From 2af815c94a7b6726367ff87f199651b562a4401f Mon Sep 17 00:00:00 2001 From: Rafael Vuijk Date: Wed, 28 Oct 2026 17:44:11 +0000 Subject: [PATCH] The names of functions to come are refused by name An unknown name followed by a bracket is read as a product, so zeta(2) was zeta * 2 and simplified to 2 * zeta, silently. #2182 registers the functions the library is to have, named by what a mathematician calls them, and their long names are now refused until each is implemented, as trunc is: zeta, riemannzeta and hurwitzzeta, lambertw and productlog, mobius and moebiusmu, divisorsigma, primenu, primeomega, primepi, harmonicnumber, catalannumber, multinomial, fallingfactorial and factorialpower, risingfactorial, forwarddifference, laplacian, jacobian and hessian. Names that will not be functions are refused with the spelling to use, as NN is with ZZ+ and ZZ*. heaviside's value at 0 is 0, 1/2 or 1 by source, so it points to iverson(x > 0), iverson(x >= 0) and (1 + sgn(x))/2, and unitstep to iverson(x >= 0). isprime(n) is n in PP, fractionalpart(x) is x mod 1, quotient(a, b) is floor(a / b), the double factorial is to be the postfix n!!, and pochhammer is the rising factorial to some authors and the falling one to others. Each name without a bracket is still a variable, and short names such as beta and norm are still read as products. Part of #2182. Co-Authored-By: Claude Opus 5.5 (1M context) Claude-Session: https://claude.ai/code/session_012sonx8iAspMiwRwokT1Ura --- BREAKING-CHANGES.md | 20 + Sources/AngouriMath/Core/Antlr/AngouriMath.g | 44 + .../AngouriMath/Core/Antlr/AngouriMath.interp | 60 +- .../AngouriMath/Core/Antlr/AngouriMath.tokens | 84 +- .../Core/Antlr/AngouriMathLexer.cs | 1341 +++++++++-------- .../Core/Antlr/AngouriMathLexer.interp | 89 +- .../Core/Antlr/AngouriMathLexer.tokens | 84 +- .../Core/Antlr/AngouriMathParser.cs | 1331 +++++++++++----- Sources/AngouriMath/Docs/Usage/Syntax.md | 20 +- Sources/MCP/AngouriMath.Mcp/Resources.cs | 3 +- .../MissingFunctionNamesRefusedTest.cs | 39 + 11 files changed, 2116 insertions(+), 999 deletions(-) diff --git a/BREAKING-CHANGES.md b/BREAKING-CHANGES.md index 375b62dba..c9fda4364 100644 --- a/BREAKING-CHANGES.md +++ b/BREAKING-CHANGES.md @@ -420,6 +420,26 @@ the right shape, written out or once its operations are carried out, throws `Inv | `"dot([1, 2], [3, 4])".ToEntity()` | throws `UnhandledParseException` | `1 * 3 + 2 * 4` | | `"resultant(x^2 - 1, x - a, x)".ToEntity()` | throws `UnhandledParseException` | `a ^ 2 - 1` | +### The names of functions to come are refused by name + +**Not silent: these names followed by a bracket now throw `UnrecognizedFunctionParseException` where they were read as +products.** An unknown name followed by a bracket is a product, so `zeta(2)` was `zeta * 2` and simplified to +`2 * zeta`. The long names of the functions the library is to have are refused until each is implemented, as `trunc` +is: `zeta`, `riemannzeta`, `hurwitzzeta`, `lambertw`, `productlog`, `mobius`, `moebiusmu`, `divisorsigma`, `primenu`, +`primeomega`, `primepi`, `harmonicnumber`, `catalannumber`, `multinomial`, `fallingfactorial`, `factorialpower`, +`risingfactorial`, `forwarddifference`, `laplacian`, `jacobian` and `hessian`. Names that will not be functions, +because what they mean differs between sources or is already written exactly, are refused with the spelling to use: +`heaviside`, `unitstep`, `isprime`, `pochhammer`, `doublefactorial`, `factorial2`, `fractionalpart` and `quotient`. +Each name without a bracket is still a variable, and short names such as `beta` and `norm` are still read as products +([#2182](https://github.com/asc-community/AngouriMath/issues/2182)). + +| Input | Was (2.6.0) | Now | +|---|---|---| +| `"zeta(s)".ToEntity()` | `zeta * s` | throws `UnrecognizedFunctionParseException` | +| `"zeta(2)".ToEntity().Simplify()` | `2 * zeta` | throws `UnrecognizedFunctionParseException` | +| `"isprime(7)".ToEntity()` | `isprime * 7` | throws `UnrecognizedFunctionParseException`: write `n in PP` | +| `"heaviside(x)".ToEntity()` | `heaviside * x` | throws `UnrecognizedFunctionParseException`: write `iverson(x > 0)`, `iverson(x >= 0)` or `(1 + sgn(x))/2` | +| `"divisorsigma(k, n)".ToEntity()` | throws `UnhandledParseException` | throws `UnrecognizedFunctionParseException` | ### A subscript may have a subscript **Not silent: what was a parse error is a name.** A name took at most one `_`, so `x_1_2` and `X_a_beta` were lexer diff --git a/Sources/AngouriMath/Core/Antlr/AngouriMath.g b/Sources/AngouriMath/Core/Antlr/AngouriMath.g index 09392dc11..baf3ae0b0 100644 --- a/Sources/AngouriMath/Core/Antlr/AngouriMath.g +++ b/Sources/AngouriMath/Core/Antlr/AngouriMath.g @@ -56,6 +56,14 @@ options $"there is no function {name}: AngouriMath has no {what}. It is refused by name " + $"rather than read as the product of a variable named {name} with its argument, " + $"which is what an unknown name followed by a bracket would otherwise mean"); + + // A name that will not be a function, because what it means is ambiguous or is already + // written exactly another way, refused with the spelling to use, as NN is refused with ZZ+ + // and ZZ*. https://github.com/asc-community/AngouriMath/issues/2182 + static Entity NotAFunctionHere(string name, string instead) + => throw new UnrecognizedFunctionParseException( + $"{name} is not a function in AngouriMath: {instead}. It is refused by name rather " + + $"than read as the product of a variable named {name} with its argument"); } @namespace { Antlr } @@ -658,6 +666,42 @@ atom returns[Entity value] between a missing function and a wrong answer. */ | 'trunc(' args = function_arguments ')' { $value = NotImplementedFunction("trunc", "rounding functions"); } + /* Names of functions to come, reserved so that each is refused rather than read as a + product until it is implemented: zeta(s) was zeta * s. Only names no one writes as a + variable before a bracket; beta, norm, grad, div, curl and the other short ones are left + as products until each lands. The names and their conventions are in + https://github.com/asc-community/AngouriMath/issues/2182 */ + | 'zeta(' args = function_arguments ')' { $value = NotImplementedFunction("zeta", "Riemann or Hurwitz zeta function yet"); } + | 'riemannzeta(' args = function_arguments ')' { $value = NotImplementedFunction("riemannzeta", "Riemann zeta function yet"); } + | 'hurwitzzeta(' args = function_arguments ')' { $value = NotImplementedFunction("hurwitzzeta", "Hurwitz zeta function yet"); } + | 'lambertw(' args = function_arguments ')' { $value = NotImplementedFunction("lambertw", "Lambert W function yet"); } + | 'productlog(' args = function_arguments ')' { $value = NotImplementedFunction("productlog", "Lambert W function yet"); } + | 'mobius(' args = function_arguments ')' { $value = NotImplementedFunction("mobius", "Mobius function yet"); } + | 'moebiusmu(' args = function_arguments ')' { $value = NotImplementedFunction("moebiusmu", "Mobius function yet"); } + | 'divisorsigma(' args = function_arguments ')' { $value = NotImplementedFunction("divisorsigma", "divisor function yet"); } + | 'primenu(' args = function_arguments ')' { $value = NotImplementedFunction("primenu", "count of distinct prime factors yet"); } + | 'primeomega(' args = function_arguments ')' { $value = NotImplementedFunction("primeomega", "count of prime factors with multiplicity yet"); } + | 'primepi(' args = function_arguments ')' { $value = NotImplementedFunction("primepi", "prime-counting function yet"); } + | 'harmonicnumber(' args = function_arguments ')' { $value = NotImplementedFunction("harmonicnumber", "harmonic numbers yet"); } + | 'catalannumber(' args = function_arguments ')' { $value = NotImplementedFunction("catalannumber", "Catalan numbers yet"); } + | 'multinomial(' args = function_arguments ')' { $value = NotImplementedFunction("multinomial", "multinomial coefficients yet"); } + | 'fallingfactorial(' args = function_arguments ')' { $value = NotImplementedFunction("fallingfactorial", "falling factorial yet"); } + | 'factorialpower(' args = function_arguments ')' { $value = NotImplementedFunction("factorialpower", "falling factorial yet"); } + | 'risingfactorial(' args = function_arguments ')' { $value = NotImplementedFunction("risingfactorial", "rising factorial yet"); } + | 'forwarddifference(' args = function_arguments ')' { $value = NotImplementedFunction("forwarddifference", "forward difference yet"); } + | 'laplacian(' args = function_arguments ')' { $value = NotImplementedFunction("laplacian", "Laplacian yet"); } + | 'jacobian(' args = function_arguments ')' { $value = NotImplementedFunction("jacobian", "Jacobian yet"); } + | 'hessian(' args = function_arguments ')' { $value = NotImplementedFunction("hessian", "Hessian yet"); } + /* Names that will not be functions, refused with the spelling to use: what they mean is + ambiguous between sources, or is already written exactly another way. */ + | 'heaviside(' args = function_arguments ')' { $value = NotAFunctionHere("heaviside", "its value at 0 is 0, 1/2 or 1 by source; write iverson(x > 0), iverson(x >= 0) or (1 + sgn(x))/2"); } + | 'unitstep(' args = function_arguments ')' { $value = NotAFunctionHere("unitstep", "write iverson(x >= 0), which is 1 at 0"); } + | 'isprime(' args = function_arguments ')' { $value = NotAFunctionHere("isprime", "write n in PP"); } + | 'pochhammer(' args = function_arguments ')' { $value = NotAFunctionHere("pochhammer", "(x)_n is the rising factorial to some and the falling one to others; write risingfactorial or fallingfactorial"); } + | 'doublefactorial(' args = function_arguments ')' { $value = NotAFunctionHere("doublefactorial", "the double factorial is to be the postfix n!!, which is not implemented yet"); } + | 'factorial2(' args = function_arguments ')' { $value = NotAFunctionHere("factorial2", "the double factorial is to be the postfix n!!, which is not implemented yet"); } + | 'fractionalpart(' args = function_arguments ')' { $value = NotAFunctionHere("fractionalpart", "write x mod 1, which is in [0, 1)"); } + | 'quotient(' args = function_arguments ')' { $value = NotAFunctionHere("quotient", "write floor(a / b)"); } | 'domain(' args = function_arguments ')' { Assert("domain", 2, $args.list.Count); diff --git a/Sources/AngouriMath/Core/Antlr/AngouriMath.interp b/Sources/AngouriMath/Core/Antlr/AngouriMath.interp index e820fc8b1..e096eda6a 100644 --- a/Sources/AngouriMath/Core/Antlr/AngouriMath.interp +++ b/Sources/AngouriMath/Core/Antlr/AngouriMath.interp @@ -194,6 +194,35 @@ null 'im(' 'imag(' 