From c053d361ab4ec94b14b829fe084053d1f58d13e4 Mon Sep 17 00:00:00 2001 From: Rafael Vuijk Date: Thu, 29 Oct 2026 13:10:06 +0000 Subject: [PATCH] The forward difference forwarddifference(f, k) was reserved by name in #2184. It is now f(k + 1) - f(k), the forward difference with a step of 1, as Mathematica's DifferenceDelta[f, k] is. It is written that way when parsed, as laplacian is, and needs no node: forwarddifference(k^2, k) simplifies to 1 + 2 k, and sum(forwarddifference(k^3, k), k, 1, 5) is 215, which is 6^3 - 1. A derivative in f is taken at k + 1, as #2189 lets it be, so the difference of derivative(k^3, k) is 6 k + 3. It is taken in a variable, and a number or a constant in that place is refused. Part of #2182. Co-Authored-By: Claude Opus 5.5 (1M context) Claude-Session: https://claude.ai/code/session_012sonx8iAspMiwRwokT1Ura --- BREAKING-CHANGES.md | 14 +- Sources/.editorconfig | 3 + Sources/AngouriMath/Core/Antlr/AngouriMath.g | 2 +- .../AngouriMath/Core/Antlr/AngouriMath.interp | 2 +- .../AngouriMath/Core/Antlr/AngouriMath.tokens | 38 ++--- .../Core/Antlr/AngouriMathLexer.cs | 130 +++++++++--------- .../Core/Antlr/AngouriMathLexer.interp | 4 +- .../Core/Antlr/AngouriMathLexer.tokens | 38 ++--- .../Core/Antlr/AngouriMathParser.cs | 48 +++---- .../AngouriMath/Core/Antlr/ParsingHelpers.cs | 12 ++ Sources/AngouriMath/Docs/Usage/Syntax.md | 9 +- Sources/MCP/AngouriMath.Mcp/Resources.cs | 1 + Sources/Tests/AotSmokeTest/Program.cs | 2 + .../Convenience/ForwardDifferenceTest.cs | 57 ++++++++ .../MissingFunctionNamesRefusedTest.cs | 6 +- 15 files changed, 228 insertions(+), 138 deletions(-) create mode 100644 Sources/Tests/UnitTests/Convenience/ForwardDifferenceTest.cs diff --git a/BREAKING-CHANGES.md b/BREAKING-CHANGES.md index 9e004729b..8c375c080 100644 --- a/BREAKING-CHANGES.md +++ b/BREAKING-CHANGES.md @@ -483,8 +483,7 @@ 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` and -`forwarddifference`. Names that will not be functions, +is: `zeta`, `riemannzeta`, `hurwitzzeta`, `lambertw` and `productlog`. 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 @@ -532,6 +531,17 @@ 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 forward difference + +**Not silent: `forwarddifference(f, k)` is `f(k + 1) - f(k)`, written so when it is parsed, where it was a parse error.** +It is the forward difference with a step of 1, as Mathematica's `DifferenceDelta[f, k]` is, taken in a variable +([#2182](https://github.com/asc-community/AngouriMath/issues/2182)). + +| Input | Was (2.6.0) | Now | +|---|---|---| +| `"forwarddifference(k^2, k)".ToEntity().Simplify()` | throws `UnhandledParseException` | `1 + 2 * k` | +| `"forwarddifference(2^k, k)".ToEntity()` | throws `UnhandledParseException` | `2 ^ (k + 1) - 2 ^ k` | + ### The harmonic numbers **Not silent: `harmonicnumber(n)` and `harmonicnumber(n, m)` are the harmonic numbers, where the one was a product and the diff --git a/Sources/.editorconfig b/Sources/.editorconfig index 4e5862c8a..7557d58d4 100644 --- a/Sources/.editorconfig +++ b/Sources/.editorconfig @@ -832,3 +832,6 @@ file_header_template=\nCopyright (c) 2019-2026 Angouri.