From 124909be3b4c34e4089b764c102d65e39c268827 Mon Sep 17 00:00:00 2001 From: Rafael Vuijk Date: Mon, 21 Sep 2026 05:17:28 +0000 Subject: [PATCH] ... is the pattern operator: the progression the shown terms determine, up to the term after it MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit The smaller half of #1437. {1, 2, ..., n}, {2, 4, ..., 2 n}, {5, 10, 15, ...}, {..., -1, 0}, {k - 2, ..., k + 2}, 1 + 2 + ... + n and 1 * 2 * ... * n parse -- also with … -- as the arithmetic progression of whole numbers the shown terms determine: the step is the difference of the first two, or one where a single term is shown on each side, every further shown term is checked against it, and the term after the dots is where it stops. Nothing new is built: a set is ZZ /\ [a; z] for step one and a residue class cut by the interval otherwise, listed when the ends are numbers and written over a symbolic end, a one-sided pattern the class cut by a ray; a sum is sum(k, k, a, z) and a product the same, with a + d k as the term for another step. Refused, with a message saying which: shown terms with no common step ({1, 4, 9, ...} is a guess about the writer's rule, not a progression), a progression that is not of whole numbers (the image of a range has no node yet), and dots with nothing to determine them. The general term with an index shown and the argument list of symbolic length are the larger half and wait for v3's family of names. https://github.com/asc-community/AngouriMath/issues/1437 Co-Authored-By: Claude Opus 5 (1M context) Claude-Session: https://claude.ai/code/session_012sonx8iAspMiwRwokT1Ura --- BREAKING-CHANGES.md | 21 + Sources/.editorconfig | 6 + Sources/AngouriMath/Core/Antlr/AngouriMath.g | 38 +- .../AngouriMath/Core/Antlr/AngouriMath.interp | 7 +- .../AngouriMath/Core/Antlr/AngouriMath.tokens | 346 +- .../Core/Antlr/AngouriMathBaseListener.cs | 12 + .../Core/Antlr/AngouriMathLexer.cs | 1049 +++--- .../Core/Antlr/AngouriMathLexer.interp | 8 +- .../Core/Antlr/AngouriMathLexer.tokens | 346 +- .../Core/Antlr/AngouriMathListener.cs | 10 + .../Core/Antlr/AngouriMathParser.cs | 3330 ++++++++++------- Sources/AngouriMath/Core/PatternOperator.cs | 171 + Sources/AngouriMath/Docs/Usage/Syntax.md | 1 + .../UnitTests/Core/PatternOperatorTest.cs | 104 + 14 files changed, 3261 insertions(+), 2188 deletions(-) create mode 100644 Sources/AngouriMath/Core/PatternOperator.cs create mode 100644 Sources/Tests/UnitTests/Core/PatternOperatorTest.cs diff --git a/BREAKING-CHANGES.md b/BREAKING-CHANGES.md index 0f49076de..ced53ccae 100644 --- a/BREAKING-CHANGES.md +++ b/BREAKING-CHANGES.md @@ -656,6 +656,27 @@ with the multiplier gathered from the whole product in the exponent | `"e^(2*acoth(2*x))*(3 - 12*x^2)^2".Integrate("x")` | `integral(…)` — left unevaluated | `(144 * x ^ 5 / 5 + 144 * x ^ 4 / 4 + (-36) * x ^ 2 / 2 + (-9) * x provided not 2 * x + -1 = 0) + C` | | `"e^(1/3*acoth(x))*x^2".Integrate("x")` | `integral(…)` — left unevaluated | an antiderivative in `((x + 1)/(x - 1))^(1/6)` | +### `...` is the pattern operator + +`{1, 2, ..., n}`, `{2, 4, ..., 2 n}`, `{5, 10, 15, ...}`, `{..., -1, 0}`, `1 + 2 + ... + n` and +`1 * 2 * ... * n` parse — also with `…` — as the arithmetic progression of whole numbers the shown +terms determine, up to the term after the dots: a set is `ZZ /\ [a; z]` for step one and a residue +class cut by the interval otherwise, listed when the ends are numbers; a sum is `sum(k, k, 1, n)` +and a product `product(k, k, 1, n)`, with `a + d k` as the term for another step. Shown terms with +no common step, a progression that is not of whole numbers, and dots with nothing to determine +them are refused with a message saying which. The smaller half of +[#1437](https://github.com/asc-community/AngouriMath/issues/1437); the general term with an index +shown and the argument list of symbolic length wait for v3. Every one of these was a parse error. + +| Input | Was (2.5.0) | Now | +|---|---|---| +| `{1, 2, ..., 10}` | `UnhandledParseException` | `{ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 }` | +| `{1, 2, ..., n}` | `UnhandledParseException` | `ZZ /\ [1; n]` | +| `7 in {1, 3, 5, ...}` | `UnhandledParseException` | `True` | +| `1 + 2 + ... + 100` | `UnhandledParseException` | `5050` | +| `1 * 2 * ... * n` | `UnhandledParseException` | `product(k, k, 1, n)`, which is `n!` for `n >= 1` | +| `{1, 4, 9, ..., n}` | `UnhandledParseException` | `InvalidArgumentParseException`, naming the term off the progression | + ### `binomial(n, k)` is a function **Addition, not silent.** The binomial coefficient is a node, `Entity.Binomialf`, spelled diff --git a/Sources/.editorconfig b/Sources/.editorconfig index 07869921d..4d1cc500b 100644 --- a/Sources/.editorconfig +++ b/Sources/.editorconfig @@ -291,6 +291,12 @@ file_header_template=\nCopyright (c) 2019-2026 Angouri.\nAngouriMath is licensed [AngouriMath/Functions/NumberTheory/ResidueClasses.cs] file_header_template=\nCopyright (c) 2019-2026 Angouri.\nAngouriMath is licensed under MIT.\nDetails: https://github.com/asc-community/AngouriMath/blob/master/LICENSE.md.\nWebsite: https://am.angouri.org.\n +[AngouriMath/Core/PatternOperator.cs] +file_header_template=\nCopyright (c) 2019-2026 Angouri.\nAngouriMath is licensed under MIT.\nDetails: https://github.com/asc-community/AngouriMath/blob/master/LICENSE.md.\nWebsite: https://am.angouri.org.\n + +[Tests/UnitTests/Core/PatternOperatorTest.cs] +file_header_template=\nCopyright (c) 2019-2026 Angouri.\nAngouriMath is licensed under MIT.\nDetails: https://github.com/asc-community/AngouriMath/blob/master/LICENSE.md.\nWebsite: https://am.angouri.org.\n + [Tests/UnitTests/Core/Sets/IndexedSetOperationTest.cs] file_header_template=\nCopyright (c) 2019-2026 Angouri.\nAngouriMath is licensed under MIT.\nDetails: https://github.com/asc-community/AngouriMath/blob/master/LICENSE.md.\nWebsite: https://am.angouri.org.\n diff --git a/Sources/AngouriMath/Core/Antlr/AngouriMath.g b/Sources/AngouriMath/Core/Antlr/AngouriMath.g index bca4cde3b..0f8cfe901 100644 --- a/Sources/AngouriMath/Core/Antlr/AngouriMath.g +++ b/Sources/AngouriMath/Core/Antlr/AngouriMath.g @@ -107,17 +107,29 @@ unary_expression returns[Entity value] | p = power_expression { $value = $p.value; } ; +/* `1 * 2 * ... * n` is the product of the progression the shown factors determine: the + factors are collected, and where dots stood among them the pattern operator builds the + product. Without dots the fold is the same as it was. https://github.com/asc-community/AngouriMath/issues/1437 */ 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; } | - 'mod' u2 = unary_expression { $value = $value % $u2.value; })* + @init { Entity beforeDots = null; Entity afterDots = null; bool mixed = false; } + : u1 = unary_expression { $value = $u1.value; } + ('*' ( ('...' | '…') { if (beforeDots is not null) throw new InvalidArgumentParseException("A product written with dots has one ... in it"); beforeDots = $value; } + | u2 = unary_expression { if (beforeDots is null) $value = $value * $u2.value; else if (afterDots is null) afterDots = $u2.value; else throw new InvalidArgumentParseException("A product written with dots ends with the one factor after them, as 1 * 2 * ... * n"); } ) | + '/' u2 = unary_expression { $value = $value / $u2.value; mixed = true; } | + 'mod' u2 = unary_expression { $value = $value % $u2.value; mixed = true; })* + { if (beforeDots is not null) $value = AngouriMath.Core.PatternOperator.SumOrProduct(mixed ? null : Mulf.LinearChildren(beforeDots), afterDots, product: true); } ; - + +/* `1 + 2 + ... + n` is the sum of the progression the shown terms determine, the same way. The + terms before the dots are read off the folded sum, so that a sum without dots allocates + nothing it did not. */ sum_expression returns[Entity value] + @init { Entity beforeDots = null; Entity afterDots = null; } : m1 = mult_expression { $value = $m1.value; } - ('+' m2 = mult_expression { $value = $value + $m2.value; } | - '-' m2 = mult_expression { $value = $value - $m2.value; })* + ('+' ( ('...' | '…') { if (beforeDots is not null) throw new InvalidArgumentParseException("A sum written with dots has one ... in it"); beforeDots = $value; } + | m2 = mult_expression { if (beforeDots is null) $value = $value + $m2.value; else if (afterDots is null) afterDots = $m2.value; else throw new InvalidArgumentParseException("A sum written with dots ends with the one term after them, as 1 + 2 + ... + n"); } ) | + '-' m2 = mult_expression { if (beforeDots is null) $value = $value - $m2.value; else throw new InvalidArgumentParseException("A sum written with dots ends with the one term after them, as 1 + 2 + ... + n"); })* + { if (beforeDots is not null) $value = AngouriMath.Core.PatternOperator.SumOrProduct(Sumf.LinearChildren(beforeDots), afterDots, product: false); } ; /* @@ -380,6 +392,16 @@ function_arguments returns[List list] : (e = expression { $list.Add($e.value); } (',' e = expression { $list.Add($e.value); })*)? ; +/* The items of a set literal, with `...` (or `…`) allowed among them: a listed set as it + was, or a pattern -- {1, 2, ..., n}, {2, 4, 6, ...}, {..., -1, 0} -- which the pattern + operator reads as the progression the shown terms determine. A null stands for the dots. + https://github.com/asc-community/AngouriMath/issues/1437 */ +set_items returns[List list] + @init { $list = new List(); } + : ( ( e = expression { $list.Add($e.value); } | ('...' | '…') { $list.Add(null); } ) + (',' ( e = expression { $list.Add($e.value); } | ('...' | '…') { $list.Add(null); } ))* )? + ; + interval_arguments returns[(Entity from, Entity to) couple] : from = expression { $couple.from = $from.value; } ';' to = expression { $couple.to = $to.value; } ; @@ -418,7 +440,7 @@ atom returns[Entity value] | '(' interval_arguments ']' { $value = new Entity.Set.Interval($interval_arguments.couple.from, false, $interval_arguments.couple.to, true); } | '(' expression ')' { $value = $expression.value; } | '{' cset_args = cset_arguments '}' { $value = new ConditionalSet($cset_args.couple.variable, $cset_args.couple.predicate); } - | '{' args = function_arguments '}' { $value = new FiniteSet((IEnumerable)$args.list); } + | '{' items = set_items '}' { $value = $items.list.Contains(null) ? AngouriMath.Core.PatternOperator.Set($items.list) : new FiniteSet($items.list.Cast()); } | 'log(' args = function_arguments ')' { $value = Assert("log", (1, 2), $args.list.Count) ? MathS.Log(10, $args.list[0]) : MathS.Log($args.list[0], $args.list[1]); } | 'log10(' args = function_arguments ')' { Assert("log10", 1, $args.list.Count); $value = MathS.Log(10, $args.list[0]); } | 'log2(' args = function_arguments ')' { Assert("log2", 1, $args.list.Count); $value = MathS.Log(2, $args.list[0]); } diff --git a/Sources/AngouriMath/Core/Antlr/AngouriMath.interp b/Sources/AngouriMath/Core/Antlr/AngouriMath.interp index 09c10f876..37b70e1c0 100644 --- a/Sources/AngouriMath/Core/Antlr/AngouriMath.interp +++ b/Sources/AngouriMath/Core/Antlr/AngouriMath.interp @@ -5,6 +5,8 @@ null '-' '+' '*' +'...' +'…' '/' 'mod' 'intersect' @@ -345,6 +347,8 @@ null null null null +null +null NEWLINE NUMBER SPECIALSET @@ -376,6 +380,7 @@ quantified_expression quantifier_keyword quantified_names function_arguments +set_items interval_arguments cset_arguments atom @@ -383,4 +388,4 @@ statement atn: -[4, 1, 175, 1019, 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, 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0, 0, 1048, 863, 1, 0, 0, 0, 1048, 868, 1, 0, 0, 0, 1048, 873, 1, 0, 0, 0, 1048, 878, 1, 0, 0, 0, 1048, 883, 1, 0, 0, 0, 1048, 888, 1, 0, 0, 0, 1048, 893, 1, 0, 0, 0, 1048, 898, 1, 0, 0, 0, 1048, 903, 1, 0, 0, 0, 1048, 908, 1, 0, 0, 0, 1048, 913, 1, 0, 0, 0, 1048, 918, 1, 0, 0, 0, 1048, 923, 1, 0, 0, 0, 1048, 928, 1, 0, 0, 0, 1048, 933, 1, 0, 0, 0, 1048, 938, 1, 0, 0, 0, 1048, 943, 1, 0, 0, 0, 1048, 948, 1, 0, 0, 0, 1048, 953, 1, 0, 0, 0, 1048, 958, 1, 0, 0, 0, 1048, 963, 1, 0, 0, 0, 1048, 968, 1, 0, 0, 0, 1048, 973, 1, 0, 0, 0, 1048, 978, 1, 0, 0, 0, 1048, 983, 1, 0, 0, 0, 1048, 988, 1, 0, 0, 0, 1048, 993, 1, 0, 0, 0, 1048, 998, 1, 0, 0, 0, 1048, 1003, 1, 0, 0, 0, 1048, 1008, 1, 0, 0, 0, 1048, 1013, 1, 0, 0, 0, 1048, 1018, 1, 0, 0, 0, 1048, 1023, 1, 0, 0, 0, 1048, 1028, 1, 0, 0, 0, 1048, 1033, 1, 0, 0, 0, 1048, 1038, 1, 0, 0, 0, 1048, 1043, 1, 0, 0, 0, 1049, 49, 1, 0, 0, 0, 1050, 1051, 3, 32, 16, 0, 1051, 1052, 5, 0, 0, 1, 1052, 1053, 6, 25, -1, 0, 1053, 51, 1, 0, 0, 0, 42, 59, 67, 75, 77, 84, 94, 104, 109, 119, 129, 131, 144, 150, 152, 167, 169, 190, 192, 225, 227, 246, 253, 262, 281, 293, 295, 306, 317, 330, 332, 341, 349, 354, 368, 378, 391, 394, 401, 409, 413, 416, 1048] \ No newline at end of file diff --git a/Sources/AngouriMath/Core/Antlr/AngouriMath.tokens b/Sources/AngouriMath/Core/Antlr/AngouriMath.tokens index 425ad0017..70b31e160 100644 --- a/Sources/AngouriMath/Core/Antlr/AngouriMath.tokens +++ b/Sources/AngouriMath/Core/Antlr/AngouriMath.tokens @@ -165,179 +165,183 @@ T__163=164 T__164=165 T__165=166 T__166=167 -NEWLINE=168 -NUMBER=169 -SPECIALSET=170 -BOOLEAN=171 -NAN=172 -VARIABLE=173 -COMMENT=174 -WS=175 +T__167=168 +T__168=169 +NEWLINE=170 +NUMBER=171 +SPECIALSET=172 +BOOLEAN=173 +NAN=174 +VARIABLE=175 +COMMENT=176 +WS=177 '!'=1 '^'=2 '-'=3 '+'=4 '*'=5 -'/'=6 -'mod'=7 -'intersect'=8 -'/\\'=9 -'unite'=10 -'\\/'=11 -'setsubtract'=12 -'\\'=13 -'in'=14 -'subset'=15 -'⊆'=16 -'superset'=17 -'⊇'=18 -'divides'=19 -'|'=20 -'>='=21 -'<='=22 -'>'=23 -'<'=24 -'='=25 -'<>'=26 -'≡'=27 -'('=28 -')'=29 -'not'=30 -'and'=31 -'&'=32 -'xor'=33 -'or'=34 -'implies'=35 -'->'=36 -'provided'=37 -'=>'=38 -':'=39 -'forall'=40 -'∀'=41 -'exists!'=42 -'∃!'=43 -'exists'=44 -'∃'=45 -','=46 -';'=47 -'+oo'=48 -'-oo'=49 -'(|'=50 -'|)'=51 -'#'=52 -'['=53 -']T'=54 -']'=55 -'{'=56 -'}'=57 -'log('=58 -'log10('=59 -'log2('=60 -'pow('=61 -'sqrt('=62 -'cbrt('=63 -'sqr('=64 -'ln('=65 -'exp('=66 -'sin('=67 -'cos('=68 -'tan('=69 -'cotan('=70 -'cot('=71 -'sec('=72 -'cosec('=73 -'csc('=74 -'arcsin('=75 -'arccos('=76 -'arctan('=77 -'arccotan('=78 -'arcsec('=79 -'arccosec('=80 -'arccsc('=81 -'acsc('=82 -'asin('=83 -'acos('=84 -'atan('=85 -'acotan('=86 -'asec('=87 -'acosec('=88 -'acot('=89 -'arccot('=90 -'sinh('=91 -'sh('=92 -'cosh('=93 -'ch('=94 -'tanh('=95 -'th('=96 -'cotanh('=97 -'coth('=98 -'cth('=99 -'sech('=100 -'sch('=101 -'cosech('=102 -'csch('=103 -'asinh('=104 -'arsinh('=105 -'arsh('=106 -'arcsinh('=107 -'acosh('=108 -'arcosh('=109 -'arch('=110 -'arccosh('=111 -'atanh('=112 -'artanh('=113 -'arth('=114 -'arctanh('=115 -'acoth('=116 -'arcoth('=117 -'acotanh('=118 -'arcotanh('=119 -'arcth('=120 -'arccotanh('=121 -'asech('=122 -'arsech('=123 -'arsch('=124 -'arcsech('=125 -'acosech('=126 -'arcosech('=127 -'arcsch('=128 -'arccosech('=129 -'acsch('=130 -'factorial('=131 -'gamma('=132 -'derivative('=133 -'integral('=134 -'limit('=135 -'limitleft('=136 -'limitright('=137 -'sum('=138 -'product('=139 -'signum('=140 -'sgn('=141 -'sign('=142 -'abs('=143 -'phi('=144 -'card('=145 -'powerset('=146 -'union('=147 -'intersection('=148 -'complement('=149 -'floor('=150 -'ceil('=151 -'ceiling('=152 -'round('=153 -'min('=154 -'max('=155 -'argmax('=156 -'argmin('=157 -'gcd('=158 -'lcm('=159 -'binomial('=160 -'trunc('=161 -'erf('=162 -'conjugate('=163 -'domain('=164 -'piecewise('=165 -'apply('=166 -'lambda('=167 -'NaN'=172 +'...'=6 +'…'=7 +'/'=8 +'mod'=9 +'intersect'=10 +'/\\'=11 +'unite'=12 +'\\/'=13 +'setsubtract'=14 +'\\'=15 +'in'=16 +'subset'=17 +'⊆'=18 +'superset'=19 +'⊇'=20 +'divides'=21 +'|'=22 +'>='=23 +'<='=24 +'>'=25 +'<'=26 +'='=27 +'<>'=28 +'≡'=29 +'('=30 +')'=31 +'not'=32 +'and'=33 +'&'=34 +'xor'=35 +'or'=36 +'implies'=37 +'->'=38 +'provided'=39 +'=>'=40 +':'=41 +'forall'=42 +'∀'=43 +'exists!'=44 +'∃!'=45 +'exists'=46 +'∃'=47 +','=48 +';'=49 +'+oo'=50 +'-oo'=51 +'(|'=52 +'|)'=53 +'#'=54 +'['=55 +']T'=56 +']'=57 +'{'=58 +'}'=59 +'log('=60 +'log10('=61 +'log2('=62 +'pow('=63 +'sqrt('=64 +'cbrt('=65 +'sqr('=66 +'ln('=67 +'exp('=68 +'sin('=69 +'cos('=70 +'tan('=71 +'cotan('=72 +'cot('=73 +'sec('=74 +'cosec('=75 +'csc('=76 +'arcsin('=77 +'arccos('=78 +'arctan('=79 +'arccotan('=80 +'arcsec('=81 +'arccosec('=82 +'arccsc('=83 +'acsc('=84 +'asin('=85 +'acos('=86 +'atan('=87 +'acotan('=88 +'asec('=89 +'acosec('=90 +'acot('=91 +'arccot('=92 +'sinh('=93 +'sh('=94 +'cosh('=95 +'ch('=96 +'tanh('=97 +'th('=98 +'cotanh('=99 +'coth('=100 +'cth('=101 +'sech('=102 +'sch('=103 +'cosech('=104 +'csch('=105 +'asinh('=106 +'arsinh('=107 +'arsh('=108 +'arcsinh('=109 +'acosh('=110 +'arcosh('=111 +'arch('=112 +'arccosh('=113 +'atanh('=114 +'artanh('=115 +'arth('=116 +'arctanh('=117 +'acoth('=118 +'arcoth('=119 +'acotanh('=120 +'arcotanh('=121 +'arcth('=122 +'arccotanh('=123 +'asech('=124 +'arsech('=125 +'arsch('=126 +'arcsech('=127 +'acosech('=128 +'arcosech('=129 +'arcsch('=130 +'arccosech('=131 +'acsch('=132 +'factorial('=133 +'gamma('=134 +'derivative('=135 +'integral('=136 +'limit('=137 +'limitleft('=138 +'limitright('=139 +'sum('=140 +'product('=141 +'signum('=142 +'sgn('=143 +'sign('=144 +'abs('=145 +'phi('=146 +'card('=147 +'powerset('=148 +'union('=149 +'intersection('=150 +'complement('=151 +'floor('=152 +'ceil('=153 +'ceiling('=154 +'round('=155 +'min('=156 +'max('=157 +'argmax('=158 +'argmin('=159 +'gcd('=160 +'lcm('=161 +'binomial('=162 +'trunc('=163 +'erf('=164 +'conjugate('=165 +'domain('=166 +'piecewise('=167 +'apply('=168 +'lambda('=169 +'NaN'=174 diff --git a/Sources/AngouriMath/Core/Antlr/AngouriMathBaseListener.cs b/Sources/AngouriMath/Core/Antlr/AngouriMathBaseListener.cs index 870b62159..2592db96a 100644 --- a/Sources/AngouriMath/Core/Antlr/AngouriMathBaseListener.cs +++ b/Sources/AngouriMath/Core/Antlr/AngouriMathBaseListener.cs @@ -289,6 +289,18 @@ public virtual void EnterFunction_arguments([NotNull] AngouriMathParser.Function /// The parse tree. public virtual void ExitFunction_arguments([NotNull] AngouriMathParser.Function_argumentsContext context) { } /// + /// Enter a parse tree produced by . + /// The default implementation does nothing. + /// + /// The parse tree. + public virtual void EnterSet_items([NotNull] AngouriMathParser.Set_itemsContext context) { } + /// + /// Exit a parse tree produced by . + /// The default implementation does nothing. + /// + /// The parse tree. + public virtual void ExitSet_items([NotNull] AngouriMathParser.Set_itemsContext context) { } + /// /// Enter a parse tree produced by . /// The default implementation does nothing. /// diff --git a/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.cs b/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.cs index d320d4af2..f7e079bc4 100644 --- a/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.cs +++ b/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.cs @@ -59,8 +59,8 @@ public const int T__149=150, T__150=151, T__151=152, T__152=153, T__153=154, T__154=155, T__155=156, T__156=157, T__157=158, T__158=159, T__159=160, T__160=161, T__161=162, T__162=163, T__163=164, T__164=165, T__165=166, T__166=167, - NEWLINE=168, NUMBER=169, SPECIALSET=170, BOOLEAN=171, NAN=172, VARIABLE=173, - COMMENT=174, WS=175; + T__167=168, T__168=169, NEWLINE=170, NUMBER=171, SPECIALSET=172, BOOLEAN=173, + NAN=174, VARIABLE=175, COMMENT=176, WS=177; public static string[] channelNames = { "DEFAULT_TOKEN_CHANNEL", "HIDDEN" }; @@ -91,9 +91,9 @@ public const int "T__140", "T__141", "T__142", "T__143", "T__144", "T__145", "T__146", "T__147", "T__148", "T__149", "T__150", "T__151", "T__152", "T__153", "T__154", "T__155", "T__156", "T__157", "T__158", "T__159", "T__160", - "T__161", "T__162", "T__163", "T__164", "T__165", "T__166", "NEWLINE", - "EXPONENT", "NUMBER", "SPECIALSET", "BOOLEAN", "NAN", "VARIABLE", "COMMENT", - "WS" + "T__161", "T__162", "T__163", "T__164", "T__165", "T__166", "T__167", + "T__168", "NEWLINE", "EXPONENT", "NUMBER", "SPECIALSET", "BOOLEAN", "NAN", + "VARIABLE", "COMMENT", "WS" }; @@ -114,32 +114,32 @@ public AngouriMathLexer(ICharStream input, TextWriter output, TextWriter errorOu } private static readonly string[] _LiteralNames = { - null, "'!'", "'^'", "'-'", "'+'", "'*'", "'/'", "'mod'", "'intersect'", - "'/\\'", "'unite'", "'\\/'", "'setsubtract'", "'\\'", "'in'", "'subset'", - "'\\u2286'", "'superset'", "'\\u2287'", "'divides'", "'|'", "'>='", "'<='", - "'>'", "'<'", "'='", "'<>'", "'\\u2261'", "'('", "')'", "'not'", "'and'", - "'&'", "'xor'", "'or'", "'implies'", "'->'", "'provided'", "'=>'", "':'", - "'forall'", "'\\u2200'", "'exists!'", "'\\u2203!'", "'exists'", "'\\u2203'", - "','", "';'", "'+oo'", "'-oo'", "'(|'", "'|)'", "'#'", "'['", "']T'", - "']'", "'{'", "'}'", "'log('", "'log10('", "'log2('", "'pow('", "'sqrt('", - "'cbrt('", "'sqr('", "'ln('", "'exp('", "'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('", "'factorial('", - "'gamma('", "'derivative('", "'integral('", "'limit('", "'limitleft('", - "'limitright('", "'sum('", "'product('", "'signum('", "'sgn('", "'sign('", - "'abs('", "'phi('", "'card('", "'powerset('", "'union('", "'intersection('", - "'complement('", "'floor('", "'ceil('", "'ceiling('", "'round('", "'min('", - "'max('", "'argmax('", "'argmin('", "'gcd('", "'lcm('", "'binomial('", - "'trunc('", "'erf('", "'conjugate('", "'domain('", "'piecewise('", "'apply('", - "'lambda('", null, null, null, null, "'NaN'" + null, "'!'", "'^'", "'-'", "'+'", "'*'", "'...'", "'\\u2026'", "'/'", + "'mod'", "'intersect'", "'/\\'", "'unite'", "'\\/'", "'setsubtract'", + "'\\'", "'in'", "'subset'", "'\\u2286'", "'superset'", "'\\u2287'", "'divides'", + "'|'", "'>='", "'<='", "'>'", "'<'", "'='", "'<>'", "'\\u2261'", "'('", + "')'", "'not'", "'and'", "'&'", "'xor'", "'or'", "'implies'", "'->'", + "'provided'", "'=>'", "':'", "'forall'", "'\\u2200'", "'exists!'", "'\\u2203!'", + "'exists'", "'\\u2203'", "','", "';'", "'+oo'", "'-oo'", "'(|'", "'|)'", + "'#'", "'['", "']T'", "']'", "'{'", "'}'", "'log('", "'log10('", "'log2('", + "'pow('", "'sqrt('", "'cbrt('", "'sqr('", "'ln('", "'exp('", "'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('", "'factorial('", "'gamma('", "'derivative('", "'integral('", + "'limit('", "'limitleft('", "'limitright('", "'sum('", "'product('", "'signum('", + "'sgn('", "'sign('", "'abs('", "'phi('", "'card('", "'powerset('", "'union('", + "'intersection('", "'complement('", "'floor('", "'ceil('", "'ceiling('", + "'round('", "'min('", "'max('", "'argmax('", "'argmin('", "'gcd('", "'lcm('", + "'binomial('", "'trunc('", "'erf('", "'conjugate('", "'domain('", "'piecewise('", + "'apply('", "'lambda('", null, null, null, null, "'NaN'" }; private static readonly string[] _SymbolicNames = { null, null, null, null, null, null, null, null, null, null, null, null, @@ -156,8 +156,8 @@ 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, - "NEWLINE", "NUMBER", "SPECIALSET", "BOOLEAN", "NAN", "VARIABLE", "COMMENT", - "WS" + null, null, "NEWLINE", "NUMBER", "SPECIALSET", "BOOLEAN", "NAN", "VARIABLE", + "COMMENT", "WS" }; public static readonly IVocabulary DefaultVocabulary = new Vocabulary(_LiteralNames, _SymbolicNames); @@ -187,7 +187,7 @@ static AngouriMathLexer() { } } private static int[] _serializedATN = { - 4,0,175,1506,6,-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, + 4,0,177,1516,6,-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, @@ -213,496 +213,499 @@ static AngouriMathLexer() { 7,152,2,153,7,153,2,154,7,154,2,155,7,155,2,156,7,156,2,157,7,157,2,158, 7,158,2,159,7,159,2,160,7,160,2,161,7,161,2,162,7,162,2,163,7,163,2,164, 7,164,2,165,7,165,2,166,7,166,2,167,7,167,2,168,7,168,2,169,7,169,2,170, - 7,170,2,171,7,171,2,172,7,172,2,173,7,173,2,174,7,174,2,175,7,175,1,0, - 1,0,1,1,1,1,1,2,1,2,1,3,1,3,1,4,1,4,1,5,1,5,1,6,1,6,1,6,1,6,1,7,1,7,1, - 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, - 1,12,1,12,1,13,1,13,1,13,1,14,1,14,1,14,1,14,1,14,1,14,1,14,1,15,1,15, - 1,16,1,16,1,16,1,16,1,16,1,16,1,16,1,16,1,16,1,17,1,17,1,18,1,18,1,18, - 1,18,1,18,1,18,1,18,1,18,1,19,1,19,1,20,1,20,1,20,1,21,1,21,1,21,1,22, - 1,22,1,23,1,23,1,24,1,24,1,25,1,25,1,25,1,26,1,26,1,27,1,27,1,28,1,28, - 1,29,1,29,1,29,1,29,1,30,1,30,1,30,1,30,1,31,1,31,1,32,1,32,1,32,1,32, - 1,33,1,33,1,33,1,34,1,34,1,34,1,34,1,34,1,34,1,34,1,34,1,35,1,35,1,35, - 1,36,1,36,1,36,1,36,1,36,1,36,1,36,1,36,1,36,1,37,1,37,1,37,1,38,1,38, - 1,39,1,39,1,39,1,39,1,39,1,39,1,39,1,40,1,40,1,41,1,41,1,41,1,41,1,41, - 1,41,1,41,1,41,1,42,1,42,1,42,1,43,1,43,1,43,1,43,1,43,1,43,1,43,1,44, - 1,44,1,45,1,45,1,46,1,46,1,47,1,47,1,47,1,47,1,48,1,48,1,48,1,48,1,49, - 1,49,1,49,1,50,1,50,1,50,1,51,1,51,1,52,1,52,1,53,1,53,1,53,1,54,1,54, - 1,55,1,55,1,56,1,56,1,57,1,57,1,57,1,57,1,57,1,58,1,58,1,58,1,58,1,58, - 1,58,1,58,1,59,1,59,1,59,1,59,1,59,1,59,1,60,1,60,1,60,1,60,1,60,1,61, - 1,61,1,61,1,61,1,61,1,61,1,62,1,62,1,62,1,62,1,62,1,62,1,63,1,63,1,63, - 1,63,1,63,1,64,1,64,1,64,1,64,1,65,1,65,1,65,1,65,1,65,1,66,1,66,1,66, - 1,66,1,66,1,67,1,67,1,67,1,67,1,67,1,68,1,68,1,68,1,68,1,68,1,69,1,69, - 1,69,1,69,1,69,1,69,1,69,1,70,1,70,1,70,1,70,1,70,1,71,1,71,1,71,1,71, - 1,71,1,72,1,72,1,72,1,72,1,72,1,72,1,72,1,73,1,73,1,73,1,73,1,73,1,74, - 1,74,1,74,1,74,1,74,1,74,1,74,1,74,1,75,1,75,1,75,1,75,1,75,1,75,1,75, - 1,75,1,76,1,76,1,76,1,76,1,76,1,76,1,76,1,76,1,77,1,77,1,77,1,77,1,77, - 1,77,1,77,1,77,1,77,1,77,1,78,1,78,1,78,1,78,1,78,1,78,1,78,1,78,1,79, - 1,79,1,79,1,79,1,79,1,79,1,79,1,79,1,79,1,79,1,80,1,80,1,80,1,80,1,80, - 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, - 1,82,1,83,1,83,1,83,1,83,1,83,1,83,1,84,1,84,1,84,1,84,1,84,1,84,1,85, - 1,85,1,85,1,85,1,85,1,85,1,85,1,85,1,86,1,86,1,86,1,86,1,86,1,86,1,87, - 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, - 1,89,1,89,1,89,1,89,1,89,1,89,1,89,1,90,1,90,1,90,1,90,1,90,1,90,1,91, - 1,91,1,91,1,91,1,92,1,92,1,92,1,92,1,92,1,92,1,93,1,93,1,93,1,93,1,94, - 1,94,1,94,1,94,1,94,1,94,1,95,1,95,1,95,1,95,1,96,1,96,1,96,1,96,1,96, - 1,96,1,96,1,96,1,97,1,97,1,97,1,97,1,97,1,97,1,98,1,98,1,98,1,98,1,98, + 7,170,2,171,7,171,2,172,7,172,2,173,7,173,2,174,7,174,2,175,7,175,2,176, + 7,176,2,177,7,177,1,0,1,0,1,1,1,1,1,2,1,2,1,3,1,3,1,4,1,4,1,5,1,5,1,5, + 1,5,1,6,1,6,1,7,1,7,1,8,1,8,1,8,1,8,1,9,1,9,1,9,1,9,1,9,1,9,1,9,1,9,1, + 9,1,9,1,10,1,10,1,10,1,11,1,11,1,11,1,11,1,11,1,11,1,12,1,12,1,12,1,13, + 1,13,1,13,1,13,1,13,1,13,1,13,1,13,1,13,1,13,1,13,1,13,1,14,1,14,1,15, + 1,15,1,15,1,16,1,16,1,16,1,16,1,16,1,16,1,16,1,17,1,17,1,18,1,18,1,18, + 1,18,1,18,1,18,1,18,1,18,1,18,1,19,1,19,1,20,1,20,1,20,1,20,1,20,1,20, + 1,20,1,20,1,21,1,21,1,22,1,22,1,22,1,23,1,23,1,23,1,24,1,24,1,25,1,25, + 1,26,1,26,1,27,1,27,1,27,1,28,1,28,1,29,1,29,1,30,1,30,1,31,1,31,1,31, + 1,31,1,32,1,32,1,32,1,32,1,33,1,33,1,34,1,34,1,34,1,34,1,35,1,35,1,35, + 1,36,1,36,1,36,1,36,1,36,1,36,1,36,1,36,1,37,1,37,1,37,1,38,1,38,1,38, + 1,38,1,38,1,38,1,38,1,38,1,38,1,39,1,39,1,39,1,40,1,40,1,41,1,41,1,41, + 1,41,1,41,1,41,1,41,1,42,1,42,1,43,1,43,1,43,1,43,1,43,1,43,1,43,1,43, + 1,44,1,44,1,44,1,45,1,45,1,45,1,45,1,45,1,45,1,45,1,46,1,46,1,47,1,47, + 1,48,1,48,1,49,1,49,1,49,1,49,1,50,1,50,1,50,1,50,1,51,1,51,1,51,1,52, + 1,52,1,52,1,53,1,53,1,54,1,54,1,55,1,55,1,55,1,56,1,56,1,57,1,57,1,58, + 1,58,1,59,1,59,1,59,1,59,1,59,1,60,1,60,1,60,1,60,1,60,1,60,1,60,1,61, + 1,61,1,61,1,61,1,61,1,61,1,62,1,62,1,62,1,62,1,62,1,63,1,63,1,63,1,63, + 1,63,1,63,1,64,1,64,1,64,1,64,1,64,1,64,1,65,1,65,1,65,1,65,1,65,1,66, + 1,66,1,66,1,66,1,67,1,67,1,67,1,67,1,67,1,68,1,68,1,68,1,68,1,68,1,69, + 1,69,1,69,1,69,1,69,1,70,1,70,1,70,1,70,1,70,1,71,1,71,1,71,1,71,1,71, + 1,71,1,71,1,72,1,72,1,72,1,72,1,72,1,73,1,73,1,73,1,73,1,73,1,74,1,74, + 1,74,1,74,1,74,1,74,1,74,1,75,1,75,1,75,1,75,1,75,1,76,1,76,1,76,1,76, + 1,76,1,76,1,76,1,76,1,77,1,77,1,77,1,77,1,77,1,77,1,77,1,77,1,78,1,78, + 1,78,1,78,1,78,1,78,1,78,1,78,1,79,1,79,1,79,1,79,1,79,1,79,1,79,1,79, + 1,79,1,79,1,80,1,80,1,80,1,80,1,80,1,80,1,80,1,80,1,81,1,81,1,81,1,81, + 1,81,1,81,1,81,1,81,1,81,1,81,1,82,1,82,1,82,1,82,1,82,1,82,1,82,1,82, + 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, + 1,85,1,85,1,85,1,85,1,86,1,86,1,86,1,86,1,86,1,86,1,87,1,87,1,87,1,87, + 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, + 1,89,1,89,1,89,1,89,1,90,1,90,1,90,1,90,1,90,1,90,1,91,1,91,1,91,1,91, + 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, + 1,94,1,94,1,94,1,94,1,94,1,94,1,95,1,95,1,95,1,95,1,96,1,96,1,96,1,96, + 1,96,1,96,1,97,1,97,1,97,1,97,1,98,1,98,1,98,1,98,1,98,1,98,1,98,1,98, 1,99,1,99,1,99,1,99,1,99,1,99,1,100,1,100,1,100,1,100,1,100,1,101,1,101, - 1,101,1,101,1,101,1,101,1,101,1,101,1,102,1,102,1,102,1,102,1,102,1,102, - 1,103,1,103,1,103,1,103,1,103,1,103,1,103,1,104,1,104,1,104,1,104,1,104, - 1,104,1,104,1,104,1,105,1,105,1,105,1,105,1,105,1,105,1,106,1,106,1,106, - 1,106,1,106,1,106,1,106,1,106,1,106,1,107,1,107,1,107,1,107,1,107,1,107, - 1,107,1,108,1,108,1,108,1,108,1,108,1,108,1,108,1,108,1,109,1,109,1,109, - 1,109,1,109,1,109,1,110,1,110,1,110,1,110,1,110,1,110,1,110,1,110,1,110, - 1,111,1,111,1,111,1,111,1,111,1,111,1,111,1,112,1,112,1,112,1,112,1,112, - 1,112,1,112,1,112,1,113,1,113,1,113,1,113,1,113,1,113,1,114,1,114,1,114, - 1,114,1,114,1,114,1,114,1,114,1,114,1,115,1,115,1,115,1,115,1,115,1,115, - 1,115,1,116,1,116,1,116,1,116,1,116,1,116,1,116,1,116,1,117,1,117,1,117, - 1,117,1,117,1,117,1,117,1,117,1,117,1,118,1,118,1,118,1,118,1,118,1,118, - 1,118,1,118,1,118,1,118,1,119,1,119,1,119,1,119,1,119,1,119,1,119,1,120, - 1,120,1,120,1,120,1,120,1,120,1,120,1,120,1,120,1,120,1,120,1,121,1,121, - 1,121,1,121,1,121,1,121,1,121,1,122,1,122,1,122,1,122,1,122,1,122,1,122, - 1,122,1,123,1,123,1,123,1,123,1,123,1,123,1,123,1,124,1,124,1,124,1,124, - 1,124,1,124,1,124,1,124,1,124,1,125,1,125,1,125,1,125,1,125,1,125,1,125, - 1,125,1,125,1,126,1,126,1,126,1,126,1,126,1,126,1,126,1,126,1,126,1,126, - 1,127,1,127,1,127,1,127,1,127,1,127,1,127,1,127,1,128,1,128,1,128,1,128, - 1,128,1,128,1,128,1,128,1,128,1,128,1,128,1,129,1,129,1,129,1,129,1,129, - 1,129,1,129,1,130,1,130,1,130,1,130,1,130,1,130,1,130,1,130,1,130,1,130, - 1,130,1,131,1,131,1,131,1,131,1,131,1,131,1,131,1,132,1,132,1,132,1,132, - 1,132,1,132,1,132,1,132,1,132,1,132,1,132,1,132,1,133,1,133,1,133,1,133, - 1,133,1,133,1,133,1,133,1,133,1,133,1,134,1,134,1,134,1,134,1,134,1,134, - 1,134,1,135,1,135,1,135,1,135,1,135,1,135,1,135,1,135,1,135,1,135,1,135, - 1,136,1,136,1,136,1,136,1,136,1,136,1,136,1,136,1,136,1,136,1,136,1,136, - 1,137,1,137,1,137,1,137,1,137,1,138,1,138,1,138,1,138,1,138,1,138,1,138, - 1,138,1,138,1,139,1,139,1,139,1,139,1,139,1,139,1,139,1,139,1,140,1,140, - 1,140,1,140,1,140,1,141,1,141,1,141,1,141,1,141,1,141,1,142,1,142,1,142, - 1,142,1,142,1,143,1,143,1,143,1,143,1,143,1,144,1,144,1,144,1,144,1,144, - 1,144,1,145,1,145,1,145,1,145,1,145,1,145,1,145,1,145,1,145,1,145,1,146, - 1,146,1,146,1,146,1,146,1,146,1,146,1,147,1,147,1,147,1,147,1,147,1,147, - 1,147,1,147,1,147,1,147,1,147,1,147,1,147,1,147,1,148,1,148,1,148,1,148, - 1,148,1,148,1,148,1,148,1,148,1,148,1,148,1,148,1,149,1,149,1,149,1,149, - 1,149,1,149,1,149,1,150,1,150,1,150,1,150,1,150,1,150,1,151,1,151,1,151, - 1,151,1,151,1,151,1,151,1,151,1,151,1,152,1,152,1,152,1,152,1,152,1,152, - 1,152,1,153,1,153,1,153,1,153,1,153,1,154,1,154,1,154,1,154,1,154,1,155, - 1,155,1,155,1,155,1,155,1,155,1,155,1,155,1,156,1,156,1,156,1,156,1,156, - 1,156,1,156,1,156,1,157,1,157,1,157,1,157,1,157,1,158,1,158,1,158,1,158, - 1,158,1,159,1,159,1,159,1,159,1,159,1,159,1,159,1,159,1,159,1,159,1,160, - 1,160,1,160,1,160,1,160,1,160,1,160,1,161,1,161,1,161,1,161,1,161,1,162, - 1,162,1,162,1,162,1,162,1,162,1,162,1,162,1,162,1,162,1,162,1,163,1,163, - 1,163,1,163,1,163,1,163,1,163,1,163,1,164,1,164,1,164,1,164,1,164,1,164, - 1,164,1,164,1,164,1,164,1,164,1,165,1,165,1,165,1,165,1,165,1,165,1,165, - 1,166,1,166,1,166,1,166,1,166,1,166,1,166,1,166,1,167,3,167,1362,8,167, - 1,167,4,167,1365,8,167,11,167,12,167,1366,1,167,1,167,1,168,1,168,3,168, - 1373,8,168,1,168,4,168,1376,8,168,11,168,12,168,1377,1,169,4,169,1381, - 8,169,11,169,12,169,1382,1,169,1,169,5,169,1387,8,169,10,169,12,169,1390, - 9,169,1,169,3,169,1393,8,169,1,169,3,169,1396,8,169,1,169,3,169,1399,8, - 169,1,169,4,169,1402,8,169,11,169,12,169,1403,1,169,3,169,1407,8,169,1, - 169,3,169,1410,8,169,1,169,3,169,1413,8,169,1,170,1,170,1,170,1,170,1, - 170,1,170,1,170,1,170,1,170,1,170,1,170,1,170,1,170,1,170,1,170,1,170, - 3,170,1431,8,170,1,171,1,171,1,171,1,171,1,171,1,171,1,171,1,171,1,171, - 1,171,1,171,1,171,1,171,1,171,1,171,1,171,1,171,1,171,3,171,1451,8,171, - 1,172,1,172,1,172,1,172,1,173,4,173,1458,8,173,11,173,12,173,1459,1,173, - 1,173,4,173,1464,8,173,11,173,12,173,1465,3,173,1468,8,173,1,174,1,174, - 1,174,1,174,5,174,1474,8,174,10,174,12,174,1477,9,174,1,174,3,174,1480, - 8,174,1,174,3,174,1483,8,174,1,174,1,174,1,174,1,174,5,174,1489,8,174, - 10,174,12,174,1492,9,174,1,174,1,174,3,174,1496,8,174,1,174,1,174,1,175, - 4,175,1501,8,175,11,175,12,175,1502,1,175,1,175,1,1490,0,176,1,1,3,2,5, - 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, - 129,259,130,261,131,263,132,265,133,267,134,269,135,271,136,273,137,275, - 138,277,139,279,140,281,141,283,142,285,143,287,144,289,145,291,146,293, - 147,295,148,297,149,299,150,301,151,303,152,305,153,307,154,309,155,311, - 156,313,157,315,158,317,159,319,160,321,161,323,162,325,163,327,164,329, - 165,331,166,333,167,335,168,337,0,339,169,341,170,343,171,345,172,347, - 173,349,174,351,175,1,0,6,2,0,69,69,101,101,2,0,43,43,45,45,4,0,65,90, - 97,122,880,1279,7936,8191,5,0,48,57,65,90,97,122,880,1279,7936,8191,2, - 0,10,10,13,13,2,0,9,9,32,32,1536,0,1,1,0,0,0,0,3,1,0,0,0,0,5,1,0,0,0,0, - 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, - 255,1,0,0,0,0,257,1,0,0,0,0,259,1,0,0,0,0,261,1,0,0,0,0,263,1,0,0,0,0, - 265,1,0,0,0,0,267,1,0,0,0,0,269,1,0,0,0,0,271,1,0,0,0,0,273,1,0,0,0,0, - 275,1,0,0,0,0,277,1,0,0,0,0,279,1,0,0,0,0,281,1,0,0,0,0,283,1,0,0,0,0, - 285,1,0,0,0,0,287,1,0,0,0,0,289,1,0,0,0,0,291,1,0,0,0,0,293,1,0,0,0,0, - 295,1,0,0,0,0,297,1,0,0,0,0,299,1,0,0,0,0,301,1,0,0,0,0,303,1,0,0,0,0, - 305,1,0,0,0,0,307,1,0,0,0,0,309,1,0,0,0,0,311,1,0,0,0,0,313,1,0,0,0,0, - 315,1,0,0,0,0,317,1,0,0,0,0,319,1,0,0,0,0,321,1,0,0,0,0,323,1,0,0,0,0, - 325,1,0,0,0,0,327,1,0,0,0,0,329,1,0,0,0,0,331,1,0,0,0,0,333,1,0,0,0,0, - 335,1,0,0,0,0,339,1,0,0,0,0,341,1,0,0,0,0,343,1,0,0,0,0,345,1,0,0,0,0, - 347,1,0,0,0,0,349,1,0,0,0,0,351,1,0,0,0,1,353,1,0,0,0,3,355,1,0,0,0,5, - 357,1,0,0,0,7,359,1,0,0,0,9,361,1,0,0,0,11,363,1,0,0,0,13,365,1,0,0,0, - 15,369,1,0,0,0,17,379,1,0,0,0,19,382,1,0,0,0,21,388,1,0,0,0,23,391,1,0, - 0,0,25,403,1,0,0,0,27,405,1,0,0,0,29,408,1,0,0,0,31,415,1,0,0,0,33,417, - 1,0,0,0,35,426,1,0,0,0,37,428,1,0,0,0,39,436,1,0,0,0,41,438,1,0,0,0,43, - 441,1,0,0,0,45,444,1,0,0,0,47,446,1,0,0,0,49,448,1,0,0,0,51,450,1,0,0, - 0,53,453,1,0,0,0,55,455,1,0,0,0,57,457,1,0,0,0,59,459,1,0,0,0,61,463,1, - 0,0,0,63,467,1,0,0,0,65,469,1,0,0,0,67,473,1,0,0,0,69,476,1,0,0,0,71,484, - 1,0,0,0,73,487,1,0,0,0,75,496,1,0,0,0,77,499,1,0,0,0,79,501,1,0,0,0,81, - 508,1,0,0,0,83,510,1,0,0,0,85,518,1,0,0,0,87,521,1,0,0,0,89,528,1,0,0, - 0,91,530,1,0,0,0,93,532,1,0,0,0,95,534,1,0,0,0,97,538,1,0,0,0,99,542,1, - 0,0,0,101,545,1,0,0,0,103,548,1,0,0,0,105,550,1,0,0,0,107,552,1,0,0,0, - 109,555,1,0,0,0,111,557,1,0,0,0,113,559,1,0,0,0,115,561,1,0,0,0,117,566, - 1,0,0,0,119,573,1,0,0,0,121,579,1,0,0,0,123,584,1,0,0,0,125,590,1,0,0, - 0,127,596,1,0,0,0,129,601,1,0,0,0,131,605,1,0,0,0,133,610,1,0,0,0,135, - 615,1,0,0,0,137,620,1,0,0,0,139,625,1,0,0,0,141,632,1,0,0,0,143,637,1, - 0,0,0,145,642,1,0,0,0,147,649,1,0,0,0,149,654,1,0,0,0,151,662,1,0,0,0, - 153,670,1,0,0,0,155,678,1,0,0,0,157,688,1,0,0,0,159,696,1,0,0,0,161,706, - 1,0,0,0,163,714,1,0,0,0,165,720,1,0,0,0,167,726,1,0,0,0,169,732,1,0,0, - 0,171,738,1,0,0,0,173,746,1,0,0,0,175,752,1,0,0,0,177,760,1,0,0,0,179, - 766,1,0,0,0,181,774,1,0,0,0,183,780,1,0,0,0,185,784,1,0,0,0,187,790,1, - 0,0,0,189,794,1,0,0,0,191,800,1,0,0,0,193,804,1,0,0,0,195,812,1,0,0,0, - 197,818,1,0,0,0,199,823,1,0,0,0,201,829,1,0,0,0,203,834,1,0,0,0,205,842, - 1,0,0,0,207,848,1,0,0,0,209,855,1,0,0,0,211,863,1,0,0,0,213,869,1,0,0, - 0,215,878,1,0,0,0,217,885,1,0,0,0,219,893,1,0,0,0,221,899,1,0,0,0,223, - 908,1,0,0,0,225,915,1,0,0,0,227,923,1,0,0,0,229,929,1,0,0,0,231,938,1, - 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1137,5,115,0,0,1137,1138,5,117,0,0,1138,1139,5,109,0,0,1139,1140,5,40, - 0,0,1140,276,1,0,0,0,1141,1142,5,112,0,0,1142,1143,5,114,0,0,1143,1144, - 5,111,0,0,1144,1145,5,100,0,0,1145,1146,5,117,0,0,1146,1147,5,99,0,0,1147, - 1148,5,116,0,0,1148,1149,5,40,0,0,1149,278,1,0,0,0,1150,1151,5,115,0,0, - 1151,1152,5,105,0,0,1152,1153,5,103,0,0,1153,1154,5,110,0,0,1154,1155, - 5,117,0,0,1155,1156,5,109,0,0,1156,1157,5,40,0,0,1157,280,1,0,0,0,1158, - 1159,5,115,0,0,1159,1160,5,103,0,0,1160,1161,5,110,0,0,1161,1162,5,40, - 0,0,1162,282,1,0,0,0,1163,1164,5,115,0,0,1164,1165,5,105,0,0,1165,1166, - 5,103,0,0,1166,1167,5,110,0,0,1167,1168,5,40,0,0,1168,284,1,0,0,0,1169, - 1170,5,97,0,0,1170,1171,5,98,0,0,1171,1172,5,115,0,0,1172,1173,5,40,0, - 0,1173,286,1,0,0,0,1174,1175,5,112,0,0,1175,1176,5,104,0,0,1176,1177,5, - 105,0,0,1177,1178,5,40,0,0,1178,288,1,0,0,0,1179,1180,5,99,0,0,1180,1181, - 5,97,0,0,1181,1182,5,114,0,0,1182,1183,5,100,0,0,1183,1184,5,40,0,0,1184, - 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0,0,1456,1457,5,97,0,0,1457,1458,5,108,0,0,1458,1459,5,115,0,0,1459,1461, + 5,101,0,0,1460,1442,1,0,0,0,1460,1446,1,0,0,0,1460,1450,1,0,0,0,1460,1455, + 1,0,0,0,1461,348,1,0,0,0,1462,1463,5,78,0,0,1463,1464,5,97,0,0,1464,1465, + 5,78,0,0,1465,350,1,0,0,0,1466,1468,7,2,0,0,1467,1466,1,0,0,0,1468,1469, + 1,0,0,0,1469,1467,1,0,0,0,1469,1470,1,0,0,0,1470,1477,1,0,0,0,1471,1473, + 5,95,0,0,1472,1474,7,3,0,0,1473,1472,1,0,0,0,1474,1475,1,0,0,0,1475,1473, + 1,0,0,0,1475,1476,1,0,0,0,1476,1478,1,0,0,0,1477,1471,1,0,0,0,1477,1478, + 1,0,0,0,1478,352,1,0,0,0,1479,1480,5,47,0,0,1480,1481,5,47,0,0,1481,1485, + 1,0,0,0,1482,1484,8,4,0,0,1483,1482,1,0,0,0,1484,1487,1,0,0,0,1485,1483, + 1,0,0,0,1485,1486,1,0,0,0,1486,1492,1,0,0,0,1487,1485,1,0,0,0,1488,1490, + 5,13,0,0,1489,1488,1,0,0,0,1489,1490,1,0,0,0,1490,1491,1,0,0,0,1491,1493, + 5,10,0,0,1492,1489,1,0,0,0,1492,1493,1,0,0,0,1493,1506,1,0,0,0,1494,1495, + 5,47,0,0,1495,1496,5,42,0,0,1496,1500,1,0,0,0,1497,1499,9,0,0,0,1498,1497, + 1,0,0,0,1499,1502,1,0,0,0,1500,1501,1,0,0,0,1500,1498,1,0,0,0,1501,1503, + 1,0,0,0,1502,1500,1,0,0,0,1503,1504,5,42,0,0,1504,1506,5,47,0,0,1505,1479, + 1,0,0,0,1505,1494,1,0,0,0,1506,1507,1,0,0,0,1507,1508,6,176,0,0,1508,354, + 1,0,0,0,1509,1511,7,5,0,0,1510,1509,1,0,0,0,1511,1512,1,0,0,0,1512,1510, + 1,0,0,0,1512,1513,1,0,0,0,1513,1514,1,0,0,0,1514,1515,6,177,0,0,1515,356, + 1,0,0,0,25,0,1371,1376,1382,1387,1392,1398,1402,1405,1408,1413,1416,1419, + 1422,1440,1460,1469,1475,1477,1485,1489,1492,1500,1505,1512,1,6,0,0 }; public static readonly ATN _ATN = diff --git a/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.interp b/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.interp index 03cf1d837..c82a6b35a 100644 --- a/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.interp +++ b/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.interp @@ -5,6 +5,8 @@ null '-' '+' '*' +'...' +'…' '/' 'mod' 'intersect' @@ -345,6 +347,8 @@ null null null null +null +null NEWLINE NUMBER SPECIALSET @@ -522,6 +526,8 @@ T__163 T__164 T__165 T__166 +T__167 +T__168 NEWLINE EXPONENT NUMBER @@ -540,4 +546,4 @@ mode names: DEFAULT_MODE atn: -[4, 0, 175, 1506, 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, 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1478, 1, 0, 0, 0, 1478, 352, 1, 0, 0, 0, 1479, 1480, 5, 47, 0, 0, 1480, 1481, 5, 47, 0, 0, 1481, 1485, 1, 0, 0, 0, 1482, 1484, 8, 4, 0, 0, 1483, 1482, 1, 0, 0, 0, 1484, 1487, 1, 0, 0, 0, 1485, 1483, 1, 0, 0, 0, 1485, 1486, 1, 0, 0, 0, 1486, 1492, 1, 0, 0, 0, 1487, 1485, 1, 0, 0, 0, 1488, 1490, 5, 13, 0, 0, 1489, 1488, 1, 0, 0, 0, 1489, 1490, 1, 0, 0, 0, 1490, 1491, 1, 0, 0, 0, 1491, 1493, 5, 10, 0, 0, 1492, 1489, 1, 0, 0, 0, 1492, 1493, 1, 0, 0, 0, 1493, 1506, 1, 0, 0, 0, 1494, 1495, 5, 47, 0, 0, 1495, 1496, 5, 42, 0, 0, 1496, 1500, 1, 0, 0, 0, 1497, 1499, 9, 0, 0, 0, 1498, 1497, 1, 0, 0, 0, 1499, 1502, 1, 0, 0, 0, 1500, 1501, 1, 0, 0, 0, 1500, 1498, 1, 0, 0, 0, 1501, 1503, 1, 0, 0, 0, 1502, 1500, 1, 0, 0, 0, 1503, 1504, 5, 42, 0, 0, 1504, 1506, 5, 47, 0, 0, 1505, 1479, 1, 0, 0, 0, 1505, 1494, 1, 0, 0, 0, 1506, 1507, 1, 0, 0, 0, 1507, 1508, 6, 176, 0, 0, 1508, 354, 1, 0, 0, 0, 1509, 1511, 7, 5, 0, 0, 1510, 1509, 1, 0, 0, 0, 1511, 1512, 1, 0, 0, 0, 1512, 1510, 1, 0, 0, 0, 1512, 1513, 1, 0, 0, 0, 1513, 1514, 1, 0, 0, 0, 1514, 1515, 6, 177, 0, 0, 1515, 356, 1, 0, 0, 0, 25, 0, 1371, 1376, 1382, 1387, 1392, 1398, 1402, 1405, 1408, 1413, 1416, 1419, 1422, 1440, 1460, 1469, 1475, 1477, 1485, 1489, 1492, 1500, 1505, 1512, 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 425ad0017..70b31e160 100644 --- a/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.tokens +++ b/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.tokens @@ -165,179 +165,183 @@ T__163=164 T__164=165 T__165=166 T__166=167 -NEWLINE=168 -NUMBER=169 -SPECIALSET=170 -BOOLEAN=171 -NAN=172 -VARIABLE=173 -COMMENT=174 -WS=175 +T__167=168 +T__168=169 +NEWLINE=170 +NUMBER=171 +SPECIALSET=172 +BOOLEAN=173 +NAN=174 +VARIABLE=175 +COMMENT=176 +WS=177 '!'=1 '^'=2 '-'=3 '+'=4 '*'=5 -'/'=6 -'mod'=7 -'intersect'=8 -'/\\'=9 -'unite'=10 -'\\/'=11 -'setsubtract'=12 -'\\'=13 -'in'=14 -'subset'=15 -'⊆'=16 -'superset'=17 -'⊇'=18 -'divides'=19 -'|'=20 -'>='=21 -'<='=22 -'>'=23 -'<'=24 -'='=25 -'<>'=26 -'≡'=27 -'('=28 -')'=29 -'not'=30 -'and'=31 -'&'=32 -'xor'=33 -'or'=34 -'implies'=35 -'->'=36 -'provided'=37 -'=>'=38 -':'=39 -'forall'=40 -'∀'=41 -'exists!'=42 -'∃!'