diff --git a/BREAKING-CHANGES.md b/BREAKING-CHANGES.md index 8150ff5e7..e0825c508 100644 --- a/BREAKING-CHANGES.md +++ b/BREAKING-CHANGES.md @@ -27,6 +27,8 @@ read first. | loud | `floor(x)` and ten other names the library lacks | a product, silently | `UnrecognizedFunctionParseException` | | **silent** | `sqrt(x^2)`, `sqrt(-x)` and their kind | `x`, `i*sqrt(x)` — wrong for negative x | left as written | | loud | `mod` as a variable name | a variable | a keyword, so a parse error | +| loud | `NaN` as a variable name | a variable | a keyword, so the NaN value | +| **silent** | `NaN` printed and read back | a variable of that name, which cancels and collects | the NaN value | | **silent** | `Stringize` of powers, lambdas, applications, piecewises | did not parse back | parses back | | **silent** | `Stringize` of a complex number with a fractional imaginary part | read back as its negation, or as a power | parses back | | **silent** | numbers below `1e-16` | rounded to `0` | kept | @@ -1007,6 +1009,40 @@ disagreements over 10463 expressions goes **30 to 0**. [#752](https://github.com/asc-community/AngouriMath/issues/752), PR [#758](https://github.com/asc-community/AngouriMath/pull/758). +### `NaN` is now a keyword, and the printed form of NaN reads back + +`Stringize` prints the NaN value as `NaN`, and the grammar had no such token, so reading it back gave a +**variable of that name**. A variable behaves like any symbol — it cancels, collects and compares — and +nothing on the page distinguished the two, since a variable named `NaN` also prints as `NaN`: + +| expression | was | is | +|---|---|---| +| `"NaN - NaN".Simplify()` | `0` | `NaN` | +| `"NaN / NaN".Simplify()` | `1 provided not NaN = 0` | `NaN` | +| `"NaN * 0".Evaled` | `0` | `NaN` | +| `"NaN * 2".Evaled`, `"NaN + NaN".Evaled` | left as written | `NaN` | +| `NaN` as a variable name | a variable | a parse of the NaN value | +| `NaNx`, `NaN_1`, `aNaN` | variables | variables, unchanged | + +This is the same trade `mod` took above: a word that was an identifier becomes a keyword, so an +expression using it as a variable name now means something else. It is the narrower half of the trade — +only the exact spelling is reserved, because the lexer takes the longest match, so any longer name that +merely contains it is still a variable. + +Only `NaN` is affected. Its two siblings already had tokens: `+oo` and `-oo` both print and parse, and +`Latexize` has had `\mathrm{undefined}` for all along — which is the token +[CSharpMath](https://github.com/verybadcat/CSharpMath) decodes back to `MathS.NaN`, so the LaTeX round +trip was closed already and is untouched here. + +**The round-trip test now runs in both directions.** Every case in `StringizeRoundTripTest` began from a +*string*, so it could only reach expressions the parser already produces, and a value with no source +form was invisible to all of them however many cases were added. It now also enumerates the library's +named constants by reflection — `MathS` and `Entity.Number.Real` — prints each and reads it back, so a +constant added later is covered without anyone remembering the file exists. Those two cases are what +fail against the old grammar. + +Issue [#906](https://github.com/asc-community/AngouriMath/issues/906). + ### `mod` is now a keyword | | | diff --git a/Sources/AngouriMath/Core/Antlr/AngouriMath.g b/Sources/AngouriMath/Core/Antlr/AngouriMath.g index d2f2a2de5..5e8eb23f4 100644 --- a/Sources/AngouriMath/Core/Antlr/AngouriMath.g +++ b/Sources/AngouriMath/Core/Antlr/AngouriMath.g @@ -264,6 +264,7 @@ cset_arguments returns[(Entity variable, Entity predicate) couple] atom returns[Entity value] : '+oo' { $value = Entity.Number.Real.PositiveInfinity; } | '-oo' { $value = Entity.Number.Real.NegativeInfinity; } + | NAN { $value = Entity.Number.Real.NaN; } | NUMBER { $value = Entity.Number.Complex.Parse($NUMBER.text); } | BOOLEAN { $value = Entity.Boolean.Parse($BOOLEAN.text); } | SPECIALSET { $value = Entity.Set.SpecialSet.Create($SPECIALSET.text); } @@ -478,6 +479,13 @@ SPECIALSET: ('CC' | 'RR' | 'QQ' | 'ZZ' | 'BB') ; BOOLEAN: ('true' | 'True' | 'false' | 'False') ; +// Only the one spelling, which is what Stringize prints. BOOLEAN carries two capitalisations of +// each word because it has to read back its own output -- Entity.Boolean prints True and a caller +// types true -- and NaN prints and reads the same way, so there is nothing to reconcile. +// Declared above VARIABLE, since equal-length matches go to the earlier rule and this word would +// otherwise be an identifier. https://github.com/asc-community/AngouriMath/issues/906 +NAN: 'NaN' ; + VARIABLE: ('a'..'z'|'A'..'Z'|'\u0370'..'\u03FF'|'\u1F00'..'\u1FFF'|'\u0400'..'\u04FF')+ ('_' ('a'..'z'|'A'..'Z'|'0'..'9'|'\u0370'..'\u03FF'|'\u1F00'..'\u1FFF'|'\u0400'..'\u04FF')+)? ; COMMENT: ('//' ~[\r\n]* '\r'? '\n' | '/*' .*? '*/') -> skip ; diff --git a/Sources/AngouriMath/Core/Antlr/AngouriMath.interp b/Sources/AngouriMath/Core/Antlr/AngouriMath.interp index 847ccacd2..3bde043f9 100644 --- a/Sources/AngouriMath/Core/Antlr/AngouriMath.interp +++ b/Sources/AngouriMath/Core/Antlr/AngouriMath.interp @@ -147,6 +147,7 @@ null null null null +'NaN' null null null @@ -300,6 +301,7 @@ NEWLINE NUMBER SPECIALSET BOOLEAN +NAN VARIABLE COMMENT WS @@ -330,4 +332,4 @@ statement atn: -[4, 1, 150, 886, 2, 0, 7, 0, 2, 1, 7, 1, 2, 2, 7, 2, 2, 3, 7, 3, 2, 4, 7, 4, 2, 5, 7, 5, 2, 6, 7, 6, 2, 7, 7, 7, 2, 8, 7, 8, 2, 9, 7, 9, 2, 10, 7, 10, 2, 11, 7, 11, 2, 12, 7, 12, 2, 13, 7, 13, 2, 14, 7, 14, 2, 15, 7, 15, 2, 16, 7, 16, 2, 17, 7, 17, 2, 18, 7, 18, 2, 19, 7, 19, 2, 20, 7, 20, 2, 21, 7, 21, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 3, 0, 52, 8, 0, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 58, 8, 1, 11, 1, 12, 1, 59, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 66, 8, 1, 11, 1, 12, 1, 67, 3, 1, 70, 8, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 3, 2, 77, 8, 2, 1, 3, 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0, 881, 766, 1, 0, 0, 0, 881, 771, 1, 0, 0, 0, 881, 776, 1, 0, 0, 0, 881, 781, 1, 0, 0, 0, 881, 786, 1, 0, 0, 0, 881, 791, 1, 0, 0, 0, 881, 796, 1, 0, 0, 0, 881, 801, 1, 0, 0, 0, 881, 806, 1, 0, 0, 0, 881, 811, 1, 0, 0, 0, 881, 816, 1, 0, 0, 0, 881, 821, 1, 0, 0, 0, 881, 826, 1, 0, 0, 0, 881, 831, 1, 0, 0, 0, 881, 836, 1, 0, 0, 0, 881, 841, 1, 0, 0, 0, 881, 846, 1, 0, 0, 0, 881, 851, 1, 0, 0, 0, 881, 856, 1, 0, 0, 0, 881, 861, 1, 0, 0, 0, 881, 866, 1, 0, 0, 0, 881, 871, 1, 0, 0, 0, 881, 876, 1, 0, 0, 0, 882, 41, 1, 0, 0, 0, 883, 884, 3, 32, 16, 0, 884, 885, 5, 0, 0, 1, 885, 886, 6, 21, -1, 0, 886, 43, 1, 0, 0, 0, 31, 51, 59, 67, 69, 76, 86, 96, 101, 117, 119, 132, 134, 147, 149, 170, 172, 183, 200, 207, 223, 235, 237, 248, 261, 263, 276, 278, 287, 300, 303, 881] \ No newline at end of file diff --git a/Sources/AngouriMath/Core/Antlr/AngouriMath.tokens b/Sources/AngouriMath/Core/Antlr/AngouriMath.tokens index 3ef57341c..12376d905 100644 --- a/Sources/AngouriMath/Core/Antlr/AngouriMath.tokens +++ b/Sources/AngouriMath/Core/Antlr/AngouriMath.tokens @@ -145,9 +145,10 @@ NEWLINE=144 NUMBER=145 SPECIALSET=146 BOOLEAN=147 -VARIABLE=148 -COMMENT=149 -WS=150 +NAN=148 +VARIABLE=149 +COMMENT=150 +WS=151 '!'=1 '^'=2 '-'=3 @@ -291,3 +292,4 @@ WS=150 'piecewise('=141 'apply('=142 'lambda('=143 +'NaN'=148 diff --git a/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.cs b/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.cs index e237563c9..5fe30260b 100644 --- a/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.cs +++ b/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.cs @@ -55,8 +55,8 @@ public const int T__125=126, T__126=127, T__127=128, T__128=129, T__129=130, T__130=131, T__131=132, T__132=133, T__133=134, T__134=135, T__135=136, T__136=137, T__137=138, T__138=139, T__139=140, T__140=141, T__141=142, T__142=143, - NEWLINE=144, NUMBER=145, SPECIALSET=146, BOOLEAN=147, VARIABLE=148, COMMENT=149, - WS=150; + NEWLINE=144, NUMBER=145, SPECIALSET=146, BOOLEAN=147, NAN=148, VARIABLE=149, + COMMENT=150, WS=151; public static string[] channelNames = { "DEFAULT_TOKEN_CHANNEL", "HIDDEN" }; @@ -85,7 +85,7 @@ public const int "T__126", "T__127", "T__128", "T__129", "T__130", "T__131", "T__132", "T__133", "T__134", "T__135", "T__136", "T__137", "T__138", "T__139", "T__140", "T__141", "T__142", "NEWLINE", "EXPONENT", "NUMBER", "SPECIALSET", - "BOOLEAN", "VARIABLE", "COMMENT", "WS" + "BOOLEAN", "NAN", "VARIABLE", "COMMENT", "WS" }; @@ -126,7 +126,8 @@ public AngouriMathLexer(ICharStream input, TextWriter output, TextWriter errorOu "'integral('", "'limit('", "'limitleft('", "'limitright('", "'signum('", "'sgn('", "'sign('", "'abs('", "'phi('", "'floor('", "'ceil('", "'ceiling('", "'round('", "'min('", "'max('", "'gcd('", "'trunc('", "'lcm('", "'erf('", - "'conjugate('", "'domain('", "'piecewise('", "'apply('", "'lambda('" + "'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, @@ -141,7 +142,8 @@ 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", "VARIABLE", "COMMENT", "WS" + "NEWLINE", "NUMBER", "SPECIALSET", "BOOLEAN", "NAN", "VARIABLE", "COMMENT", + "WS" }; public static readonly IVocabulary DefaultVocabulary = new Vocabulary(_LiteralNames, _SymbolicNames); @@ -171,7 +173,7 @@ static AngouriMathLexer() { } } private static int[] _serializedATN = { - 4,0,150,1291,6,-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, + 4,0,151,1297,6,-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, @@ -193,421 +195,423 @@ static AngouriMathLexer() { 7,128,2,129,7,129,2,130,7,130,2,131,7,131,2,132,7,132,2,133,7,133,2,134, 7,134,2,135,7,135,2,136,7,136,2,137,7,137,2,138,7,138,2,139,7,139,2,140, 7,140,2,141,7,141,2,142,7,142,2,143,7,143,2,144,7,144,2,145,7,145,2,146, - 7,146,2,147,7,147,2,148,7,148,2,149,7,149,2,150,7,150,1,0,1,0,1,1,1,1, - 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, - 13,1,13,1,13,1,14,1,14,1,14,1,15,1,15,1,15,1,16,1,16,1,17,1,17,1,18,1, - 18,1,19,1,19,1,19,1,20,1,20,1,20,1,20,1,21,1,21,1,21,1,21,1,22,1,22,1, - 23,1,23,1,23,1,23,1,24,1,24,1,24,1,25,1,25,1,26,1,26,1,26,1,26,1,26,1, - 26,1,26,1,26,1,27,1,27,1,27,1,28,1,28,1,28,1,28,1,28,1,28,1,28,1,28,1, - 28,1,29,1,29,1,30,1,30,1,31,1,31,1,32,1,32,1,32,1,32,1,33,1,33,1,33,1, - 33,1,34,1,34,1,34,1,35,1,35,1,35,1,36,1,36,1,37,1,37,1,37,1,38,1,38,1, - 39,1,39,1,40,1,40,1,41,1,41,1,42,1,42,1,43,1,43,1,43,1,43,1,43,1,44,1, - 44,1,44,1,44,1,44,1,44,1,44,1,45,1,45,1,45,1,45,1,45,1,45,1,46,1,46,1, - 46,1,46,1,46,1,47,1,47,1,47,1,47,1,47,1,47,1,48,1,48,1,48,1,48,1,48,1, - 48,1,49,1,49,1,49,1,49,1,49,1,50,1,50,1,50,1,50,1,51,1,51,1,51,1,51,1, - 51,1,52,1,52,1,52,1,52,1,52,1,53,1,53,1,53,1,53,1,53,1,54,1,54,1,54,1, - 54,1,54,1,55,1,55,1,55,1,55,1,55,1,55,1,55,1,56,1,56,1,56,1,56,1,56,1, - 57,1,57,1,57,1,57,1,57,1,58,1,58,1,58,1,58,1,58,1,58,1,58,1,59,1,59,1, - 59,1,59,1,59,1,60,1,60,1,60,1,60,1,60,1,60,1,60,1,60,1,61,1,61,1,61,1, - 61,1,61,1,61,1,61,1,61,1,62,1,62,1,62,1,62,1,62,1,62,1,62,1,62,1,63,1, - 63,1,63,1,63,1,63,1,63,1,63,1,63,1,63,1,63,1,64,1,64,1,64,1,64,1,64,1, - 64,1,64,1,64,1,65,1,65,1,65,1,65,1,65,1,65,1,65,1,65,1,65,1,65,1,66,1, - 66,1,66,1,66,1,66,1,66,1,66,1,66,1,67,1,67,1,67,1,67,1,67,1,67,1,68,1, - 68,1,68,1,68,1,68,1,68,1,69,1,69,1,69,1,69,1,69,1,69,1,70,1,70,1,70,1, - 70,1,70,1,70,1,71,1,71,1,71,1,71,1,71,1,71,1,71,1,71,1,72,1,72,1,72,1, - 72,1,72,1,72,1,73,1,73,1,73,1,73,1,73,1,73,1,73,1,73,1,74,1,74,1,74,1, - 74,1,74,1,74,1,75,1,75,1,75,1,75,1,75,1,75,1,75,1,75,1,76,1,76,1,76,1, - 76,1,76,1,76,1,77,1,77,1,77,1,77,1,78,1,78,1,78,1,78,1,78,1,78,1,79,1, - 79,1,79,1,79,1,80,1,80,1,80,1,80,1,80,1,80,1,81,1,81,1,81,1,81,1,82,1, - 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, - 84,1,84,1,84,1,84,1,85,1,85,1,85,1,85,1,85,1,85,1,86,1,86,1,86,1,86,1, - 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, - 88,1,89,1,89,1,89,1,89,1,89,1,89,1,89,1,90,1,90,1,90,1,90,1,90,1,90,1, - 90,1,90,1,91,1,91,1,91,1,91,1,91,1,91,1,92,1,92,1,92,1,92,1,92,1,92,1, - 92,1,92,1,92,1,93,1,93,1,93,1,93,1,93,1,93,1,93,1,94,1,94,1,94,1,94,1, - 94,1,94,1,94,1,94,1,95,1,95,1,95,1,95,1,95,1,95,1,96,1,96,1,96,1,96,1, - 96,1,96,1,96,1,96,1,96,1,97,1,97,1,97,1,97,1,97,1,97,1,97,1,98,1,98,1, - 98,1,98,1,98,1,98,1,98,1,98,1,99,1,99,1,99,1,99,1,99,1,99,1,100,1,100, - 1,100,1,100,1,100,1,100,1,100,1,100,1,100,1,101,1,101,1,101,1,101,1,101, - 1,101,1,101,1,102,1,102,1,102,1,102,1,102,1,102,1,102,1,102,1,103,1,103, - 1,103,1,103,1,103,1,103,1,103,1,103,1,103,1,104,1,104,1,104,1,104,1,104, - 1,104,1,104,1,104,1,104,1,104,1,105,1,105,1,105,1,105,1,105,1,105,1,105, - 1,106,1,106,1,106,1,106,1,106,1,106,1,106,1,106,1,106,1,106,1,106,1,107, - 1,107,1,107,1,107,1,107,1,107,1,107,1,108,1,108,1,108,1,108,1,108,1,108, - 1,108,1,108,1,109,1,109,1,109,1,109,1,109,1,109,1,109,1,110,1,110,1,110, - 