\nAngouriMath is licensed [Tests/UnitTests/Convenience/HarmonicNumberTest.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/ForwardDifferenceTest.cs] +file_header_template=\nCopyright (c) 2019-2026 Angouri.\nAngouriMath is licensed under MIT.\nDetails: https://github.com/asc-community/AngouriMath/blob/master/LICENSE.md.\nWebsite: https://am.angouri.org.\n diff --git a/Sources/AngouriMath/Core/Antlr/AngouriMath.g b/Sources/AngouriMath/Core/Antlr/AngouriMath.g index 0a4158223..37b2e1b50 100644 --- a/Sources/AngouriMath/Core/Antlr/AngouriMath.g +++ b/Sources/AngouriMath/Core/Antlr/AngouriMath.g @@ -660,6 +660,7 @@ atom returns[Entity value] | 'dot(' args = function_arguments ')' { Assert("dot", 2, $args.list.Count); $value = ParsingHelpers.Dot($args.list[0], $args.list[1]); } | 'cross(' args = function_arguments ')' { Assert("cross", (1, 2), $args.list.Count); $value = ParsingHelpers.Cross($args.list); } | 'laplacian(' args = function_arguments ')' { Assert("laplacian", 2, $args.list.Count); $value = ParsingHelpers.Laplacian($args.list[0], $args.list[1]); } + | 'forwarddifference(' args = function_arguments ')' { Assert("forwarddifference", 2, $args.list.Count); $value = ParsingHelpers.ForwardDifference($args.list[0], $args.list[1]); } | 'jacobian(' args = function_arguments ')' { Assert("jacobian", 2, $args.list.Count); $value = ParsingHelpers.Jacobian($args.list[0], $args.list[1]); } | 'hessian(' args = function_arguments ')' { Assert("hessian", 2, $args.list.Count); $value = ParsingHelpers.Hessian($args.list[0], $args.list[1]); } | 'resultant(' args = function_arguments ')' { Assert("resultant", 3, $args.list.Count); $value = ParsingHelpers.Resultant($args.list[0], $args.list[1], $args.list[2]); } @@ -696,7 +697,6 @@ atom returns[Entity value] | 'hurwitzzeta(' args = function_arguments ')' { $value = NotImplementedFunction("hurwitzzeta", "Hurwitz zeta function yet"); } | 'lambertw(' args = function_arguments ')' { $value = NotImplementedFunction("lambertw", "Lambert W function yet"); } | 'productlog(' args = function_arguments ')' { $value = NotImplementedFunction("productlog", "Lambert W function yet"); } - | '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. */ | 'heaviside(' args = function_arguments ')' { $value = NotAFunctionHere("heaviside", "its value at 0 is 0, 1/2 or 1 by source; write iverson(x > 0), iverson(x >= 0) or (1 + sgn(x))/2"); } diff --git a/Sources/AngouriMath/Core/Antlr/AngouriMath.interp b/Sources/AngouriMath/Core/Antlr/AngouriMath.interp index 391f8f3c9..ba6f01765 100644 --- a/Sources/AngouriMath/Core/Antlr/AngouriMath.interp +++ b/Sources/AngouriMath/Core/Antlr/AngouriMath.interp @@ -198,6 +198,7 @@ null 'dot(' 'cross(' 'laplacian(' +'forwarddifference(' 'jacobian(' 'hessian(' 'resultant(' @@ -216,7 +217,6 @@ null 'hurwitzzeta(' 'lambertw(' 'productlog(' -'forwarddifference(' 'heaviside(' 'unitstep(' 'isprime(' diff --git a/Sources/AngouriMath/Core/Antlr/AngouriMath.tokens