=43 -'exists'=44 -'∃'=45 -','=46 -';'=47 -'+oo'=48 -'-oo'=49 -'(|'=50 -'|)'=51 -'#'=52 -'['=53 -']T'=54 -']'=55 -'{'=56 -'}'=57 -'log('=58 -'log10('=59 -'log2('=60 -'pow('=61 -'sqrt('=62 -'cbrt('=63 -'sqr('=64 -'ln('=65 -'exp('=66 -'sin('=67 -'cos('=68 -'tan('=69 -'cotan('=70 -'cot('=71 -'sec('=72 -'cosec('=73 -'csc('=74 -'arcsin('=75 -'arccos('=76 -'arctan('=77 -'arccotan('=78 -'arcsec('=79 -'arccosec('=80 -'arccsc('=81 -'acsc('=82 -'asin('=83 -'acos('=84 -'atan('=85 -'acotan('=86 -'asec('=87 -'acosec('=88 -'acot('=89 -'arccot('=90 -'sinh('=91 -'sh('=92 -'cosh('=93 -'ch('=94 -'tanh('=95 -'th('=96 -'cotanh('=97 -'coth('=98 -'cth('=99 -'sech('=100 -'sch('=101 -'cosech('=102 -'csch('=103 -'asinh('=104 -'arsinh('=105 -'arsh('=106 -'arcsinh('=107 -'acosh('=108 -'arcosh('=109 -'arch('=110 -'arccosh('=111 -'atanh('=112 -'artanh('=113 -'arth('=114 -'arctanh('=115 -'acoth('=116 -'arcoth('=117 -'acotanh('=118 -'arcotanh('=119 -'arcth('=120 -'arccotanh('=121 -'asech('=122 -'arsech('=123 -'arsch('=124 -'arcsech('=125 -'acosech('=126 -'arcosech('=127 -'arcsch('=128 -'arccosech('=129 -'acsch('=130 -'factorial('=131 -'gamma('=132 -'derivative('=133 -'integral('=134 -'limit('=135 -'limitleft('=136 -'limitright('=137 -'sum('=138 -'product('=139 -'signum('=140 -'sgn('=141 -'sign('=142 -'abs('=143 -'phi('=144 -'card('=145 -'powerset('=146 -'union('=147 -'intersection('=148 -'complement('=149 -'floor('=150 -'ceil('=151 -'ceiling('=152 -'round('=153 -'min('=154 -'max('=155 -'argmax('=156 -'argmin('=157 -'gcd('=158 -'lcm('=159 -'binomial('=160 -'trunc('=161 -'erf('=162 -'conjugate('=163 -'domain('=164 -'piecewise('=165 -'apply('=166 -'lambda('=167 -'NaN'=172 +'...'=6 +'…'=7 +'/'=8 +'mod'=9 +'intersect'=10 +'/\\'=11 +'unite'=12 +'\\/'=13 +'setsubtract'=14 +'\\'=15 +'in'=16 +'subset'=17 +'⊆'=18 +'superset'=19 +'⊇'=20 +'divides'=21 +'|'=22 +'>='=23 +'<='=24 +'>'=25 +'<'=26 +'='=27 +'<>'=28 +'≡'=29 +'('=30 +')'=31 +'not'=32 +'and'=33 +'&'=34 +'xor'=35 +'or'=36 +'implies'=37 +'->'=38 +'provided'=39 +'=>'=40 +':'=41 +'forall'=42 +'∀'=43 +'exists!'=44 +'∃!'=45 +'exists'=46 +'∃'=47 +','=48 +';'=49 +'+oo'=50 +'-oo'=51 +'(|'=52 +'|)'=53 +'#'=54 +'['=55 +']T'=56 +']'=57 +'{'=58 +'}'=59 +'log('=60 +'log10('=61 +'log2('=62 +'pow('=63 +'sqrt('=64 +'cbrt('=65 +'sqr('=66 +'ln('=67 +'exp('=68 +'sin('=69 +'cos('=70 +'tan('=71 +'cotan('=72 +'cot('=73 +'sec('=74 +'cosec('=75 +'csc('=76 +'arcsin('=77 +'arccos('=78 +'arctan('=79 +'arccotan('=80 +'arcsec('=81 +'arccosec('=82 +'arccsc('=83 +'acsc('=84 +'asin('=85 +'acos('=86 +'atan('=87 +'acotan('=88 +'asec('=89 +'acosec('=90 +'acot('=91 +'arccot('=92 +'sinh('=93 +'sh('=94 +'cosh('=95 +'ch('=96 +'tanh('=97 +'th('=98 +'cotanh('=99 +'coth('=100 +'cth('=101 +'sech('=102 +'sch('=103 +'cosech('=104 +'csch('=105 +'asinh('=106 +'arsinh('=107 +'arsh('=108 +'arcsinh('=109 +'acosh('=110 +'arcosh('=111 +'arch('=112 +'arccosh('=113 +'atanh('=114 +'artanh('=115 +'arth('=116 +'arctanh('=117 +'acoth('=118 +'arcoth('=119 +'acotanh('=120 +'arcotanh('=121 +'arcth('=122 +'arccotanh('=123 +'asech('=124 +'arsech('=125 +'arsch('=126 +'arcsech('=127 +'acosech('=128 +'arcosech('=129 +'arcsch('=130 +'arccosech('=131 +'acsch('=132 +'factorial('=133 +'gamma('=134 +'derivative('=135 +'integral('=136 +'limit('=137 +'limitleft('=138 +'limitright('=139 +'sum('=140 +'product('=141 +'signum('=142 +'sgn('=143 +'sign('=144 +'abs('=145 +'phi('=146 +'card('=147 +'powerset('=148 +'union('=149 +'intersection('=150 +'complement('=151 +'floor('=152 +'ceil('=153 +'ceiling('=154 +'round('=155 +'min('=156 +'max('=157 +'argmax('=158 +'argmin('=159 +'gcd('=160 +'lcm('=161 +'binomial('=162 +'trunc('=163 +'erf('=164 +'conjugate('=165 +'domain('=166 +'piecewise('=167 +'apply('=168 +'lambda('=169 +'NaN'=174 diff --git a/Sources/AngouriMath/Core/Antlr/AngouriMathListener.cs b/Sources/AngouriMath/Core/Antlr/AngouriMathListener.cs index 5075e091d..040f2104c 100644 --- a/Sources/AngouriMath/Core/Antlr/AngouriMathListener.cs +++ b/Sources/AngouriMath/Core/Antlr/AngouriMathListener.cs @@ -242,6 +242,16 @@ internal interface IAngouriMathListener : IParseTreeListener { /// The parse tree. void ExitFunction_arguments([NotNull] AngouriMathParser.Function_argumentsContext context); /// + /// Enter a parse tree produced by . + /// + /// The parse tree. + void EnterSet_items([NotNull] AngouriMathParser.Set_itemsContext context); + /// + /// Exit a parse tree produced by . + /// + /// The parse tree. + void ExitSet_items([NotNull] AngouriMathParser.Set_itemsContext context); + /// /// Enter a parse tree produced by . /// /// The parse tree. diff --git a/Sources/AngouriMath/Core/Antlr/AngouriMathParser.cs b/Sources/AngouriMath/Core/Antlr/AngouriMathParser.cs index 9ffdd1afc..1ab4cb776 100644 --- a/Sources/AngouriMath/Core/Antlr/AngouriMathParser.cs +++ b/Sources/AngouriMath/Core/Antlr/AngouriMathParser.cs @@ -71,8 +71,8 @@ public const int T__149=150, T__150=151, T__151=152, T__152=153, T__153=154, T__154=155, T__155=156, T__156=157, T__157=158, T__158=159, T__159=160, T__160=161, T__161=162, T__162=163, T__163=164, T__164=165, T__165=166, T__166=167, - NEWLINE=168, NUMBER=169, SPECIALSET=170, BOOLEAN=171, NAN=172, VARIABLE=173, - COMMENT=174, WS=175; + T__167=168, T__168=169, NEWLINE=170, NUMBER=171, SPECIALSET=172, BOOLEAN=173, + NAN=174, VARIABLE=175, COMMENT=176, WS=177; 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, @@ -81,45 +81,45 @@ public const int RULE_and_expression = 11, RULE_xor_expression = 12, RULE_or_expression = 13, RULE_implies_expression = 14, RULE_provided_expression = 15, RULE_expression = 16, RULE_quantified_expression = 17, RULE_quantifier_keyword = 18, RULE_quantified_names = 19, - RULE_function_arguments = 20, RULE_interval_arguments = 21, RULE_cset_arguments = 22, - RULE_atom = 23, RULE_statement = 24; + RULE_function_arguments = 20, RULE_set_items = 21, RULE_interval_arguments = 22, + RULE_cset_arguments = 23, RULE_atom = 24, RULE_statement = 25; public static readonly string[] ruleNames = { "factorial_expression", "power_list", "power_expression", "unary_expression", "mult_expression", "sum_expression", "set_operator_intersection", "set_operator_union_setsubtraction", "in_operator", "comparison_expression", "negate_expression", "and_expression", "xor_expression", "or_expression", "implies_expression", "provided_expression", "expression", "quantified_expression", "quantifier_keyword", "quantified_names", - "function_arguments", "interval_arguments", "cset_arguments", "atom", - "statement" + "function_arguments", "set_items", "interval_arguments", "cset_arguments", + "atom", "statement" }; private static readonly string[] _LiteralNames = { - null, "'!'", "'^'", "'-'", "'+'", "'*'", "'/'", "'mod'", "'intersect'", - "'/\\'", "'unite'", "'\\/'", "'setsubtract'", "'\\'", "'in'", "'subset'", - "'\\u2286'", "'superset'", "'\\u2287'", "'divides'", "'|'", "'>='", "'<='", - "'>'", "'<'", "'='", "'<>'", "'\\u2261'", "'('", "')'", "'not'", "'and'", - "'&'", "'xor'", "'or'", "'implies'", "'->'", "'provided'", "'=>'", "':'", - "'forall'", "'\\u2200'", "'exists!'", "'\\u2203!'", "'exists'", "'\\u2203'", - "','", "';'", "'+oo'", "'-oo'", "'(|'", "'|)'", "'#'", "'['", "']T'", - "']'", "'{'", "'}'", "'log('", "'log10('", "'log2('", "'pow('", "'sqrt('", - "'cbrt('", "'sqr('", "'ln('", "'exp('", "'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('", "'factorial('", - "'gamma('", "'derivative('", "'integral('", "'limit('", "'limitleft('", - "'limitright('", "'sum('", "'product('", "'signum('", "'sgn('", "'sign('", - "'abs('", "'phi('", "'card('", "'powerset('", "'union('", "'intersection('", - "'complement('", "'floor('", "'ceil('", "'ceiling('", "'round('", "'min('", - "'max('", "'argmax('", "'argmin('", "'gcd('", "'lcm('", "'binomial('", - "'trunc('", "'erf('", "'conjugate('", "'domain('", "'piecewise('", "'apply('", - "'lambda('", null, null, null, null, "'NaN'" + null, "'!'", "'^'", "'-'", "'+'", "'*'", "'...'", "'\\u2026'", "'/'", + "'mod'", "'intersect'", "'/\\'", "'unite'", "'\\/'", "'setsubtract'", + "'\\'", "'in'", "'subset'", "'\\u2286'", "'superset'", "'\\u2287'", "'divides'", + "'|'", "'>='", "'<='", "'>'", "'<'", "'='", "'<>'", "'\\u2261'", "'('", + "')'", "'not'", "'and'", "'&'", "'xor'", "'or'", "'implies'", "'->'", + "'provided'", "'=>'", "':'", "'forall'", "'\\u2200'", "'exists!'", "'\\u2203!'", + "'exists'", "'\\u2203'", "','", "';'", "'+oo'", "'-oo'", "'(|'", "'|)'", + "'#'", "'['", "']T'", "']'", "'{'", "'}'", "'log('", "'log10('", "'log2('", + "'pow('", "'sqrt('", "'cbrt('", "'sqr('", "'ln('", "'exp('", "'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('", "'factorial('", "'gamma('", "'derivative('", "'integral('", + "'limit('", "'limitleft('", "'limitright('", "'sum('", "'product('", "'signum('", + "'sgn('", "'sign('", "'abs('", "'phi('", "'card('", "'powerset('", "'union('", + "'intersection('", "'complement('", "'floor('", "'ceil('", "'ceiling('", + "'round('", "'min('", "'max('", "'argmax('", "'argmin('", "'gcd('", "'lcm('", + "'binomial('", "'trunc('", "'erf('", "'conjugate('", "'domain('", "'piecewise('", + "'apply('", "'lambda('", null, null, null, null, "'NaN'" }; private static readonly string[] _SymbolicNames = { null, null, null, null, null, null, null, null, null, null, null, null, @@ -136,8 +136,8 @@ 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, - "NEWLINE", "NUMBER", "SPECIALSET", "BOOLEAN", "NAN", "VARIABLE", "COMMENT", - "WS" + null, null, "NEWLINE", "NUMBER", "SPECIALSET", "BOOLEAN", "NAN", "VARIABLE", + "COMMENT", "WS" }; public static readonly IVocabulary DefaultVocabulary = new Vocabulary(_LiteralNames, _SymbolicNames); @@ -218,15 +218,15 @@ public Factorial_expressionContext factorial_expression() { Factorial_expressionContext _localctx = new Factorial_expressionContext(Context, State); EnterRule(_localctx, 0, RULE_factorial_expression); try { - State = 57; + State = 59; ErrorHandler.Sync(this); switch ( Interpreter.AdaptivePredict(TokenStream,0,Context) ) { case 1: EnterOuterAlt(_localctx, 1); { - State = 50; + State = 52; _localctx.p = atom(); - State = 51; + State = 53; Match(T__0); _localctx.value = MathS.Factorial(_localctx.p.value); } @@ -234,7 +234,7 @@ public Factorial_expressionContext factorial_expression() { case 2: EnterOuterAlt(_localctx, 2); { - State = 54; + State = 56; _localctx.p = atom(); _localctx.value = _localctx.p.value; } @@ -292,13 +292,13 @@ public Power_listContext power_list() { _localctx.value = new(); try { int _alt; - State = 75; + State = 77; ErrorHandler.Sync(this); switch ( Interpreter.AdaptivePredict(TokenStream,3,Context) ) { case 1: EnterOuterAlt(_localctx, 1); { - State = 63; + State = 65; ErrorHandler.Sync(this); _alt = 1; do { @@ -306,9 +306,9 @@ public Power_listContext power_list() { case 1: { { - State = 59; + State = 61; Match(T__1); - State = 60; + State = 62; _localctx._factorial_expression = factorial_expression(); _localctx.value.Add(_localctx._factorial_expression.value); } @@ -317,7 +317,7 @@ public Power_listContext power_list() { default: throw new NoViableAltException(this); } - State = 65; + State = 67; ErrorHandler.Sync(this); _alt = Interpreter.AdaptivePredict(TokenStream,1,Context); } while ( _alt!=2 && _alt!=global::Antlr4.Runtime.Atn.ATN.INVALID_ALT_NUMBER ); @@ -326,7 +326,7 @@ public Power_listContext power_list() { case 2: EnterOuterAlt(_localctx, 2); { - State = 71; + State = 73; ErrorHandler.Sync(this); _alt = 1; do { @@ -334,9 +334,9 @@ public Power_listContext power_list() { case 1: { { - State = 67; + State = 69; Match(T__1); - State = 68; + State = 70; _localctx._unary_expression = unary_expression(); _localctx.value.Add(_localctx._unary_expression.value); } @@ -345,7 +345,7 @@ public Power_listContext power_list() { default: throw new NoViableAltException(this); } - State = 73; + State = 75; ErrorHandler.Sync(this); _alt = Interpreter.AdaptivePredict(TokenStream,2,Context); } while ( _alt!=2 && _alt!=global::Antlr4.Runtime.Atn.ATN.INVALID_ALT_NUMBER ); @@ -398,15 +398,15 @@ public Power_expressionContext power_expression() { try { EnterOuterAlt(_localctx, 1); { - State = 77; + State = 79; _localctx._factorial_expression = factorial_expression(); _localctx.value = _localctx._factorial_expression.value; - State = 82; + State = 84; ErrorHandler.Sync(this); switch ( Interpreter.AdaptivePredict(TokenStream,4,Context) ) { case 1: { - State = 79; + State = 81; _localctx._power_list = power_list(); _localctx.value = _localctx._power_list.value @@ -462,29 +462,29 @@ public Unary_expressionContext unary_expression() { Unary_expressionContext _localctx = new Unary_expressionContext(Context, State); EnterRule(_localctx, 6, RULE_unary_expression); try { - State = 107; + State = 109; ErrorHandler.Sync(this); switch ( Interpreter.AdaptivePredict(TokenStream,7,Context) ) { case 1: EnterOuterAlt(_localctx, 1); { - State = 92; + State = 94; ErrorHandler.Sync(this); switch (TokenStream.LA(1)) { case T__2: { - State = 84; + State = 86; Match(T__2); - State = 85; + State = 87; _localctx.p = power_expression(); _localctx.value = _localctx.p.value is Number num ? -num : -_localctx.p.value; } break; case T__3: { - State = 88; + State = 90; Match(T__3); - State = 89; + State = 91; _localctx.p = power_expression(); _localctx.value = _localctx.p.value; } @@ -497,23 +497,23 @@ public Unary_expressionContext unary_expression() { case 2: EnterOuterAlt(_localctx, 2); { - State = 102; + State = 104; ErrorHandler.Sync(this); switch (TokenStream.LA(1)) { case T__2: { - State = 94; + State = 96; Match(T__2); - State = 95; + State = 97; _localctx.u = unary_expression(); _localctx.value = -_localctx.u.value; } break; case T__3: { - State = 98; + State = 100; Match(T__3); - State = 99; + State = 101; _localctx.u = unary_expression(); _localctx.value = _localctx.u.value; } @@ -526,7 +526,7 @@ public Unary_expressionContext unary_expression() { case 3: EnterOuterAlt(_localctx, 3); { - State = 104; + State = 106; _localctx.p = power_expression(); _localctx.value = _localctx.p.value; } @@ -575,56 +575,206 @@ public override void ExitRule(IParseTreeListener listener) { public Mult_expressionContext mult_expression() { Mult_expressionContext _localctx = new Mult_expressionContext(Context, State); EnterRule(_localctx, 8, RULE_mult_expression); + Entity beforeDots = null; Entity afterDots = null; bool mixed = false; int _la; try { EnterOuterAlt(_localctx, 1); { - State = 109; + State = 111; _localctx.u1 = unary_expression(); _localctx.value = _localctx.u1.value; - State = 125; + State = 131; ErrorHandler.Sync(this); _la = TokenStream.LA(1); - while ((((_la) & ~0x3f) == 0 && ((1L << _la) & 224L) != 0)) { + while ((((_la) & ~0x3f) == 0 && ((1L << _la) & 800L) != 0)) { { - State = 123; + State = 129; ErrorHandler.Sync(this); switch (TokenStream.LA(1)) { case T__4: { - State = 111; + State = 113; Match(T__4); - State = 112; - _localctx.u2 = unary_expression(); - _localctx.value = _localctx.value * _localctx.u2.value; + State = 119; + ErrorHandler.Sync(this); + switch (TokenStream.LA(1)) { + case T__5: + case T__6: + { + State = 114; + _la = TokenStream.LA(1); + if ( !(_la==T__5 || _la==T__6) ) { + ErrorHandler.RecoverInline(this); + } + else { + ErrorHandler.ReportMatch(this); + Consume(); + } + if (beforeDots is not null) throw new InvalidArgumentParseException("A product written with dots has one ... in it"); beforeDots = _localctx.value; + } + break; + case T__2: + case T__3: + case T__29: + case T__49: + case T__50: + case T__51: + case T__53: + case T__54: + case T__57: + case T__59: + case T__60: + case T__61: + case T__62: + case T__63: + case T__64: + case T__65: + case T__66: + case T__67: + case T__68: + case T__69: + case T__70: + case T__71: + case T__72: + case T__73: + case T__74: + case T__75: + case T__76: + case T__77: + case T__78: + case T__79: + case T__80: + case T__81: + case T__82: + case T__83: + case T__84: + case T__85: + case T__86: + case T__87: + case T__88: + case T__89: + case T__90: + case T__91: + case T__92: + case T__93: + case T__94: + case T__95: + case T__96: + case T__97: + case T__98: + case T__99: + case T__100: + case T__101: + case T__102: + case T__103: + case T__104: + case T__105: + case T__106: + case T__107: + case T__108: + case T__109: + case T__110: + case T__111: + case T__112: + case T__113: + case T__114: + case T__115: + case T__116: + case T__117: + case T__118: + case T__119: + case T__120: + case T__121: + case T__122: + case T__123: + case T__124: + case T__125: + case T__126: + case T__127: + case T__128: + case T__129: + case T__130: + case T__131: + case T__132: + case T__133: + case T__134: + case T__135: + case T__136: + case T__137: + case T__138: + case T__139: + case T__140: + case T__141: + case T__142: + case T__143: + case T__144: + case T__145: + case T__146: + case T__147: + case T__148: + case T__149: + case T__150: + case T__151: + case T__152: + case T__153: + case T__154: + case T__155: + case T__156: + case T__157: + case T__158: + case T__159: + case T__160: + case T__161: + case T__162: + case T__163: + case T__164: + case T__165: + case T__166: + case T__167: + case T__168: + case NUMBER: + case SPECIALSET: + case BOOLEAN: + case NAN: + case VARIABLE: + { + State = 116; + _localctx.u2 = unary_expression(); + if (beforeDots is null) _localctx.value = _localctx.value * _localctx.u2.value; else if (afterDots is null) afterDots = _localctx.u2.value; else throw new InvalidArgumentParseException("A product written with dots ends with the one factor after them, as 1 * 2 * ... * n"); + } + break; + default: + throw new NoViableAltException(this); + } } break; - case T__5: + case T__7: { - State = 115; - Match(T__5); - State = 116; + State = 121; + Match(T__7); + State = 122; _localctx.u2 = unary_expression(); - _localctx.value = _localctx.value / _localctx.u2.value; + _localctx.value = _localctx.value / _localctx.u2.value; mixed = true; } break; - case T__6: + case T__8: { - State = 119; - Match(T__6); - State = 120; + State = 125; + Match(T__8); + State = 126; _localctx.u2 = unary_expression(); - _localctx.value = _localctx.value % _localctx.u2.value; + _localctx.value = _localctx.value % _localctx.u2.value; mixed = true; } break; default: throw new NoViableAltException(this); } } - State = 127; + State = 133; ErrorHandler.Sync(this); _la = TokenStream.LA(1); } + if (beforeDots is not null) _localctx.value = AngouriMath.Core.PatternOperator.SumOrProduct(mixed ? null : Mulf.LinearChildren(beforeDots), afterDots, product: true); } } catch (RecognitionException re) { @@ -669,47 +819,197 @@ public override void ExitRule(IParseTreeListener listener) { public Sum_expressionContext sum_expression() { Sum_expressionContext _localctx = new Sum_expressionContext(Context, State); EnterRule(_localctx, 10, RULE_sum_expression); + Entity beforeDots = null; Entity afterDots = null; int _la; try { EnterOuterAlt(_localctx, 1); { - State = 128; + State = 136; _localctx.m1 = mult_expression(); _localctx.value = _localctx.m1.value; - State = 140; + State = 152; ErrorHandler.Sync(this); _la = TokenStream.LA(1); while (_la==T__2 || _la==T__3) { { - State = 138; + State = 150; ErrorHandler.Sync(this); switch (TokenStream.LA(1)) { case T__3: { - State = 130; + State = 138; Match(T__3); - State = 131; - _localctx.m2 = mult_expression(); - _localctx.value = _localctx.value + _localctx.m2.value; + State = 144; + ErrorHandler.Sync(this); + switch (TokenStream.LA(1)) { + case T__5: + case T__6: + { + State = 139; + _la = TokenStream.LA(1); + if ( !