From 85940fe877aab7e20293e36cc4e9204f0772c81d Mon Sep 17 00:00:00 2001 From: Rafael Vuijk Date: Wed, 28 Oct 2026 23:22:09 +0000 Subject: [PATCH] The falling and the rising factorial fallingfactorial(x, n), also factorialpower(x, n), Mathematica's name, and risingfactorial(x, n) were reserved by name in #2184 and are now Entity.FallingFactorialf and Entity.RisingFactorialf, built by MathS.FallingFactorial and MathS.RisingFactorial. For a whole n >= 0 they are x (x - 1) ... (x - n + 1) and x (x + 1) ... (x + n - 1), x to the n falling and rising, computed exactly for any number x. For a negative whole n they are the reciprocals of (x + 1) ... (x - n) and (x - 1) ... (x + n), (2.52) in Graham, Knuth and Patashnik's Concrete Mathematics, with no value where a factor vanishes. For any other n they are Gamma(x + 1)/Gamma(x - n + 1) and Gamma(x + n)/Gamma(x), as Mathematica's FactorialPower and Pochhammer are, evaluated numerically: no value at a pole of the numerator, and 0 at one of the denominator. fallingfactorial(5, 1/2) agrees with mpmath to 1e-20. risingfactorial(x, n) is fallingfactorial(x + n - 1, n), and binomial(n, k) is fallingfactorial(n, k)/k!. They draw with Knuth's bars, x^{\underline{n}} and x^{\overline{n}}, and export to SymPy's ff and rf. A conjugate as the whole exponent of a power is drawn in brackets, x^{\left(\overline{n}\right)}, since x^{\overline{n}} is the rising factorial. pochhammer stays refused, (x)_n being the rising factorial to some authors and the falling one to others. Part of #2182. Co-Authored-By: Claude Opus 5.5 (1M context) Claude-Session: https://claude.ai/code/session_012sonx8iAspMiwRwokT1Ura --- BREAKING-CHANGES.md | 22 +- Sources/.editorconfig | 3 + Sources/AngouriMath/Convenience/MathS.cs | 8 + Sources/AngouriMath/Core/Antlr/AngouriMath.g | 6 +- .../AngouriMath/Core/Antlr/AngouriMath.interp | 6 +- .../AngouriMath/Core/Antlr/AngouriMath.tokens | 84 ++-- .../Core/Antlr/AngouriMathLexer.cs | 467 +++++++++--------- .../Core/Antlr/AngouriMathLexer.interp | 8 +- .../Core/Antlr/AngouriMathLexer.tokens | 84 ++-- .../Core/Antlr/AngouriMathParser.cs | 100 ++-- Sources/AngouriMath/Core/Domains.Classes.cs | 16 + .../Entity.Continuous.Factorial.Classes.cs | 46 ++ .../Serialization/Entity.Serialization.cs | 2 + .../Transformations/Matching/MatchPattern.cs | 2 + .../Docs/Contributing/WritingARule.md | 2 +- Sources/AngouriMath/Docs/Usage/Syntax.md | 17 +- .../EquationSolver/InvertNode.Classes.cs | 16 + ...aluation.Continuous.Arithmetics.Classes.cs | 85 ++++ .../Output/Latex/Latex.Arithmetics.Classes.cs | 23 +- .../ToString/ToString.Arithmetics.Classes.cs | 16 + .../ToSympy/ToSympy.Arithmetics.Classes.cs | 10 + Sources/AngouriMath/Functions/Substitute.cs | 14 + .../Functions/TreeAnalyzer/Sort.Classes.cs | 10 + Sources/MCP/AngouriMath.Mcp/Resources.cs | 3 +- Sources/Tests/AotSmokeTest/Program.cs | 4 + Sources/Tests/UnitTests/Common/PublicApi.txt | 46 ++ .../Convenience/FactorialPowerTest.cs | 123 +++++ .../MissingFunctionNamesRefusedTest.cs | 8 +- .../Transformations/RuleAuthoringGuideTest.cs | 2 +- 29 files changed, 841 insertions(+), 392 deletions(-) create mode 100644 Sources/Tests/UnitTests/Convenience/FactorialPowerTest.cs diff --git a/BREAKING-CHANGES.md b/BREAKING-CHANGES.md index 2b9948e17..76adbf7d9 100644 --- a/BREAKING-CHANGES.md +++ b/BREAKING-CHANGES.md @@ -339,7 +339,9 @@ were read as products or refused.** A name the parser does not know, followed by `Entity.Conjugatef`, carried through sums, differences, products, quotients and whole powers and not through a root or a logarithm; `arg(z)` is `Entity.Argf`, in `(-pi, pi]`, with no value at `0` ([#2136](https://github.com/asc-community/AngouriMath/issues/2136), -[#2145](https://github.com/asc-community/AngouriMath/issues/2145)). `re` and `im` are still read as products. +[#2145](https://github.com/asc-community/AngouriMath/issues/2145)). The conjugate is drawn as `\overline{z}`, and as +the whole exponent of a power in brackets, `x^{\left(\overline{n}\right)}`, since `x^{\overline{n}}` is the rising +factorial ([#2182](https://github.com/asc-community/AngouriMath/issues/2182)). | Input | Was (2.6.0) | Now | |---|---|---| @@ -452,8 +454,8 @@ the right shape, written out or once its operations are carried out, throws `Inv **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`, `harmonicnumber`, `catalannumber`, `multinomial`, `fallingfactorial`, `factorialpower`, -`risingfactorial` and `forwarddifference`. Names that will not be functions, +is: `zeta`, `riemannzeta`, `hurwitzzeta`, `lambertw`, `productlog`, `harmonicnumber`, `catalannumber`, `multinomial` and +`forwarddifference`. 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 @@ -501,6 +503,20 @@ is ([#2182](https://github.com/asc-community/AngouriMath/issues/2182)). | `"hessian(x^3 y^2, [x, y])".ToEntity().Simplify()` | throws `UnhandledParseException` | `[[6 * x * y ^ 2, 6 * x ^ 2 * y], [6 * x ^ 2 * y, 2 * x ^ 3]]` | | `"jacobian(x y, {x, y})".ToEntity()` | throws `UnhandledParseException` | throws `InvalidArgumentParseException`: a set has no order for the columns | +### The falling and the rising factorial + +**Not silent: `fallingfactorial(x, n)`, also `factorialpower(x, n)`, and `risingfactorial(x, n)` are functions, where +they were a parse error.** For a whole `n >= 0` they are `x (x - 1) ... (x - n + 1)` and `x (x + 1) ... (x + n - 1)`. For a +negative whole `n` they are reciprocals of products, and for any other `n` they are the gamma ratios `Γ(x + 1)/Γ(x - n + 1)` +and `Γ(x + n)/Γ(x)`. LaTeX draws them with Knuth's bars, `x^{\underline{n}}` and `x^{\overline{n}}` +([#2182](https://github.com/asc-community/AngouriMath/issues/2182)). + +| Input | Was (2.6.0) | Now | +|---|---|---| +| `"fallingfactorial(5, 2)".ToEntity().Simplify()` | throws `UnhandledParseException` | `20` | +| `"risingfactorial(3, 2)".ToEntity().Simplify()` | throws `UnhandledParseException` | `12` | +| `"fallingfactorial(5, 1/2)".ToEntity().EvalNumerical()` | throws `UnhandledParseException` | `2.29257989505120015013822761269...` | + ### 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/.editorconfig b/Sources/.editorconfig index 5df65ff31..320603fd8 100644 --- a/Sources/.editorconfig +++ b/Sources/.editorconfig @@ -811,3 +811,6 @@ file_header_template=\nCopyright (c) 2019-2026 Angouri.\nAngouriMath is licensed [Tests/UnitTests/Convenience/VectorCalculusTest.cs] file_header_template=\nCopyright (c) 2019-2026 Angouri.\nAngouriMath is licensed under MIT.\nDetails: https://github.com/asc-community/AngouriMath/blob/master/LICENSE.md.\nWebsite: https://am.angouri.org.\n + +[Tests/UnitTests/Convenience/FactorialPowerTest.cs] +file_header_template=\nCopyright (c) 2019-2026 Angouri.\nAngouriMath is licensed under MIT.\nDetails: https://github.com/asc-community/AngouriMath/blob/master/LICENSE.md.\nWebsite: https://am.angouri.org.\n diff --git a/Sources/AngouriMath/Convenience/MathS.cs b/Sources/AngouriMath/Convenience/MathS.cs index fb221da80..942454ddd 100644 --- a/Sources/AngouriMath/Convenience/MathS.cs +++ b/Sources/AngouriMath/Convenience/MathS.cs @@ -1387,6 +1387,14 @@ public static Entity VectorLength(Matrix v) [MethodImpl(MethodImplOptions.AggressiveInlining)] public static Entity Binomial(Entity n, Entity k) => new Binomialf(n, k); + /// The falling factorial x (x - 1) ... (x - n + 1), x^{\underline{n}} + /// https://github.com/asc-community/AngouriMath/issues/2182 + public static Entity FallingFactorial(Entity x, Entity n) => new FallingFactorialf(x, n); + + /// The rising factorial x (x + 1) ... (x + n - 1), x^{\overline{n}} + /// https://github.com/asc-community/AngouriMath/issues/2182 + public static Entity RisingFactorial(Entity x, Entity n) => new RisingFactorialf(x, n); + /// The Iverson bracket iverson(P): 1 where the statement holds, 0 where it does not /// The statement /// The node diff --git a/Sources/AngouriMath/Core/Antlr/AngouriMath.g b/Sources/AngouriMath/Core/Antlr/AngouriMath.g index 8661376c7..4617a5d94 100644 --- a/Sources/AngouriMath/Core/Antlr/AngouriMath.g +++ b/Sources/AngouriMath/Core/Antlr/AngouriMath.g @@ -625,6 +625,9 @@ atom returns[Entity value] | 'gcd(' args = function_arguments ')' { AssertAtLeast("gcd", 1, $args.list.Count); $value = $args.list.Aggregate((a, b) => MathS.Gcd(a, b)); } | 'lcm(' args = function_arguments ')' { AssertAtLeast("lcm", 1, $args.list.Count); $value = $args.list.Aggregate((a, b) => MathS.Lcm(a, b)); } | 'binomial(' args = function_arguments ')' { Assert("binomial", 2, $args.list.Count); $value = MathS.Binomial($args.list[0], $args.list[1]); } + | 'fallingfactorial(' args = function_arguments ')' { Assert("fallingfactorial", 2, $args.list.Count); $value = MathS.FallingFactorial($args.list[0], $args.list[1]); } + | 'factorialpower(' args = function_arguments ')' { Assert("factorialpower", 2, $args.list.Count); $value = MathS.FallingFactorial($args.list[0], $args.list[1]); } + | 'risingfactorial(' args = function_arguments ')' { Assert("risingfactorial", 2, $args.list.Count); $value = MathS.RisingFactorial($args.list[0], $args.list[1]); } /* The Iverson bracket, 1 where a statement holds and 0 where it does not: a count written as a sum. https://github.com/asc-community/AngouriMath/issues/1478 */ | 'iverson(' args = function_arguments ')' { Assert("iverson", 1, $args.list.Count); $value = MathS.Iverson($args.list[0]); } @@ -693,9 +696,6 @@ atom returns[Entity value] | '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"); } /* 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. */ diff --git a/Sources/AngouriMath/Core/Antlr/AngouriMath.interp b/Sources/AngouriMath/Core/Antlr/AngouriMath.interp index fd95aff59..d7aa67420 100644 --- a/Sources/AngouriMath/Core/Antlr/AngouriMath.interp +++ b/Sources/AngouriMath/Core/Antlr/AngouriMath.interp @@ -174,6 +174,9 @@ null 'gcd(' 'lcm(' 'binomial(' +'fallingfactorial(' +'factorialpower(' +'risingfactorial(' 'iverson(' 'aleph(' 'erf(' @@ -213,9 +216,6 @@ null 'harmonicnumber(' 'catalannumber(' 'multinomial(' -'fallingfactorial(' -'factorialpower(' -'risingfactorial(' 'forwarddifference(' 'heaviside(' 'unitstep(' diff --git a/Sources/AngouriMath/Core/Antlr/AngouriMath.tokens b/Sources/AngouriMath/Core/Antlr/AngouriMath.tokens index 9ef455f36..a5b025421 100644 --- a/Sources/AngouriMath/Core/Antlr/AngouriMath.tokens +++ b/Sources/AngouriMath/Core/Antlr/AngouriMath.tokens @@ -409,48 +409,48 @@ WS=237 'gcd('=172 'lcm('=173 'binomial('=174 -'iverson('=175 -'aleph('=176 -'erf('=177 -'erfc('=178 -'erfi('=179 -'Ei('=180 -'li('=181 -'polygamma('=182 -'digamma('=183 -'Si('=184 -'Ci('=185 -'Shi('=186 -'Chi('=187 -'det('=188 -'transpose('=189 -'dot('=190 -'cross('=191 -'laplacian('=192 -'jacobian('=193 -'hessian('=194 -'resultant('=195 -'conjugate('=196 -'conj('=197 -'arg('=198 -'Re('=199 -'Im('=200 -'re('=201 -'real('=202 -'im('=203 -'imag('=204 -'trunc('=205 -'zeta('=206 -'riemannzeta('=207 -'hurwitzzeta('=208 -'lambertw('=209 -'productlog('=210 -'harmonicnumber('=211 -'catalannumber('=212 -'multinomial('=213 -'fallingfactorial('=214 -'factorialpower('=215 -'risingfactorial('=216 +'fallingfactorial('=175 +'factorialpower('=176 +'risingfactorial('=177 +'iverson('=178 +'aleph('=179 +'erf('=180 +'erfc('=181 +'erfi('=182 +'Ei('=183 +'li('=184 +'polygamma('=185 +'digamma('=186 +'Si('=187 +'Ci('=188 +'Shi('=189 +'Chi('=190 +'det('=191 +'transpose('=192 +'dot('=193 +'cross('=194 +'laplacian('=195 +'jacobian('=196 +'hessian('=197 +'resultant('=198 +'conjugate('=199 +'conj('=200 +'arg('=201 +'Re('=202 +'Im('=203 +'re('=204 +'real('=205 +'im('=206 +'imag('=207 +'trunc('=208 +'zeta('=209 +'riemannzeta('=210 +'hurwitzzeta('=211 +'lambertw('=212 +'productlog('=213 +'harmonicnumber('=214 +'catalannumber('=215 +'multinomial('=216 'forwarddifference('=217 'heaviside('=218 'unitstep('=219 diff --git a/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.cs b/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.cs index 9786c735d..7d04d57ec 100644 --- a/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.cs +++ b/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.cs @@ -158,14 +158,14 @@ public AngouriMathLexer(ICharStream input, TextWriter output, TextWriter errorOu "'card('", "'powerset('", "'union('", "'intersection('", "'complement('", "'image('", "'preimage('", "'floor('", "'ceil('", "'ceiling('", "'round('", "'min('", "'max('", "'argmax('", "'argmin('", "'gcd('", "'lcm('", "'binomial('", - "'iverson('", "'aleph('", "'erf('", "'erfc('", "'erfi('", "'Ei('", "'li('", - "'polygamma('", "'digamma('", "'Si('", "'Ci('", "'Shi('", "'Chi('", "'det('", - "'transpose('", "'dot('", "'cross('", "'laplacian('", "'jacobian('", "'hessian('", - "'resultant('", "'conjugate('", "'conj('", "'arg('", "'Re('", "'Im('", - "'re('", "'real('", "'im('", "'imag('", "'trunc('", "'zeta('", "'riemannzeta('", - "'hurwitzzeta('", "'lambertw('", "'productlog('", "'harmonicnumber('", - "'catalannumber('", "'multinomial('", "'fallingfactorial('", "'factorialpower('", - "'risingfactorial('", "'forwarddifference('", "'heaviside('", "'unitstep('", + "'fallingfactorial('", "'factorialpower('", "'risingfactorial('", "'iverson('", + "'aleph('", "'erf('", "'erfc('", "'erfi('", "'Ei('", "'li('", "'polygamma('", + "'digamma('", "'Si('", "'Ci('", "'Shi('", "'Chi('", "'det('", "'transpose('", + "'dot('", "'cross('", "'laplacian('", "'jacobian('", "'hessian('", "'resultant('", + "'conjugate('", "'conj('", "'arg('", "'Re('", "'Im('", "'re('", "'real('", + "'im('", "'imag('", "'trunc('", "'zeta('", "'riemannzeta('", "'hurwitzzeta('", + "'lambertw('", "'productlog('", "'harmonicnumber('", "'catalannumber('", + "'multinomial('", "'forwarddifference('", "'heaviside('", "'unitstep('", "'isprime('", "'pochhammer('", "'doublefactorial('", "'factorial2('", "'fractionalpart('", "'quotient('", "'domain('", "'piecewise('", "'apply('", "'lambda('", null, null, null, null, "'NaN'" @@ -341,35 +341,35 @@ static AngouriMathLexer() { 1,169,1,169,1,169,1,169,1,169,1,169,1,170,1,170,1,170,1,170,1,170,1,170, 1,170,1,170,1,171,1,171,1,171,1,171,1,171,1,172,1,172,1,172,1,172,1,172, 1,173,1,173,1,173,1,173,1,173,1,173,1,173,1,173,1,173,1,173,1,174,1,174, - 1,174,1,174,1,174,1,174,1,174,1,174,1,174,1,175,1,175,1,175,1,175,1,175, - 1,175,1,175,1,176,1,176,1,176,1,176,1,176,1,177,1,177,1,177,1,177,1,177, - 1,177,1,178,1,178,1,178,1,178,1,178,1,178,1,179,1,179,1,179,1,179,1,180, - 1,180,1,180,1,180,1,181,1,181,1,181,1,181,1,181,1,181,1,181,1,181,1,181, - 1,181,1,181,1,182,1,182,1,182,1,182,1,182,1,182,1,182,1,182,1,182,1,183, - 1,183,1,183,1,183,1,184,1,184,1,184,1,184,1,185,1,185,1,185,1,185,1,185, - 1,186,1,186,1,186,1,186,1,186,1,187,1,187,1,187,1,187,1,187,1,188,1,188, - 1,188,1,188,1,188,1,188,1,188,1,188,1,188,1,188,1,188,1,189,1,189,1,189, - 1,189,1,189,1,190,1,190,1,190,1,190,1,190,1,190,1,190,1,191,1,191,1,191, - 1,191,1,191,1,191,1,191,1,191,1,191,1,191,1,191,1,192,1,192,1,192,1,192, - 1,192,1,192,1,192,1,192,1,192,1,192,1,193,1,193,1,193,1,193,1,193,1,193, - 1,193,1,193,1,193,1,194,1,194,1,194,1,194,1,194,1,194,1,194,1,194,1,194, - 1,194,1,194,1,195,1,195,1,195,1,195,1,195,1,195,1,195,1,195,1,195,1,195, - 1,195,1,196,1,196,1,196,1,196,1,196,1,196,1,197,1,197,1,197,1,197,1,197, - 1,198,1,198,1,198,1,198,1,199,1,199,1,199,1,199,1,200,1,200,1,200,1,200, - 1,201,1,201,1,201,1,201,1,201,1,201,1,202,1,202,1,202,1,202,1,203,1,203, - 1,203,1,203,1,203,1,203,1,204,1,204,1,204,1,204,1,204,1,204,1,204,1,205, - 1,205,1,205,1,205,1,205,1,205,1,206,1,206,1,206,1,206,1,206,1,206,1,206, - 1,206,1,206,1,206,1,206,1,206,1,206,1,207,1,207,1,207,1,207,1,207,1,207, - 1,207,1,207,1,207,1,207,1,207,1,207,1,207,1,208,1,208,1,208,1,208,1,208, - 1,208,1,208,1,208,1,208,1,208,1,209,1,209,1,209,1,209,1,209,1,209,1,209, - 1,209,1,209,1,209,1,209,1,209,1,210,1,210,1,210,1,210,1,210,1,210,1,210, - 1,210,1,210,1,210,1,210,1,210,1,210,1,210,1,210,1,210,1,211,1,211,1,211, - 1,211,1,211,1,211,1,211,1,211,1,211,1,211,1,211,1,211,1,211,1,211,1,211, - 1,212,1,212,1,212,1,212,1,212,1,212,1,212,1,212,1,212,1,212,1,212,1,212, - 1,212,1,213,1,213,1,213,1,213,1,213,1,213,1,213,1,213,1,213,1,213,1,213, - 1,213,1,213,1,213,1,213,1,213,1,213,1,213,1,214,1,214,1,214,1,214,1,214, - 1,214,1,214,1,214,1,214,1,214,1,214,1,214,1,214,1,214,1,214,1,214,1,215, - 1,215,1,215,1,215,1,215,1,215,1,215,1,215,1,215,1,215,1,215,1,215,1,215, + 1,174,1,174,1,174,1,174,1,174,1,174,1,174,1,174,1,174,1,174,1,174,1,174, + 1,174,1,174,1,174,1,174,1,175,1,175,1,175,1,175,1,175,1,175,1,175,1,175, + 1,175,1,175,1,175,1,175,1,175,1,175,1,175,1,175,1,176,1,176,1,176,1,176, + 1,176,1,176,1,176,1,176,1,176,1,176,1,176,1,176,1,176,1,176,1,176,1,176, + 1,176,1,177,1,177,1,177,1,177,1,177,1,177,1,177,1,177,1,177,1,178,1,178, + 1,178,1,178,1,178,1,178,1,178,1,179,1,179,1,179,1,179,1,179,1,180,1,180, + 1,180,1,180,1,180,1,180,1,181,1,181,1,181,1,181,1,181,1,181,1,182,1,182, + 1,182,1,182,1,183,1,183,1,183,1,183,1,184,1,184,1,184,1,184,1,184,1,184, + 1,184,1,184,1,184,1,184,1,184,1,185,1,185,1,185,1,185,1,185,1,185,1,185, + 1,185,1,185,1,186,1,186,1,186,1,186,1,187,1,187,1,187,1,187,1,188,1,188, + 1,188,1,188,1,188,1,189,1,189,1,189,1,189,1,189,1,190,1,190,1,190,1,190, + 1,190,1,191,1,191,1,191,1,191,1,191,1,191,1,191,1,191,1,191,1,191,1,191, + 1,192,1,192,1,192,1,192,1,192,1,193,1,193,1,193,1,193,1,193,1,193,1,193, + 1,194,1,194,1,194,1,194,1,194,1,194,1,194,1,194,1,194,1,194,1,194,1,195, + 1,195,1,195,1,195,1,195,1,195,1,195,1,195,1,195,1,195,1,196,1,196,1,196, + 1,196,1,196,1,196,1,196,1,196,1,196,1,197,1,197,1,197,1,197,1,197,1,197, + 1,197,1,197,1,197,1,197,1,197,1,198,1,198,1,198,1,198,1,198,1,198,1,198, + 1,198,1,198,1,198,1,198,1,199,1,199,1,199,1,199,1,199,1,199,1,200,1,200, + 1,200,1,200,1,200,1,201,1,201,1,201,1,201,1,202,1,202,1,202,1,202,1,203, + 1,203,1,203,1,203,1,204,1,204,1,204,1,204,1,204,1,204,1,205,1,205,1,205, + 1,205,1,206,1,206,1,206,1,206,1,206,1,206,1,207,1,207,1,207,1,207,1,207, + 1,207,1,207,1,208,1,208,1,208,1,208,1,208,1,208,1,209,1,209,1,209,1,209, + 1,209,1,209,1,209,1,209,1,209,1,209,1,209,1,209,1,209,1,210,1,210,1,210, + 1,210,1,210,1,210,1,210,1,210,1,210,1,210,1,210,1,210,1,210,1,211,1,211, + 1,211,1,211,1,211,1,211,1,211,1,211,1,211,1,211,1,212,1,212,1,212,1,212, + 1,212,1,212,1,212,1,212,1,212,1,212,1,212,1,212,1,213,1,213,1,213,1,213, + 1,213,1,213,1,213,1,213,1,213,1,213,1,213,1,213,1,213,1,213,1,213,1,213, + 1,214,1,214,1,214,1,214,1,214,1,214,1,214,1,214,1,214,1,214,1,214,1,214, + 1,214,1,214,1,214,1,215,1,215,1,215,1,215,1,215,1,215,1,215,1,215,1,215, 1,215,1,215,1,215,1,215,1,216,1,216,1,216,1,216,1,216,1,216,1,216,1,216, 1,216,1,216,1,216,1,216,1,216,1,216,1,216,1,216,1,216,1,216,1,216,1,217, 1,217,1,217,1,217,1,217,1,217,1,217,1,217,1,217,1,217,1,217,1,218,1,218, @@ -511,16 +511,16 @@ static AngouriMathLexer() { 1446,1,0,0,0,325,1453,1,0,0,0,327,1463,1,0,0,0,329,1470,1,0,0,0,331,1476, 1,0,0,0,333,1485,1,0,0,0,335,1492,1,0,0,0,337,1497,1,0,0,0,339,1502,1, 0,0,0,341,1510,1,0,0,0,343,1518,1,0,0,0,345,1523,1,0,0,0,347,1528,1,0, - 0,0,349,1538,1,0,0,0,351,1547,1,0,0,0,353,1554,1,0,0,0,355,1559,1,0,0, - 0,357,1565,1,0,0,0,359,1571,1,0,0,0,361,1575,1,0,0,0,363,1579,1,0,0,0, - 365,1590,1,0,0,0,367,1599,1,0,0,0,369,1603,1,0,0,0,371,1607,1,0,0,0,373, - 1612,1,0,0,0,375,1617,1,0,0,0,377,1622,1,0,0,0,379,1633,1,0,0,0,381,1638, - 1,0,0,0,383,1645,1,0,0,0,385,1656,1,0,0,0,387,1666,1,0,0,0,389,1675,1, - 0,0,0,391,1686,1,0,0,0,393,1697,1,0,0,0,395,1703,1,0,0,0,397,1708,1,0, - 0,0,399,1712,1,0,0,0,401,1716,1,0,0,0,403,1720,1,0,0,0,405,1726,1,0,0, - 0,407,1730,1,0,0,0,409,1736,1,0,0,0,411,1743,1,0,0,0,413,1749,1,0,0,0, - 415,1762,1,0,0,0,417,1775,1,0,0,0,419,1785,1,0,0,0,421,1797,1,0,0,0,423, - 1813,1,0,0,0,425,1828,1,0,0,0,427,1841,1,0,0,0,429,1859,1,0,0,0,431,1875, + 0,0,349,1538,1,0,0,0,351,1556,1,0,0,0,353,1572,1,0,0,0,355,1589,1,0,0, + 0,357,1598,1,0,0,0,359,1605,1,0,0,0,361,1610,1,0,0,0,363,1616,1,0,0,0, + 365,1622,1,0,0,0,367,1626,1,0,0,0,369,1630,1,0,0,0,371,1641,1,0,0,0,373, + 1650,1,0,0,0,375,1654,1,0,0,0,377,1658,1,0,0,0,379,1663,1,0,0,0,381,1668, + 1,0,0,0,383,1673,1,0,0,0,385,1684,1,0,0,0,387,1689,1,0,0,0,389,1696,1, + 0,0,0,391,1707,1,0,0,0,393,1717,1,0,0,0,395,1726,1,0,0,0,397,1737,1,0, + 0,0,399,1748,1,0,0,0,401,1754,1,0,0,0,403,1759,1,0,0,0,405,1763,1,0,0, + 0,407,1767,1,0,0,0,409,1771,1,0,0,0,411,1777,1,0,0,0,413,1781,1,0,0,0, + 415,1787,1,0,0,0,417,1794,1,0,0,0,419,1800,1,0,0,0,421,1813,1,0,0,0,423, + 1826,1,0,0,0,425,1836,1,0,0,0,427,1848,1,0,0,0,429,1864,1,0,0,0,431,1879, 1,0,0,0,433,1892,1,0,0,0,435,1911,1,0,0,0,437,1922,1,0,0,0,439,1932,1, 0,0,0,441,1941,1,0,0,0,443,1953,1,0,0,0,445,1970,1,0,0,0,447,1982,1,0, 0,0,449,1998,1,0,0,0,451,2008,1,0,0,0,453,2016,1,0,0,0,455,2027,1,0,0, @@ -798,193 +798,192 @@ static AngouriMathLexer() { 1526,1527,5,40,0,0,1527,346,1,0,0,0,1528,1529,5,98,0,0,1529,1530,5,105, 0,0,1530,1531,5,110,0,0,1531,1532,5,111,0,0,1532,1533,5,109,0,0,1533,1534, 5,105,0,0,1534,1535,5,97,0,0,1535,1536,5,108,0,0,1536,1537,5,40,0,0,1537, - 348,1,0,0,0,1538,1539,5,105,0,0,1539,1540,5,118,0,0,1540,1541,5,101,0, - 0,1541,1542,5,114,0,0,1542,1543,5,115,0,0,1543,1544,5,111,0,0,1544,1545, - 5,110,0,0,1545,1546,5,40,0,0,1546,350,1,0,0,0,1547,1548,5,97,0,0,1548, - 1549,5,108,0,0,1549,1550,5,101,0,0,1550,1551,5,112,0,0,1551,1552,5,104, - 0,0,1552,1553,5,40,0,0,1553,352,1,0,0,0,1554,1555,5,101,0,0,1555,1556, - 5,114,0,0,1556,1557,5,102,0,0,1557,1558,5,40,0,0,1558,354,1,0,0,0,1559, - 1560,5,101,0,0,1560,1561,5,114,0,0,1561,1562,5,102,0,0,1562,1563,5,99, - 0,0,1563,1564,5,40,0,0,1564,356,1,0,0,0,1565,1566,5,101,0,0,1566,1567, - 5,114,0,0,1567,1568,5,102,0,0,1568,1569,5,105,0,0,1569,1570,5,40,0,0,1570, - 358,1,0,0,0,1571,1572,5,69,0,0,1572,1573,5,105,0,0,1573,1574,5,40,0,0, - 1574,360,1,0,0,0,1575,1576,5,108,0,0,1576,1577,5,105,0,0,1577,1578,5,40, - 0,0,1578,362,1,0,0,0,1579,1580,5,112,0,0,1580,1581,5,111,0,0,1581,1582, - 5,108,0,0,1582,1583,5,121,0,0,1583,1584,5,103,0,0,1584,1585,5,97,0,0,1585, - 1586,5,109,0,0,1586,1587,5,109,0,0,1587,1588,5,97,0,0,1588,1589,5,40,0, - 0,1589,364,1,0,0,0,1590,1591,5,100,0,0,1591,1592,5,105,0,0,1592,1593,5, - 