b/Sources/AngouriMath/Core/Antlr/AngouriMath.tokens index c48e79814..280a47a99 100644 --- a/Sources/AngouriMath/Core/Antlr/AngouriMath.tokens +++ b/Sources/AngouriMath/Core/Antlr/AngouriMath.tokens @@ -433,25 +433,25 @@ WS=237 'dot('=196 'cross('=197 'laplacian('=198 -'jacobian('=199 -'hessian('=200 -'resultant('=201 -'conjugate('=202 -'conj('=203 -'arg('=204 -'Re('=205 -'Im('=206 -'re('=207 -'real('=208 -'im('=209 -'imag('=210 -'trunc('=211 -'zeta('=212 -'riemannzeta('=213 -'hurwitzzeta('=214 -'lambertw('=215 -'productlog('=216 -'forwarddifference('=217 +'forwarddifference('=199 +'jacobian('=200 +'hessian('=201 +'resultant('=202 +'conjugate('=203 +'conj('=204 +'arg('=205 +'Re('=206 +'Im('=207 +'re('=208 +'real('=209 +'im('=210 +'imag('=211 +'trunc('=212 +'zeta('=213 +'riemannzeta('=214 +'hurwitzzeta('=215 +'lambertw('=216 +'productlog('=217 'heaviside('=218 'unitstep('=219 'isprime('=220 diff --git a/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.cs b/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.cs index e44a51a39..a2075466a 100644 --- a/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.cs +++ b/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.cs @@ -162,11 +162,11 @@ public AngouriMathLexer(ICharStream input, TextWriter output, TextWriter errorOu "'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('", "'forwarddifference('", "'heaviside('", - "'unitstep('", "'isprime('", "'pochhammer('", "'doublefactorial('", "'factorial2('", + "'cross('", "'laplacian('", "'forwarddifference('", "'jacobian('", "'hessian('", + "'resultant('", "'conjugate('", "'conj('", "'arg('", "'Re('", "'Im('", + "'re('", "'real('", "'im('", "'imag('", "'trunc('", "'zeta('", "'riemannzeta('", + "'hurwitzzeta('", "'lambertw('", "'productlog('", "'heaviside('", "'unitstep('", + "'isprime('", "'pochhammer('", "'doublefactorial('", "'factorial2('", "'fractionalpart('", "'quotient('", "'domain('", "'piecewise('", "'apply('", "'lambda('", null, null, null, null, "'NaN'" }; @@ -359,18 +359,18 @@ static AngouriMathLexer() { 1,194,1,194,1,194,1,194,1,194,1,194,1,194,1,194,1,195,1,195,1,195,1,195, 1,195,1,196,1,196,1,196,1,196,1,196,1,196,1,196,1,197,1,197,1,197,1,197, 1,197,1,197,1,197,1,197,1,197,1,197,1,197,1,198,1,198,1,198,1,198,1,198, - 1,198,1,198,1,198,1,198,1,198,1,199,1,199,1,199,1,199,1,199,1,199,1,199, - 1,199,1,199,1,200,1,200,1,200,1,200,1,200,1,200,1,200,1,200,1,200,1,200, - 1,200,1,201,1,201,1,201,1,201,1,201,1,201,1,201,1,201,1,201,1,201,1,201, - 1,202,1,202,1,202,1,202,1,202,1,202,1,203,1,203,1,203,1,203,1,203,1,204, - 1,204,1,204,1,204,1,205,1,205,1,205,1,205,1,206,1,206,1,206,1,206,1,207, - 1,207,1,207,1,207,1,207,1,207,1,208,1,208,1,208,1,208,1,209,1,209,1,209, - 1,209,1,209,1,209,1,210,1,210,1,210,1,210,1,210,1,210,1,210,1,211,1,211, - 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, - 1,213,1,213,1,213,1,213,1,213,1,213,1,214,1,214,1,214,1,214,1,214,1,214, - 1,214,1,214,1,214,1,214,1,215,1,215,1,215,1,215,1,215,1,215,1,215,1,215, - 1,215,1,215,1,215,1,215,1,216,1,216,1,216,1,216,1,216,1,216,1,216,1,216, + 