(_la==T__5 || _la==T__6) ) { + ErrorHandler.RecoverInline(this); + } + else { + ErrorHandler.ReportMatch(this); + Consume(); + } + if (beforeDots is not null) throw new InvalidArgumentParseException("A sum written with dots has one ... in it"); beforeDots = _localctx.value; + } + break; + case T__2: + case T__3: + case T__29: + case T__49: + case T__50: + case T__51: + case T__53: + case T__54: + case T__57: + case T__59: + case T__60: + case T__61: + case T__62: + case T__63: + case T__64: + case T__65: + case T__66: + case T__67: + case T__68: + case T__69: + case T__70: + case T__71: + case T__72: + case T__73: + case T__74: + case T__75: + case T__76: + case T__77: + case T__78: + case T__79: + case T__80: + case T__81: + case T__82: + case T__83: + case T__84: + case T__85: + case T__86: + case T__87: + case T__88: + case T__89: + case T__90: + case T__91: + case T__92: + case T__93: + case T__94: + case T__95: + case T__96: + case T__97: + case T__98: + case T__99: + case T__100: + case T__101: + case T__102: + case T__103: + case T__104: + case T__105: + case T__106: + case T__107: + case T__108: + case T__109: + case T__110: + case T__111: + case T__112: + case T__113: + case T__114: + case T__115: + case T__116: + case T__117: + case T__118: + case T__119: + case T__120: + case T__121: + case T__122: + case T__123: + case T__124: + case T__125: + case T__126: + case T__127: + case T__128: + case T__129: + case T__130: + case T__131: + case T__132: + case T__133: + case T__134: + case T__135: + case T__136: + case T__137: + case T__138: + case T__139: + case T__140: + case T__141: + case T__142: + case T__143: + case T__144: + case T__145: + case T__146: + case T__147: + case T__148: + case T__149: + case T__150: + case T__151: + case T__152: + case T__153: + case T__154: + case T__155: + case T__156: + case T__157: + case T__158: + case T__159: + case T__160: + case T__161: + case T__162: + case T__163: + case T__164: + case T__165: + case T__166: + case T__167: + case T__168: + case NUMBER: + case SPECIALSET: + case BOOLEAN: + case NAN: + case VARIABLE: + { + State = 141; + _localctx.m2 = mult_expression(); + if (beforeDots is null) _localctx.value = _localctx.value + _localctx.m2.value; else if (afterDots is null) afterDots = _localctx.m2.value; else throw new InvalidArgumentParseException("A sum written with dots ends with the one term after them, as 1 + 2 + ... + n"); + } + break; + default: + throw new NoViableAltException(this); + } } break; case T__2: { - State = 134; + State = 146; Match(T__2); - State = 135; + State = 147; _localctx.m2 = mult_expression(); - _localctx.value = _localctx.value - _localctx.m2.value; + if (beforeDots is null) _localctx.value = _localctx.value - _localctx.m2.value; else throw new InvalidArgumentParseException("A sum written with dots ends with the one term after them, as 1 + 2 + ... + n"); } break; default: throw new NoViableAltException(this); } } - State = 142; + State = 154; ErrorHandler.Sync(this); _la = TokenStream.LA(1); } + if (beforeDots is not null) _localctx.value = AngouriMath.Core.PatternOperator.SumOrProduct(Sumf.LinearChildren(beforeDots), afterDots, product: false); } } catch (RecognitionException re) { @@ -758,31 +1058,31 @@ public Set_operator_intersectionContext set_operator_intersection() { try { EnterOuterAlt(_localctx, 1); { - State = 143; + State = 157; _localctx.left = sum_expression(); _localctx.value = _localctx.left.value; - State = 155; + State = 169; ErrorHandler.Sync(this); _la = TokenStream.LA(1); - while (_la==T__7 || _la==T__8) { + while (_la==T__9 || _la==T__10) { { - State = 153; + State = 167; ErrorHandler.Sync(this); switch (TokenStream.LA(1)) { - case T__7: + case T__9: { - State = 145; - Match(T__7); - State = 146; + State = 159; + Match(T__9); + State = 160; _localctx.right = sum_expression(); _localctx.value = _localctx.value.Intersect(_localctx.right.value); } break; - case T__8: + case T__10: { - State = 149; - Match(T__8); - State = 150; + State = 163; + Match(T__10); + State = 164; _localctx.right = sum_expression(); _localctx.value = _localctx.value.Intersect(_localctx.right.value); } @@ -791,7 +1091,7 @@ public Set_operator_intersectionContext set_operator_intersection() { throw new NoViableAltException(this); } } - State = 157; + State = 171; ErrorHandler.Sync(this); _la = TokenStream.LA(1); } @@ -843,49 +1143,49 @@ public Set_operator_union_setsubtractionContext set_operator_union_setsubtractio try { EnterOuterAlt(_localctx, 1); { - State = 158; + State = 172; _localctx.left = set_operator_intersection(); _localctx.value = _localctx.left.value; - State = 178; + State = 192; ErrorHandler.Sync(this); _la = TokenStream.LA(1); - while ((((_la) & ~0x3f) == 0 && ((1L << _la) & 15360L) != 0)) { + while ((((_la) & ~0x3f) == 0 && ((1L << _la) & 61440L) != 0)) { { - State = 176; + State = 190; ErrorHandler.Sync(this); switch (TokenStream.LA(1)) { - case T__9: + case T__11: { - State = 160; - Match(T__9); - State = 161; + State = 174; + Match(T__11); + State = 175; _localctx.right = set_operator_intersection(); _localctx.value = _localctx.value.Unite(_localctx.right.value); } break; - case T__10: + case T__12: { - State = 164; - Match(T__10); - State = 165; + State = 178; + Match(T__12); + State = 179; _localctx.right = set_operator_intersection(); _localctx.value = _localctx.value.Unite(_localctx.right.value); } break; - case T__11: + case T__13: { - State = 168; - Match(T__11); - State = 169; + State = 182; + Match(T__13); + State = 183; _localctx.right = set_operator_intersection(); _localctx.value = _localctx.value.SetSubtract(_localctx.right.value); } break; - case T__12: + case T__14: { - State = 172; - Match(T__12); - State = 173; + State = 186; + Match(T__14); + State = 187; _localctx.right = set_operator_intersection(); _localctx.value = _localctx.value.SetSubtract(_localctx.right.value); } @@ -894,7 +1194,7 @@ public Set_operator_union_setsubtractionContext set_operator_union_setsubtractio throw new NoViableAltException(this); } } - State = 180; + State = 194; ErrorHandler.Sync(this); _la = TokenStream.LA(1); } @@ -946,76 +1246,76 @@ public In_operatorContext in_operator() { try { EnterOuterAlt(_localctx, 1); { - State = 181; + State = 195; _localctx.m1 = set_operator_union_setsubtraction(); _localctx.value = _localctx.m1.value; - State = 213; + State = 227; ErrorHandler.Sync(this); _la = TokenStream.LA(1); - while ((((_la) & ~0x3f) == 0 && ((1L << _la) & 2080768L) != 0)) { + while ((((_la) & ~0x3f) == 0 && ((1L << _la) & 8323072L) != 0)) { { - State = 211; + State = 225; ErrorHandler.Sync(this); switch (TokenStream.LA(1)) { - case T__13: + case T__15: { - State = 183; - Match(T__13); - State = 184; + State = 197; + Match(T__15); + State = 198; _localctx.m2 = set_operator_union_setsubtraction(); _localctx.value = _localctx.value.In(_localctx.m2.value); } break; - case T__14: + case T__16: { - State = 187; - Match(T__14); - State = 188; + State = 201; + Match(T__16); + State = 202; _localctx.m2 = set_operator_union_setsubtraction(); _localctx.value = _localctx.value.SubsetOf(_localctx.m2.value); } break; - case T__15: + case T__17: { - State = 191; - Match(T__15); - State = 192; + State = 205; + Match(T__17); + State = 206; _localctx.m2 = set_operator_union_setsubtraction(); _localctx.value = _localctx.value.SubsetOf(_localctx.m2.value); } break; - case T__16: + case T__18: { - State = 195; - Match(T__16); - State = 196; + State = 209; + Match(T__18); + State = 210; _localctx.m2 = set_operator_union_setsubtraction(); _localctx.value = _localctx.m2.value.SubsetOf(_localctx.value); } break; - case T__17: + case T__19: { - State = 199; - Match(T__17); - State = 200; + State = 213; + Match(T__19); + State = 214; _localctx.m2 = set_operator_union_setsubtraction(); _localctx.value = _localctx.m2.value.SubsetOf(_localctx.value); } break; - case T__18: + case T__20: { - State = 203; - Match(T__18); - State = 204; + State = 217; + Match(T__20); + State = 218; _localctx.m2 = set_operator_union_setsubtraction(); _localctx.value = _localctx.value.Divides(_localctx.m2.value); } break; - case T__19: + case T__21: { - State = 207; - Match(T__19); - State = 208; + State = 221; + Match(T__21); + State = 222; _localctx.m2 = set_operator_union_setsubtraction(); _localctx.value = _localctx.value.Divides(_localctx.m2.value); } @@ -1024,7 +1324,7 @@ public In_operatorContext in_operator() { throw new NoViableAltException(this); } } - State = 215; + State = 229; ErrorHandler.Sync(this); _la = TokenStream.LA(1); } @@ -1078,92 +1378,92 @@ public Comparison_expressionContext comparison_expression() { try { EnterOuterAlt(_localctx, 1); { - State = 216; + State = 230; _localctx.m1 = in_operator(); terms.Add(_localctx.m1.value); - State = 239; + State = 253; ErrorHandler.Sync(this); _la = TokenStream.LA(1); - while ((((_la) & ~0x3f) == 0 && ((1L << _la) & 266338304L) != 0)) { + while ((((_la) & ~0x3f) == 0 && ((1L << _la) & 1065353216L) != 0)) { { { - State = 232; + State = 246; ErrorHandler.Sync(this); switch (TokenStream.LA(1)) { - case T__20: + case T__22: { - State = 218; - Match(T__20); + State = 232; + Match(T__22); operators.Add(">="); } break; - case T__21: + case T__23: { - State = 220; - Match(T__21); + State = 234; + Match(T__23); operators.Add("<="); } break; - case T__22: + case T__24: { - State = 222; - Match(T__22); + State = 236; + Match(T__24); operators.Add(">"); } break; - case T__23: + case T__25: { - State = 224; - Match(T__23); + State = 238; + Match(T__25); operators.Add("<"); } break; - case T__24: + case T__26: { - State = 226; - Match(T__24); + State = 240; + Match(T__26); operators.Add("="); } break; - case T__25: + case T__27: { - State = 228; - Match(T__25); + State = 242; + Match(T__27); operators.Add("<>"); } break; - case T__26: + case T__28: { - State = 230; - Match(T__26); + State = 244; + Match(T__28); operators.Add("≡"); } break; default: throw new NoViableAltException(this); } - State = 234; + State = 248; _localctx.m2 = in_operator(); terms.Add(_localctx.m2.value); } } - State = 241; + State = 255; ErrorHandler.Sync(this); _la = TokenStream.LA(1); } - State = 248; + State = 262; ErrorHandler.Sync(this); _la = TokenStream.LA(1); - if (_la==T__27) { + if (_la==T__29) { { - State = 242; - Match(T__27); - State = 243; - Match(T__6); - State = 244; + State = 256; + Match(T__29); + State = 257; + Match(T__8); + State = 258; _localctx.mod = in_operator(); - State = 245; - Match(T__28); + State = 259; + Match(T__30); modulus = _localctx.mod.value; } } @@ -1252,15 +1552,15 @@ public Negate_expressionContext negate_expression() { Negate_expressionContext _localctx = new Negate_expressionContext(Context, State); EnterRule(_localctx, 20, RULE_negate_expression); try { - State = 267; + State = 281; ErrorHandler.Sync(this); - switch ( Interpreter.AdaptivePredict(TokenStream,21,Context) ) { + switch ( Interpreter.AdaptivePredict(TokenStream,23,Context) ) { case 1: EnterOuterAlt(_localctx, 1); { - State = 252; - Match(T__29); - State = 253; + State = 266; + Match(T__31); + State = 267; _localctx.op = comparison_expression(); _localctx.value = !_localctx.op.value; } @@ -1268,9 +1568,9 @@ public Negate_expressionContext negate_expression() { case 2: EnterOuterAlt(_localctx, 2); { - State = 256; - Match(T__29); - State = 257; + State = 270; + Match(T__31); + State = 271; _localctx.opn = negate_expression(); _localctx.value = !_localctx.opn.value; } @@ -1278,9 +1578,9 @@ public Negate_expressionContext negate_expression() { case 3: EnterOuterAlt(_localctx, 3); { - State = 260; - Match(T__29); - State = 261; + State = 274; + Match(T__31); + State = 275; _localctx.q = quantified_expression(); _localctx.value = !_localctx.q.value; } @@ -1288,7 +1588,7 @@ public Negate_expressionContext negate_expression() { case 4: EnterOuterAlt(_localctx, 4); { - State = 264; + State = 278; _localctx.op = comparison_expression(); _localctx.value = _localctx.op.value; } @@ -1341,32 +1641,32 @@ public And_expressionContext and_expression() { int _alt; EnterOuterAlt(_localctx, 1); { - State = 269; + State = 283; _localctx.m1 = negate_expression(); _localctx.value = _localctx.m1.value; - State = 281; + State = 295; ErrorHandler.Sync(this); - _alt = Interpreter.AdaptivePredict(TokenStream,23,Context); + _alt = Interpreter.AdaptivePredict(TokenStream,25,Context); while ( _alt!=2 && _alt!=global::Antlr4.Runtime.Atn.ATN.INVALID_ALT_NUMBER ) { if ( _alt==1 ) { { - State = 279; + State = 293; ErrorHandler.Sync(this); switch (TokenStream.LA(1)) { - case T__30: + case T__32: { - State = 271; - Match(T__30); - State = 272; + State = 285; + Match(T__32); + State = 286; _localctx.m2 = negate_expression(); _localctx.value = _localctx.value & _localctx.m2.value; } break; - case T__31: + case T__33: { - State = 275; - Match(T__31); - State = 276; + State = 289; + Match(T__33); + State = 290; _localctx.m2 = negate_expression(); _localctx.value = _localctx.value & _localctx.m2.value; } @@ -1376,9 +1676,9 @@ public And_expressionContext and_expression() { } } } - State = 283; + State = 297; ErrorHandler.Sync(this); - _alt = Interpreter.AdaptivePredict(TokenStream,23,Context); + _alt = Interpreter.AdaptivePredict(TokenStream,25,Context); } } } @@ -1428,27 +1728,27 @@ public Xor_expressionContext xor_expression() { int _alt; EnterOuterAlt(_localctx, 1); { - State = 284; + State = 298; _localctx.m1 = and_expression(); _localctx.value = _localctx.m1.value; - State = 292; + State = 306; ErrorHandler.Sync(this); - _alt = Interpreter.AdaptivePredict(TokenStream,24,Context); + _alt = Interpreter.AdaptivePredict(TokenStream,26,Context); while ( _alt!=2 && _alt!=global::Antlr4.Runtime.Atn.ATN.INVALID_ALT_NUMBER ) { if ( _alt==1 ) { { { - State = 286; - Match(T__32); - State = 287; + State = 300; + Match(T__34); + State = 301; _localctx.m2 = and_expression(); _localctx.value = _localctx.value ^ _localctx.m2.value; } } } - State = 294; + State = 308; ErrorHandler.Sync(this); - _alt = Interpreter.AdaptivePredict(TokenStream,24,Context); + _alt = Interpreter.AdaptivePredict(TokenStream,26,Context); } } } @@ -1498,27 +1798,27 @@ public Or_expressionContext or_expression() { int _alt; EnterOuterAlt(_localctx, 1); { - State = 295; + State = 309; _localctx.m1 = xor_expression(); _localctx.value = _localctx.m1.value; - State = 303; + State = 317; ErrorHandler.Sync(this); - _alt = Interpreter.AdaptivePredict(TokenStream,25,Context); + _alt = Interpreter.AdaptivePredict(TokenStream,27,Context); while ( _alt!=2 && _alt!=global::Antlr4.Runtime.Atn.ATN.INVALID_ALT_NUMBER ) { if ( _alt==1 ) { { { - State = 297; - Match(T__33); - State = 298; + State = 311; + Match(T__35); + State = 312; _localctx.m2 = xor_expression(); _localctx.value = _localctx.value | _localctx.m2.value; } } } - State = 305; + State = 319; ErrorHandler.Sync(this); - _alt = Interpreter.AdaptivePredict(TokenStream,25,Context); + _alt = Interpreter.AdaptivePredict(TokenStream,27,Context); } } } @@ -1568,32 +1868,32 @@ public Implies_expressionContext implies_expression() { int _alt; EnterOuterAlt(_localctx, 1); { - State = 306; + State = 320; _localctx.m1 = or_expression(); _localctx.value = _localctx.m1.value; - State = 318; + State = 332; ErrorHandler.Sync(this); - _alt = Interpreter.AdaptivePredict(TokenStream,27,Context); + _alt = Interpreter.AdaptivePredict(TokenStream,29,Context); while ( _alt!=2 && _alt!=global::Antlr4.Runtime.Atn.ATN.INVALID_ALT_NUMBER ) { if ( _alt==1 ) { { - State = 316; + State = 330; ErrorHandler.Sync(this); switch (TokenStream.LA(1)) { - case T__34: + case T__36: { - State = 308; - Match(T__34); - State = 309; + State = 322; + Match(T__36); + State = 323; _localctx.m2 = or_expression(); _localctx.value = _localctx.value.Implies(_localctx.m2.value); } break; - case T__35: + case T__37: { - State = 312; - Match(T__35); - State = 313; + State = 326; + Match(T__37); + State = 327; _localctx.m2 = or_expression(); _localctx.value = _localctx.value.Implies(_localctx.m2.value); } @@ -1603,9 +1903,9 @@ public Implies_expressionContext implies_expression() { } } } - State = 320; + State = 334; ErrorHandler.Sync(this); - _alt = Interpreter.AdaptivePredict(TokenStream,27,Context); + _alt = Interpreter.AdaptivePredict(TokenStream,29,Context); } } } @@ -1654,17 +1954,17 @@ public Provided_expressionContext provided_expression() { try { EnterOuterAlt(_localctx, 1); { - State = 321; + State = 335; _localctx.expr = implies_expression(); _localctx.value = _localctx.expr.value; - State = 327; + State = 341; ErrorHandler.Sync(this); - switch ( Interpreter.AdaptivePredict(TokenStream,28,Context) ) { + switch ( Interpreter.AdaptivePredict(TokenStream,30,Context) ) { case 1: { - State = 323; - Match(T__36); - State = 324; + State = 337; + Match(T__38); + State = 338; _localctx.pred = provided_expression(); _localctx.value = _localctx.value.Provided(_localctx.pred.value); } @@ -1719,21 +2019,19 @@ public ExpressionContext expression() { ExpressionContext _localctx = new ExpressionContext(Context, State); EnterRule(_localctx, 32, RULE_expression); try { - State = 340; + State = 354; ErrorHandler.Sync(this); switch (TokenStream.LA(1)) { case T__2: case T__3: - case T__27: case T__29: - case T__47: - case T__48: + case T__31: case T__49: + case T__50: case T__51: - case T__52: - case T__55: + case T__53: + case T__54: case T__57: - case T__58: case T__59: case T__60: case T__61: @@ -1842,6 +2140,8 @@ public ExpressionContext expression() { case T__164: case T__165: case T__166: + case T__167: + case T__168: case NUMBER: case SPECIALSET: case BOOLEAN: @@ -1849,17 +2149,17 @@ public ExpressionContext expression() { case VARIABLE: EnterOuterAlt(_localctx, 1); { - State = 329; + State = 343; _localctx.s = provided_expression(); _localctx.value = _localctx.s.value; - State = 335; + State = 349; ErrorHandler.Sync(this); - switch ( Interpreter.AdaptivePredict(TokenStream,29,Context) ) { + switch ( Interpreter.AdaptivePredict(TokenStream,31,Context) ) { case 1: { - State = 331; - Match(T__37); - State = 332; + State = 345; + Match(T__39); + State = 346; _localctx.b = expression(); /* The parameters are read back out of an ordinary expression rather than matched as @@ -1894,15 +2194,15 @@ therefore never arrive as a Variable token at all. } } break; - case T__39: - case T__40: case T__41: case T__42: case T__43: case T__44: + case T__45: + case T__46: EnterOuterAlt(_localctx, 2); { - State = 337; + State = 351; _localctx.q = quantified_expression(); _localctx.value = _localctx.q.value; } @@ -1960,13 +2260,13 @@ public Quantified_expressionContext quantified_expression() { try { EnterOuterAlt(_localctx, 1); { - State = 342; + State = 356; _localctx.q = quantifier_keyword(); - State = 343; + State = 357; _localctx.names = quantified_names(); - State = 344; - Match(T__38); - State = 345; + State = 358; + Match(T__40); + State = 359; _localctx.b = expression(); Entity quantified = _localctx.b.value; @@ -2018,16 +2318,16 @@ public Quantifier_keywordContext quantifier_keyword() { EnterRule(_localctx, 36, RULE_quantifier_keyword); int _la; try { - State = 354; + State = 368; ErrorHandler.Sync(this); switch (TokenStream.LA(1)) { - case T__39: - case T__40: + case T__41: + case T__42: EnterOuterAlt(_localctx, 1); { - State = 348; + State = 362; _la = TokenStream.LA(1); - if ( !(_la==T__39 || _la==T__40) ) { + if ( !(_la==T__41 || _la==T__42) ) { ErrorHandler.RecoverInline(this); } else { @@ -2037,13 +2337,13 @@ public Quantifier_keywordContext quantifier_keyword() { _localctx.kind = "forall"; } break; - case T__41: - case T__42: + case T__43: + case T__44: EnterOuterAlt(_localctx, 2); { - State = 350; + State = 364; _la = TokenStream.LA(1); - if ( !(_la==T__41 || _la==T__42) ) { + if ( !(_la==T__43 || _la==T__44) ) { ErrorHandler.RecoverInline(this); } else { @@ -2053,13 +2353,13 @@ public Quantifier_keywordContext quantifier_keyword() { _localctx.kind = "exists!"; } break; - case T__43: - case T__44: + case T__45: + case T__46: EnterOuterAlt(_localctx, 3); { - State = 352; + State = 366; _la = TokenStream.LA(1); - if ( !(_la==T__43 || _la==T__44) ) { + if ( !