'trunc(' +'zeta(' +'riemannzeta(' +'hurwitzzeta(' +'lambertw(' +'productlog(' +'mobius(' +'moebiusmu(' +'divisorsigma(' +'primenu(' +'primeomega(' +'primepi(' +'harmonicnumber(' +'catalannumber(' +'multinomial(' +'fallingfactorial(' +'factorialpower(' +'risingfactorial(' +'forwarddifference(' +'laplacian(' +'jacobian(' +'hessian(' +'heaviside(' +'unitstep(' +'isprime(' +'pochhammer(' +'doublefactorial(' +'factorial2(' +'fractionalpart(' +'quotient(' 'domain(' 'piecewise(' 'apply(' @@ -407,6 +436,35 @@ 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 @@ -446,4 +504,4 @@ statement atn: -[4, 1, 206, 1216, 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, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 3, 0, 60, 8, 0, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 66, 8, 1, 11, 1, 12, 1, 67, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 74, 8, 1, 11, 1, 12, 1, 75, 3, 1, 78, 8, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 3, 2, 85, 8, 2, 1, 3, 1, 3, 1, 3, 1, 3, 1, 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1329, 1, 0, 0, 0, 1354, 1334, 1, 0, 0, 0, 1354, 1339, 1, 0, 0, 0, 1354, 1344, 1, 0, 0, 0, 1354, 1349, 1, 0, 0, 0, 1355, 49, 1, 0, 0, 0, 1356, 1357, 3, 32, 16, 0, 1357, 1358, 5, 0, 0, 1, 1358, 1359, 6, 25, -1, 0, 1359, 51, 1, 0, 0, 0, 44, 59, 67, 75, 77, 84, 94, 104, 109, 119, 129, 131, 144, 150, 152, 167, 169, 190, 192, 225, 227, 246, 253, 262, 281, 297, 299, 312, 314, 327, 329, 346, 348, 357, 365, 370, 384, 394, 407, 410, 417, 425, 429, 432, 1354] \ No newline at end of file diff --git a/Sources/AngouriMath/Core/Antlr/AngouriMath.tokens b/Sources/AngouriMath/Core/Antlr/AngouriMath.tokens index 93e126363..23ae43fa3 100644 --- a/Sources/AngouriMath/Core/Antlr/AngouriMath.tokens +++ b/Sources/AngouriMath/Core/Antlr/AngouriMath.tokens @@ -196,14 +196,43 @@ T__194=195 T__195=196 T__196=197 T__197=198 -NEWLINE=199 -NUMBER=200 -SPECIALSET=201 -BOOLEAN=202 -NAN=203 -VARIABLE=204 -COMMENT=205 -WS=206 +T__198=199 +T__199=200 +T__200=201 +T__201=202 +T__202=203 +T__203=204 +T__204=205 +T__205=206 +T__206=207 +T__207=208 +T__208=209 +T__209=210 +T__210=211 +T__211=212 +T__212=213 +T__213=214 +T__214=215 +T__215=216 +T__216=217 +T__217=218 +T__218=219 +T__219=220 +T__220=221 +T__221=222 +T__222=223 +T__223=224 +T__224=225 +T__225=226 +T__226=227 +NEWLINE=228 +NUMBER=229 +SPECIALSET=230 +BOOLEAN=231 +NAN=232 +VARIABLE=233 +COMMENT=234 +WS=235 '!'=1 '^'=2 '-'=3 @@ -398,8 +427,37 @@ WS=206 'im('=192 'imag('=193 'trunc('=194 -'domain('=195 -'piecewise('=196 -'apply('=197 -'lambda('=198 -'NaN'=203 +'zeta('=195 +'riemannzeta('=196 +'hurwitzzeta('=197 +'lambertw('=198 +'productlog('=199 +'mobius('=200 +'moebiusmu('=201 +'divisorsigma('=202 +'primenu('=203 +'primeomega('=204 +'primepi('=205 +'harmonicnumber('=206 +'catalannumber('=207 +'multinomial('=208 +'fallingfactorial('=209 +'factorialpower('=210 +'risingfactorial('=211 +'forwarddifference('=212 +'laplacian('=213 +'jacobian('=214 +'hessian('=215 +'heaviside('=216 +'unitstep('=217 +'isprime('=218 +'pochhammer('=219 +'doublefactorial('=220 +'factorial2('=221 +'fractionalpart('=222 +'quotient('=223 +'domain('=224 +'piecewise('=225 +'apply('=226 +'lambda('=227 +'NaN'=232 diff --git a/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.cs b/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.cs index 9d0c22b2b..cfee9883f 100644 --- a/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.cs +++ b/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.cs @@ -64,8 +64,13 @@ public const int T__179=180, T__180=181, T__181=182, T__182=183, T__183=184, T__184=185, T__185=186, T__186=187, T__187=188, T__188=189, T__189=190, T__190=191, T__191=192, T__192=193, T__193=194, T__194=195, T__195=196, T__196=197, - T__197=198, NEWLINE=199, NUMBER=200, SPECIALSET=201, BOOLEAN=202, NAN=203, - VARIABLE=204, COMMENT=205, WS=206; + T__197=198, T__198=199, T__199=200, T__200=201, T__201=202, T__202=203, + T__203=204, T__204=205, T__205=206, T__206=207, T__207=208, T__208=209, + T__209=210, T__210=211, T__211=212, T__212=213, T__213=214, T__214=215, + T__215=216, T__216=217, T__217=218, T__218=219, T__219=220, T__220=221, + T__221=222, T__222=223, T__223=224, T__224=225, T__225=226, T__226=227, + NEWLINE=228, NUMBER=229, SPECIALSET=230, BOOLEAN=231, NAN=232, VARIABLE=233, + COMMENT=234, WS=235; public static string[] channelNames = { "DEFAULT_TOKEN_CHANNEL", "HIDDEN" }; @@ -101,8 +106,12 @@ public const int "T__175", "T__176", "T__177", "T__178", "T__179", "T__180", "T__181", "T__182", "T__183", "T__184", "T__185", "T__186", "T__187", "T__188", "T__189", "T__190", "T__191", "T__192", "T__193", "T__194", "T__195", - "T__196", "T__197", "NEWLINE", "EXPONENT", "NUMBER", "SPECIALSET", "BOOLEAN", - "NAN", "VARIABLE", "COMMENT", "WS" + "T__196", "T__197", "T__198", "T__199", "T__200", "T__201", "T__202", + "T__203", "T__204", "T__205", "T__206", "T__207", "T__208", "T__209", + "T__210", "T__211", "T__212", "T__213", "T__214", "T__215", "T__216", + "T__217", "T__218", "T__219", "T__220", "T__221", "T__222", "T__223", + "T__224", "T__225", "T__226", "NEWLINE", "EXPONENT", "NUMBER", "SPECIALSET", + "BOOLEAN", "NAN", "VARIABLE", "COMMENT", "WS" }; @@ -152,8 +161,14 @@ public AngouriMathLexer(ICharStream input, TextWriter output, TextWriter errorOu "'polygamma('", "'digamma('", "'Si('", "'Ci('", "'Shi('", "'Chi('", "'det('", "'transpose('", "'dot('", "'cross('", "'resultant('", "'conjugate('", "'conj('", "'arg('", "'Re('", "'Im('", "'re('", "'real('", "'im('", "'imag('", - "'trunc('", "'domain('", "'piecewise('", "'apply('", "'lambda('", null, - null, null, null, "'NaN'" + "'trunc('", "'zeta('", "'riemannzeta('", "'hurwitzzeta('", "'lambertw('", + "'productlog('", "'mobius('", "'moebiusmu('", "'divisorsigma('", "'primenu('", + "'primeomega('", "'primepi('", "'harmonicnumber('", "'catalannumber('", + "'multinomial('", "'fallingfactorial('", "'factorialpower('", "'risingfactorial('", + "'forwarddifference('", "'laplacian('", "'jacobian('", "'hessian('", "'heaviside('", + "'unitstep('", "'isprime('", "'pochhammer('", "'doublefactorial('", "'factorial2('", + "'fractionalpart('", "'quotient('", "'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, @@ -172,8 +187,11 @@ public AngouriMathLexer(ICharStream input, TextWriter output, TextWriter errorOu null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, - null, null, null, null, null, null, null, "NEWLINE", "NUMBER", "SPECIALSET", - "BOOLEAN", "NAN", "VARIABLE", "COMMENT", "WS" + null, null, null, null, null, null, null, null, null, null, null, null, + null, null, null, null, null, null, null, null, null, null, null, null, + null, null, null, null, null, null, null, null, null, null, null, null, + "NEWLINE", "NUMBER", "SPECIALSET", "BOOLEAN", "NAN", "VARIABLE", "COMMENT", + "WS" }; public static readonly IVocabulary DefaultVocabulary = new Vocabulary(_LiteralNames, _SymbolicNames); @@ -203,7 +221,7 @@ static AngouriMathLexer() { } } private static int[] _serializedATN = { - 4,0,206,1766,6,-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, + 4,0,235,2182,6,-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, @@ -235,584 +253,733 @@ static AngouriMathLexer() { 7,188,2,189,7,189,2,190,7,190,2,191,7,191,2,192,7,192,2,193,7,193,2,194, 7,194,2,195,7,195,2,196,7,196,2,197,7,197,2,198,7,198,2,199,7,199,2,200, 7,200,2,201,7,201,2,202,7,202,2,203,7,203,2,204,7,204,2,205,7,205,2,206, - 7,206,1,0,1,0,1,1,1,1,1,2,1,2,1,3,1,3,1,4,1,4,1,5,1,5,1,5,1,5,1,6,1,6, - 1,7,1,7,1,8,1,8,1,8,1,8,1,9,1,9,1,9,1,9,1,9,1,9,1,9,1,9,1,9,1,9,1,10,1, - 10,1,10,1,11,1,11,1,11,1,11,1,11,1,11,1,12,1,12,1,12,1,13,1,13,1,13,1, - 13,1,13,1,13,1,13,1,13,1,13,1,13,1,13,1,13,1,14,1,14,1,15,1,15,1,15,1, - 16,1,16,1,16,1,16,1,16,1,16,1,16,1,17,1,17,1,18,1,18,1,18,1,18,1,18,1, - 18,1,18,1,18,1,18,1,19,1,19,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1,20,1, - 21,1,21,1,22,1,22,1,22,1,23,1,23,1,23,1,24,1,24,1,25,1,25,1,26,1,26,1, - 27,1,27,1,27,1,28,1,28,1,29,1,29,1,30,1,30,1,31,1,31,1,31,1,31,1,32,1, - 32,1,32,1,32,1,33,1,33,1,34,1,34,1,34,1,34,1,35,1,35,1,35,1,36,1,36,1, - 36,1,36,1,36,1,36,1,36,1,36,1,37,1,37,1,37,1,38,1,38,1,38,1,38,1,38,1, - 38,1,38,1,38,1,38,1,39,1,39,1,39,1,40,1,40,1,41,1,41,1,41,1,41,1,41,1, - 41,1,41,1,42,1,42,1,43,1,43,1,43,1,43,1,43,1,43,1,43,1,43,1,44,1,44,1, - 44,1,45,1,45,1,45,1,45,1,45,1,45,1,45,1,46,1,46,1,47,1,47,1,48,1,48,1, - 49,1,49,1,49,1,49,1,50,1,50,1,50,1,50,1,51,1,51,1,51,1,52,1,52,1,52,1, - 53,1,53,1,54,1,54,1,55,1,55,1,55,1,56,1,56,1,57,1,57,1,58,1,58,1,59,1, - 59,1,59,1,59,1,59,1,60,1,60,1,60,1,60,1,60,1,60,1,60,1,61,1,61,1,61,1, - 61,1,61,1,61,1,62,1,62,1,62,1,62,1,62,1,63,1,63,1,63,1,63,1,63,1,63,1, - 64,1,64,1,64,1,64,1,64,1,64,1,65,1,65,1,65,1,65,1,65,1,66,1,66,1,66,1, - 66,1,67,1,67,1,67,1,67,1,67,1,68,1,68,1,68,1,68,1,68,1,69,1,69,1,69,1, - 69,1,69,1,70,1,70,1,70,1,70,1,70,1,71,1,71,1,71,1,71,1,71,1,71,1,71,1, - 72,1,72,1,72,1,72,1,72,1,73,1,73,1,73,1,73,1,73,1,74,1,74,1,74,1,74,1, - 74,1,74,1,74,1,75,1,75,1,75,1,75,1,75,1,76,1,76,1,76,1,76,1,76,1,76,1, - 76,1,76,1,77,1,77,1,77,1,77,1,77,1,77,1,77,1,77,1,78,1,78,1,78,1,78,1, - 78,1,78,1,78,1,78,1,79,1,79,1,79,1,79,1,79,1,79,1,79,1,79,1,79,1,79,1, - 80,1,80,1,80,1,80,1,80,1,80,1,80,1,80,1,81,1,81,1,81,1,81,1,81,1,81,1, - 81,1,81,1,81,1,81,1,82,1,82,1,82,1,82,1,82,1,82,1,82,1,82,1,83,1,83,1, - 83,1,83,1,83,1,83,1,84,1,84,1,84,1,84,1,84,1,84,1,85,1,85,1,85,1,85,1, - 85,1,85,1,86,1,86,1,86,1,86,1,86,1,86,1,87,1,87,1,87,1,87,1,87,1,87,1, - 87,1,87,1,88,1,88,1,88,1,88,1,88,1,88,1,89,1,89,1,89,1,89,1,89,1,89,1, - 89,1,89,1,90,1,90,1,90,1,90,1,90,1,90,1,91,1,91,1,91,1,91,1,91,1,91,1, - 91,1,91,1,92,1,92,1,92,1,92,1,92,1,92,1,93,1,93,1,93,1,93,1,94,1,94,1, - 94,1,94,1,94,1,94,1,95,1,95,1,95,1,95,1,96,1,96,1,96,1,96,1,96,1,96,1, - 97,1,97,1,97,1,97,1,98,1,98,1,98,1,98,1,98,1,98,1,98,1,98,1,99,1,99,1, - 99,1,99,1,99,1,99,1,100,1,100,1,100,1,100,1,100,1,101,1,101,1,101,1,101, - 1,101,1,101,1,102,1,102,1,102,1,102,1,102,1,103,1,103,1,103,1,103,1,103, - 1,103,1,103,1,103,1,104,1,104,1,104,1,104,1,104,1,104,1,105,1,105,1,105, - 1,105,1,105,1,105,1,105,1,106,1,106,1,106,1,106,1,106,1,106,1,106,1,106, - 1,107,1,107,1,107,1,107,1,107,1,107,1,108,1,108,1,108,1,108,1,108,1,108, - 1,108,1,108,1,108,1,109,1,109,1,109,1,109,1,109,1,109,1,109,1,110,1,110, - 1,110,1,110,1,110,1,110,1,110,1,110,1,111,1,111,1,111,1,111,1,111,1,111, - 1,112,1,112,1,112,1,112,1,112,1,112,1,112,1,112,1,112,1,113,1,113,1,113, - 1,113,1,113,1,113,1,113,1,114,1,114,1,114,1,114,1,114,1,114,1,114,1,114, - 1,115,1,115,1,115,1,115,1,115,1,115,1,116,1,116,1,116,1,116,1,116,1,116, - 