0,673, + 805,1,0,0,0,674,675,5,103,0,0,675,676,3,34,17,0,676,677,5,41,0,0,677,678, + 6,20,-1,0,678,805,1,0,0,0,679,680,5,104,0,0,680,681,3,34,17,0,681,682, + 5,41,0,0,682,683,6,20,-1,0,683,805,1,0,0,0,684,685,5,105,0,0,685,686,3, + 34,17,0,686,687,5,41,0,0,687,688,6,20,-1,0,688,805,1,0,0,0,689,690,5,106, + 0,0,690,691,3,34,17,0,691,692,5,41,0,0,692,693,6,20,-1,0,693,805,1,0,0, + 0,694,695,5,107,0,0,695,696,3,34,17,0,696,697,5,41,0,0,697,698,6,20,-1, + 0,698,805,1,0,0,0,699,700,5,108,0,0,700,701,3,34,17,0,701,702,5,41,0,0, + 702,703,6,20,-1,0,703,805,1,0,0,0,704,705,5,109,0,0,705,706,3,34,17,0, + 706,707,5,41,0,0,707,708,6,20,-1,0,708,805,1,0,0,0,709,710,5,110,0,0,710, + 711,3,34,17,0,711,712,5,41,0,0,712,713,6,20,-1,0,713,805,1,0,0,0,714,715, + 5,111,0,0,715,716,3,34,17,0,716,717,5,41,0,0,717,718,6,20,-1,0,718,805, + 1,0,0,0,719,720,5,112,0,0,720,721,3,34,17,0,721,722,5,41,0,0,722,723,6, + 20,-1,0,723,805,1,0,0,0,724,725,5,113,0,0,725,726,3,34,17,0,726,727,5, + 41,0,0,727,728,6,20,-1,0,728,805,1,0,0,0,729,730,5,114,0,0,730,731,3,34, + 17,0,731,732,5,41,0,0,732,733,6,20,-1,0,733,805,1,0,0,0,734,735,5,115, + 0,0,735,736,3,34,17,0,736,737,5,41,0,0,737,738,6,20,-1,0,738,805,1,0,0, + 0,739,740,5,116,0,0,740,741,3,34,17,0,741,742,5,41,0,0,742,743,6,20,-1, + 0,743,805,1,0,0,0,744,745,5,117,0,0,745,746,3,34,17,0,746,747,5,41,0,0, + 747,748,6,20,-1,0,748,805,1,0,0,0,749,750,5,118,0,0,750,751,3,34,17,0, + 751,752,5,41,0,0,752,753,6,20,-1,0,753,805,1,0,0,0,754,755,5,119,0,0,755, + 756,3,34,17,0,756,757,5,41,0,0,757,758,6,20,-1,0,758,805,1,0,0,0,759,760, + 5,120,0,0,760,761,3,34,17,0,761,762,5,41,0,0,762,763,6,20,-1,0,763,805, + 1,0,0,0,764,765,5,121,0,0,765,766,3,34,17,0,766,767,5,41,0,0,767,768,6, + 20,-1,0,768,805,1,0,0,0,769,770,5,122,0,0,770,771,3,34,17,0,771,772,5, + 41,0,0,772,773,6,20,-1,0,773,805,1,0,0,0,774,775,5,123,0,0,775,776,3,34, + 17,0,776,777,5,41,0,0,777,778,6,20,-1,0,778,805,1,0,0,0,779,780,5,124, + 0,0,780,781,3,34,17,0,781,782,5,41,0,0,782,783,6,20,-1,0,783,805,1,0,0, + 0,784,785,5,125,0,0,785,786,3,34,17,0,786,787,5,41,0,0,787,788,6,20,-1, + 0,788,805,1,0,0,0,789,790,5,126,0,0,790,791,3,34,17,0,791,792,5,41,0,0, + 792,793,6,20,-1,0,793,805,1,0,0,0,794,795,5,127,0,0,795,796,3,34,17,0, + 796,797,5,41,0,0,797,798,6,20,-1,0,798,805,1,0,0,0,799,800,5,128,0,0,800, + 801,3,34,17,0,801,802,5,41,0,0,802,803,6,20,-1,0,803,805,1,0,0,0,804,317, + 1,0,0,0,804,319,1,0,0,0,804,321,1,0,0,0,804,323,1,0,0,0,804,325,1,0,0, + 0,804,327,1,0,0,0,804,329,1,0,0,0,804,334,1,0,0,0,804,339,1,0,0,0,804, + 344,1,0,0,0,804,349,1,0,0,0,804,354,1,0,0,0,804,359,1,0,0,0,804,364,1, + 0,0,0,804,369,1,0,0,0,804,374,1,0,0,0,804,379,1,0,0,0,804,384,1,0,0,0, + 804,389,1,0,0,0,804,394,1,0,0,0,804,399,1,0,0,0,804,404,1,0,0,0,804,409, + 1,0,0,0,804,414,1,0,0,0,804,419,1,0,0,0,804,424,1,0,0,0,804,429,1,0,0, + 0,804,434,1,0,0,0,804,439,1,0,0,0,804,444,1,0,0,0,804,449,1,0,0,0,804, + 454,1,0,0,0,804,459,1,0,0,0,804,464,1,0,0,0,804,469,1,0,0,0,804,474,1, + 0,0,0,804,479,1,0,0,0,804,484,1,0,0,0,804,489,1,0,0,0,804,494,1,0,0,0, + 804,499,1,0,0,0,804,504,1,0,0,0,804,509,1,0,0,0,804,514,1,0,0,0,804,519, + 1,0,0,0,804,524,1,0,0,0,804,529,1,0,0,0,804,534,1,0,0,0,804,539,1,0,0, + 0,804,544,1,0,0,0,804,549,1,0,0,0,804,554,1,0,0,0,804,559,1,0,0,0,804, + 564,1,0,0,0,804,569,1,0,0,0,804,574,1,0,0,0,804,579,1,0,0,0,804,584,1, + 0,0,0,804,589,1,0,0,0,804,594,1,0,0,0,804,599,1,0,0,0,804,604,1,0,0,0, + 804,609,1,0,0,0,804,614,1,0,0,0,804,619,1,0,0,0,804,624,1,0,0,0,804,629, + 1,0,0,0,804,634,1,0,0,0,804,639,1,0,0,0,804,644,1,0,0,0,804,649,1,0,0, + 0,804,654,1,0,0,0,804,659,1,0,0,0,804,664,1,0,0,0,804,669,1,0,0,0,804, + 674,1,0,0,0,804,679,1,0,0,0,804,684,1,0,0,0,804,689,1,0,0,0,804,694,1, + 0,0,0,804,699,1,0,0,0,804,704,1,0,0,0,804,709,1,0,0,0,804,714,1,0,0,0, + 804,719,1,0,0,0,804,724,1,0,0,0,804,729,1,0,0,0,804,734,1,0,0,0,804,739, + 1,0,0,0,804,744,1,0,0,0,804,749,1,0,0,0,804,754,1,0,0,0,804,759,1,0,0, + 0,804,764,1,0,0,0,804,769,1,0,0,0,804,774,1,0,0,0,804,779,1,0,0,0,804, + 784,1,0,0,0,804,789,1,0,0,0,804,794,1,0,0,0,804,799,1,0,0,0,805,41,1,0, + 0,0,806,807,3,32,16,0,807,808,5,0,0,1,808,809,6,21,-1,0,809,43,1,0,0,0, + 31,51,59,67,69,76,86,96,101,117,119,132,134,147,149,170,172,183,200,207, + 223,235,237,248,261,263,276,278,287,300,303,804 }; public static readonly ATN _ATN = diff --git a/Sources/AngouriMath/Core/Domains.Classes.cs b/Sources/AngouriMath/Core/Domains.Classes.cs index a6a4d3ac5..f3cd6f220 100644 --- a/Sources/AngouriMath/Core/Domains.Classes.cs +++ b/Sources/AngouriMath/Core/Domains.Classes.cs @@ -74,6 +74,12 @@ partial record Divf public override Domain Codomain { get; protected init; } = Domain.Complex; } + partial record Modf + { + /// + public override Domain Codomain { get; protected init; } = Domain.Real; + } + partial record Sinf { /// diff --git a/Sources/AngouriMath/Core/Entity/Continuous/Entity.Continuous.Definition.cs b/Sources/AngouriMath/Core/Entity/Continuous/Entity.Continuous.Definition.cs index 76b8e37da..7079d8873 100644 --- a/Sources/AngouriMath/Core/Entity/Continuous/Entity.Continuous.Definition.cs +++ b/Sources/AngouriMath/Core/Entity/Continuous/Entity.Continuous.Definition.cs @@ -79,6 +79,16 @@ public abstract partial record CalculusOperator(Entity Expression, Entity Var) : /// The right node to add public static Entity operator /(Entity dividend, Entity divisor) => new Divf(dividend, divisor); + /// + /// Hangs two nodes to a Mod node (i. e. building an expression) + /// + /// The left node, whose remainder is taken + /// The right node, the one divided by + public static Entity operator %(Entity dividend, Entity divisor) => new Modf(dividend, divisor); + + /// + public Entity Mod(Entity divisor) => new Modf(this, divisor); + /// public Entity Sin() => new Sinf(this); /// diff --git a/Sources/AngouriMath/Core/Entity/Continuous/Entity.Continuous.Operators.Classes.cs b/Sources/AngouriMath/Core/Entity/Continuous/Entity.Continuous.Operators.Classes.cs index c1803eadf..fe46c5258 100644 --- a/Sources/AngouriMath/Core/Entity/Continuous/Entity.Continuous.Operators.Classes.cs +++ b/Sources/AngouriMath/Core/Entity/Continuous/Entity.Continuous.Operators.Classes.cs @@ -141,6 +141,29 @@ internal Divf New(Entity dividend, Entity divisor) => /// protected override Entity[] InitDirectChildren() => new[] { Dividend, Divisor }; } + + /// + /// A node of modulus, that is, the remainder after division. Follows the sign of + /// the dividend, as C#'s own % does and as + /// PeterO.Numbers does underneath: -7 % 3 is -1, + /// not 2. + /// + public sealed partial record Modf(Entity Dividend, Entity Divisor) : ContinuousNode, IBinaryNode + { + /// Reuse the cache by returning the same object if possible + internal Modf New(Entity dividend, Entity divisor) => + ReferenceEquals(Dividend, dividend) && ReferenceEquals(Divisor, divisor) ? this : new(dividend, divisor); + internal override Priority Priority => Priority.Mul; + + public Entity NodeFirstChild => Dividend; + + public Entity NodeSecondChild => Divisor; + + /// + public override Entity Replace(Func func) => func(New(Dividend.Replace(func), Divisor.Replace(func))); + /// + protected override Entity[] InitDirectChildren() => new[] { Dividend, Divisor }; + } #pragma warning restore CS1591 // only while records' parameters cannot be documented } } diff --git a/Sources/AngouriMath/Functions/Compilation/IntoFE/Compiler.cs b/Sources/AngouriMath/Functions/Compilation/IntoFE/Compiler.cs index e891d2d56..69f59a205 100644 --- a/Sources/AngouriMath/Functions/Compilation/IntoFE/Compiler.cs +++ b/Sources/AngouriMath/Functions/Compilation/IntoFE/Compiler.cs @@ -109,6 +109,16 @@ private protected override void CompileNode(Compiler compiler) } } + public partial record Modf + { + private protected override void CompileNode(Compiler compiler) + { + Divisor.InnerCompile(compiler); + Dividend.InnerCompile(compiler); + compiler.Instructions.Add(new(InstructionType.CALL_MOD)); + } + } + public partial record Powf { private protected override void CompileNode(Compiler compiler) diff --git a/Sources/AngouriMath/Functions/Compilation/IntoFE/FastExpression.cs b/Sources/AngouriMath/Functions/Compilation/IntoFE/FastExpression.cs index c3ac7ba75..80c0a4c24 100644 --- a/Sources/AngouriMath/Functions/Compilation/IntoFE/FastExpression.cs +++ b/Sources/AngouriMath/Functions/Compilation/IntoFE/FastExpression.cs @@ -43,6 +43,7 @@ internal enum InstructionType CALL_MINUS, CALL_MUL, CALL_DIV, + CALL_MOD, CALL_POW, CALL_LOG, } @@ -141,6 +142,9 @@ public System.Numerics.Complex Substitute(params System.Numerics.Complex[] value case InstructionType.CALL_DIV: stack.Push(stack.Pop() / stack.Pop()); break; + case InstructionType.CALL_MOD: + stack.Push(Core.Compilation.RealOnly.Mod(stack.Pop(), stack.Pop())); + break; case InstructionType.CALL_POW: stack.Push(System.Numerics.Complex.Pow(stack.Pop(), stack.Pop())); break; diff --git a/Sources/AngouriMath/Functions/Compilation/IntoLinq/CompilationProtocol.cs b/Sources/AngouriMath/Functions/Compilation/IntoLinq/CompilationProtocol.cs index abd6e8496..d3c864f48 100644 --- a/Sources/AngouriMath/Functions/Compilation/IntoLinq/CompilationProtocol.cs +++ b/Sources/AngouriMath/Functions/Compilation/IntoLinq/CompilationProtocol.cs @@ -193,6 +193,10 @@ public virtual Expression ConvertBinaryNode(Expression left, Expression right, E Minusf => Expression.Subtract(left, right), Mulf => Expression.Multiply(left, right), Divf => Expression.Divide(ShouldBeAtLeastDouble(left), ShouldBeAtLeastDouble(right)), + // Not widened to double the way division is: the remainder of two integers is + // an integer, and widening it would only lose that. The sign convention is the + // one the runtime already has, which is the one the interpreter