1,110,1,110,1,110,1,110,1,110,1,110,1,111,1,111,1,111,1,111,1,111,1,111, - 1,111,1,111,1,111,1,112,1,112,1,112,1,112,1,112,1,112,1,112,1,112,1,112, - 1,112,1,113,1,113,1,113,1,113,1,113,1,113,1,113,1,113,1,114,1,114,1,114, - 1,114,1,114,1,114,1,114,1,114,1,114,1,114,1,114,1,115,1,115,1,115,1,115, - 1,115,1,115,1,115,1,116,1,116,1,116,1,116,1,116,1,116,1,116,1,116,1,116, - 1,116,1,116,1,117,1,117,1,117,1,117,1,117,1,117,1,117,1,118,1,118,1,118, - 1,118,1,118,1,118,1,118,1,118,1,118,1,118,1,118,1,118,1,119,1,119,1,119, - 1,119,1,119,1,119,1,119,1,119,1,119,1,119,1,120,1,120,1,120,1,120,1,120, - 1,120,1,120,1,121,1,121,1,121,1,121,1,121,1,121,1,121,1,121,1,121,1,121, - 1,121,1,122,1,122,1,122,1,122,1,122,1,122,1,122,1,122,1,122,1,122,1,122, - 1,122,1,123,1,123,1,123,1,123,1,123,1,123,1,123,1,123,1,124,1,124,1,124, - 1,124,1,124,1,125,1,125,1,125,1,125,1,125,1,125,1,126,1,126,1,126,1,126, - 1,126,1,127,1,127,1,127,1,127,1,127,1,128,1,128,1,128,1,128,1,128,1,128, - 1,128,1,129,1,129,1,129,1,129,1,129,1,129,1,130,1,130,1,130,1,130,1,130, - 1,130,1,130,1,130,1,130,1,131,1,131,1,131,1,131,1,131,1,131,1,131,1,132, - 1,132,1,132,1,132,1,132,1,133,1,133,1,133,1,133,1,133,1,134,1,134,1,134, - 1,134,1,134,1,135,1,135,1,135,1,135,1,135,1,135,1,135,1,136,1,136,1,136, - 1,136,1,136,1,137,1,137,1,137,1,137,1,137,1,138,1,138,1,138,1,138,1,138, - 1,138,1,138,1,138,1,138,1,138,1,138,1,139,1,139,1,139,1,139,1,139,1,139, - 1,139,1,139,1,140,1,140,1,140,1,140,1,140,1,140,1,140,1,140,1,140,1,140, - 1,140,1,141,1,141,1,141,1,141,1,141,1,141,1,141,1,142,1,142,1,142,1,142, - 1,142,1,142,1,142,1,142,1,143,3,143,1159,8,143,1,143,4,143,1162,8,143, - 11,143,12,143,1163,1,143,1,143,1,144,1,144,3,144,1170,8,144,1,144,4,144, - 1173,8,144,11,144,12,144,1174,1,145,4,145,1178,8,145,11,145,12,145,1179, - 1,145,1,145,5,145,1184,8,145,10,145,12,145,1187,9,145,1,145,3,145,1190, - 8,145,1,145,3,145,1193,8,145,1,145,3,145,1196,8,145,1,145,4,145,1199,8, - 145,11,145,12,145,1200,1,145,3,145,1204,8,145,1,145,3,145,1207,8,145,1, - 145,3,145,1210,8,145,1,146,1,146,1,146,1,146,1,146,1,146,1,146,1,146,1, - 146,1,146,3,146,1222,8,146,1,147,1,147,1,147,1,147,1,147,1,147,1,147,1, - 147,1,147,1,147,1,147,1,147,1,147,1,147,1,147,1,147,1,147,1,147,3,147, - 1242,8,147,1,148,4,148,1245,8,148,11,148,12,148,1246,1,148,1,148,4,148, - 1251,8,148,11,148,12,148,1252,3,148,1255,8,148,1,149,1,149,1,149,1,149, - 5,149,1261,8,149,10,149,12,149,1264,9,149,1,149,3,149,1267,8,149,1,149, - 1,149,1,149,1,149,1,149,5,149,1274,8,149,10,149,12,149,1277,9,149,1,149, - 1,149,3,149,1281,8,149,1,149,1,149,1,150,4,150,1286,8,150,11,150,12,150, - 1287,1,150,1,150,1,1275,0,151,1,1,3,2,5,3,7,4,9,5,11,6,13,7,15,8,17,9, - 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, - 142,285,143,287,144,289,0,291,145,293,146,295,147,297,148,299,149,301, - 150,1,0,6,2,0,69,69,101,101,2,0,43,43,45,45,4,0,65,90,97,122,880,1279, - 7936,8191,5,0,48,57,65,90,97,122,880,1279,7936,8191,2,0,10,10,13,13,2, - 0,9,9,32,32,1318,0,1,1,0,0,0,0,3,1,0,0,0,0,5,1,0,0,0,0,7,1,0,0,0,0,9,1, - 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, - 0,0,0,0,291,1,0,0,0,0,293,1,0,0,0,0,295,1,0,0,0,0,297,1,0,0,0,0,299,1, - 0,0,0,0,301,1,0,0,0,1,303,1,0,0,0,3,305,1,0,0,0,5,307,1,0,0,0,7,309,1, - 0,0,0,9,311,1,0,0,0,11,313,1,0,0,0,13,315,1,0,0,0,15,319,1,0,0,0,17,329, - 1,0,0,0,19,332,1,0,0,0,21,338,1,0,0,0,23,341,1,0,0,0,25,353,1,0,0,0,27, - 355,1,0,0,0,29,358,1,0,0,0,31,361,1,0,0,0,33,364,1,0,0,0,35,366,1,0,0, - 0,37,368,1,0,0,0,39,370,1,0,0,0,41,373,1,0,0,0,43,377,1,0,0,0,45,381,1, - 0,0,0,47,383,1,0,0,0,49,387,1,0,0,0,51,390,1,0,0,0,53,392,1,0,0,0,55,400, - 1,0,0,0,57,403,1,0,0,0,59,412,1,0,0,0,61,414,1,0,0,0,63,416,1,0,0,0,65, - 418,1,0,0,0,67,422,1,0,0,0,69,426,1,0,0,0,71,429,1,0,0,0,73,432,1,0,0, - 0,75,434,1,0,0,0,77,437,1,0,0,0,79,439,1,0,0,0,81,441,1,0,0,0,83,443,1, - 0,0,0,85,445,1,0,0,0,87,447,1,0,0,0,89,452,1,0,0,0,91,459,1,0,0,0,93,465, - 1,0,0,0,95,470,1,0,0,0,97,476,1,0,0,0,99,482,1,0,0,0,101,487,1,0,0,0,103, - 491,1,0,0,0,105,496,1,0,0,0,107,501,1,0,0,0,109,506,1,0,0,0,111,511,1, - 0,0,0,113,518,1,0,0,0,115,523,1,0,0,0,117,528,1,0,0,0,119,535,1,0,0,0, - 121,540,1,0,0,0,123,548,1,0,0,0,125,556,1,0,0,0,127,564,1,0,0,0,129,574, - 1,0,0,0,131,582,1,0,0,0,133,592,1,0,0,0,135,600,1,0,0,0,137,606,1,0,0, - 0,139,612,1,0,0,0,141,618,1,0,0,0,143,624,1,0,0,0,145,632,1,0,0,0,147, - 638,1,0,0,0,149,646,1,0,0,0,151,652,1,0,0,0,153,660,1,0,0,0,155,666,1, - 0,0,0,157,670,1,0,0,0,159,676,1,0,0,0,161,680,1,0,0,0,163,686,1,0,0,0, - 165,690,1,0,0,0,167,698,1,0,0,0,169,704,1,0,0,0,171,709,1,0,0,0,173,715, - 1,0,0,0,175,720,1,0,0,0,177,728,1,0,0,0,179,734,1,0,0,0,181,741,1,0,0, - 0,183,749,1,0,0,0,185,755,1,0,0,0,187,764,1,0,0,0,189,771,1,0,0,0,191, - 779,1,0,0,0,193,785,1,0,0,0,195,794,1,0,0,0,197,801,1,0,0,0,199,809,1, - 0,0,0,201,815,1,0,0,0,203,824,1,0,0,0,205,831,1,0,0,0,207,839,1,0,0,0, - 209,848,1,0,0,0,211,858,1,0,0,0,213,865,1,0,0,0,215,876,1,0,0,0,217,883, - 1,0,0,0,219,891,1,0,0,0,221,898,1,0,0,0,223,907,1,0,0,0,225,916,1,0,0, - 0,227,926,1,0,0,0,229,934,1,0,0,0,231,945,1,0,0,0,233,952,1,0,0,0,235, - 963,1,0,0,0,237,970,1,0,0,0,239,982,1,0,0,0,241,992,1,0,0,0,243,999,1, - 0,0,0,245,1010,1,0,0,0,247,1022,1,0,0,0,249,1030,1,0,0,0,251,1035,1,0, - 0,0,253,1041,1,0,0,0,255,1046,1,0,0,0,257,1051,1,0,0,0,259,1058,1,0,0, - 0,261,1064,1,0,0,0,263,1073,1,0,0,0,265,1080,1,0,0,0,267,1085,1,0,0,0, - 269,1090,1,0,0,0,271,1095,1,0,0,0,273,1102,1,0,0,0,275,1107,1,0,0,0,277, - 1112,1,0,0,0,279,1123,1,0,0,0,281,1131,1,0,0,0,283,1142,1,0,0,0,285,1149, - 1,0,0,0,287,1161,1,0,0,0,289,1167,1,0,0,0,291,1209,1,0,0,0,293,1221,1, - 0,0,0,295,1241,1,0,0,0,297,1244,1,0,0,0,299,1280,1,0,0,0,301,1285,1,0, - 0,0,303,304,5,33,0,0,304,2,1,0,0,0,305,306,5,94,0,0,306,4,1,0,0,0,307, - 308,5,45,0,0,308,6,1,0,0,0,309,310,5,43,0,0,310,8,1,0,0,0,311,312,5,42, - 0,0,312,10,1,0,0,0,313,314,5,47,0,0,314,12,1,0,0,0,315,316,5,109,0,0,316, - 317,5,111,0,0,317,318,5,100,0,0,318,14,1,0,0,0,319,320,5,105,0,0,320,321, - 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375,376,5,116,0,0,376,42,1,0,0,0,377,378,5,97,0,0,378,379,5,110,0,0,379, - 380,5,100,0,0,380,44,1,0,0,0,381,382,5,38,0,0,382,46,1,0,0,0,383,384,5, - 120,0,0,384,385,5,111,0,0,385,386,5,114,0,0,386,48,1,0,0,0,387,388,5,111, - 0,0,388,389,5,114,0,0,389,50,1,0,0,0,390,391,5,124,0,0,391,52,1,0,0,0, - 392,393,5,105,0,0,393,394,5,109,0,0,394,395,5,112,0,0,395,396,5,108,0, - 0,396,397,5,105,0,0,397,398,5,101,0,0,398,399,5,115,0,0,399,54,1,0,0,0, - 400,401,5,45,0,0,401,402,5,62,0,0,402,56,1,0,0,0,403,404,5,112,0,0,404, - 405,5,114,0,0,405,406,5,111,0,0,406,407,5,118,0,0,407,408,5,105,0,0,408, - 409,5,100,0,0,409,410,5,101,0,0,410,411,5,100,0,0,411,58,1,0,0,0,412,413, - 5,44,0,0,413,60,1,0,0,0,414,415,5,59,0,0,415,62,1,0,0,0,416,417,5,58,0, - 0,417,64,1,0,0,0,418,419,5,43,0,0,419,420,5,111,0,0,420,421,5,111,0,0, - 421,66,1,0,0,0,422,423,5,45,0,0,423,424,5,111,0,0,424,425,5,111,0,0,425, - 68,1,0,0,0,426,427,5,40,0,0,427,428,5,124,0,0,428,70,1,0,0,0,429,430,5, - 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858,859,5,97,0,0,859,860,5,114,0,0,860,861,5,99,0,0,861,862,5,116,0,0, - 862,863,5,104,0,0,863,864,5,40,0,0,864,212,1,0,0,0,865,866,5,97,0,0,866, - 867,5,114,0,0,867,868,5,99,0,0,868,869,5,99,0,0,869,870,5,111,0,0,870, - 871,5,116,0,0,871,872,5,97,0,0,872,873,5,110,0,0,873,874,5,104,0,0,874, - 875,5,40,0,0,875,214,1,0,0,0,876,877,5,97,0,0,877,878,5,115,0,0,878,879, - 5,101,0,0,879,880,5,99,0,0,880,881,5,104,0,0,881,882,5,40,0,0,882,216, - 1,0,0,0,883,884,5,97,0,0,884,885,5,114,0,0,885,886,5,115,0,0,886,887,5, - 101,0,0,887,888,5,99,0,0,888,889,5,104,0,0,889,890,5,40,0,0,890,218,1, - 0,0,0,891,892,5,97,0,0,892,893,5,114,0,0,893,894,5,115,0,0,894,895,5,99, - 0,0,895,896,5,104,0,0,896,897,5,40,0,0,897,220,1,0,0,0,898,899,5,97,0, - 0,899,900,5,114,0,0,900,901,5,99,0,0,901,902,5,115,0,0,902,903,5,101,0, - 0,903,904,5,99,0,0,904,905,5,104,0,0,905,906,5,40,0,0,906,222,1,0,0,0, - 907,908,5,97,0,0,908,909,5,99,0,0,909,910,5,111,0,0,910,911,5,115,0,0, - 911,912,5,101,0,0,912,913,5,99,0,0,913,914,5,104,0,0,914,915,5,40,0,0, - 915,224,1,0,0,0,916,917,5,97,0,0,917,918,5,114,0,0,918,919,5,99,0,0,919, - 920,5,111,0,0,920,921,5,115,0,0,921,922,5,101,0,0,922,923,5,99,0,0,923, - 924,5,104,0,0,924,925,5,40,0,0,925,226,1,0,0,0,926,927,5,97,0,0,927,928, - 5,114,0,0,928,929,5,99,0,0,929,930,5,115,0,0,930,931,5,99,0,0,931,932, - 5,104,0,0,932,933,5,40,0,0,933,228,1,0,0,0,934,935,5,97,0,0,935,936,5, - 114,0,0,936,937,5,99,0,0,937,938,5,99,0,0,938,939,5,111,0,0,939,940,5, - 115,0,0,940,941,5,101,0,0,941,942,5,99,0,0,942,943,5,104,0,0,943,944,5, - 40,0,0,944,230,1,0,0,0,945,946,5,97,0,0,946,947,5,99,0,0,947,948,5,115, - 0,0,948,949,5,99,0,0,949,950,5,104,0,0,950,951,5,40,0,0,951,232,1,0,0, - 0,952,953,5,102,0,0,953,954,5,97,0,0,954,955,5,99,0,0,955,956,5,116,0, - 0,956,957,5,111,0,0,957,958,5,114,0,0,958,959,5,105,0,0,959,960,5,97,0, - 0,960,961,5,108,0,0,961,962,5,40,0,0,962,234,1,0,0,0,963,964,5,103,0,0, - 964,965,5,97,0,0,965,966,5,109,0,0,966,967,5,109,0,0,967,968,5,97,0,0, - 968,969,5,40,0,0,969,236,1,0,0,0,970,971,5,100,0,0,971,972,5,101,0,0,972, - 973,5,114,0,0,973,974,5,105,0,0,974,975,5,118,0,0,975,976,5,97,0,0,976, - 977,5,116,0,0,977,978,5,105,0,0,978,979,5,118,0,0,979,980,5,101,0,0,980, - 981,5,40,0,0,981,238,1,0,0,0,982,983,5,105,0,0,983,984,5,110,0,0,984,985, - 5,116,0,0,985,986,5,101,0,0,986,987,5,103,0,0,987,988,5,114,0,0,988,989, - 5,97,0,0,989,990,5,108,0,0,990,991,5,40,0,0,991,240,1,0,0,0,992,993,5, - 108,0,0,993,994,5,105,0,0,994,995,5,109,0,0,995,996,5,105,0,0,996,997, - 5,116,0,0,997,998,5,40,0,0,998,242,1,0,0,0,999,1000,5,108,0,0,1000,1001, - 5,105,0,0,1001,1002,5,109,0,0,1002,1003,5,105,0,0,1003,1004,5,116,0,0, - 1004,1005,5,108,0,0,1005,1006,5,101,0,0,1006,1007,5,102,0,0,1007,1008, - 5,116,0,0,1008,1009,5,40,0,0,1009,244,1,0,0,0,1010,1011,5,108,0,0,1011, - 1012,5,105,0,0,1012,1013,5,109,0,0,1013,1014,5,105,0,0,1014,1015,5,116, - 0,0,1015,1016,5,114,0,0,1016,1017,5,105,0,0,1017,1018,5,103,0,0,1018,1019, - 5,104,0,0,1019,1020,5,116,0,0,1020,1021,5,40,0,0,1021,246,1,0,0,0,1022, - 1023,5,115,0,0,1023,1024,5,105,0,0,1024,1025,5,103,0,0,1025,1026,5,110, - 0,0,1026,1027,5,117,0,0,1027,1028,5,109,0,0,1028,1029,5,40,0,0,1029,248, - 1,0,0,0,1030,1031,5,115,0,0,1031,1032,5,103,0,0,1032,1033,5,110,0,0,1033, - 1034,5,40,0,0,1034,250,1,0,0,0,1035,1036,5,115,0,0,1036,1037,5,105,0,0, - 1037,1038,5,103,0,0,1038,1039,5,110,0,0,1039,1040,5,40,0,0,1040,252,1, - 0,0,0,1041,1042,5,97,0,0,1042,1043,5,98,0,0,1043,1044,5,115,0,0,1044,1045, - 5,40,0,0,1045,254,1,0,0,0,1046,1047,5,112,0,0,1047,1048,5,104,0,0,1048, - 1049,5,105,0,0,1049,1050,5,40,0,0,1050,256,1,0,0,0,1051,1052,5,102,0,0, - 1052,1053,5,108,0,0,1053,1054,5,111,0,0,1054,1055,5,111,0,0,1055,1056, - 5,114,0,0,1056,1057,5,40,0,0,1057,258,1,0,0,0,1058,1059,5,99,0,0,1059, - 1060,5,101,0,0,1060,1061,5,105,0,0,1061,1062,5,108,0,0,1062,1063,5,40, - 0,0,1063,260,1,0,0,0,1064,1065,5,99,0,0,1065,1066,5,101,0,0,1066,1067, - 5,105,0,0,1067,1068,5,108,0,0,1068,1069,5,105,0,0,1069,1070,5,110,0,0, - 1070,1071,5,103,0,0,1071,1072,5,40,0,0,1072,262,1,0,0,0,1073,1074,5,114, - 0,0,1074,1075,5,111,0,0,1075,1076,5,117,0,0,1076,1077,5,110,0,0,1077,1078, - 5,100,0,0,1078,1079,5,40,0,0,1079,264,1,0,0,0,1080,1081,5,109,0,0,1081, - 1082,5,105,0,0,1082,1083,5,110,0,0,1083,1084,5,40,0,0,1084,266,1,0,0,0, - 1085,1086,5,109,0,0,1086,1087,5,97,0,0,1087,1088,5,120,0,0,1088,1089,5, - 40,0,0,1089,268,1,0,0,0,1090,1091,5,103,0,0,1091,1092,5,99,0,0,1092,1093, - 5,100,0,0,1093,1094,5,40,0,0,1094,270,1,0,0,0,1095,1096,5,116,0,0,1096, - 1097,5,114,0,0,1097,1098,5,117,0,0,1098,1099,5,110,0,0,1099,1100,5,99, - 0,0,1100,1101,5,40,0,0,1101,272,1,0,0,0,1102,1103,5,108,0,0,1103,1104, - 5,99,0,0,1104,1105,5,109,0,0,1105,1106,5,40,0,0,1106,274,1,0,0,0,1107, - 1108,5,101,0,0,1108,1109,5,114,0,0,1109,1110,5,102,0,0,1110,1111,5,40, - 0,0,1111,276,1,0,0,0,1112,1113,5,99,0,0,1113,1114,5,111,0,0,1114,1115, - 5,110,0,0,1115,1116,5,106,0,0,1116,1117,5,117,0,0,1117,1118,5,103,0,0, - 1118,1119,5,97,0,0,1119,1120,5,116,0,0,1120,1121,5,101,0,0,1121,1122,5, - 40,0,0,1122,278,1,0,0,0,1123,1124,5,100,0,0,1124,1125,5,111,0,0,1125,1126, - 5,109,0,0,1126,1127,5,97,0,0,1127,1128,5,105,0,0,1128,1129,5,110,0,0,1129, - 1130,5,40,0,0,1130,280,1,0,0,0,1131,1132,5,112,0,0,1132,1133,5,105,0,0, - 1133,1134,5,101,0,0,1134,1135,5,99,0,0,1135,1136,5,101,0,0,1136,1137,5, - 119,0,0,1137,1138,5,105,0,0,1138,1139,5,115,0,0,1139,1140,5,101,0,0,1140, - 1141,5,40,0,0,1141,282,1,0,0,0,1142,1143,5,97,0,0,1143,1144,5,112,0,0, - 1144,1145,5,112,0,0,1145,1146,5,108,0,0,1146,1147,5,121,0,0,1147,1148, - 5,40,0,0,1148,284,1,0,0,0,1149,1150,5,108,0,0,1150,1151,5,97,0,0,1151, - 1152,5,109,0,0,1152,1153,5,98,0,0,1153,1154,5,100,0,0,1154,1155,5,97,0, - 0,1155,1156,5,40,0,0,1156,286,1,0,0,0,1157,1159,5,13,0,0,1158,1157,1,0, - 