103,0,0,1593,1594,5,97,0,0,1594,1595,5,109,0,0,1595,1596,5,109,0,0,1596, - 1597,5,97,0,0,1597,1598,5,40,0,0,1598,366,1,0,0,0,1599,1600,5,83,0,0,1600, - 1601,5,105,0,0,1601,1602,5,40,0,0,1602,368,1,0,0,0,1603,1604,5,67,0,0, - 1604,1605,5,105,0,0,1605,1606,5,40,0,0,1606,370,1,0,0,0,1607,1608,5,83, - 0,0,1608,1609,5,104,0,0,1609,1610,5,105,0,0,1610,1611,5,40,0,0,1611,372, - 1,0,0,0,1612,1613,5,67,0,0,1613,1614,5,104,0,0,1614,1615,5,105,0,0,1615, - 1616,5,40,0,0,1616,374,1,0,0,0,1617,1618,5,100,0,0,1618,1619,5,101,0,0, - 1619,1620,5,116,0,0,1620,1621,5,40,0,0,1621,376,1,0,0,0,1622,1623,5,116, - 0,0,1623,1624,5,114,0,0,1624,1625,5,97,0,0,1625,1626,5,110,0,0,1626,1627, - 5,115,0,0,1627,1628,5,112,0,0,1628,1629,5,111,0,0,1629,1630,5,115,0,0, - 1630,1631,5,101,0,0,1631,1632,5,40,0,0,1632,378,1,0,0,0,1633,1634,5,100, - 0,0,1634,1635,5,111,0,0,1635,1636,5,116,0,0,1636,1637,5,40,0,0,1637,380, - 1,0,0,0,1638,1639,5,99,0,0,1639,1640,5,114,0,0,1640,1641,5,111,0,0,1641, - 1642,5,115,0,0,1642,1643,5,115,0,0,1643,1644,5,40,0,0,1644,382,1,0,0,0, - 1645,1646,5,108,0,0,1646,1647,5,97,0,0,1647,1648,5,112,0,0,1648,1649,5, - 108,0,0,1649,1650,5,97,0,0,1650,1651,5,99,0,0,1651,1652,5,105,0,0,1652, - 1653,5,97,0,0,1653,1654,5,110,0,0,1654,1655,5,40,0,0,1655,384,1,0,0,0, - 1656,1657,5,106,0,0,1657,1658,5,97,0,0,1658,1659,5,99,0,0,1659,1660,5, - 111,0,0,1660,1661,5,98,0,0,1661,1662,5,105,0,0,1662,1663,5,97,0,0,1663, - 1664,5,110,0,0,1664,1665,5,40,0,0,1665,386,1,0,0,0,1666,1667,5,104,0,0, - 1667,1668,5,101,0,0,1668,1669,5,115,0,0,1669,1670,5,115,0,0,1670,1671, - 5,105,0,0,1671,1672,5,97,0,0,1672,1673,5,110,0,0,1673,1674,5,40,0,0,1674, - 388,1,0,0,0,1675,1676,5,114,0,0,1676,1677,5,101,0,0,1677,1678,5,115,0, - 0,1678,1679,5,117,0,0,1679,1680,5,108,0,0,1680,1681,5,116,0,0,1681,1682, - 5,97,0,0,1682,1683,5,110,0,0,1683,1684,5,116,0,0,1684,1685,5,40,0,0,1685, - 390,1,0,0,0,1686,1687,5,99,0,0,1687,1688,5,111,0,0,1688,1689,5,110,0,0, - 1689,1690,5,106,0,0,1690,1691,5,117,0,0,1691,1692,5,103,0,0,1692,1693, - 5,97,0,0,1693,1694,5,116,0,0,1694,1695,5,101,0,0,1695,1696,5,40,0,0,1696, - 392,1,0,0,0,1697,1698,5,99,0,0,1698,1699,5,111,0,0,1699,1700,5,110,0,0, - 1700,1701,5,106,0,0,1701,1702,5,40,0,0,1702,394,1,0,0,0,1703,1704,5,97, - 0,0,1704,1705,5,114,0,0,1705,1706,5,103,0,0,1706,1707,5,40,0,0,1707,396, - 1,0,0,0,1708,1709,5,82,0,0,1709,1710,5,101,0,0,1710,1711,5,40,0,0,1711, - 398,1,0,0,0,1712,1713,5,73,0,0,1713,1714,5,109,0,0,1714,1715,5,40,0,0, - 1715,400,1,0,0,0,1716,1717,5,114,0,0,1717,1718,5,101,0,0,1718,1719,5,40, - 0,0,1719,402,1,0,0,0,1720,1721,5,114,0,0,1721,1722,5,101,0,0,1722,1723, - 5,97,0,0,1723,1724,5,108,0,0,1724,1725,5,40,0,0,1725,404,1,0,0,0,1726, - 1727,5,105,0,0,1727,1728,5,109,0,0,1728,1729,5,40,0,0,1729,406,1,0,0,0, - 1730,1731,5,105,0,0,1731,1732,5,109,0,0,1732,1733,5,97,0,0,1733,1734,5, - 103,0,0,1734,1735,5,40,0,0,1735,408,1,0,0,0,1736,1737,5,116,0,0,1737,1738, - 5,114,0,0,1738,1739,5,117,0,0,1739,1740,5,110,0,0,1740,1741,5,99,0,0,1741, - 1742,5,40,0,0,1742,410,1,0,0,0,1743,1744,5,122,0,0,1744,1745,5,101,0,0, - 1745,1746,5,116,0,0,1746,1747,5,97,0,0,1747,1748,5,40,0,0,1748,412,1,0, - 0,0,1749,1750,5,114,0,0,1750,1751,5,105,0,0,1751,1752,5,101,0,0,1752,1753, - 5,109,0,0,1753,1754,5,97,0,0,1754,1755,5,110,0,0,1755,1756,5,110,0,0,1756, - 1757,5,122,0,0,1757,1758,5,101,0,0,1758,1759,5,116,0,0,1759,1760,5,97, - 0,0,1760,1761,5,40,0,0,1761,414,1,0,0,0,1762,1763,5,104,0,0,1763,1764, - 5,117,0,0,1764,1765,5,114,0,0,1765,1766,5,119,0,0,1766,1767,5,105,0,0, - 1767,1768,5,116,0,0,1768,1769,5,122,0,0,1769,1770,5,122,0,0,1770,1771, - 5,101,0,0,1771,1772,5,116,0,0,1772,1773,5,97,0,0,1773,1774,5,40,0,0,1774, - 416,1,0,0,0,1775,1776,5,108,0,0,1776,1777,5,97,0,0,1777,1778,5,109,0,0, - 1778,1779,5,98,0,0,1779,1780,5,101,0,0,1780,1781,5,114,0,0,1781,1782,5, - 116,0,0,1782,1783,5,119,0,0,1783,1784,5,40,0,0,1784,418,1,0,0,0,1785,1786, - 5,112,0,0,1786,1787,5,114,0,0,1787,1788,5,111,0,0,1788,1789,5,100,0,0, - 1789,1790,5,117,0,0,1790,1791,5,99,0,0,1791,1792,5,116,0,0,1792,1793,5, - 108,0,0,1793,1794,5,111,0,0,1794,1795,5,103,0,0,1795,1796,5,40,0,0,1796, - 420,1,0,0,0,1797,1798,5,104,0,0,1798,1799,5,97,0,0,1799,1800,5,114,0,0, - 1800,1801,5,109,0,0,1801,1802,5,111,0,0,1802,1803,5,110,0,0,1803,1804, - 5,105,0,0,1804,1805,5,99,0,0,1805,1806,5,110,0,0,1806,1807,5,117,0,0,1807, - 1808,5,109,0,0,1808,1809,5,98,0,0,1809,1810,5,101,0,0,1810,1811,5,114, - 0,0,1811,1812,5,40,0,0,1812,422,1,0,0,0,1813,1814,5,99,0,0,1814,1815,5, - 97,0,0,1815,1816,5,116,0,0,1816,1817,5,97,0,0,1817,1818,5,108,0,0,1818, - 1819,5,97,0,0,1819,1820,5,110,0,0,1820,1821,5,110,0,0,1821,1822,5,117, - 0,0,1822,1823,5,109,0,0,1823,1824,5,98,0,0,1824,1825,5,101,0,0,1825,1826, - 5,114,0,0,1826,1827,5,40,0,0,1827,424,1,0,0,0,1828,1829,5,109,0,0,1829, - 1830,5,117,0,0,1830,1831,5,108,0,0,1831,1832,5,116,0,0,1832,1833,5,105, - 0,0,1833,1834,5,110,0,0,1834,1835,5,111,0,0,1835,1836,5,109,0,0,1836,1837, - 5,105,0,0,1837,1838,5,97,0,0,1838,1839,5,108,0,0,1839,1840,5,40,0,0,1840, - 426,1,0,0,0,1841,1842,5,102,0,0,1842,1843,5,97,0,0,1843,1844,5,108,0,0, - 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0,0,2107,2108,5,90,0,0,2108,2115,5,42,0,0,2109,2110,5,90,0,0,2110,2111, + 5,90,0,0,2111,2115,5,43,0,0,2112,2113,5,80,0,0,2113,2115,5,80,0,0,2114, + 2096,1,0,0,0,2114,2098,1,0,0,0,2114,2100,1,0,0,0,2114,2102,1,0,0,0,2114, + 2104,1,0,0,0,2114,2106,1,0,0,0,2114,2109,1,0,0,0,2114,2112,1,0,0,0,2115, + 466,1,0,0,0,2116,2117,5,116,0,0,2117,2118,5,114,0,0,2118,2119,5,117,0, + 0,2119,2135,5,101,0,0,2120,2121,5,84,0,0,2121,2122,5,114,0,0,2122,2123, + 5,117,0,0,2123,2135,5,101,0,0,2124,2125,5,102,0,0,2125,2126,5,97,0,0,2126, + 2127,5,108,0,0,2127,2128,5,115,0,0,2128,2135,5,101,0,0,2129,2130,5,70, + 0,0,2130,2131,5,97,0,0,2131,2132,5,108,0,0,2132,2133,5,115,0,0,2133,2135, + 5,101,0,0,2134,2116,1,0,0,0,2134,2120,1,0,0,0,2134,2124,1,0,0,0,2134,2129, + 1,0,0,0,2135,468,1,0,0,0,2136,2137,5,78,0,0,2137,2138,5,97,0,0,2138,2139, + 5,78,0,0,2139,470,1,0,0,0,2140,2142,7,2,0,0,2141,2140,1,0,0,0,2142,2143, + 1,0,0,0,2143,2141,1,0,0,0,2143,2144,1,0,0,0,2144,2153,1,0,0,0,2145,2147, + 5,95,0,0,2146,2148,7,3,0,0,2147,2146,1,0,0,0,2148,2149,1,0,0,0,2149,2147, + 1,0,0,0,2149,2150,1,0,0,0,2150,2152,1,0,0,0,2151,2145,1,0,0,0,2152,2155, + 1,0,0,0,2153,2151,1,0,0,0,2153,2154,1,0,0,0,2154,472,1,0,0,0,2155,2153, + 1,0,0,0,2156,2157,5,47,0,0,2157,2158,5,47,0,0,2158,2162,1,0,0,0,2159,2161, + 8,4,0,0,2160,2159,1,0,0,0,2161,2164,1,0,0,0,2162,2160,1,0,0,0,2162,2163, + 1,0,0,0,2163,2169,1,0,0,0,2164,2162,1,0,0,0,2165,2167,5,13,0,0,2166,2165, + 1,0,0,0,2166,2167,1,0,0,0,2167,2168,1,0,0,0,2168,2170,5,10,0,0,2169,2166, + 1,0,0,0,2169,2170,1,0,0,0,2170,2183,1,0,0,0,2171,2172,5,47,0,0,2172,2173, + 5,42,0,0,2173,2177,1,0,0,0,2174,2176,9,0,0,0,2175,2174,1,0,0,0,2176,2179, + 1,0,0,0,2177,2178,1,0,0,0,2177,2175,1,0,0,0,2178,2180,1,0,0,0,2179,2177, + 1,0,0,0,2180,2181,5,42,0,0,2181,2183,5,47,0,0,2182,2156,1,0,0,0,2182,2171, + 1,0,0,0,2183,2184,1,0,0,0,2184,2185,6,236,0,0,2185,474,1,0,0,0,2186,2188, + 7,5,0,0,2187,2186,1,0,0,0,2188,2189,1,0,0,0,2189,2187,1,0,0,0,2189,2190, + 1,0,0,0,2190,2191,1,0,0,0,2191,2192,6,237,0,0,2192,476,1,0,0,0,25,0,2043, + 2048,2054,2059,2064,2070,2074,2077,2080,2085,2088,2091,2094,2114,2134, + 2143,2149,2153,2162,2166,2169,2177,2182,2189,1,6,0,0 }; public static readonly ATN _ATN = diff --git a/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.interp b/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.interp index 1273e54c2..ce711ba1c 100644 --- a/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.interp +++ b/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.interp @@ -174,6 +174,9 @@ null 'gcd(' 'lcm(' 'binomial(' +'fallingfactorial(' +'factorialpower(' +'risingfactorial(' 'iverson(' 'aleph(' 'erf(' @@ -213,9 +216,6 @@ null 'harmonicnumber(' 'catalannumber(' 'multinomial(' -'fallingfactorial(' -'factorialpower(' -'risingfactorial(' 'forwarddifference(' 'heaviside(' 'unitstep(' @@ -726,4 +726,4 @@ mode names: DEFAULT_MODE atn: -[4, 0, 237, 2193, 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, 2, 151, 7, 151, 2, 152, 7, 152, 2, 153, 7, 153, 2, 154, 7, 154, 2, 155, 7, 155, 2, 156, 7, 156, 2, 157, 7, 157, 2, 158, 7, 158, 2, 159, 7, 159, 2, 160, 7, 160, 2, 161, 7, 161, 2, 162, 7, 162, 2, 163, 7, 163, 2, 164, 7, 164, 2, 165, 7, 165, 2, 166, 7, 166, 2, 167, 7, 167, 2, 168, 7, 168, 2, 169, 7, 169, 2, 170, 7, 170, 2, 171, 7, 171, 2, 172, 7, 172, 2, 173, 7, 173, 2, 174, 7, 174, 2, 175, 7, 175, 2, 176, 7, 176, 2, 177, 7, 177, 2, 178, 7, 178, 2, 179, 7, 179, 2, 180, 7, 180, 2, 181, 7, 181, 2, 182, 7, 182, 2, 183, 7, 183, 2, 184, 7, 184, 2, 185, 7, 185, 2, 186, 7, 186, 2, 187, 7, 187, 2, 188, 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, 2, 207, 7, 207, 2, 208, 7, 208, 2, 209, 7, 209, 2, 210, 7, 210, 2, 211, 7, 211, 2, 212, 7, 212, 2, 213, 7, 213, 2, 214, 7, 214, 2, 215, 7, 215, 2, 216, 7, 216, 2, 217, 7, 217, 2, 218, 7, 218, 2, 219, 7, 219, 2, 220, 7, 220, 2, 221, 7, 221, 2, 222, 7, 222, 2, 223, 7, 223, 2, 224, 7, 224, 2, 225, 7, 225, 2, 226, 7, 226, 2, 227, 7, 227, 2, 228, 7, 228, 2, 229, 7, 229, 2, 230, 7, 230, 2, 231, 7, 231, 2, 232, 7, 232, 2, 233, 7, 233, 2, 234, 7, 234, 2, 235, 7, 235, 2, 236, 7, 236, 2, 237, 7, 237, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 3, 1, 3, 1, 4, 1, 4, 1, 5, 1, 5, 1, 6, 1, 6, 1, 7, 1, 7, 1, 7, 1, 7, 1, 8, 1, 8, 1, 9, 1, 9, 1, 10, 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, 12, 1, 12, 1, 12, 1, 13, 1, 13, 1, 13, 1, 13, 1, 13, 1, 13, 1, 14, 1, 14, 1, 14, 1, 15, 1, 15, 1, 15, 1, 15, 1, 15, 1, 15, 1, 15, 1, 15, 1, 15, 1, 15, 1, 15, 1, 15, 1, 16, 1, 16, 1, 17, 1, 17, 1, 17, 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, 20, 1, 21, 1, 21, 1, 22, 1, 22, 1, 22, 1, 22, 1, 22, 1, 22, 1, 22, 1, 22, 1, 23, 1, 23, 1, 24, 1, 24, 1, 24, 1, 25, 1, 25, 1, 25, 1, 26, 1, 26, 1, 27, 1, 27, 1, 28, 1, 28, 1, 29, 1, 29, 1, 29, 1, 30, 1, 30, 1, 31, 1, 31, 1, 32, 1, 32, 1, 33, 1, 33, 1, 33, 1, 33, 1, 34, 1, 34, 1, 34, 1, 34, 1, 35, 1, 35, 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, 39, 1, 39, 1, 39, 1, 40, 1, 40, 1, 40, 1, 40, 1, 40, 1, 40, 1, 40, 1, 40, 1, 40, 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, 44, 1, 44, 1, 45, 1, 45, 1, 45, 1, 45, 1, 45, 1, 45, 1, 45, 1, 45, 1, 46, 1, 46, 1, 46, 1, 47, 1, 47, 1, 47, 1, 47, 1, 47, 1, 47, 1, 47, 1, 48, 1, 48, 1, 49, 1, 49, 1, 50, 1, 50, 1, 51, 1, 51, 1, 51, 1, 51, 1, 52, 1, 52, 1, 52, 1, 52, 1, 53, 1, 53, 1, 53, 1, 54, 1, 54, 1, 54, 1, 55, 1, 55, 1, 56, 1, 56, 1, 57, 1, 57, 1, 57, 1, 58, 1, 58, 1, 59, 1, 59, 1, 60, 1, 60, 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, 63, 1, 63, 1, 63, 1, 63, 1, 63, 1, 63, 1, 64, 1, 64, 1, 64, 1, 64, 1, 64, 1, 65, 1, 65, 1, 65, 1, 65, 1, 65, 1, 65, 1, 66, 1, 66, 1, 66, 1, 66, 1, 66, 1, 66, 1, 67, 1, 67, 1, 67, 1, 67, 1, 67, 1, 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, 72, 1, 72, 1, 72, 1, 72, 1, 72, 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, 75, 1, 75, 1, 75, 1, 75, 1, 75, 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, 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, 