(_la==T__45 || _la==T__46) ) { ErrorHandler.RecoverInline(this); } else { @@ -2119,23 +2419,23 @@ public Quantified_namesContext quantified_names() { try { EnterOuterAlt(_localctx, 1); { - State = 356; + State = 370; _localctx.e = in_operator(); items.Add(_localctx.e.value); - State = 364; + State = 378; ErrorHandler.Sync(this); _la = TokenStream.LA(1); - while (_la==T__45) { + while (_la==T__47) { { { - State = 358; - Match(T__45); - State = 359; + State = 372; + Match(T__47); + State = 373; _localctx.e = in_operator(); items.Add(_localctx.e.value); } } - State = 366; + State = 380; ErrorHandler.Sync(this); _la = TokenStream.LA(1); } @@ -2204,28 +2504,28 @@ public Function_argumentsContext function_arguments() { try { EnterOuterAlt(_localctx, 1); { - State = 380; + State = 394; ErrorHandler.Sync(this); _la = TokenStream.LA(1); - if ((((_la) & ~0x3f) == 0 && ((1L << _la) & -200622387819970536L) != 0) || ((((_la - 64)) & ~0x3f) == 0 && ((1L << (_la - 64)) & -1L) != 0) || ((((_la - 128)) & ~0x3f) == 0 && ((1L << (_la - 128)) & 69269232549887L) != 0)) { + if ((((_la) & ~0x3f) == 0 && ((1L << _la) & -802489551279882216L) != 0) || ((((_la - 64)) & ~0x3f) == 0 && ((1L << (_la - 64)) & -1L) != 0) || ((((_la - 128)) & ~0x3f) == 0 && ((1L << (_la - 128)) & 277076930199551L) != 0)) { { - State = 369; + State = 383; _localctx.e = expression(); _localctx.list.Add(_localctx.e.value); - State = 377; + State = 391; ErrorHandler.Sync(this); _la = TokenStream.LA(1); - while (_la==T__45) { + while (_la==T__47) { { { - State = 371; - Match(T__45); - State = 372; + State = 385; + Match(T__47); + State = 386; _localctx.e = expression(); _localctx.list.Add(_localctx.e.value); } } - State = 379; + State = 393; ErrorHandler.Sync(this); _la = TokenStream.LA(1); } @@ -2245,48 +2545,379 @@ public Function_argumentsContext function_arguments() { return _localctx; } - internal partial class Interval_argumentsContext : ParserRuleContext { - public (Entity from, Entity to) couple; - public ExpressionContext from; - public ExpressionContext to; + internal partial class Set_itemsContext : ParserRuleContext { + public List list; + public ExpressionContext e; [System.Diagnostics.DebuggerNonUserCode] public ExpressionContext[] expression() { return GetRuleContexts(); } [System.Diagnostics.DebuggerNonUserCode] public ExpressionContext expression(int i) { return GetRuleContext(i); } - public Interval_argumentsContext(ParserRuleContext parent, int invokingState) + public Set_itemsContext(ParserRuleContext parent, int invokingState) : base(parent, invokingState) { } - public override int RuleIndex { get { return RULE_interval_arguments; } } + public override int RuleIndex { get { return RULE_set_items; } } [System.Diagnostics.DebuggerNonUserCode] public override void EnterRule(IParseTreeListener listener) { IAngouriMathListener typedListener = listener as IAngouriMathListener; - if (typedListener != null) typedListener.EnterInterval_arguments(this); + if (typedListener != null) typedListener.EnterSet_items(this); } [System.Diagnostics.DebuggerNonUserCode] public override void ExitRule(IParseTreeListener listener) { IAngouriMathListener typedListener = listener as IAngouriMathListener; - if (typedListener != null) typedListener.ExitInterval_arguments(this); + if (typedListener != null) typedListener.ExitSet_items(this); } } [RuleVersion(0)] - public Interval_argumentsContext interval_arguments() { - Interval_argumentsContext _localctx = new Interval_argumentsContext(Context, State); - EnterRule(_localctx, 42, RULE_interval_arguments); + public Set_itemsContext set_items() { + Set_itemsContext _localctx = new Set_itemsContext(Context, State); + EnterRule(_localctx, 42, RULE_set_items); + _localctx.list = new List(); + int _la; try { EnterOuterAlt(_localctx, 1); { - State = 382; - _localctx.from = expression(); - _localctx.couple.from = _localctx.from.value; - State = 384; - Match(T__46); - State = 385; - _localctx.to = expression(); - _localctx.couple.to = _localctx.to.value; + State = 416; + ErrorHandler.Sync(this); + _la = TokenStream.LA(1); + if ((((_la) & ~0x3f) == 0 && ((1L << _la) & -802489551279882024L) != 0) || ((((_la - 64)) & ~0x3f) == 0 && ((1L << (_la - 64)) & -1L) != 0) || ((((_la - 128)) & ~0x3f) == 0 && ((1L << (_la - 128)) & 277076930199551L) != 0)) { + { + State = 401; + ErrorHandler.Sync(this); + switch (TokenStream.LA(1)) { + case T__2: + case T__3: + case T__29: + case T__31: + case T__41: + case T__42: + case T__43: + case T__44: + case T__45: + case T__46: + case T__49: + case T__50: + case T__51: + case T__53: + case T__54: + case T__57: + case T__59: + case T__60: + case T__61: + case T__62: + case T__63: + case T__64: + case T__65: + case T__66: + case T__67: + case T__68: + case T__69: + case T__70: + case T__71: + case T__72: + case T__73: + case T__74: + case T__75: + case T__76: + case T__77: + case T__78: + case T__79: + case T__80: + case T__81: + case T__82: + case T__83: + case T__84: + case T__85: + case T__86: + case T__87: + case T__88: + case T__89: + case T__90: + case T__91: + case T__92: + case T__93: + case T__94: + case T__95: + case T__96: + case T__97: + case T__98: + case T__99: + case T__100: + case T__101: + case T__102: + case T__103: + case T__104: + case T__105: + case T__106: + case T__107: + case T__108: + case T__109: + case T__110: + case T__111: + case T__112: + case T__113: + case T__114: + case T__115: + case T__116: + case T__117: + case T__118: + case T__119: + case T__120: + case T__121: + case T__122: + case T__123: + case T__124: + case T__125: + case T__126: + case T__127: + case T__128: + case T__129: + case T__130: + case T__131: + case T__132: + case T__133: + case T__134: + case T__135: + case T__136: + case T__137: + case T__138: + case T__139: + case T__140: + case T__141: + case T__142: + case T__143: + case T__144: + case T__145: + case T__146: + case T__147: + case T__148: + case T__149: + case T__150: + case T__151: + case T__152: + case T__153: + case T__154: + case T__155: + case T__156: + case T__157: + case T__158: + case T__159: + case T__160: + case T__161: + case T__162: + case T__163: + case T__164: + case T__165: + case T__166: + case T__167: + case T__168: + case NUMBER: + case SPECIALSET: + case BOOLEAN: + case NAN: + case VARIABLE: + { + State = 396; + _localctx.e = expression(); + _localctx.list.Add(_localctx.e.value); + } + break; + case T__5: + case T__6: + { + State = 399; + _la = TokenStream.LA(1); + if ( !(_la==T__5 || _la==T__6) ) { + ErrorHandler.RecoverInline(this); + } + else { + ErrorHandler.ReportMatch(this); + Consume(); + } + _localctx.list.Add(null); + } + break; + default: + throw new NoViableAltException(this); + } + State = 413; + ErrorHandler.Sync(this); + _la = TokenStream.LA(1); + while (_la==T__47) { + { + { + State = 403; + Match(T__47); + State = 409; + ErrorHandler.Sync(this); + switch (TokenStream.LA(1)) { + case T__2: + case T__3: + case T__29: + case T__31: + case T__41: + case T__42: + case T__43: + case T__44: + case T__45: + case T__46: + case T__49: + case T__50: + case T__51: + case T__53: + case T__54: + case T__57: + case T__59: + case T__60: + case T__61: + case T__62: + case T__63: + case T__64: + case T__65: + case T__66: + case T__67: + case T__68: + case T__69: + case T__70: + case T__71: + case T__72: + case T__73: + case T__74: + case T__75: + case T__76: + case T__77: + case T__78: + case T__79: + case T__80: + case T__81: + case T__82: + case T__83: + case T__84: + case T__85: + case T__86: + case T__87: + case T__88: + case T__89: + case T__90: + case T__91: + case T__92: + case T__93: + case T__94: + case T__95: + case T__96: + case T__97: + case T__98: + case T__99: + case T__100: + case T__101: + case T__102: + case T__103: + case T__104: + case T__105: + case T__106: + case T__107: + case T__108: + case T__109: + case T__110: + case T__111: + case T__112: + case T__113: + case T__114: + case T__115: + case T__116: + case T__117: + case T__118: + case T__119: + case T__120: + case T__121: + case T__122: + case T__123: + case T__124: + case T__125: + case T__126: + case T__127: + case T__128: + case T__129: + case T__130: + case T__131: + case T__132: + case T__133: + case T__134: + case T__135: + case T__136: + case T__137: + case T__138: + case T__139: + case T__140: + case T__141: + case T__142: + case T__143: + case T__144: + case T__145: + case T__146: + case T__147: + case T__148: + case T__149: + case T__150: + case T__151: + case T__152: + case T__153: + case T__154: + case T__155: + case T__156: + case T__157: + case T__158: + case T__159: + case T__160: + case T__161: + case T__162: + case T__163: + case T__164: + case T__165: + case T__166: + case T__167: + case T__168: + case NUMBER: + case SPECIALSET: + case BOOLEAN: + case NAN: + case VARIABLE: + { + State = 404; + _localctx.e = expression(); + _localctx.list.Add(_localctx.e.value); + } + break; + case T__5: + case T__6: + { + State = 407; + _la = TokenStream.LA(1); + if ( !(_la==T__5 || _la==T__6) ) { + ErrorHandler.RecoverInline(this); + } + else { + ErrorHandler.ReportMatch(this); + Consume(); + } + _localctx.list.Add(null); + } + break; + default: + throw new NoViableAltException(this); + } + } + } + State = 415; + ErrorHandler.Sync(this); + _la = TokenStream.LA(1); + } + } + } + } } catch (RecognitionException re) { @@ -2300,21 +2931,76 @@ public Interval_argumentsContext interval_arguments() { return _localctx; } - internal partial class Cset_argumentsContext : ParserRuleContext { - public (Entity variable, Entity predicate) couple; - public ExpressionContext variable; - public ExpressionContext predicate; + internal partial class Interval_argumentsContext : ParserRuleContext { + public (Entity from, Entity to) couple; + public ExpressionContext from; + public ExpressionContext to; [System.Diagnostics.DebuggerNonUserCode] public ExpressionContext[] expression() { return GetRuleContexts(); } [System.Diagnostics.DebuggerNonUserCode] public ExpressionContext expression(int i) { return GetRuleContext(i); } - public Cset_argumentsContext(ParserRuleContext parent, int invokingState) + public Interval_argumentsContext(ParserRuleContext parent, int invokingState) : base(parent, invokingState) { } - public override int RuleIndex { get { return RULE_cset_arguments; } } + public override int RuleIndex { get { return RULE_interval_arguments; } } + [System.Diagnostics.DebuggerNonUserCode] + public override void EnterRule(IParseTreeListener listener) { + IAngouriMathListener typedListener = listener as IAngouriMathListener; + if (typedListener != null) typedListener.EnterInterval_arguments(this); + } + [System.Diagnostics.DebuggerNonUserCode] + public override void ExitRule(IParseTreeListener listener) { + IAngouriMathListener typedListener = listener as IAngouriMathListener; + if (typedListener != null) typedListener.ExitInterval_arguments(this); + } + } + + [RuleVersion(0)] + public Interval_argumentsContext interval_arguments() { + Interval_argumentsContext _localctx = new Interval_argumentsContext(Context, State); + EnterRule(_localctx, 44, RULE_interval_arguments); + try { + EnterOuterAlt(_localctx, 1); + { + State = 418; + _localctx.from = expression(); + _localctx.couple.from = _localctx.from.value; + State = 420; + Match(T__48); + State = 421; + _localctx.to = expression(); + _localctx.couple.to = _localctx.to.value; + } + } + catch (RecognitionException re) { + _localctx.exception = re; + ErrorHandler.ReportError(this, re); + ErrorHandler.Recover(this, re); + } + finally { + ExitRule(); + } + return _localctx; + } + + internal partial class Cset_argumentsContext : ParserRuleContext { + public (Entity variable, Entity predicate) couple; + public ExpressionContext variable; + public ExpressionContext predicate; + [System.Diagnostics.DebuggerNonUserCode] public ExpressionContext[] expression() { + return GetRuleContexts(); + } + [System.Diagnostics.DebuggerNonUserCode] public ExpressionContext expression(int i) { + return GetRuleContext(i); + } + public Cset_argumentsContext(ParserRuleContext parent, int invokingState) + : base(parent, invokingState) + { + } + public override int RuleIndex { get { return RULE_cset_arguments; } } [System.Diagnostics.DebuggerNonUserCode] public override void EnterRule(IParseTreeListener listener) { IAngouriMathListener typedListener = listener as IAngouriMathListener; @@ -2330,16 +3016,16 @@ public override void ExitRule(IParseTreeListener listener) { [RuleVersion(0)] public Cset_argumentsContext cset_arguments() { Cset_argumentsContext _localctx = new Cset_argumentsContext(Context, State); - EnterRule(_localctx, 44, RULE_cset_arguments); + EnterRule(_localctx, 46, RULE_cset_arguments); try { EnterOuterAlt(_localctx, 1); { - State = 388; + State = 424; _localctx.variable = expression(); _localctx.couple.variable = _localctx.variable.value; - State = 390; - Match(T__38); - State = 391; + State = 426; + Match(T__40); + State = 427; _localctx.predicate = expression(); _localctx.couple.predicate = _localctx.predicate.value; } @@ -2366,6 +3052,7 @@ internal partial class AtomContext : ParserRuleContext { public Function_argumentsContext _function_arguments; public Interval_argumentsContext _interval_arguments; public Cset_argumentsContext cset_args; + public Set_itemsContext items; public Function_argumentsContext args; [System.Diagnostics.DebuggerNonUserCode] public ITerminalNode NAN() { return GetToken(AngouriMathParser.NAN, 0); } [System.Diagnostics.DebuggerNonUserCode] public ITerminalNode NUMBER() { return GetToken(AngouriMathParser.NUMBER, 0); } @@ -2387,6 +3074,9 @@ [System.Diagnostics.DebuggerNonUserCode] public Interval_argumentsContext interv [System.Diagnostics.DebuggerNonUserCode] public Cset_argumentsContext cset_arguments() { return GetRuleContext(0); } + [System.Diagnostics.DebuggerNonUserCode] public Set_itemsContext set_items() { + return GetRuleContext(0); + } public AtomContext(ParserRuleContext parent, int invokingState) : base(parent, invokingState) { @@ -2407,31 +3097,31 @@ public override void ExitRule(IParseTreeListener listener) { [RuleVersion(0)] public AtomContext atom() { AtomContext _localctx = new AtomContext(Context, State); - EnterRule(_localctx, 46, RULE_atom); + EnterRule(_localctx, 48, RULE_atom); try { - State = 1012; + State = 1048; ErrorHandler.Sync(this); - switch ( Interpreter.AdaptivePredict(TokenStream,35,Context) ) { + switch ( Interpreter.AdaptivePredict(TokenStream,41,Context) ) { case 1: EnterOuterAlt(_localctx, 1); { - State = 394; - Match(T__47); + State = 430; + Match(T__49); _localctx.value = Entity.Number.Real.PositiveInfinity; } break; case 2: EnterOuterAlt(_localctx, 2); { - State = 396; - Match(T__48); + State = 432; + Match(T__50); _localctx.value = Entity.Number.Real.NegativeInfinity; } break; case 3: EnterOuterAlt(_localctx, 3); { - State = 398; + State = 434; Match(NAN); _localctx.value = Entity.Number.Real.NaN; } @@ -2439,7 +3129,7 @@ public AtomContext atom() { case 4: EnterOuterAlt(_localctx, 4); { - State = 400; + State = 436; _localctx._NUMBER = Match(NUMBER); _localctx.value = Entity.Number.Complex.Parse((_localctx._NUMBER!=null?_localctx._NUMBER.Text:null)); } @@ -2447,7 +3137,7 @@ public AtomContext atom() { case 5: EnterOuterAlt(_localctx, 5); { - State = 402; + State = 438; _localctx._BOOLEAN = Match(BOOLEAN); _localctx.value = Entity.Boolean.Parse((_localctx._BOOLEAN!=null?_localctx._BOOLEAN.Text:null)); } @@ -2455,7 +3145,7 @@ public AtomContext atom() { case 6: EnterOuterAlt(_localctx, 6); { - State = 404; + State = 440; _localctx._SPECIALSET = Match(SPECIALSET); _localctx.value = Entity.Set.SpecialSet.Create((_localctx._SPECIALSET!=null?_localctx._SPECIALSET.Text:null)); } @@ -2463,7 +3153,7 @@ public AtomContext atom() { case 7: EnterOuterAlt(_localctx, 7); { - State = 406; + State = 442; _localctx._VARIABLE = Match(VARIABLE); // There is no set of natural numbers here, because the name means {0, 1, 2, ...} to @@ -2480,21 +3170,21 @@ public AtomContext atom() { case 8: EnterOuterAlt(_localctx, 8); { - State = 408; - Match(T__49); - State = 409; + State = 444; + Match(T__51); + State = 445; _localctx._expression = expression(); - State = 410; - Match(T__50); + State = 446; + Match(T__52); _localctx.value = _localctx._expression.value.Abs(); } break; case 9: EnterOuterAlt(_localctx, 9); { - State = 413; - Match(T__51); - State = 414; + State = 449; + Match(T__53); + State = 450; _localctx.p = atom(); _localctx.value = MathS.Sets.Card(_localctx.p.value); } @@ -2502,1020 +3192,1020 @@ public AtomContext atom() { case 10: EnterOuterAlt(_localctx, 10); { - State = 417; - Match(T__52); - State = 418; + State = 453; + Match(T__54); + State = 454; _localctx._function_arguments = function_arguments(); - State = 419; - Match(T__53); + State = 455; + Match(T__55); _localctx.value = ParsingHelpers.TryBuildingMatrix(_localctx._function_arguments.list).T; } break; case 11: EnterOuterAlt(_localctx, 11); { - State = 422; - Match(T__52); - State = 423; - _localctx._function_arguments = function_arguments(); - State = 424; + State = 458; Match(T__54); + State = 459; + _localctx._function_arguments = function_arguments(); + State = 460; + Match(T__56); _localctx.value = ParsingHelpers.TryBuildingMatrix(_localctx._function_arguments.list); } break; case 12: EnterOuterAlt(_localctx, 12); { - State = 427; - Match(T__27); - State = 428; + State = 463; + Match(T__29); + State = 464; _localctx._interval_arguments = interval_arguments(); - State = 429; - Match(T__28); + State = 465; + Match(T__30); _localctx.value = new Entity.Set.Interval(_localctx._interval_arguments.couple.from, false, _localctx._interval_arguments.couple.to, false); } break; case 13: EnterOuterAlt(_localctx, 13); { - State = 432; - Match(T__52); - State = 433; + State = 468; + Match(T__54); + State = 469; _localctx._interval_arguments = interval_arguments(); - State = 434; - Match(T__28); + State = 470; + Match(T__30); _localctx.value = new Entity.Set.Interval(_localctx._interval_arguments.couple.from, true, _localctx._interval_arguments.couple.to, false); } break; case 14: EnterOuterAlt(_localctx, 14); { - State = 437; - Match(T__52); - State = 438; - _localctx._interval_arguments = interval_arguments(); - State = 439; + State = 473; Match(T__54); + State = 474; + _localctx._interval_arguments = interval_arguments(); + State = 475; + Match(T__56); _localctx.value = new Entity.Set.Interval(_localctx._interval_arguments.couple.from, true, _localctx._interval_arguments.couple.to, true); } break; case 15: EnterOuterAlt(_localctx, 15); { - State = 442; - Match(T__27); - State = 443; + State = 478; + Match(T__29); + State = 479; _localctx._interval_arguments = interval_arguments(); - State = 444; - Match(T__54); + State = 480; + Match(T__56); _localctx.value = new Entity.Set.Interval(_localctx._interval_arguments.couple.from, false, _localctx._interval_arguments.couple.to, true); } break; case 16: EnterOuterAlt(_localctx, 16); { - State = 447; - Match(T__27); - State = 448; + State = 483; + Match(T__29); + State = 484; _localctx._expression = expression(); - State = 449; - Match(T__28); + State = 485; + Match(T__30); _localctx.value = _localctx._expression.value; } break; case 17: EnterOuterAlt(_localctx, 17); { - State = 452; - Match(T__55); - State = 453; + State = 488; + Match(T__57); + State = 489; _localctx.cset_args = cset_arguments(); - State = 454; - Match(T__56); + State = 490; + Match(T__58); _localctx.value = new ConditionalSet(_localctx.cset_args.couple.variable, _localctx.cset_args.couple.predicate); } break; case 18: EnterOuterAlt(_localctx, 18); { - State = 457; - Match(T__55); - State = 458; - _localctx.args = function_arguments(); - State = 459; - Match(T__56); - _localctx.value = new FiniteSet((IEnumerable)_localctx.args.list); + State = 493; + Match(T__57); + State = 494; + _localctx.items = set_items(); + State = 495; + Match(T__58); + _localctx.value = _localctx.items.list.Contains(null) ? AngouriMath.Core.PatternOperator.Set(_localctx.items.list) : new FiniteSet(_localctx.items.list.Cast()); } break; case 19: EnterOuterAlt(_localctx, 19); { - State = 462; - Match(T__57); - State = 463; + State = 498; + Match(T__59); + State = 499; _localctx.args = function_arguments(); - State = 464; - Match(T__28); + State = 500; + Match(T__30); _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 20: EnterOuterAlt(_localctx, 20); { - State = 467; - Match(T__58); - State = 468; + State = 503; + Match(T__60); + State = 504; _localctx.args = function_arguments(); - State = 469; - Match(T__28); + State = 505; + Match(T__30); Assert("log10", 1, _localctx.args.list.Count); _localctx.value = MathS.Log(10, _localctx.args.list[0]); } break; case 21: EnterOuterAlt(_localctx, 21); { - State = 472; - Match(T__59); - State = 473; + State = 508; + Match(T__61); + State = 509; _localctx.args = function_arguments(); - State = 474; - Match(T__28); + State = 510; + Match(T__30); Assert("log2", 1, _localctx.args.list.Count); _localctx.value = MathS.Log(2, _localctx.args.list[0]); } break; case 22: EnterOuterAlt(_localctx, 22); { - State = 477; - Match(T__60); - State = 478; + State = 513; + Match(T__62); + State = 514; _localctx.args = function_arguments(); - State = 479; - Match(T__28); + State = 515; + Match(T__30); Assert("pow", 2, _localctx.args.list.Count); _localctx.value = MathS.Pow(_localctx.args.list[0], _localctx.args.list[1]); } break; case 23: EnterOuterAlt(_localctx, 23); { - State = 482; - Match(T__61); - State = 483; + State = 518; + Match(T__63); + State = 519; _localctx.args = function_arguments(); - State = 484; - Match(T__28); + State = 520; + Match(T__30); Assert("sqrt", 1, _localctx.args.list.Count); _localctx.value = MathS.Sqrt(_localctx.args.list[0]); } break; case 24: EnterOuterAlt(_localctx, 24); { - State = 487; - Match(T__62); - State = 488; + State = 523; + Match(T__64); + State = 524; _localctx.args = function_arguments(); - State = 489; - Match(T__28); + State = 525; + Match(T__30); Assert("cbrt", 1, _localctx.args.list.Count); _localctx.value = MathS.Cbrt(_localctx.args.list[0]); } break; case 25: EnterOuterAlt(_localctx, 25); { - State = 492; - Match(T__63); - State = 493; + State = 528; + Match(T__65); + State = 529; _localctx.args = function_arguments(); - State = 494; - Match(T__28); + State = 530; + Match(T__30); Assert("sqr", 1, _localctx.args.list.Count); _localctx.value = MathS.Sqr(_localctx.args.list[0]); } break; case 26: EnterOuterAlt(_localctx, 26); { - State = 497; - Match(T__64); - State = 498; + State = 533; + Match(T__66); + State = 534; _localctx.args = function_arguments(); - State = 499; - Match(T__28); + State = 535; + Match(T__30); Assert("ln", 1, _localctx.args.list.Count); _localctx.value = MathS.Ln(_localctx.args.list[0]); } break; case 27: EnterOuterAlt(_localctx, 27); { - State = 502; - Match(T__65); - State = 503; + State = 538; + Match(T__67); + State = 539; _localctx.args = function_arguments(); - State = 504; - Match(T__28); + State = 540; + Match(T__30); Assert("exp", 1, _localctx.args.list.Count); _localctx.value = MathS.Pow(Entity.Constant.EulerIntrinsic, _localctx.args.list[0]); } break; case 28: EnterOuterAlt(_localctx, 28); { - State = 507; - Match(T__66); - State = 508; + State = 543; + Match(T__68); + State = 544; _localctx.args = function_arguments(); - State = 509; - Match(T__28); + State = 545; + Match(T__30); Assert("sin", 1, _localctx.args.list.Count); _localctx.value = MathS.Sin(_localctx.args.list[0]); } break; case 29: EnterOuterAlt(_localctx, 29); { - State = 512; - Match(T__67); - State = 513; + State = 548; + Match(T__69); + State = 549; _localctx.args = function_arguments(); - State = 514; - Match(T__28); + State = 550; + Match(T__30); Assert("cos", 1, _localctx.args.list.Count); _localctx.value = MathS.Cos(_localctx.args.list[0]); } break; case 30: EnterOuterAlt(_localctx, 30); { - State = 517; - Match(T__68); - State = 518; + State = 553; + Match(T__70); + State = 554; _localctx.args = function_arguments(); - State = 519; - Match(T__28); + State = 555; + Match(T__30); Assert("tan", 1, _localctx.args.list.Count); _localctx.value = MathS.Tan(_localctx.args.list[0]); } break; case 31: EnterOuterAlt(_localctx, 31); { - State = 522; - Match(T__69); - State = 523; + State = 558; + Match(T__71); + State = 559; _localctx.args = function_arguments(); - State = 524; - Match(T__28); + State = 560; + Match(T__30); Assert("cotan", 1, _localctx.args.list.Count); _localctx.value = MathS.Cotan(_localctx.args.list[0]); } break; case 32: EnterOuterAlt(_localctx, 32); { - State = 527; - Match(T__70); - State = 528; + State = 563; + Match(T__72); + State = 564; _localctx.args = function_arguments(); - State = 529; - Match(T__28); + State = 565; + Match(T__30); Assert("cotan", 1, _localctx.args.list.Count); _localctx.value = MathS.Cotan(_localctx.args.list[0]); } break; case 33: EnterOuterAlt(_localctx, 33); { - State = 532; - Match(T__71); - State = 533; + State = 568; + Match(T__73); + State = 569; _localctx.args = function_arguments(); - State = 534; - Match(T__28); + State = 570; + Match(T__30); Assert("sec", 1, _localctx.args.list.Count); _localctx.value = MathS.Sec(_localctx.args.list[0]); } break; case 34: EnterOuterAlt(_localctx, 34); { - State = 537; - Match(T__72); - State = 538; + State = 573; + Match(T__74); + State = 574; _localctx.args = function_arguments(); - State = 539; - Match(T__28); + State = 575; + Match(T__30); Assert("cosec", 1, _localctx.args.list.Count); _localctx.value = MathS.Cosec(_localctx.args.list[0]); } break; case 35: EnterOuterAlt(_localctx, 35); { - State = 542; - Match(T__73); - State = 543; + State = 578; + Match(T__75); + State = 579; _localctx.args = function_arguments(); - State = 544; - Match(T__28); + State = 580; + Match(T__30); Assert("cosec", 1, _localctx.args.list.Count); _localctx.value = MathS.Cosec(_localctx.args.list[0]); } break; case 36: EnterOuterAlt(_localctx, 36); { - State = 547; - Match(T__74); - State = 548; + State = 583; + Match(T__76); + State = 584; _localctx.args = function_arguments(); - State = 549; - Match(T__28); + State = 585; + Match(T__30); Assert("arcsin", 1, _localctx.args.list.Count); _localctx.value = MathS.Arcsin(_localctx.args.list[0]); } break; case 37: EnterOuterAlt(_localctx, 37); { - State = 552; - Match(T__75); - State = 553; + State = 588; + Match(T__77); + State = 589; _localctx.args = function_arguments(); - State = 554; - Match(T__28); + State = 590; + Match(T__30); Assert("arccos", 1, _localctx.args.list.Count); _localctx.value = MathS.Arccos(_localctx.args.list[0]); } break; case 38: EnterOuterAlt(_localctx, 38); { - State = 557; - Match(T__76); - State = 558; + State = 593; + Match(T__78); + State = 594; _localctx.args = function_arguments(); - State = 559; - Match(T__28); + State = 595; + Match(T__30); Assert("arctan", 1, _localctx.args.list.Count); _localctx.value = MathS.Arctan(_localctx.args.list[0]); } break; case 39: EnterOuterAlt(_localctx, 39); { - State = 562; - Match(T__77); - State = 563; + State = 598; + Match(T__79); + State = 599; _localctx.args = function_arguments(); - State = 564; - Match(T__28); + State = 600; + Match(T__30); Assert("arccotan", 1, _localctx.args.list.Count); _localctx.value = MathS.Arccotan(_localctx.args.list[0]); } break; case 40: EnterOuterAlt(_localctx, 40); { - State = 567; - Match(T__78); - State = 568; + State = 603; + Match(T__80); + State = 604; _localctx.args = function_arguments(); - State = 569; - Match(T__28); + State = 605; + Match(T__30); Assert("arcsec", 1, _localctx.args.list.Count); _localctx.value = MathS.Arcsec(_localctx.args.list[0]); } break; case 41: EnterOuterAlt(_localctx, 41); { - State = 572; - Match(T__79); - State = 573; + State = 608; + Match(T__81); + State = 609; _localctx.args = function_arguments(); - State = 574; - Match(T__28); + State = 610; + Match(T__30); Assert("arccosec", 1, _localctx.args.list.Count); _localctx.value = MathS.Arccosec(_localctx.args.list[0]); } break; case 42: EnterOuterAlt(_localctx, 42); { - State = 577; - Match(T__80); - State = 578; + State = 613; + Match(T__82); + State = 614; _localctx.args = function_arguments(); - State = 579; - Match(T__28); + State = 615; + Match(T__30); Assert("arccosec", 1, _localctx.args.list.Count); _localctx.value = MathS.Arccosec(_localctx.args.list[0]); } break; case 43: EnterOuterAlt(_localctx, 43); { - State = 582; - Match(T__81); - State = 583; + State = 618; + Match(T__83); + State = 619; _localctx.args = function_arguments(); - State = 584; - Match(T__28); + State = 620; + Match(T__30); Assert("arccosec", 1, _localctx.args.list.Count); _localctx.value = MathS.Arccosec(_localctx.args.list[0]); } break; case 44: EnterOuterAlt(_localctx, 44); { - State = 587; - Match(T__82); - State = 588; + State = 623; + Match(T__84); + State = 624; _localctx.args = function_arguments(); - State = 589; - Match(T__28); + State = 625; + Match(T__30); Assert("arcsin", 1, _localctx.args.list.Count); _localctx.value = MathS.Arcsin(_localctx.args.list[0]); } break; case 45: EnterOuterAlt(_localctx, 45); { - State = 592; - Match(T__83); - State = 593; + State = 628; + Match(T__85); + State = 629; _localctx.args = function_arguments(); - State = 594; - Match(T__28); + State = 630; + Match(T__30); Assert("arccos", 1, _localctx.args.list.Count); _localctx.value = MathS.Arccos(_localctx.args.list[0]); } break; case 46: EnterOuterAlt(_localctx, 46); { - State = 597; - Match(T__84); - State = 598; + State = 633; + Match(T__86); + State = 634; _localctx.args = function_arguments(); - State = 599; - Match(T__28); + State = 635; + Match(T__30); Assert("arctan", 1, _localctx.args.list.Count); _localctx.value = MathS.Arctan(_localctx.args.list[0]); } break; case 47: EnterOuterAlt(_localctx, 47); { - State = 602; - Match(T__85); - State = 603; + State = 638; + Match(T__87); + State = 639; _localctx.args = function_arguments(); - State = 604; - Match(T__28); + State = 640; + Match(T__30); Assert("arccotan", 1, _localctx.args.list.Count); _localctx.value = MathS.Arccotan(_localctx.args.list[0]); } break; case 48: EnterOuterAlt(_localctx, 48); { - State = 607; - Match(T__86); - State = 608; + State = 643; + Match(T__88); + State = 644; _localctx.args = function_arguments(); - State = 609; - Match(T__28); + State = 645; + Match(T__30); Assert("arcsec", 1, _localctx.args.list.Count); _localctx.value = MathS.Arcsec(_localctx.args.list[0]); } break; case 49: EnterOuterAlt(_localctx, 49); { - State = 612; - Match(T__87); - State = 613; + State = 648; + Match(T__89); + State = 649; _localctx.args = function_arguments(); - State = 614; - Match(T__28); + State = 650; + Match(T__30); Assert("arccosec", 1, _localctx.args.list.Count); _localctx.value = MathS.Arccosec(_localctx.args.list[0]); } break; case 50: EnterOuterAlt(_localctx, 50); { - State = 617; - Match(T__88); - State = 618; + State = 653; + Match(T__90); + State = 654; _localctx.args = function_arguments(); - State = 619; - Match(T__28); + State = 655; + Match(T__30); Assert("arccotan", 1, _localctx.args.list.Count); _localctx.value = MathS.Arccotan(_localctx.args.list[0]); } break; case 51: EnterOuterAlt(_localctx, 51); { - State = 622; - Match(T__89); - State = 623; + State = 658; + Match(T__91); + State = 659; _localctx.args = function_arguments(); - State = 624; - Match(T__28); + State = 660; + Match(T__30); Assert("arccotan", 1, _localctx.args.list.Count); _localctx.value = MathS.Arccotan(_localctx.args.list[0]); } break; case 52: EnterOuterAlt(_localctx, 52); { - State = 627; - Match(T__90); - State = 628; + State = 663; + Match(T__92); + State = 664; _localctx.args = function_arguments(); - State = 629; - Match(T__28); + State = 665; + Match(T__30); Assert("sin", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Sinh(_localctx.args.list[0]); } break; case 53: EnterOuterAlt(_localctx, 53); { - State = 632; - Match(T__91); - State = 633; + State = 668; + Match(T__93); + State = 669; _localctx.args = function_arguments(); - State = 634; - Match(T__28); + State = 670; + Match(T__30); Assert("sin", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Sinh(_localctx.args.list[0]); } break; case 54: EnterOuterAlt(_localctx, 54); { - State = 637; - Match(T__92); - State = 638; + State = 673; + Match(T__94); + State = 674; _localctx.args = function_arguments(); - State = 639; - Match(T__28); + State = 675; + Match(T__30); Assert("cos", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Cosh(_localctx.args.list[0]); } break; case 55: EnterOuterAlt(_localctx, 55); { - State = 642; - Match(T__93); - State = 643; + State = 678; + Match(T__95); + State = 679; _localctx.args = function_arguments(); - State = 644; - Match(T__28); + State = 680; + Match(T__30); Assert("cos", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Cosh(_localctx.args.list[0]); } break; case 56: EnterOuterAlt(_localctx, 56); { - State = 647; - Match(T__94); - State = 648; + State = 683; + Match(T__96); + State = 684; _localctx.args = function_arguments(); - State = 649; - Match(T__28); + State = 685; + Match(T__30); Assert("tan", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Tanh(_localctx.args.list[0]); } break; case 57: EnterOuterAlt(_localctx, 57); { - State = 652; - Match(T__95); - State = 653; + State = 688; + Match(T__97); + State = 689; _localctx.args = function_arguments(); - State = 654; - Match(T__28); + State = 690; + Match(T__30); Assert("tan", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Tanh(_localctx.args.list[0]); } break; case 58: EnterOuterAlt(_localctx, 58); { - State = 657; - Match(T__96); - State = 658; + State = 693; + Match(T__98); + State = 694; _localctx.args = function_arguments(); - State = 659; - Match(T__28); + State = 695; + Match(T__30); Assert("cotan", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Cotanh(_localctx.args.list[0]); } break; case 59: EnterOuterAlt(_localctx, 59); { - State = 662; - Match(T__97); - State = 663; + State = 698; + Match(T__99); + State = 699; _localctx.args = function_arguments(); - State = 664; - Match(T__28); + State = 700; + Match(T__30); Assert("cotan", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Cotanh(_localctx.args.list[0]); } break; case 60: EnterOuterAlt(_localctx, 60); { - State = 667; - Match(T__98); - State = 668; + State = 703; + Match(T__100); + State = 704; _localctx.args = function_arguments(); - State = 669; - Match(T__28); + State = 705; + Match(T__30); Assert("cotan", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Cotanh(_localctx.args.list[0]); } break; case 61: EnterOuterAlt(_localctx, 61); { - State = 672; - Match(T__99); - State = 673; + State = 708; + Match(T__101); + State = 709; _localctx.args = function_arguments(); - State = 674; - Match(T__28); + State = 710; + Match(T__30); Assert("sec", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Sech(_localctx.args.list[0]); } break; case 62: EnterOuterAlt(_localctx, 62); { - State = 677; - Match(T__100); - State = 678; + State = 713; + Match(T__102); + State = 714; _localctx.args = function_arguments(); - State = 679; - Match(T__28); + State = 715; + Match(T__30); Assert("sec", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Sech(_localctx.args.list[0]); } break; case 63: EnterOuterAlt(_localctx, 63); { - State = 682; - Match(T__101); - State = 683; + State = 718; + Match(T__103); + State = 719; _localctx.args = function_arguments(); - State = 684; - Match(T__28); + State = 720; + Match(T__30); Assert("cosec", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Cosech(_localctx.args.list[0]); } break; case 64: EnterOuterAlt(_localctx, 64); { - State = 687; - Match(T__102); - State = 688; + State = 723; + Match(T__104); + State = 724; _localctx.args = function_arguments(); - State = 689; - Match(T__28); + State = 725; + Match(T__30); Assert("cosec", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Cosech(_localctx.args.list[0]); } break; case 65: EnterOuterAlt(_localctx, 65); { - State = 692; - Match(T__103); - State = 693; + State = 728; + Match(T__105); + State = 729; _localctx.args = function_arguments(); - State = 694; - Match(T__28); + State = 730; + Match(T__30); Assert("arcsin", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Arsinh(_localctx.args.list[0]); } break; case 66: EnterOuterAlt(_localctx, 66); { - State = 697; - Match(T__104); - State = 698; + State = 733; + Match(T__106); + State = 734; _localctx.args = function_arguments(); - State = 699; - Match(T__28); + State = 735; + Match(T__30); Assert("arcsin", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Arsinh(_localctx.args.list[0]); } break; case 67: EnterOuterAlt(_localctx, 67); { - State = 702; - Match(T__105); - State = 703; + State = 738; + Match(T__107); + State = 739; _localctx.args = function_arguments(); - State = 704; - Match(T__28); + State = 740; + Match(T__30); Assert("arcsin", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Arsinh(_localctx.args.list[0]); } break; case 68: EnterOuterAlt(_localctx, 68); { - State = 707; - Match(T__106); - State = 708; + State = 743; + Match(T__108); + State = 744; _localctx.args = function_arguments(); - State = 709; - Match(T__28); + State = 745; + Match(T__30); 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 69: EnterOuterAlt(_localctx, 69); { - State = 712; - Match(T__107); - State = 713; + State = 748; + Match(T__109); + State = 749; _localctx.args = function_arguments(); - State = 714; - Match(T__28); + State = 750; + Match(T__30); Assert("arccos", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Arcosh(_localctx.args.list[0]); } break; case 70: EnterOuterAlt(_localctx, 70); { - State = 717; - Match(T__108); - State = 718; + State = 753; + Match(T__110); + State = 754; _localctx.args = function_arguments(); - State = 719; - Match(T__28); + State = 755; + Match(T__30); Assert("arccos", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Arcosh(_localctx.args.list[0]); } break; case 71: EnterOuterAlt(_localctx, 71); { - State = 722; - Match(T__109); - State = 723; + State = 758; + Match(T__111); + State = 759; _localctx.args = function_arguments(); - State = 724; - Match(T__28); + State = 760; + Match(T__30); Assert("arccos", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Arcosh(_localctx.args.list[0]); } break; case 72: EnterOuterAlt(_localctx, 72); { - State = 727; - Match(T__110); - State = 728; + State = 763; + Match(T__112); + State = 764; _localctx.args = function_arguments(); - State = 729; - Match(T__28); + State = 765; + Match(T__30); 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 73: EnterOuterAlt(_localctx, 73); { - State = 732; - Match(T__111); - State = 733; + State = 768; + Match(T__113); + State = 769; _localctx.args = function_arguments(); - State = 734; - Match(T__28); + State = 770; + Match(T__30); Assert("arctan", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Artanh(_localctx.args.list[0]); } break; case 74: EnterOuterAlt(_localctx, 74); { - State = 737; - Match(T__112); - State = 738; + State = 773; + Match(T__114); + State = 774; _localctx.args = function_arguments(); - State = 739; - Match(T__28); + State = 775; + Match(T__30); Assert("arctan", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Artanh(_localctx.args.list[0]); } break; case 75: EnterOuterAlt(_localctx, 75); { - State = 742; - Match(T__113); - State = 743; + State = 778; + Match(T__115); + State = 779; _localctx.args = function_arguments(); - State = 744; - Match(T__28); + State = 780; + Match(T__30); Assert("arctan", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Artanh(_localctx.args.list[0]); } break; case 76: EnterOuterAlt(_localctx, 76); { - State = 747; - Match(T__114); - State = 748; + State = 783; + Match(T__116); + State = 784; _localctx.args = function_arguments(); - State = 749; - Match(T__28); + State = 785; + Match(T__30); 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 77: EnterOuterAlt(_localctx, 77); { - State = 752; - Match(T__115); - State = 753; + State = 788; + Match(T__117); + State = 789; _localctx.args = function_arguments(); - State = 754; - Match(T__28); + State = 790; + Match(T__30); Assert("arccotan", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Arcotanh(_localctx.args.list[0]); } break; case 78: EnterOuterAlt(_localctx, 78); { - State = 757; - Match(T__116); - State = 758; + State = 793; + Match(T__118); + State = 794; _localctx.args = function_arguments(); - State = 759; - Match(T__28); + State = 795; + Match(T__30); Assert("arccotan", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Arcotanh(_localctx.args.list[0]); } break; case 79: EnterOuterAlt(_localctx, 79); { - State = 762; - Match(T__117); - State = 763; + State = 798; + Match(T__119); + State = 799; _localctx.args = function_arguments(); - State = 764; - Match(T__28); + State = 800; + Match(T__30); Assert("arccotan", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Arcotanh(_localctx.args.list[0]); } break; case 80: EnterOuterAlt(_localctx, 80); { - State = 767; - Match(T__118); - State = 768; + State = 803; + Match(T__120); + State = 804; _localctx.args = function_arguments(); - State = 769; - Match(T__28); + State = 805; + Match(T__30); Assert("arccotan", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Arcotanh(_localctx.args.list[0]); } break; case 81: EnterOuterAlt(_localctx, 81); { - State = 772; - Match(T__119); - State = 773; + State = 808; + Match(T__121); + State = 809; _localctx.args = function_arguments(); - State = 774; - Match(T__28); + State = 810; + Match(T__30); Assert("arccotan", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Arcotanh(_localctx.args.list[0]); } break; case 82: EnterOuterAlt(_localctx, 82); { - State = 777; - Match(T__120); - State = 778; + State = 813; + Match(T__122); + State = 814; _localctx.args = function_arguments(); - State = 779; - Match(T__28); + State = 815; + Match(T__30); 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 83: EnterOuterAlt(_localctx, 83); { - State = 782; - Match(T__121); - State = 783; + State = 818; + Match(T__123); + State = 819; _localctx.args = function_arguments(); - State = 784; - Match(T__28); + State = 820; + Match(T__30); Assert("arcsec", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Arsech(_localctx.args.list[0]); } break; case 84: EnterOuterAlt(_localctx, 84); { - State = 787; - Match(T__122); - State = 788; + State = 823; + Match(T__124); + State = 824; _localctx.args = function_arguments(); - State = 789; - Match(T__28); + State = 825; + Match(T__30); Assert("arcsec", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Arsech(_localctx.args.list[0]); } break; case 85: EnterOuterAlt(_localctx, 85); { - State = 792; - Match(T__123); - State = 793; + State = 828; + Match(T__125); + State = 829; _localctx.args = function_arguments(); - State = 794; - Match(T__28); + State = 830; + Match(T__30); Assert("arcsec", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Arsech(_localctx.args.list[0]); } break; case 86: EnterOuterAlt(_localctx, 86); { - State = 797; - Match(T__124); - State = 798; + State = 833; + Match(T__126); + State = 834; _localctx.args = function_arguments(); - State = 799; - Match(T__28); + State = 835; + Match(T__30); 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 87: EnterOuterAlt(_localctx, 87); { - State = 802; - Match(T__125); - State = 803; + State = 838; + Match(T__127); + State = 839; _localctx.args = function_arguments(); - State = 804; - Match(T__28); + State = 840; + Match(T__30); Assert("arccosec", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Arcosech(_localctx.args.list[0]); } break; case 88: EnterOuterAlt(_localctx, 88); { - State = 807; - Match(T__126); - State = 808; + State = 843; + Match(T__128); + State = 844; _localctx.args = function_arguments(); - State = 809; - Match(T__28); + State = 845; + Match(T__30); Assert("arccosec", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Arcosech(_localctx.args.list[0]); } break; case 89: EnterOuterAlt(_localctx, 89); { - State = 812; - Match(T__127); - State = 813; + State = 848; + Match(T__129); + State = 