1,116,1,116,1,116,1,117,1,117,1,117,1,117,1,117,1,117,1,117,1,118,1,118, - 1,118,1,118,1,118,1,118,1,118,1,118,1,119,1,119,1,119,1,119,1,119,1,119, - 1,119,1,119,1,119,1,120,1,120,1,120,1,120,1,120,1,120,1,120,1,120,1,120, - 1,120,1,121,1,121,1,121,1,121,1,121,1,121,1,121,1,122,1,122,1,122,1,122, - 1,122,1,122,1,122,1,122,1,122,1,122,1,122,1,123,1,123,1,123,1,123,1,123, - 1,123,1,123,1,124,1,124,1,124,1,124,1,124,1,124,1,124,1,124,1,125,1,125, - 1,125,1,125,1,125,1,125,1,125,1,126,1,126,1,126,1,126,1,126,1,126,1,126, - 1,126,1,126,1,127,1,127,1,127,1,127,1,127,1,127,1,127,1,127,1,127,1,128, - 1,128,1,128,1,128,1,128,1,128,1,128,1,128,1,128,1,128,1,129,1,129,1,129, - 1,129,1,129,1,129,1,129,1,129,1,130,1,130,1,130,1,130,1,130,1,130,1,130, - 1,130,1,130,1,130,1,130,1,131,1,131,1,131,1,131,1,131,1,131,1,131,1,132, - 1,132,1,132,1,132,1,132,1,132,1,132,1,132,1,132,1,132,1,132,1,133,1,133, - 1,133,1,133,1,133,1,133,1,133,1,134,1,134,1,134,1,134,1,134,1,134,1,134, - 1,134,1,134,1,134,1,134,1,134,1,135,1,135,1,135,1,135,1,135,1,135,1,135, - 1,135,1,135,1,135,1,136,1,136,1,136,1,136,1,136,1,136,1,136,1,137,1,137, - 1,137,1,137,1,137,1,137,1,137,1,137,1,137,1,137,1,137,1,138,1,138,1,138, - 1,138,1,138,1,138,1,138,1,138,1,138,1,138,1,138,1,138,1,139,1,139,1,139, - 1,139,1,139,1,140,1,140,1,140,1,140,1,140,1,140,1,140,1,140,1,140,1,141, - 1,141,1,141,1,141,1,141,1,141,1,141,1,141,1,142,1,142,1,142,1,142,1,142, - 1,143,1,143,1,143,1,143,1,143,1,143,1,144,1,144,1,144,1,144,1,144,1,145, - 1,145,1,145,1,145,1,145,1,146,1,146,1,146,1,146,1,146,1,146,1,146,1,147, - 1,147,1,147,1,147,1,147,1,147,1,147,1,147,1,147,1,147,1,147,1,148,1,148, - 1,148,1,148,1,148,1,148,1,149,1,149,1,149,1,149,1,149,1,149,1,149,1,149, - 1,149,1,149,1,150,1,150,1,150,1,150,1,150,1,150,1,150,1,151,1,151,1,151, - 1,151,1,151,1,151,1,151,1,151,1,151,1,151,1,151,1,151,1,151,1,151,1,152, - 1,152,1,152,1,152,1,152,1,152,1,152,1,152,1,152,1,152,1,152,1,152,1,153, - 1,153,1,153,1,153,1,153,1,153,1,153,1,154,1,154,1,154,1,154,1,154,1,154, - 1,154,1,154,1,154,1,154,1,155,1,155,1,155,1,155,1,155,1,155,1,155,1,156, - 1,156,1,156,1,156,1,156,1,156,1,157,1,157,1,157,1,157,1,157,1,157,1,157, - 1,157,1,157,1,158,1,158,1,158,1,158,1,158,1,158,1,158,1,159,1,159,1,159, - 1,159,1,159,1,160,1,160,1,160,1,160,1,160,1,161,1,161,1,161,1,161,1,161, - 1,161,1,161,1,161,1,162,1,162,1,162,1,162,1,162,1,162,1,162,1,162,1,163, - 1,163,1,163,1,163,1,163,1,164,1,164,1,164,1,164,1,164,1,165,1,165,1,165, - 1,165,1,165,1,165,1,165,1,165,1,165,1,165,1,166,1,166,1,166,1,166,1,166, - 1,166,1,166,1,166,1,166,1,167,1,167,1,167,1,167,1,167,1,167,1,167,1,168, - 1,168,1,168,1,168,1,168,1,169,1,169,1,169,1,169,1,169,1,169,1,170,1,170, - 1,170,1,170,1,170,1,170,1,171,1,171,1,171,1,171,1,172,1,172,1,172,1,172, - 1,173,1,173,1,173,1,173,1,173,1,173,1,173,1,173,1,173,1,173,1,173,1,174, - 1,174,1,174,1,174,1,174,1,174,1,174,1,174,1,174,1,175,1,175,1,175,1,175, - 1,176,1,176,1,176,1,176,1,177,1,177,1,177,1,177,1,177,1,178,1,178,1,178, - 1,178,1,178,1,179,1,179,1,179,1,179,1,179,1,180,1,180,1,180,1,180,1,180, - 1,180,1,180,1,180,1,180,1,180,1,180,1,181,1,181,1,181,1,181,1,181,1,182, - 1,182,1,182,1,182,1,182,1,182,1,182,1,183,1,183,1,183,1,183,1,183,1,183, - 1,183,1,183,1,183,1,183,1,183,1,184,1,184,1,184,1,184,1,184,1,184,1,184, - 1,184,1,184,1,184,1,184,1,185,1,185,1,185,1,185,1,185,1,185,1,186,1,186, - 1,186,1,186,1,186,1,187,1,187,1,187,1,187,1,188,1,188,1,188,1,188,1,189, - 1,189,1,189,1,189,1,190,1,190,1,190,1,190,1,190,1,190,1,191,1,191,1,191, - 1,191,1,192,1,192,1,192,1,192,1,192,1,192,1,193,1,193,1,193,1,193,1,193, - 1,193,1,193,1,194,1,194,1,194,1,194,1,194,1,194,1,194,1,194,1,195,1,195, - 1,195,1,195,1,195,1,195,1,195,1,195,1,195,1,195,1,195,1,196,1,196,1,196, - 1,196,1,196,1,196,1,196,1,197,1,197,1,197,1,197,1,197,1,197,1,197,1,197, - 1,198,3,198,1617,8,198,1,198,4,198,1620,8,198,11,198,12,198,1621,1,198, - 1,198,1,199,1,199,3,199,1628,8,199,1,199,4,199,1631,8,199,11,199,12,199, - 1632,1,200,4,200,1636,8,200,11,200,12,200,1637,1,200,1,200,5,200,1642, - 8,200,10,200,12,200,1645,9,200,1,200,3,200,1648,8,200,1,200,3,200,1651, - 8,200,1,200,3,200,1654,8,200,1,200,4,200,1657,8,200,11,200,12,200,1658, - 1,200,3,200,1662,8,200,1,200,3,200,1665,8,200,1,200,3,200,1668,8,200,1, - 201,1,201,1,201,1,201,1,201,1,201,1,201,1,201,1,201,1,201,1,201,1,201, - 1,201,1,201,1,201,1,201,1,201,1,201,3,201,1688,8,201,1,202,1,202,1,202, - 1,202,1,202,1,202,1,202,1,202,1,202,1,202,1,202,1,202,1,202,1,202,1,202, - 1,202,1,202,1,202,3,202,1708,8,202,1,203,1,203,1,203,1,203,1,204,4,204, - 1715,8,204,11,204,12,204,1716,1,204,1,204,4,204,1721,8,204,11,204,12,204, - 1722,5,204,1725,8,204,10,204,12,204,1728,9,204,1,205,1,205,1,205,1,205, - 5,205,1734,8,205,10,205,12,205,1737,9,205,1,205,3,205,1740,8,205,1,205, - 3,205,1743,8,205,1,205,1,205,1,205,1,205,5,205,1749,8,205,10,205,12,205, - 1752,9,205,1,205,1,205,3,205,1756,8,205,1,205,1,205,1,206,4,206,1761,8, - 206,11,206,12,206,1762,1,206,1,206,1,1750,0,207,1,1,3,2,5,3,7,4,9,5,11, - 6,13,7,15,8,17,9,19,10,21,11,23,12,25,13,27,14,29,15,31,16,33,17,35,18, - 37,19,39,20,41,21,43,22,45,23,47,24,49,25,51,26,53,27,55,28,57,29,59,30, - 61,31,63,32,65,33,67,34,69,35,71,36,73,37,75,38,77,39,79,40,81,41,83,42, - 85,43,87,44,89,45,91,46,93,47,95,48,97,49,99,50,101,51,103,52,105,53,107, - 54,109,55,111,56,113,57,115,58,117,59,119,60,121,61,123,62,125,63,127, - 64,129,65,131,66,133,67,135,68,137,69,139,70,141,71,143,72,145,73,147, - 74,149,75,151,76,153,77,155,78,157,79,159,80,161,81,163,82,165,83,167, - 84,169,85,171,86,173,87,175,88,177,89,179,90,181,91,183,92,185,93,187, - 94,189,95,191,96,193,97,195,98,197,99,199,100,201,101,203,102,205,103, - 207,104,209,105,211,106,213,107,215,108,217,109,219,110,221,111,223,112, - 225,113,227,114,229,115,231,116,233,117,235,118,237,119,239,120,241,121, - 243,122,245,123,247,124,249,125,251,126,253,127,255,128,257,129,259,130, - 261,131,263,132,265,133,267,134,269,135,271,136,273,137,275,138,277,139, - 279,140,281,141,283,142,285,143,287,144,289,145,291,146,293,147,295,148, - 297,149,299,150,301,151,303,152,305,153,307,154,309,155,311,156,313,157, - 315,158,317,159,319,160,321,161,323,162,325,163,327,164,329,165,331,166, - 333,167,335,168,337,169,339,170,341,171,343,172,345,173,347,174,349,175, - 351,176,353,177,355,178,357,179,359,180,361,181,363,182,365,183,367,184, - 369,185,371,186,373,187,375,188,377,189,379,190,381,191,383,192,385,193, - 387,194,389,195,391,196,393,197,395,198,397,199,399,0,401,200,403,201, - 405,202,407,203,409,204,411,205,413,206,1,0,6,2,0,69,69,101,101,2,0,43, - 43,45,45,5,0,65,90,97,122,880,1279,7936,8191,8495,8495,5,0,48,57,65,90, - 97,122,880,1279,7936,8191,2,0,10,10,13,13,2,0,9,9,32,32,1797,0,1,1,0,0, - 0,0,3,1,0,0,0,0,5,1,0,0,0,0,7,1,0,0,0,0,9,1,0,0,0,0,11,1,0,0,0,0,13,1, - 0,0,0,0,15,1,0,0,0,0,17,1,0,0,0,0,19,1,0,0,0,0,21,1,0,0,0,0,23,1,0,0,0, - 0,25,1,0,0,0,0,27,1,0,0,0,0,29,1,0,0,0,0,31,1,0,0,0,0,33,1,0,0,0,0,35, - 1,0,0,0,0,37,1,0,0,0,0,39,1,0,0,0,0,41,1,0,0,0,0,43,1,0,0,0,0,45,1,0,0, - 0,0,47,1,0,0,0,0,49,1,0,0,0,0,51,1,0,0,0,0,53,1,0,0,0,0,55,1,0,0,0,0,57, - 1,0,0,0,0,59,1,0,0,0,0,61,1,0,0,0,0,63,1,0,0,0,0,65,1,0,0,0,0,67,1,0,0, - 0,0,69,1,0,0,0,0,71,1,0,0,0,0,73,1,0,0,0,0,75,1,0,0,0,0,77,1,0,0,0,0,79, - 1,0,0,0,0,81,1,0,0,0,0,83,1,0,0,0,0,85,1,0,0,0,0,87,1,0,0,0,0,89,1,0,0, - 0,0,91,1,0,0,0,0,93,1,0,0,0,0,95,1,0,0,0,0,97,1,0,0,0,0,99,1,0,0,0,0,101, - 1,0,0,0,0,103,1,0,0,0,0,105,1,0,0,0,0,107,1,0,0,0,0,109,1,0,0,0,0,111, - 1,0,0,0,0,113,1,0,0,0,0,115,1,0,0,0,0,117,1,0,0,0,0,119,1,0,0,0,0,121, - 1,0,0,0,0,123,1,0,0,0,0,125,1,0,0,0,0,127,1,0,0,0,0,129,1,0,0,0,0,131, - 1,0,0,0,0,133,1,0,0,0,0,135,1,0,0,0,0,137,1,0,0,0,0,139,1,0,0,0,0,141, - 1,0,0,0,0,143,1,0,0,0,0,145,1,0,0,0,0,147,1,0,0,0,0,149,1,0,0,0,0,151, - 1,0,0,0,0,153,1,0,0,0,0,155,1,0,0,0,0,157,1,0,0,0,0,159,1,0,0,0,0,161, - 1,0,0,0,0,163,1,0,0,0,0,165,1,0,0,0,0,167,1,0,0,0,0,169,1,0,0,0,0,171, - 1,0,0,0,0,173,1,0,0,0,0,175,1,0,0,0,0,177,1,0,0,0,0,179,1,0,0,0,0,181, - 1,0,0,0,0,183,1,0,0,0,0,185,1,0,0,0,0,187,1,0,0,0,0,189,1,0,0,0,0,191, - 1,0,0,0,0,193,1,0,0,0,0,195,1,0,0,0,0,197,1,0,0,0,0,199,1,0,0,0,0,201, - 1,0,0,0,0,203,1,0,0,0,0,205,1,0,0,0,0,207,1,0,0,0,0,209,1,0,0,0,0,211, - 1,0,0,0,0,213,1,0,0,0,0,215,1,0,0,0,0,217,1,0,0,0,0,219,1,0,0,0,0,221, - 1,0,0,0,0,223,1,0,0,0,0,225,1,0,0,0,0,227,1,0,0,0,0,229,1,0,0,0,0,231, - 1,0,0,0,0,233,1,0,0,0,0,235,1,0,0,0,0,237,1,0,0,0,0,239,1,0,0,0,0,241, - 1,0,0,0,0,243,1,0,0,0,0,245,1,0,0,0,0,247,1,0,0,0,0,249,1,0,0,0,0,251, - 1,0,0,0,0,253,1,0,0,0,0,255,1,0,0,0,0,257,1,0,0,0,0,259,1,0,0,0,0,261, - 1,0,0,0,0,263,1,0,0,0,0,265,1,0,0,0,0,267,1,0,0,0,0,269,1,0,0,0,0,271, - 1,0,0,0,0,273,1,0,0,0,0,275,1,0,0,0,0,277,1,0,0,0,0,279,1,0,0,0,0,281, - 1,0,0,0,0,283,1,0,0,0,0,285,1,0,0,0,0,287,1,0,0,0,0,289,1,0,0,0,0,291, - 1,0,0,0,0,293,1,0,0,0,0,295,1,0,0,0,0,297,1,0,0,0,0,299,1,0,0,0,0,301, - 1,0,0,0,0,303,1,0,0,0,0,305,1,0,0,0,0,307,1,0,0,0,0,309,1,0,0,0,0,311, - 1,0,0,0,0,313,1,0,0,0,0,315,1,0,0,0,0,317,1,0,0,0,0,319,1,0,0,0,0,321, - 1,0,0,0,0,323,1,0,0,0,0,325,1,0,0,0,0,327,1,0,0,0,0,329,1,0,0,0,0,331, - 1,0,0,0,0,333,1,0,0,0,0,335,1,0,0,0,0,337,1,0,0,0,0,339,1,0,0,0,0,341, - 1,0,0,0,0,343,1,0,0,0,0,345,1,0,0,0,0,347,1,0,0,0,0,349,1,0,0,0,0,351, - 1,0,0,0,0,353,1,0,0,0,0,355,1,0,0,0,0,357,1,0,0,0,0,359,1,0,0,0,0,361, - 1,0,0,0,0,363,1,0,0,0,0,365,1,0,0,0,0,367,1,0,0,0,0,369,1,0,0,0,0,371, - 1,0,0,0,0,373,1,0,0,0,0,375,1,0,0,0,0,377,1,0,0,0,0,379,1,0,0,0,0,381, - 1,0,0,0,0,383,1,0,0,0,0,385,1,0,0,0,0,387,1,0,0,0,0,389,1,0,0,0,0,391, - 1,0,0,0,0,393,1,0,0,0,0,395,1,0,0,0,0,397,1,0,0,0,0,401,1,0,0,0,0,403, - 1,0,0,0,0,405,1,0,0,0,0,407,1,0,0,0,0,409,1,0,0,0,0,411,1,0,0,0,0,413, - 1,0,0,0,1,415,1,0,0,0,3,417,1,0,0,0,5,419,1,0,0,0,7,421,1,0,0,0,9,423, - 1,0,0,0,11,425,1,0,0,0,13,429,1,0,0,0,15,431,1,0,0,0,17,433,1,0,0,0,19, - 437,1,0,0,0,21,447,1,0,0,0,23,450,1,0,0,0,25,456,1,0,0,0,27,459,1,0,0, - 0,29,471,1,0,0,0,31,473,1,0,0,0,33,476,1,0,0,0,35,483,1,0,0,0,37,485,1, - 0,0,0,39,494,1,0,0,0,41,496,1,0,0,0,43,504,1,0,0,0,45,506,1,0,0,0,47,509, - 1,0,0,0,49,512,1,0,0,0,51,514,1,0,0,0,53,516,1,0,0,0,55,518,1,0,0,0,57, - 521,1,0,0,0,59,523,1,0,0,0,61,525,1,0,0,0,63,527,1,0,0,0,65,531,1,0,0, - 0,67,535,1,0,0,0,69,537,1,0,0,0,71,541,1,0,0,0,73,544,1,0,0,0,75,552,1, - 0,0,0,77,555,1,0,0,0,79,564,1,0,0,0,81,567,1,0,0,0,83,569,1,0,0,0,85,576, - 1,0,0,0,87,578,1,0,0,0,89,586,1,0,0,0,91,589,1,0,0,0,93,596,1,0,0,0,95, - 598,1,0,0,0,97,600,1,0,0,0,99,602,1,0,0,0,101,606,1,0,0,0,103,610,1,0, - 0,0,105,613,1,0,0,0,107,616,1,0,0,0,109,618,1,0,0,0,111,620,1,0,0,0,113, - 623,1,0,0,0,115,625,1,0,0,0,117,627,1,0,0,0,119,629,1,0,0,0,121,634,1, - 