uses too. + Modf => Expression.Modulo(left, right), Powf when ShouldBeAtLeastDouble(left) is var newLeft && ShouldBeAtLeastDouble(right) is var newRight diff --git a/Sources/AngouriMath/Functions/Compilation/RealOnly.cs b/Sources/AngouriMath/Functions/Compilation/RealOnly.cs new file mode 100644 index 000000000..e742f21ea --- /dev/null +++ b/Sources/AngouriMath/Functions/Compilation/RealOnly.cs @@ -0,0 +1,37 @@ +// +// Copyright (c) 2019-2022 Angouri. +// AngouriMath is licensed under MIT. +// Details: https://github.com/asc-community/AngouriMath/blob/master/LICENSE.md. +// Website: https://am.angouri.org. +// + +using NumericsComplex = System.Numerics.Complex; + +namespace AngouriMath.Core.Compilation +{ + /// + /// The operations that are defined on the reals and not on the complex numbers, for the + /// compiler that carries every value as a whether it + /// is real or not. + /// + internal static class RealOnly + { + /// + /// The remainder of one number by another, or NaN where either of them is not real. + /// + /// + /// There is no one remainder of a complex number by another: which multiple of the + /// divisor to subtract is a choice, and the two usual ones -- rounding the quotient to + /// the nearest Gaussian integer, or truncating it -- disagree. The interpreter declines + /// the question and leaves a % b unevaluated; the compiled path has no way to + /// return an unevaluated node, so it answers NaN, which says the same thing. + /// + /// For real arguments this is the runtime's own %, and so takes the sign of the + /// dividend, which is what does as well. + /// + public static NumericsComplex Mod(NumericsComplex a, NumericsComplex b) + => a.Imaginary is not 0 || b.Imaginary is not 0 + ? new NumericsComplex(double.NaN, double.NaN) + : new NumericsComplex(a.Real % b.Real, 0); + } +} diff --git a/Sources/AngouriMath/Functions/Continuous/Differentiation.cs b/Sources/AngouriMath/Functions/Continuous/Differentiation.cs index d9e2b4729..6af8a1ae2 100644 --- a/Sources/AngouriMath/Functions/Continuous/Differentiation.cs +++ b/Sources/AngouriMath/Functions/Continuous/Differentiation.cs @@ -132,6 +132,21 @@ protected override Entity InnerDifferentiate(Variable variable) => (Dividend.InnerDifferentiate(variable) * Divisor - Divisor.InnerDifferentiate(variable) * Dividend) / Divisor.Pow(2); } + partial record Modf + { + // a % b is a - b * floor(a / b), so away from the jumps its derivative is + // a' - b' * floor(a / b) -- and where b is constant that is simply a'. At a + // multiple of the divisor it is not differentiable at all, which is why the + // general case is left alone rather than answered with the piecewise-constant + // formula: floor is not a node this library has, so writing the general case + // would mean writing something that is wrong at the jumps. + /// + protected override Entity InnerDifferentiate(Variable variable) => + Divisor.ContainsNode(variable) + ? new Derivativef(this, variable, 1) + : Dividend.InnerDifferentiate(variable); + } + partial record Powf { // (a ^ b)' = e ^ (ln(a) * b) * (a' * b / a + ln(a) * b') diff --git a/Sources/AngouriMath/Functions/Continuous/Limits/Solvers/Limit.Classes.cs b/Sources/AngouriMath/Functions/Continuous/Limits/Solvers/Limit.Classes.cs index 6ab6be282..3cb0ef344 100644 --- a/Sources/AngouriMath/Functions/Continuous/Limits/Solvers/Limit.Classes.cs +++ b/Sources/AngouriMath/Functions/Continuous/Limits/Solvers/Limit.Classes.cs @@ -107,6 +107,32 @@ partial record Divf } } + partial record Modf + { + internal override Entity? ComputeLimitDivideEtImpera(Variable x, Entity dist, ApproachFrom side) + { + if (Dividend.ComputeLimitDivideEtImpera(x, dist, side) is not { } dividend + || Divisor.ComputeLimitDivideEtImpera(x, dist, side) is not { } divisor) + return null; + var substituted = New(dividend, divisor); + if (substituted.Evaled is not Number { IsFinite: true } value) + return null; + // The remainder is continuous except where the dividend reaches a non-zero + // multiple of the divisor, and there it jumps: x % 3 tends to 3 approaching 3 + // from the left and to 0 from the right. Which of the two a one-sided limit + // takes depends on the direction the dividend crosses in, not only on what it + // tends to, so the jumps are left unanswered rather than answered with the + // value at the point -- that value is one of the two one-sided limits and not + // the other, and is no two-sided limit at all. + // + // Zero is not one of those points: the remainder takes the sign of the dividend, + // so x % 3 is x on either side of 0 and passes through it continuously. + if (value == 0 && dividend.Evaled != 0) + return null; + return substituted; + } + } + partial record Sinf { internal override Entity? ComputeLimitDivideEtImpera(Variable x, Entity dist, ApproachFrom side) => diff --git a/Sources/AngouriMath/Functions/Continuous/Solvers/EquationSolver/InvertNode.Classes.cs b/Sources/AngouriMath/Functions/Continuous/Solvers/EquationSolver/InvertNode.Classes.cs index ec3b31479..00993e048 100644 --- a/Sources/AngouriMath/Functions/Continuous/Solvers/EquationSolver/InvertNode.Classes.cs +++ b/Sources/AngouriMath/Functions/Continuous/Solvers/EquationSolver/InvertNode.Classes.cs @@ -67,6 +67,15 @@ private protected override IEnumerable InvertNode(Entity value, Entity x : Divisor.Invert(Dividend / value, x); } + partial record Modf + { + // x % a = value has one solution per period, so inverting it means introducing + // an integer parameter the way the trigonometric inversions do. Until that is + // written, no solutions is the honest answer -- a wrong one would be worse. + private protected override IEnumerable InvertNode(Entity value, Entity x) + => Enumerable.Empty(); + } + partial record Powf { private protected override IEnumerable InvertNode(Entity value, Entity x) diff --git a/Sources/AngouriMath/Functions/Evaluation/Evaluation.Continuous/Evaluation.Continuous.Arithmetics.Classes.cs b/Sources/AngouriMath/Functions/Evaluation/Evaluation.Continuous/Evaluation.Continuous.Arithmetics.Classes.cs index e90437497..e4b6d4e6d 100644 --- a/Sources/AngouriMath/Functions/Evaluation/Evaluation.Continuous/Evaluation.Continuous.Arithmetics.Classes.cs +++ b/Sources/AngouriMath/Functions/Evaluation/Evaluation.Continuous/Evaluation.Continuous.Arithmetics.Classes.cs @@ -100,6 +100,35 @@ n0.Evaled is Complex c }, (@this, a, b) => ((Divf)@this).New(a, b), isExact); } + public partial record Modf + { + // Like division, undefined when the divisor is zero + private protected override Entity IntrinsicCondition => !Divisor.EqualTo(0); + + /// + protected override Entity InnerSimplify(bool isExact) => + ExpandOnTwoArguments(Dividend, Divisor, + (a, b) => (a, b) switch + { + (_, Integer(0)) => Real.NaN, + // Only for reals: the remainder of a complex number by another is not + // one thing, and guessing at it would be worse than leaving it alone. + (Real n1, Real n2) when !isExact => n1 % n2, + (Integer(0), var n0) => + n0.Evaled is Complex c + ? c.IsZero ? MathS.NaN : 0 + : new Providedf(0, new Notf(new Equalsf(n0, 0))), + (var n1, Integer(1)) when n1.Evaled is Integer => 0, + // a % a = 0 wherever a % a means anything at all, which is wherever a is + // not zero -- and where it is, the whole node is undefined in any case. + (var n1, var n2) when n1 == n2 => new Providedf(0, new Notf(new Equalsf(n2, 0))), + // (a % b) % b = a % b: the first remainder already lies strictly between + // -|b| and |b|, so taking it again changes nothing. + (Modf(_, var inner) whole, var n2) when inner == n2 => whole, + _ => null + }, + (@this, a, b) => ((Modf)@this).New(a, b), isExact); + } public partial record Powf { // Power is undefined in two cases: diff --git a/Sources/AngouriMath/Functions/Output/Latex/Latex.Arithmetics.Classes.cs b/Sources/AngouriMath/Functions/Output/Latex/Latex.Arithmetics.Classes.cs index 824d27703..47f354f20 100644 --- a/Sources/AngouriMath/Functions/Output/Latex/Latex.Arithmetics.Classes.cs +++ b/Sources/AngouriMath/Functions/Output/Latex/Latex.Arithmetics.Classes.cs @@ -94,6 +94,13 @@ public override string Latexise() => @"\frac{" + Dividend.Latexise() + "}{" + Divisor.Latexise() + "}"; } + public partial record Modf + { + /// + public override string Latexise() => + Dividend.Latexise(Dividend.Priority < Priority) + @" \bmod " + Divisor.Latexise(Divisor.Priority <= Priority); + } + public partial record Logf { /// diff --git a/Sources/AngouriMath/Functions/Output/ToString/ToString.Arithmetics.Classes.cs b/Sources/AngouriMath/Functions/Output/ToString/ToString.Arithmetics.Classes.cs index 1e472e229..3bd8a5f95 100644 --- a/Sources/AngouriMath/Functions/Output/ToString/ToString.Arithmetics.Classes.cs +++ b/Sources/AngouriMath/Functions/Output/ToString/ToString.Arithmetics.Classes.cs @@ -47,6 +47,15 @@ public override string Stringize() => public override string ToString() => Stringize(); } + public partial record Modf + { + /// + public override string Stringize() => + Dividend.Stringize(Dividend.Priority < Priority) + " % " + Divisor.Stringize(Divisor.Priority <= Priority); + /// + public override string ToString() => Stringize(); + } + public partial record Logf { /// diff --git a/Sources/AngouriMath/Functions/Output/ToSympy/ToSympy.Arithmetics.Classes.cs b/Sources/AngouriMath/Functions/Output/ToSympy/ToSympy.Arithmetics.Classes.cs index e7ac6ebb8..7079c1544 100644 --- a/Sources/AngouriMath/Functions/Output/ToSympy/ToSympy.Arithmetics.Classes.cs +++ b/Sources/AngouriMath/Functions/Output/ToSympy/ToSympy.Arithmetics.Classes.cs @@ -33,6 +33,12 @@ internal override string ToSymPy() => Dividend.ToSymPy(Dividend.Priority < Priority.Div) + " / " + Divisor.ToSymPy(Divisor.Priority <= Priority.Div); } + public