0,0,1158,1159,1,0,0,0,1159,1160,1,0,0,0,1160,1162,5,10,0,0,1161,1158,1, - 0,0,0,1162,1163,1,0,0,0,1163,1161,1,0,0,0,1163,1164,1,0,0,0,1164,1165, - 1,0,0,0,1165,1166,6,143,0,0,1166,288,1,0,0,0,1167,1169,7,0,0,0,1168,1170, - 7,1,0,0,1169,1168,1,0,0,0,1169,1170,1,0,0,0,1170,1172,1,0,0,0,1171,1173, - 2,48,57,0,1172,1171,1,0,0,0,1173,1174,1,0,0,0,1174,1172,1,0,0,0,1174,1175, - 1,0,0,0,1175,290,1,0,0,0,1176,1178,2,48,57,0,1177,1176,1,0,0,0,1178,1179, - 1,0,0,0,1179,1177,1,0,0,0,1179,1180,1,0,0,0,1180,1181,1,0,0,0,1181,1185, - 5,46,0,0,1182,1184,2,48,57,0,1183,1182,1,0,0,0,1184,1187,1,0,0,0,1185, - 1183,1,0,0,0,1185,1186,1,0,0,0,1186,1189,1,0,0,0,1187,1185,1,0,0,0,1188, - 1190,3,289,144,0,1189,1188,1,0,0,0,1189,1190,1,0,0,0,1190,1192,1,0,0,0, - 1191,1193,5,105,0,0,1192,1191,1,0,0,0,1192,1193,1,0,0,0,1193,1210,1,0, - 0,0,1194,1196,5,46,0,0,1195,1194,1,0,0,0,1195,1196,1,0,0,0,1196,1198,1, - 0,0,0,1197,1199,2,48,57,0,1198,1197,1,0,0,0,1199,1200,1,0,0,0,1200,1198, - 1,0,0,0,1200,1201,1,0,0,0,1201,1203,1,0,0,0,1202,1204,3,289,144,0,1203, - 1202,1,0,0,0,1203,1204,1,0,0,0,1204,1206,1,0,0,0,1205,1207,5,105,0,0,1206, - 1205,1,0,0,0,1206,1207,1,0,0,0,1207,1210,1,0,0,0,1208,1210,5,105,0,0,1209, - 1177,1,0,0,0,1209,1195,1,0,0,0,1209,1208,1,0,0,0,1210,292,1,0,0,0,1211, - 1212,5,67,0,0,1212,1222,5,67,0,0,1213,1214,5,82,0,0,1214,1222,5,82,0,0, - 1215,1216,5,81,0,0,1216,1222,5,81,0,0,1217,1218,5,90,0,0,1218,1222,5,90, - 0,0,1219,1220,5,66,0,0,1220,1222,5,66,0,0,1221,1211,1,0,0,0,1221,1213, - 1,0,0,0,1221,1215,1,0,0,0,1221,1217,1,0,0,0,1221,1219,1,0,0,0,1222,294, - 1,0,0,0,1223,1224,5,116,0,0,1224,1225,5,114,0,0,1225,1226,5,117,0,0,1226, - 1242,5,101,0,0,1227,1228,5,84,0,0,1228,1229,5,114,0,0,1229,1230,5,117, - 0,0,1230,1242,5,101,0,0,1231,1232,5,102,0,0,1232,1233,5,97,0,0,1233,1234, - 5,108,0,0,1234,1235,5,115,0,0,1235,1242,5,101,0,0,1236,1237,5,70,0,0,1237, - 1238,5,97,0,0,1238,1239,5,108,0,0,1239,1240,5,115,0,0,1240,1242,5,101, - 0,0,1241,1223,1,0,0,0,1241,1227,1,0,0,0,1241,1231,1,0,0,0,1241,1236,1, - 0,0,0,1242,296,1,0,0,0,1243,1245,7,2,0,0,1244,1243,1,0,0,0,1245,1246,1, - 0,0,0,1246,1244,1,0,0,0,1246,1247,1,0,0,0,1247,1254,1,0,0,0,1248,1250, - 5,95,0,0,1249,1251,7,3,0,0,1250,1249,1,0,0,0,1251,1252,1,0,0,0,1252,1250, - 1,0,0,0,1252,1253,1,0,0,0,1253,1255,1,0,0,0,1254,1248,1,0,0,0,1254,1255, - 1,0,0,0,1255,298,1,0,0,0,1256,1257,5,47,0,0,1257,1258,5,47,0,0,1258,1262, - 1,0,0,0,1259,1261,8,4,0,0,1260,1259,1,0,0,0,1261,1264,1,0,0,0,1262,1260, - 1,0,0,0,1262,1263,1,0,0,0,1263,1266,1,0,0,0,1264,1262,1,0,0,0,1265,1267, - 5,13,0,0,1266,1265,1,0,0,0,1266,1267,1,0,0,0,1267,1268,1,0,0,0,1268,1281, - 5,10,0,0,1269,1270,5,47,0,0,1270,1271,5,42,0,0,1271,1275,1,0,0,0,1272, - 1274,9,0,0,0,1273,1272,1,0,0,0,1274,1277,1,0,0,0,1275,1276,1,0,0,0,1275, - 1273,1,0,0,0,1276,1278,1,0,0,0,1277,1275,1,0,0,0,1278,1279,5,42,0,0,1279, - 1281,5,47,0,0,1280,1256,1,0,0,0,1280,1269,1,0,0,0,1281,1282,1,0,0,0,1282, - 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1,33,1,33,1,33,1,34,1,34,1,34,1,35,1,35,1,35,1,36,1,36,1,37,1,37,1,37, + 1,38,1,38,1,39,1,39,1,40,1,40,1,41,1,41,1,42,1,42,1,43,1,43,1,43,1,43, + 1,43,1,44,1,44,1,44,1,44,1,44,1,44,1,44,1,45,1,45,1,45,1,45,1,45,1,45, + 1,46,1,46,1,46,1,46,1,46,1,47,1,47,1,47,1,47,1,47,1,47,1,48,1,48,1,48, + 1,48,1,48,1,48,1,49,1,49,1,49,1,49,1,49,1,50,1,50,1,50,1,50,1,51,1,51, + 1,51,1,51,1,51,1,52,1,52,1,52,1,52,1,52,1,53,1,53,1,53,1,53,1,53,1,54, + 1,54,1,54,1,54,1,54,1,55,1,55,1,55,1,55,1,55,1,55,1,55,1,56,1,56,1,56, + 1,56,1,56,1,57,1,57,1,57,1,57,1,57,1,58,1,58,1,58,1,58,1,58,1,58,1,58, + 1,59,1,59,1,59,1,59,1,59,1,60,1,60,1,60,1,60,1,60,1,60,1,60,1,60,1,61, + 1,61,1,61,1,61,1,61,1,61,1,61,1,61,1,62,1,62,1,62,1,62,1,62,1,62,1,62, + 1,62,1,63,1,63,1,63,1,63,1,63,1,63,1,63,1,63,1,63,1,63,1,64,1,64,1,64, + 1,64,1,64,1,64,1,64,1,64,1,65,1,65,1,65,1,65,1,65,1,65,1,65,1,65,1,65, + 1,65,1,66,1,66,1,66,1,66,1,66,1,66,1,66,1,66,1,67,1,67,1,67,1,67,1,67, + 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0,0,0,1164,1165,1,0,0,0,1165,1163,1,0,0,0,1165,1166,1,0,0,0,1166,1167, + 1,0,0,0,1167,1168,6,143,0,0,1168,288,1,0,0,0,1169,1171,7,0,0,0,1170,1172, + 7,1,0,0,1171,1170,1,0,0,0,1171,1172,1,0,0,0,1172,1174,1,0,0,0,1173,1175, + 2,48,57,0,1174,1173,1,0,0,0,1175,1176,1,0,0,0,1176,1174,1,0,0,0,1176,1177, + 1,0,0,0,1177,290,1,0,0,0,1178,1180,2,48,57,0,1179,1178,1,0,0,0,1180,1181, + 1,0,0,0,1181,1179,1,0,0,0,1181,1182,1,0,0,0,1182,1183,1,0,0,0,1183,1187, + 5,46,0,0,1184,1186,2,48,57,0,1185,1184,1,0,0,0,1186,1189,1,0,0,0,1187, + 1185,1,0,0,0,1187,1188,1,0,0,0,1188,1191,1,0,0,0,1189,1187,1,0,0,0,1190, + 1192,3,289,144,0,1191,1190,1,0,0,0,1191,1192,1,0,0,0,1192,1194,1,0,0,0, + 1193,1195,5,105,0,0,1194,1193,1,0,0,0,1194,1195,1,0,0,0,1195,1212,1,0, + 0,0,1196,1198,5,46,0,0,1197,1196,1,0,0,0,1197,1198,1,0,0,0,1198,1200,1, + 0,0,0,1199,1201,2,48,57,0,1200,1199,1,0,0,0,1201,1202,1,0,0,0,1202,1200, + 1,0,0,0,1202,1203,1,0,0,0,1203,1205,1,0,0,0,1204,1206,3,289,144,0,1205, + 1204,1,0,0,0,1205,1206,1,0,0,0,1206,1208,1,0,0,0,1207,1209,5,105,0,0,1208, + 1207,1,0,0,0,1208,1209,1,0,0,0,1209,1212,1,0,0,0,1210,1212,5,105,0,0,1211, + 1179,1,0,0,0,1211,1197,1,0,0,0,1211,1210,1,0,0,0,1212,292,1,0,0,0,1213, + 1214,5,67,0,0,1214,1224,5,67,0,0,1215,1216,5,82,0,0,1216,1224,5,82,0,0, + 1217,1218,5,81,0,0,1218,1224,5,81,0,0,1219,1220,5,90,0,0,1220,1224,5,90, + 0,0,1221,1222,5,66,0,0,1222,1224,5,66,0,0,1223,1213,1,0,0,0,1223,1215, + 1,0,0,0,1223,1217,1,0,0,0,1223,1219,1,0,0,0,1223,1221,1,0,0,0,1224,294, + 1,0,0,0,1225,1226,5,116,0,0,1226,1227,5,114,0,0,1227,1228,5,117,0,0,1228, + 1244,5,101,0,0,1229,1230,5,84,0,0,1230,1231,5,114,0,0,1231,1232,5,117, + 0,0,1232,1244,5,101,0,0,1233,1234,5,102,0,0,1234,1235,5,97,0,0,1235,1236, + 5,108,0,0,1236,1237,5,115,0,0,1237,1244,5,101,0,0,1238,1239,5,70,0,0,1239, + 1240,5,97,0,0,1240,1241,5,108,0,0,1241,1242,5,115,0,0,1242,1244,5,101, + 0,0,1243,1225,1,0,0,0,1243,1229,1,0,0,0,1243,1233,1,0,0,0,1243,1238,1, + 0,0,0,1244,296,1,0,0,0,1245,1246,5,78,0,0,1246,1247,5,97,0,0,1247,1248, + 5,78,0,0,1248,298,1,0,0,0,1249,1251,7,2,0,0,1250,1249,1,0,0,0,1251,1252, + 1,0,0,0,1252,1250,1,0,0,0,1252,1253,1,0,0,0,1253,1260,1,0,0,0,1254,1256, + 5,95,0,0,1255,1257,7,3,0,0,1256,1255,1,0,0,0,1257,1258,1,0,0,0,1258,1256, + 1,0,0,0,1258,1259,1,0,0,0,1259,1261,1,0,0,0,1260,1254,1,0,0,0,1260,1261, + 1,0,0,0,1261,300,1,0,0,0,1262,1263,5,47,0,0,1263,1264,5,47,0,0,1264,1268, + 1,0,0,0,1265,1267,8,4,0,0,1266,1265,1,0,0,0,1267,1270,1,0,0,0,1268,1266, + 1,0,0,0,1268,1269,1,0,0,0,1269,1272,1,0,0,0,1270,1268,1,0,0,0,1271,1273, + 5,13,0,0,1272,1271,1,0,0,0,1272,1273,1,0,0,0,1273,1274,1,0,0,0,1274,1287, + 5,10,0,0,1275,1276,5,47,0,0,1276,1277,5,42,0,0,1277,1281,1,0,0,0,1278, + 1280,9,0,0,0,1279,1278,1,0,0,0,1280,1283,1,0,0,0,1281,1282,1,0,0,0,1281, + 1279,1,0,0,0,1282,1284,1,0,0,0,1283,1281,1,0,0,0,1284,1285,5,42,0,0,1285, + 1287,5,47,0,0,1286,1262,1,0,0,0,1286,1275,1,0,0,0,1287,1288,1,0,0,0,1288, + 1289,6,150,0,0,1289,302,1,0,0,0,1290,1292,7,5,0,0,1291,1290,1,0,0,0,1292, + 1293,1,0,0,0,1293,1291,1,0,0,0,1293,1294,1,0,0,0,1294,1295,1,0,0,0,1295, + 1296,6,151,0,0,1296,304,1,0,0,0,24,0,1160,1165,1171,1176,1181,1187,1191, + 1194,1197,1202,1205,1208,1211,1223,1243,1252,1258,1260,1268,1272,1281, + 1286,1293,1,6,0,0 }; public static readonly ATN _ATN = diff --git a/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.interp b/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.interp index 5e12aa599..fbc9c7b33 100644 --- a/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.interp +++ b/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.interp @@ -147,6 +147,7 @@ null null null null +'NaN' null null null @@ -300,6 +301,7 @@ NEWLINE NUMBER SPECIALSET BOOLEAN +NAN VARIABLE COMMENT WS @@ -453,6 +455,7 @@ EXPONENT NUMBER SPECIALSET BOOLEAN +NAN VARIABLE COMMENT WS @@ -465,4 +468,4 @@ mode names: DEFAULT_MODE atn: -[4, 0, 150, 1291, 6, -1, 2, 0, 7, 0, 2, 1, 7, 1, 2, 2, 7, 2, 2, 3, 7, 3, 2, 4, 7, 4, 2, 5, 7, 5, 2, 6, 7, 6, 2, 7, 7, 7, 2, 8, 7, 8, 2, 9, 7, 9, 2, 10, 7, 10, 2, 11, 7, 11, 2, 12, 7, 12, 2, 13, 7, 13, 2, 14, 7, 14, 2, 15, 7, 15, 2, 16, 7, 16, 2, 17, 7, 17, 2, 18, 7, 18, 2, 19, 7, 19, 2, 20, 7, 20, 2, 21, 7, 21, 2, 22, 7, 22, 2, 23, 7, 23, 2, 24, 7, 24, 2, 25, 7, 25, 2, 26, 7, 26, 2, 27, 7, 27, 2, 28, 7, 28, 2, 29, 7, 29, 2, 30, 7, 30, 2, 31, 7, 31, 2, 32, 7, 32, 2, 33, 7, 33, 2, 34, 7, 34, 2, 35, 7, 35, 2, 36, 7, 36, 2, 37, 7, 37, 2, 38, 7, 38, 2, 39, 7, 39, 2, 40, 7, 40, 2, 41, 7, 41, 2, 42, 7, 42, 2, 43, 7, 43, 2, 44, 7, 44, 2, 45, 7, 45, 2, 46, 7, 46, 2, 47, 7, 47, 2, 48, 7, 48, 2, 49, 7, 49, 2, 50, 7, 50, 2, 51, 7, 51, 2, 52, 7, 52, 2, 53, 7, 53, 2, 54, 7, 54, 2, 55, 7, 55, 2, 56, 7, 56, 2, 57, 7, 57, 2, 58, 7, 58, 2, 59, 7, 59, 2, 60, 7, 60, 2, 61, 7, 61, 2, 62, 7, 62, 2, 63, 7, 63, 2, 64, 7, 64, 2, 65, 7, 65, 2, 66, 7, 66, 2, 67, 7, 67, 2, 68, 7, 68, 2, 69, 7, 69, 2, 70, 7, 70, 2, 71, 7, 71, 2, 72, 7, 72, 2, 73, 7, 73, 2, 74, 7, 74, 2, 75, 7, 75, 2, 76, 7, 76, 2, 77, 7, 77, 2, 78, 7, 78, 2, 79, 7, 79, 2, 80, 7, 80, 2, 81, 7, 81, 2, 82, 7, 82, 2, 83, 7, 83, 2, 84, 7, 84, 2, 85, 7, 85, 2, 86, 7, 86, 2, 87, 7, 87, 2, 88, 7, 88, 2, 89, 7, 89, 2, 90, 7, 90, 2, 91, 7, 91, 2, 92, 7, 92, 2, 93, 7, 93, 2, 94, 7, 94, 2, 95, 7, 95, 2, 96, 7, 96, 2, 97, 7, 97, 2, 98, 7, 98, 2, 99, 7, 99, 2, 100, 7, 100, 2, 101, 7, 101, 2, 102, 7, 102, 2, 103, 7, 103, 2, 104, 7, 104, 2, 105, 7, 105, 2, 106, 7, 106, 2, 107, 7, 107, 2, 108, 7, 108, 2, 109, 7, 109, 2, 110, 7, 110, 2, 111, 7, 111, 2, 112, 7, 112, 2, 113, 7, 113, 2, 114, 7, 114, 2, 115, 7, 115, 2, 116, 7, 116, 2, 117, 7, 117, 2, 118, 7, 118, 2, 119, 7, 119, 2, 120, 7, 120, 2, 121, 7, 121, 2, 122, 7, 122, 2, 123, 7, 123, 2, 124, 7, 124, 2, 125, 7, 125, 2, 126, 7, 126, 2, 127, 7, 127, 2, 128, 7, 128, 2, 129, 7, 129, 2, 130, 7, 130, 2, 131, 7, 131, 2, 132, 7, 132, 2, 133, 7, 133, 2, 134, 7, 134, 2, 135, 7, 135, 2, 136, 7, 136, 2, 137, 7, 137, 2, 138, 7, 138, 2, 139, 7, 139, 2, 140, 7, 140, 2, 141, 7, 141, 2, 142, 7, 142, 2, 143, 7, 143, 2, 144, 7, 144, 2, 145, 7, 145, 2, 146, 7, 146, 2, 147, 7, 147, 2, 148, 7, 148, 2, 149, 7, 149, 2, 150, 7, 150, 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, 15, 1, 15, 1, 15, 1, 16, 1, 16, 1, 17, 1, 17, 1, 18, 1, 18, 1, 19, 1, 19, 1, 19, 1, 20, 1, 20, 1, 20, 1, 20, 1, 21, 1, 21, 1, 21, 1, 21, 1, 22, 1, 22, 1, 23, 1, 23, 1, 23, 1, 23, 1, 24, 1, 24, 1, 24, 1, 25, 1, 25, 1, 26, 1, 26, 1, 26, 1, 26, 1, 26, 1, 26, 1, 26, 1, 26, 1, 27, 1, 27, 1, 27, 1, 28, 1, 28, 1, 28, 1, 28, 1, 28, 1, 28, 1, 28, 1, 28, 1, 28, 1, 29, 1, 29, 1, 30, 1, 30, 1, 31, 1, 31, 1, 32, 1, 32, 1, 32, 1, 32, 1, 33, 1, 33, 1, 33, 1, 33, 1, 34, 1, 34, 1, 34, 1, 35, 1, 35, 1, 35, 1, 36, 1, 36, 1, 37, 1, 37, 1, 37, 1, 38, 1, 38, 1, 39, 1, 39, 1, 40, 1, 40, 1, 41, 1, 41, 1, 42, 1, 42, 1, 43, 1, 43, 1, 43, 1, 43, 1, 43, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 45, 1, 45, 1, 45, 1, 45, 1, 45, 1, 45, 1, 46, 1, 46, 1, 46, 1, 46, 1, 46, 1, 47, 1, 47, 1, 47, 1, 47, 1, 47, 1, 47, 1, 48, 1, 48, 1, 48, 1, 48, 1, 48, 1, 48, 1, 49, 1, 49, 1, 49, 1, 49, 1, 49, 1, 50, 1, 50, 1, 50, 1, 50, 1, 51, 1, 51, 1, 51, 1, 51, 1, 51, 1, 52, 1, 52, 1, 52, 1, 52, 1, 52, 1, 53, 1, 53, 1, 53, 1, 53, 1, 53, 1, 54, 1, 54, 1, 54, 1, 54, 1, 54, 1, 55, 1, 55, 1, 55, 1, 55, 1, 55, 1, 55, 1, 55, 1, 56, 1, 56, 1, 56, 1, 56, 1, 56, 1, 57, 1, 57, 1, 57, 1, 57, 1, 57, 1, 58, 1, 58, 1, 58, 1, 58, 1, 58, 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, 60, 1, 61, 1, 61, 1, 61, 1, 61, 1, 61, 1, 61, 1, 61, 1, 61, 1, 62, 1, 62, 1, 62, 1, 62, 1, 62, 1, 62, 1, 62, 1, 62, 1, 63, 1, 63, 1, 63, 1, 63, 1, 63, 1, 63, 1, 63, 1, 63, 1, 63, 1, 63, 1, 64, 1, 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end of file diff --git a/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.tokens b/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.tokens index 3ef57341c..12376d905 100644 --- a/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.tokens +++ b/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.tokens @@ -145,9 +145,10 @@ NEWLINE=144 NUMBER=145 SPECIALSET=146 BOOLEAN=147 -VARIABLE=148 -COMMENT=149 -WS=150 +NAN=148 +VARIABLE=149 +COMMENT=150 +WS=151 '!'