0,0,0,123,641,1,0,0,0,125,647,1,0,0,0,127,652,1,0,0,0,129,658,1,0,0,0, - 131,664,1,0,0,0,133,669,1,0,0,0,135,673,1,0,0,0,137,678,1,0,0,0,139,683, - 1,0,0,0,141,688,1,0,0,0,143,693,1,0,0,0,145,700,1,0,0,0,147,705,1,0,0, - 0,149,710,1,0,0,0,151,717,1,0,0,0,153,722,1,0,0,0,155,730,1,0,0,0,157, - 738,1,0,0,0,159,746,1,0,0,0,161,756,1,0,0,0,163,764,1,0,0,0,165,774,1, - 0,0,0,167,782,1,0,0,0,169,788,1,0,0,0,171,794,1,0,0,0,173,800,1,0,0,0, - 175,806,1,0,0,0,177,814,1,0,0,0,179,820,1,0,0,0,181,828,1,0,0,0,183,834, - 1,0,0,0,185,842,1,0,0,0,187,848,1,0,0,0,189,852,1,0,0,0,191,858,1,0,0, - 0,193,862,1,0,0,0,195,868,1,0,0,0,197,872,1,0,0,0,199,880,1,0,0,0,201, - 886,1,0,0,0,203,891,1,0,0,0,205,897,1,0,0,0,207,902,1,0,0,0,209,910,1, - 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960,5,40,0,0,960,222,1,0,0,0,961,962,5,97,0,0,962,963,5,114,0,0,963,964, - 5,99,0,0,964,965,5,104,0,0,965,966,5,40,0,0,966,224,1,0,0,0,967,968,5, - 97,0,0,968,969,5,114,0,0,969,970,5,99,0,0,970,971,5,99,0,0,971,972,5,111, - 0,0,972,973,5,115,0,0,973,974,5,104,0,0,974,975,5,40,0,0,975,226,1,0,0, - 0,976,977,5,97,0,0,977,978,5,116,0,0,978,979,5,97,0,0,979,980,5,110,0, - 0,980,981,5,104,0,0,981,982,5,40,0,0,982,228,1,0,0,0,983,984,5,97,0,0, - 984,985,5,114,0,0,985,986,5,116,0,0,986,987,5,97,0,0,987,988,5,110,0,0, - 988,989,5,104,0,0,989,990,5,40,0,0,990,230,1,0,0,0,991,992,5,97,0,0,992, - 993,5,114,0,0,993,994,5,116,0,0,994,995,5,104,0,0,995,996,5,40,0,0,996, - 232,1,0,0,0,997,998,5,97,0,0,998,999,5,114,0,0,999,1000,5,99,0,0,1000, - 1001,5,116,0,0,1001,1002,5,97,0,0,1002,1003,5,110,0,0,1003,1004,5,104, - 0,0,1004,1005,5,40,0,0,1005,234,1,0,0,0,1006,1007,5,97,0,0,1007,1008,5, - 99,0,0,1008,1009,5,111,0,0,1009,1010,5,116,0,0,1010,1011,5,104,0,0,1011, - 1012,5,40,0,0,1012,236,1,0,0,0,1013,1014,5,97,0,0,1014,1015,5,114,0,0, - 1015,1016,5,99,0,0,1016,1017,5,111,0,0,1017,1018,5,116,0,0,1018,1019,5, - 104,0,0,1019,1020,5,40,0,0,1020,238,1,0,0,0,1021,1022,5,97,0,0,1022,1023, - 5,99,0,0,1023,1024,5,111,0,0,1024,1025,5,116,0,0,1025,1026,5,97,0,0,1026, - 1027,5,110,0,0,1027,1028,5,104,0,0,1028,1029,5,40,0,0,1029,240,1,0,0,0, - 1030,1031,5,97,0,0,1031,1032,5,114,0,0,1032,1033,5,99,0,0,1033,1034,5, - 111,0,0,1034,1035,5,116,0,0,1035,1036,5,97,0,0,1036,1037,5,110,0,0,1037, - 1038,5,104,0,0,1038,1039,5,40,0,0,1039,242,1,0,0,0,1040,1041,5,97,0,0, - 1041,1042,5,114,0,0,1042,1043,5,99,0,0,1043,1044,5,116,0,0,1044,1045,5, - 104,0,0,1045,1046,5,40,0,0,1046,244,1,0,0,0,1047,1048,5,97,0,0,1048,1049, - 5,114,0,0,1049,1050,5,99,0,0,1050,1051,5,99,0,0,1051,1052,5,111,0,0,1052, - 1053,5,116,0,0,1053,1054,5,97,0,0,1054,1055,5,110,0,0,1055,1056,5,104, - 0,0,1056,1057,5,40,0,0,1057,246,1,0,0,0,1058,1059,5,97,0,0,1059,1060,5, - 115,0,0,1060,1061,5,101,0,0,1061,1062,5,99,0,0,1062,1063,5,104,0,0,1063, - 1064,5,40,0,0,1064,248,1,0,0,0,1065,1066,5,97,0,0,1066,1067,5,114,0,0, - 1067,1068,5,115,0,0,1068,1069,5,101,0,0,1069,1070,5,99,0,0,1070,1071,5, - 104,0,0,1071,1072,5,40,0,0,1072,250,1,0,0,0,1073,1074,5,97,0,0,1074,1075, - 5,114,0,0,1075,1076,5,115,0,0,1076,1077,5,99,0,0,1077,1078,5,104,0,0,1078, - 1079,5,40,0,0,1079,252,1,0,0,0,1080,1081,5,97,0,0,1081,1082,5,114,0,0, - 1082,1083,5,99,0,0,1083,1084,5,115,0,0,1084,1085,5,101,0,0,1085,1086,5, - 99,0,0,1086,1087,5,104,0,0,1087,1088,5,40,0,0,1088,254,1,0,0,0,1089,1090, - 5,97,0,0,1090,1091,5,99,0,0,1091,1092,5,111,0,0,1092,1093,5,115,0,0,1093, - 1094,5,101,0,0,1094,1095,5,99,0,0,1095,1096,5,104,0,0,1096,1097,5,40,0, - 0,1097,256,1,0,0,0,1098,1099,5,97,0,0,1099,1100,5,114,0,0,1100,1101,5, - 99,0,0,1101,1102,5,111,0,0,1102,1103,5,115,0,0,1103,1104,5,101,0,0,1104, - 1105,5,99,0,0,1105,1106,5,104,0,0,1106,1107,5,40,0,0,1107,258,1,0,0,0, - 1108,1109,5,97,0,0,1109,1110,5,114,0,0,1110,1111,5,99,0,0,1111,1112,5, - 115,0,0,1112,1113,5,99,0,0,1113,1114,5,104,0,0,1114,1115,5,40,0,0,1115, - 260,1,0,0,0,1116,1117,5,97,0,0,1117,1118,5,114,0,0,1118,1119,5,99,0,0, - 1119,1120,5,99,0,0,1120,1121,5,111,0,0,1121,1122,5,115,0,0,1122,1123,5, - 101,0,0,1123,1124,5,99,0,0,1124,1125,5,104,0,0,1125,1126,5,40,0,0,1126, - 262,1,0,0,0,1127,1128,5,97,0,0,1128,1129,5,99,0,0,1129,1130,5,115,0,0, - 1130,1131,5,99,0,0,1131,1132,5,104,0,0,1132,1133,5,40,0,0,1133,264,1,0, - 0,0,1134,1135,5,102,0,0,1135,1136,5,97,0,0,1136,1137,5,99,0,0,1137,1138, - 5,116,0,0,1138,1139,5,111,0,0,1139,1140,5,114,0,0,1140,1141,5,105,0,0, - 1141,1142,5,97,0,0,1142,1143,5,108,0,0,1143,1144,5,40,0,0,1144,266,1,0, - 0,0,1145,1146,5,103,0,0,1146,1147,5,97,0,0,1147,1148,5,109,0,0,1148,1149, - 5,109,0,0,1149,1150,5,97,0,0,1150,1151,5,40,0,0,1151,268,1,0,0,0,1152, - 1153,5,100,0,0,1153,1154,5,101,0,0,1154,1155,5,114,0,0,1155,1156,5,105, - 0,0,1156,1157,5,118,0,0,1157,1158,5,97,0,0,1158,1159,5,116,0,0,1159,1160, - 5,105,0,0,1160,1161,5,118,0,0,1161,1162,5,101,0,0,1162,1163,5,40,0,0,1163, - 270,1,0,0,0,1164,1165,5,105,0,0,1165,1166,5,110,0,0,1166,1167,5,116,0, - 0,1167,1168,5,101,0,0,1168,1169,5,103,0,0,1169,1170,5,114,0,0,1170,1171, - 5,97,0,0,1171,1172,5,108,0,0,1172,1173,5,40,0,0,1173,272,1,0,0,0,1174, - 1175,5,108,0,0,1175,1176,5,105,0,0,1176,1177,5,109,0,0,1177,1178,5,105, - 0,0,1178,1179,5,116,0,0,1179,1180,5,40,0,0,1180,274,1,0,0,0,1181,1182, - 5,108,0,0,1182,1183,5,105,0,0,1183,1184,5,109,0,0,1184,1185,5,105,0,0, - 1185,1186,5,116,0,0,1186,1187,5,108,0,0,1187,1188,5,101,0,0,1188,1189, - 5,102,0,0,1189,1190,5,116,0,0,1190,1191,5,40,0,0,1191,276,1,0,0,0,1192, - 1193,5,108,0,0,1193,1194,5,105,0,0,1194,1195,5,109,0,0,1195,1196,5,105, - 0,0,1196,1197,5,116,0,0,1197,1198,5,114,0,0,1198,1199,5,105,0,0,1199,1200, - 5,103,0,0,1200,1201,5,104,0,0,1201,1202,5,116,0,0,1202,1203,5,40,0,0,1203, - 278,1,0,0,0,1204,1205,5,115,0,0,1205,1206,5,117,0,0,1206,1207,5,109,0, - 0,1207,1208,5,40,0,0,1208,280,1,0,0,0,1209,1210,5,112,0,0,1210,1211,5, - 114,0,0,1211,1212,5,111,0,0,1212,1213,5,100,0,0,1213,1214,5,117,0,0,1214, - 1215,5,99,0,0,1215,1216,5,116,0,0,1216,1217,5,40,0,0,1217,282,1,0,0,0, - 1218,1219,5,115,0,0,1219,1220,5,105,0,0,1220,1221,5,103,0,0,1221,1222, - 5,110,0,0,1222,1223,5,117,0,0,1223,1224,5,109,0,0,1224,1225,5,40,0,0,1225, - 284,1,0,0,0,1226,1227,5,115,0,0,1227,1228,5,103,0,0,1228,1229,5,110,0, - 0,1229,1230,5,40,0,0,1230,286,1,0,0,0,1231,1232,5,115,0,0,1232,1233,5, - 105,0,0,1233,1234,5,103,0,0,1234,1235,5,110,0,0,1235,1236,5,40,0,0,1236, - 288,1,0,0,0,1237,1238,5,97,0,0,1238,1239,5,98,0,0,1239,1240,5,115,0,0, - 1240,1241,5,40,0,0,1241,290,1,0,0,0,1242,1243,5,112,0,0,1243,1244,5,104, - 0,0,1244,1245,5,105,0,0,1245,1246,5,40,0,0,1246,292,1,0,0,0,1247,1248, - 5,112,0,0,1248,1249,5,114,0,0,1249,1250,5,105,0,0,1250,1251,5,109,0,0, - 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0,0,1866,1867,5,99,0,0,1867,1868,5,101,0,0,1868,1869,5,40,0,0,1869,424, + 1,0,0,0,1870,1871,5,108,0,0,1871,1872,5,97,0,0,1872,1873,5,112,0,0,1873, + 1874,5,108,0,0,1874,1875,5,97,0,0,1875,1876,5,99,0,0,1876,1877,5,105,0, + 0,1877,1878,5,97,0,0,1878,1879,5,110,0,0,1879,1880,5,40,0,0,1880,426,1, + 0,0,0,1881,1882,5,106,0,0,1882,1883,5,97,0,0,1883,1884,5,99,0,0,1884,1885, + 5,111,0,0,1885,1886,5,98,0,0,1886,1887,5,105,0,0,1887,1888,5,97,0,0,1888, + 1889,5,110,0,0,1889,1890,5,40,0,0,1890,428,1,0,0,0,1891,1892,5,104,0,0, + 1892,1893,5,101,0,0,1893,1894,5,115,0,0,1894,1895,5,115,0,0,1895,1896, + 5,105,0,0,1896,1897,5,97,0,0,1897,1898,5,110,0,0,1898,1899,5,40,0,0,1899, + 430,1,0,0,0,1900,1901,5,104,0,0,1901,1902,5,101,0,0,1902,1903,5,97,0,0, + 1903,1904,5,118,0,0,1904,1905,5,105,0,0,1905,1906,5,115,0,0,1906,1907, + 5,105,0,0,1907,1908,5,100,0,0,1908,1909,5,101,0,0,1909,1910,5,40,0,0,1910, + 432,1,0,0,0,1911,1912,5,117,0,0,1912,1913,5,110,0,0,1913,1914,5,105,0, + 0,1914,1915,5,116,0,0,1915,1916,5,115,0,0,1916,1917,5,116,0,0,1917,1918, + 5,101,0,0,1918,1919,5,112,0,0,1919,1920,5,40,0,0,1920,434,1,0,0,0,1921, + 1922,5,105,0,0,1922,1923,5,115,0,0,1923,1924,5,112,0,0,1924,1925,5,114, + 0,0,1925,1926,5,105,0,0,1926,1927,5,109,0,0,1927,1928,5,101,0,0,1928,1929, + 5,40,0,0,1929,436,1,0,0,0,1930,1931,5,112,0,0,1931,1932,5,111,0,0,1932, + 1933,5,99,0,0,1933,1934,5,104,0,0,1934,1935,5,104,0,0,1935,1936,5,97,0, + 0,1936,1937,5,109,0,0,1937,1938,5,109,0,0,1938,1939,5,101,0,0,1939,1940, + 5,114,0,0,1940,1941,5,40,0,0,1941,438,1,0,0,0,1942,1943,5,100,0,0,1943, + 1944,5,111,0,0,1944,1945,5,117,0,0,1945,1946,5,98,0,0,1946,1947,5,108, + 0,0,1947,1948,5,101,0,0,1948,1949,5,102,0,0,1949,1950,5,97,0,0,1950,1951, + 5,99,0,0,1951,1952,5,116,0,0,1952,1953,5,111,0,0,1953,1954,5,114,0,0,1954, + 1955,5,105,0,0,1955,1956,5,97,0,0,1956,1957,5,108,0,0,1957,1958,5,40,0, + 0,1958,440,1,0,0,0,1959,1960,5,102,0,0,1960,1961,5,97,0,0,1961,1962,5, + 99,0,0,1962,1963,5,116,0,0,1963,1964,5,111,0,0,1964,1965,5,114,0,0,1965, + 1966,5,105,0,0,1966,1967,5,97,0,0,1967,1968,5,108,0,0,1968,1969,5,50,0, + 0,1969,1970,5,40,0,0,1970,442,1,0,0,0,1971,1972,5,102,0,0,1972,1973,5, + 114,0,0,1973,1974,5,97,0,0,1974,1975,5,99,0,0,1975,1976,5,116,0,0,1976, + 1977,5,105,0,0,1977,1978,5,111,0,0,1978,1979,5,110,0,0,1979,1980,5,97, + 0,0,1980,1981,5,108,0,0,1981,1982,5,112,0,0,1982,1983,5,97,0,0,1983,1984, + 5,114,0,0,1984,1985,5,116,0,0,1985,1986,5,40,0,0,1986,444,1,0,0,0,1987, + 1988,5,113,0,0,1988,1989,5,117,0,0,1989,1990,5,111,0,0,1990,1991,5,116, + 0,0,1991,1992,5,105,0,0,1992,1993,5,101,0,0,1993,1994,5,110,0,0,1994,1995, + 5,116,0,0,1995,1996,5,40,0,0,1996,446,1,0,0,0,1997,1998,5,100,0,0,1998, + 1999,5,111,0,0,1999,2000,5,109,0,0,2000,2001,5,97,0,0,2001,2002,5,105, + 0,0,2002,2003,5,110,0,0,2003,2004,5,40,0,0,2004,448,1,0,0,0,2005,2006, + 5,112,0,0,2006,2007,5,105,0,0,2007,2008,5,101,0,0,2008,2009,5,99,0,0,2009, + 2010,5,101,0,0,2010,2011,5,119,0,0,2011,2012,5,105,0,0,2012,2013,5,115, + 0,0,2013,2014,5,101,0,0,2014,2015,5,40,0,0,2015,450,1,0,0,0,2016,2017, + 5,97,0,0,2017,2018,5,112,0,0,2018,2019,5,112,0,0,2019,2020,5,108,0,0,2020, + 2021,5,121,0,0,2021,2022,5,40,0,0,2022,452,1,0,0,0,2023,2024,5,108,0,0, + 2024,2025,5,97,0,0,2025,2026,5,109,0,0,2026,2027,5,98,0,0,2027,2028,5, + 100,0,0,2028,2029,5,97,0,0,2029,2030,5,40,0,0,2030,454,1,0,0,0,2031,2033, + 5,13,0,0,2032,2031,1,0,0,0,2032,2033,1,0,0,0,2033,2034,1,0,0,0,2034,2036, + 5,10,0,0,2035,2032,1,0,0,0,2036,2037,1,0,0,0,2037,2035,1,0,0,0,2037,2038, + 1,0,0,0,2038,2039,1,0,0,0,2039,2040,6,227,0,0,2040,456,1,0,0,0,2041,2043, + 7,0,0,0,2042,2044,7,1,0,0,2043,2042,1,0,0,0,2043,2044,1,0,0,0,2044,2046, + 1,0,0,0,2045,2047,2,48,57,0,2046,2045,1,0,0,0,2047,2048,1,0,0,0,2048,2046, + 1,0,0,0,2048,2049,1,0,0,0,2049,458,1,0,0,0,2050,2052,2,48,57,0,2051,2050, + 1,0,0,0,2052,2053,1,0,0,0,2053,2051,1,0,0,0,2053,2054,1,0,0,0,2054,2055, + 1,0,0,0,2055,2059,5,46,0,0,2056,2058,2,48,57,0,2057,2056,1,0,0,0,2058, + 2061,1,0,0,0,2059,2057,1,0,0,0,2059,2060,1,0,0,0,2060,2063,1,0,0,0,2061, + 