partial record Modf + { + internal override string ToSymPy() => + "sympy.Mod(" + Dividend.ToSymPy() + ", " + Divisor.ToSymPy() + ")"; + } + public partial record Logf { internal override string ToSymPy() => "sympy.log(" + Antilogarithm.ToSymPy() + ", " + Base.ToSymPy() + ")"; diff --git a/Sources/AngouriMath/Functions/Substitute.cs b/Sources/AngouriMath/Functions/Substitute.cs index 8893f079d..7d9ed6c48 100644 --- a/Sources/AngouriMath/Functions/Substitute.cs +++ b/Sources/AngouriMath/Functions/Substitute.cs @@ -46,6 +46,13 @@ public override Entity Substitute(Entity x, Entity value) => this == x ? value : New(Dividend.Substitute(x, value), Divisor.Substitute(x, value)); } + partial record Modf + { + /// + public override Entity Substitute(Entity x, Entity value) + => this == x ? value : New(Dividend.Substitute(x, value), Divisor.Substitute(x, value)); + } + partial record Sinf { /// diff --git a/Sources/AngouriMath/Functions/TreeAnalyzer/Sort.Classes.cs b/Sources/AngouriMath/Functions/TreeAnalyzer/Sort.Classes.cs index 348b33637..9e682a28c 100644 --- a/Sources/AngouriMath/Functions/TreeAnalyzer/Sort.Classes.cs +++ b/Sources/AngouriMath/Functions/TreeAnalyzer/Sort.Classes.cs @@ -81,6 +81,12 @@ private protected override string SortHashName(SortLevel level) => Choice(level, "", "divmul_", "div_"); } + public partial record Modf + { + private protected override string SortHashName(SortLevel level) + => Choice(level, "", "divmul_", "mod_"); + } + public partial record Powf { private protected override string SortHashName(SortLevel level) diff --git a/Sources/Tests/FSharpWrapperUnitTests/Functions.Continuous.fs b/Sources/Tests/FSharpWrapperUnitTests/Functions.Continuous.fs index 8712d26ae..a9451a572 100644 --- a/Sources/Tests/FSharpWrapperUnitTests/Functions.Continuous.fs +++ b/Sources/Tests/FSharpWrapperUnitTests/Functions.Continuous.fs @@ -71,4 +71,13 @@ let ``Cos test exact`` () = Assert.Equal(parsed "1", cos 0) [] let ``Tan test exact`` () = Assert.Equal(parsed "0", tan 0) [] -let ``Sqrt test exact`` () = Assert.Equal(parsed "22", sqrt 484) \ No newline at end of file +let ``Sqrt test exact`` () = Assert.Equal(parsed "22", sqrt 484) +// https://github.com/asc-community/AngouriMath/issues/402 asks for the % operator here as +// well. It needs nothing of its own: F# resolves % through op_Modulus, which is what the +// operator on Entity compiles to, so the kernel's node is what an F# % builds. +[] +let ``Mod operator test`` () = Assert.Equal(parsed "x % 3", x % (parsed 3)) +[] +let ``Mod operator evaluates`` () = Assert.Equal(parsed 1, (parsed 7 % parsed 3).Evaled) +[] +let ``Mod operator follows the dividend's sign`` () = Assert.Equal(parsed -1, (parsed -7 % parsed 3).Evaled) diff --git a/Sources/Tests/UnitTests/Convenience/ModulusTest.cs b/Sources/Tests/UnitTests/Convenience/ModulusTest.cs new file mode 100644 index 000000000..14363d792 --- /dev/null +++ b/Sources/Tests/UnitTests/Convenience/ModulusTest.cs @@ -0,0 +1,196 @@ +// +// Copyright (c) 2019-2022 Angouri. +// AngouriMath is licensed under MIT. +// Details: https://github.com/asc-community/AngouriMath/blob/master/LICENSE.md. +// Website: https://am.angouri.org. +// + +using AngouriMath; +using AngouriMath.Core; +using AngouriMath.Core.Exceptions; +using AngouriMath.Extensions; +using System; +using System.Numerics; +using Xunit; + +namespace AngouriMath.Tests.Convenience +{ + /// + /// The remainder after division, asked for by + /// https://github.com/asc-community/AngouriMath/issues/402 and + /// https://github.com/asc-community/AngouriMath/issues/618. There was no node for it at + /// all: % was a parse error and MathS.Mod did not exist. + /// + public sealed class ModulusTest + { + private static readonly Entity.Variable x = MathS.Var("x"); + + /// + /// The remainder takes the sign of the dividend -- the truncated convention, which is + /// what C# itself does and what the arbitrary-precision arithmetic underneath does. + /// (-7) % 3 is -1 and not 2, and that has to be pinned, because the Euclidean + /// convention is the other common choice and the two disagree on every negative + /// dividend. + /// + [Theory] + [InlineData("7 % 3", "1")] + [InlineData("(-7) % 3", "-1")] + [InlineData("7 % (-3)", "1")] + [InlineData("(-7) % (-3)", "-1")] + [InlineData("6 % 3", "0")] + [InlineData("2 % 5", "2")] + [InlineData("7.5 % 2", "3/2")] + [InlineData("(1/2) % (1/3)", "1/6")] + public void TheRemainderFollowsTheDividendsSign(string expression, string expected) => + Assert.Equal(expected.ToEntity().Evaled, expression.ToEntity().Evaled); + + /// Dividing by zero is undefined, as it is for the quotient. + [Fact] + public void ByZeroIsUndefined() => + Assert.Equal(MathS.NaN.Evaled, "7 % 0".ToEntity().Evaled); + + /// + /// % binds as tightly as * and /, and associates to the left, which is what it does in + /// C# and what anyone writing the expression will assume. + /// + [Theory] + [InlineData("2 * 7 % 3", 2 * 7 % 3)] + [InlineData("7 % 3 * 2", 7 % 3 * 2)] + [InlineData("12 / 4 % 2", 12 / 4 % 2)] + [InlineData("1 + 7 % 3", 1 + 7 % 3)] + [InlineData("7 % 3 + 1", 7 % 3 + 1)] + [InlineData("2 ^ 3 % 3", 8 % 3)] + [InlineData("-7 % 3", -7 % 3)] + public void ItBindsLikeItDoesInCSharp(string expression, int expected) => + Assert.Equal(Entity.Number.Integer.Create(expected), expression.ToEntity().Evaled); + + [Fact] + public void TheOperatorBuildsTheSameNodeAsTheParser() => + Assert.Equal("x % 3".ToEntity(), x % 3); + + [Fact] + public void MathSModBuildsTheSameNodeAsTheParser() => + Assert.Equal("x % 3".ToEntity(), MathS.Mod(x, 3)); + + [Fact] + public void ItStringizesBackToWhatWasParsed() => + Assert.Equal("x % 3", "x % 3".ToEntity().Stringize()); + + [Fact] + public void ItLatexisesAsBmod() => + Assert.Equal(@"x \bmod 3", "x % 3".ToEntity().Latexise()); + + [Theory] + [InlineData("x % x", "0")] + [InlineData("(x + 1) % (x + 1)", "0")] + [InlineData("0 % x", "0")] + [InlineData("(x % 3) % 3", "x % 3")] + public void TheIdentitiesThatHoldWhereverTheNodeIsDefined(string expression, string expected) + { + var simplified = expression.ToEntity().Simplify(); + // The rewrites carry the condition that the divisor is not zero, which is the + // node's own condition and not something the rewrite introduced. + while (simplified is Entity.Providedf(var inner, _)) simplified = inner; + Assert.Equal(expected.ToEntity(), simplified); + } + + /// + /// x % 1 is 0 only for whole x -- 2.5 % 1 is 0.5 -- so it must not be reduced for a + /// variable that could be anything. + /// + [Fact] + public void ItIsNotReducedWhereTheIdentityDoesNotHold() => + Assert.Equal("x % 1".ToEntity(), "x % 1".ToEntity().Simplify()); + + [Fact] + public void SubstitutionGoesThrough() => + Assert.Equal(Entity.Number.Integer.Create(1), "x % 3".ToEntity().Substitute("x", 10).Evaled); + + /// + /// a % b is a - b * floor(a / b), so where b does not depend on the variable the + /// derivative is the dividend's own, away from the jumps. Where b does depend on it, + /// nothing is claimed: this library has no floor node, so the general case could only + /// be written as something that is wrong at the jumps. + /// + [Theory] + [InlineData("x % 3", "1")] + [InlineData("x ^ 2 % 3", "2 * x")] + public void TheDerivativeIsTheDividendsWhereTheDivisorIsConstant(string expression, string expected) => + Assert.Equal(expected.ToEntity(), expression.ToEntity().Differentiate("x").Simplify()); + + [Fact] + public void TheDerivativeIsLeftAloneWhereTheDivisorMoves() => + Assert.IsType("5 % x".ToEntity().Differentiate("x").Simplify()); + + /// + /// The remainder is continuous except where the dividend reaches a non-zero multiple of + /// the divisor. Zero is not one of those: the remainder takes the dividend's sign, so + /// x % 3 is x on either side of 0. + /// + [Theory] + [InlineData("x % 3", "2", "2")] + [InlineData("x % 3", "0", "0")] + [InlineData("x ^ 2 % 5", "2", "4")] + public void ALimitAtAPointItIsContinuousAtIsTheValueThere(string expression, string destination, string expected) => + Assert.Equal(expected.ToEntity().Evaled, + expression.ToEntity().Limit("x", destination.ToEntity()).Simplify().Evaled); + + /// + /// At a jump there is no two-sided limit, and which one-sided value is taken depends on + /// the direction the dividend crosses in rather than only on what it tends to. Left + /// unevaluated rather than answered with the value at the point, which is one of the two + /// one-sided limits and neither the other nor the two-sided one. It must also terminate: + /// a node with no reading of its own sends the descent back through Limitf's own + /// evaluation, and that is a cycle. + /// + [Theory] + [InlineData("x % 3", "3")] + [InlineData("x % 3", "+oo")] + public void AJumpIsLeftUnevaluatedAndTerminates(string expression, string destination) + { + var task = System.Threading.Tasks.Task.Run( + () => expression.ToEntity().Limit("x", destination.ToEntity()).Simplify()); + Assert.True(task.Wait(TimeSpan.FromSeconds(30)), "the limit did not terminate"); + Assert.IsType(task.Result); + } + + /// + /// Both compilers, against the interpreter. The stack machine carries every value as a + /// complex number, so it answers NaN where the two parts are not real -- the same + /// refusal the interpreter makes by leaving the node alone. + /// + [Theory] + [InlineData(7, 1)] + [InlineData(-7, -1)] + [InlineData(6, 0)] + public void TheStackMachineAgreesWithTheInterpreter(int at, int expected) + { + var compiled = "x % 3".ToEntity().Compile("x"); + Assert.Equal(expected, compiled.Call(new Complex(at, 0)).Real, 9); + } + + [Fact] + public void TheStackMachineRefusesANonRealArgument() => + Assert.True(double.IsNaN("x % 3".ToEntity().Compile("x").Call(new