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, 83, 1, 83, 1, 83, 1, 83, 1, 84, 1, 84, 1, 84, 1, 84, 1, 84, 1, 84, 1, 84, 1, 84, 1, 85, 1, 85, 1, 85, 1, 85, 1, 85, 1, 85, 1, 86, 1, 86, 1, 86, 1, 86, 1, 86, 1, 86, 1, 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, 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, 99, 1, 99, 1, 99, 1, 99, 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, 102, 1, 102, 1, 102, 1, 102, 1, 102, 1, 103, 1, 103, 1, 103, 1, 103, 1, 103, 1, 103, 1, 104, 1, 104, 1, 104, 1, 104, 1, 104, 1, 105, 1, 105, 1, 105, 1, 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2156, 1, 0, 0, 0, 2182, 2171, 1, 0, 0, 0, 2183, 2184, 1, 0, 0, 0, 2184, 2185, 6, 236, 0, 0, 2185, 474, 1, 0, 0, 0, 2186, 2188, 7, 5, 0, 0, 2187, 2186, 1, 0, 0, 0, 2188, 2189, 1, 0, 0, 0, 2189, 2187, 1, 0, 0, 0, 2189, 2190, 1, 0, 0, 0, 2190, 2191, 1, 0, 0, 0, 2191, 2192, 6, 237, 0, 0, 2192, 476, 1, 0, 0, 0, 25, 0, 2043, 2048, 2054, 2059, 2064, 2070, 2074, 2077, 2080, 2085, 2088, 2091, 2094, 2114, 2134, 2143, 2149, 2153, 2162, 2166, 2169, 2177, 2182, 2189, 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 9ef455f36..a5b025421 100644 --- a/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.tokens +++ b/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.tokens @@ -409,48 +409,48 @@ WS=237 'gcd('=172 'lcm('=173 'binomial('=174 -'iverson('=175 -'aleph('=176 -'erf('=177 -'erfc('=178 -'erfi('=179 -'Ei('=180 -'li('=181 -'polygamma('=182 -'digamma('=183 -'Si('=184 -'Ci('=185 -'Shi('=186 -'Chi('=187 -'det('=188 -'transpose('=189 -'dot('=190 -'cross('=191 -'laplacian('=192 -'jacobian('=193 -'hessian('=194 -'resultant('=195 -'conjugate('=196 -'conj('=197 -'arg('=198 -'Re('=199 -'Im('=200 -'re('=201 -'real('=202 -'im('=203 -'imag('=204 -'trunc('=205 -'zeta('=206 -'riemannzeta('=207 -'hurwitzzeta('=208 -'lambertw('=209 -'productlog('=210 -'harmonicnumber('=211 -'catalannumber('=212 -'multinomial('=213 -'fallingfactorial('=214 -'factorialpower('=215 -'risingfactorial('=216 +'fallingfactorial('=175 +'factorialpower('=176 +'risingfactorial('=177 +'iverson('=178 +'aleph('=179 +'erf('=180 +'erfc('=181 +'erfi('=182 +'Ei('=183 +'li('=184 +'polygamma('=185 +'digamma('=186 +'Si('=187 +'Ci('=188 +'Shi('=189 +'Chi('=190 +'det('=191 +'transpose('=192 +'dot('=193 +'cross('=194 +'laplacian('=195 +'jacobian('=196 +'hessian('=197 +'resultant('=198 +'conjugate('=199 +'conj('=200 +'arg('=201 +'Re('=202 +'Im('=203 +'re('=204 +'real('=205 +'im('=206 +'imag('=207 +'trunc('=208 +'zeta('=209 +'riemannzeta('=210 +'hurwitzzeta('=211 +'lambertw('=212 +'productlog('=213 +'harmonicnumber('=214 +'catalannumber('=215 +'multinomial('=216 'forwarddifference('=217 'heaviside('=218 'unitstep('=219 diff --git a/Sources/AngouriMath/Core/Antlr/AngouriMathParser.cs b/Sources/AngouriMath/Core/Antlr/AngouriMathParser.cs index da8636fdc..ec43f2e7f 100644 --- a/Sources/AngouriMath/Core/Antlr/AngouriMathParser.cs +++ b/Sources/AngouriMath/Core/Antlr/AngouriMathParser.cs @@ -130,14 +130,14 @@ public const int "'card('", "'powerset('", "'union('", "'intersection('", "'complement('", "'image('", "'preimage('", "'floor('", "'ceil('", "'ceiling('", "'round('", "'min('", "'max('", "'argmax('", "'argmin('", "'gcd('", "'lcm('", "'binomial('", - "'iverson('", "'aleph('", "'erf('", "'erfc('", "'erfi('", "'Ei('", "'li('", - "'polygamma('", "'digamma('", "'Si('", "'Ci('", "'Shi('", "'Chi('", "'det('", - "'transpose('", "'dot('", "'cross('", "'laplacian('", "'jacobian('", "'hessian('", - "'resultant('", "'conjugate('", "'conj('", "'arg('", "'Re('", "'Im('", - "'re('", "'real('", "'im('", "'imag('", "'trunc('", "'zeta('", "'riemannzeta('", - "'hurwitzzeta('", "'lambertw('", "'productlog('", "'harmonicnumber('", - "'catalannumber('", "'multinomial('", "'fallingfactorial('", "'factorialpower('", - "'risingfactorial('", "'forwarddifference('", "'heaviside('", "'unitstep('", + "'fallingfactorial('", "'factorialpower('", "'risingfactorial('", "'iverson('", + "'aleph('", "'erf('", "'erfc('", "'erfi('", "'Ei('", "'li('", "'polygamma('", + "'digamma('", "'Si('", "'Ci('", "'Shi('", "'Chi('", "'det('", "'transpose('", + "'dot('", "'cross('", "'laplacian('", "'jacobian('", "'hessian('", "'resultant('", + "'conjugate('", "'conj('", "'arg('", "'Re('", "'Im('", "'re('", "'real('", + "'im('", "'imag('", "'trunc('", "'zeta('", "'riemannzeta('", "'hurwitzzeta('", + "'lambertw('", "'productlog('", "'harmonicnumber('", "'catalannumber('", + "'multinomial('", "'forwarddifference('", "'heaviside('", "'unitstep('", "'isprime('", "'pochhammer('", "'doublefactorial('", "'factorial2('", "'fractionalpart('", "'quotient('", "'domain('", "'piecewise('", "'apply('", "'lambda('", null, null, null, null, "'NaN'" @@ -5114,7 +5114,7 @@ public AtomContext atom() { _localctx.args = function_arguments(); State = 1089; Match(T__32); - Assert("iverson", 1, _localctx.args.list.Count); _localctx.value = MathS.Iverson(_localctx.args.list[0]); + Assert("fallingfactorial", 2, _localctx.args.list.Count); _localctx.value = MathS.FallingFactorial(_localctx.args.list[0], _localctx.args.list[1]); } break; case 133: @@ -5126,7 +5126,7 @@ public AtomContext atom() { _localctx.args = function_arguments(); State = 1094; Match(T__32); - Assert("aleph", 1, _localctx.args.list.Count); _localctx.value = MathS.Aleph(_localctx.args.list[0]); + Assert("factorialpower", 2, _localctx.args.list.Count); _localctx.value = MathS.FallingFactorial(_localctx.args.list[0], _localctx.args.list[1]); } break; case 134: @@ -5138,7 +5138,7 @@ public AtomContext atom() { _localctx.args = function_arguments(); State = 1099; Match(T__32); - Assert("erf", 1, _localctx.args.list.Count); _localctx.value = MathS.Erf(_localctx.args.list[0]); + Assert("risingfactorial", 2, _localctx.args.list.Count); _localctx.value = MathS.RisingFactorial(_localctx.args.list[0], _localctx.args.list[1]); } break; case 135: @@ -5150,7 +5150,7 @@ public AtomContext atom() { _localctx.args = function_arguments(); State = 1104; Match(T__32); - Assert("erfc", 1, _localctx.args.list.Count); _localctx.value = MathS.Erfc(_localctx.args.list[0]); + Assert("iverson", 1, _localctx.args.list.Count); _localctx.value = MathS.Iverson(_localctx.args.list[0]); } break; case 136: @@ -5162,7 +5162,7 @@ public AtomContext atom() { _localctx.args = function_arguments(); State = 1109; Match(T__32); - Assert("erfi", 1, _localctx.args.list.Count); _localctx.value = MathS.Erfi(_localctx.args.list[0]); + Assert("aleph", 1, _localctx.args.list.Count); _localctx.value = MathS.Aleph(_localctx.args.list[0]); } break; case 137: @@ -5174,7 +5174,7 @@ public AtomContext atom() { _localctx.args = function_arguments(); State = 1114; Match(T__32); - Assert("Ei", 1, _localctx.args.list.Count); _localctx.value = MathS.Ei(_localctx.args.list[0]); + Assert("erf", 1, _localctx.args.list.Count); _localctx.value = MathS.Erf(_localctx.args.list[0]); } break; case 138: @@ -5186,7 +5186,7 @@ public AtomContext atom() { _localctx.args = function_arguments(); State = 1119; Match(T__32); - Assert("li", 1, _localctx.args.list.Count); _localctx.value = MathS.Li(_localctx.args.list[0]); + Assert("erfc", 1, _localctx.args.list.Count); _localctx.value = MathS.Erfc(_localctx.args.list[0]); } break; case 139: @@ -5198,7 +5198,7 @@ public AtomContext atom() { _localctx.args = function_arguments(); State = 1124; Match(T__32); - Assert("polygamma", 2, _localctx.args.list.Count); _localctx.value = MathS.Polygamma(_localctx.args.list[0], _localctx.args.list[1]); + Assert("erfi", 1, _localctx.args.list.Count); _localctx.value = MathS.Erfi(_localctx.args.list[0]); } break; case 140: @@ -5210,7 +5210,7 @@ public AtomContext atom() { _localctx.args = function_arguments(); State = 1129; Match(T__32); - Assert("digamma", 1, _localctx.args.list.Count); _localctx.value = MathS.Digamma(_localctx.args.list[0]); + Assert("Ei", 1, _localctx.args.list.Count); _localctx.value = MathS.Ei(_localctx.args.list[0]); } break; case 141: @@ -5222,7 +5222,7 @@ public AtomContext atom() { _localctx.args = function_arguments(); State = 1134; Match(T__32); - Assert("Si", 1, _localctx.args.list.Count); _localctx.value = MathS.Si(_localctx.args.list[0]); + Assert("li", 1, _localctx.args.list.Count); _localctx.value = MathS.Li(_localctx.args.list[0]); } break; case 142: @@ -5234,7 +5234,7 @@ public AtomContext atom() { _localctx.args = function_arguments(); State = 1139; Match(T__32); - Assert("Ci", 1, _localctx.args.list.Count); _localctx.value = MathS.Ci(_localctx.args.list[0]); + Assert("polygamma", 2, _localctx.args.list.Count); _localctx.value = MathS.Polygamma(_localctx.args.list[0], _localctx.args.list[1]); } break; case 143: @@ -5246,7 +5246,7 @@ public AtomContext atom() { _localctx.args = function_arguments(); State = 1144; Match(T__32); - Assert("Shi", 1, _localctx.args.list.Count); _localctx.value = MathS.Shi(_localctx.args.list[0]); + Assert("digamma", 1, _localctx.args.list.Count); _localctx.value = MathS.Digamma(_localctx.args.list[0]); } break; case 144: @@ -5258,7 +5258,7 @@ public AtomContext atom() { _localctx.args = function_arguments(); State = 1149; Match(T__32); - Assert("Chi", 1, _localctx.args.list.Count); _localctx.value = MathS.Chi(_localctx.args.list[0]); + Assert("Si", 1, _localctx.args.list.Count); _localctx.value = MathS.Si(_localctx.args.list[0]); } break; case 145: @@ -5270,7 +5270,7 @@ public AtomContext atom() { _localctx.args = function_arguments(); State = 1154; Match(T__32); - Assert("det", 1, _localctx.args.list.Count); _localctx.value = ParsingHelpers.Determinant(_localctx.args.list[0]); + Assert("Ci", 1, _localctx.args.list.Count); _localctx.value = MathS.Ci(_localctx.args.list[0]); } break; case 146: @@ -5282,7 +5282,7 @@ public AtomContext atom() { _localctx.args = function_arguments(); State = 1159; Match(T__32); - Assert("transpose", 1, _localctx.args.list.Count); _localctx.value = ParsingHelpers.Transposed(_localctx.args.list[0]); + Assert("Shi", 1, _localctx.args.list.Count); _localctx.value = MathS.Shi(_localctx.args.list[0]); } break; case 147: @@ -5294,7 +5294,7 @@ public AtomContext atom() { _localctx.args = function_arguments(); State = 1164; Match(T__32); - Assert("dot", 2, _localctx.args.list.Count); _localctx.value = ParsingHelpers.Dot(_localctx.args.list[0], _localctx.args.list[1]); + Assert("Chi", 1, _localctx.args.list.Count); _localctx.value = MathS.Chi(_localctx.args.list[0]); } break; case 148: @@ -5306,7 +5306,7 @@ public AtomContext atom() { _localctx.args = function_arguments(); State = 1169; Match(T__32); - Assert("cross", (1, 2), _localctx.args.list.Count); _localctx.value = ParsingHelpers.Cross(_localctx.args.list); + Assert("det", 1, _localctx.args.list.Count); _localctx.value = ParsingHelpers.Determinant(_localctx.args.list[0]); } break; case 149: @@ -5318,7 +5318,7 @@ public AtomContext atom() { _localctx.args = function_arguments(); State = 1174; Match(T__32); - Assert("laplacian", 2, _localctx.args.list.Count); _localctx.value = ParsingHelpers.Laplacian(_localctx.args.list[0], _localctx.args.list[1]); + Assert("transpose", 