=1 '^'=2 '-'=3 @@ -291,3 +292,4 @@ WS=150 'piecewise('=141 'apply('=142 'lambda('=143 +'NaN'=148 diff --git a/Sources/AngouriMath/Core/Antlr/AngouriMathParser.cs b/Sources/AngouriMath/Core/Antlr/AngouriMathParser.cs index c971fba09..122811e92 100644 --- a/Sources/AngouriMath/Core/Antlr/AngouriMathParser.cs +++ b/Sources/AngouriMath/Core/Antlr/AngouriMathParser.cs @@ -67,8 +67,8 @@ public const int T__125=126, T__126=127, T__127=128, T__128=129, T__129=130, T__130=131, T__131=132, T__132=133, T__133=134, T__134=135, T__135=136, T__136=137, T__137=138, T__138=139, T__139=140, T__140=141, T__141=142, T__142=143, - NEWLINE=144, NUMBER=145, SPECIALSET=146, BOOLEAN=147, VARIABLE=148, COMMENT=149, - WS=150; + NEWLINE=144, NUMBER=145, SPECIALSET=146, BOOLEAN=147, NAN=148, VARIABLE=149, + COMMENT=150, WS=151; 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, @@ -108,7 +108,8 @@ public const int "'integral('", "'limit('", "'limitleft('", "'limitright('", "'signum('", "'sgn('", "'sign('", "'abs('", "'phi('", "'floor('", "'ceil('", "'ceiling('", "'round('", "'min('", "'max('", "'gcd('", "'trunc('", "'lcm('", "'erf('", - "'conjugate('", "'domain('", "'piecewise('", "'apply('", "'lambda('" + "'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, @@ -123,7 +124,8 @@ 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", "VARIABLE", "COMMENT", "WS" + "NEWLINE", "NUMBER", "SPECIALSET", "BOOLEAN", "NAN", "VARIABLE", "COMMENT", + "WS" }; public static readonly IVocabulary DefaultVocabulary = new Vocabulary(_LiteralNames, _SymbolicNames); @@ -1647,7 +1649,7 @@ public Function_argumentsContext function_arguments() { State = 303; ErrorHandler.Sync(this); _la = TokenStream.LA(1); - if ((((_la) & ~0x3f) == 0 && ((1L << _la) & -11897057312744L) != 0) || ((((_la - 64)) & ~0x3f) == 0 && ((1L << (_la - 64)) & -1L) != 0) || ((((_la - 128)) & ~0x3f) == 0 && ((1L << (_la - 128)) & 2031615L) != 0)) { + if ((((_la) & ~0x3f) == 0 && ((1L << _la) & -11897057312744L) != 0) || ((((_la - 64)) & ~0x3f) == 0 && ((1L << (_la - 64)) & -1L) != 0) || ((((_la - 128)) & ~0x3f) == 0 && ((1L << (_la - 128)) & 4128767L) != 0)) { { State = 292; _localctx.e = expression(); @@ -1806,6 +1808,7 @@ internal partial class AtomContext : ParserRuleContext { public Interval_argumentsContext _interval_arguments; public Cset_argumentsContext cset_args; 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); } [System.Diagnostics.DebuggerNonUserCode] public ITerminalNode BOOLEAN() { return GetToken(AngouriMathParser.BOOLEAN, 0); } [System.Diagnostics.DebuggerNonUserCode] public ITerminalNode SPECIALSET() { return GetToken(AngouriMathParser.SPECIALSET, 0); } @@ -1844,7 +1847,7 @@ public AtomContext atom() { AtomContext _localctx = new AtomContext(Context, State); EnterRule(_localctx, 40, RULE_atom); try { - State = 879; + State = 881; ErrorHandler.Sync(this); switch ( Interpreter.AdaptivePredict(TokenStream,30,Context) ) { case 1: @@ -1867,318 +1870,314 @@ public AtomContext atom() { EnterOuterAlt(_localctx, 3); { State = 321; - _localctx._NUMBER = Match(NUMBER); - _localctx.value = Entity.Number.Complex.Parse((_localctx._NUMBER!=null?_localctx._NUMBER.Text:null)); + Match(NAN); + _localctx.value = Entity.Number.Real.NaN; } break; case 4: EnterOuterAlt(_localctx, 4); { State = 323; - _localctx._BOOLEAN = Match(BOOLEAN); - _localctx.value = Entity.Boolean.Parse((_localctx._BOOLEAN!=null?_localctx._BOOLEAN.Text:null)); + _localctx._NUMBER = Match(NUMBER); + _localctx.value = Entity.Number.Complex.Parse((_localctx._NUMBER!=null?_localctx._NUMBER.Text:null)); } break; case 5: EnterOuterAlt(_localctx, 5); { State = 325; - _localctx._SPECIALSET = Match(SPECIALSET); - _localctx.value = Entity.Set.SpecialSet.Create((_localctx._SPECIALSET!=null?_localctx._SPECIALSET.Text:null)); + _localctx._BOOLEAN = Match(BOOLEAN); + _localctx.value = Entity.Boolean.Parse((_localctx._BOOLEAN!=null?_localctx._BOOLEAN.Text:null)); } break; case 6: EnterOuterAlt(_localctx, 6); { State = 327; - _localctx._VARIABLE = Match(VARIABLE); - _localctx.value = Entity.Variable.CreateVariableUnchecked((_localctx._VARIABLE!=null?_localctx._VARIABLE.Text:null)); + _localctx._SPECIALSET = Match(SPECIALSET); + _localctx.value = Entity.Set.SpecialSet.Create((_localctx._SPECIALSET!=null?_localctx._SPECIALSET.Text:null)); } break; case 7: EnterOuterAlt(_localctx, 7); { State = 329; + _localctx._VARIABLE = Match(VARIABLE); + _localctx.value = Entity.Variable.CreateVariableUnchecked((_localctx._VARIABLE!=null?_localctx._VARIABLE.Text:null)); + } + break; + case 8: + EnterOuterAlt(_localctx, 8); + { + State = 331; Match(T__34); - State = 330; + State = 332; _localctx._expression = expression(); - State = 331; + State = 333; Match(T__35); _localctx.value = _localctx._expression.value.Abs(); } break; - case 8: - EnterOuterAlt(_localctx, 8); + case 9: + EnterOuterAlt(_localctx, 9); { - State = 334; + State = 336; Match(T__36); - State = 335; + State = 337; _localctx._function_arguments = function_arguments(); - State = 336; + State = 338; Match(T__37); _localctx.value = ParsingHelpers.TryBuildingMatrix(_localctx._function_arguments.list).T; } break; - case 9: - EnterOuterAlt(_localctx, 9); + case 10: + EnterOuterAlt(_localctx, 10); { - State = 339; + State = 341; Match(T__36); - State = 340; + State = 342; _localctx._function_arguments = function_arguments(); - State = 341; + State = 343; Match(T__38); _localctx.value = ParsingHelpers.TryBuildingMatrix(_localctx._function_arguments.list); } break; - case 10: - EnterOuterAlt(_localctx, 10); + case 11: + EnterOuterAlt(_localctx, 11); { - State = 344; + State = 346; Match(T__39); - State = 345; + State = 347; _localctx._interval_arguments = interval_arguments(); - State = 346; + State = 348; Match(T__40); _localctx.value = new Entity.Set.Interval(_localctx._interval_arguments.couple.from, false, _localctx._interval_arguments.couple.to, false); } break; - case 11: - EnterOuterAlt(_localctx, 11); + case 12: + EnterOuterAlt(_localctx, 12); { - State = 349; + State = 351; Match(T__36); - State = 350; + State = 352; _localctx._interval_arguments = interval_arguments(); - State = 351; + State = 353; Match(T__40); _localctx.value = new Entity.Set.Interval(_localctx._interval_arguments.couple.from, true, _localctx._interval_arguments.couple.to, false); } break; - case 12: - EnterOuterAlt(_localctx, 12); + case 13: + EnterOuterAlt(_localctx, 13); { - State = 354; + State = 356; Match(T__36); - State = 355; + State = 357; _localctx._interval_arguments = interval_arguments(); - State = 356; + State = 358; Match(T__38); _localctx.value = new Entity.Set.Interval(_localctx._interval_arguments.couple.from, true, _localctx._interval_arguments.couple.to, true); } break; - case 13: - EnterOuterAlt(_localctx, 13); + case 14: + EnterOuterAlt(_localctx, 14); { - State = 359; + State = 361; Match(T__39); - State = 360; + State = 362; _localctx._interval_arguments = interval_arguments(); - State = 361; + State = 363; Match(T__38); _localctx.value = new Entity.Set.Interval(_localctx._interval_arguments.couple.from, false, _localctx._interval_arguments.couple.to, true); } break; - case 14: - EnterOuterAlt(_localctx, 14); + case 15: + EnterOuterAlt(_localctx, 15); { - State = 364; + State = 366; Match(T__39); - State = 365; + State = 367; _localctx._expression = expression(); - State = 366; + State = 368; Match(T__40); _localctx.value = _localctx._expression.value; } break; - case 15: - EnterOuterAlt(_localctx, 15); + case 16: + EnterOuterAlt(_localctx, 16); { - State = 369; + State = 371; Match(T__41); - State = 370; + State = 372; _localctx.cset_args = cset_arguments(); - State = 371; + State = 373; Match(T__42); _localctx.value = new ConditionalSet(_localctx.cset_args.couple.variable, _localctx.cset_args.couple.predicate); } break; - case 16: - EnterOuterAlt(_localctx, 16); + case 17: + EnterOuterAlt(_localctx, 17); { - State = 374; + State = 376; Match(T__41); - State = 375; + State = 377; _localctx.args = function_arguments(); - State = 376; + State = 378; Match(T__42); _localctx.value = new FiniteSet((IEnumerable)_localctx.args.list); } break; - case 17: - EnterOuterAlt(_localctx, 17); - { - State = 379; - Match(T__43); - State = 380; - _localctx.args = function_arguments(); - State = 381; - Match(T__40); - _localctx.value = Assert("log", (1, 2), _localctx.args.list.Count) ? MathS.Log(10, _localctx.args.list[0]) : MathS.Log(_localctx.args.list[0], _localctx.args.list[1]); - } - break; case 18: EnterOuterAlt(_localctx, 18); { - State = 384; - Match(T__44); - State = 385; + State = 381; + Match(T__43); + State = 382; _localctx.args = function_arguments(); - State = 386; + State = 383; Match(T__40); - Assert("log10", 1, _localctx.args.list.Count); _localctx.value = MathS.Log(10, _localctx.args.list[0]); + _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 19: EnterOuterAlt(_localctx, 19); { - State = 389; - Match(T__45); - State = 390; + State = 386; + Match(T__44); + State = 387; _localctx.args = function_arguments(); - State = 391; + State = 388; Match(T__40); - Assert("log2", 1, _localctx.args.list.Count); _localctx.value = MathS.Log(2, _localctx.args.list[0]); + Assert("log10", 1, _localctx.args.list.Count); _localctx.value = MathS.Log(10, _localctx.args.list[0]); } break; case 20: EnterOuterAlt(_localctx, 20); { - State = 394; - Match(T__46); - State = 395; + State = 391; + Match(T__45); + State = 392; _localctx.args = function_arguments(); - State = 396; + State = 393; Match(T__40); - Assert("pow", 2, _localctx.args.list.Count); _localctx.value = MathS.Pow(_localctx.args.list[0], _localctx.args.list[1]); + Assert("log2", 1, _localctx.args.list.Count); _localctx.value = MathS.Log(2, _localctx.args.list[0]); } break; case 21: EnterOuterAlt(_localctx, 21); { - State = 399; - Match(T__47); - State = 400; + State = 396; + Match(T__46); + State = 397; _localctx.args = function_arguments(); - State = 401; + State = 398; Match(T__40); - Assert("sqrt", 1, _localctx.args.list.Count); _localctx.value = MathS.Sqrt(_localctx.args.list[0]); + Assert("pow", 2, _localctx.args.list.Count); _localctx.value = MathS.Pow(_localctx.args.list[0], _localctx.args.list[1]); } break; case 22: EnterOuterAlt(_localctx, 22); { - State = 404; - Match(T__48); - State = 405; + State = 401; + Match(T__47); + State = 402; _localctx.args = function_arguments(); - State = 406; + State = 403; Match(T__40); - Assert("cbrt", 1, _localctx.args.list.Count); _localctx.value = MathS.Cbrt(_localctx.args.list[0]); + Assert("sqrt", 1, _localctx.args.list.Count); _localctx.value = MathS.Sqrt(_localctx.args.list[0]); } break; case 23: EnterOuterAlt(_localctx, 23); { - State = 409; - Match(T__49); - State = 410; + State = 406; + Match(T__48); + State = 407; _localctx.args = function_arguments(); - State = 411; + State = 408; Match(T__40); - Assert("sqr", 1, _localctx.args.list.Count); _localctx.value = MathS.Sqr(_localctx.args.list[0]); + Assert("cbrt", 1, _localctx.args.list.Count); _localctx.value = MathS.Cbrt(_localctx.args.list[0]); } break; case 24: EnterOuterAlt(_localctx, 24); { - State = 414; - Match(T__50); - State = 415; + State = 411; + Match(T__49); + State = 412; _localctx.args = function_arguments(); - State = 416; + State = 413; Match(T__40); - Assert("ln", 1, _localctx.args.list.Count); _localctx.value = MathS.Ln(_localctx.args.list[0]); + Assert("sqr", 1, _localctx.args.list.Count); _localctx.value = MathS.Sqr(_localctx.args.list[0]); } break; case 25: EnterOuterAlt(_localctx, 25); { - State = 419; - Match(T__51); - State = 420; + State = 416; + Match(T__50); + State = 417; _localctx.args = function_arguments(); - State = 421; + State = 418; Match(T__40); - Assert("exp", 1, _localctx.args.list.Count); _localctx.value = MathS.Pow(MathS.e, _localctx.args.list[0]); + Assert("ln", 1, _localctx.args.list.Count); _localctx.value = MathS.Ln(_localctx.args.list[0]); } break; case 26: EnterOuterAlt(_localctx, 26); { - State = 424; - Match(T__52); - State = 425; + State = 421; + Match(T__51); + State = 422; _localctx.args = function_arguments(); - State = 426; + State = 423; Match(T__40); - Assert("sin", 1, _localctx.args.list.Count); _localctx.value = MathS.Sin(_localctx.args.list[0]); + Assert("exp", 1, _localctx.args.list.Count); _localctx.value = MathS.Pow(MathS.e, _localctx.args.list[0]); } break; case 27: EnterOuterAlt(_localctx, 27); { - State = 429; - Match(T__53); - State = 430; + State = 426; + Match(T__52); + State = 427; _localctx.args = function_arguments(); - State = 431; + State = 428; Match(T__40); - Assert("cos", 1, _localctx.args.list.Count); _localctx.value = MathS.Cos(_localctx.args.list[0]); + Assert("sin", 1, _localctx.args.list.Count); _localctx.value = MathS.Sin(_localctx.args.list[0]); } break; case 28: EnterOuterAlt(_localctx, 28); { - State = 434; - Match(T__54); - State = 435; + State = 431; + Match(T__53); + State = 432; _localctx.args = function_arguments(); - State = 436; + State = 433; Match(T__40); - Assert("tan", 1, _localctx.args.list.Count); _localctx.value = MathS.Tan(_localctx.args.list[0]); + Assert("cos", 1, _localctx.args.list.Count); _localctx.value = MathS.Cos(_localctx.args.list[0]); } break; case 29: EnterOuterAlt(_localctx, 29); { - State = 439; - Match(T__55); - State = 440; + State = 436; + Match(T__54); + State = 437; _localctx.args = function_arguments(); - State = 441; + State = 438; Match(T__40); - Assert("cotan", 1, _localctx.args.list.Count); _localctx.value = MathS.Cotan(_localctx.args.list[0]); + Assert("tan", 1, _localctx.args.list.Count); _localctx.value = MathS.Tan(_localctx.args.list[0]); } break; case 30: EnterOuterAlt(_localctx, 30); { - State = 444; - Match(T__56); - State = 445; + State = 441; + Match(T__55); + State = 442; _localctx.args = function_arguments(); - State = 446; + State = 443; Match(T__40); Assert("cotan", 1, _localctx.args.list.Count); _localctx.value = MathS.Cotan(_localctx.args.list[0]); } @@ -2186,35 +2185,35 @@ public AtomContext atom() { case 31: EnterOuterAlt(_localctx, 31); { - State = 449; - Match(T__57); - State = 450; + State = 446; + Match(T__56); + State = 447; _localctx.args = function_arguments(); - State = 451; + State = 448; Match(T__40); - Assert("sec", 1, _localctx.args.list.Count); _localctx.value = MathS.Sec(_localctx.args.list[0]); + Assert("cotan", 1, _localctx.args.list.Count); _localctx.value = MathS.Cotan(_localctx.args.list[0]); } break; case 32: EnterOuterAlt(_localctx, 32); { - State = 454; - Match(T__58); - State = 455; + State = 451; + Match(T__57); + State = 452; _localctx.args = function_arguments(); - State = 456; + State = 453; Match(T__40); - Assert("cosec", 1, _localctx.args.list.Count); _localctx.value = MathS.Cosec(_localctx.args.list[0]); + Assert("sec", 1, _localctx.args.list.Count); _localctx.value = MathS.Sec(_localctx.args.list[0]); } break; case 33: EnterOuterAlt(_localctx, 33); { - State = 459; - Match(T__59); - State = 460; + State = 456; + Match(T__58); + State = 457; _localctx.args = function_arguments(); - State = 461; + State = 458; Match(T__40); Assert("cosec", 1, _localctx.args.list.Count); _localctx.value = MathS.Cosec(_localctx.args.list[0]); } @@ -2222,83 +2221,83 @@ public AtomContext atom() { case 34: EnterOuterAlt(_localctx, 34); { - State = 464; - Match(T__60); - State = 465; + State = 461; + Match(T__59); + State = 462; _localctx.args = function_arguments(); - State = 466; + State = 463; Match(T__40); - Assert("arcsin", 1, _localctx.args.list.Count); _localctx.value = MathS.Arcsin(_localctx.args.list[0]); + Assert("cosec", 1, _localctx.args.list.Count); _localctx.value = MathS.Cosec(_localctx.args.list[0]); } break; case 35: EnterOuterAlt(_localctx, 35); { - State = 469; - Match(T__61); - State = 470; + State = 466; + Match(T__60); + State = 467; _localctx.args = function_arguments(); - State = 471; + State = 468; Match(T__40); - Assert("arccos", 1, _localctx.args.list.Count); _localctx.value = MathS.Arccos(_localctx.args.list[0]); + Assert("arcsin", 1, _localctx.args.list.Count); _localctx.value = MathS.Arcsin(_localctx.args.list[0]); } break; case 36: EnterOuterAlt(_localctx, 36); { - State = 474; - Match(T__62); - State = 475; + State = 471; + Match(T__61); + State = 472; _localctx.args = function_arguments(); - State = 476; + State = 473; Match(T__40); - Assert("arctan", 1, _localctx.args.list.Count); _localctx.value = MathS.Arctan(_localctx.args.list[0]); + Assert("arccos", 1, _localctx.args.list.Count); _localctx.value = MathS.Arccos(_localctx.args.list[0]); } break; case 37: EnterOuterAlt(_localctx, 37); { - State = 479; - Match(T__63); - State = 480; + State = 476; + Match(T__62); + State = 477; _localctx.args = function_arguments(); - State = 481; + State = 478; Match(T__40); - Assert("arccotan", 1, _localctx.args.list.Count); _localctx.value = MathS.Arccotan(_localctx.args.list[0]); + Assert("arctan", 1, _localctx.args.list.Count); _localctx.value = MathS.Arctan(_localctx.args.list[0]); } break; case 38: EnterOuterAlt(_localctx, 38); { - State = 484; - Match(T__64); - State = 485; + State = 481; + Match(T__63); + State = 482; _localctx.args = function_arguments(); - State = 486; + State = 483; Match(T__40); - Assert("arcsec", 1, _localctx.args.list.Count); _localctx.value = MathS.Arcsec(_localctx.args.list[0]); + Assert("arccotan", 1, _localctx.args.list.Count); _localctx.value = MathS.Arccotan(_localctx.args.list[0]); } break; case 39: EnterOuterAlt(_localctx, 39); { - State = 489; - Match(T__65); - State = 490; + State = 486; + Match(T__64); + State = 487; _localctx.args = function_arguments(); - State = 491; + State = 488; Match(T__40); - Assert("arccosec", 1, _localctx.args.list.Count); _localctx.value = MathS.Arccosec(_localctx.args.list[0]); + Assert("arcsec", 1, _localctx.args.list.Count); _localctx.value = MathS.Arcsec(_localctx.args.list[0]); } break; case 40: EnterOuterAlt(_localctx, 40); { - State = 494; - Match(T__66); - State = 495; + State = 491; + Match(T__65); + State = 492; _localctx.args = function_arguments(); - State = 496; + State = 493; Match(T__40); Assert("arccosec", 1, _localctx.args.list.Count); _localctx.value = MathS.Arccosec(_localctx.args.list[0]); } @@ -2306,11 +2305,11 @@ public AtomContext atom() { case 41: EnterOuterAlt(_localctx, 41); { - State = 499; - Match(T__67); - State = 500; + State = 496; + Match(T__66); + State = 497; _localctx.args = function_arguments(); - State = 501; + State = 498; Match(T__40); Assert("arccosec", 1, _localctx.args.list.Count); _localctx.value = MathS.Arccosec(_localctx.args.list[0]); } @@ -2318,95 +2317,95 @@ public AtomContext atom() { case 42: EnterOuterAlt(_localctx, 42); { - State = 504; - Match(T__68); - State = 505; + State = 501; + Match(T__67); + State = 502; _localctx.args = function_arguments(); - State = 506; + State = 503; Match(T__40); - Assert("arcsin", 1, _localctx.args.list.Count); _localctx.value = MathS.Arcsin(_localctx.args.list[0]); + Assert("arccosec", 1, _localctx.args.list.Count); _localctx.value = MathS.Arccosec(_localctx.args.list[0]); } break; case 43: EnterOuterAlt(_localctx, 43); { - State = 509; - Match(T__69); - State = 510; + State = 506; + Match(T__68); + State = 507; _localctx.args = function_arguments(); - State = 511; + State = 508; Match(T__40); - Assert("arccos", 1, _localctx.args.list.Count); _localctx.value = MathS.Arccos(_localctx.args.list[0]); + Assert("arcsin", 1, _localctx.args.list.Count); _localctx.value = MathS.Arcsin(_localctx.args.list[0]); } break; case 44: EnterOuterAlt(_localctx, 44); { - State = 514; - Match(T__70); - State = 515; + State = 511; + Match(T__69); + State = 512; _localctx.args = function_arguments(); - State = 516; + State = 513; Match(T__40); - Assert("arctan", 1, _localctx.args.list.Count); _localctx.value = MathS.Arctan(_localctx.args.list[0]); + Assert("arccos", 1, _localctx.args.list.Count); _localctx.value = MathS.Arccos(_localctx.args.list[0]); } break; case 45: EnterOuterAlt(_localctx, 45); { - State = 519; - Match(T__71); - State = 520; + State = 516; + Match(T__70); + State = 517; _localctx.args = function_arguments(); - State = 521; + State = 518; Match(T__40); - Assert("arccotan", 1, _localctx.args.list.Count); _localctx.value = MathS.Arccotan(_localctx.args.list[0]); + Assert("arctan", 1, _localctx.args.list.Count); _localctx.value = MathS.Arctan(_localctx.args.list[0]); } break; case 46: EnterOuterAlt(_localctx, 46); { - State = 524; - Match(T__72); - State = 525; + State = 521; + Match(T__71); + State = 522; _localctx.args = function_arguments(); - State = 526; + State = 523; Match(T__40); - Assert("arcsec", 1, _localctx.args.list.Count); _localctx.value = MathS.Arcsec(_localctx.args.list[0]); + Assert("arccotan", 1, _localctx.args.list.Count); _localctx.value = MathS.Arccotan(_localctx.args.list[0]); } break; case 47: EnterOuterAlt(_localctx, 47); { - State = 529; - Match(T__73); - State = 530; + State = 526; + Match(T__72); + State = 527; _localctx.args = function_arguments(); - State = 531; + State = 528; Match(T__40); - Assert("arccosec", 1, _localctx.args.list.Count); _localctx.value = MathS.Arccosec(_localctx.args.list[0]); + Assert("arcsec", 1, _localctx.args.list.Count); _localctx.value = MathS.Arcsec(_localctx.args.list[0]); } break; case 48: EnterOuterAlt(_localctx, 48); { - State = 534; - Match(T__74); - State = 535; + State = 531; + Match(T__73); + State = 532; _localctx.args = function_arguments(); - State = 536; + State = 533; Match(T__40); - Assert("arccotan", 1, _localctx.args.list.Count); _localctx.value = MathS.Arccotan(_localctx.args.list[0]); + Assert("arccosec", 1, _localctx.args.list.Count); _localctx.value = MathS.Arccosec(_localctx.args.list[0]); } break; case 49: EnterOuterAlt(_localctx, 49); { - State = 539; - Match(T__75); - State = 540; + State = 536; + Match(T__74); + State = 537; _localctx.args = function_arguments(); - State = 541; + State = 538; Match(T__40); Assert("arccotan", 1, _localctx.args.list.Count); _localctx.value = MathS.Arccotan(_localctx.args.list[0]); } @@ -2414,23 +2413,23 @@ public AtomContext atom() { case 50: EnterOuterAlt(_localctx, 50); { - State = 544; - Match(T__76); - State = 545; + State = 541; + Match(T__75); + State = 542; _localctx.args = function_arguments(); - State = 546; + State = 543; Match(T__40); - Assert("sin", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Sinh(_localctx.args.list[0]); + Assert("arccotan", 1, _localctx.args.list.Count); _localctx.value = MathS.Arccotan(_localctx.args.list[0]); } break; case 51: EnterOuterAlt(_localctx, 51); { - State = 549; - Match(T__77); - State = 550; + State = 546; + Match(T__76); + State = 547; _localctx.args = function_arguments(); - State = 551; + State = 548; Match(T__40); Assert("sin", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Sinh(_localctx.args.list[0]); } @@ -2438,23 +2437,23 @@ public AtomContext atom() { case 52: EnterOuterAlt(_localctx, 52); { - State = 554; - Match(T__78); - State = 555; + State = 551; + Match(T__77); + State = 552; _localctx.args = function_arguments(); - State = 556; + State = 553; Match(T__40); - Assert("cos", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Cosh(_localctx.args.list[0]); + Assert("sin", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Sinh(_localctx.args.list[0]); } break; case 53: EnterOuterAlt(_localctx, 53); { - State = 559; - Match(T__79); - State = 560; + State = 556; + Match(T__78); + State = 557; _localctx.args = function_arguments(); - State = 561; + State = 558; Match(T__40); Assert("cos", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Cosh(_localctx.args.list[0]); } @@ -2462,23 +2461,23 @@ public AtomContext atom() { case 54: EnterOuterAlt(_localctx, 54); { - State = 564; - Match(T__80); - State = 565; + State = 561; + Match(T__79); + State = 562; _localctx.args = function_arguments(); - State = 566; + State = 563; Match(T__40); - Assert("tan", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Tanh(_localctx.args.list[0]); + Assert("cos", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Cosh(_localctx.args.list[0]); } break; case 55: EnterOuterAlt(_localctx, 55); { - State = 569; - Match(T__81); - State = 570; + State = 566; + Match(T__80); + State = 567; _localctx.args = function_arguments(); - State = 571; + State = 568; Match(T__40); Assert("tan", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Tanh(_localctx.args.list[0]); } @@ -2486,23 +2485,23 @@ public AtomContext atom() { case 56: EnterOuterAlt(_localctx, 56); { - State = 574; - Match(T__82); - State = 575; + State = 571; + Match(T__81); + State = 572; _localctx.args = function_arguments(); - State = 576; + State = 573; Match(T__40); - Assert("cotan", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Cotanh(_localctx.args.list[0]); + Assert("tan", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Tanh(_localctx.args.list[0]); } break; case 57: EnterOuterAlt(_localctx, 57); { - State = 579; - Match(T__83); - State = 580; + State = 576; + Match(T__82); + State = 577; _localctx.args = function_arguments(); - State = 581; + State = 578; Match(T__40); Assert("cotan", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Cotanh(_localctx.args.list[0]); } @@ -2510,11 +2509,11 @@ public AtomContext atom() { case 58: EnterOuterAlt(_localctx, 58); { - State = 584; - Match(T__84); - State = 585; + State = 581; + Match(T__83); + State = 582; _localctx.args = function_arguments(); - State = 586; + State = 583; Match(T__40); Assert("cotan", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Cotanh(_localctx.args.list[0]); } @@ -2522,23 +2521,23 @@ public AtomContext atom() { case 59: EnterOuterAlt(_localctx, 59); { - State = 589; - Match(T__85); - State = 590; + State = 586; + Match(T__84); + State = 587; _localctx.args = function_arguments(); - State = 591; + State = 588; Match(T__40); - Assert("sec", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Sech(_localctx.args.list[0]); + Assert("cotan", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Cotanh(_localctx.args.list[0]); } break; case 60: EnterOuterAlt(_localctx, 60); { - State = 594; - Match(T__86); - State = 595; + State = 591; + Match(T__85); + State = 592; _localctx.args = function_arguments(); - State = 596; + State = 593; Match(T__40); Assert("sec", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Sech(_localctx.args.list[0]); } @@ -2546,23 +2545,23 @@ public AtomContext atom() { case 61: EnterOuterAlt(_localctx, 61); { - State = 599; - Match(T__87); - State = 600; + State = 596; + Match(T__86); + State = 597; _localctx.args = function_arguments(); - State = 601; + State = 598; Match(T__40); - Assert("cosec", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Cosech(_localctx.args.list[0]); + Assert("sec", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Sech(_localctx.args.list[0]); } break; case 62: EnterOuterAlt(_localctx, 62); { - State = 604; - Match(T__88); - State = 605; + State = 601; + Match(T__87); + State = 602; _localctx.args = function_arguments(); - State = 606; + State = 603; Match(T__40); Assert("cosec", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Cosech(_localctx.args.list[0]); } @@ -2570,23 +2569,23 @@ public AtomContext atom() { case 63: EnterOuterAlt(_localctx, 63); { - State = 609; - Match(T__89); - State = 610; + State = 606; + Match(T__88); + State = 607; _localctx.args = function_arguments(); - State = 611; + State = 608; Match(T__40); - Assert("arcsin", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Arsinh(_localctx.args.list[0]); + Assert("cosec", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Cosech(_localctx.args.list[0]); } break; case 64: EnterOuterAlt(_localctx, 64); { - State = 614; - Match(T__90); - State = 615; + State = 611; + Match(T__89); + State = 612; _localctx.args = function_arguments(); - State = 616; + State = 613; Match(T__40); Assert("arcsin", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Arsinh(_localctx.args.list[0]); } @@ -2594,11 +2593,11 @@ public AtomContext atom() { case 65: EnterOuterAlt(_localctx, 65); { - State = 619; - Match(T__91); - State = 620; + State = 616; + Match(T__90); + State = 617; _localctx.args = function_arguments(); - State = 621; + State = 618; Match(T__40); Assert("arcsin", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Arsinh(_localctx.args.list[0]); } @@ -2606,35 +2605,35 @@ public AtomContext atom() { case 66: EnterOuterAlt(_localctx, 66); { - State = 624; - Match(T__92); - State = 625; + State = 621; + Match(T__91); + State = 622; _localctx.args = function_arguments(); - State = 626; + State = 623; Match(T__40); - throw new UnrecognizedFunctionParseException("there is no function arcsinh: the inverse hyperbolic functions are area functions, not arc functions, so the inverse hyperbolic sine is arsinh, asinh or arsh"); + Assert("arcsin", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Arsinh(_localctx.args.list[0]); } break; case 67: EnterOuterAlt(_localctx, 67); { - State = 629; - Match(T__93); - State = 630; + State = 626; + Match(T__92); + State = 627; _localctx.args = function_arguments(); - State = 631; + State = 628; Match(T__40); - Assert("arccos", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Arcosh(_localctx.args.list[0]); + 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 68: EnterOuterAlt(_localctx, 68); { - State = 634; - Match(T__94); - State = 635; + State = 631; + Match(T__93); + State = 632; _localctx.args = function_arguments(); - State = 636; + State = 633; Match(T__40); Assert("arccos", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Arcosh(_localctx.args.list[0]); } @@ -2642,11 +2641,11 @@ public AtomContext atom() { case 69: EnterOuterAlt(_localctx, 69); { - State = 639; - Match(T__95); - State = 640; + State = 636; + Match(T__94); + State = 637; _localctx.args = function_arguments(); - State = 641; + State = 638; Match(T__40); Assert("arccos", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Arcosh(_localctx.args.list[0]); } @@ -2654,35 +2653,35 @@ public AtomContext atom() { case 70: EnterOuterAlt(_localctx, 70); { - State = 644; - Match(T__96); - State = 645; + State = 641; + Match(T__95); + State = 642; _localctx.args = function_arguments(); - State = 646; + State = 643; Match(T__40); - throw new UnrecognizedFunctionParseException("there is no function arccosh: the inverse hyperbolic functions are area functions, not arc functions, so the inverse hyperbolic cosine is arcosh, acosh or arch"); + Assert("arccos", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Arcosh(_localctx.args.list[0]); } break; case 71: EnterOuterAlt(_localctx, 71); { - State = 649; - Match(T__97); - State = 650; + State = 646; + Match(T__96); + State = 647; _localctx.args = function_arguments(); - State = 651; + State = 648; Match(T__40); - Assert("arctan", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Artanh(_localctx.args.list[0]); + 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 72: EnterOuterAlt(_localctx, 72); { - State = 654; - Match(T__98); - State = 655; + State = 651; + Match(T__97); + State = 652; _localctx.args = function_arguments(); - State = 656; + State = 653; Match(T__40); Assert("arctan", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Artanh(_localctx.args.list[0]); } @@ -2690,11 +2689,11 @@ public AtomContext atom() { case 73: EnterOuterAlt(_localctx, 73); { - State = 659; - Match(T__99); - State = 660; + State = 656; + Match(T__98); + State = 657; _localctx.args = function_arguments(); - State = 661; + State = 658; Match(T__40); Assert("arctan", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Artanh(_localctx.args.list[0]); } @@ -2702,35 +2701,35 @@ public AtomContext atom() { case 74: EnterOuterAlt(_localctx, 74); { - State = 664; - Match(T__100); - State = 665; + State = 661; + Match(T__99); + State = 662; _localctx.args = function_arguments(); - State = 666; + State = 663; Match(T__40); - throw new UnrecognizedFunctionParseException("there is no function arctanh: the inverse hyperbolic functions are area functions, not arc functions, so the inverse hyperbolic tangent is artanh, atanh or arth"); + Assert("arctan", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Artanh(_localctx.args.list[0]); } break; case 75: EnterOuterAlt(_localctx, 75); { - State = 669; - Match(T__101); - State = 670; + State = 666; + Match(T__100); + State = 667; _localctx.args = function_arguments(); - State = 671; + State = 668; Match(T__40); - Assert("arccotan", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Arcotanh(_localctx.args.list[0]); + 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 76: EnterOuterAlt(_localctx, 76); { - State = 674; - Match(T__102); - State = 675; + State = 671; + Match(T__101); + State = 672; _localctx.args = function_arguments(); - State = 676; + State = 673; Match(T__40); Assert("arccotan", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Arcotanh(_localctx.args.list[0]); } @@ -2738,11 +2737,11 @@ public AtomContext atom() { case 77: EnterOuterAlt(_localctx, 77); { - State = 679; - Match(T__103); - State = 680; + State = 676; + Match(T__102); + State = 677; _localctx.args = function_arguments(); - State = 681; + State = 678; Match(T__40); Assert("arccotan", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Arcotanh(_localctx.args.list[0]); } @@ -2750,11 +2749,11 @@ public AtomContext atom() { case 78: EnterOuterAlt(_localctx, 78); { - State = 684; - Match(T__104); - State = 685; + State = 681; + Match(T__103); + State = 682; _localctx.args = function_arguments(); - State = 686; + State = 683; Match(T__40); Assert("arccotan", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Arcotanh(_localctx.args.list[0]); } @@ -2762,11 +2761,11 @@ public AtomContext atom() { case 79: EnterOuterAlt(_localctx, 79); { - State = 689; - Match(T__105); - State = 690; + State = 686; + Match(T__104); + State = 687; _localctx.args = function_arguments(); - State = 691; + State = 688; Match(T__40); Assert("arccotan", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Arcotanh(_localctx.args.list[0]); } @@ -2774,35 +2773,35 @@ public AtomContext atom() { case 80: EnterOuterAlt(_localctx, 80); { - State = 694; - Match(T__106); - State = 695; + State = 691; + Match(T__105); + State = 692; _localctx.args = function_arguments(); - State = 696; + State = 693; Match(T__40); - throw new UnrecognizedFunctionParseException("there is no function arccotanh: the inverse hyperbolic functions are area functions, not arc functions, so the inverse hyperbolic cotangent is arcotanh, acotanh, arcoth, acoth or arcth"); + Assert("arccotan", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Arcotanh(_localctx.args.list[0]); } break; case 81: EnterOuterAlt(_localctx, 81); { - State = 699; - Match(T__107); - State = 700; + State = 696; + Match(T__106); + State = 697; _localctx.args = function_arguments(); - State = 701; + State = 698; Match(T__40); - Assert("arcsec", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Arsech(_localctx.args.list[0]); + 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 82: EnterOuterAlt(_localctx, 82); { - State = 704; - Match(T__108); - State = 705; + State = 701; + Match(T__107); + State = 702; _localctx.args = function_arguments(); - State = 706; + State = 703; Match(T__40); Assert("arcsec", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Arsech(_localctx.args.list[0]); } @@ -2810,11 +2809,11 @@ public AtomContext atom() { case 83: EnterOuterAlt(_localctx, 83); { - State = 709; - Match(T__109); - State = 710; + State = 706; + Match(T__108); + State = 707; _localctx.args = function_arguments(); - State = 711; + State = 708; Match(T__40); Assert("arcsec", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Arsech(_localctx.args.list[0]); } @@ -2822,35 +2821,35 @@ public AtomContext atom() { case 84: EnterOuterAlt(_localctx, 84); { - State = 714; - Match(T__110); - State = 715; + State = 711; + Match(T__109); + State = 712; _localctx.args = function_arguments(); - State = 716; + State = 713; Match(T__40); - throw new UnrecognizedFunctionParseException("there is no function arcsech: the inverse hyperbolic functions are area functions, not arc functions, so the inverse hyperbolic secant is arsech, asech or arsch"); + Assert("arcsec", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Arsech(_localctx.args.list[0]); } break; case 85: EnterOuterAlt(_localctx, 85); { - State = 719; - Match(T__111); - State = 720; + State = 716; + Match(T__110); + State = 717; _localctx.args = function_arguments(); - State = 721; + State = 718; Match(T__40); - Assert("arccosec", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Arcosech(_localctx.args.list[0]); + 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 86: EnterOuterAlt(_localctx, 86); { - State = 724; - Match(T__112); - State = 725; + State = 721; + Match(T__111); + State = 722; _localctx.args = function_arguments(); - State = 726; + State = 723; Match(T__40); Assert("arccosec", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Arcosech(_localctx.args.list[0]); } @@ -2858,11 +2857,11 @@ public AtomContext atom() { case 87: EnterOuterAlt(_localctx, 87); { - State = 729; - Match(T__113); - State = 730; + State = 726; + Match(T__112); + State = 727; _localctx.args = function_arguments(); - State = 731; + State = 728; Match(T__40); Assert("arccosec", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Arcosech(_localctx.args.list[0]); } @@ -2870,59 +2869,71 @@ public AtomContext atom() { case 88: EnterOuterAlt(_localctx, 88); { - State = 734; - Match(T__114); - State = 735; + State = 731; + Match(T__113); + State = 732; _localctx.args = function_arguments(); - State = 736; + State = 733; Match(T__40); - throw new UnrecognizedFunctionParseException("there is no function arccosech: the inverse hyperbolic functions are area functions, not arc functions, so the inverse hyperbolic cosecant is arcosech, acosech, arcsch or acsch"); + Assert("arccosec", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Arcosech(_localctx.args.list[0]); } break; case 89: EnterOuterAlt(_localctx, 89); { - State = 739; - Match(T__115); - State = 740; + State = 736; + Match(T__114); + State = 737; _localctx.args = function_arguments(); - State = 741; + State = 738; Match(T__40); - Assert("arccosec", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Arcosech(_localctx.args.list[0]); + 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 90: EnterOuterAlt(_localctx, 90); { - State = 744; - Match(T__116); - State = 745; + State = 741; + Match(T__115); + State = 742; _localctx.args = function_arguments(); - State = 746; + State = 743; Match(T__40); - Assert("factorial", 1, _localctx.args.list.Count); _localctx.value = MathS.Factorial(_localctx.args.list[0]); + Assert("arccosec", 1, _localctx.args.list.Count); _localctx.value = MathS.Hyperbolic.Arcosech(_localctx.args.list[0]); } break; case 91: EnterOuterAlt(_localctx, 91); { - State = 749; - Match(T__117); - State = 750; + State = 746; + Match(T__116); + State = 747; _localctx.args = function_arguments(); - State = 751; + State = 748; Match(T__40); - Assert("gamma", 1, _localctx.args.list.Count); _localctx.value = MathS.Gamma(_localctx.args.list[0]); + Assert("factorial", 1, _localctx.args.list.Count); _localctx.value = MathS.Factorial(_localctx.args.list[0]); } break; case 92: EnterOuterAlt(_localctx, 92); { - State = 754; - Match(T__118); - State = 755; + State = 751; + Match(T__117); + State = 752; _localctx.args = function_arguments(); + State = 753; + Match(T__40); + Assert("gamma", 1, _localctx.args.list.Count); _localctx.value = MathS.Gamma(_localctx.args.list[0]); + } + break; + case 93: + EnterOuterAlt(_localctx, 93); + { State = 756; + Match(T__118); + State = 757; + _localctx.args = function_arguments(); + State = 758; Match(T__40); if (Assert("derivative", (3, 2), _localctx.args.list.Count)) @@ -2937,14 +2948,14 @@ public AtomContext atom() { } break; - case 93: - EnterOuterAlt(_localctx, 93); + case 94: + EnterOuterAlt(_localctx, 94); { - State = 759; + State = 761; Match(T__119); - State = 760; + State = 762; _localctx.args = function_arguments(); - State = 761; + State = 763; Match(T__40); if (Assert("integral", (4, 2), _localctx.args.list.Count)) @@ -2959,242 +2970,242 @@ public AtomContext atom() { } break; - case 94: - EnterOuterAlt(_localctx, 94); + case 95: + EnterOuterAlt(_localctx, 95); { - State = 764; + State = 766; Match(T__120); - State = 765; + State = 767; _localctx.args = function_arguments(); - State = 766; + State = 768; Match(T__40); Assert("limit", 3, _localctx.args.list.Count); _localctx.value = MathS.Limit(_localctx.args.list[0], _localctx.args.list[1], _localctx.args.list[2]); } break; - case 95: - EnterOuterAlt(_localctx, 95); + case 96: + EnterOuterAlt(_localctx, 96); { - State = 769; + State = 771; Match(T__121); - State = 770; + State = 772; _localctx.args = function_arguments(); - State = 771; + State = 773; Match(T__40); Assert("limitleft", 3, _localctx.args.list.Count); _localctx.value = MathS.Limit(_localctx.args.list[0], _localctx.args.list[1], _localctx.args.list[2], AngouriMath.Core.ApproachFrom.Left); } break; - case 96: - EnterOuterAlt(_localctx, 96); + case 97: + EnterOuterAlt(_localctx, 97); { - State = 774; + State = 776; Match(T__122); - State = 775; + State = 777; _localctx.args = function_arguments(); - State = 776; + State = 778; Match(T__40); Assert("limitright", 3, _localctx.args.list.Count); _localctx.value = MathS.Limit(_localctx.args.list[0], _localctx.args.list[1], _localctx.args.list[2], AngouriMath.Core.ApproachFrom.Right); } break; - case 97: - EnterOuterAlt(_localctx, 97); + case 98: + EnterOuterAlt(_localctx, 98); { - State = 779; + State = 781; Match(T__123); - State = 780; + State = 782; _localctx.args = function_arguments(); - State = 781; + State = 783; Match(T__40); Assert("signum", 1, _localctx.args.list.Count); _localctx.value = MathS.Signum(_localctx.args.list[0]); } break; - case 98: - EnterOuterAlt(_localctx, 98); + case 99: + EnterOuterAlt(_localctx, 99); { - State = 784; + State = 786; Match(T__124); - State = 785; + State = 787; _localctx.args = function_arguments(); - State = 786; + State = 788; Match(T__40); Assert("sgn", 1, _localctx.args.list.Count); _localctx.value = MathS.Signum(_localctx.args.list[0]); } break; - case 99: - EnterOuterAlt(_localctx, 99); + case 100: + EnterOuterAlt(_localctx, 100); { - State = 789; + State = 791; Match(T__125); - State = 790; + State = 792; _localctx.args = function_arguments(); - State = 791; + State = 793; Match(T__40); Assert("sign", 1, _localctx.args.list.Count); _localctx.value = MathS.Signum(_localctx.args.list[0]); } break; - case 100: - EnterOuterAlt(_localctx, 100); + case 101: + EnterOuterAlt(_localctx, 101); { - State = 794; + State = 796; Match(T__126); - State = 795; + State = 797; _localctx.args = function_arguments(); - State = 796; + State = 798; Match(T__40); Assert("abs", 1, _localctx.args.list.Count); _localctx.value = MathS.Abs(_localctx.args.list[0]); } break; - case 101: - EnterOuterAlt(_localctx, 101); + case 102: + EnterOuterAlt(_localctx, 102); { - State = 799; + State = 801; Match(T__127); - State = 800; + State = 802; _localctx.args = function_arguments(); - State = 801; + State = 803; Match(T__40); Assert("phi", 1, _localctx.args.list.Count); _localctx.value = MathS.NumberTheory.Phi(_localctx.args.list[0]); } break; - case 102: - EnterOuterAlt(_localctx, 102); + case 103: + EnterOuterAlt(_localctx, 103); { - State = 804; + State = 806; Match(T__128); - State = 805; + State = 807; _localctx.args = function_arguments(); - State = 806; + State = 808; Match(T__40); Assert("floor", 1, _localctx.args.list.Count); _localctx.value = MathS.Floor(_localctx.args.list[0]); } break; - case 103: - EnterOuterAlt(_localctx, 103); + case 104: + EnterOuterAlt(_localctx, 104); { - State = 809; + State = 811; Match(T__129); - State = 810; + State = 812; _localctx.args = function_arguments(); - State = 811; + State = 813; Match(T__40); Assert("ceil", 1, _localctx.args.list.Count); _localctx.value = MathS.Ceil(_localctx.args.list[0]); } break; - case 104: - EnterOuterAlt(_localctx, 104); + case 105: + EnterOuterAlt(_localctx, 105); { - State = 814; + State = 816; Match(T__130); - State = 815; + State = 817; _localctx.args = function_arguments(); - State = 816; + State = 818; Match(T__40); Assert("ceiling", 1, _localctx.args.list.Count); _localctx.value = MathS.Ceil(_localctx.args.list[0]); } break; - case 105: - EnterOuterAlt(_localctx, 105); + case 106: + EnterOuterAlt(_localctx, 106); { - State = 819; + State = 821; Match(T__131); - State = 820; + State = 822; _localctx.args = function_arguments(); - State = 821; + State = 823; Match(T__40); Assert("round", 1, _localctx.args.list.Count); _localctx.value = MathS.Round(_localctx.args.list[0]); } break; - case 106: - EnterOuterAlt(_localctx, 106); + case 107: + EnterOuterAlt(_localctx, 107); { - State = 824; + State = 826; Match(T__132); - State = 825; + State = 827; _localctx.args = function_arguments(); - State = 826; + State = 828; Match(T__40); AssertAtLeast("min", 1, _localctx.args.list.Count); _localctx.value = _localctx.args.list.Aggregate((a, b) => MathS.Min(a, b)); } break; - case 107: - EnterOuterAlt(_localctx, 107); + case 108: + EnterOuterAlt(_localctx, 108); { - State = 829; + State = 831; Match(T__133); - State = 830; + State = 832; _localctx.args = function_arguments(); - State = 831; + State = 833; Match(T__40); AssertAtLeast("max", 1, _localctx.args.list.Count); _localctx.value = _localctx.args.list.Aggregate((a, b) => MathS.Max(a, b)); } break; - case 108: - EnterOuterAlt(_localctx, 108); + case 109: + EnterOuterAlt(_localctx, 109); { - State = 834; + State = 836; Match(T__134); - State = 835; + State = 837; _localctx.args = function_arguments(); - State = 836; + State = 838; Match(T__40); AssertAtLeast("gcd", 1, _localctx.args.list.Count); _localctx.value = _localctx.args.list.Aggregate((a, b) => MathS.Gcd(a, b)); } break; - case 109: - EnterOuterAlt(_localctx, 109); + case 110: + EnterOuterAlt(_localctx, 110); { - State = 839; + State = 841; Match(T__135); - State = 840; + State = 842; _localctx.args = function_arguments(); - State = 841; + State = 843; Match(T__40); _localctx.value = NotImplementedFunction("trunc", "rounding functions"); } break; - case 110: - EnterOuterAlt(_localctx, 110); + case 111: + EnterOuterAlt(_localctx, 111); { - State = 844; + State = 846; Match(T__136); - State = 845; + State = 847; _localctx.args = function_arguments(); - State = 846; + State = 848; Match(T__40); _localctx.value = NotImplementedFunction("lcm", "least common multiple as a symbolic function"); } break; - case 111: - EnterOuterAlt(_localctx, 111); + case 112: + EnterOuterAlt(_localctx, 112); { - State = 849; + State = 851; Match(T__137); - State = 850; + State = 852; _localctx.args = function_arguments(); - State = 851; + State = 853; Match(T__40); _localctx.value = NotImplementedFunction("erf", "error function"); } break; - case 112: - EnterOuterAlt(_localctx, 112); + case 113: + EnterOuterAlt(_localctx, 113); { - State = 854; + State = 856; Match(T__138); - State = 855; + State = 857; _localctx.args = function_arguments(); - State = 856; + State = 858; Match(T__40); _localctx.value = NotImplementedFunction("conjugate", "complex conjugate as a symbolic function"); } break; - case 113: - EnterOuterAlt(_localctx, 113); + case 114: + EnterOuterAlt(_localctx, 114); { - State = 859; + State = 861; Match(T__139); - State = 860; + State = 862; _localctx.args = function_arguments(); - State = 861; + State = 863; Match(T__40); Assert("domain", 2, _localctx.args.list.Count); @@ -3204,14 +3215,14 @@ public AtomContext atom() { } break; - case 114: - EnterOuterAlt(_localctx, 114); + case 115: + EnterOuterAlt(_localctx, 115); { - State = 864; + State = 866; Match(T__140); - State = 865; + State = 867; _localctx.args = function_arguments(); - State = 866; + State = 868; Match(T__40); var cases = new List(); @@ -3224,14 +3235,14 @@ public AtomContext atom() { } break; - case 115: - EnterOuterAlt(_localctx, 115); + case 116: + EnterOuterAlt(_localctx, 116); { - State = 869; + State = 871; Match(T__141); - State = 870; + State = 872; _localctx.args = function_arguments(); - State = 871; + State = 873; Match(T__40); if (_localctx.args.list.Count < 2) @@ -3240,14 +3251,14 @@ public AtomContext atom() { } break; - case 116: - EnterOuterAlt(_localctx, 116); + case 117: + EnterOuterAlt(_localctx, 117); { - State = 874; + State = 876; Match(T__142); - State = 875; + State = 877; _localctx.args = function_arguments(); - State = 876; + State = 878; Match(T__40); if (_localctx.args.list.Count < 2) @@ -3305,9 +3316,9 @@ public StatementContext statement() { try { EnterOuterAlt(_localctx, 1); { - State = 881; + State = 883; _localctx._expression = expression(); - State = 882; + State = 884; Match(Eof); Result = _localctx._expression.value; } @@ -3324,7 +3335,7 @@ public StatementContext statement() { } private static int[] _serializedATN = { - 4,1,150,886,2,0,7,0,2,1,7,1,2,2,7,2,2,3,7,3,2,4,7,4,2,5,7,5,2,6,7,6,2, + 4,1,151,888,2,0,7,0,2,1,7,1,2,2,7,2,2,3,7,3,2,4,7,4,2,5,7,5,2,6,7,6,2, 7,7,7,2,8,7,8,2,9,7,9,2,10,7,10,2,11,7,11,2,12,7,12,2,13,7,13,2,14,7,14, 2,15,7,15,2,16,7,16,2,17,7,17,2,18,7,18,2,19,7,19,2,20,7,20,2,21,7,21, 1,0,1,0,1,0,1,0,1,0,1,0,1,0,3,0,52,8,0,1,1,1,1,1,1,1,1,4,1,58,8,1,11,1, @@ -3386,249 +3397,250 @@ public StatementContext statement() { 20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1, 20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1, 20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1, - 20,1,20,1,20,1,20,1,20,1,20,3,20,880,8,20,1,21,1,21,1,21,1,21,1,21,0,0, - 22,0,2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40,42,0,0,1017, - 0,51,1,0,0,0,2,69,1,0,0,0,4,71,1,0,0,0,6,101,1,0,0,0,8,103,1,0,0,0,10, - 122,1,0,0,0,12,137,1,0,0,0,14,152,1,0,0,0,16,175,1,0,0,0,18,186,1,0,0, - 0,20,223,1,0,0,0,22,225,1,0,0,0,24,240,1,0,0,0,26,251,1,0,0,0,28,266,1, - 0,0,0,30,281,1,0,0,0,32,289,1,0,0,0,34,303,1,0,0,0,36,305,1,0,0,0,38,311, - 1,0,0,0,40,879,1,0,0,0,42,881,1,0,0,0,44,45,3,40,20,0,45,46,5,1,0,0,46, - 47,6,0,-1,0,47,52,1,0,0,0,48,49,3,40,20,0,49,50,6,0,-1,0,50,52,1,0,0,0, - 51,44,1,0,0,0,51,48,1,0,0,0,52,1,1,0,0,0,53,54,5,2,0,0,54,55,3,0,0,0,55, - 56,6,1,-1,0,56,58,1,0,0,0,57,53,1,0,0,0,58,59,1,0,0,0,59,57,1,0,0,0,59, - 60,1,0,0,0,60,70,1,0,0,0,61,62,5,2,0,0,62,63,3,6,3,0,63,64,6,1,-1,0,64, - 66,1,0,0,0,65,61,1,0,0,0,66,67,1,0,0,0,67,65,1,0,0,0,67,68,1,0,0,0,68, - 70,1,0,0,0,69,57,1,0,0,0,69,65,1,0,0,0,70,3,1,0,0,0,71,72,3,0,0,0,72,76, - 6,2,-1,0,73,74,3,2,1,0,74,75,6,2,-1,0,75,77,1,0,0,0,76,73,1,0,0,0,76,77, - 1,0,0,0,77,5,1,0,0,0,78,79,5,3,0,0,79,80,3,4,2,0,80,81,6,3,-1,0,81,87, - 1,0,0,0,82,83,5,4,0,0,83,84,3,4,2,0,84,85,6,3,-1,0,85,87,1,0,0,0,86,78, - 1,0,0,0,86,82,1,0,0,0,87,102,1,0,0,0,88,89,5,3,0,0,89,90,3,6,3,0,90,91, - 6,3,-1,0,91,97,1,0,0,0,92,93,5,4,0,0,93,94,3,6,3,0,94,95,6,3,-1,0,95,97, - 1,0,0,0,96,88,1,0,0,0,96,92,1,0,0,0,97,102,1,0,0,0,98,99,3,4,2,0,99,100, - 6,3,-1,0,100,102,1,0,0,0,101,86,1,0,0,0,101,96,1,0,0,0,101,98,1,0,0,0, - 102,7,1,0,0,0,103,104,3,6,3,0,104,119,6,4,-1,0,105,106,5,5,0,0,106,107, - 3,6,3,0,107,108,6,4,-1,0,108,118,1,0,0,0,109,110,5,6,0,0,110,111,3,6,3, - 0,111,112,6,4,-1,0,112,118,1,0,0,0,113,114,5,7,0,0,114,115,3,6,3,0,115, - 116,6,4,-1,0,116,118,1,0,0,0,117,105,1,0,0,0,117,109,1,0,0,0,117,113,1, - 0,0,0,118,121,1,0,0,0,119,117,1,0,0,0,119,120,1,0,0,0,120,9,1,0,0,0,121, - 119,1,0,0,0,122,123,3,8,4,0,123,134,6,5,-1,0,124,125,5,4,0,0,125,126,3, - 8,4,0,126,127,6,5,-1,0,127,133,1,0,0,0,128,129,5,3,0,0,129,130,3,8,4,0, - 130,131,6,5,-1,0,131,133,1,0,0,0,132,124,1,0,0,0,132,128,1,0,0,0,133,136, - 1,0,0,0,134,132,1,0,0,0,134,135,1,0,0,0,135,11,1,0,0,0,136,134,1,0,0,0, - 137,138,3,10,5,0,138,149,6,6,-1,0,139,140,5,8,0,0,140,141,3,10,5,0,141, - 142,6,6,-1,0,142,148,1,0,0,0,143,144,5,9,0,0,144,145,3,10,5,0,145,146, - 6,6,-1,0,146,148,1,0,0,0,147,139,1,0,0,0,147,143,1,0,0,0,148,151,1,0,0, - 