1,198,1,198,1,198,1,198,1,198,1,198,1,198,1,198,1,198,1,198,1,198,1,198, + 1,198,1,198,1,199,1,199,1,199,1,199,1,199,1,199,1,199,1,199,1,199,1,199, + 1,200,1,200,1,200,1,200,1,200,1,200,1,200,1,200,1,200,1,201,1,201,1,201, + 1,201,1,201,1,201,1,201,1,201,1,201,1,201,1,201,1,202,1,202,1,202,1,202, + 1,202,1,202,1,202,1,202,1,202,1,202,1,202,1,203,1,203,1,203,1,203,1,203, + 1,203,1,204,1,204,1,204,1,204,1,204,1,205,1,205,1,205,1,205,1,206,1,206, + 1,206,1,206,1,207,1,207,1,207,1,207,1,208,1,208,1,208,1,208,1,208,1,208, + 1,209,1,209,1,209,1,209,1,210,1,210,1,210,1,210,1,210,1,210,1,211,1,211, + 1,211,1,211,1,211,1,211,1,211,1,212,1,212,1,212,1,212,1,212,1,212,1,213, + 1,213,1,213,1,213,1,213,1,213,1,213,1,213,1,213,1,213,1,213,1,213,1,213, + 1,214,1,214,1,214,1,214,1,214,1,214,1,214,1,214,1,214,1,214,1,214,1,214, + 1,214,1,215,1,215,1,215,1,215,1,215,1,215,1,215,1,215,1,215,1,215,1,216, 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, 1,218,1,218,1,218,1,218,1,218,1,218,1,218,1,218,1,219,1,219,1,219,1,219, @@ -517,11 +517,11 @@ static AngouriMathLexer() { 1670,1,0,0,0,375,1674,1,0,0,0,377,1685,1,0,0,0,379,1694,1,0,0,0,381,1698, 1,0,0,0,383,1702,1,0,0,0,385,1707,1,0,0,0,387,1712,1,0,0,0,389,1717,1, 0,0,0,391,1728,1,0,0,0,393,1733,1,0,0,0,395,1740,1,0,0,0,397,1751,1,0, - 0,0,399,1761,1,0,0,0,401,1770,1,0,0,0,403,1781,1,0,0,0,405,1792,1,0,0, - 0,407,1798,1,0,0,0,409,1803,1,0,0,0,411,1807,1,0,0,0,413,1811,1,0,0,0, - 415,1815,1,0,0,0,417,1821,1,0,0,0,419,1825,1,0,0,0,421,1831,1,0,0,0,423, - 1838,1,0,0,0,425,1844,1,0,0,0,427,1857,1,0,0,0,429,1870,1,0,0,0,431,1880, - 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, + 0,0,399,1770,1,0,0,0,401,1780,1,0,0,0,403,1789,1,0,0,0,405,1800,1,0,0, + 0,407,1811,1,0,0,0,409,1817,1,0,0,0,411,1822,1,0,0,0,413,1826,1,0,0,0, + 415,1830,1,0,0,0,417,1834,1,0,0,0,419,1840,1,0,0,0,421,1844,1,0,0,0,423, + 1850,1,0,0,0,425,1857,1,0,0,0,427,1863,1,0,0,0,429,1876,1,0,0,0,431,1889, + 1,0,0,0,433,1899,1,0,0,0,435,1911,1,0,0,0,437,1922,1,0,0,0,439,1932,1, 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, 0,457,2034,1,0,0,0,459,2046,1,0,0,0,461,2052,1,0,0,0,463,2094,1,0,0,0, @@ -856,49 +856,49 @@ static AngouriMathLexer() { 5,108,0,0,1741,1742,5,97,0,0,1742,1743,5,112,0,0,1743,1744,5,108,0,0,1744, 1745,5,97,0,0,1745,1746,5,99,0,0,1746,1747,5,105,0,0,1747,1748,5,97,0, 0,1748,1749,5,110,0,0,1749,1750,5,40,0,0,1750,396,1,0,0,0,1751,1752,5, - 106,0,0,1752,1753,5,97,0,0,1753,1754,5,99,0,0,1754,1755,5,111,0,0,1755, - 1756,5,98,0,0,1756,1757,5,105,0,0,1757,1758,5,97,0,0,1758,1759,5,110,0, - 0,1759,1760,5,40,0,0,1760,398,1,0,0,0,1761,1762,5,104,0,0,1762,1763,5, - 101,0,0,1763,1764,5,115,0,0,1764,1765,5,115,0,0,1765,1766,5,105,0,0,1766, - 1767,5,97,0,0,1767,1768,5,110,0,0,1768,1769,5,40,0,0,1769,400,1,0,0,0, - 1770,1771,5,114,0,0,1771,1772,5,101,0,0,1772,1773,5,115,0,0,1773,1774, - 5,117,0,0,1774,1775,5,108,0,0,1775,1776,5,116,0,0,1776,1777,5,97,0,0,1777, - 1778,5,110,0,0,1778,1779,5,116,0,0,1779,1780,5,40,0,0,1780,402,1,0,0,0, - 