Complex(2, 1)).Real)); + + [Theory] + [InlineData(7, 1)] + [InlineData(-7, -1)] + public void TheLinqCompilerAgreesWithTheInterpreter(int at, int expected) => + Assert.Equal(expected, "x % 3".ToEntity().Compile("x")(at)); + + [Fact] + public void TheLinqCompilerKeepsTheFractionalPart() => + Assert.Equal(1.5, "x % y".ToEntity().Compile("x", "y")(7.5, 2), 9); + + /// + /// x % a = value has one solution per period, so answering it means introducing an + /// integer parameter the way the trigonometric inversions do. Until that is written, no + /// solutions is the honest answer, and a wrong one would be worse. Pinned so that + /// whoever writes it sees this change. + /// + [Fact] + public void SolvingIsNotClaimed() => + Assert.Empty(("x % 3".ToEntity() - 1).SolveEquation("x").DirectChildren); + } +} From 5d66b3b6c95736d726d1dacf57349992e96d3487 Mon Sep 17 00:00:00 2001 From: Rafael Vuijk Date: Tue, 4 Aug 2026 21:33:50 +0000 Subject: [PATCH 2/2] Take the mathematician's mod, and write it out Two corrections from review, both of which the AGENTS.md rule decides against what was here: mathematical convention outranks the programming one. The remainder now takes the sign of the divisor -- the floored a - b*floor(a/b) -- so (-7) mod 3 is 2 and 7 mod (-3) is -2. This is the convention under which the residues modulo n are the numbers from 0 to n - 1, which is the point of the operation in number theory, and it is what the other systems answer: SymPy, Mathematica and Maxima all give 2. Checked against SymPy 1.14 on all four sign pairs rather than asserted. The truncated convention that was here is C's, and C's % is an operation on machine integers. Both compilers follow. The stack machine converts by adding one divisor where the signs disagree; the Linq compiler emits ((a % b) + b) % b, which is the shortest expression that turns the runtime's truncation into the floored answer for every pair of signs. The parser now spells it `mod`, and `%` is left alone so that it stays free to mean percent, which is what it means in mathematical writing. The stringizer follows, so the round trip holds. The C# and F# `%` operator on Entity stays -- it is the language's operator over a different type, and #402 asks for it -- and says in its documentation that it is not int's. Suite 4504 passed, 0 failed. --- Sources/AngouriMath/Convenience/MathS.cs | 13 +- Sources/AngouriMath/Core/Antlr/AngouriMath.g | 2 +- .../AngouriMath/Core/Antlr/AngouriMath.interp | 2 +- .../AngouriMath/Core/Antlr/AngouriMath.tokens | 2 +- .../Core/Antlr/AngouriMathLexer.cs | 740 +++++++++--------- .../Core/Antlr/AngouriMathLexer.interp | 4 +- .../Core/Antlr/AngouriMathLexer.tokens | 2 +- .../Core/Antlr/AngouriMathParser.cs | 2 +- .../Entity.Continuous.Definition.cs | 4 +- .../IntoLinq/CompilationProtocol.cs | 10 +- .../Functions/Compilation/RealOnly.cs | 18 +- ...aluation.Continuous.Arithmetics.Classes.cs | 26 +- .../ToString/ToString.Arithmetics.Classes.cs | 2 +- .../Functions.Continuous.fs | 7 +- .../UnitTests/Convenience/ModulusTest.cs | 120 +-- 15 files changed, 506 insertions(+), 448 deletions(-) diff --git a/Sources/AngouriMath/Convenience/MathS.cs b/Sources/AngouriMath/Convenience/MathS.cs index 12b343f2c..ea15c8657 100644 --- a/Sources/AngouriMath/Convenience/MathS.cs +++ b/Sources/AngouriMath/Convenience/MathS.cs @@ -422,10 +422,15 @@ public static Integer GreatestCommonDivisor(Integer a, Integer b) /// % . /// /// - /// The remainder takes the sign of the dividend, as C#'s own % does and as the - /// underlying arbitrary-precision arithmetic does: (-7) % 3 is -1, not 2. That is - /// the truncated convention, not the Euclidean one -- for a non-negative answer whatever - /// the sign of the dividend, write (a % b + b) % b. + /// The remainder takes the sign of the divisor -- the floored convention, + /// a - b * floor(a / b), under which (-7) mod 3 is 2 and 7 mod (-3) + /// is -2. This is what a mathematician means by mod: it is the convention under which + /// the residues modulo n are the numbers from 0 to n - 1, and it is what SymPy, + /// Mathematica and Maxima all answer. C# truncates instead and so its % on two + /// s gives -1 there, but that is an operation on machine integers and + /// not this one. + /// + /// Written mod when parsed from a string. % is left to mean percent. /// /// The expression whose remainder is taken /// The expression divided by; the result is undefined where it is zero diff --git a/Sources/AngouriMath/Core/Antlr/AngouriMath.g b/Sources/AngouriMath/Core/Antlr/AngouriMath.g index 69ef97934..8f6e0e9d9 100644 --- a/Sources/AngouriMath/Core/Antlr/AngouriMath.g +++ b/Sources/AngouriMath/Core/Antlr/AngouriMath.g @@ -98,7 +98,7 @@ mult_expression returns[Entity value] : u1 = unary_expression { $value = $u1.value; } ('*' u2 = unary_expression { $value = $value * $u2.value; } | '/' u2 = unary_expression { $value = $value / $u2.value; } | - '%' u2 = unary_expression { $value = $value % $u2.value; })* + 'mod' u2 = unary_expression { $value = $value % $u2.value; })* ; sum_expression returns[Entity value] diff --git a/Sources/AngouriMath/Core/Antlr/AngouriMath.interp b/Sources/AngouriMath/Core/Antlr/AngouriMath.interp index ada66e227..9f5ad49e8 100644 --- a/Sources/AngouriMath/Core/Antlr/AngouriMath.interp +++ b/Sources/AngouriMath/Core/Antlr/AngouriMath.interp @@ -6,7 +6,7 @@ null '+' '*' '/' -'%' +'mod' 'intersect' '/\\' 'unite' diff --git a/Sources/AngouriMath/Core/Antlr/AngouriMath.tokens b/Sources/AngouriMath/Core/Antlr/AngouriMath.tokens index 2ab547d52..a3da88edd 100644 --- a/Sources/AngouriMath/Core/Antlr/AngouriMath.tokens +++ b/Sources/AngouriMath/Core/Antlr/AngouriMath.tokens @@ -139,7 +139,7 @@ WS=135 '+'=4 '*'=5 '/'=6 -'%'=7 +'mod'=7 'intersect'=8 '/\\'=9 'unite'=10 diff --git a/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.cs b/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.cs index 5e189e5ba..35b9487f2 100644 --- a/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.cs +++ b/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.cs @@ -101,7 +101,7 @@ public AngouriMathLexer(ICharStream input, TextWriter output, TextWriter errorOu } private static readonly string[] _LiteralNames = { - null, "'!'", "'^'", "'-'", "'+'", "'*'", "'/'", "'%'", "'intersect'", + null, "'!'", "'^'", "'-'", "'+'", "'*'", "'/'", "'mod'", "'intersect'", "'/\\'", "'unite'", "'\\/'", "'setsubtract'", "'\\'", "'in'", "'>='", "'<='", "'>'", "'<'", "'='", "'<>'", "'not'", "'and'", "'&'", "'xor'", "'or'", "'|'", "'implies'", "'->'", "'provided'", "','", "';'", "':'", @@ -163,7 +163,7 @@ static AngouriMathLexer() { } } private static int[] _serializedATN = { - 4,0,135,1158,6,-1,2,0,7,0,2,1,7,1,2,2,7,2,2,3,7,3,2,4,7,4,2,5,7,5,2,6, + 4,0,135,1160,6,-1,2,0,7,0,2,1,7,1,2,2,7,2,2,3,7,3,2,4,7,4,2,5,7,5,2,6, 7,6,2,7,7,7,2,8,7,8,2,9,7,9,2,10,7,10,2,11,7,11,2,12,7,12,2,13,7,13,2, 14,7,14,2,15,7,15,2,16,7,16,2,17,7,17,2,18,7,18,2,19,7,19,2,20,7,20,2, 21,7,21,2,22,7,22,2,23,7,23,2,24,7,24,2,25,7,25,2,26,7,26,2,27,7,27,2, @@ -184,374 +184,374 @@ static AngouriMathLexer() { 7,122,2,123,7,123,2,124,7,124,2,125,7,125,2,126,7,126,2,127,7,127,2,128, 7,128,2,129,7,129,2,130,7,130,2,131,7,131,2,132,7,132,2,133,7,133,2,134, 7,134,2,135,7,135,1,0,1,0,1,1,1,1,1,2,1,2,1,3,1,3,1,4,1,4,1,5,1,5,1,6, - 1,6,1,7,1,7,1,7,1,7,1,7,1,7,1,7,1,7,1,7,1,7,1,8,1,8,1,8,1,9,1,9,1,9,1, - 9,1,9,1,9,1,10,1,10,1,10,1,11,1,11,1,11,1,11,1,11,1,11,1,11,1,11,1,11, - 1,11,1,11,1,11,1,12,1,12,1,13,1,13,1,13,1,14,1,14,1,14,1,15,1,15,1,15, - 1,16,1,16,1,17,1,17,1,18,1,18,1,19,1,19,1,19,1,20,1,20,1,20,1,20,1,21, - 1,21,1,21,1,21,1,22,1,22,1,23,1,23,1,23,1,23,1,24,1,24,1,24,1,25,1,25, - 1,26,1,26,1,26,1,26,1,26,1,26,1,26,1,26,1,27,1,27,1,27,1,28,1,28,1,28, - 1,28,1,28,1,28,1,28,1,28,1,28,1,29,1,29,1,30,1,30,1,31,1,31,1,32,1,32, - 1,32,1,32,1,33,1,33,1,33,1,33,1,34,1,34,1,34,1,35,1,35,1,35,1,36,1,36, - 1,37,1,37,1,37,1,38,1,38,1,39,1,39,1,40,1,40,1,41,1,41,1,42,1,42,1,43, - 1,43,1,43,1,43,1,43,1,44,1,44,1,44,1,44,1,44,1,45,1,45,1,45,1,45,1,45, - 1,45,1,46,1,46,1,46,1,46,1,46,1,46,1,47,1,47,1,47,1,47,1,47,1,48,1,48, - 1,48,1,48,1,49,1,49,1,49,1,49,1,49,1,50,1,50,1,50,1,50,1,50,1,51,1,51, - 1,51,1,51,1,51,1,52,1,52,1,52,1,52,1,52,1,52,1,52,1,53,1,53,1,53,1,53, - 1,53,1,54,1,54,1,54,1,54,1,54,1,55,1,55,1,55,1,55,1,55,1,55,1,55,1,56, - 1,56,1,56,1,56,1,56,1,57,1,57,1,57,1,57,1,57,1,57,1,57,1,57,1,58,1,58, - 1,58,1,58,1,58,1,58,1,58,1,58,1,59,1,59,1,59,1,59,1,59,1,59,1,59,1,59, - 1,60,1,60,1,60,1,60,1,60,1,60,1,60,1,60,1,60,1,60,1,61,1,61,1,61,1,61, - 1,61,1,61,1,61,1,61,1,62,1,62,1,62,1,62,1,62,1,62,1,62,1,62,1,62,1,62, - 1,63,1,63,1,63,1,63,1,63,1,63,1,63,1,63,1,64,1,64,1,64,1,64,1,64,1,64, - 1,65,1,65,1,65,1,65,1,65,1,65,1,66,1,66,1,66,1,66,1,66,1,66,1,67,1,67, - 1,67,1,67,1,67,1,67,1,68,1,68,1,68,1,68,1,68,1,68,1,68,1,68,1,69,1,69, - 1,69,1,69,1,69,1,69,1,70,1,70,1,70,1,70,1,70,1,70,1,70,1,70,1,71,1,71, - 1,71,1,71,1,71,1,71,1,72,1,72,1,72,1,72,1,72,1,72,1,72,1,72,1,73,1,73, - 1,73,1,73,1,73,1,73,1,74,1,74,1,74,1,74,1,75,1,75,1,75,1,75,1,75,1,75, - 1,76,1,76,1,76,1,76,1,77,1,77,1,77,1,77,1,77,1,77,1,78,1,78,1,78,1,78, - 1,79,1,79,1,79,1,79,1,79,1,79,1,79,1,79,1,80,1,80,1,80,1,80,1,80,1,80, - 1,81,1,81,1,81,1,81,1,81,1,82,1,82,1,82,1,82,1,82,1,82,1,83,1,83,1,83, - 1,83,1,83,1,84,1,84,1,84,1,84,1,84,1,84,1,84,1,84,1,85,1,85,1,85,1,85, - 1,85,1,85,1,86,1,86,1,86,1,86,1,86,1,86,1,86,1,87,1,87,1,87,1,87,1,87, - 1,87,1,87,1,87,1,88,1,88,1,88,1,88,1,88,1,88,1,89,1,89,1,89,1,89,1,89, - 1,89,1,89,1,89,1,89,1,90,1,90,1,90,1,90,1,90,1,90,1,90,1,91,1,91,1,91, - 1,91,1,91,1,91,1,91,1,91,1,92,1,92,1,92,1,92,1,92,1,92,1,93,1,93,1,93, - 1,93,1,93,1,93,1,93,1,93,1,93,1,94,1,94,1,94,1,94,1,94,1,94,1,94,1,95, - 