0,149,147,1,0,0,0,149,150,1,0,0,0,150,13,1,0,0,0,151,149,1,0,0,0,152,153, - 3,12,6,0,153,172,6,7,-1,0,154,155,5,10,0,0,155,156,3,12,6,0,156,157,6, - 7,-1,0,157,171,1,0,0,0,158,159,5,11,0,0,159,160,3,12,6,0,160,161,6,7,-1, - 0,161,171,1,0,0,0,162,163,5,12,0,0,163,164,3,12,6,0,164,165,6,7,-1,0,165, - 171,1,0,0,0,166,167,5,13,0,0,167,168,3,12,6,0,168,169,6,7,-1,0,169,171, - 1,0,0,0,170,154,1,0,0,0,170,158,1,0,0,0,170,162,1,0,0,0,170,166,1,0,0, - 0,171,174,1,0,0,0,172,170,1,0,0,0,172,173,1,0,0,0,173,15,1,0,0,0,174,172, - 1,0,0,0,175,176,3,14,7,0,176,183,6,8,-1,0,177,178,5,14,0,0,178,179,3,14, - 7,0,179,180,6,8,-1,0,180,182,1,0,0,0,181,177,1,0,0,0,182,185,1,0,0,0,183, - 181,1,0,0,0,183,184,1,0,0,0,184,17,1,0,0,0,185,183,1,0,0,0,186,187,3,16, - 8,0,187,207,6,9,-1,0,188,189,5,15,0,0,189,201,6,9,-1,0,190,191,5,16,0, - 0,191,201,6,9,-1,0,192,193,5,17,0,0,193,201,6,9,-1,0,194,195,5,18,0,0, - 195,201,6,9,-1,0,196,197,5,19,0,0,197,201,6,9,-1,0,198,199,5,20,0,0,199, - 201,6,9,-1,0,200,188,1,0,0,0,200,190,1,0,0,0,200,192,1,0,0,0,200,194,1, - 0,0,0,200,196,1,0,0,0,200,198,1,0,0,0,201,202,1,0,0,0,202,203,3,16,8,0, - 203,204,6,9,-1,0,204,206,1,0,0,0,205,200,1,0,0,0,206,209,1,0,0,0,207,205, - 1,0,0,0,207,208,1,0,0,0,208,210,1,0,0,0,209,207,1,0,0,0,210,211,6,9,-1, - 0,211,19,1,0,0,0,212,213,5,21,0,0,213,214,3,18,9,0,214,215,6,10,-1,0,215, - 224,1,0,0,0,216,217,5,21,0,0,217,218,3,20,10,0,218,219,6,10,-1,0,219,224, - 1,0,0,0,220,221,3,18,9,0,221,222,6,10,-1,0,222,224,1,0,0,0,223,212,1,0, - 0,0,223,216,1,0,0,0,223,220,1,0,0,0,224,21,1,0,0,0,225,226,3,20,10,0,226, - 237,6,11,-1,0,227,228,5,22,0,0,228,229,3,20,10,0,229,230,6,11,-1,0,230, - 236,1,0,0,0,231,232,5,23,0,0,232,233,3,20,10,0,233,234,6,11,-1,0,234,236, - 1,0,0,0,235,227,1,0,0,0,235,231,1,0,0,0,236,239,1,0,0,0,237,235,1,0,0, - 0,237,238,1,0,0,0,238,23,1,0,0,0,239,237,1,0,0,0,240,241,3,22,11,0,241, - 248,6,12,-1,0,242,243,5,24,0,0,243,244,3,22,11,0,244,245,6,12,-1,0,245, - 247,1,0,0,0,246,242,1,0,0,0,247,250,1,0,0,0,248,246,1,0,0,0,248,249,1, - 0,0,0,249,25,1,0,0,0,250,248,1,0,0,0,251,252,3,24,12,0,252,263,6,13,-1, - 0,253,254,5,25,0,0,254,255,3,24,12,0,255,256,6,13,-1,0,256,262,1,0,0,0, - 257,258,5,26,0,0,258,259,3,24,12,0,259,260,6,13,-1,0,260,262,1,0,0,0,261, - 253,1,0,0,0,261,257,1,0,0,0,262,265,1,0,0,0,263,261,1,0,0,0,263,264,1, - 0,0,0,264,27,1,0,0,0,265,263,1,0,0,0,266,267,3,26,13,0,267,278,6,14,-1, - 0,268,269,5,27,0,0,269,270,3,26,13,0,270,271,6,14,-1,0,271,277,1,0,0,0, - 272,273,5,28,0,0,273,274,3,26,13,0,274,275,6,14,-1,0,275,277,1,0,0,0,276, - 268,1,0,0,0,276,272,1,0,0,0,277,280,1,0,0,0,278,276,1,0,0,0,278,279,1, - 0,0,0,279,29,1,0,0,0,280,278,1,0,0,0,281,282,3,28,14,0,282,287,6,15,-1, - 0,283,284,5,29,0,0,284,285,3,30,15,0,285,286,6,15,-1,0,286,288,1,0,0,0, - 287,283,1,0,0,0,287,288,1,0,0,0,288,31,1,0,0,0,289,290,3,30,15,0,290,291, - 6,16,-1,0,291,33,1,0,0,0,292,293,3,32,16,0,293,300,6,17,-1,0,294,295,5, - 30,0,0,295,296,3,32,16,0,296,297,6,17,-1,0,297,299,1,0,0,0,298,294,1,0, - 0,0,299,302,1,0,0,0,300,298,1,0,0,0,300,301,1,0,0,0,301,304,1,0,0,0,302, - 300,1,0,0,0,303,292,1,0,0,0,303,304,1,0,0,0,304,35,1,0,0,0,305,306,3,32, - 16,0,306,307,6,18,-1,0,307,308,5,31,0,0,308,309,3,32,16,0,309,310,6,18, - -1,0,310,37,1,0,0,0,311,312,3,32,16,0,312,313,6,19,-1,0,313,314,5,32,0, - 0,314,315,3,32,16,0,315,316,6,19,-1,0,316,39,1,0,0,0,317,318,5,33,0,0, - 318,880,6,20,-1,0,319,320,5,34,0,0,320,880,6,20,-1,0,321,322,5,145,0,0, - 322,880,6,20,-1,0,323,324,5,147,0,0,324,880,6,20,-1,0,325,326,5,146,0, - 0,326,880,6,20,-1,0,327,328,5,148,0,0,328,880,6,20,-1,0,329,330,5,35,0, - 0,330,331,3,32,16,0,331,332,5,36,0,0,332,333,6,20,-1,0,333,880,1,0,0,0, - 334,335,5,37,0,0,335,336,3,34,17,0,336,337,5,38,0,0,337,338,6,20,-1,0, - 338,880,1,0,0,0,339,340,5,37,0,0,340,341,3,34,17,0,341,342,5,39,0,0,342, - 343,6,20,-1,0,343,880,1,0,0,0,344,345,5,40,0,0,345,346,3,36,18,0,346,347, - 5,41,0,0,347,348,6,20,-1,0,348,880,1,0,0,0,349,350,5,37,0,0,350,351,3, - 36,18,0,351,352,5,41,0,0,352,353,6,20,-1,0,353,880,1,0,0,0,354,355,5,37, - 0,0,355,356,3,36,18,0,356,357,5,39,0,0,357,358,6,20,-1,0,358,880,1,0,0, - 0,359,360,5,40,0,0,360,361,3,36,18,0,361,362,5,39,0,0,362,363,6,20,-1, - 0,363,880,1,0,0,0,364,365,5,40,0,0,365,366,3,32,16,0,366,367,5,41,0,0, - 367,368,6,20,-1,0,368,880,1,0,0,0,369,370,5,42,0,0,370,371,3,38,19,0,371, - 372,5,43,0,0,372,373,6,20,-1,0,373,880,1,0,0,0,374,375,5,42,0,0,375,376, - 3,34,17,0,376,377,5,43,0,0,377,378,6,20,-1,0,378,880,1,0,0,0,379,380,5, - 44,0,0,380,381,3,34,17,0,381,382,5,41,0,0,382,383,6,20,-1,0,383,880,1, - 0,0,0,384,385,5,45,0,0,385,386,3,34,17,0,386,387,5,41,0,0,387,388,6,20, - -1,0,388,880,1,0,0,0,389,390,5,46,0,0,390,391,3,34,17,0,391,392,5,41,0, - 0,392,393,6,20,-1,0,393,880,1,0,0,0,394,395,5,47,0,0,395,396,3,34,17,0, - 396,397,5,41,0,0,397,398,6,20,-1,0,398,880,1,0,0,0,399,400,5,48,0,0,400, - 401,3,34,17,0,401,402,5,41,0,0,402,403,6,20,-1,0,403,880,1,0,0,0,404,405, - 5,49,0,0,405,406,3,34,17,0,406,407,5,41,0,0,407,408,6,20,-1,0,408,880, - 1,0,0,0,409,410,5,50,0,0,410,411,3,34,17,0,411,412,5,41,0,0,412,413,6, - 20,-1,0,413,880,1,0,0,0,414,415,5,51,0,0,415,416,3,34,17,0,416,417,5,41, - 0,0,417,418,6,20,-1,0,418,880,1,0,0,0,419,420,5,52,0,0,420,421,3,34,17, - 0,421,422,5,41,0,0,422,423,6,20,-1,0,423,880,1,0,0,0,424,425,5,53,0,0, - 425,426,3,34,17,0,426,427,5,41,0,0,427,428,6,20,-1,0,428,880,1,0,0,0,429, - 430,5,54,0,0,430,431,3,34,17,0,431,432,5,41,0,0,432,433,6,20,-1,0,433, - 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20,-1,0,880,882,1,0,0,0,881,317,1,0,0,0,881,319,1,0,0,0,881,321,1,0,0, + 0,881,323,1,0,0,0,881,325,1,0,0,0,881,327,1,0,0,0,881,329,1,0,0,0,881, + 331,1,0,0,0,881,336,1,0,0,0,881,341,1,0,0,0,881,346,1,0,0,0,881,351,1, + 0,0,0,881,356,1,0,0,0,881,361,1,0,0,0,881,366,1,0,0,0,881,371,1,0,0,0, + 881,376,1,0,0,0,881,381,1,0,0,0,881,386,1,0,0,0,881,391,1,0,0,0,881,396, + 1,0,0,0,881,401,1,0,0,0,881,406,1,0,0,0,881,411,1,0,0,0,881,416,1,0,0, + 0,881,421,1,0,0,0,881,426,1,0,0,0,881,431,1,0,0,0,881,436,1,0,0,0,881, + 441,1,0,0,0,881,446,1,0,0,0,881,451,1,0,0,0,881,456,1,0,0,0,881,461,1, + 0,0,0,881,466,1,0,0,0,881,471,1,0,0,0,881,476,1,0,0,0,881,481,1,0,0,0, + 881,486,1,0,0,0,881,491,1,0,0,0,881,496,1,0,0,0,881,501,1,0,0,0,881,506, + 1,0,0,0,881,511,1,0,0,0,881,516,1,0,0,0,881,521,1,0,0,0,881,526,1,0,0, + 0,881,531,1,0,0,0,881,536,1,0,0,0,881,541,1,0,0,0,881,546,1,0,0,0,881, + 551,1,0,0,0,881,556,1,0,0,0,881,561,1,0,0,0,881,566,1,0,0,0,881,571,1, + 0,0,0,881,576,1,0,0,0,881,581,1,0,0,0,881,586,1,0,0,0,881,591,1,0,0,0, + 881,596,1,0,0,0,881,601,1,0,0,0,881,606,1,0,0,0,881,611,1,0,0,0,881,616, + 1,0,0,0,881,621,1,0,0,0,881,626,1,0,0,0,881,631,1,0,0,0,881,636,1,0,0, + 0,881,641,1,0,0,0,881,646,1,0,0,0,881,651,1,0,0,0,881,656,1,0,0,0,881, + 661,1,0,0,0,881,666,1,0,0,0,881,671,1,0,0,0,881,676,1,0,0,0,881,681,1, + 0,0,0,881,686,1,0,0,0,881,691,1,0,0,0,881,696,1,0,0,0,881,701,1,0,0,0, + 881,706,1,0,0,0,881,711,1,0,0,0,881,716,1,0,0,0,881,721,1,0,0,0,881,726, + 1,0,0,0,881,731,1,0,0,0,881,736,1,0,0,0,881,741,1,0,0,0,881,746,1,0,0, + 0,881,751,1,0,0,0,881,756,1,0,0,0,881,761,1,0,0,0,881,766,1,0,0,0,881, + 771,1,0,0,0,881,776,1,0,0,0,881,781,1,0,0,0,881,786,1,0,0,0,881,791,1, + 0,0,0,881,796,1,0,0,0,881,801,1,0,0,0,881,806,1,0,0,0,881,811,1,0,0,0, + 881,816,1,0,0,0,881,821,1,0,0,0,881,826,1,0,0,0,881,831,1,0,0,0,881,836, + 1,0,0,0,881,841,1,0,0,0,881,846,1,0,0,0,881,851,1,0,0,0,881,856,1,0,0, + 0,881,861,1,0,0,0,881,866,1,0,0,0,881,871,1,0,0,0,881,876,1,0,0,0,882, + 41,1,0,0,0,883,884,3,32,16,0,884,885,5,0,0,1,885,886,6,21,-1,0,886,43, + 1,0,0,0,31,51,59,67,69,76,86,96,101,117,119,132,134,147,149,170,172,183, + 200,207,223,235,237,248,261,263,276,278,287,300,303,881 }; public static readonly ATN _ATN = diff --git a/Sources/AngouriMath/Docs/Usage/Syntax.md b/Sources/AngouriMath/Docs/Usage/Syntax.md index df37cf737..af2d04094 100644 --- a/Sources/AngouriMath/Docs/Usage/Syntax.md +++ b/Sources/AngouriMath/Docs/Usage/Syntax.md @@ -52,7 +52,11 @@ truncates instead; it is a different operation and the library does not inherit ## Numbers and constants -`1`, `1.5`, `1/2`, `1e-9`, `i`, `e`, `pi`, `+oo`, `-oo`, `true`, `false`. +`1`, `1.5`, `1/2`, `1e-9`, `i`, `e`, `pi`, `+oo`, `-oo`, `NaN`, `true`, `false`. + +`NaN` is the value an undefined computation gives — `0/0` and `1/0` both reach it — and it is +spelled exactly that way, since only the exact word is reserved. A longer name containing it, such +as `NaNx` or `NaN_1`, is still a variable, because the lexer takes the longest match. A variable is a letter or `_` followed by letters, digits or `_`, and Greek letters are letters. Juxtaposition is multiplication, so `2x` is `2 * x` — which is also why an unknown function name diff --git a/Sources/Tests/UnitTests/Convenience/StringizeRoundTripTest.cs b/Sources/Tests/UnitTests/Convenience/StringizeRoundTripTest.cs index 82a79e772..f2507b5ec 100644 --- a/Sources/Tests/UnitTests/Convenience/StringizeRoundTripTest.cs +++ b/Sources/Tests/UnitTests/Convenience/StringizeRoundTripTest.cs @@ -7,6 +7,9 @@ using AngouriMath; using AngouriMath.Extensions; +using System.Collections.Generic; +using System.Linq; +using System.Reflection; using Xunit; namespace AngouriMath.Tests.Common @@ -193,5 +196,89 @@ public void AnEvaluatedComplexNumberRoundTrips(string source) var value = source.ToEntity().Evaled; Assert.Equal(value, value.Stringize().ToEntity().Evaled); } + + /// + /// Every value the library hands out as a named constant, printed and read back. + /// + /// + /// This is the round trip taken from the other end, and the direction the rest of this + /// class structurally cannot see: every case above starts from a **string**, so it can only + /// reach expressions the parser already produces. A value with no source form is invisible + /// to all of them, however many cases are added. + /// + /// That is how NaN went unnoticed. It printed as NaN, the grammar had no such + /// token, so reading it back gave a variable of that name -- which then cancelled + /// and collected like any symbol, making NaN - NaN into 0 and + /// NaN / NaN into 1 provided not NaN = 0. Nothing on the page distinguished + /// the two, since a variable named NaN prints as NaN as well. + /// https://github.com/asc-community/AngouriMath/issues/906 + /// + /// Enumerated by reflection rather than written out, so that a constant added to + /// or to later is covered without + /// anyone remembering this file exists. The names are the test data rather than the values, + /// because xUnit wants its data serializable and an is not. + /// + public static IEnumerable NamedConstants() => + ConstantsByName.Keys.Select(name => new object[] { name }); + + private static readonly IReadOnlyDictionary ConstantsByName = + new[] { typeof(MathS), typeof(Entity.Number.Real) } + .SelectMany(type => type.GetFields(BindingFlags.Public | BindingFlags.Static)) + .Where(field => typeof(Entity).IsAssignableFrom(field.FieldType)) + .ToDictionary(field => field.DeclaringType!.Name + "." + field.Name, + field => (Entity)field.GetValue(null)!); + + [Theory] + [MemberData(nameof(NamedConstants))] + public void ANamedConstantRoundTrips(string name) + { + var constant = ConstantsByName[name]; + var printed = constant.Stringize(); + Assert.Equal(constant, printed.ToEntity()); + } + + /// + /// And the same for what those constants evaluate to, since a constant may print one way + /// and its value another -- MathS.oo is a already, + /// but pi and e are variables that carry a numeric value. + /// + [Theory] + [MemberData(nameof(NamedConstants))] + public void AnEvaluatedNamedConstantRoundTrips(string name) + { + var value = ConstantsByName[name].Evaled; + Assert.Equal(value, value.Stringize().ToEntity().Evaled); + } + + /// + /// The three non-finite reals together, since they are one family and only one of them was + /// broken. Written out as well as enumerated above, because these are the values a caller + /// meets by computing rather than by naming: 0/0 and 1/0 reach NaN, and a + /// divergent limit reaches an infinity. + /// + [Theory] + [InlineData("0/0")] + [InlineData("1/0")] + [InlineData("-1/0")] + [InlineData("+oo")] + [InlineData("-oo")] + [InlineData("+oo - +oo")] + [InlineData("1/0 + 1")] + public void ANonFiniteValueRoundTrips(string source) + { + var value = source.ToEntity().Evaled; + Assert.Equal(value, value.Stringize().ToEntity().Evaled); + } + + /// + /// Reserving the word costs the identifier, and only the exact spelling: a longer name that + /// merely starts with it is still a variable, because the lexer takes the longest match. + /// + [Theory] + [InlineData("NaNx")] + [InlineData("NaN_1")] + [InlineData("aNaN")] + public void AWordContainingTheTokenIsStillAVariable(string source) => + Assert.IsType(source.ToEntity()); } }