2059,1,0,0,0,2062,2064,3,457,228,0,2063,2062,1,0,0,0,2063,2064,1,0,0,0, + 2064,2066,1,0,0,0,2065,2067,5,105,0,0,2066,2065,1,0,0,0,2066,2067,1,0, + 0,0,2067,2084,1,0,0,0,2068,2070,5,46,0,0,2069,2068,1,0,0,0,2069,2070,1, + 0,0,0,2070,2072,1,0,0,0,2071,2073,2,48,57,0,2072,2071,1,0,0,0,2073,2074, + 1,0,0,0,2074,2072,1,0,0,0,2074,2075,1,0,0,0,2075,2077,1,0,0,0,2076,2078, + 3,457,228,0,2077,2076,1,0,0,0,2077,2078,1,0,0,0,2078,2080,1,0,0,0,2079, + 2081,5,105,0,0,2080,2079,1,0,0,0,2080,2081,1,0,0,0,2081,2084,1,0,0,0,2082, + 2084,5,105,0,0,2083,2051,1,0,0,0,2083,2069,1,0,0,0,2083,2082,1,0,0,0,2084, + 460,1,0,0,0,2085,2086,5,67,0,0,2086,2104,5,67,0,0,2087,2088,5,82,0,0,2088, + 2104,5,82,0,0,2089,2090,5,81,0,0,2090,2104,5,81,0,0,2091,2092,5,90,0,0, + 2092,2104,5,90,0,0,2093,2094,5,66,0,0,2094,2104,5,66,0,0,2095,2096,5,90, + 0,0,2096,2097,5,90,0,0,2097,2104,5,42,0,0,2098,2099,5,90,0,0,2099,2100, + 5,90,0,0,2100,2104,5,43,0,0,2101,2102,5,80,0,0,2102,2104,5,80,0,0,2103, + 2085,1,0,0,0,2103,2087,1,0,0,0,2103,2089,1,0,0,0,2103,2091,1,0,0,0,2103, + 2093,1,0,0,0,2103,2095,1,0,0,0,2103,2098,1,0,0,0,2103,2101,1,0,0,0,2104, + 462,1,0,0,0,2105,2106,5,116,0,0,2106,2107,5,114,0,0,2107,2108,5,117,0, + 0,2108,2124,5,101,0,0,2109,2110,5,84,0,0,2110,2111,5,114,0,0,2111,2112, + 5,117,0,0,2112,2124,5,101,0,0,2113,2114,5,102,0,0,2114,2115,5,97,0,0,2115, + 2116,5,108,0,0,2116,2117,5,115,0,0,2117,2124,5,101,0,0,2118,2119,5,70, + 0,0,2119,2120,5,97,0,0,2120,2121,5,108,0,0,2121,2122,5,115,0,0,2122,2124, + 5,101,0,0,2123,2105,1,0,0,0,2123,2109,1,0,0,0,2123,2113,1,0,0,0,2123,2118, + 1,0,0,0,2124,464,1,0,0,0,2125,2126,5,78,0,0,2126,2127,5,97,0,0,2127,2128, + 5,78,0,0,2128,466,1,0,0,0,2129,2131,7,2,0,0,2130,2129,1,0,0,0,2131,2132, + 1,0,0,0,2132,2130,1,0,0,0,2132,2133,1,0,0,0,2133,2142,1,0,0,0,2134,2136, + 5,95,0,0,2135,2137,7,3,0,0,2136,2135,1,0,0,0,2137,2138,1,0,0,0,2138,2136, + 1,0,0,0,2138,2139,1,0,0,0,2139,2141,1,0,0,0,2140,2134,1,0,0,0,2141,2144, + 1,0,0,0,2142,2140,1,0,0,0,2142,2143,1,0,0,0,2143,468,1,0,0,0,2144,2142, + 1,0,0,0,2145,2146,5,47,0,0,2146,2147,5,47,0,0,2147,2151,1,0,0,0,2148,2150, + 8,4,0,0,2149,2148,1,0,0,0,2150,2153,1,0,0,0,2151,2149,1,0,0,0,2151,2152, + 1,0,0,0,2152,2158,1,0,0,0,2153,2151,1,0,0,0,2154,2156,5,13,0,0,2155,2154, + 1,0,0,0,2155,2156,1,0,0,0,2156,2157,1,0,0,0,2157,2159,5,10,0,0,2158,2155, + 1,0,0,0,2158,2159,1,0,0,0,2159,2172,1,0,0,0,2160,2161,5,47,0,0,2161,2162, + 5,42,0,0,2162,2166,1,0,0,0,2163,2165,9,0,0,0,2164,2163,1,0,0,0,2165,2168, + 1,0,0,0,2166,2167,1,0,0,0,2166,2164,1,0,0,0,2167,2169,1,0,0,0,2168,2166, + 1,0,0,0,2169,2170,5,42,0,0,2170,2172,5,47,0,0,2171,2145,1,0,0,0,2171,2160, + 1,0,0,0,2172,2173,1,0,0,0,2173,2174,6,234,0,0,2174,470,1,0,0,0,2175,2177, + 7,5,0,0,2176,2175,1,0,0,0,2177,2178,1,0,0,0,2178,2176,1,0,0,0,2178,2179, + 1,0,0,0,2179,2180,1,0,0,0,2180,2181,6,235,0,0,2181,472,1,0,0,0,25,0,2032, + 2037,2043,2048,2053,2059,2063,2066,2069,2074,2077,2080,2083,2103,2123, + 2132,2138,2142,2151,2155,2158,2166,2171,2178,1,6,0,0 }; public static readonly ATN _ATN = diff --git a/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.interp b/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.interp index f164635f4..5d2215c1d 100644 --- a/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.interp +++ b/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.interp @@ -194,6 +194,35 @@ null 'im(' 'imag(' 'trunc(' +'zeta(' +'riemannzeta(' +'hurwitzzeta(' +'lambertw(' +'productlog(' +'mobius(' +'moebiusmu(' +'divisorsigma(' +'primenu(' +'primeomega(' +'primepi(' +'harmonicnumber(' +'catalannumber(' +'multinomial(' +'fallingfactorial(' +'factorialpower(' +'risingfactorial(' +'forwarddifference(' +'laplacian(' +'jacobian(' +'hessian(' +'heaviside(' +'unitstep(' +'isprime(' +'pochhammer(' +'doublefactorial(' +'factorial2(' +'fractionalpart(' +'quotient(' 'domain(' 'piecewise(' 'apply(' @@ -407,6 +436,35 @@ 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 @@ -615,6 +673,35 @@ T__194 T__195 T__196 T__197 +T__198 +T__199 +T__200 +T__201 +T__202 +T__203 +T__204 +T__205 +T__206 +T__207 +T__208 +T__209 +T__210 +T__211 +T__212 +T__213 +T__214 +T__215 +T__216 +T__217 +T__218 +T__219 +T__220 +T__221 +T__222 +T__223 +T__224 +T__225 +T__226 NEWLINE EXPONENT NUMBER @@ -633,4 +720,4 @@ mode names: DEFAULT_MODE atn: -[4, 0, 206, 1766, 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, 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0, 2141, 2144, 1, 0, 0, 0, 2142, 2140, 1, 0, 0, 0, 2142, 2143, 1, 0, 0, 0, 2143, 468, 1, 0, 0, 0, 2144, 2142, 1, 0, 0, 0, 2145, 2146, 5, 47, 0, 0, 2146, 2147, 5, 47, 0, 0, 2147, 2151, 1, 0, 0, 0, 2148, 2150, 8, 4, 0, 0, 2149, 2148, 1, 0, 0, 0, 2150, 2153, 1, 0, 0, 0, 2151, 2149, 1, 0, 0, 0, 2151, 2152, 1, 0, 0, 0, 2152, 2158, 1, 0, 0, 0, 2153, 2151, 1, 0, 0, 0, 2154, 2156, 5, 13, 0, 0, 2155, 2154, 1, 0, 0, 0, 2155, 2156, 1, 0, 0, 0, 2156, 2157, 1, 0, 0, 0, 2157, 2159, 5, 10, 0, 0, 2158, 2155, 1, 0, 0, 0, 2158, 2159, 1, 0, 0, 0, 2159, 2172, 1, 0, 0, 0, 2160, 2161, 5, 47, 0, 0, 2161, 2162, 5, 42, 0, 0, 2162, 2166, 1, 0, 0, 0, 2163, 2165, 9, 0, 0, 0, 2164, 2163, 1, 0, 0, 0, 2165, 2168, 1, 0, 0, 0, 2166, 2167, 1, 0, 0, 0, 2166, 2164, 1, 0, 0, 0, 2167, 2169, 1, 0, 0, 0, 2168, 2166, 1, 0, 0, 0, 2169, 2170, 5, 42, 0, 0, 2170, 2172, 5, 47, 0, 0, 2171, 2145, 1, 0, 0, 0, 2171, 2160, 1, 0, 0, 0, 2172, 2173, 1, 0, 0, 0, 2173, 2174, 6, 234, 0, 0, 2174, 470, 1, 0, 0, 0, 2175, 2177, 7, 5, 0, 0, 2176, 2175, 1, 0, 0, 0, 2177, 2178, 1, 0, 0, 0, 2178, 2176, 1, 0, 0, 0, 2178, 2179, 1, 0, 0, 0, 2179, 2180, 1, 0, 0, 0, 2180, 2181, 6, 235, 0, 0, 2181, 472, 1, 0, 0, 0, 25, 0, 2032, 2037, 2043, 2048, 2053, 2059, 2063, 2066, 2069, 2074, 2077, 2080, 2083, 2103, 2123, 2132, 2138, 2142, 2151, 2155, 2158, 2166, 2171, 2178, 1, 6, 0, 0] \ No newline at end of file diff --git a/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.tokens b/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.tokens index 93e126363..23ae43fa3 100644 --- a/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.tokens +++ b/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.tokens @@ -196,14 +196,43 @@ T__194=195 T__195=196 T__196=197 T__197=198 -NEWLINE=199 -NUMBER=200 -SPECIALSET=201 -BOOLEAN=202 -NAN=203 -VARIABLE=204 -COMMENT=205 -WS=206 +T__198=199 +T__199=200 +T__200=201 +T__201=202 +T__202=203 +T__203=204 +T__204=205 +T__205=206 +T__206=207 +T__207=208 +T__208=209 +T__209=210 +T__210=211 +T__211=212 +T__212=213 +T__213=214 +T__214=215 +T__215=216 +T__216=217 +T__217=218 +T__218=219 +T__219=220 +T__220=221 +T__221=222 +T__222=223 +T__223=224 +T__224=225 +T__225=226 +T__226=227 +NEWLINE=228 +NUMBER=229 +SPECIALSET=230 +BOOLEAN=231 +NAN=232 +VARIABLE=233 +COMMENT=234 +WS=235 '!'=1 '^'=2 '-'=3 @@ -398,8 +427,37 @@ WS=206 'im('=192 'imag('=193 'trunc('=194 -'domain('=195 -'piecewise('=196 -'apply('=197 -'lambda('=198 -'NaN'=203 +'zeta('=195 +'riemannzeta('=196 +'hurwitzzeta('=197 +'lambertw('=198 +'productlog('=199 +'mobius('=200 +'moebiusmu('=201 +'divisorsigma('=202 +'primenu('=203 +'primeomega('=204 +'primepi('=205 +'harmonicnumber('=206 +'catalannumber('=207 +'multinomial('=208 +'fallingfactorial('=209 +'factorialpower('=210 +'risingfactorial('=211 +'forwarddifference('=212 +'laplacian('=213 +'jacobian('=214 +'hessian('=215 +'heaviside('=216 +'unitstep('=217 +'isprime('=218 +'pochhammer('=219 +'doublefactorial('=220 +'factorial2('=221 +'fractionalpart('=222 +'quotient('=223 +'domain('=224 +'piecewise('=225 +'apply('=226 +'lambda('=227 +'NaN'=232 diff --git a/Sources/AngouriMath/Core/Antlr/AngouriMathParser.cs b/Sources/AngouriMath/Core/Antlr/AngouriMathParser.cs index 9cbb9f37f..dd3867a07 100644 --- a/Sources/AngouriMath/Core/Antlr/AngouriMathParser.cs +++ b/Sources/AngouriMath/Core/Antlr/AngouriMathParser.cs @@ -76,8 +76,13 @@ public const int T__179=180, T__180=181, T__181=182, T__182=183, T__183=184, T__184=185, T__185=186, T__186=187, T__187=188, T__188=189, T__189=190, T__190=191, T__191=192, T__192=193, T__193=194, T__194=195, T__195=196, T__196=197, - T__197=198, NEWLINE=199, NUMBER=200, SPECIALSET=201, BOOLEAN=202, NAN=203, - VARIABLE=204, COMMENT=205, WS=206; + T__197=198, T__198=199, T__199=200, T__200=201, T__201=202, T__202=203, + T__203=204, T__204=205, T__205=206, T__206=207, T__207=208, T__208=209, + T__209=210, T__210=211, T__211=212, T__212=213, T__213=214, T__214=215, + T__215=216, T__216=217, T__217=218, T__218=219, T__219=220, T__220=221, + T__221=222, T__222=223, T__223=224, T__224=225, T__225=226, T__226=227, + NEWLINE=228, NUMBER=229, SPECIALSET=230, BOOLEAN=231, NAN=232, VARIABLE=233, + COMMENT=234, WS=235; 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, @@ -128,8 +133,14 @@ public const int "'polygamma('", "'digamma('", "'Si('", "'Ci('", "'Shi('", "'Chi('", "'det('", "'transpose('", "'dot('", "'cross('", "'resultant('", "'conjugate('", "'conj('", "'arg('", "'Re('", "'Im('", "'re('", "'real('", "'im('", "'imag('", - "'trunc('", "'domain('", "'piecewise('", "'apply('", "'lambda('", null, - null, null, null, "'NaN'" + "'trunc('", "'zeta('", "'riemannzeta('", "'hurwitzzeta('", "'lambertw('", + "'productlog('", "'mobius('", "'moebiusmu('", "'divisorsigma('", "'primenu('", + "'primeomega('", "'primepi('", "'harmonicnumber('", "'catalannumber('", + "'multinomial('", "'fallingfactorial('", "'factorialpower('", "'risingfactorial('", + "'forwarddifference('", "'laplacian('", "'jacobian('", "'hessian('", "'heaviside('", + "'unitstep('", "'isprime('", "'pochhammer('", "'doublefactorial('", "'factorial2('", + "'fractionalpart('", "'quotient('", "'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, @@ -148,8 +159,11 @@ public const int null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, null, - null, null, null, null, null, null, null, "NEWLINE", "NUMBER", "SPECIALSET", - "BOOLEAN", "NAN", "VARIABLE", "COMMENT", "WS" + null, null, null, null, null, null, null, null, null, null, null, null, + null, null, null, null, null, null, null, null, null, null, null, null, + null, null, null, null, null, null, null, null, null, null, null, null, + "NEWLINE", "NUMBER", "SPECIALSET", "BOOLEAN", "NAN", "VARIABLE", "COMMENT", + "WS" }; public static readonly IVocabulary DefaultVocabulary = new Vocabulary(_LiteralNames, _SymbolicNames); @@ -194,6 +208,14 @@ static Entity NotImplementedFunction(string name, string what) $"rather than read as the product of a variable named {name} with its argument, " + $"which is what an unknown name followed by a bracket would otherwise mean"); + // A name that will not be a function, because what it means is ambiguous or is already + // written exactly another