1, _localctx.args.list.Count); _localctx.value = ParsingHelpers.Transposed(_localctx.args.list[0]); } break; case 150: @@ -5330,7 +5330,7 @@ public AtomContext atom() { _localctx.args = function_arguments(); State = 1179; Match(T__32); - Assert("jacobian", 2, _localctx.args.list.Count); _localctx.value = ParsingHelpers.Jacobian(_localctx.args.list[0], _localctx.args.list[1]); + Assert("dot", 2, _localctx.args.list.Count); _localctx.value = ParsingHelpers.Dot(_localctx.args.list[0], _localctx.args.list[1]); } break; case 151: @@ -5342,7 +5342,7 @@ public AtomContext atom() { _localctx.args = function_arguments(); State = 1184; Match(T__32); - Assert("hessian", 2, _localctx.args.list.Count); _localctx.value = ParsingHelpers.Hessian(_localctx.args.list[0], _localctx.args.list[1]); + Assert("cross", (1, 2), _localctx.args.list.Count); _localctx.value = ParsingHelpers.Cross(_localctx.args.list); } break; case 152: @@ -5354,7 +5354,7 @@ public AtomContext atom() { _localctx.args = function_arguments(); State = 1189; Match(T__32); - Assert("resultant", 3, _localctx.args.list.Count); _localctx.value = ParsingHelpers.Resultant(_localctx.args.list[0], _localctx.args.list[1], _localctx.args.list[2]); + Assert("laplacian", 2, _localctx.args.list.Count); _localctx.value = ParsingHelpers.Laplacian(_localctx.args.list[0], _localctx.args.list[1]); } break; case 153: @@ -5366,7 +5366,7 @@ public AtomContext atom() { _localctx.args = function_arguments(); State = 1194; Match(T__32); - Assert("conjugate", 1, _localctx.args.list.Count); _localctx.value = MathS.Conjugate(_localctx.args.list[0]); + Assert("jacobian", 2, _localctx.args.list.Count); _localctx.value = ParsingHelpers.Jacobian(_localctx.args.list[0], _localctx.args.list[1]); } break; case 154: @@ -5378,7 +5378,7 @@ public AtomContext atom() { _localctx.args = function_arguments(); State = 1199; Match(T__32); - Assert("conj", 1, _localctx.args.list.Count); _localctx.value = MathS.Conjugate(_localctx.args.list[0]); + Assert("hessian", 2, _localctx.args.list.Count); _localctx.value = ParsingHelpers.Hessian(_localctx.args.list[0], _localctx.args.list[1]); } break; case 155: @@ -5390,7 +5390,7 @@ public AtomContext atom() { _localctx.args = function_arguments(); State = 1204; Match(T__32); - Assert("arg", 1, _localctx.args.list.Count); _localctx.value = MathS.Arg(_localctx.args.list[0]); + Assert("resultant", 3, _localctx.args.list.Count); _localctx.value = ParsingHelpers.Resultant(_localctx.args.list[0], _localctx.args.list[1], _localctx.args.list[2]); } break; case 156: @@ -5402,7 +5402,7 @@ public AtomContext atom() { _localctx.args = function_arguments(); State = 1209; Match(T__32); - Assert("Re", 1, _localctx.args.list.Count); _localctx.value = MathS.Re(_localctx.args.list[0]); + Assert("conjugate", 1, _localctx.args.list.Count); _localctx.value = MathS.Conjugate(_localctx.args.list[0]); } break; case 157: @@ -5414,7 +5414,7 @@ public AtomContext atom() { _localctx.args = function_arguments(); State = 1214; Match(T__32); - Assert("Im", 1, _localctx.args.list.Count); _localctx.value = MathS.Im(_localctx.args.list[0]); + Assert("conj", 1, _localctx.args.list.Count); _localctx.value = MathS.Conjugate(_localctx.args.list[0]); } break; case 158: @@ -5426,7 +5426,7 @@ public AtomContext atom() { _localctx.args = function_arguments(); State = 1219; Match(T__32); - Assert("re", 1, _localctx.args.list.Count); _localctx.value = MathS.Re(_localctx.args.list[0]); + Assert("arg", 1, _localctx.args.list.Count); _localctx.value = MathS.Arg(_localctx.args.list[0]); } break; case 159: @@ -5438,7 +5438,7 @@ public AtomContext atom() { _localctx.args = function_arguments(); State = 1224; Match(T__32); - Assert("real", 1, _localctx.args.list.Count); _localctx.value = MathS.Re(_localctx.args.list[0]); + Assert("Re", 1, _localctx.args.list.Count); _localctx.value = MathS.Re(_localctx.args.list[0]); } break; case 160: @@ -5450,7 +5450,7 @@ public AtomContext atom() { _localctx.args = function_arguments(); State = 1229; Match(T__32); - Assert("im", 1, _localctx.args.list.Count); _localctx.value = MathS.Im(_localctx.args.list[0]); + Assert("Im", 1, _localctx.args.list.Count); _localctx.value = MathS.Im(_localctx.args.list[0]); } break; case 161: @@ -5462,7 +5462,7 @@ public AtomContext atom() { _localctx.args = function_arguments(); State = 1234; Match(T__32); - Assert("imag", 1, _localctx.args.list.Count); _localctx.value = MathS.Im(_localctx.args.list[0]); + Assert("re", 1, _localctx.args.list.Count); _localctx.value = MathS.Re(_localctx.args.list[0]); } break; case 162: @@ -5474,7 +5474,7 @@ public AtomContext atom() { _localctx.args = function_arguments(); State = 1239; Match(T__32); - _localctx.value = NotImplementedFunction("trunc", "rounding functions"); + Assert("real", 1, _localctx.args.list.Count); _localctx.value = MathS.Re(_localctx.args.list[0]); } break; case 163: @@ -5486,7 +5486,7 @@ public AtomContext atom() { _localctx.args = function_arguments(); State = 1244; Match(T__32); - _localctx.value = NotImplementedFunction("zeta", "Riemann or Hurwitz zeta function yet"); + Assert("im", 1, _localctx.args.list.Count); _localctx.value = MathS.Im(_localctx.args.list[0]); } break; case 164: @@ -5498,7 +5498,7 @@ public AtomContext atom() { _localctx.args = function_arguments(); State = 1249; Match(T__32); - _localctx.value = NotImplementedFunction("riemannzeta", "Riemann zeta function yet"); + Assert("imag", 1, _localctx.args.list.Count); _localctx.value = MathS.Im(_localctx.args.list[0]); } break; case 165: @@ -5510,7 +5510,7 @@ public AtomContext atom() { _localctx.args = function_arguments(); State = 1254; Match(T__32); - _localctx.value = NotImplementedFunction("hurwitzzeta", "Hurwitz zeta function yet"); + _localctx.value = NotImplementedFunction("trunc", "rounding functions"); } break; case 166: @@ -5522,7 +5522,7 @@ public AtomContext atom() { _localctx.args = function_arguments(); State = 1259; Match(T__32); - _localctx.value = NotImplementedFunction("lambertw", "Lambert W function yet"); + _localctx.value = NotImplementedFunction("zeta", "Riemann or Hurwitz zeta function yet"); } break; case 167: @@ -5534,7 +5534,7 @@ public AtomContext atom() { _localctx.args = function_arguments(); State = 1264; Match(T__32); - _localctx.value = NotImplementedFunction("productlog", "Lambert W function yet"); + _localctx.value = NotImplementedFunction("riemannzeta", "Riemann zeta function yet"); } break; case 168: @@ -5546,7 +5546,7 @@ public AtomContext atom() { _localctx.args = function_arguments(); State = 1269; Match(T__32); - _localctx.value = NotImplementedFunction("harmonicnumber", "harmonic numbers yet"); + _localctx.value = NotImplementedFunction("hurwitzzeta", "Hurwitz zeta function yet"); } break; case 169: @@ -5558,7 +5558,7 @@ public AtomContext atom() { _localctx.args = function_arguments(); State = 1274; Match(T__32); - _localctx.value = NotImplementedFunction("catalannumber", "Catalan numbers yet"); + _localctx.value = NotImplementedFunction("lambertw", "Lambert W function yet"); } break; case 170: @@ -5570,7 +5570,7 @@ public AtomContext atom() { _localctx.args = function_arguments(); State = 1279; Match(T__32); - _localctx.value = NotImplementedFunction("multinomial", "multinomial coefficients yet"); + _localctx.value = NotImplementedFunction("productlog", "Lambert W function yet"); } break; case 171: @@ -5582,7 +5582,7 @@ public AtomContext atom() { _localctx.args = function_arguments(); State = 1284; Match(T__32); - _localctx.value = NotImplementedFunction("fallingfactorial", "falling factorial yet"); + _localctx.value = NotImplementedFunction("harmonicnumber", "harmonic numbers yet"); } break; case 172: @@ -5594,7 +5594,7 @@ public AtomContext atom() { _localctx.args = function_arguments(); State = 1289; Match(T__32); - _localctx.value = NotImplementedFunction("factorialpower", "falling factorial yet"); + _localctx.value = NotImplementedFunction("catalannumber", "Catalan numbers yet"); } break; case 173: @@ -5606,7 +5606,7 @@ public AtomContext atom() { _localctx.args = function_arguments(); State = 1294; Match(T__32); - _localctx.value = NotImplementedFunction("risingfactorial", "rising factorial yet"); + _localctx.value = NotImplementedFunction("multinomial", "multinomial coefficients yet"); } break; case 174: diff --git a/Sources/AngouriMath/Core/Domains.Classes.cs b/Sources/AngouriMath/Core/Domains.Classes.cs index 13d7d81ac..95d5eb888 100644 --- a/Sources/AngouriMath/Core/Domains.Classes.cs +++ b/Sources/AngouriMath/Core/Domains.Classes.cs @@ -240,6 +240,22 @@ partial record Binomialf internal override Domain DefaultCodomain => Domain.Complex; } + partial record FallingFactorialf + { + /// + public override Domain Codomain { get; protected init; } = Domain.Complex; + /// + internal override Domain DefaultCodomain => Domain.Complex; + } + + partial record RisingFactorialf + { + /// + public override Domain Codomain { get; protected init; } = Domain.Complex; + /// + internal override Domain DefaultCodomain => Domain.Complex; + } + partial record Ref { /// diff --git a/Sources/AngouriMath/Core/Entity/Continuous/Entity.Continuous.Factorial.Classes.cs b/Sources/AngouriMath/Core/Entity/Continuous/Entity.Continuous.Factorial.Classes.cs index 7e7bf4b01..5da33c503 100644 --- a/Sources/AngouriMath/Core/Entity/Continuous/Entity.Continuous.Factorial.Classes.cs +++ b/Sources/AngouriMath/Core/Entity/Continuous/Entity.Continuous.Factorial.Classes.cs @@ -86,5 +86,51 @@ private Binomialf New(Entity upper, Entity lower) => /// protected override Entity[] InitDirectChildren() => new[] { Upper, Lower }; } + + /// + /// The falling factorial fallingfactorial(x, n), x to the n falling: x (x - 1) ... (x - n + 1) for a whole n >= 0, in the notation x^{\underline{n}} of Graham, Knuth and Patashnik's Concrete Mathematics. + /// + /// + /// For a negative whole n it is 1 / ((x + 1) (x + 2) ... (x - n)), the book's (2.52), and for any other n it is Γ(x + 1) / Γ(x - n + 1), as Mathematica's FactorialPower is. + /// https://github.com/asc-community/AngouriMath/issues/2182 + /// + public sealed partial record FallingFactorialf(Entity Argument, Entity Order) : Function, IBinaryNode + { + /// + public Entity NodeFirstChild => Argument; + + /// + public Entity NodeSecondChild => Order; + + internal FallingFactorialf New(Entity argument, Entity order) => + ReferenceEquals(Argument, argument) && ReferenceEquals(Order, order) ? this : new(argument, order) { Codomain = Codomain }; + /// + public override Entity Replace(Func func) => func(New(Argument.Replace(func), Order.Replace(func))); + /// + protected override Entity[] InitDirectChildren() => new[] { Argument, Order }; + } + + /// + /// The rising factorial risingfactorial(x, n), x to the n rising: x (x + 1) ... (x + n - 1) for a whole n >= 0, in the notation x^{\overline{n}} of Graham, Knuth and Patashnik's Concrete Mathematics. + /// + /// + /// For a negative whole n it is 1 / ((x - 1) (x - 2) ... (x + n)), and for any other n it is Γ(x + n) / Γ(x), as Mathematica's Pochhammer is. The name pochhammer is refused, since the Pochhammer symbol is the falling factorial to some authors. + /// https://github.com/asc-community/AngouriMath/issues/2182 + /// + public sealed partial record RisingFactorialf(Entity Argument, Entity Order) : Function, IBinaryNode + { + /// + public Entity NodeFirstChild => Argument; + + /// + public Entity NodeSecondChild => Order; + + internal RisingFactorialf New(Entity argument, Entity order) => + ReferenceEquals(Argument, argument) && ReferenceEquals(Order, order) ? this : new(argument, order) { Codomain = Codomain }; + /// + public override Entity Replace(Func func) => func(New(Argument.Replace(func), Order.Replace(func))); + /// + protected override Entity[] InitDirectChildren() => new[] { Argument, Order }; + } } } diff --git a/Sources/AngouriMath/Core/Serialization/Entity.Serialization.cs b/Sources/AngouriMath/Core/Serialization/Entity.Serialization.cs index 7ca88e183..0c714b87d 100644 --- a/Sources/AngouriMath/Core/Serialization/Entity.Serialization.cs +++ b/Sources/AngouriMath/Core/Serialization/Entity.Serialization.cs @@ -48,6 +48,8 @@ [EntityJsonConverter] partial record Entity [EntityJsonConverter] partial record Equalsf; [EntityJsonConverter] partial record Factorialf; [EntityJsonConverter] partial record Binomialf; + [EntityJsonConverter] partial record FallingFactorialf; + [EntityJsonConverter] partial record RisingFactorialf; [EntityJsonConverter] partial record Floorf; [EntityJsonConverter] partial record Function; [EntityJsonConverter] partial record Gcdf; diff --git a/Sources/AngouriMath/Core/Transformations/Matching/MatchPattern.cs b/Sources/AngouriMath/Core/Transformations/Matching/MatchPattern.cs index de4602657..a2bb4022d 100644 --- a/Sources/AngouriMath/Core/Transformations/Matching/MatchPattern.cs +++ b/Sources/AngouriMath/Core/Transformations/Matching/MatchPattern.cs @@ -514,6 +514,8 @@ internal abstract bool ETryBuild( [typeof(Entity.Gcdf)] = (2, static c => new Entity.Gcdf(c[0], c[1])), [typeof(Entity.Lcmf)] = (2, static c => new Entity.Lcmf(c[0], c[1])), [typeof(Entity.Binomialf)] = (2, static c => new Entity.Binomialf(c[0], c[1])), + [typeof(Entity.FallingFactorialf)] = (2, static c => new Entity.FallingFactorialf(c[0], c[1])), + [typeof(Entity.RisingFactorialf)] = (2, static c => new Entity.RisingFactorialf(c[0], c[1])), [typeof(Entity.Minf)] = (2, static c => new Entity.Minf(c[0], c[1])), [typeof(Entity.Maxf)] = (2, static c => new Entity.Maxf(c[0], c[1])), // Comparisons and connectives. diff --git a/Sources/AngouriMath/Docs/Contributing/WritingARule.md b/Sources/AngouriMath/Docs/Contributing/WritingARule.md index 9516d5229..8c7e2adaf 100644 --- a/Sources/AngouriMath/Docs/Contributing/WritingARule.md +++ b/Sources/AngouriMath/Docs/Contributing/WritingARule.md @@ -110,7 +110,7 @@ itself, and needs no `when:` to say so. It is also strictly more specific than ` the ordering knows about — see below. **Matchable is not the same as buildable.** A pattern can be *matched* against any node type, but a -pattern used as a **replacement** must be one the library can construct: there are **73** such types. +pattern used as a **replacement** must be one the library can construct: there are **75** such types. Two families are deliberately absent, and neither is an oversight: - **binders** — `Lambda`, `Set.ConditionalSet`. They bind a variable, and `DirectChildren` renames it diff --git a/Sources/AngouriMath/Docs/Usage/Syntax.md b/Sources/AngouriMath/Docs/Usage/Syntax.md index d044f148b..a41e75ac2 100644 --- a/Sources/AngouriMath/Docs/Usage/Syntax.md +++ b/Sources/AngouriMath/Docs/Usage/Syntax.md @@ -330,6 +330,19 @@ or the odd indices (`sum(binomial(n, 2 l), l, 0, floor(n/2))` is `2^(n - 1)` for identities of chapter 8 of Sullivan and Mackey's *An Introduction to Proofs*, so that `forall n in ZZ+ : sum(k binomial(n, k), k, 0, n) = n 2^(n - 1)` is `True`. +**Factorial powers** — `fallingfactorial(x, n)` (or `factorialpower`, Mathematica's name) and +`risingfactorial(x, n)`, `x` to the `n` falling and rising: `x (x - 1) ... (x - n + 1)` and +`x (x + 1) ... (x + n - 1)` for a whole `n >= 0`, drawn with Knuth's bars as `x^{\underline{n}}` and +`x^{\overline{n}}` (*Concrete Mathematics*, §2.6). `fallingfactorial(5, 2)` is `20` and +`risingfactorial(3, 2)` is `12`. A negative whole `n` gives the reciprocal of `(x + 1) ... (x - n)` +falling and of `(x - 1) ... (x + n)` rising, so `fallingfactorial(5, -2)` is `1/42`, and any other `n` +the gamma ratio `Γ(x + 1)/Γ(x - n + 1)` falling and `Γ(x + n)/Γ(x)` rising, evaluated numerically. +Where the numerator has a pole there is no value, and where the denominator has one the value is `0`. +`pochhammer` is refused, since `(x)_n` is the rising factorial to some authors and the falling one to +others, and a conjugate as a whole exponent is drawn in brackets, `x^{\left(\overline{n}\right)}`, +so that it does not read as a rising factorial +([#2182](https://github.com/asc-community/AngouriMath/issues/2182)). + **Iverson bracket** — `iverson(P)`. `1` where the statement `P` holds and `0` where it does not, which is how a count is written as a sum: `sum(iverson(k divides 12), k, 1, 12)` is `6`, the number of divisors of `12`. A statement that is not decided keeps the node, which prints as `[\![P]\!]` in @@ -501,8 +514,8 @@ of them: `ZZ unite QQ` is `QQ`, `BB intersect ZZ` is `{}`, `ZZ* \ ZZ+` is `{ 0 } `{ x in QQ : not x in ZZ }`. The tokens take the sign: `ZZ*2` no longer reads as `ZZ * 2`. **Refused by name** — `trunc`, and the long names of functions to come: `zeta` `riemannzeta` -`hurwitzzeta` `lambertw` `productlog` `harmonicnumber` `catalannumber` `multinomial` `fallingfactorial` `factorialpower` -`risingfactorial` `forwarddifference`. Each is what some other +`hurwitzzeta` `lambertw` `productlog` `harmonicnumber` `catalannumber` `multinomial` +`forwarddifference`. 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 diff --git a/Sources/AngouriMath/Functions/Continuous/Solvers/EquationSolver/InvertNode.Classes.cs b/Sources/AngouriMath/Functions/Continuous/Solvers/EquationSolver/InvertNode.Classes.cs index ec542d99d..c8c02d027 100644 --- a/Sources/AngouriMath/Functions/Continuous/Solvers/EquationSolver/InvertNode.Classes.cs +++ b/Sources/AngouriMath/Functions/Continuous/Solvers/EquationSolver/InvertNode.Classes.cs @@ -374,6 +374,22 @@ partial record Binomialf null; } + partial record FallingFactorialf + { + // A factorial power takes a value at as many arguments as its order has factors, and at + // others for an order that is not whole. Left unsolved rather than answered with none. + private protected override IEnumerable? InvertNode(Entity value, Entity x) => + null; + } + + partial record RisingFactorialf + { + // A factorial power takes a value at as many arguments as its order has factors, and at + // others for an order that is not whole. Left unsolved rather than answered with none. + private protected override IEnumerable? InvertNode(Entity value, Entity x) => + null; + } + partial record Ref { // Where the real part is a value is a line, which no list of values of x is. Left unsolved. diff --git a/Sources/AngouriMath/Functions/Evaluation/Evaluation.Continuous/Evaluation.Continuous.Arithmetics.Classes.cs b/Sources/AngouriMath/Functions/Evaluation/Evaluation.Continuous/Evaluation.Continuous.Arithmetics.Classes.cs index 378c6ca64..6f3e41d05 100644 --- a/Sources/AngouriMath/Functions/Evaluation/Evaluation.Continuous/Evaluation.Continuous.Arithmetics.Classes.cs +++ b/Sources/AngouriMath/Functions/Evaluation/Evaluation.Continuous/Evaluation.Continuous.Arithmetics.Classes.cs @@ -583,6 +583,91 @@ private static Entity FallingFactorialOver(Number n, int k) } } + public partial record FallingFactorialf + { + // Defined for every whole order n >= 0; for a negative whole n where no factor of + // (x + 1) (x + 2) ... (x - n) vanishes; for any other n where Γ(x + 1) is, which is + // everywhere but the negative whole numbers. + private protected override Entity IntrinsicCondition => + Order.In(MathS.Sets.Z) & (Order >= 0 | !(Argument.In(MathS.Sets.Z) & Argument >= Order & Argument <= -1)) + | !Order.In(MathS.Sets.Z) & !(Argument.In(MathS.Sets.Z) & Argument < 0); + + /// + protected override Entity InnerSimplify(bool isExact) => + ExpandOnTwoArguments(Argument, Order, + (x, n) => (x, n) switch + { + (_, Integer { IsZero: true }) => Integer.One, + (Number value, Integer order) => FactorialPowers.OfAWholeOrder(value, order, falling: true), + // Γ(x + 1)/Γ(x - n + 1): no value at a pole of the numerator, and 0 at one of + // the denominator, whose reciprocal vanishes there. + (Integer { EInteger.Sign: < 0 }, Number) => MathS.NaN, + (Number value, Number order) when (value - order).Evaled is Integer { EInteger.Sign: < 0 } => Integer.Zero, + (Complex value, Complex order) when !isExact + && Number.Factorial(value) is var top && Number.Factorial(value - order) is var bottom && !top.IsNaN && !bottom.IsNaN + => top / bottom, + _ => null + }, + (@this, x, n) => ((FallingFactorialf)@this).New(x, n), isExact); + } + + public partial record RisingFactorialf + { + // Defined for every whole order n >= 0; for a negative whole n where no factor of + // (x - 1) (x - 2) ... (x + n) vanishes; for any other n where Γ(x + n) is, which is + // everywhere but where x + n is a whole number not above 0. + private protected override Entity IntrinsicCondition => + Order.In(MathS.Sets.Z) & (Order >= 0 | !(Argument.In(MathS.Sets.Z) & Argument >= 1 & Argument <= -Order)) + | !Order.In(MathS.Sets.Z) & !