1,95,1,95,1,95,1,95,1,95,1,95,1,95,1,96,1,96,1,96,1,96,1,96,1,96,1,97, - 1,97,1,97,1,97,1,97,1,97,1,97,1,97,1,97,1,98,1,98,1,98,1,98,1,98,1,98, - 1,98,1,99,1,99,1,99,1,99,1,99,1,99,1,99,1,99,1,100,1,100,1,100,1,100,1, - 100,1,100,1,100,1,100,1,100,1,101,1,101,1,101,1,101,1,101,1,101,1,101, - 1,101,1,101,1,101,1,102,1,102,1,102,1,102,1,102,1,102,1,102,1,103,1,103, - 1,103,1,103,1,103,1,103,1,103,1,103,1,103,1,103,1,103,1,104,1,104,1,104, - 1,104,1,104,1,104,1,104,1,105,1,105,1,105,1,105,1,105,1,105,1,105,1,105, - 1,106,1,106,1,106,1,106,1,106,1,106,1,106,1,107,1,107,1,107,1,107,1,107, - 1,107,1,107,1,107,1,107,1,108,1,108,1,108,1,108,1,108,1,108,1,108,1,108, - 1,108,1,109,1,109,1,109,1,109,1,109,1,109,1,109,1,109,1,109,1,109,1,110, - 1,110,1,110,1,110,1,110,1,110,1,110,1,110,1,111,1,111,1,111,1,111,1,111, - 1,111,1,111,1,111,1,111,1,111,1,111,1,112,1,112,1,112,1,112,1,112,1,112, - 1,112,1,113,1,113,1,113,1,113,1,113,1,113,1,113,1,114,1,114,1,114,1,114, - 1,114,1,114,1,114,1,114,1,114,1,114,1,114,1,114,1,115,1,115,1,115,1,115, - 1,115,1,115,1,115,1,115,1,115,1,115,1,116,1,116,1,116,1,116,1,116,1,116, - 1,116,1,117,1,117,1,117,1,117,1,117,1,117,1,117,1,117,1,117,1,117,1,117, - 1,118,1,118,1,118,1,118,1,118,1,118,1,118,1,118,1,118,1,118,1,118,1,118, - 1,119,1,119,1,119,1,119,1,119,1,119,1,119,1,119,1,120,1,120,1,120,1,120, - 1,120,1,121,1,121,1,121,1,121,1,121,1,121,1,122,1,122,1,122,1,122,1,122, - 1,123,1,123,1,123,1,123,1,123,1,124,1,124,1,124,1,124,1,124,1,124,1,124, - 1,124,1,125,1,125,1,125,1,125,1,125,1,125,1,125,1,125,1,125,1,125,1,125, - 1,126,1,126,1,126,1,126,1,126,1,126,1,126,1,127,1,127,1,127,1,127,1,127, - 1,127,1,127,1,127,1,128,3,128,1026,8,128,1,128,4,128,1029,8,128,11,128, - 12,128,1030,1,128,1,128,1,129,1,129,3,129,1037,8,129,1,129,4,129,1040, - 8,129,11,129,12,129,1041,1,130,4,130,1045,8,130,11,130,12,130,1046,1,130, - 1,130,5,130,1051,8,130,10,130,12,130,1054,9,130,1,130,3,130,1057,8,130, - 1,130,3,130,1060,8,130,1,130,3,130,1063,8,130,1,130,4,130,1066,8,130,11, - 130,12,130,1067,1,130,3,130,1071,8,130,1,130,3,130,1074,8,130,1,130,3, - 130,1077,8,130,1,131,1,131,1,131,1,131,1,131,1,131,1,131,1,131,1,131,1, - 131,3,131,1089,8,131,1,132,1,132,1,132,1,132,1,132,1,132,1,132,1,132,1, - 132,1,132,1,132,1,132,1,132,1,132,1,132,1,132,1,132,1,132,3,132,1109,8, - 132,1,133,4,133,1112,8,133,11,133,12,133,1113,1,133,1,133,4,133,1118,8, - 133,11,133,12,133,1119,3,133,1122,8,133,1,134,1,134,1,134,1,134,5,134, - 1128,8,134,10,134,12,134,1131,9,134,1,134,3,134,1134,8,134,1,134,1,134, - 1,134,1,134,1,134,5,134,1141,8,134,10,134,12,134,1144,9,134,1,134,1,134, - 3,134,1148,8,134,1,134,1,134,1,135,4,135,1153,8,135,11,135,12,135,1154, - 1,135,1,135,1,1142,0,136,1,1,3,2,5,3,7,4,9,5,11,6,13,7,15,8,17,9,19,10, - 21,11,23,12,25,13,27,14,29,15,31,16,33,17,35,18,37,19,39,20,41,21,43,22, - 45,23,47,24,49,25,51,26,53,27,55,28,57,29,59,30,61,31,63,32,65,33,67,34, - 69,35,71,36,73,37,75,38,77,39,79,40,81,41,83,42,85,43,87,44,89,45,91,46, - 93,47,95,48,97,49,99,50,101,51,103,52,105,53,107,54,109,55,111,56,113, - 57,115,58,117,59,119,60,121,61,123,62,125,63,127,64,129,65,131,66,133, - 67,135,68,137,69,139,70,141,71,143,72,145,73,147,74,149,75,151,76,153, - 77,155,78,157,79,159,80,161,81,163,82,165,83,167,84,169,85,171,86,173, - 87,175,88,177,89,179,90,181,91,183,92,185,93,187,94,189,95,191,96,193, - 97,195,98,197,99,199,100,201,101,203,102,205,103,207,104,209,105,211,106, - 213,107,215,108,217,109,219,110,221,111,223,112,225,113,227,114,229,115, - 231,116,233,117,235,118,237,119,239,120,241,121,243,122,245,123,247,124, - 249,125,251,126,253,127,255,128,257,129,259,0,261,130,263,131,265,132, - 267,133,269,134,271,135,1,0,6,2,0,69,69,101,101,2,0,43,43,45,45,4,0,65, - 90,97,122,880,1279,7936,8191,5,0,48,57,65,90,97,122,880,1279,7936,8191, - 2,0,10,10,13,13,2,0,9,9,32,32,1185,0,1,1,0,0,0,0,3,1,0,0,0,0,5,1,0,0,0, - 0,7,1,0,0,0,0,9,1,0,0,0,0,11,1,0,0,0,0,13,1,0,0,0,0,15,1,0,0,0,0,17,1, - 0,0,0,0,19,1,0,0,0,0,21,1,0,0,0,0,23,1,0,0,0,0,25,1,0,0,0,0,27,1,0,0,0, - 0,29,1,0,0,0,0,31,1,0,0,0,0,33,1,0,0,0,0,35,1,0,0,0,0,37,1,0,0,0,0,39, - 1,0,0,0,0,41,1,0,0,0,0,43,1,0,0,0,0,45,1,0,0,0,0,47,1,0,0,0,0,49,1,0,0, - 0,0,51,1,0,0,0,0,53,1,0,0,0,0,55,1,0,0,0,0,57,1,0,0,0,0,59,1,0,0,0,0,61, - 1,0,0,0,0,63,1,0,0,0,0,65,1,0,0,0,0,67,1,0,0,0,0,69,1,0,0,0,0,71,1,0,0, - 0,0,73,1,0,0,0,0,75,1,0,0,0,0,77,1,0,0,0,0,79,1,0,0,0,0,81,1,0,0,0,0,83, - 1,0,0,0,0,85,1,0,0,0,0,87,1,0,0,0,0,89,1,0,0,0,0,91,1,0,0,0,0,93,1,0,0, - 0,0,95,1,0,0,0,0,97,1,0,0,0,0,99,1,0,0,0,0,101,1,0,0,0,0,103,1,0,0,0,0, - 105,1,0,0,0,0,107,1,0,0,0,0,109,1,0,0,0,0,111,1,0,0,0,0,113,1,0,0,0,0, - 115,1,0,0,0,0,117,1,0,0,0,0,119,1,0,0,0,0,121,1,0,0,0,0,123,1,0,0,0,0, - 125,1,0,0,0,0,127,1,0,0,0,0,129,1,0,0,0,0,131,1,0,0,0,0,133,1,0,0,0,0, - 135,1,0,0,0,0,137,1,0,0,0,0,139,1,0,0,0,0,141,1,0,0,0,0,143,1,0,0,0,0, - 145,1,0,0,0,0,147,1,0,0,0,0,149,1,0,0,0,0,151,1,0,0,0,0,153,1,0,0,0,0, - 155,1,0,0,0,0,157,1,0,0,0,0,159,1,0,0,0,0,161,1,0,0,0,0,163,1,0,0,0,0, - 165,1,0,0,0,0,167,1,0,0,0,0,169,1,0,0,0,0,171,1,0,0,0,0,173,1,0,0,0,0, - 175,1,0,0,0,0,177,1,0,0,0,0,179,1,0,0,0,0,181,1,0,0,0,0,183,1,0,0,0,0, - 185,1,0,0,0,0,187,1,0,0,0,0,189,1,0,0,0,0,191,1,0,0,0,0,193,1,0,0,0,0, - 195,1,0,0,0,0,197,1,0,0,0,0,199,1,0,0,0,0,201,1,0,0,0,0,203,1,0,0,0,0, - 205,1,0,0,0,0,207,1,0,0,0,0,209,1,0,0,0,0,211,1,0,0,0,0,213,1,0,0,0,0, - 215,1,0,0,0,0,217,1,0,0,0,0,219,1,0,0,0,0,221,1,0,0,0,0,223,1,0,0,0,0, - 225,1,0,0,0,0,227,1,0,0,0,0,229,1,0,0,0,0,231,1,0,0,0,0,233,1,0,0,0,0, - 235,1,0,0,0,0,237,1,0,0,0,0,239,1,0,0,0,0,241,1,0,0,0,0,243,1,0,0,0,0, - 245,1,0,0,0,0,247,1,0,0,0,0,249,1,0,0,0,0,251,1,0,0,0,0,253,1,0,0,0,0, - 255,1,0,0,0,0,257,1,0,0,0,0,261,1,0,0,0,0,263,1,0,0,0,0,265,1,0,0,0,0, - 267,1,0,0,0,0,269,1,0,0,0,0,271,1,0,0,0,1,273,1,0,0,0,3,275,1,0,0,0,5, - 277,1,0,0,0,7,279,1,0,0,0,9,281,1,0,0,0,11,283,1,0,0,0,13,285,1,0,0,0, - 15,287,1,0,0,0,17,297,1,0,0,0,19,300,1,0,0,0,21,306,1,0,0,0,23,309,1,0, - 0,0,25,321,1,0,0,0,27,323,1,0,0,0,29,326,1,0,0,0,31,329,1,0,0,0,33,332, - 1,0,0,0,35,334,1,0,0,0,37,336,1,0,0,0,39,338,1,0,0,0,41,341,1,0,0,0,43, - 345,1,0,0,0,45,349,1,0,0,0,47,351,1,0,0,0,49,355,1,0,0,0,51,358,1,0,0, - 0,53,360,1,0,0,0,55,368,1,0,0,0,57,371,1,0,0,0,59,380,1,0,0,0,61,382,1, - 0,0,0,63,384,1,0,0,0,65,386,1,0,0,0,67,390,1,0,0,0,69,394,1,0,0,0,71,397, - 1,0,0,0,73,400,1,0,0,0,75,402,1,0,0,0,77,405,1,0,0,0,79,407,1,0,0,0,81, - 409,1,0,0,0,83,411,1,0,0,0,85,413,1,0,0,0,87,415,1,0,0,0,89,420,1,0,0, - 0,91,425,1,0,0,0,93,431,1,0,0,0,95,437,1,0,0,0,97,442,1,0,0,0,99,446,1, - 0,0,0,101,451,1,0,0,0,103,456,1,0,0,0,105,461,1,0,0,0,107,468,1,0,0,0, - 109,473,1,0,0,0,111,478,1,0,0,0,113,485,1,0,0,0,115,490,1,0,0,0,117,498, - 1,0,0,0,119,506,1,0,0,0,121,514,1,0,0,0,123,524,1,0,0,0,125,532,1,0,0, - 0,127,542,1,0,0,0,129,550,1,0,0,0,131,556,1,0,0,0,133,562,1,0,0,0,135, - 568,1,0,0,0,137,574,1,0,0,0,139,582,1,0,0,0,141,588,1,0,0,0,143,596,1, - 0,0,0,145,602,1,0,0,0,147,610,1,0,0,0,149,616,1,0,0,0,151,620,1,0,0,0, - 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0,1090,1086,1,0,0,0,1090,1088,1,0,0,0,1091,264,1,0,0,0,1092,1093,5,116, + 0,0,1093,1094,5,114,0,0,1094,1095,5,117,0,0,1095,1111,5,101,0,0,1096,1097, + 5,84,0,0,1097,1098,5,114,0,0,1098,1099,5,117,0,0,1099,1111,5,101,0,0,1100, + 1101,5,102,0,0,1101,1102,5,97,0,0,1102,1103,5,108,0,0,1103,1104,5,115, + 0,0,1104,1111,5,101,0,0,1105,1106,5,70,0,0,1106,1107,5,97,0,0,1107,1108, + 5,108,0,0,1108,1109,5,115,0,0,1109,1111,5,101,0,0,1110,1092,1,0,0,0,1110, + 1096,1,0,0,0,1110,1100,1,0,0,0,1110,1105,1,0,0,0,1111,266,1,0,0,0,1112, + 1114,7,2,0,0,1113,1112,1,0,0,0,1114,1115,1,0,0,0,1115,1113,1,0,0,0,1115, + 1116,1,0,0,0,1116,1123,1,0,0,0,1117,1119,5,95,0,0,1118,1120,7,3,0,0,1119, + 1118,1,0,0,0,1120,1121,1,0,0,0,1121,1119,1,0,0,0,1121,1122,1,0,0,0,1122, + 1124,1,0,0,0,1123,1117,1,0,0,0,1123,1124,1,0,0,0,1124,268,1,0,0,0,1125, + 1126,5,47,0,0,1126,1127,5,47,0,0,1127,1131,1,0,0,0,1128,1130,8,4,0,0,1129, + 1128,1,0,0,0,1130,1133,1,0,0,0,1131,1129,1,0,0,0,1131,1132,1,0,0,0,1132, + 1135,1,0,0,0,1133,1131,1,0,0,0,1134,1136,5,13,0,0,1135,1134,1,0,0,0,1135, + 1136,1,0,0,0,1136,1137,1,0,0,0,1137,1150,5,10,0,0,1138,1139,5,47,0,0,1139, + 1140,5,42,0,0,1140,1144,1,0,0,0,1141,1143,9,0,0,0,1142,1141,1,0,0,0,1143, + 1146,1,0,0,0,1144,1145,1,0,0,0,1144,1142,1,0,0,0,1145,1147,1,0,0,0,1146, + 1144,1,0,0,0,1147,1148,5,42,0,0,1148,1150,5,47,0,0,1149,1125,1,0,0,0,1149, + 1138,1,0,0,0,1150,1151,1,0,0,0,1151,1152,6,134,0,0,1152,270,1,0,0,0,1153, + 1155,7,5,0,0,1154,1153,1,0,0,0,1155,1156,1,0,0,0,1156,1154,1,0,0,0,1156, + 1157,1,0,0,0,1157,1158,1,0,0,0,1158,1159,6,135,0,0,1159,272,1,0,0,0,24, + 0,1027,1032,1038,1043,1048,1054,1058,1061,1064,1069,1072,1075,1078,1090, + 1110,1115,1121,1123,1131,1135,1144,1149,1156,1,6,0,0 }; public static readonly ATN _ATN = diff --git a/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.interp b/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.interp index af95298e9..bd05b5ae8 100644 --- a/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.interp +++ b/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.interp @@ -6,7 +6,7 @@ null '+' '*' '/' -'%' +'mod' 'intersect' '/\\' 'unite' @@ -420,4 +420,4 @@ mode names: DEFAULT_MODE atn: -[4, 0, 135, 1158, 6, -1, 2, 0, 7, 0, 2, 1, 7, 1, 2, 2, 7, 2, 2, 3, 7, 3, 2, 4, 7, 4, 2, 5, 7, 5, 2, 6, 7, 6, 2, 7, 7, 7, 2, 8, 7, 8, 2, 9, 7, 9, 2, 10, 7, 10, 2, 11, 7, 11, 2, 12, 7, 12, 2, 13, 7, 13, 2, 14, 7, 14, 2, 15, 7, 15, 2, 16, 7, 16, 2, 17, 7, 17, 2, 18, 7, 18, 2, 19, 7, 19, 2, 20, 7, 20, 2, 21, 7, 21, 2, 22, 7, 22, 2, 23, 7, 23, 2, 24, 7, 24, 2, 25, 7, 25, 2, 26, 7, 26, 2, 27, 7, 27, 2, 28, 7, 28, 2, 29, 7, 29, 2, 30, 7, 30, 2, 31, 7, 31, 2, 32, 7, 32, 2, 33, 7, 33, 2, 34, 7, 34, 2, 35, 7, 35, 2, 36, 7, 36, 2, 37, 7, 37, 2, 38, 7, 38, 2, 39, 7, 39, 2, 40, 7, 40, 2, 41, 