849; _localctx.args = function_arguments(); - State = 814; - Match(T__28); + State = 850; + Match(T__30); Assert("arccosec", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Arcosech(_localctx.args.list[0]); } break; case 90: EnterOuterAlt(_localctx, 90); { - State = 817; - Match(T__128); - State = 818; + State = 853; + Match(T__130); + State = 854; _localctx.args = function_arguments(); - State = 819; - Match(T__28); + State = 855; + Match(T__30); 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 91: EnterOuterAlt(_localctx, 91); { - State = 822; - Match(T__129); - State = 823; + State = 858; + Match(T__131); + State = 859; _localctx.args = function_arguments(); - State = 824; - Match(T__28); + State = 860; + Match(T__30); Assert("arccosec", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Arcosech(_localctx.args.list[0]); } break; case 92: EnterOuterAlt(_localctx, 92); { - State = 827; - Match(T__130); - State = 828; + State = 863; + Match(T__132); + State = 864; _localctx.args = function_arguments(); - State = 829; - Match(T__28); + State = 865; + Match(T__30); Assert("factorial", 1, _localctx.args.list.Count); _localctx.value = MathS.Factorial(_localctx.args.list[0]); } break; case 93: EnterOuterAlt(_localctx, 93); { - State = 832; - Match(T__131); - State = 833; + State = 868; + Match(T__133); + State = 869; _localctx.args = function_arguments(); - State = 834; - Match(T__28); + State = 870; + Match(T__30); Assert("gamma", 1, _localctx.args.list.Count); _localctx.value = MathS.Gamma(_localctx.args.list[0]); } break; case 94: EnterOuterAlt(_localctx, 94); { - State = 837; - Match(T__132); - State = 838; + State = 873; + Match(T__134); + State = 874; _localctx.args = function_arguments(); - State = 839; - Match(T__28); + State = 875; + Match(T__30); if (Assert("derivative", (3, 2), _localctx.args.list.Count)) { @@ -3532,12 +4222,12 @@ public AtomContext atom() { case 95: EnterOuterAlt(_localctx, 95); { - State = 842; - Match(T__133); - State = 843; + State = 878; + Match(T__135); + State = 879; _localctx.args = function_arguments(); - State = 844; - Match(T__28); + State = 880; + Match(T__30); if (Assert("integral", (4, 2), _localctx.args.list.Count)) { @@ -3554,360 +4244,360 @@ public AtomContext atom() { case 96: EnterOuterAlt(_localctx, 96); { - State = 847; - Match(T__134); - State = 848; + State = 883; + Match(T__136); + State = 884; _localctx.args = function_arguments(); - State = 849; - Match(T__28); + State = 885; + Match(T__30); 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 97: EnterOuterAlt(_localctx, 97); { - State = 852; - Match(T__135); - State = 853; + State = 888; + Match(T__137); + State = 889; _localctx.args = function_arguments(); - State = 854; - Match(T__28); + State = 890; + Match(T__30); 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 98: EnterOuterAlt(_localctx, 98); { - State = 857; - Match(T__136); - State = 858; + State = 893; + Match(T__138); + State = 894; _localctx.args = function_arguments(); - State = 859; - Match(T__28); + State = 895; + Match(T__30); 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 99: EnterOuterAlt(_localctx, 99); { - State = 862; - Match(T__137); - State = 863; + State = 898; + Match(T__139); + State = 899; _localctx.args = function_arguments(); - State = 864; - Match(T__28); + State = 900; + Match(T__30); Assert("sum", 4, _localctx.args.list.Count); _localctx.value = MathS.Sum(_localctx.args.list[0], _localctx.args.list[1], _localctx.args.list[2], _localctx.args.list[3]); } break; case 100: EnterOuterAlt(_localctx, 100); { - State = 867; - Match(T__138); - State = 868; + State = 903; + Match(T__140); + State = 904; _localctx.args = function_arguments(); - State = 869; - Match(T__28); + State = 905; + Match(T__30); Assert("product", 4, _localctx.args.list.Count); _localctx.value = MathS.Product(_localctx.args.list[0], _localctx.args.list[1], _localctx.args.list[2], _localctx.args.list[3]); } break; case 101: EnterOuterAlt(_localctx, 101); { - State = 872; - Match(T__139); - State = 873; + State = 908; + Match(T__141); + State = 909; _localctx.args = function_arguments(); - State = 874; - Match(T__28); + State = 910; + Match(T__30); Assert("signum", 1, _localctx.args.list.Count); _localctx.value = MathS.Signum(_localctx.args.list[0]); } break; case 102: EnterOuterAlt(_localctx, 102); { - State = 877; - Match(T__140); - State = 878; + State = 913; + Match(T__142); + State = 914; _localctx.args = function_arguments(); - State = 879; - Match(T__28); + State = 915; + Match(T__30); Assert("sgn", 1, _localctx.args.list.Count); _localctx.value = MathS.Signum(_localctx.args.list[0]); } break; case 103: EnterOuterAlt(_localctx, 103); { - State = 882; - Match(T__141); - State = 883; + State = 918; + Match(T__143); + State = 919; _localctx.args = function_arguments(); - State = 884; - Match(T__28); + State = 920; + Match(T__30); Assert("sign", 1, _localctx.args.list.Count); _localctx.value = MathS.Signum(_localctx.args.list[0]); } break; case 104: EnterOuterAlt(_localctx, 104); { - State = 887; - Match(T__142); - State = 888; + State = 923; + Match(T__144); + State = 924; _localctx.args = function_arguments(); - State = 889; - Match(T__28); + State = 925; + Match(T__30); Assert("abs", 1, _localctx.args.list.Count); _localctx.value = MathS.Abs(_localctx.args.list[0]); } break; case 105: EnterOuterAlt(_localctx, 105); { - State = 892; - Match(T__143); - State = 893; + State = 928; + Match(T__145); + State = 929; _localctx.args = function_arguments(); - State = 894; - Match(T__28); + State = 930; + Match(T__30); Assert("phi", 1, _localctx.args.list.Count); _localctx.value = MathS.NumberTheory.Phi(_localctx.args.list[0]); } break; case 106: EnterOuterAlt(_localctx, 106); { - State = 897; - Match(T__144); - State = 898; + State = 933; + Match(T__146); + State = 934; _localctx.args = function_arguments(); - State = 899; - Match(T__28); + State = 935; + Match(T__30); Assert("card", 1, _localctx.args.list.Count); _localctx.value = MathS.Sets.Card(_localctx.args.list[0]); } break; case 107: EnterOuterAlt(_localctx, 107); { - State = 902; - Match(T__145); - State = 903; + State = 938; + Match(T__147); + State = 939; _localctx.args = function_arguments(); - State = 904; - Match(T__28); + State = 940; + Match(T__30); Assert("powerset", 1, _localctx.args.list.Count); _localctx.value = MathS.Sets.PowerSet(_localctx.args.list[0]); } break; case 108: EnterOuterAlt(_localctx, 108); { - State = 907; - Match(T__146); - State = 908; + State = 943; + Match(T__148); + State = 944; _localctx.args = function_arguments(); - State = 909; - Match(T__28); + State = 945; + Match(T__30); Assert("union", 2, _localctx.args.list.Count); _localctx.value = _localctx.args.list[1] is Entity.Set.Inf { Element: Variable } unionRange ? MathS.Sets.IndexedUnion(_localctx.args.list[0], unionRange.Element, unionRange.SupSet) : throw new InvalidArgumentParseException("union expects its second argument to say which name ranges over which set, as in union(A_i, i in I)"); } break; case 109: EnterOuterAlt(_localctx, 109); { - State = 912; - Match(T__147); - State = 913; + State = 948; + Match(T__149); + State = 949; _localctx.args = function_arguments(); - State = 914; - Match(T__28); + State = 950; + Match(T__30); Assert("intersection", 2, _localctx.args.list.Count); _localctx.value = _localctx.args.list[1] is Entity.Set.Inf { Element: Variable } intersectionRange ? MathS.Sets.IndexedIntersection(_localctx.args.list[0], intersectionRange.Element, intersectionRange.SupSet) : throw new InvalidArgumentParseException("intersection expects its second argument to say which name ranges over which set, as in intersection(A_i, i in I)"); } break; case 110: EnterOuterAlt(_localctx, 110); { - State = 917; - Match(T__148); - State = 918; + State = 953; + Match(T__150); + State = 954; _localctx.args = function_arguments(); - State = 919; - Match(T__28); + State = 955; + Match(T__30); Assert("complement", 2, _localctx.args.list.Count); _localctx.value = MathS.Sets.Complement(_localctx.args.list[0], _localctx.args.list[1]); } break; case 111: EnterOuterAlt(_localctx, 111); { - State = 922; - Match(T__149); - State = 923; + State = 958; + Match(T__151); + State = 959; _localctx.args = function_arguments(); - State = 924; - Match(T__28); + State = 960; + Match(T__30); Assert("floor", 1, _localctx.args.list.Count); _localctx.value = MathS.Floor(_localctx.args.list[0]); } break; case 112: EnterOuterAlt(_localctx, 112); { - State = 927; - Match(T__150); - State = 928; + State = 963; + Match(T__152); + State = 964; _localctx.args = function_arguments(); - State = 929; - Match(T__28); + State = 965; + Match(T__30); Assert("ceil", 1, _localctx.args.list.Count); _localctx.value = MathS.Ceil(_localctx.args.list[0]); } break; case 113: EnterOuterAlt(_localctx, 113); { - State = 932; - Match(T__151); - State = 933; + State = 968; + Match(T__153); + State = 969; _localctx.args = function_arguments(); - State = 934; - Match(T__28); + State = 970; + Match(T__30); Assert("ceiling", 1, _localctx.args.list.Count); _localctx.value = MathS.Ceil(_localctx.args.list[0]); } break; case 114: EnterOuterAlt(_localctx, 114); { - State = 937; - Match(T__152); - State = 938; + State = 973; + Match(T__154); + State = 974; _localctx.args = function_arguments(); - State = 939; - Match(T__28); + State = 975; + Match(T__30); Assert("round", 1, _localctx.args.list.Count); _localctx.value = MathS.Round(_localctx.args.list[0]); } break; case 115: EnterOuterAlt(_localctx, 115); { - State = 942; - Match(T__153); - State = 943; + State = 978; + Match(T__155); + State = 979; _localctx.args = function_arguments(); - State = 944; - Match(T__28); + State = 980; + Match(T__30); AssertAtLeast("min", 1, _localctx.args.list.Count); _localctx.value = _localctx.args.list.Count == 2 && _localctx.args.list[1] is Entity.Set.Inf { Element: Variable } minRange ? MathS.Minimum(_localctx.args.list[0], minRange.Element, minRange.SupSet) : _localctx.args.list.Aggregate((a, b) => MathS.Min(a, b)); } break; case 116: EnterOuterAlt(_localctx, 116); { - State = 947; - Match(T__154); - State = 948; + State = 983; + Match(T__156); + State = 984; _localctx.args = function_arguments(); - State = 949; - Match(T__28); + State = 985; + Match(T__30); AssertAtLeast("max", 1, _localctx.args.list.Count); _localctx.value = _localctx.args.list.Count == 2 && _localctx.args.list[1] is Entity.Set.Inf { Element: Variable } maxRange ? MathS.Maximum(_localctx.args.list[0], maxRange.Element, maxRange.SupSet) : _localctx.args.list.Aggregate((a, b) => MathS.Max(a, b)); } break; case 117: EnterOuterAlt(_localctx, 117); { - State = 952; - Match(T__155); - State = 953; + State = 988; + Match(T__157); + State = 989; _localctx.args = function_arguments(); - State = 954; - Match(T__28); + State = 990; + Match(T__30); Assert("argmax", 2, _localctx.args.list.Count); _localctx.value = _localctx.args.list[1] is Entity.Set.Inf { Element: Variable } argmaxRange ? MathS.Argmax(_localctx.args.list[0], argmaxRange.Element, argmaxRange.SupSet) : throw new InvalidArgumentParseException("argmax expects its second argument to say which variable ranges over which set, as in argmax(f(t), t in S)"); } break; case 118: EnterOuterAlt(_localctx, 118); { - State = 957; - Match(T__156); - State = 958; + State = 993; + Match(T__158); + State = 994; _localctx.args = function_arguments(); - State = 959; - Match(T__28); + State = 995; + Match(T__30); Assert("argmin", 2, _localctx.args.list.Count); _localctx.value = _localctx.args.list[1] is Entity.Set.Inf { Element: Variable } argminRange ? MathS.Argmin(_localctx.args.list[0], argminRange.Element, argminRange.SupSet) : throw new InvalidArgumentParseException("argmin expects its second argument to say which variable ranges over which set, as in argmin(f(t), t in S)"); } break; case 119: EnterOuterAlt(_localctx, 119); { - State = 962; - Match(T__157); - State = 963; + State = 998; + Match(T__159); + State = 999; _localctx.args = function_arguments(); - State = 964; - Match(T__28); + State = 1000; + Match(T__30); AssertAtLeast("gcd", 1, _localctx.args.list.Count); _localctx.value = _localctx.args.list.Aggregate((a, b) => MathS.Gcd(a, b)); } break; case 120: EnterOuterAlt(_localctx, 120); { - State = 967; - Match(T__158); - State = 968; + State = 1003; + Match(T__160); + State = 1004; _localctx.args = function_arguments(); - State = 969; - Match(T__28); + State = 1005; + Match(T__30); AssertAtLeast("lcm", 1, _localctx.args.list.Count); _localctx.value = _localctx.args.list.Aggregate((a, b) => MathS.Lcm(a, b)); } break; case 121: EnterOuterAlt(_localctx, 121); { - State = 972; - Match(T__159); - State = 973; + State = 1008; + Match(T__161); + State = 1009; _localctx.args = function_arguments(); - State = 974; - Match(T__28); + State = 1010; + Match(T__30); Assert("binomial", 2, _localctx.args.list.Count); _localctx.value = MathS.Binomial(_localctx.args.list[0], _localctx.args.list[1]); } break; case 122: EnterOuterAlt(_localctx, 122); { - State = 977; - Match(T__160); - State = 978; + State = 1013; + Match(T__162); + State = 1014; _localctx.args = function_arguments(); - State = 979; - Match(T__28); + State = 1015; + Match(T__30); _localctx.value = NotImplementedFunction("trunc", "rounding functions"); } break; case 123: EnterOuterAlt(_localctx, 123); { - State = 982; - Match(T__161); - State = 983; + State = 1018; + Match(T__163); + State = 1019; _localctx.args = function_arguments(); - State = 984; - Match(T__28); + State = 1020; + Match(T__30); _localctx.value = NotImplementedFunction("erf", "error function"); } break; case 124: EnterOuterAlt(_localctx, 124); { - State = 987; - Match(T__162); - State = 988; + State = 1023; + Match(T__164); + State = 1024; _localctx.args = function_arguments(); - State = 989; - Match(T__28); + State = 1025; + Match(T__30); _localctx.value = NotImplementedFunction("conjugate", "complex conjugate as a symbolic function"); } break; case 125: EnterOuterAlt(_localctx, 125); { - State = 992; - Match(T__163); - State = 993; + State = 1028; + Match(T__165); + State = 1029; _localctx.args = function_arguments(); - State = 994; - Match(T__28); + State = 1030; + Match(T__30); Assert("domain", 2, _localctx.args.list.Count); // `Any` is the unrestricted codomain. It is read here rather than lexed as a @@ -3936,12 +4626,12 @@ public AtomContext atom() { case 126: EnterOuterAlt(_localctx, 126); { - State = 997; - Match(T__164); - State = 998; + State = 1033; + Match(T__166); + State = 1034; _localctx.args = function_arguments(); - State = 999; - Match(T__28); + State = 1035; + Match(T__30); var cases = new List(); foreach (var arg in _localctx.args.list) @@ -3956,12 +4646,12 @@ public AtomContext atom() { case 127: EnterOuterAlt(_localctx, 127); { - State = 1002; - Match(T__165); - State = 1003; + State = 1038; + Match(T__167); + State = 1039; _localctx.args = function_arguments(); - State = 1004; - Match(T__28); + State = 1040; + Match(T__30); if (_localctx.args.list.Count < 2) throw new FunctionArgumentCountException("Should be at least one argument in apply function"); @@ -3972,12 +4662,12 @@ public AtomContext atom() { case 128: EnterOuterAlt(_localctx, 128); { - State = 1007; - Match(T__166); - State = 1008; + State = 1043; + Match(T__168); + State = 1044; _localctx.args = function_arguments(); - State = 1009; - Match(T__28); + State = 1045; + Match(T__30); if (_localctx.args.list.Count < 2) throw new FunctionArgumentCountException("Should be at least two arguments in lambda function"); @@ -4035,13 +4725,13 @@ public override void ExitRule(IParseTreeListener listener) { [RuleVersion(0)] public StatementContext statement() { StatementContext _localctx = new StatementContext(Context, State); - EnterRule(_localctx, 48, RULE_statement); + EnterRule(_localctx, 50, RULE_statement); try { EnterOuterAlt(_localctx, 1); { - State = 1014; + State = 1050; _localctx._expression = expression(); - State = 1015; + State = 1051; Match(Eof); Result = _localctx._expression.value; } @@ -4058,364 +4748,378 @@ public StatementContext statement() { } private static int[] _serializedATN = { - 4,1,175,1019,2,0,7,0,2,1,7,1,2,2,7,2,2,3,7,3,2,4,7,4,2,5,7,5,2,6,7,6,2, + 4,1,177,1055,2,0,7,0,2,1,7,1,2,2,7,2,2,3,7,3,2,4,7,4,2,5,7,5,2,6,7,6,2, 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, - 2,22,7,22,2,23,7,23,2,24,7,24,1,0,1,0,1,0,1,0,1,0,1,0,1,0,3,0,58,8,0,1, - 1,1,1,1,1,1,1,4,1,64,8,1,11,1,12,1,65,1,1,1,1,1,1,1,1,4,1,72,8,1,11,1, - 12,1,73,3,1,76,8,1,1,2,1,2,1,2,1,2,1,2,3,2,83,8,2,1,3,1,3,1,3,1,3,1,3, - 1,3,1,3,1,3,3,3,93,8,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,1,3,3,3,103,8,3,1,3, - 1,3,1,3,3,3,108,8,3,1,4,1,4,1,4,1,4,1,4,1,4,1,4,1,4,1,4,1,4,1,4,1,4,1, - 4,1,4,5,4,124,8,4,10,4,12,4,127,9,4,1,5,1,5,1,5,1,5,1,5,1,5,1,5,1,5,1, - 5,1,5,5,5,139,8,5,10,5,12,5,142,9,5,1,6,1,6,1,6,1,6,1,6,1,6,1,6,1,6,1, - 6,1,6,5,6,154,8,6,10,6,12,6,157,9,6,1,7,1,7,1,7,1,7,1,7,1,7,1,7,1,7,1, - 7,1,7,1,7,1,7,1,7,1,7,1,7,1,7,1,7,1,7,5,7,177,8,7,10,7,12,7,180,9,7,1, - 8,1,8,1,8,1,8,1,8,1,8,1,8,1,8,1,8,1,8,1,8,1,8,1,8,1,8,1,8,1,8,1,8,1,8, - 1,8,1,8,1,8,1,8,1,8,1,8,1,8,1,8,1,8,1,8,1,8,1,8,5,8,212,8,8,10,8,12,8, - 215,9,8,1,9,1,9,1,9,1,9,1,9,1,9,1,9,1,9,1,9,1,9,1,9,1,9,1,9,1,9,1,9,1, - 9,3,9,233,8,9,1,9,1,9,1,9,5,9,238,8,9,10,9,12,9,241,9,9,1,9,1,9,1,9,1, - 9,1,9,1,9,3,9,249,8,9,1,9,1,9,1,10,1,10,1,10,1,10,1,10,1,10,1,10,1,10, - 1,10,1,10,1,10,1,10,1,10,1,10,1,10,3,10,268,8,10,1,11,1,11,1,11,1,11,1, - 11,1,11,1,11,1,11,1,11,1,11,5,11,280,8,11,10,11,12,11,283,9,11,1,12,1, - 12,1,12,1,12,1,12,1,12,5,12,291,8,12,10,12,12,12,294,9,12,1,13,1,13,1, - 13,1,13,1,13,1,13,5,13,302,8,13,10,13,12,13,305,9,13,1,14,1,14,1,14,1, - 14,1,14,1,14,1,14,1,14,1,14,1,14,5,14,317,8,14,10,14,12,14,320,9,14,1, - 15,1,15,1,15,1,15,1,15,1,15,3,15,328,8,15,1,16,1,16,1,16,1,16,1,16,1,16, - 3,16,336,8,16,1,16,1,16,1,16,3,16,341,8,16,1,17,1,17,1,17,1,17,1,17,1, - 17,1,18,1,18,1,18,1,18,1,18,1,18,3,18,355,8,18,1,19,1,19,1,19,1,19,1,19, - 1,19,5,19,363,8,19,10,19,12,19,366,9,19,1,19,1,19,1,20,1,20,1,20,1,20, - 1,20,1,20,5,20,376,8,20,10,20,12,20,379,9,20,3,20,381,8,20,1,21,1,21,1, - 21,1,21,1,21,1,21,1,22,1,22,1,22,1,22,1,22,1,22,1,23,1,23,1,23,1,23,1, - 23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1, - 23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1, - 23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1, - 23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1, - 23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1, - 23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1, - 23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1, - 23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1, - 23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1, - 23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1, - 23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1, - 23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1, - 23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1, - 23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1, - 23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1, - 23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1, - 23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1, - 23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1, - 23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1, - 23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1, - 23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1, - 23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1, - 23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1, - 23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1, - 23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1, - 23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1, - 23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1, - 23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1, - 23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1, - 23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1, - 23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1, - 23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1, - 23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1, - 23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1, - 23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1, - 23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1, - 23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1, - 23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1, - 23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1, - 23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1, - 23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1, - 23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1, - 23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1, - 23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,1,23,3,23,1013,8, - 