((Argument + Order).In(MathS.Sets.Z) & Argument + Order <= 0); + + /// + protected override Entity InnerSimplify(bool isExact) => + ExpandOnTwoArguments(Argument, Order, + (x, n) => (x, n) switch + { + (_, Integer { IsZero: true }) => Integer.One, + (Number value, Integer order) => FactorialPowers.OfAWholeOrder(value, order, falling: false), + // Γ(x + n)/Γ(x): no value at a pole of the numerator, and 0 at one of the + // denominator. + (Number value, Number order) when (value + order).Evaled is Integer { EInteger.Sign: <= 0 } => MathS.NaN, + (Integer { EInteger.Sign: <= 0 }, Number) => Integer.Zero, + (Complex value, Complex order) when !isExact + && Number.Factorial(value + order - 1) is var top && Number.Factorial(value - 1) is var bottom && !top.IsNaN && !bottom.IsNaN + => top / bottom, + _ => null + }, + (@this, x, n) => ((RisingFactorialf)@this).New(x, n), isExact); + } + + /// The falling and the rising factorial of a number to a whole order, as products. + private static class FactorialPowers + { + /// How long a product is built before the node is left as written. + private const int LongestProduct = 10000; + + /// + /// x (x - 1) ... (x - n + 1) falling and x (x + 1) ... (x + n - 1) rising for + /// n > 0, and for n < 0 the reciprocal of (x + 1) ... (x - n) + /// falling and of (x - 1) ... (x + n) rising, NaN where a factor vanishes. + /// + internal static Entity? OfAWholeOrder(Number x, Integer order, bool falling) + { + if (order.EInteger.Abs().CompareTo(PeterO.Numbers.EInteger.FromInt32(LongestProduct)) > 0) + return null; + var n = order.EInteger.ToInt32Checked(); + var step = falling == n > 0 ? -1 : 1; + Entity product = Integer.One; + for (var i = 0; i < System.Math.Abs(n); i++) + { + var factor = (x + Integer.Create(n > 0 ? step * i : step * (i + 1))).Evaled; + if (n < 0 && factor is Complex { IsZero: true }) + return MathS.NaN; + product = (product * factor).Evaled; + } + return n > 0 ? product : (Integer.One / product).Evaled; + } + } + public partial record Ref { // Defined everywhere on the complex plane. diff --git a/Sources/AngouriMath/Functions/Output/Latex/Latex.Arithmetics.Classes.cs b/Sources/AngouriMath/Functions/Output/Latex/Latex.Arithmetics.Classes.cs index e5f29bb0b..9a4a6ff4b 100644 --- a/Sources/AngouriMath/Functions/Output/Latex/Latex.Arithmetics.Classes.cs +++ b/Sources/AngouriMath/Functions/Output/Latex/Latex.Arithmetics.Classes.cs @@ -143,7 +143,9 @@ private protected override string LatexizeNode() } else { - return "{" + Base.Latexize(Base.LatexPriority <= LatexPriority) + "}^{" + Exponent.Latexize() + "}"; + // A conjugate as the whole exponent is bracketed, since x^{\overline{n}} is the rising + // factorial. https://github.com/asc-community/AngouriMath/issues/2182 + return "{" + Base.Latexize(Base.LatexPriority <= LatexPriority) + "}^{" + Exponent.Latexize(Exponent is Conjugatef) + "}"; } } } @@ -362,6 +364,25 @@ private protected override string LatexizeNode() => $@"\binom{{{Upper.Latexize()}}}{{{Lower.Latexize()}}}"; } + // Knuth's bars over and under the exponent, from Concrete Mathematics; the argument is + // bracketed as a power's base is, the factorial power being drawn as one. + // https://github.com/asc-community/AngouriMath/issues/2182 + partial record FallingFactorialf + { + internal override Priority LatexPriority => Priority.Pow; + /// + private protected override string LatexizeNode() + => "{" + Argument.Latexize(Argument.LatexPriority <= LatexPriority) + @"}^{\underline{" + Order.Latexize() + "}}"; + } + + partial record RisingFactorialf + { + internal override Priority LatexPriority => Priority.Pow; + /// + private protected override string LatexizeNode() + => "{" + Argument.Latexize(Argument.LatexPriority <= LatexPriority) + @"}^{\overline{" + Order.Latexize() + "}}"; + } + partial record Primef { /// diff --git a/Sources/AngouriMath/Functions/Output/ToString/ToString.Arithmetics.Classes.cs b/Sources/AngouriMath/Functions/Output/ToString/ToString.Arithmetics.Classes.cs index 059fa6a3a..df628944d 100644 --- a/Sources/AngouriMath/Functions/Output/ToString/ToString.Arithmetics.Classes.cs +++ b/Sources/AngouriMath/Functions/Output/ToString/ToString.Arithmetics.Classes.cs @@ -383,6 +383,22 @@ public partial record Binomialf public override string ToString() => Stringize(); } + public partial record FallingFactorialf + { + /// + private protected override string StringizeNode() => $"fallingfactorial({Argument.Stringize()}, {Order.Stringize()})"; + /// + public override string ToString() => Stringize(); + } + + public partial record RisingFactorialf + { + /// + private protected override string StringizeNode() => $"risingfactorial({Argument.Stringize()}, {Order.Stringize()})"; + /// + public override string ToString() => Stringize(); + } + public partial record DoubleFactorialf { /// diff --git a/Sources/AngouriMath/Functions/Output/ToSympy/ToSympy.Arithmetics.Classes.cs b/Sources/AngouriMath/Functions/Output/ToSympy/ToSympy.Arithmetics.Classes.cs index a81259009..92af993a3 100644 --- a/Sources/AngouriMath/Functions/Output/ToSympy/ToSympy.Arithmetics.Classes.cs +++ b/Sources/AngouriMath/Functions/Output/ToSympy/ToSympy.Arithmetics.Classes.cs @@ -261,6 +261,16 @@ internal override string ToSymPy() => $@"sympy.binomial({Upper.ToSymPy()}, {Lower.ToSymPy()})"; } + public partial record FallingFactorialf + { + internal override string ToSymPy() => $"sympy.ff({Argument.ToSymPy()}, {Order.ToSymPy()})"; + } + + public partial record RisingFactorialf + { + internal override string ToSymPy() => $"sympy.rf({Argument.ToSymPy()}, {Order.ToSymPy()})"; + } + public partial record Phif { internal override string ToSymPy() => $"sympy.totient({Argument.ToSymPy()})"; diff --git a/Sources/AngouriMath/Functions/Substitute.cs b/Sources/AngouriMath/Functions/Substitute.cs index b14d043a0..f0b22831e 100644 --- a/Sources/AngouriMath/Functions/Substitute.cs +++ b/Sources/AngouriMath/Functions/Substitute.cs @@ -174,6 +174,20 @@ public override Entity Substitute(Entity x, Entity value) => this == x ? value : New(Upper.Substitute(x, value), Lower.Substitute(x, value)); } + partial record FallingFactorialf + { + /// + public override Entity Substitute(Entity x, Entity value) + => this == x ? value : New(Argument.Substitute(x, value), Order.Substitute(x, value)); + } + + partial record RisingFactorialf + { + /// + public override Entity Substitute(Entity x, Entity value) + => this == x ? value : New(Argument.Substitute(x, value), Order.Substitute(x, value)); + } + partial record Signumf { /// diff --git a/Sources/AngouriMath/Functions/TreeAnalyzer/Sort.Classes.cs b/Sources/AngouriMath/Functions/TreeAnalyzer/Sort.Classes.cs index 88bae0113..4493ea55d 100644 --- a/Sources/AngouriMath/Functions/TreeAnalyzer/Sort.Classes.cs +++ b/Sources/AngouriMath/Functions/TreeAnalyzer/Sort.Classes.cs @@ -181,6 +181,16 @@ public partial record Binomialf private protected override string SortHashName(SortLevel level) => "binomialf_"; } + public partial record FallingFactorialf + { + private protected override string SortHashName(SortLevel level) => "fallingfactorialf_"; + } + + public partial record RisingFactorialf + { + private protected override string SortHashName(SortLevel level) => "risingfactorialf_"; + } + public partial record Derivativef { private protected override string SortHashName(SortLevel level) => "derivativef_"; diff --git a/Sources/MCP/AngouriMath.Mcp/Resources.cs b/Sources/MCP/AngouriMath.Mcp/Resources.cs index b384254fa..3faf78264 100644 --- a/Sources/MCP/AngouriMath.Mcp/Resources.cs +++ b/Sources/MCP/AngouriMath.Mcp/Resources.cs @@ -97,6 +97,7 @@ that every response returns. in `(-pi, pi]`; `Re` and `Im`, also spelled `re`, `im`, `real` and `imag`, `Im(x + i y)` being `y` - `floor ceil ceiling round min max gcd lcm` - `gamma factorial binomial phi prime valuation`, the postfix `n!` and `n!!` (the double factorial, not `(n!)!`), + `fallingfactorial(x, n)` (also `factorialpower`) and `risingfactorial(x, n)`, the factorial powers, and `mobius divisorsigma primenu primeomega primepi` (`moebiusmu` is `mobius`): `divisorsigma(k, n)` sums the `k`-th powers of the divisors of `n` - special functions: `erf erfc erfi Ei li Si Ci Shi Chi`, `digamma(z)` and `polygamma(n, z)`, and `gamma(a, z)`, the @@ -117,7 +118,7 @@ apply lambda` | You might write | Reality | |---|---| | `arcsinh(x)` | **refused.** The inverse hyperbolics are area functions: write `arsinh`, `asinh` or `arsh` | - | `trunc`, `zeta`, `lambertw`, `harmonicnumber`, `catalannumber`, `multinomial`, `fallingfactorial`, `risingfactorial` and other long names of functions to come | refused by name — not yet in the library | + | `trunc`, `zeta`, `lambertw`, `harmonicnumber`, `catalannumber`, `multinomial` 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` | diff --git a/Sources/Tests/AotSmokeTest/Program.cs b/Sources/Tests/AotSmokeTest/Program.cs index ac965f27f..203c86a93 100644 --- a/Sources/Tests/AotSmokeTest/Program.cs +++ b/Sources/Tests/AotSmokeTest/Program.cs @@ -132,6 +132,10 @@ private static void Parsing() CheckClose("mu + sigma + Omega at n = 12", At(mobius, "n", 12), 0 + 28 + 3); var primes = MathS.FromString("primepi(x)"); CheckClose("primepi at x = 100", At(primes, "x", 100), 25); + + // The factorial powers. https://github.com/asc-community/AngouriMath/issues/2182 + var factorialPowers = MathS.FromString("fallingfactorial(x, 3) + risingfactorial(x, 2)"); + CheckClose("x(x-1)(x-2) + x(x+1) at x = 5", At(factorialPowers, "x", 5), 60 + 30); } private static void Simplification() diff --git a/Sources/Tests/UnitTests/Common/PublicApi.txt b/Sources/Tests/UnitTests/Common/PublicApi.txt index 72ffb6819..7245ef3c6 100644 --- a/Sources/Tests/UnitTests/Common/PublicApi.txt +++ b/Sources/Tests/UnitTests/Common/PublicApi.txt @@ -1163,6 +1163,27 @@ AngouriMath.Entity+Factorialf.ToString() : System.String AngouriMath.Entity+Factorialf.ctor(AngouriMath.Entity) AngouriMath.Entity+Factorialf.op_Equality(AngouriMath.Entity+Factorialf, AngouriMath.Entity+Factorialf) : System.Boolean AngouriMath.Entity+Factorialf.op_Inequality(AngouriMath.Entity+Factorialf, AngouriMath.Entity+Factorialf) : System.Boolean +AngouriMath.Entity+FallingFactorialf.$() : AngouriMath.Entity+FallingFactorialf +AngouriMath.Entity+FallingFactorialf.Argument { } : AngouriMath.Entity +AngouriMath.Entity+FallingFactorialf.Codomain { } : AngouriMath.Core.Domain +AngouriMath.Entity+FallingFactorialf.Deconstruct(AngouriMath.Entity&, AngouriMath.Entity&) : System.Void +AngouriMath.Entity+FallingFactorialf.EqualityContract { } : System.Type +AngouriMath.Entity+FallingFactorialf.Equals(AngouriMath.Entity+FallingFactorialf) : System.Boolean +AngouriMath.Entity+FallingFactorialf.Equals(AngouriMath.Entity+Function) : System.Boolean +AngouriMath.Entity+FallingFactorialf.Equals(System.Object) : System.Boolean +AngouriMath.Entity+FallingFactorialf.GetHashCode() : System.Int32 +AngouriMath.Entity+FallingFactorialf.InitDirectChildren() : AngouriMath.Entity[] +AngouriMath.Entity+FallingFactorialf.InnerSimplify(System.Boolean) : AngouriMath.Entity +AngouriMath.Entity+FallingFactorialf.NodeFirstChild { } : AngouriMath.Entity +AngouriMath.Entity+FallingFactorialf.NodeSecondChild { } : AngouriMath.Entity +AngouriMath.Entity+FallingFactorialf.Order { } : AngouriMath.Entity +AngouriMath.Entity+FallingFactorialf.PrintMembers(System.Text.StringBuilder) : System.Boolean +AngouriMath.Entity+FallingFactorialf.Replace(System.Func) : AngouriMath.Entity +AngouriMath.Entity+FallingFactorialf.Substitute(AngouriMath.Entity, AngouriMath.Entity) : AngouriMath.Entity +AngouriMath.Entity+FallingFactorialf.ToString() : System.String +AngouriMath.Entity+FallingFactorialf.ctor(AngouriMath.Entity, AngouriMath.Entity) +AngouriMath.Entity+FallingFactorialf.op_Equality(AngouriMath.Entity+FallingFactorialf, AngouriMath.Entity+FallingFactorialf) : System.Boolean +AngouriMath.Entity+FallingFactorialf.op_Inequality(AngouriMath.Entity+FallingFactorialf, AngouriMath.Entity+FallingFactorialf) : System.Boolean AngouriMath.Entity+Floorf.$() : AngouriMath.Entity+Floorf AngouriMath.Entity+Floorf.Argument { } : AngouriMath.Entity AngouriMath.Entity+Floorf.Codomain { } : AngouriMath.Core.Domain @@ -2329,6 +2350,27 @@ AngouriMath.Entity+Ref.ToString() : System.String AngouriMath.Entity+Ref.ctor(AngouriMath.Entity) AngouriMath.Entity+Ref.op_Equality(AngouriMath.Entity+Ref, AngouriMath.Entity+Ref) : System.Boolean AngouriMath.Entity+Ref.op_Inequality(AngouriMath.Entity+Ref, AngouriMath.Entity+Ref) : System.Boolean +AngouriMath.Entity+RisingFactorialf.