way, refused with the spelling to use, as NN is refused with ZZ+ + // and ZZ*. https://github.com/asc-community/AngouriMath/issues/2182 + static Entity NotAFunctionHere(string name, string instead) + => throw new UnrecognizedFunctionParseException( + $"{name} is not a function in AngouriMath: {instead}. It is refused by name rather " + + $"than read as the product of a variable named {name} with its argument"); + public AngouriMathParser(ITokenStream input) : this(input, Console.Out, Console.Error) { } public AngouriMathParser(ITokenStream input, TextWriter output, TextWriter errorOutput) @@ -773,6 +795,35 @@ public Mult_expressionContext mult_expression() { case T__195: case T__196: case T__197: + case T__198: + case T__199: + case T__200: + case T__201: + case T__202: + case T__203: + case T__204: + case T__205: + case T__206: + case T__207: + case T__208: + case T__209: + case T__210: + case T__211: + case T__212: + case T__213: + case T__214: + case T__215: + case T__216: + case T__217: + case T__218: + case T__219: + case T__220: + case T__221: + case T__222: + case T__223: + case T__224: + case T__225: + case T__226: case NUMBER: case SPECIALSET: case BOOLEAN: @@ -1046,6 +1097,35 @@ public Sum_expressionContext sum_expression() { case T__195: case T__196: case T__197: + case T__198: + case T__199: + case T__200: + case T__201: + case T__202: + case T__203: + case T__204: + case T__205: + case T__206: + case T__207: + case T__208: + case T__209: + case T__210: + case T__211: + case T__212: + case T__213: + case T__214: + case T__215: + case T__216: + case T__217: + case T__218: + case T__219: + case T__220: + case T__221: + case T__222: + case T__223: + case T__224: + case T__225: + case T__226: case NUMBER: case SPECIALSET: case BOOLEAN: @@ -2329,6 +2409,35 @@ public ExpressionContext expression() { case T__195: case T__196: case T__197: + case T__198: + case T__199: + case T__200: + case T__201: + case T__202: + case T__203: + case T__204: + case T__205: + case T__206: + case T__207: + case T__208: + case T__209: + case T__210: + case T__211: + case T__212: + case T__213: + case T__214: + case T__215: + case T__216: + case T__217: + case T__218: + case T__219: + case T__220: + case T__221: + case T__222: + case T__223: + case T__224: + case T__225: + case T__226: case NUMBER: case SPECIALSET: case BOOLEAN: @@ -2694,7 +2803,7 @@ public Function_argumentsContext function_arguments() { State = 410; ErrorHandler.Sync(this); _la = TokenStream.LA(1); - if ((((_la) & ~0x3f) == 0 && ((1L << _la) & -802489551279882216L) != 0) || ((((_la - 64)) & ~0x3f) == 0 && ((1L << (_la - 64)) & -1L) != 0) || ((((_la - 128)) & ~0x3f) == 0 && ((1L << (_la - 128)) & -1L) != 0) || ((((_la - 192)) & ~0x3f) == 0 && ((1L << (_la - 192)) & 8063L) != 0)) { + if ((((_la) & ~0x3f) == 0 && ((1L << _la) & -802489551279882216L) != 0) || ((((_la - 64)) & ~0x3f) == 0 && ((1L << (_la - 64)) & -1L) != 0) || ((((_la - 128)) & ~0x3f) == 0 && ((1L << (_la - 128)) & -1L) != 0) || ((((_la - 192)) & ~0x3f) == 0 && ((1L << (_la - 192)) & 4329327034367L) != 0)) { { State = 399; _localctx.e = expression(); @@ -2770,7 +2879,7 @@ public Set_itemsContext set_items() { State = 432; ErrorHandler.Sync(this); _la = TokenStream.LA(1); - if ((((_la) & ~0x3f) == 0 && ((1L << _la) & -802489551279882024L) != 0) || ((((_la - 64)) & ~0x3f) == 0 && ((1L << (_la - 64)) & -1L) != 0) || ((((_la - 128)) & ~0x3f) == 0 && ((1L << (_la - 128)) & -1L) != 0) || ((((_la - 192)) & ~0x3f) == 0 && ((1L << (_la - 192)) & 8063L) != 0)) { + if ((((_la) & ~0x3f) == 0 && ((1L << _la) & -802489551279882024L) != 0) || ((((_la - 64)) & ~0x3f) == 0 && ((1L << (_la - 64)) & -1L) != 0) || ((((_la - 128)) & ~0x3f) == 0 && ((1L << (_la - 128)) & -1L) != 0) || ((((_la - 192)) & ~0x3f) == 0 && ((1L << (_la - 192)) & 4329327034367L) != 0)) { { State = 417; ErrorHandler.Sync(this); @@ -2930,6 +3039,35 @@ public Set_itemsContext set_items() { case T__195: case T__196: case T__197: + case T__198: + case T__199: + case T__200: + case T__201: + case T__202: + case T__203: + case T__204: + case T__205: + case T__206: + case T__207: + case T__208: + case T__209: + case T__210: + case T__211: + case T__212: + case T__213: + case T__214: + case T__215: + case T__216: + case T__217: + case T__218: + case T__219: + case T__220: + case T__221: + case T__222: + case T__223: + case T__224: + case T__225: + case T__226: case NUMBER: case SPECIALSET: case BOOLEAN: @@ -3125,6 +3263,35 @@ public Set_itemsContext set_items() { case T__195: case T__196: case T__197: + case T__198: + case T__199: + case T__200: + case T__201: + case T__202: + case T__203: + case T__204: + case T__205: + case T__206: + case T__207: + case T__208: + case T__209: + case T__210: + case T__211: + case T__212: + case T__213: + case T__214: + case T__215: + case T__216: + case T__217: + case T__218: + case T__219: + case T__220: + case T__221: + case T__222: + case T__223: + case T__224: + case T__225: + case T__226: case NUMBER: case SPECIALSET: case BOOLEAN: @@ -3344,7 +3511,7 @@ public AtomContext atom() { AtomContext _localctx = new AtomContext(Context, State); EnterRule(_localctx, 48, RULE_atom); try { - State = 1209; + State = 1354; ErrorHandler.Sync(this); switch ( Interpreter.AdaptivePredict(TokenStream,43,Context) ) { case 1: @@ -5190,6 +5357,354 @@ public AtomContext atom() { State = 1190; _localctx.args = function_arguments(); State = 1191; + Match(T__30); + _localctx.value = NotImplementedFunction("zeta", "Riemann or Hurwitz zeta function yet"); + } + break; + case 155: + EnterOuterAlt(_localctx, 155); + { + State = 1194; + Match(T__195); + State = 1195; + _localctx.args = function_arguments(); + State = 1196; + Match(T__30); + _localctx.value = NotImplementedFunction("riemannzeta", "Riemann zeta function yet"); + } + break; + case 156: + EnterOuterAlt(_localctx, 156); + { + State = 1199; + Match(T__196); + State = 1200; + _localctx.args = function_arguments(); + State = 1201; + Match(T__30); + _localctx.value = NotImplementedFunction("hurwitzzeta", "Hurwitz zeta function yet"); + } + break; + case 157: + EnterOuterAlt(_localctx, 157); + { + State = 1204; + Match(T__197); + State = 1205; + _localctx.args = function_arguments(); + State = 1206; + Match(T__30); + _localctx.value = NotImplementedFunction("lambertw", "Lambert W function yet"); + } + break; + case 158: + EnterOuterAlt(_localctx, 158); + { + State = 1209; + Match(T__198); + State = 1210; + _localctx.args = function_arguments(); + State = 1211; + Match(T__30); + _localctx.value = NotImplementedFunction("productlog", "Lambert W function yet"); + } + break; + case 159: + EnterOuterAlt(_localctx, 159); + { + State = 1214; + Match(T__199); + State = 1215; + _localctx.args = function_arguments(); + State = 1216; + Match(T__30); + _localctx.value = NotImplementedFunction("mobius", "Mobius function yet"); + } + break; + case 160: + EnterOuterAlt(_localctx, 160); + { + State = 1219; + Match(T__200); + State = 1220; + _localctx.args = function_arguments(); + State = 1221; + Match(T__30); + _localctx.value = NotImplementedFunction("moebiusmu", "Mobius function yet"); + } + break; + case 161: + EnterOuterAlt(_localctx, 161); + { + State = 1224; + Match(T__201); + State = 1225; + _localctx.args = function_arguments(); + State = 1226; + Match(T__30); + _localctx.value = NotImplementedFunction("divisorsigma", "divisor function yet"); + } + break; + case 162: + EnterOuterAlt(_localctx, 162); + { + State = 1229; + Match(T__202); + State = 1230; + _localctx.args = function_arguments(); + State = 1231; + Match(T__30); + _localctx.value = NotImplementedFunction("primenu", "count of distinct prime factors yet"); + } + break; + case 163: + EnterOuterAlt(_localctx, 163); + { + State = 1234; + Match(T__203); + State = 1235; + _localctx.args = function_arguments(); + State = 1236; + Match(T__30); + _localctx.value = NotImplementedFunction("primeomega", "count of prime factors with multiplicity yet"); + } + break; + case 164: + EnterOuterAlt(_localctx, 164); + { + State = 1239; + Match(T__204); + State = 1240; + _localctx.args = function_arguments(); + State = 1241; + Match(T__30); + _localctx.value = NotImplementedFunction("primepi", "prime-counting function yet"); + } + break; + case 165: + EnterOuterAlt(_localctx, 165); + { + State = 1244; + Match(T__205); + State = 1245; + _localctx.args = function_arguments(); + State = 1246; + Match(T__30); + _localctx.value = NotImplementedFunction("harmonicnumber", "harmonic numbers yet"); + } + break; + case 166: + EnterOuterAlt(_localctx, 166); + { + State = 1249; + Match(T__206); + State = 1250; + _localctx.args = function_arguments(); + State = 1251; + Match(T__30); + _localctx.value = NotImplementedFunction("catalannumber", "Catalan numbers yet"); + } + break; + case 167: + EnterOuterAlt(_localctx, 167); + { + State = 1254; + Match(T__207); + State = 1255; + _localctx.args = function_arguments(); + State = 1256; + Match(T__30); + _localctx.value = NotImplementedFunction("multinomial", "multinomial coefficients yet"); + } + break; + case 168: + EnterOuterAlt(_localctx, 168); + { + State = 1259; + Match(T__208); + State = 1260; + _localctx.args = function_arguments(); + State = 1261; + Match(T__30); + _localctx.value = NotImplementedFunction("fallingfactorial", "falling factorial yet"); + } + break; + case 169: + EnterOuterAlt(_localctx, 169); + { + State = 1264; + Match(T__209); + State = 1265; + _localctx.args = function_arguments(); + State = 1266; + Match(T__30); + _localctx.value = NotImplementedFunction("factorialpower", "falling factorial yet"); + } + break; + case 170: + EnterOuterAlt(_localctx, 170); + { + State = 1269; + Match(T__210); + State = 1270; + _localctx.args = function_arguments(); + State = 1271; + Match(T__30); + _localctx.value = NotImplementedFunction("risingfactorial", "rising factorial yet"); + } + break; + case 171: + EnterOuterAlt(_localctx, 171); + { + State = 1274; + Match(T__211); + State = 1275; + _localctx.args = function_arguments(); + State = 1276; + Match(T__30); + _localctx.value = NotImplementedFunction("forwarddifference", "forward difference yet"); + } + break; + case 172: + EnterOuterAlt(_localctx, 172); + { + State = 1279; + Match(T__212); + State = 1280; + _localctx.args = function_arguments(); + State = 1281; + Match(T__30); + _localctx.value = NotImplementedFunction("laplacian", "Laplacian yet"); + } + break; + case 173: + EnterOuterAlt(_localctx, 173); + { + State = 1284; + Match(T__213); + State = 1285; + _localctx.args = function_arguments(); + State = 1286; + Match(T__30); + _localctx.value = NotImplementedFunction("jacobian", "Jacobian yet"); + } + break; + case 174: + EnterOuterAlt(_localctx, 174); + { + State = 1289; + Match(T__214); + State = 1290; + _localctx.args = function_arguments(); + State = 1291; + Match(T__30); + _localctx.value = NotImplementedFunction("hessian", "Hessian yet"); + } + break; + case 175: + EnterOuterAlt(_localctx, 175); + { + State = 1294; + Match(T__215); + State = 1295; + _localctx.args = function_arguments(); + State = 1296; + Match(T__30); + _localctx.value = NotAFunctionHere("heaviside", "its value at 0 is 0, 1/2 or 1 by source; write iverson(x > 0), iverson(x >= 0) or (1 + sgn(x))/2"); + } + break; + case 176: + EnterOuterAlt(_localctx, 176); + { + State = 1299; + Match(T__216); + State = 1300; + _localctx.args = function_arguments(); + State = 1301; + Match(T__30); + _localctx.value = NotAFunctionHere("unitstep", "write iverson(x >= 0), which is 1 at 0"); + } + break; + case 177: + EnterOuterAlt(_localctx, 177); + { + State = 1304; + Match(T__217); + State = 1305; + _localctx.args = function_arguments(); + State = 1306; + Match(T__30); + _localctx.value = NotAFunctionHere("isprime", "write n in PP"); + } + break; + case 178: + EnterOuterAlt(_localctx, 178); + { + State = 1309; + Match(T__218); + State = 1310; + _localctx.args = function_arguments(); + State = 1311; + Match(T__30); + _localctx.value = NotAFunctionHere("pochhammer", "(x)_n is the rising factorial to some and the falling one to others; write risingfactorial or fallingfactorial"); + } + break; + case 179: + EnterOuterAlt(_localctx, 179); + { + State = 1314; + Match(T__219); + State = 1315; + _localctx.args = function_arguments(); + State = 1316; + Match(T__30); + _localctx.value = NotAFunctionHere("doublefactorial", "the double factorial is to be the postfix n!!, which is not implemented yet"); + } + break; + case 180: + EnterOuterAlt(_localctx, 180); + { + State = 1319; + Match(T__220); + State = 1320; + _localctx.args = function_arguments(); + State = 1321; + Match(T__30); + _localctx.value = NotAFunctionHere("factorial2", "the double factorial is to be the postfix n!!, which is not implemented yet"); + } + break; + case 181: + EnterOuterAlt(_localctx, 181); + { + State = 1324; + Match(T__221); + State = 1325; + _localctx.args = function_arguments(); + State = 1326; + Match(T__30); + _localctx.value = NotAFunctionHere("fractionalpart", "write x mod 1, which is in [0, 1)"); + } + break; + case 182: + EnterOuterAlt(_localctx, 182); + { + State = 1329; + Match(T__222); + State = 1330; + _localctx.args = function_arguments(); + State = 1331; + Match(T__30); + _localctx.value = NotAFunctionHere("quotient", "write floor(a / b)"); + } + break; + case 183: + EnterOuterAlt(_localctx, 183); + { + State = 1334; + Match(T__223); + State = 1335; + _localctx.args = function_arguments(); + State = 1336; Match(T__30); Assert("domain", 2, _localctx.args.list.Count); @@ -5216,14 +5731,14 @@ public AtomContext atom() { } break; - case 155: - EnterOuterAlt(_localctx, 155); + case 184: + EnterOuterAlt(_localctx, 184); { - State = 1194; - Match(T__195); - State = 1195; + State = 1339; + Match(T__224); + State = 1340; _localctx.args = function_arguments(); - State = 1196; + State = 1341; Match(T__30); var cases = new List(); @@ -5236,14 +5751,14 @@ public AtomContext atom() { } break; - case 156: - EnterOuterAlt(_localctx, 156); + case 185: + EnterOuterAlt(_localctx, 185); { - State = 1199; - Match(T__196); - State = 1200; + State = 1344; + Match(T__225); + State = 1345; _localctx.args = function_arguments(); - State = 1201; + State = 1346; Match(T__30); if (_localctx.args.list.Count < 2) @@ -5252,14 +5767,14 @@ public AtomContext atom() { } break; - case 157: - EnterOuterAlt(_localctx, 157); + case 186: + EnterOuterAlt(_localctx, 186); { - State = 1204; - Match(T__197); - State = 1205; + State = 1349; + Match(T__226); + State = 1350; _localctx.args = function_arguments(); - State = 1206; + State = 1351; Match(T__30); if (_localctx.args.list.Count < 2) @@ -5322,9 +5837,9 @@ public StatementContext statement() { try { EnterOuterAlt(_localctx, 1); { - State = 1211; + State = 1356; _localctx._expression = expression(); - State = 1212; + State = 1357; Match(Eof); Result = _localctx._expression.value; } @@ -5341,7 +5856,7 @@ public StatementContext statement() { } private static int[] _serializedATN = { - 4,1,206,1216,2,0,7,0,2,1,7,1,2,2,7,2,2,3,7,3,2,4,7,4,2,5,7,5,2,6,7,6,2, + 4,1,235,1361,2,0,7,0,2,1,7,1,2,2,7,2,2,3,7,3,2,4,7,4,2,5,7,5,2,6,7,6,2, 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, 2,22,7,22,2,23,7,23,2,24,7,24,2,25,7,25,1,0,1,0,1,0,1,0,1,0,1,0,1,0,3, @@ -5427,355 +5942,413 @@ public StatementContext statement() { 24,1,24,1,24,1,24,1,24,1,24,1,24,1,24,1,24,1,24,1,24,1,24,1,24,1,24,1, 24,1,24,1,24,1,24,1,24,1,24,1,24,1,24,1,24,1,24,1,24,1,24,1,24,1,24,1, 24,1,24,1,24,1,24,1,24,1,24,1,24,1,24,1,24,1,24,1,24,1,24,1,24,1,24,1, - 24,3,24,1210,8,24,1,25,1,25,1,25,1,25,1,25,0,0,26,0,2,4,6,8,10,12,14,16, - 18,20,22,24,26,28,30,32,34,36,38,40,42,44,46,48,50,0,6,1,0,6,7,1,0,33, - 34,1,0,37,38,1,0,42,43,1,0,44,45,1,0,46,47,1407,0,59,1,0,0,0,2,77,1,0, - 0,0,4,79,1,0,0,0,6,109,1,0,0,0,8,111,1,0,0,0,10,136,1,0,0,0,12,157,1,0, - 0,0,14,172,1,0,0,0,16,195,1,0,0,0,18,230,1,0,0,0,20,281,1,0,0,0,22,283, - 1,0,0,0,24,302,1,0,0,0,26,317,1,0,0,0,28,332,1,0,0,0,30,351,1,0,0,0,32, - 370,1,0,0,0,34,372,1,0,0,0,36,384,1,0,0,0,38,386,1,0,0,0,40,410,1,0,0, - 0,42,432,1,0,0,0,44,434,1,0,0,0,46,440,1,0,0,0,48,1209,1,0,0,0,50,1211, - 1,0,0,0,52,53,3,48,24,0,53,54,5,1,0,0,54,55,6,0,-1,0,55,60,1,0,0,0,56, - 57,3,48,24,0,57,58,6,0,-1,0,58,60,1,0,0,0,59,52,1,0,0,0,59,56,1,0,0,0, - 60,1,1,0,0,0,61,62,5,2,0,0,62,63,3,0,0,0,63,64,6,1,-1,0,64,66,1,0,0,0, - 65,61,1,0,0,0,66,67,1,0,0,0,67,65,1,0,0,0,67,68,1,0,0,0,68,78,1,0,0,0, - 69,70,5,2,0,0,70,71,3,6,3,0,71,72,6,1,-1,0,72,74,1,0,0,0,73,69,1,0,0,0, - 74,75,1,0,0,0,75,73,1,0,0,0,75,76,1,0,0,0,76,78,1,0,0,0,77,65,1,0,0,0, - 77,73,1,0,0,0,78,3,1,0,0,0,79,80,3,0,0,0,80,84,6,2,-1,0,81,82,3,2,1,0, - 82,83,6,2,-1,0,83,85,1,0,0,0,84,81,1,0,0,0,84,85,1,0,0,0,85,5,1,0,0,0, - 86,87,5,3,0,0,87,88,3,4,2,0,88,89,6,3,-1,0,89,95,1,0,0,0,90,91,5,4,0,0, - 91,92,3,4,2,0,92,93,6,3,-1,0,93,95,1,0,0,0,94,86,1,0,0,0,94,90,1,0,0,0, - 95,110,1,0,0,0,96,97,5,3,0,0,97,98,3,6,3,0,98,99,6,3,-1,0,99,105,1,0,0, - 0,100,101,5,4,0,0,101,102,3,6,3,0,102,103,6,3,-1,0,103,105,1,0,0,0,104, - 96,1,0,0,0,104,100,1,0,0,0,105,110,1,0,0,0,106,107,3,4,2,0,107,108,6,3, - -1,0,108,110,1,0,0,0,109,94,1,0,0,0,109,104,1,0,0,0,109,106,1,0,0,0,110, - 7,1,0,0,0,111,112,3,6,3,0,112,131,6,4,-1,0,113,119,5,5,0,0,114,115,7,0, - 0,0,115,120,6,4,-1,0,116,117,3,6,3,0,117,118,6,4,-1,0,118,120,1,0,0,0, - 119,114,1,0,0,0,119,116,1,0,0,0,120,130,1,0,0,0,121,122,5,8,0,0,122,123, - 3,6,3,0,123,124,6,4,-1,0,124,130,1,0,0,0,125,126,5,9,0,0,126,127,3,6,3, - 0,127,128,6,4,-1,0,128,130,1,0,0,0,129,113,1,0,0,0,129,121,1,0,0,0,129, - 125,1,0,0,0,130,133,1,0,0,0,131,129,1,0,0,0,131,132,1,0,0,0,132,134,1, - 0,0,0,133,131,1,0,0,0,134,135,6,4,-1,0,135,9,1,0,0,0,136,137,3,8,4,0,137, - 152,6,5,-1,0,138,144,5,4,0,0,139,140,7,0,0,0,140,145,6,5,-1,0,141,142, - 3,8,4,0,142,143,6,5,-1,0,143,145,1,0,0,0,144,139,1,0,0,0,144,141,1,0,0, - 0,145,151,1,0,0,0,146,147,5,3,0,0,147,148,3,8,4,0,148,149,6,5,-1,0,149, - 151,1,0,0,0,150,138,1,0,0,0,150,146,1,0,0,0,151,154,1,0,0,0,152,150,1, - 0,0,0,152,153,1,0,0,0,153,155,1,0,0,0,154,152,1,0,0,0,155,156,6,5,-1,0, - 156,11,1,0,0,0,157,158,3,10,5,0,158,169,6,6,-1,0,159,160,5,10,0,0,160, - 161,3,10,5,0,161,162,6,6,-1,0,162,168,1,0,0,0,163,164,5,11,0,0,164,165, - 3,10,5,0,165,166,6,6,-1,0,166,168,1,0,0,0,167,159,1,0,0,0,167,163,1,0, - 0,0,168,171,1,0,0,0,169,167,1,0,0,0,169,170,1,0,0,0,170,13,1,0,0,0,171, - 169,1,0,0,0,172,173,3,12,6,0,173,192,6,7,-1,0,174,175,5,12,0,0,175,176, - 3,12,6,0,176,177,6,7,-1,0,177,191,1,0,0,0,178,179,5,13,0,0,179,180,3,12, - 6,0,180,181,6,7,-1,0,181,191,1,0,0,0,182,183,5,14,0,0,183,184,3,12,6,0, - 184,185,6,7,-1,0,185,191,1,0,0,0,186,187,5,15,0,0,187,188,3,12,6,0,188, - 189,6,7,-1,0,189,191,1,0,0,0,190,174,1,0,0,0,190,178,1,0,0,0,190,182,1, - 0,0,0,190,186,1,0,0,0,191,194,1,0,0,0,192,190,1,0,0,0,192,193,1,0,0,0, - 193,15,1,0,0,0,194,192,1,0,0,0,195,196,3,14,7,0,196,227,6,8,-1,0,197,198, - 5,16,0,0,198,199,3,14,7,0,199,200,6,8,-1,0,200,226,1,0,0,0,201,202,5,17, - 0,0,202,203,3,14,7,0,203,204,6,8,-1,0,204,226,1,0,0,0,205,206,5,18,0,0, - 206,207,3,14,7,0,207,208,6,8,-1,0,208,226,1,0,0,0,209,210,5,19,0,0,210, - 211,3,14,7,0,211,212,6,8,-1,0,212,226,1,0,0,0,213,214,5,20,0,0,214,215, - 3,14,7,0,215,216,6,8,-1,0,216,226,1,0,0,0,217,218,5,21,0,0,218,219,3,14, - 7,0,219,220,6,8,-1,0,220,226,1,0,0,0,221,222,5,22,0,0,222,223,3,14,7,0, - 223,224,6,8,-1,0,224,226,1,0,0,0,225,197,1,0,0,0,225,201,1,0,0,0,225,205, - 1,0,0,0,225,209,1,0,0,0,225,213,1,0,0,0,225,217,1,0,0,0,225,221,1,0,0, - 0,226,229,1,0,0,0,227,225,1,0,0,0,227,228,1,0,0,0,228,17,1,0,0,0,229,227, - 1,0,0,0,230,231,3,16,8,0,231,253,6,9,-1,0,232,233,5,23,0,0,233,247,6,9, - -1,0,234,235,5,24,0,0,235,247,6,9,-1,0,236,237,5,25,0,0,237,247,6,9,-1, - 0,238,239,5,26,0,0,239,247,6,9,-1,0,240,241,5,27,0,0,241,247,6,9,-1,0, - 242,243,5,28,0,0,243,247,6,9,-1,0,244,245,5,29,0,0,245,247,6,9,-1,0,246, - 232,1,0,0,0,246,234,1,0,0,0,246,236,1,0,0,0,246,238,1,0,0,0,246,240,1, - 0,0,0,246,242,1,0,0,0,246,244,1,0,0,0,247,248,1,0,0,0,248,249,3,16,8,0, - 249,250,6,9,-1,0,250,252,1,0,0,0,251,246,1,0,0,0,252,255,1,0,0,0,253,251, - 1,0,0,0,253,254,1,0,0,0,254,262,1,0,0,0,255,253,1,0,0,0,256,257,5,30,0, - 0,257,258,5,9,0,0,258,259,3,16,8,0,259,260,5,31,0,0,260,261,6,9,-1,0,261, - 263,1,0,0,0,262,256,1,0,0,0,262,263,1,0,0,0,263,264,1,0,0,0,264,265,6, - 9,-1,0,265,19,1,0,0,0,266,267,5,32,0,0,267,268,3,18,9,0,268,269,6,10,-1, - 0,269,282,1,0,0,0,270,271,5,32,0,0,271,272,3,20,10,0,272,273,6,10,-1,0, - 273,282,1,0,0,0,274,275,5,32,0,0,275,276,3,34,17,0,276,277,6,10,-1,0,277, - 282,1,0,0,0,278,279,3,18,9,0,279,280,6,10,-1,0,280,282,1,0,0,0,281,266, - 1,0,0,0,281,270,1,0,0,0,281,274,1,0,0,0,281,278,1,0,0,0,282,21,1,0,0,0, - 283,284,3,20,10,0,284,299,6,11,-1,0,285,286,5,33,0,0,286,287,3,20,10,0, - 287,288,6,11,-1,0,288,298,1,0,0,0,289,290,5,34,0,0,290,291,3,20,10,0,291, - 292,6,11,-1,0,292,298,1,0,0,0,293,294,7,1,0,0,294,295,3,34,17,0,295,296, - 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0,1317,1318,6,24,-1,0,1318,1355,1,0,0,0,1319,1320,5,221,0,0,1320,1321, + 3,40,20,0,1321,1322,5,31,0,0,1322,1323,6,24,-1,0,1323,1355,1,0,0,0,1324, + 1325,5,222,0,0,1325,1326,3,40,20,0,1326,1327,5,31,0,0,1327,1328,6,24,-1, + 0,1328,1355,1,0,0,0,1329,1330,5,223,0,0,1330,1331,3,40,20,0,1331,1332, + 