23,1,24,1,24,1,24,1,24,1,24,0,0,25,0,2,4,6,8,10,12,14,16,18,20,22,24,26, - 28,30,32,34,36,38,40,42,44,46,48,0,3,1,0,40,41,1,0,42,43,1,0,44,45,1172, - 0,57,1,0,0,0,2,75,1,0,0,0,4,77,1,0,0,0,6,107,1,0,0,0,8,109,1,0,0,0,10, - 128,1,0,0,0,12,143,1,0,0,0,14,158,1,0,0,0,16,181,1,0,0,0,18,216,1,0,0, - 0,20,267,1,0,0,0,22,269,1,0,0,0,24,284,1,0,0,0,26,295,1,0,0,0,28,306,1, - 0,0,0,30,321,1,0,0,0,32,340,1,0,0,0,34,342,1,0,0,0,36,354,1,0,0,0,38,356, - 1,0,0,0,40,380,1,0,0,0,42,382,1,0,0,0,44,388,1,0,0,0,46,1012,1,0,0,0,48, - 1014,1,0,0,0,50,51,3,46,23,0,51,52,5,1,0,0,52,53,6,0,-1,0,53,58,1,0,0, - 0,54,55,3,46,23,0,55,56,6,0,-1,0,56,58,1,0,0,0,57,50,1,0,0,0,57,54,1,0, - 0,0,58,1,1,0,0,0,59,60,5,2,0,0,60,61,3,0,0,0,61,62,6,1,-1,0,62,64,1,0, - 0,0,63,59,1,0,0,0,64,65,1,0,0,0,65,63,1,0,0,0,65,66,1,0,0,0,66,76,1,0, - 0,0,67,68,5,2,0,0,68,69,3,6,3,0,69,70,6,1,-1,0,70,72,1,0,0,0,71,67,1,0, - 0,0,72,73,1,0,0,0,73,71,1,0,0,0,73,74,1,0,0,0,74,76,1,0,0,0,75,63,1,0, - 0,0,75,71,1,0,0,0,76,3,1,0,0,0,77,78,3,0,0,0,78,82,6,2,-1,0,79,80,3,2, - 1,0,80,81,6,2,-1,0,81,83,1,0,0,0,82,79,1,0,0,0,82,83,1,0,0,0,83,5,1,0, - 0,0,84,85,5,3,0,0,85,86,3,4,2,0,86,87,6,3,-1,0,87,93,1,0,0,0,88,89,5,4, - 0,0,89,90,3,4,2,0,90,91,6,3,-1,0,91,93,1,0,0,0,92,84,1,0,0,0,92,88,1,0, - 0,0,93,108,1,0,0,0,94,95,5,3,0,0,95,96,3,6,3,0,96,97,6,3,-1,0,97,103,1, - 0,0,0,98,99,5,4,0,0,99,100,3,6,3,0,100,101,6,3,-1,0,101,103,1,0,0,0,102, - 94,1,0,0,0,102,98,1,0,0,0,103,108,1,0,0,0,104,105,3,4,2,0,105,106,6,3, - 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3,32,16,0,346,347,6,17,-1,0,347,35,1,0,0,0,348,349,7,0,0,0,349,355,6,18, - -1,0,350,351,7,1,0,0,351,355,6,18,-1,0,352,353,7,2,0,0,353,355,6,18,-1, - 0,354,348,1,0,0,0,354,350,1,0,0,0,354,352,1,0,0,0,355,37,1,0,0,0,356,357, - 3,16,8,0,357,364,6,19,-1,0,358,359,5,46,0,0,359,360,3,16,8,0,360,361,6, - 19,-1,0,361,363,1,0,0,0,362,358,1,0,0,0,363,366,1,0,0,0,364,362,1,0,0, - 0,364,365,1,0,0,0,365,367,1,0,0,0,366,364,1,0,0,0,367,368,6,19,-1,0,368, - 39,1,0,0,0,369,370,3,32,16,0,370,377,6,20,-1,0,371,372,5,46,0,0,372,373, - 3,32,16,0,373,374,6,20,-1,0,374,376,1,0,0,0,375,371,1,0,0,0,376,379,1, - 0,0,0,377,375,1,0,0,0,377,378,1,0,0,0,378,381,1,0,0,0,379,377,1,0,0,0, - 380,369,1,0,0,0,380,381,1,0,0,0,381,41,1,0,0,0,382,383,3,32,16,0,383,384, - 6,21,-1,0,384,385,5,47,0,0,385,386,3,32,16,0,386,387,6,21,-1,0,387,43, - 1,0,0,0,388,389,3,32,16,0,389,390,6,22,-1,0,390,391,5,39,0,0,391,392,3, - 32,16,0,392,393,6,22,-1,0,393,45,1,0,0,0,394,395,5,48,0,0,395,1013,6,23, - 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0,1045,1046,5,31,0,0,1046,1047,6,24,-1,0,1047,1049,1,0,0,0,1048,430,1, + 0,0,0,1048,432,1,0,0,0,1048,434,1,0,0,0,1048,436,1,0,0,0,1048,438,1,0, + 0,0,1048,440,1,0,0,0,1048,442,1,0,0,0,1048,444,1,0,0,0,1048,449,1,0,0, + 0,1048,453,1,0,0,0,1048,458,1,0,0,0,1048,463,1,0,0,0,1048,468,1,0,0,0, + 1048,473,1,0,0,0,1048,478,1,0,0,0,1048,483,1,0,0,0,1048,488,1,0,0,0,1048, + 493,1,0,0,0,1048,498,1,0,0,0,1048,503,1,0,0,0,1048,508,1,0,0,0,1048,513, + 1,0,0,0,1048,518,1,0,0,0,1048,523,1,0,0,0,1048,528,1,0,0,0,1048,533,1, + 0,0,0,1048,538,1,0,0,0,1048,543,1,0,0,0,1048,548,1,0,0,0,1048,553,1,0, + 0,0,1048,558,1,0,0,0,1048,563,1,0,0,0,1048,568,1,0,0,0,1048,573,1,0,0, + 0,1048,578,1,0,0,0,1048,583,1,0,0,0,1048,588,1,0,0,0,1048,593,1,0,0,0, + 1048,598,1,0,0,0,1048,603,1,0,0,0,1048,608,1,0,0,0,1048,613,1,0,0,0,1048, + 618,1,0,0,0,1048,623,1,0,0,0,1048,628,1,0,0,0,1048,633,1,0,0,0,1048,638, + 1,0,0,0,1048,643,1,0,0,0,1048,648,1,0,0,0,1048,653,1,0,0,0,1048,658,1, + 0,0,0,1048,663,1,0,0,0,1048,668,1,0,0,0,1048,673,1,0,0,0,1048,678,1,0, + 0,0,1048,683,1,0,0,0,1048,688,1,0,0,0,1048,693,1,0,0,0,1048,698,1,0,0, + 0,1048,703,1,0,0,0,1048,708,1,0,0,0,1048,713,1,0,0,0,1048,718,1,0,0,0, + 1048,723,1,0,0,0,1048,728,1,0,0,0,1048,733,1,0,0,0,1048,738,1,0,0,0,1048, + 743,1,0,0,0,1048,748,1,0,0,0,1048,753,1,0,0,0,1048,758,1,0,0,0,1048,763, + 1,0,0,0,1048,768,1,0,0,0,1048,773,1,0,0,0,1048,778,1,0,0,0,1048,783,1, + 0,0,0,1048,788,1,0,0,0,1048,793,1,0,0,0,1048,798,1,0,0,0,1048,803,1,0, + 0,0,1048,808,1,0,0,0,1048,813,1,0,0,0,1048,818,1,0,0,0,1048,823,1,0,0, + 0,1048,828,1,0,0,0,1048,833,1,0,0,0,1048,838,1,0,0,0,1048,843,1,0,0,0, + 1048,848,1,0,0,0,1048,853,1,0,0,0,1048,858,1,0,0,0,1048,863,1,0,0,0,1048, + 868,1,0,0,0,1048,873,1,0,0,0,1048,878,1,0,0,0,1048,883,1,0,0,0,1048,888, + 1,0,0,0,1048,893,1,0,0,0,1048,898,1,0,0,0,1048,903,1,0,0,0,1048,908,1, + 0,0,0,1048,913,1,0,0,0,1048,918,1,0,0,0,1048,923,1,0,0,0,1048,928,1,0, + 0,0,1048,933,1,0,0,0,1048,938,1,0,0,0,1048,943,1,0,0,0,1048,948,1,0,0, + 0,1048,953,1,0,0,0,1048,958,1,0,0,0,1048,963,1,0,0,0,1048,968,1,0,0,0, + 1048,973,1,0,0,0,1048,978,1,0,0,0,1048,983,1,0,0,0,1048,988,1,0,0,0,1048, + 993,1,0,0,0,1048,998,1,0,0,0,1048,1003,1,0,0,0,1048,1008,1,0,0,0,1048, + 1013,1,0,0,0,1048,1018,1,0,0,0,1048,1023,1,0,0,0,1048,1028,1,0,0,0,1048, + 1033,1,0,0,0,1048,1038,1,0,0,0,1048,1043,1,0,0,0,1049,49,1,0,0,0,1050, + 1051,3,32,16,0,1051,1052,5,0,0,1,1052,1053,6,25,-1,0,1053,51,1,0,0,0,42, + 59,67,75,77,84,94,104,109,119,129,131,144,150,152,167,169,190,192,225, + 227,246,253,262,281,293,295,306,317,330,332,341,349,354,368,378,391,394, + 401,409,413,416,1048 }; public static readonly ATN _ATN = diff --git a/Sources/AngouriMath/Core/PatternOperator.cs b/Sources/AngouriMath/Core/PatternOperator.cs new file mode 100644 index 000000000..1e50acf24 --- /dev/null +++ b/Sources/AngouriMath/Core/PatternOperator.cs @@ -0,0 +1,171 @@ +// +// Copyright (c) 2019-2026 Angouri. +// AngouriMath is licensed under MIT. +// Details: https://github.com/asc-community/AngouriMath/blob/master/LICENSE.md. +// Website: https://am.angouri.org. +// + +using System.Collections.Generic; +using System.Linq; +using AngouriMath.Core.Exceptions; +using PeterO.Numbers; +using static AngouriMath.Entity; +using static AngouriMath.Entity.Number; + +namespace AngouriMath.Core +{ + /// + /// The pattern operator, ... (or …): between shown terms it names the + /// progression the shown terms determine, and the term after it names where the + /// progression stops. {1, 2, ..., n} is the integers from 1 to n, + /// {2, 4, ..., 2 n} the even ones, {5, 10, 15, ...} every positive multiple of + /// five, {..., -1, 0} the non-positive integers; 1 + 2 + ... + n is + /// sum(k, k, 1, n) and 1 * 2 * ... * n is product(k, k, 1, n). + /// + /// + /// + /// What is read, and what is refused. An arithmetic progression of whole numbers, + /// from at least two shown terms on one side of the dots: the step is the difference of the + /// first two, and every further shown term has to be on the progression, or the input is + /// refused with the term that is not. Three shown terms with no step in common, + /// {1, 4, 9, ...}, are a guess about the writer's rule and are refused rather than + /// answered with the smallest polynomial through them. A progression of anything but whole + /// numbers, {1/2, 1, 3/2, ..., n}, is refused too: a set of those is the image of a + /// range, which has no node yet. + /// + /// + /// What is built. Nothing new: a set is ZZ /\ [a; z] for step one and a residue + /// class cut by the interval, { x in ZZ : x = a (mod d) } /\ [a; z], otherwise -- both + /// list their members when the ends are numbers, and stay written over a symbolic end; a + /// one-sided pattern is the class cut by a ray. A sum is sum(a + d k, k, 0, (z - a)/d) + /// and a product the same under product, with the index named k, or k_1 + /// where the terms mention k. The general term with an index shown, a_1 + ... + a_n, + /// and the list of names of symbolic length, f(x_1, ..., x_n), are the larger half of + /// #1437 and wait for + /// v3's design of a family of names. + /// + /// + internal static class PatternOperator + { + /// The items of a set literal, standing for the dots. + internal static Entity Set(IReadOnlyList items) + { + var dots = items.Select((item, index) => (item, index)).Where(pair => pair.item is null).Select(pair => pair.index).ToList(); + if (dots.Count != 1) + throw new InvalidArgumentParseException("A set written with dots has one ... in it, between or beside the terms that show the progression"); + var before = items.Take(dots[0]).Cast().ToList(); + var after = items.Skip(dots[0] + 1).Cast().ToList(); + if (before.Count >= 2) + { + var (first, step) = Progression(before); + if (after.Count == 0) + return ClassOn(first, step, from: first, to: null); + var last = after[^1]; + if (after.Count > 1) + CheckOnTheProgression(last, -step, after.Take(after.Count - 1).Reverse().ToList()); + return ClassOn(first, step, from: first, to: last); + } + if (before.Count == 1 && after.Count >= 1) + { + // {a, ..., z}: one term each side names the whole numbers from a to z, step one + // being the convention when nothing shows another. + var last = after[^1]; + if (after.Count > 1) + CheckOnTheProgression(last, Integer.MinusOne, after.Take(after.Count - 1).Reverse().ToList()); + return ClassOn(before[0], Integer.One, from: before[0], to: last); + } + if (after.Count >= 2 && before.Count == 0) + { + // {..., y, z}: the step is read in the written order, and the shown terms are + // checked backwards from the end; the set is unbounded on the side of the dots. + var last = after[^1]; + var step = Step(after[^2], after[^1]); + CheckOnTheProgression(last, -step, after.Take(after.Count - 1).Reverse().ToList()); + return ClassOn(last, step, from: null, to: last); + } + throw new InvalidArgumentParseException("A set written with dots shows at least two terms of the progression on one side of them, as {1, 2, ..., n} or {..., -1, 0}"); + } + + /// + /// The terms shown before the dots of a sum or a product, and the one after; the terms + /// are where a division or a mod stood among the factors. + /// + internal static Entity SumOrProduct(IReadOnlyList? before, Entity? last, bool product) + { + if (before is null) + throw new InvalidArgumentParseException("A product written with dots is a product of its factors, as 1 * 2 * ... * n, with no division or mod among them"); + if (before.Count < 2 || last is null) + throw new InvalidArgumentParseException( + product ? "A product written with dots shows at least two factors before them and the last one after, as 1 * 2 * ... * n" + : "A sum written with dots shows at least two terms before them and the last one after, as 1 + 2 + ... + n"); + var (first, step) = Progression(before); + var terms = before.Append(last).ToList(); + var mentioned = terms.SelectMany(term => term.Vars); + var k = Variable.CreateUnique(mentioned.Any() ? terms.Aggregate((a, b) => a + b) : Integer.Zero, "k"); + // With step one the index is the term itself, sum(k, k, a, z); otherwise the term + // is a + d k from k = 0 to (z - a)/d. + if (step == Integer.One) + return product ? MathS.Product(k, k, first, last) : MathS.Sum(k, k, first, last); + var term = (first + step * k).InnerSimplified; + var count = ((last - first) / step).InnerSimplified; + return product ? MathS.Product(term, k, Integer.Zero, count) : MathS.Sum(term, k, Integer.Zero, count); + } + + /// + /// The first term and the step of the arithmetic progression the shown terms are on: + /// the step is the difference of the first two, and each further term is checked. + /// + private static (Entity first, Entity step) Progression(IReadOnlyList shown) + { + var first = shown[0]; + var step = Step(shown[0], shown[1]); + CheckOnTheProgression(first, step, shown.Skip(2).ToList(), offset: 2); + return (first, step); + } + + /// The difference of two consecutive shown terms, simplified so that (k + 1) - k is 1; zero is refused. + private static Entity Step(Entity previous, Entity next) + { + var step = Functions.PartialFractions.Bare((next - previous).Simplify()); + if (step.Evaled is Complex { IsZero: true }) + throw new InvalidArgumentParseException($"The terms shown, {previous} and {next}, are the same, so the dots name no progression"); + return step; + } + + private static void CheckOnTheProgression(Entity first, Entity step, IReadOnlyList rest, int offset = 1) + { + for (var i = 0; i < rest.Count; i++) + { + var expected = (first + step * Integer.Create(i + offset)).InnerSimplified; + if (expected != rest[i].InnerSimplified && !(Functions.PartialFractions.Bare((expected - rest[i]).Simplify()).Evaled is Complex { IsZero: true })) + throw new InvalidArgumentParseException( + $"The terms shown are not one arithmetic progression: after {first} with step {step}, {rest[i]} was written where {expected} would be. Three or more terms with no common step name no progression, and a rule other than a common step is not guessed"); + } + } + + /// + /// The whole numbers congruent to modulo the step, between the + /// ends that are given: a ray or a segment of the class. Refused for anything but a + /// whole first term and step. + /// + private static Entity ClassOn(Entity first, Entity step, Entity? from, Entity? to) + { + if (step.Evaled is not Integer difference || first.Evaled is Number and not Integer) + throw new InvalidArgumentParseException( + $"Only a progression of whole numbers is read from dots in a set: {first} with step {step} is not one, and the image of a range has no node yet"); + var x = Variable.CreateUnique(first + step + (from ?? Integer.Zero) + (to ?? Integer.Zero), "x"); + // A symbolic first term, {k - 2, ..., k + 2}, is a whole number by the writer's + // intent, and the class is written with it as the residue. + Set members = first.Evaled is Integer start + ? Functions.ResidueClasses.Create(x, start.EInteger, difference.EInteger) + : difference.EInteger.Abs().Equals(EInteger.One) ? MathS.Sets.Z + : new Entity.Set.ConditionalSet(x, x.In(MathS.Sets.Z) & new Congruentf(x, first, Integer.Create(difference.EInteger.Abs()))); + // A negative step runs down: the shown first term is the largest. + var (low, high) = difference.EInteger.Sign > 0 ? (from, to) : (to, from); + Entity left = low ?? Real.NegativeInfinity; + Entity right = high ?? Real.PositiveInfinity; + var cut = new Entity.Set.Interval(left, low is not null, right, high is not null); + return members.Intersect(cut); + } + } +} diff --git a/Sources/AngouriMath/Docs/Usage/Syntax.md b/Sources/AngouriMath/Docs/Usage/Syntax.md index 8a00853b6..c12a0ce38 100644 --- a/Sources/AngouriMath/Docs/Usage/Syntax.md +++ b/Sources/AngouriMath/Docs/Usage/Syntax.md @@ -170,6 +170,7 @@ with an operator parses. | power set | `powerset(A)` — the set of all subsets of `A`; listed for a finite `A` (`powerset({1, 2})` is `{ {}, {1}, {2}, {1, 2} }`, `powerset({})` is `{ {} }`), and for an infinite one an object that answers membership: `{1, 3} in powerset(ZZ)` is `True` | | integer range | `ZZ /\ [1; 10]`, `ZZ+ /\ [-2; 3]`, `[0; 2.5] /\ ZZ*` — an integer set cut by a numeric interval lists its members (up to 4096 of them): `{ 1, 2, …, 10 }`, `{ 1, 2, 3 }`, `{ 0, 1, 2 }`. The `[n] = {1, …, n}` of combinatorics is `ZZ+ /\ [1; n]` | | indexed union, intersection | `union(A_k, k in I)`, `intersection(A_k, k in I)` — `⋃_{k ∈ I} A_k` and `⋂_{k ∈ I} A_k`; the name is bound, as under `sum`. Folded over a listed index set (`union({k, 2 k}, k in ZZ+ /\ [1; 10])` is `{ 1, …, 10, 12, 14, 16, 18, 20 }`), and over any other an object whose membership goes through the quantifiers: `0 in intersection([0; 1/n), n in ZZ+)` is `True` and `0.1 in …` is `False`. Note that `i` is the imaginary unit, so an index is `k` or `n` | +| pattern | `{1, 2, ..., n}`, `{2, 4, ..., 2 n}`, `{5, 10, 15, ...}`, `{..., -1, 0}`, `{k - 2, ..., k + 2}` — also `…`; the dots name the arithmetic progression of whole numbers the shown terms determine (the step is the difference of the first two, or one when a single term is shown on each side), and the term after them names where it stops. Built from what exists: `ZZ /\ [1; n]`, a residue class cut by an interval, listed when the ends are numbers. Refused: terms with no common step (`{1, 4, 9, ...}` guesses nothing), a progression that is not of whole numbers, dots with nothing to determine them. In a sum or a product, `1 + 2 + ... + n` is `sum(k, k, 1, n)` and `1 * 2 * ... * n` is `product(k, k, 1, n)` | | complement | `complement(A, U)` — the complement of `A` relative to the universe `U`, which is `U \ A`; there is no universal set, so a complement is always relative to one | **Subset.** `A subset B` — also `A ⊆ B`, which the parser reads and `Stringize` does not yet diff --git a/Sources/Tests/UnitTests/Core/PatternOperatorTest.cs b/Sources/Tests/UnitTests/Core/PatternOperatorTest.cs new file mode 100644 index 000000000..698221ecc --- /dev/null +++ b/Sources/Tests/UnitTests/Core/PatternOperatorTest.cs @@ -0,0 +1,104 @@ +// +// Copyright (c) 2019-2026 Angouri. +// AngouriMath is licensed under MIT. +// Details: https://github.com/asc-community/AngouriMath/blob/master/LICENSE.md. +// Website: https://am.angouri.org. +// + +using AngouriMath.Core.Exceptions; +using AngouriMath.Extensions; +using Xunit; +using static AngouriMath.Entity; + +namespace AngouriMath.Tests.Core +{ + /// + /// The pattern operator, ...: between shown terms it names the progression the shown + /// terms determine, and the term after it names where it stops. The small half of + /// #1437: ranges, + /// one-sided progressions, sums and products of an arithmetic progression of whole numbers, + /// built from what exists -- ZZ /\ [a; z], a residue class cut by an interval, + /// sum, product. + /// + [Trait("Area", "Core")] + public sealed class PatternOperatorTest + { + private static Entity Evaluated(string expression) => expression.ToEntity().Evaled; + + /// A range: listed when the ends are numbers, ZZ /\ [a; z] when one is a symbol. + [Theory] + [InlineData("{1, 2, ..., 10}", "{1, 2, 3, 4, 5, 6, 7, 8, 9, 10}")] + [InlineData("{1, ..., 5}", "{1, 2, 3, 4, 5}")] + [InlineData("{1, 2, ..., 9, 10}", "{1, 2, 3, 4, 5, 6, 7, 8, 9, 10}")] + [InlineData("{1, 2, …, 4}", "{1, 2, 3, 4}")] + [InlineData("{2, 4, ..., 20}", "{2, 4, 6, 8, 10, 12, 14, 16, 18, 20}")] + [InlineData("{10, 8, ..., 0}", "{0, 2, 4, 6, 8, 10}")] + [InlineData("{1, 2, ..., n}", "ZZ /\\ [1; n]")] + [InlineData("{k - 2, ..., k + 2}", "ZZ /\\ [k - 2; k + 2]")] + [InlineData("{2, 4, ..., 2 n}", "{ x in ZZ : x = 0 (mod 2) } /\\ [2; 2 n]")] + public void ARangeIsTheProgressionShown(string expression, string expected) + => Assert.Equal(expected.ToEntity().Evaled, Evaluated(expression)); + + /// One-sided: a residue class cut by a ray, which answers membership. + [Theory] + [InlineData("7 in {1, 3, 5, ...}", "True")] + [InlineData("8 in {1, 3, 5, ...}", "False")] + [InlineData("-1 in {1, 3, 5, ...}", "False")] + [InlineData("15 in {5, 10, 15, ...}", "True")] + [InlineData("-3 in {..., -1, 0}", "True")] + [InlineData("1 in {..., -1, 0}", "False")] + [InlineData("6 in {..., 4, 2}", "True")] + [InlineData("0 in {10, 8, ...}", "True")] + [InlineData("12 in {10, 8, ...}", "False")] + public void AOneSidedProgressionAnswersMembership(string expression, string expected) + => Assert.Equal(expected.ToEntity(), Evaluated(expression)); + + /// Sums and products: 1 + 2 + ... + n is sum(k, k, 1, n), and Gauss's row evaluates. + [Theory] + [InlineData("1 + 2 + ... + 100", "5050")] + [InlineData("1 * 2 * ... * 5", "120")] + [InlineData("2 + 4 + ... + 20", "110")] + [InlineData("1 + 2 + ... + n", "sum(k, k, 1, n)")] + [InlineData("1 * 2 * ... * n", "product(k, k, 1, n)")] + public void ASumOrProductOfTheProgression(string expression, string expected) + { + var parsed = expression.ToEntity(); + var wanted = expected.ToEntity(); + Assert.True(parsed == wanted || parsed.Evaled == wanted.Evaled, $"{expression} parsed as {parsed}, not {expected}"); + } + + /// The index under a binder is a range too, the book's ∀ i ∈ {1, …, n}. + [Fact] + public void AQuantifierRangesOverAPattern() + { + Assert.Equal(Boolean.True, Evaluated("forall k in {1, 2, ..., 10} : k^2 <= 100")); + Assert.Equal(Boolean.False, Evaluated("forall k in {1, 2, ..., 10} : k^2 < 100")); + Assert.Equal("{-1, 0, 1, 2, 3, 4, 5}".ToEntity().Evaled, Evaluated("union({k - 2, ..., k + 2}, k in {1, 2, 3})")); + } + + /// + /// What is refused: terms that show no single step, a progression that is not of whole + /// numbers, dots with nothing to determine them, and dots twice. + /// + [Theory] + [InlineData("{1, 4, 9, ..., n}")] + [InlineData("{1/2, 1, ..., n}")] + [InlineData("{..., n}")] + [InlineData("{1, 1, ..., n}")] + [InlineData("{1, ..., 5, ..., 10}")] + [InlineData("1 + ... + n")] + [InlineData("1 + 2 + ...")] + public void WhatIsNotAProgressionIsRefused(string expression) + => Assert.Throws(() => expression.ToEntity()); + + /// A listed set and a plain sum are as they were. + [Fact] + public void NothingChangesWithoutDots() + { + Assert.Equal("{ 1, 2, 3 }".ToEntity(), "{1, 2, 3}".ToEntity()); + Assert.Equal("6".ToEntity(), Evaluated("1 + 2 + 3")); + Assert.Equal("x * 2.5".ToEntity(), "x*2.5".ToEntity()); + Assert.Equal("{}".ToEntity(), "{}".ToEntity()); + } + } +}