7, 41, 2, 42, 7, 42, 2, 43, 7, 43, 2, 44, 7, 44, 2, 45, 7, 45, 2, 46, 7, 46, 2, 47, 7, 47, 2, 48, 7, 48, 2, 49, 7, 49, 2, 50, 7, 50, 2, 51, 7, 51, 2, 52, 7, 52, 2, 53, 7, 53, 2, 54, 7, 54, 2, 55, 7, 55, 2, 56, 7, 56, 2, 57, 7, 57, 2, 58, 7, 58, 2, 59, 7, 59, 2, 60, 7, 60, 2, 61, 7, 61, 2, 62, 7, 62, 2, 63, 7, 63, 2, 64, 7, 64, 2, 65, 7, 65, 2, 66, 7, 66, 2, 67, 7, 67, 2, 68, 7, 68, 2, 69, 7, 69, 2, 70, 7, 70, 2, 71, 7, 71, 2, 72, 7, 72, 2, 73, 7, 73, 2, 74, 7, 74, 2, 75, 7, 75, 2, 76, 7, 76, 2, 77, 7, 77, 2, 78, 7, 78, 2, 79, 7, 79, 2, 80, 7, 80, 2, 81, 7, 81, 2, 82, 7, 82, 2, 83, 7, 83, 2, 84, 7, 84, 2, 85, 7, 85, 2, 86, 7, 86, 2, 87, 7, 87, 2, 88, 7, 88, 2, 89, 7, 89, 2, 90, 7, 90, 2, 91, 7, 91, 2, 92, 7, 92, 2, 93, 7, 93, 2, 94, 7, 94, 2, 95, 7, 95, 2, 96, 7, 96, 2, 97, 7, 97, 2, 98, 7, 98, 2, 99, 7, 99, 2, 100, 7, 100, 2, 101, 7, 101, 2, 102, 7, 102, 2, 103, 7, 103, 2, 104, 7, 104, 2, 105, 7, 105, 2, 106, 7, 106, 2, 107, 7, 107, 2, 108, 7, 108, 2, 109, 7, 109, 2, 110, 7, 110, 2, 111, 7, 111, 2, 112, 7, 112, 2, 113, 7, 113, 2, 114, 7, 114, 2, 115, 7, 115, 2, 116, 7, 116, 2, 117, 7, 117, 2, 118, 7, 118, 2, 119, 7, 119, 2, 120, 7, 120, 2, 121, 7, 121, 2, 122, 7, 122, 2, 123, 7, 123, 2, 124, 7, 124, 2, 125, 7, 125, 2, 126, 7, 126, 2, 127, 7, 127, 2, 128, 7, 128, 2, 129, 7, 129, 2, 130, 7, 130, 2, 131, 7, 131, 2, 132, 7, 132, 2, 133, 7, 133, 2, 134, 7, 134, 2, 135, 7, 135, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 3, 1, 3, 1, 4, 1, 4, 1, 5, 1, 5, 1, 6, 1, 6, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 8, 1, 8, 1, 8, 1, 9, 1, 9, 1, 9, 1, 9, 1, 9, 1, 9, 1, 10, 1, 10, 1, 10, 1, 11, 1, 11, 1, 11, 1, 11, 1, 11, 1, 11, 1, 11, 1, 11, 1, 11, 1, 11, 1, 11, 1, 11, 1, 12, 1, 12, 1, 13, 1, 13, 1, 13, 1, 14, 1, 14, 1, 14, 1, 15, 1, 15, 1, 15, 1, 16, 1, 16, 1, 17, 1, 17, 1, 18, 1, 18, 1, 19, 1, 19, 1, 19, 1, 20, 1, 20, 1, 20, 1, 20, 1, 21, 1, 21, 1, 21, 1, 21, 1, 22, 1, 22, 1, 23, 1, 23, 1, 23, 1, 23, 1, 24, 1, 24, 1, 24, 1, 25, 1, 25, 1, 26, 1, 26, 1, 26, 1, 26, 1, 26, 1, 26, 1, 26, 1, 26, 1, 27, 1, 27, 1, 27, 1, 28, 1, 28, 1, 28, 1, 28, 1, 28, 1, 28, 1, 28, 1, 28, 1, 28, 1, 29, 1, 29, 1, 30, 1, 30, 1, 31, 1, 31, 1, 32, 1, 32, 1, 32, 1, 32, 1, 33, 1, 33, 1, 33, 1, 33, 1, 34, 1, 34, 1, 34, 1, 35, 1, 35, 1, 35, 1, 36, 1, 36, 1, 37, 1, 37, 1, 37, 1, 38, 1, 38, 1, 39, 1, 39, 1, 40, 1, 40, 1, 41, 1, 41, 1, 42, 1, 42, 1, 43, 1, 43, 1, 43, 1, 43, 1, 43, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 45, 1, 45, 1, 45, 1, 45, 1, 45, 1, 45, 1, 46, 1, 46, 1, 46, 1, 46, 1, 46, 1, 46, 1, 47, 1, 47, 1, 47, 1, 47, 1, 47, 1, 48, 1, 48, 1, 48, 1, 48, 1, 49, 1, 49, 1, 49, 1, 49, 1, 49, 1, 50, 1, 50, 1, 50, 1, 50, 1, 50, 1, 51, 1, 51, 1, 51, 1, 51, 1, 51, 1, 52, 1, 52, 1, 52, 1, 52, 1, 52, 1, 52, 1, 52, 1, 53, 1, 53, 1, 53, 1, 53, 1, 53, 1, 54, 1, 54, 1, 54, 1, 54, 1, 54, 1, 55, 1, 55, 1, 55, 1, 55, 1, 55, 1, 55, 1, 55, 1, 56, 1, 56, 1, 56, 1, 56, 1, 56, 1, 57, 1, 57, 1, 57, 1, 57, 1, 57, 1, 57, 1, 57, 1, 57, 1, 58, 1, 58, 1, 58, 1, 58, 1, 58, 1, 58, 1, 58, 1, 58, 1, 59, 1, 59, 1, 59, 1, 59, 1, 59, 1, 59, 1, 59, 1, 59, 1, 60, 1, 60, 1, 60, 1, 60, 1, 60, 1, 60, 1, 60, 1, 60, 1, 60, 1, 60, 1, 61, 1, 61, 1, 61, 1, 61, 1, 61, 1, 61, 1, 61, 1, 61, 1, 62, 1, 62, 1, 62, 1, 62, 1, 62, 1, 62, 1, 62, 1, 62, 1, 62, 1, 62, 1, 63, 1, 63, 1, 63, 1, 63, 1, 63, 1, 63, 1, 63, 1, 63, 1, 64, 1, 64, 1, 64, 1, 64, 1, 64, 1, 64, 1, 65, 1, 65, 1, 65, 1, 65, 1, 65, 1, 65, 1, 66, 1, 66, 1, 66, 1, 66, 1, 66, 1, 66, 1, 67, 1, 67, 1, 67, 1, 67, 1, 67, 1, 67, 1, 68, 1, 68, 1, 68, 1, 68, 1, 68, 1, 68, 1, 68, 1, 68, 1, 69, 1, 69, 1, 69, 1, 69, 1, 69, 1, 69, 1, 70, 1, 70, 1, 70, 1, 70, 1, 70, 1, 70, 1, 70, 1, 70, 1, 71, 1, 71, 1, 71, 1, 71, 1, 71, 1, 71, 1, 72, 1, 72, 1, 72, 1, 72, 1, 72, 1, 72, 1, 72, 1, 72, 1, 73, 1, 73, 1, 73, 1, 73, 1, 73, 1, 73, 1, 74, 1, 74, 1, 74, 1, 74, 1, 75, 1, 75, 1, 75, 1, 75, 1, 75, 1, 75, 1, 76, 1, 76, 1, 76, 1, 76, 1, 77, 1, 77, 1, 77, 1, 77, 1, 77, 1, 77, 1, 78, 1, 78, 1, 78, 1, 78, 1, 79, 1, 79, 1, 79, 1, 79, 1, 79, 1, 79, 1, 79, 1, 79, 1, 80, 1, 80, 1, 80, 1, 80, 1, 80, 1, 80, 1, 81, 1, 81, 1, 81, 1, 81, 1, 81, 1, 82, 1, 82, 1, 82, 1, 82, 1, 82, 1, 82, 1, 83, 1, 83, 1, 83, 1, 83, 1, 83, 1, 84, 1, 84, 1, 84, 1, 84, 1, 84, 1, 84, 1, 84, 1, 84, 1, 85, 1, 85, 1, 85, 1, 85, 1, 85, 1, 85, 1, 86, 1, 86, 1, 86, 1, 86, 1, 86, 1, 86, 1, 86, 1, 87, 1, 87, 1, 87, 1, 87, 1, 87, 1, 87, 1, 87, 1, 87, 1, 88, 1, 88, 1, 88, 1, 88, 1, 88, 1, 88, 1, 89, 1, 89, 1, 89, 1, 89, 1, 89, 1, 89, 1, 89, 1, 89, 1, 89, 1, 90, 1, 90, 1, 90, 1, 90, 1, 90, 1, 90, 1, 90, 1, 91, 1, 91, 1, 91, 1, 91, 1, 91, 1, 91, 1, 91, 1, 91, 1, 92, 1, 92, 1, 92, 1, 92, 1, 92, 1, 92, 1, 93, 1, 93, 1, 93, 1, 93, 1, 93, 1, 93, 1, 93, 1, 93, 1, 93, 1, 94, 1, 94, 1, 94, 1, 94, 1, 94, 1, 94, 1, 94, 1, 95, 1, 95, 1, 95, 1, 95, 1, 95, 1, 95, 1, 95, 1, 95, 1, 96, 1, 96, 1, 96, 1, 96, 1, 96, 1, 96, 1, 97, 1, 97, 1, 97, 1, 97, 1, 97, 1, 97, 1, 97, 1, 97, 1, 97, 1, 98, 1, 98, 1, 98, 1, 98, 1, 98, 1, 98, 1, 98, 1, 99, 1, 99, 1, 99, 1, 99, 1, 99, 1, 99, 1, 99, 1, 99, 1, 100, 1, 100, 1, 100, 1, 100, 1, 100, 1, 100, 1, 100, 1, 100, 1, 100, 1, 101, 1, 101, 1, 101, 1, 101, 1, 101, 1, 101, 1, 101, 1, 101, 1, 101, 1, 101, 1, 102, 1, 102, 1, 102, 1, 102, 1, 102, 1, 102, 1, 102, 1, 103, 1, 103, 1, 103, 1, 103, 1, 103, 1, 103, 1, 103, 1, 103, 1, 103, 1, 103, 1, 103, 1, 104, 1, 104, 1, 104, 1, 104, 1, 104, 1, 104, 1, 104, 1, 105, 1, 105, 1, 105, 1, 105, 1, 105, 1, 105, 1, 105, 1, 105, 1, 106, 1, 106, 1, 106, 1, 106, 1, 106, 1, 106, 1, 106, 1, 107, 1, 107, 1, 107, 1, 107, 1, 107, 1, 107, 1, 107, 1, 107, 1, 107, 1, 108, 1, 108, 1, 108, 1, 108, 1, 108, 1, 108, 1, 108, 1, 108, 1, 108, 1, 109, 1, 109, 1, 109, 1, 109, 1, 109, 1, 109, 1, 109, 1, 109, 1, 109, 1, 109, 1, 110, 1, 110, 1, 110, 1, 110, 1, 110, 1, 110, 1, 110, 1, 110, 1, 111, 1, 111, 1, 111, 1, 111, 1, 111, 1, 111, 1, 111, 1, 111, 1, 111, 1, 111, 1, 111, 1, 112, 1, 112, 1, 112, 1, 112, 1, 112, 1, 112, 1, 112, 1, 113, 1, 113, 1, 113, 1, 113, 1, 113, 1, 113, 1, 113, 1, 114, 1, 114, 1, 114, 1, 114, 1, 114, 1, 114, 1, 114, 1, 114, 1, 114, 1, 114, 1, 114, 1, 114, 1, 115, 1, 115, 1, 115, 1, 115, 1, 115, 1, 115, 1, 115, 1, 115, 1, 115, 1, 115, 1, 116, 1, 116, 1, 116, 1, 116, 1, 116, 1, 116, 1, 116, 1, 117, 1, 117, 1, 117, 1, 117, 1, 117, 1, 117, 1, 117, 1, 117, 1, 117, 1, 117, 1, 117, 1, 118, 1, 118, 1, 118, 1, 118, 1, 118, 1, 118, 1, 118, 1, 118, 1, 118, 1, 118, 1, 118, 1, 118, 1, 119, 1, 119, 1, 119, 1, 119, 1, 119, 1, 119, 1, 119, 1, 119, 1, 120, 1, 120, 1, 120, 1, 120, 1, 120, 1, 121, 1, 121, 1, 121, 1, 121, 1, 121, 1, 121, 1, 122, 1, 122, 1, 122, 1, 122, 1, 122, 1, 123, 1, 123, 1, 123, 1, 123, 1, 123, 1, 124, 1, 124, 1, 124, 1, 124, 1, 124, 1, 124, 1, 124, 1, 124, 1, 125, 1, 125, 1, 125, 1, 125, 1, 125, 1, 125, 1, 125, 1, 125, 1, 125, 1, 125, 1, 125, 1, 126, 1, 126, 1, 126, 1, 126, 1, 126, 1, 126, 1, 126, 1, 127, 1, 127, 1, 127, 1, 127, 1, 127, 1, 127, 1, 127, 1, 127, 1, 128, 3, 128, 1026, 8, 128, 1, 128, 4, 128, 1029, 8, 128, 11, 128, 12, 128, 1030, 1, 128, 1, 128, 1, 129, 1, 129, 3, 129, 1037, 8, 129, 1, 129, 4, 129, 1040, 8, 129, 11, 129, 12, 129, 1041, 1, 130, 4, 130, 1045, 8, 130, 11, 130, 12, 130, 1046, 1, 130, 1, 130, 5, 130, 1051, 8, 130, 10, 130, 12, 130, 1054, 9, 130, 1, 130, 3, 130, 1057, 8, 130, 1, 130, 3, 130, 1060, 8, 130, 1, 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1065, 5, 46, 0, 0, 1064, 1063, 1, 0, 0, 0, 1064, 1065, 1, 0, 0, 0, 1065, 1067, 1, 0, 0, 0, 1066, 1068, 2, 48, 57, 0, 1067, 1066, 1, 0, 0, 0, 1068, 1069, 1, 0, 0, 0, 1069, 1067, 1, 0, 0, 0, 1069, 1070, 1, 0, 0, 0, 1070, 1072, 1, 0, 0, 0, 1071, 1073, 3, 259, 129, 0, 1072, 1071, 1, 0, 0, 0, 1072, 1073, 1, 0, 0, 0, 1073, 1075, 1, 0, 0, 0, 1074, 1076, 5, 105, 0, 0, 1075, 1074, 1, 0, 0, 0, 1075, 1076, 1, 0, 0, 0, 1076, 1079, 1, 0, 0, 0, 1077, 1079, 5, 105, 0, 0, 1078, 1046, 1, 0, 0, 0, 1078, 1064, 1, 0, 0, 0, 1078, 1077, 1, 0, 0, 0, 1079, 262, 1, 0, 0, 0, 1080, 1081, 5, 67, 0, 0, 1081, 1091, 5, 67, 0, 0, 1082, 1083, 5, 82, 0, 0, 1083, 1091, 5, 82, 0, 0, 1084, 1085, 5, 81, 0, 0, 1085, 1091, 5, 81, 0, 0, 1086, 1087, 5, 90, 0, 0, 1087, 1091, 5, 90, 0, 0, 1088, 1089, 5, 66, 0, 0, 1089, 1091, 5, 66, 0, 0, 1090, 1080, 1, 0, 0, 0, 1090, 1082, 1, 0, 0, 0, 1090, 1084, 1, 0, 0, 0, 1090, 1086, 1, 0, 0, 0, 1090, 1088, 1, 0, 0, 0, 1091, 264, 1, 0, 0, 0, 1092, 1093, 5, 116, 0, 0, 1093, 1094, 5, 114, 0, 0, 1094, 1095, 5, 117, 0, 0, 1095, 1111, 5, 101, 0, 0, 1096, 1097, 5, 84, 0, 0, 1097, 1098, 5, 114, 0, 0, 1098, 1099, 5, 117, 0, 0, 1099, 1111, 5, 101, 0, 0, 1100, 1101, 5, 102, 0, 0, 1101, 1102, 5, 97, 0, 0, 1102, 1103, 5, 108, 0, 0, 1103, 1104, 5, 115, 0, 0, 1104, 1111, 5, 101, 0, 0, 1105, 1106, 5, 70, 0, 0, 1106, 1107, 5, 97, 0, 0, 1107, 1108, 5, 108, 0, 0, 1108, 1109, 5, 115, 0, 0, 1109, 1111, 5, 101, 0, 0, 1110, 1092, 1, 0, 0, 0, 1110, 1096, 1, 0, 0, 0, 1110, 1100, 1, 0, 0, 0, 1110, 1105, 1, 0, 0, 0, 1111, 266, 1, 0, 0, 0, 1112, 1114, 7, 2, 0, 0, 1113, 1112, 1, 0, 0, 0, 1114, 1115, 1, 0, 0, 0, 1115, 1113, 1, 0, 0, 0, 1115, 1116, 1, 0, 0, 0, 1116, 1123, 1, 0, 0, 0, 1117, 1119, 5, 95, 0, 0, 1118, 1120, 7, 3, 0, 0, 1119, 1118, 1, 0, 0, 0, 1120, 1121, 1, 0, 0, 0, 1121, 1119, 1, 0, 0, 0, 1121, 1122, 1, 0, 0, 0, 1122, 1124, 1, 0, 0, 0, 1123, 1117, 1, 0, 0, 0, 1123, 1124, 1, 0, 0, 0, 1124, 268, 1, 0, 0, 0, 1125, 1126, 5, 47, 0, 0, 1126, 1127, 5, 47, 0, 0, 1127, 1131, 1, 0, 0, 0, 1128, 1130, 8, 4, 0, 0, 1129, 1128, 1, 0, 0, 0, 1130, 1133, 1, 0, 0, 0, 1131, 1129, 1, 0, 0, 0, 1131, 1132, 1, 0, 0, 0, 1132, 1135, 1, 0, 0, 0, 1133, 1131, 1, 0, 0, 0, 1134, 1136, 5, 13, 0, 0, 1135, 1134, 1, 0, 0, 0, 1135, 1136, 1, 0, 0, 0, 1136, 1137, 1, 0, 0, 0, 1137, 1150, 5, 10, 0, 0, 1138, 1139, 5, 47, 0, 0, 1139, 1140, 5, 42, 0, 0, 1140, 1144, 1, 0, 0, 0, 1141, 1143, 9, 0, 0, 0, 1142, 1141, 1, 0, 0, 0, 1143, 1146, 1, 0, 0, 