5,31,0,0,1332,1333,6,24,-1,0,1333,1355,1,0,0,0,1334,1335,5,224,0,0,1335, + 1336,3,40,20,0,1336,1337,5,31,0,0,1337,1338,6,24,-1,0,1338,1355,1,0,0, + 0,1339,1340,5,225,0,0,1340,1341,3,40,20,0,1341,1342,5,31,0,0,1342,1343, + 6,24,-1,0,1343,1355,1,0,0,0,1344,1345,5,226,0,0,1345,1346,3,40,20,0,1346, + 1347,5,31,0,0,1347,1348,6,24,-1,0,1348,1355,1,0,0,0,1349,1350,5,227,0, + 0,1350,1351,3,40,20,0,1351,1352,5,31,0,0,1352,1353,6,24,-1,0,1353,1355, + 1,0,0,0,1354,446,1,0,0,0,1354,448,1,0,0,0,1354,450,1,0,0,0,1354,452,1, + 0,0,0,1354,454,1,0,0,0,1354,456,1,0,0,0,1354,458,1,0,0,0,1354,460,1,0, + 0,0,1354,465,1,0,0,0,1354,469,1,0,0,0,1354,474,1,0,0,0,1354,479,1,0,0, + 0,1354,484,1,0,0,0,1354,489,1,0,0,0,1354,494,1,0,0,0,1354,499,1,0,0,0, + 1354,504,1,0,0,0,1354,509,1,0,0,0,1354,514,1,0,0,0,1354,519,1,0,0,0,1354, + 524,1,0,0,0,1354,529,1,0,0,0,1354,534,1,0,0,0,1354,539,1,0,0,0,1354,544, + 1,0,0,0,1354,549,1,0,0,0,1354,554,1,0,0,0,1354,559,1,0,0,0,1354,564,1, + 0,0,0,1354,569,1,0,0,0,1354,574,1,0,0,0,1354,579,1,0,0,0,1354,584,1,0, + 0,0,1354,589,1,0,0,0,1354,594,1,0,0,0,1354,599,1,0,0,0,1354,604,1,0,0, + 0,1354,609,1,0,0,0,1354,614,1,0,0,0,1354,619,1,0,0,0,1354,624,1,0,0,0, + 1354,629,1,0,0,0,1354,634,1,0,0,0,1354,639,1,0,0,0,1354,644,1,0,0,0,1354, + 649,1,0,0,0,1354,654,1,0,0,0,1354,659,1,0,0,0,1354,664,1,0,0,0,1354,669, + 1,0,0,0,1354,674,1,0,0,0,1354,679,1,0,0,0,1354,684,1,0,0,0,1354,689,1, + 0,0,0,1354,694,1,0,0,0,1354,699,1,0,0,0,1354,704,1,0,0,0,1354,709,1,0, + 0,0,1354,714,1,0,0,0,1354,719,1,0,0,0,1354,724,1,0,0,0,1354,729,1,0,0, + 0,1354,734,1,0,0,0,1354,739,1,0,0,0,1354,744,1,0,0,0,1354,749,1,0,0,0, + 1354,754,1,0,0,0,1354,759,1,0,0,0,1354,764,1,0,0,0,1354,769,1,0,0,0,1354, + 774,1,0,0,0,1354,779,1,0,0,0,1354,784,1,0,0,0,1354,789,1,0,0,0,1354,794, + 1,0,0,0,1354,799,1,0,0,0,1354,804,1,0,0,0,1354,809,1,0,0,0,1354,814,1, + 0,0,0,1354,819,1,0,0,0,1354,824,1,0,0,0,1354,829,1,0,0,0,1354,834,1,0, + 0,0,1354,839,1,0,0,0,1354,844,1,0,0,0,1354,849,1,0,0,0,1354,854,1,0,0, + 0,1354,859,1,0,0,0,1354,864,1,0,0,0,1354,869,1,0,0,0,1354,874,1,0,0,0, + 1354,879,1,0,0,0,1354,884,1,0,0,0,1354,889,1,0,0,0,1354,894,1,0,0,0,1354, + 899,1,0,0,0,1354,904,1,0,0,0,1354,909,1,0,0,0,1354,914,1,0,0,0,1354,919, + 1,0,0,0,1354,924,1,0,0,0,1354,929,1,0,0,0,1354,934,1,0,0,0,1354,939,1, + 0,0,0,1354,944,1,0,0,0,1354,949,1,0,0,0,1354,954,1,0,0,0,1354,959,1,0, + 0,0,1354,964,1,0,0,0,1354,969,1,0,0,0,1354,974,1,0,0,0,1354,979,1,0,0, + 0,1354,984,1,0,0,0,1354,989,1,0,0,0,1354,994,1,0,0,0,1354,999,1,0,0,0, + 1354,1004,1,0,0,0,1354,1009,1,0,0,0,1354,1014,1,0,0,0,1354,1019,1,0,0, + 0,1354,1024,1,0,0,0,1354,1029,1,0,0,0,1354,1034,1,0,0,0,1354,1039,1,0, + 0,0,1354,1044,1,0,0,0,1354,1049,1,0,0,0,1354,1054,1,0,0,0,1354,1059,1, + 0,0,0,1354,1064,1,0,0,0,1354,1069,1,0,0,0,1354,1074,1,0,0,0,1354,1079, + 1,0,0,0,1354,1084,1,0,0,0,1354,1089,1,0,0,0,1354,1094,1,0,0,0,1354,1099, + 1,0,0,0,1354,1104,1,0,0,0,1354,1109,1,0,0,0,1354,1114,1,0,0,0,1354,1119, + 1,0,0,0,1354,1124,1,0,0,0,1354,1129,1,0,0,0,1354,1134,1,0,0,0,1354,1139, + 1,0,0,0,1354,1144,1,0,0,0,1354,1149,1,0,0,0,1354,1154,1,0,0,0,1354,1159, + 1,0,0,0,1354,1164,1,0,0,0,1354,1169,1,0,0,0,1354,1174,1,0,0,0,1354,1179, + 1,0,0,0,1354,1184,1,0,0,0,1354,1189,1,0,0,0,1354,1194,1,0,0,0,1354,1199, + 1,0,0,0,1354,1204,1,0,0,0,1354,1209,1,0,0,0,1354,1214,1,0,0,0,1354,1219, + 1,0,0,0,1354,1224,1,0,0,0,1354,1229,1,0,0,0,1354,1234,1,0,0,0,1354,1239, + 1,0,0,0,1354,1244,1,0,0,0,1354,1249,1,0,0,0,1354,1254,1,0,0,0,1354,1259, + 1,0,0,0,1354,1264,1,0,0,0,1354,1269,1,0,0,0,1354,1274,1,0,0,0,1354,1279, + 1,0,0,0,1354,1284,1,0,0,0,1354,1289,1,0,0,0,1354,1294,1,0,0,0,1354,1299, + 1,0,0,0,1354,1304,1,0,0,0,1354,1309,1,0,0,0,1354,1314,1,0,0,0,1354,1319, + 1,0,0,0,1354,1324,1,0,0,0,1354,1329,1,0,0,0,1354,1334,1,0,0,0,1354,1339, + 1,0,0,0,1354,1344,1,0,0,0,1354,1349,1,0,0,0,1355,49,1,0,0,0,1356,1357, + 3,32,16,0,1357,1358,5,0,0,1,1358,1359,6,25,-1,0,1359,51,1,0,0,0,44,59, + 67,75,77,84,94,104,109,119,129,131,144,150,152,167,169,190,192,225,227, + 246,253,262,281,297,299,312,314,327,329,346,348,357,365,370,384,394,407, + 410,417,425,429,432,1354 }; public static readonly ATN _ATN = diff --git a/Sources/AngouriMath/Docs/Usage/Syntax.md b/Sources/AngouriMath/Docs/Usage/Syntax.md index 6a77fa9ee..a5f3f1802 100644 --- a/Sources/AngouriMath/Docs/Usage/Syntax.md +++ b/Sources/AngouriMath/Docs/Usage/Syntax.md @@ -484,10 +484,22 @@ of them: `ZZ unite QQ` is `QQ`, `BB intersect ZZ` is `{}`, `ZZ* \ ZZ+` is `{ 0 } `{ x in ZZ : x < 0 }`, `ZZ+ \ PP` is `{ x in ZZ+ : not x in PP }` and `QQ \ ZZ` is `{ x in QQ : not x in ZZ }`. The tokens take the sign: `ZZ*2` no longer reads as `ZZ * 2`. -**Refused by name** — `trunc`. AngouriMath has no such function, and it is what some other -CAS calls one, so a caller reaches for it. Left alone it would be read as a product under the rule -above and answer silently and wrongly; it raises a parse error naming the function instead. Short -names that could be somebody's variable, such as `beta` or `norm`, are *not* refused. +**Refused by name** — `trunc`, and the long names of functions to come: `zeta` `riemannzeta` +`hurwitzzeta` `lambertw` `productlog` `mobius` `moebiusmu` `divisorsigma` `primenu` `primeomega` +`primepi` `harmonicnumber` `catalannumber` `multinomial` `fallingfactorial` `factorialpower` +`risingfactorial` `forwarddifference` `laplacian` `jacobian` `hessian`. Each is what some other +system calls a function, so a caller reaches for it, and left alone it would be read as a product +under the rule above and answer silently and wrongly, `zeta(2)` as `2 * zeta`; it raises a parse +error naming the function instead. What each will mean is fixed in +[#2182](https://github.com/asc-community/AngouriMath/issues/2182). + +Some names will not be functions, because what they mean differs between sources or is already +written exactly, and are refused with the spelling to use. `heaviside` takes `0`, `1/2` or `1` at +`0` by source: write `iverson(x > 0)`, `iverson(x >= 0)` or `(1 + sgn(x))/2`; `unitstep` is +`iverson(x >= 0)`. `isprime(n)` is `n in PP`, `fractionalpart(x)` is `x mod 1`, +`quotient(a, b)` is `floor(a / b)`, and `pochhammer` is the rising factorial to some authors and the +falling one to others. Short names that could be somebody's variable, such as `beta` or `norm`, are +not refused. ## `sum` and `product`, which declare a name diff --git a/Sources/MCP/AngouriMath.Mcp/Resources.cs b/Sources/MCP/AngouriMath.Mcp/Resources.cs index 49373ee74..36570b43f 100644 --- a/Sources/MCP/AngouriMath.Mcp/Resources.cs +++ b/Sources/MCP/AngouriMath.Mcp/Resources.cs @@ -113,7 +113,8 @@ apply lambda` | You might write | Reality | |---|---| | `arcsinh(x)` | **refused.** The inverse hyperbolics are area functions: write `arsinh`, `asinh` or `arsh` | - | `trunc` | refused by name — the library has no such function | + | `trunc`, `zeta`, `lambertw`, `mobius`, `divisorsigma`, `primepi`, `harmonicnumber`, `catalannumber`, `multinomial`, `fallingfactorial`, `risingfactorial` and other long names of functions to come | refused by name — not yet in the library | + | `heaviside`, `unitstep`, `isprime`, `fractionalpart`, `quotient`, `pochhammer` | refused, with what to write: `iverson(x > 0)`, `iverson(x >= 0)` or `(1 + sgn(x))/2`; `n in PP`; `x mod 1`; `floor(a / b)` | | `elementin(x, A)`, `setsubtraction(A, B)`, `impl(a, b)` | **silently become products.** Use the infix `x in A`, `A \ B`, `a -> b` | | `union(A, B)`, `intersection(A, B)` | refused: both are indexed, `union(A_i, i in I)`. For two sets write `A \/ B` and `A /\ B` | | `7 mod 3` | `mod` is FLOORED: `-7 mod 3` is `2`, not `-1` | diff --git a/Sources/Tests/UnitTests/Convenience/MissingFunctionNamesRefusedTest.cs b/Sources/Tests/UnitTests/Convenience/MissingFunctionNamesRefusedTest.cs index 3eecf95d5..a6df013ed 100644 --- a/Sources/Tests/UnitTests/Convenience/MissingFunctionNamesRefusedTest.cs +++ b/Sources/Tests/UnitTests/Convenience/MissingFunctionNamesRefusedTest.cs @@ -33,8 +33,41 @@ public sealed class MissingFunctionNamesRefusedTest // https://github.com/asc-community/AngouriMath/issues/2136, since arg(z) was arg * z; // conjugate, conj and arg until https://github.com/asc-community/AngouriMath/issues/2145, // and det until https://github.com/asc-community/AngouriMath/issues/2147. + // And the long names of the functions to come, reserved until each is implemented, and the + // names that will not be functions, refused with the spelling to use: + // https://github.com/asc-community/AngouriMath/issues/2182. zeta(s) was zeta * s. [Theory] [InlineData("trunc(x)")] + [InlineData("zeta(s)")] + [InlineData("zeta(s, a)")] + [InlineData("riemannzeta(s)")] + [InlineData("hurwitzzeta(s, a)")] + [InlineData("lambertw(x)")] + [InlineData("productlog(x)")] + [InlineData("mobius(n)")] + [InlineData("moebiusmu(n)")] + [InlineData("divisorsigma(k, n)")] + [InlineData("primenu(n)")] + [InlineData("primeomega(n)")] + [InlineData("primepi(n)")] + [InlineData("harmonicnumber(n)")] + [InlineData("catalannumber(n)")] + [InlineData("multinomial(a, b, c)")] + [InlineData("fallingfactorial(x, k)")] + [InlineData("factorialpower(x, k)")] + [InlineData("risingfactorial(x, k)")] + [InlineData("forwarddifference(f, k)")] + [InlineData("laplacian(f, x)")] + [InlineData("jacobian(f, x)")] + [InlineData("hessian(f, x)")] + [InlineData("heaviside(x)")] + [InlineData("unitstep(x)")] + [InlineData("isprime(n)")] + [InlineData("pochhammer(x, k)")] + [InlineData("doublefactorial(n)")] + [InlineData("factorial2(n)")] + [InlineData("fractionalpart(x)")] + [InlineData("quotient(a, b)")] public void ANameTheLibraryDoesNotHaveIsRefused(string written) => Assert.Throws(() => written.ToEntity()); @@ -45,6 +78,7 @@ public void ANameTheLibraryDoesNotHaveIsRefused(string written) => [Theory] [InlineData("re * (x + 1)", "re * (x + 1)")] [InlineData("im + arg", "im + arg")] + [InlineData("zeta + quotient * 2", "zeta + quotient * 2")] [InlineData("rect(x)", "rect * x")] public void TheSameNameWithoutTheBracketIsStillAVariable(string written, string expected) => Assert.Equal(expected, written.ToEntity().Stringize()); @@ -55,6 +89,11 @@ public void TheSameNameWithoutTheBracketIsStillAVariable(string written, string /// [Theory] [InlineData("trunc(x)", "trunc")] + [InlineData("zeta(s)", "zeta")] + [InlineData("isprime(n)", "n in PP")] + [InlineData("heaviside(x)", "iverson(x >= 0)")] + [InlineData("fractionalpart(x)", "x mod 1")] + [InlineData("pochhammer(x, k)", "risingfactorial")] public void TheRefusalNamesTheFunction(string written, string name) => Assert.Contains(name, Assert.Throws(() => written.ToEntity()).Message);