$() : AngouriMath.Entity+RisingFactorialf +AngouriMath.Entity+RisingFactorialf.Argument { } : AngouriMath.Entity +AngouriMath.Entity+RisingFactorialf.Codomain { } : AngouriMath.Core.Domain +AngouriMath.Entity+RisingFactorialf.Deconstruct(AngouriMath.Entity&, AngouriMath.Entity&) : System.Void +AngouriMath.Entity+RisingFactorialf.EqualityContract { } : System.Type +AngouriMath.Entity+RisingFactorialf.Equals(AngouriMath.Entity+Function) : System.Boolean +AngouriMath.Entity+RisingFactorialf.Equals(AngouriMath.Entity+RisingFactorialf) : System.Boolean +AngouriMath.Entity+RisingFactorialf.Equals(System.Object) : System.Boolean +AngouriMath.Entity+RisingFactorialf.GetHashCode() : System.Int32 +AngouriMath.Entity+RisingFactorialf.InitDirectChildren() : AngouriMath.Entity[] +AngouriMath.Entity+RisingFactorialf.InnerSimplify(System.Boolean) : AngouriMath.Entity +AngouriMath.Entity+RisingFactorialf.NodeFirstChild { } : AngouriMath.Entity +AngouriMath.Entity+RisingFactorialf.NodeSecondChild { } : AngouriMath.Entity +AngouriMath.Entity+RisingFactorialf.Order { } : AngouriMath.Entity +AngouriMath.Entity+RisingFactorialf.PrintMembers(System.Text.StringBuilder) : System.Boolean +AngouriMath.Entity+RisingFactorialf.Replace(System.Func) : AngouriMath.Entity +AngouriMath.Entity+RisingFactorialf.Substitute(AngouriMath.Entity, AngouriMath.Entity) : AngouriMath.Entity +AngouriMath.Entity+RisingFactorialf.ToString() : System.String +AngouriMath.Entity+RisingFactorialf.ctor(AngouriMath.Entity, AngouriMath.Entity) +AngouriMath.Entity+RisingFactorialf.op_Equality(AngouriMath.Entity+RisingFactorialf, AngouriMath.Entity+RisingFactorialf) : System.Boolean +AngouriMath.Entity+RisingFactorialf.op_Inequality(AngouriMath.Entity+RisingFactorialf, AngouriMath.Entity+RisingFactorialf) : System.Boolean AngouriMath.Entity+Roundf.$() : AngouriMath.Entity+Roundf AngouriMath.Entity+Roundf.Argument { } : AngouriMath.Entity AngouriMath.Entity+Roundf.Codomain { } : AngouriMath.Core.Domain @@ -3443,6 +3485,7 @@ AngouriMath.MathS.ExclusiveDisjunction(AngouriMath.Entity, AngouriMath.Entity) : AngouriMath.MathS.Exists(AngouriMath.Entity, AngouriMath.Entity, AngouriMath.Entity) : AngouriMath.Entity AngouriMath.MathS.ExistsUnique(AngouriMath.Entity, AngouriMath.Entity, AngouriMath.Entity) : AngouriMath.Entity AngouriMath.MathS.Factorial(AngouriMath.Entity) : AngouriMath.Entity +AngouriMath.MathS.FallingFactorial(AngouriMath.Entity, AngouriMath.Entity) : AngouriMath.Entity AngouriMath.MathS.Floor(AngouriMath.Entity) : AngouriMath.Entity AngouriMath.MathS.ForAll(AngouriMath.Entity, AngouriMath.Entity, AngouriMath.Entity) : AngouriMath.Entity AngouriMath.MathS.FromBaseN(System.String, System.Int32) : AngouriMath.Entity+Number+Real @@ -3500,6 +3543,7 @@ AngouriMath.MathS.Pow(AngouriMath.Entity, AngouriMath.Entity) : AngouriMath.Enti AngouriMath.MathS.Product(AngouriMath.Entity, AngouriMath.Entity, AngouriMath.Entity, AngouriMath.Entity) : AngouriMath.Entity AngouriMath.MathS.Provided(AngouriMath.Entity, AngouriMath.Entity) : AngouriMath.Entity AngouriMath.MathS.Re(AngouriMath.Entity) : AngouriMath.Entity +AngouriMath.MathS.RisingFactorial(AngouriMath.Entity, AngouriMath.Entity) : AngouriMath.Entity AngouriMath.MathS.Round(AngouriMath.Entity) : AngouriMath.Entity AngouriMath.MathS.Scalar(AngouriMath.Entity) : AngouriMath.Entity+Matrix AngouriMath.MathS.Sec(AngouriMath.Entity) : AngouriMath.Entity @@ -3642,6 +3686,7 @@ class AngouriMath.Entity+Erfif class AngouriMath.Entity+ExistsUniquef class AngouriMath.Entity+Existsf class AngouriMath.Entity+Factorialf +class AngouriMath.Entity+FallingFactorialf class AngouriMath.Entity+Floorf class AngouriMath.Entity+Forallf class AngouriMath.Entity+Function @@ -3688,6 +3733,7 @@ class AngouriMath.Entity+Productf class AngouriMath.Entity+Providedf class AngouriMath.Entity+Quantifier class AngouriMath.Entity+Ref +class AngouriMath.Entity+RisingFactorialf class AngouriMath.Entity+Roundf class AngouriMath.Entity+Secantf class AngouriMath.Entity+Set diff --git a/Sources/Tests/UnitTests/Convenience/FactorialPowerTest.cs b/Sources/Tests/UnitTests/Convenience/FactorialPowerTest.cs new file mode 100644 index 000000000..b2a501e0a --- /dev/null +++ b/Sources/Tests/UnitTests/Convenience/FactorialPowerTest.cs @@ -0,0 +1,123 @@ +// +// Copyright (c) 2019-2026 Angouri. +// AngouriMath is licensed under MIT. +// Details: https://github.com/asc-community/AngouriMath/blob/master/LICENSE.md. +// Website: https://am.angouri.org. +// + +using AngouriMath; +using AngouriMath.Extensions; +using PeterO.Numbers; +using Xunit; +using static AngouriMath.Entity; +using static AngouriMath.Entity.Number; + +namespace AngouriMath.Tests.Convenience +{ + /// + /// The falling and the rising factorial, x to the n falling and rising, in the notation of + /// Graham, Knuth and Patashnik's Concrete Mathematics. Both names were refused. + /// #2182 + /// + [Trait("Area", "Convenience")] + public sealed class FactorialPowerTest + { + [Theory] + [InlineData("fallingfactorial(5, 2)", "20")] + [InlineData("fallingfactorial(5, 0)", "1")] + [InlineData("fallingfactorial(x, 0)", "1")] + [InlineData("fallingfactorial(5, 5)", "120")] + [InlineData("fallingfactorial(5, 6)", "0")] + [InlineData("fallingfactorial(1/2, 2)", "-1/4")] + [InlineData("fallingfactorial(5, -2)", "1/42")] + [InlineData("fallingfactorial(-3, -2)", "1/2")] + [InlineData("factorialpower(7, 3)", "210")] + [InlineData("risingfactorial(3, 2)", "12")] + [InlineData("risingfactorial(3, 0)", "1")] + [InlineData("risingfactorial(3, -2)", "1/2")] + [InlineData("risingfactorial(0, 3)", "0")] + [InlineData("risingfactorial(-2, 3)", "0")] + [InlineData("risingfactorial(1/2, 3)", "15/8")] + public void TheyAreProductsForAWholeOrder(string written, string expected) + => Assert.Equal(expected.ToEntity().InnerSimplified, written.ToEntity().InnerSimplified); + + /// + /// For a negative order a factor of the reciprocal vanishes, and for any other the numerator + /// of the gamma ratio has a pole: fallingfactorial(-2, 1/2) is Γ(-1)/Γ(-3/2). + /// + [Theory] + [InlineData("fallingfactorial(-1, -1)")] + [InlineData("fallingfactorial(-2, -3)")] + [InlineData("fallingfactorial(-2, 1/2)")] + [InlineData("risingfactorial(1, -1)")] + [InlineData("risingfactorial(2, -3)")] + [InlineData("risingfactorial(-1/2, 1/2)")] + public void TheyHaveNoValueAtAPole(string written) + => Assert.Equal(MathS.NaN, written.ToEntity().InnerSimplified); + + /// + /// At a pole of the denominator's gamma function the reciprocal vanishes: + /// fallingfactorial(1/2, 3/2) is Γ(3/2)/Γ(0), and risingfactorial(0, 1/2) is Γ(1/2)/Γ(0). + /// + [Theory] + [InlineData("fallingfactorial(1/2, 3/2)")] + [InlineData("risingfactorial(0, 1/2)")] + [InlineData("risingfactorial(-3, 5/2)")] + public void TheyVanishAtAPoleOfTheDenominator(string written) + => Assert.Equal(Integer.Zero, written.ToEntity().InnerSimplified); + + /// Γ(6)/Γ(11/2) and Γ(5/2)/Γ(2), against mpmath to 30 digits. + [Theory] + [InlineData("fallingfactorial(5, 1/2)", "2.29257989505120015013822761269")] + [InlineData("risingfactorial(2, 1/2)", "1.32934038817913702047362561251")] + public void ForAnyOtherOrderTheyAreAGammaRatio(string written, string expected) + { + var value = Assert.IsAssignableFrom(written.ToEntity().EvalNumerical()); + var difference = value.EDecimal.Subtract(EDecimal.FromString(expected)).Abs(); + Assert.True(difference.CompareTo(EDecimal.FromString("1e-20")) < 0, value.Stringize()); + } + + /// x to the n rising is x + n - 1 to the n falling. + [Theory] + [InlineData(-3)] + [InlineData(-1)] + [InlineData(1)] + [InlineData(4)] + public void TheRisingFactorialIsAFallingOne(int n) + { + var x = Rational.Create(7, 3); + Assert.Equal( + MathS.FallingFactorial(x + n - 1, n).InnerSimplified, + MathS.RisingFactorial(x, n).InnerSimplified); + } + + [Fact] + public void ABinomialCoefficientIsAFallingFactorialOverAFactorial() + => Assert.Equal(MathS.Binomial(7, 3).InnerSimplified, (MathS.FallingFactorial(7, 3) / MathS.Factorial(3)).InnerSimplified); + + [Fact] + public void ASymbolKeepsTheNode() + { + Assert.IsType("fallingfactorial(x, 3)".ToEntity().InnerSimplified); + Assert.IsType("risingfactorial(2, n)".ToEntity().InnerSimplified); + } + + /// + /// Knuth's bars. A conjugate as the whole exponent of a power is bracketed, so that it does + /// not read as a rising factorial. + /// + [Theory] + [InlineData("fallingfactorial(x, n)", "fallingfactorial(x, n)", @"{x}^{\underline{n}}", "sympy.ff(x, n)")] + [InlineData("factorialpower(x + 1, n)", "fallingfactorial(x + 1, n)", @"{\left(x+1\right)}^{\underline{n}}", "sympy.ff(x + 1, n)")] + [InlineData("risingfactorial(x, n)", "risingfactorial(x, n)", @"{x}^{\overline{n}}", "sympy.rf(x, n)")] + [InlineData("x ^ conj(n)", "x ^ conjugate(n)", @"{x}^{\left(\overline{n}\right)}", "x ** sympy.conjugate(n)")] + public void TheyAreWrittenWithKnuthsBars(string written, string stringized, string latex, string sympy) + { + var parsed = written.ToEntity(); + Assert.Equal(stringized, parsed.Stringize()); + Assert.Equal(parsed, parsed.Stringize().ToEntity()); + Assert.Equal(latex, parsed.Latexize()); + Assert.Equal(sympy, parsed.ToSymPy()); + } + } +} diff --git a/Sources/Tests/UnitTests/Convenience/MissingFunctionNamesRefusedTest.cs b/Sources/Tests/UnitTests/Convenience/MissingFunctionNamesRefusedTest.cs index bd586c3fd..5907d18c0 100644 --- a/Sources/Tests/UnitTests/Convenience/MissingFunctionNamesRefusedTest.cs +++ b/Sources/Tests/UnitTests/Convenience/MissingFunctionNamesRefusedTest.cs @@ -36,8 +36,9 @@ public sealed class MissingFunctionNamesRefusedTest // 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. mobius, - // moebiusmu, divisorsigma, primenu, primeomega and primepi, and laplacian, jacobian and - // hessian, were among them until they were implemented, in the same issue. + // moebiusmu, divisorsigma, primenu, primeomega and primepi, laplacian, jacobian and hessian, + // and fallingfactorial, factorialpower and risingfactorial were among them until they were + // implemented, in the same issue. [Theory] [InlineData("trunc(x)")] [InlineData("zeta(s)")] @@ -49,9 +50,6 @@ public sealed class MissingFunctionNamesRefusedTest [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("heaviside(x)")] [InlineData("unitstep(x)")] diff --git a/Sources/Tests/UnitTests/Core/Transformations/RuleAuthoringGuideTest.cs b/Sources/Tests/UnitTests/Core/Transformations/RuleAuthoringGuideTest.cs index c2d4e8036..21f0644a1 100644 --- a/Sources/Tests/UnitTests/Core/Transformations/RuleAuthoringGuideTest.cs +++ b/Sources/Tests/UnitTests/Core/Transformations/RuleAuthoringGuideTest.cs @@ -79,7 +79,7 @@ public void TheIdentityIsNotTheName() [Fact] public void ThePatternLanguage() - => Stated(73, MatchPattern.BuildableNodeTypes.Count, "the number of buildable node types"); + => Stated(75, MatchPattern.BuildableNodeTypes.Count, "the number of buildable node types"); [Fact] public void ReplacementAPatternOrCode()