0, 1144, 1145, 1, 0, 0, 0, 1144, 1142, 1, 0, 0, 0, 1145, 1147, 1, 0, 0, 0, 1146, 1144, 1, 0, 0, 0, 1147, 1148, 5, 42, 0, 0, 1148, 1150, 5, 47, 0, 0, 1149, 1125, 1, 0, 0, 0, 1149, 1138, 1, 0, 0, 0, 1150, 1151, 1, 0, 0, 0, 1151, 1152, 6, 134, 0, 0, 1152, 270, 1, 0, 0, 0, 1153, 1155, 7, 5, 0, 0, 1154, 1153, 1, 0, 0, 0, 1155, 1156, 1, 0, 0, 0, 1156, 1154, 1, 0, 0, 0, 1156, 1157, 1, 0, 0, 0, 1157, 1158, 1, 0, 0, 0, 1158, 1159, 6, 135, 0, 0, 1159, 272, 1, 0, 0, 0, 24, 0, 1027, 1032, 1038, 1043, 1048, 1054, 1058, 1061, 1064, 1069, 1072, 1075, 1078, 1090, 1110, 1115, 1121, 1123, 1131, 1135, 1144, 1149, 1156, 1, 6, 0, 0] \ No newline at end of file diff --git a/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.tokens b/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.tokens index 2ab547d52..a3da88edd 100644 --- a/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.tokens +++ b/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.tokens @@ -139,7 +139,7 @@ WS=135 '+'=4 '*'=5 '/'=6 -'%'=7 +'mod'=7 'intersect'=8 '/\\'=9 'unite'=10 diff --git a/Sources/AngouriMath/Core/Antlr/AngouriMathParser.cs b/Sources/AngouriMath/Core/Antlr/AngouriMathParser.cs index a85d8270a..c971998c6 100644 --- a/Sources/AngouriMath/Core/Antlr/AngouriMathParser.cs +++ b/Sources/AngouriMath/Core/Antlr/AngouriMathParser.cs @@ -85,7 +85,7 @@ public const int }; private static readonly string[] _LiteralNames = { - null, "'!'", "'^'", "'-'", "'+'", "'*'", "'/'", "'%'", "'intersect'", + null, "'!'", "'^'", "'-'", "'+'", "'*'", "'/'", "'mod'", "'intersect'", "'/\\'", "'unite'", "'\\/'", "'setsubtract'", "'\\'", "'in'", "'>='", "'<='", "'>'", "'<'", "'='", "'<>'", "'not'", "'and'", "'&'", "'xor'", "'or'", "'|'", "'implies'", "'->'", "'provided'", "','", "';'", "':'", diff --git a/Sources/AngouriMath/Core/Entity/Continuous/Entity.Continuous.Definition.cs b/Sources/AngouriMath/Core/Entity/Continuous/Entity.Continuous.Definition.cs index 7079d8873..55f1cfe88 100644 --- a/Sources/AngouriMath/Core/Entity/Continuous/Entity.Continuous.Definition.cs +++ b/Sources/AngouriMath/Core/Entity/Continuous/Entity.Continuous.Definition.cs @@ -80,7 +80,9 @@ public abstract partial record CalculusOperator(Entity Expression, Entity Var) : public static Entity operator /(Entity dividend, Entity divisor) => new Divf(dividend, divisor); /// - /// Hangs two nodes to a Mod node (i. e. building an expression) + /// Hangs two nodes to a Mod node (i. e. building an expression). Note that the node is + /// the mathematician's mod and so takes the sign of the divisor, where C#'s own + /// % on two s truncates: see . /// /// The left node, whose remainder is taken /// The right node, the one divided by diff --git a/Sources/AngouriMath/Functions/Compilation/IntoLinq/CompilationProtocol.cs b/Sources/AngouriMath/Functions/Compilation/IntoLinq/CompilationProtocol.cs index d3c864f48..c5b47acd8 100644 --- a/Sources/AngouriMath/Functions/Compilation/IntoLinq/CompilationProtocol.cs +++ b/Sources/AngouriMath/Functions/Compilation/IntoLinq/CompilationProtocol.cs @@ -193,10 +193,12 @@ public virtual Expression ConvertBinaryNode(Expression left, Expression right, E Minusf => Expression.Subtract(left, right), Mulf => Expression.Multiply(left, right), Divf => Expression.Divide(ShouldBeAtLeastDouble(left), ShouldBeAtLeastDouble(right)), - // Not widened to double the way division is: the remainder of two integers is - // an integer, and widening it would only lose that. The sign convention is the - // one the runtime already has, which is the one the interpreter uses too. - Modf => Expression.Modulo(left, right), + // ((a % b) + b) % b, and not the bare a % b: the runtime truncates, where the + // node is the floored remainder that takes the sign of the divisor, and this is + // the shortest expression that turns the one into the other for every pair of + // signs. Not widened to double the way division is -- the remainder of two + // integers is an integer, and widening would only lose that. + Modf => Expression.Modulo(Expression.Add(Expression.Modulo(left, right), right), right), Powf when ShouldBeAtLeastDouble(left) is var newLeft && ShouldBeAtLeastDouble(right) is var newRight diff --git a/Sources/AngouriMath/Functions/Compilation/RealOnly.cs b/Sources/AngouriMath/Functions/Compilation/RealOnly.cs index e742f21ea..951cd6bd4 100644 --- a/Sources/AngouriMath/Functions/Compilation/RealOnly.cs +++ b/Sources/AngouriMath/Functions/Compilation/RealOnly.cs @@ -30,8 +30,20 @@ internal static class RealOnly /// dividend, which is what does as well. /// public static NumericsComplex Mod(NumericsComplex a, NumericsComplex b) - => a.Imaginary is not 0 || b.Imaginary is not 0 - ? new NumericsComplex(double.NaN, double.NaN) - : new NumericsComplex(a.Real % b.Real, 0); + { + if (a.Imaginary is not 0 || b.Imaginary is not 0) + return new NumericsComplex(double.NaN, double.NaN); + var truncated = a.Real % b.Real; + // The runtime's own % truncates, where the node is the floored remainder that takes + // the sign of the divisor. They differ by exactly one divisor, and only where the + // remainder and the divisor disagree in sign. + // The + 0.0 is not idle: the runtime's % gives -0.0 for -6 % 3, and while that + // compares equal to zero it prints as -0 and is not what the interpreter answers. + return new NumericsComplex( + (truncated is 0 || truncated < 0 == b.Real < 0 + ? truncated + : truncated + b.Real) + 0.0, + 0); + } } } diff --git a/Sources/AngouriMath/Functions/Evaluation/Evaluation.Continuous/Evaluation.Continuous.Arithmetics.Classes.cs b/Sources/AngouriMath/Functions/Evaluation/Evaluation.Continuous/Evaluation.Continuous.Arithmetics.Classes.cs index e4b6d4e6d..167ff380e 100644 --- a/Sources/AngouriMath/Functions/Evaluation/Evaluation.Continuous/Evaluation.Continuous.Arithmetics.Classes.cs +++ b/Sources/AngouriMath/Functions/Evaluation/Evaluation.Continuous/Evaluation.Continuous.Arithmetics.Classes.cs @@ -105,6 +105,30 @@ public partial record Modf // Like division, undefined when the divisor is zero private protected override Entity IntrinsicCondition => !Divisor.EqualTo(0); + /// + /// The remainder of the floored division, a - b * floor(a / b), which takes the sign + /// of the divisor: -7 mod 3 is 2, and 7 mod -3 is -2. + /// + /// + /// This is what a mathematician means by mod. It is the convention under which the + /// residues modulo n are the numbers from 0 to n - 1, which is the whole point of + /// the operation in number theory, and it is what the other systems answer: SymPy, + /// Mathematica and Maxima all give 2 for -7 mod 3. C and the languages descended + /// from it truncate instead and so answer -1, but their % is an operation on + /// machine integers, not this one. + /// + /// Built from the truncated remainder rather than from a floor, since there is no + /// floor in this library: the two differ by exactly one divisor, and only where the + /// remainder and the divisor disagree in sign. + /// + private static Real FlooredRemainder(Real a, Real b) + { + var truncated = a % b; + return truncated == 0 || truncated.IsNegative == b.IsNegative + ? truncated + : (Real)(truncated + b); + } + /// protected override Entity InnerSimplify(bool isExact) => ExpandOnTwoArguments(Dividend, Divisor, @@ -113,7 +137,7 @@ protected override Entity InnerSimplify(bool isExact) => (_, Integer(0)) => Real.NaN, // Only for reals: the remainder of a complex number by another is not // one thing, and guessing at it would be worse than leaving it alone. - (Real n1, Real n2) when !isExact => n1 % n2, + (Real n1, Real n2) when !isExact => FlooredRemainder(n1, n2), (Integer(0), var n0) => n0.Evaled is Complex c ? c.IsZero ? MathS.NaN : 0 diff --git a/Sources/AngouriMath/Functions/Output/ToString/ToString.Arithmetics.Classes.cs b/Sources/AngouriMath/Functions/Output/ToString/ToString.Arithmetics.Classes.cs index 3bd8a5f95..0d7a7d316 100644 --- a/Sources/AngouriMath/Functions/Output/ToString/ToString.Arithmetics.Classes.cs +++ b/Sources/AngouriMath/Functions/Output/ToString/ToString.Arithmetics.Classes.cs @@ -51,7 +51,7 @@ public partial record Modf { /// public override string Stringize() => - Dividend.Stringize(Dividend.Priority < Priority) + " % " + Divisor.Stringize(Divisor.Priority <= Priority); + Dividend.Stringize(Dividend.Priority < Priority) + " mod " + Divisor.Stringize(Divisor.Priority <= Priority); /// public override string ToString() => Stringize(); } diff --git a/Sources/Tests/FSharpWrapperUnitTests/Functions.Continuous.fs b/Sources/Tests/FSharpWrapperUnitTests/Functions.Continuous.fs index a9451a572..77376a4a6 100644 --- a/Sources/Tests/FSharpWrapperUnitTests/Functions.Continuous.fs +++ b/Sources/Tests/FSharpWrapperUnitTests/Functions.Continuous.fs @@ -76,8 +76,11 @@ let ``Sqrt test exact`` () = Assert.Equal(parsed "22", sqrt 484) // well. It needs nothing of its own: F# resolves % through op_Modulus, which is what the // operator on Entity compiles to, so the kernel's node is what an F# % builds. [] -let ``Mod operator test`` () = Assert.Equal(parsed "x % 3", x % (parsed 3)) +let ``Mod operator test`` () = Assert.Equal(parsed "x mod 3", x % (parsed 3)) [] let ``Mod operator evaluates`` () = Assert.Equal(parsed 1, (parsed 7 % parsed 3).Evaled) +// The node is the mathematician's mod, so it takes the sign of the divisor and gives 2 here, +// where F#'s own % on two integers would give -1. It is the same operator name over a different +// type, as % over a matrix or a polynomial would be. [] -let ``Mod operator follows the dividend's sign`` () = Assert.Equal(parsed -1, (parsed -7 % parsed 3).Evaled) +let ``Mod operator follows the divisor's sign`` () = Assert.Equal(parsed 2, (parsed -7 % parsed 3).Evaled) diff --git a/Sources/Tests/UnitTests/Convenience/ModulusTest.cs b/Sources/Tests/UnitTests/Convenience/ModulusTest.cs index 14363d792..4e63f5c0a 100644 --- a/Sources/Tests/UnitTests/Convenience/ModulusTest.cs +++ b/Sources/Tests/UnitTests/Convenience/ModulusTest.cs @@ -19,72 +19,82 @@ namespace AngouriMath.Tests.Convenience /// The remainder after division, asked for by /// https://github.com/asc-community/AngouriMath/issues/402 and /// https://github.com/asc-community/AngouriMath/issues/618. There was no node for it at - /// all: % was a parse error and MathS.Mod did not exist. + /// all: there was no mod and no MathS.Mod. /// public sealed class ModulusTest { private static readonly Entity.Variable x = MathS.Var("x"); /// - /// The remainder takes the sign of the dividend -- the truncated convention, which is - /// what C# itself does and what the arbitrary-precision arithmetic underneath does. - /// (-7) % 3 is -1 and not 2, and that has to be pinned, because the Euclidean - /// convention is the other common choice and the two disagree on every negative - /// dividend. + /// The remainder takes the sign of the divisor -- the floored convention, a - b*floor(a/b). + /// This is what a mathematician means by mod: it is the convention under which the + /// residues modulo n are the numbers from 0 to n - 1, and it is what SymPy, Mathematica + /// and Maxima all answer. C and its descendants truncate instead and so give -1 for + /// -7 mod 3, but their % is an operation on machine integers rather than this one. + /// Pinned because the two conventions disagree on every case where the signs differ. /// [Theory] - [InlineData("7 % 3", "1")] - [InlineData("(-7) % 3", "-1")] - [InlineData("7 % (-3)", "1")] - [InlineData("(-7) % (-3)", "-1")] - [InlineData("6 % 3", "0")] - [InlineData("2 % 5", "2")] - [InlineData("7.5 % 2", "3/2")] - [InlineData("(1/2) % (1/3)", "1/6")] - public void TheRemainderFollowsTheDividendsSign(string expression, string expected) => + [InlineData("7 mod 3", "1")] + [InlineData("(-7) mod 3", "2")] + [InlineData("7 mod (-3)", "-2")] + [InlineData("(-7) mod (-3)", "-1")] + [InlineData("6 mod 3", "0")] + [InlineData("(-6) mod 3", "0")] + [InlineData("2 mod 5", "2")] + [InlineData("7.5 mod 2", "3/2")] + [InlineData("(1/2) mod (1/3)", "1/6")] + public void TheRemainderFollowsTheDivisorsSign(string expression, string expected) => Assert.Equal(expected.ToEntity().Evaled, expression.ToEntity().Evaled); /// Dividing by zero is undefined, as it is for the quotient. [Fact] public void ByZeroIsUndefined() => - Assert.Equal(MathS.NaN.Evaled, "7 % 0".ToEntity().Evaled); + Assert.Equal(MathS.NaN.Evaled, "7 mod 0".ToEntity().Evaled); /// - /// % binds as tightly as * and /, and associates to the left, which is what it does in - /// C# and what anyone writing the expression will assume. + /// mod binds as tightly as * and /, and associates to the left. Every one of these is a + /// case where the two conventions agree, so what is being pinned is the grouping and + /// nothing else. /// [Theory] - [InlineData("2 * 7 % 3", 2 * 7 % 3)] - [InlineData("7 % 3 * 2", 7 % 3 * 2)] - [InlineData("12 / 4 % 2", 12 / 4 % 2)] - [InlineData("1 + 7 % 3", 1 + 7 % 3)] - [InlineData("7 % 3 + 1", 7 % 3 + 1)] - [InlineData("2 ^ 3 % 3", 8 % 3)] - [InlineData("-7 % 3", -7 % 3)] - public void ItBindsLikeItDoesInCSharp(string expression, int expected) => + [InlineData("2 * 7 mod 3", 2)] + [InlineData("7 mod 3 * 2", 2)] + [InlineData("12 / 4 mod 2", 1)] + [InlineData("1 + 7 mod 3", 2)] + [InlineData("7 mod 3 + 1", 2)] + [InlineData("2 ^ 3 mod 3", 2)] + public void ItBindsAsTightlyAsTimesAndDivide(string expression, int expected) => Assert.Equal(Entity.Number.Integer.Create(expected), expression.ToEntity().Evaled); + /// + /// mod is written out, and % is left alone -- it is percent in mathematical writing, and + /// the parser should stay free to mean that by it. + /// + [Fact] + public void PercentIsNotTheParsersModulus() => + Assert.Throws(() => "7 % 3".ToEntity()); + [Fact] public void TheOperatorBuildsTheSameNodeAsTheParser() => - Assert.Equal("x % 3".ToEntity(), x % 3); + Assert.Equal("x mod 3".ToEntity(), x % 3); [Fact] public void MathSModBuildsTheSameNodeAsTheParser() => - Assert.Equal("x % 3".ToEntity(), MathS.Mod(x, 3)); + Assert.Equal("x mod 3".ToEntity(), MathS.Mod(x, 3)); [Fact] public void ItStringizesBackToWhatWasParsed() => - Assert.Equal("x % 3", "x % 3".ToEntity().Stringize()); + Assert.Equal("x mod 3", "x mod 3".ToEntity().Stringize()); [Fact] public void ItLatexisesAsBmod() => - Assert.Equal(@"x \bmod 3", "x % 3".ToEntity().Latexise()); + Assert.Equal(@"x \bmod 3", "x mod 3".ToEntity().Latexise()); [Theory] - [InlineData("x % x", "0")] - [InlineData("(x + 1) % (x + 1)", "0")] - [InlineData("0 % x", "0")] - [InlineData("(x % 3) % 3", "x % 3")] + [InlineData("x mod x", "0")] + [InlineData("(x + 1) mod (x + 1)", "0")] + [InlineData("0 mod x", "0")] + [InlineData("(x mod 3) mod 3", "x mod 3")] public void TheIdentitiesThatHoldWhereverTheNodeIsDefined(string expression, string expected) { var simplified = expression.ToEntity().Simplify(); @@ -95,42 +105,42 @@ public void TheIdentitiesThatHoldWhereverTheNodeIsDefined(string expression, str } /// - /// x % 1 is 0 only for whole x -- 2.5 % 1 is 0.5 -- so it must not be reduced for a + /// x mod 1 is 0 only for whole x -- 2.5 mod 1 is 0.5 -- so it must not be reduced for a /// variable that could be anything. /// [Fact] public void ItIsNotReducedWhereTheIdentityDoesNotHold() => - Assert.Equal("x % 1".ToEntity(), "x % 1".ToEntity().Simplify()); + Assert.Equal("x mod 1".ToEntity(), "x mod 1".ToEntity().Simplify()); [Fact] public void SubstitutionGoesThrough() => - Assert.Equal(Entity.Number.Integer.Create(1), "x % 3".ToEntity().Substitute("x", 10).Evaled); + Assert.Equal(Entity.Number.Integer.Create(1), "x mod 3".ToEntity().Substitute("x", 10).Evaled); /// - /// a % b is a - b * floor(a / b), so where b does not depend on the variable the + /// a mod b is a - b * floor(a / b), so where b does not depend on the variable the /// derivative is the dividend's own, away from the jumps. Where b does depend on it, /// nothing is claimed: this library has no floor node, so the general case could only /// be written as something that is wrong at the jumps. /// [Theory] - [InlineData("x % 3", "1")] - [InlineData("x ^ 2 % 3", "2 * x")] + [InlineData("x mod 3", "1")] + [InlineData("x ^ 2 mod 3", "2 * x")] public void TheDerivativeIsTheDividendsWhereTheDivisorIsConstant(string expression, string expected) => Assert.Equal(expected.ToEntity(), expression.ToEntity().Differentiate("x").Simplify()); [Fact] public void TheDerivativeIsLeftAloneWhereTheDivisorMoves() => - Assert.IsType("5 % x".ToEntity().Differentiate("x").Simplify()); + Assert.IsType("5 mod x".ToEntity().Differentiate("x").Simplify()); /// /// The remainder is continuous except where the dividend reaches a non-zero multiple of /// the divisor. Zero is not one of those: the remainder takes the dividend's sign, so - /// x % 3 is x on either side of 0. + /// x mod 3 is x on either side of 0. /// [Theory] - [InlineData("x % 3", "2", "2")] - [InlineData("x % 3", "0", "0")] - [InlineData("x ^ 2 % 5", "2", "4")] + [InlineData("x mod 3", "2", "2")] + [InlineData("x mod 3", "0", "0")] + [InlineData("x ^ 2 mod 5", "2", "4")] public void ALimitAtAPointItIsContinuousAtIsTheValueThere(string expression, string destination, string expected) => Assert.Equal(expected.ToEntity().Evaled, expression.ToEntity().Limit("x", destination.ToEntity()).Simplify().Evaled); @@ -144,8 +154,8 @@ public void ALimitAtAPointItIsContinuousAtIsTheValueThere(string expression, str /// evaluation, and that is a cycle. /// [Theory] - [InlineData("x % 3", "3")] - [InlineData("x % 3", "+oo")] + [InlineData("x mod 3", "3")] + [InlineData("x mod 3", "+oo")] public void AJumpIsLeftUnevaluatedAndTerminates(string expression, string destination) { var task = System.Threading.Tasks.Task.Run( @@ -161,36 +171,36 @@ public void AJumpIsLeftUnevaluatedAndTerminates(string expression, string destin /// [Theory] [InlineData(7, 1)] - [InlineData(-7, -1)] + [InlineData(-7, 2)] [InlineData(6, 0)] public void TheStackMachineAgreesWithTheInterpreter(int at, int expected) { - var compiled = "x % 3".ToEntity().Compile("x"); + var compiled = "x mod 3".ToEntity().Compile("x"); Assert.Equal(expected, compiled.Call(new Complex(at, 0)).Real, 9); } [Fact] public void TheStackMachineRefusesANonRealArgument() => - Assert.True(double.IsNaN("x % 3".ToEntity().Compile("x").Call(new Complex(2, 1)).Real)); + Assert.True(double.IsNaN("x mod 3".ToEntity().Compile("x").Call(new Complex(2, 1)).Real)); [Theory] [InlineData(7, 1)] - [InlineData(-7, -1)] + [InlineData(-7, 2)] public void TheLinqCompilerAgreesWithTheInterpreter(int at, int expected) => - Assert.Equal(expected, "x % 3".ToEntity().Compile("x")(at)); + Assert.Equal(expected, "x mod 3".ToEntity().Compile("x")(at)); [Fact] public void TheLinqCompilerKeepsTheFractionalPart() => - Assert.Equal(1.5, "x % y".ToEntity().Compile("x", "y")(7.5, 2), 9); + Assert.Equal(1.5, "x mod y".ToEntity().Compile("x", "y")(7.5, 2), 9); /// - /// x % a = value has one solution per period, so answering it means introducing an + /// x mod a = value has one solution per period, so answering it means introducing an /// integer parameter the way the trigonometric inversions do. Until that is written, no /// solutions is the honest answer, and a wrong one would be worse. Pinned so that /// whoever writes it sees this change. /// [Fact] public void SolvingIsNotClaimed() => - Assert.Empty(("x % 3".ToEntity() - 1).SolveEquation("x").DirectChildren); + Assert.Empty(("x mod 3".ToEntity() - 1).SolveEquation("x").DirectChildren); } }