1781,1782,5,99,0,0,1782,1783,5,111,0,0,1783,1784,5,110,0,0,1784,1785,5, - 106,0,0,1785,1786,5,117,0,0,1786,1787,5,103,0,0,1787,1788,5,97,0,0,1788, - 1789,5,116,0,0,1789,1790,5,101,0,0,1790,1791,5,40,0,0,1791,404,1,0,0,0, - 1792,1793,5,99,0,0,1793,1794,5,111,0,0,1794,1795,5,110,0,0,1795,1796,5, - 106,0,0,1796,1797,5,40,0,0,1797,406,1,0,0,0,1798,1799,5,97,0,0,1799,1800, - 5,114,0,0,1800,1801,5,103,0,0,1801,1802,5,40,0,0,1802,408,1,0,0,0,1803, - 1804,5,82,0,0,1804,1805,5,101,0,0,1805,1806,5,40,0,0,1806,410,1,0,0,0, - 1807,1808,5,73,0,0,1808,1809,5,109,0,0,1809,1810,5,40,0,0,1810,412,1,0, - 0,0,1811,1812,5,114,0,0,1812,1813,5,101,0,0,1813,1814,5,40,0,0,1814,414, - 1,0,0,0,1815,1816,5,114,0,0,1816,1817,5,101,0,0,1817,1818,5,97,0,0,1818, - 1819,5,108,0,0,1819,1820,5,40,0,0,1820,416,1,0,0,0,1821,1822,5,105,0,0, - 1822,1823,5,109,0,0,1823,1824,5,40,0,0,1824,418,1,0,0,0,1825,1826,5,105, - 0,0,1826,1827,5,109,0,0,1827,1828,5,97,0,0,1828,1829,5,103,0,0,1829,1830, - 5,40,0,0,1830,420,1,0,0,0,1831,1832,5,116,0,0,1832,1833,5,114,0,0,1833, - 1834,5,117,0,0,1834,1835,5,110,0,0,1835,1836,5,99,0,0,1836,1837,5,40,0, - 0,1837,422,1,0,0,0,1838,1839,5,122,0,0,1839,1840,5,101,0,0,1840,1841,5, - 116,0,0,1841,1842,5,97,0,0,1842,1843,5,40,0,0,1843,424,1,0,0,0,1844,1845, - 5,114,0,0,1845,1846,5,105,0,0,1846,1847,5,101,0,0,1847,1848,5,109,0,0, - 1848,1849,5,97,0,0,1849,1850,5,110,0,0,1850,1851,5,110,0,0,1851,1852,5, - 122,0,0,1852,1853,5,101,0,0,1853,1854,5,116,0,0,1854,1855,5,97,0,0,1855, - 1856,5,40,0,0,1856,426,1,0,0,0,1857,1858,5,104,0,0,1858,1859,5,117,0,0, - 1859,1860,5,114,0,0,1860,1861,5,119,0,0,1861,1862,5,105,0,0,1862,1863, - 5,116,0,0,1863,1864,5,122,0,0,1864,1865,5,122,0,0,1865,1866,5,101,0,0, - 1866,1867,5,116,0,0,1867,1868,5,97,0,0,1868,1869,5,40,0,0,1869,428,1,0, - 0,0,1870,1871,5,108,0,0,1871,1872,5,97,0,0,1872,1873,5,109,0,0,1873,1874, - 5,98,0,0,1874,1875,5,101,0,0,1875,1876,5,114,0,0,1876,1877,5,116,0,0,1877, - 1878,5,119,0,0,1878,1879,5,40,0,0,1879,430,1,0,0,0,1880,1881,5,112,0,0, - 1881,1882,5,114,0,0,1882,1883,5,111,0,0,1883,1884,5,100,0,0,1884,1885, - 5,117,0,0,1885,1886,5,99,0,0,1886,1887,5,116,0,0,1887,1888,5,108,0,0,1888, - 1889,5,111,0,0,1889,1890,5,103,0,0,1890,1891,5,40,0,0,1891,432,1,0,0,0, - 1892,1893,5,102,0,0,1893,1894,5,111,0,0,1894,1895,5,114,0,0,1895,1896, - 5,119,0,0,1896,1897,5,97,0,0,1897,1898,5,114,0,0,1898,1899,5,100,0,0,1899, - 1900,5,100,0,0,1900,1901,5,105,0,0,1901,1902,5,102,0,0,1902,1903,5,102, - 0,0,1903,1904,5,101,0,0,1904,1905,5,114,0,0,1905,1906,5,101,0,0,1906,1907, - 5,110,0,0,1907,1908,5,99,0,0,1908,1909,5,101,0,0,1909,1910,5,40,0,0,1910, + 102,0,0,1752,1753,5,111,0,0,1753,1754,5,114,0,0,1754,1755,5,119,0,0,1755, + 1756,5,97,0,0,1756,1757,5,114,0,0,1757,1758,5,100,0,0,1758,1759,5,100, + 0,0,1759,1760,5,105,0,0,1760,1761,5,102,0,0,1761,1762,5,102,0,0,1762,1763, + 5,101,0,0,1763,1764,5,114,0,0,1764,1765,5,101,0,0,1765,1766,5,110,0,0, + 1766,1767,5,99,0,0,1767,1768,5,101,0,0,1768,1769,5,40,0,0,1769,398,1,0, + 0,0,1770,1771,5,106,0,0,1771,1772,5,97,0,0,1772,1773,5,99,0,0,1773,1774, + 5,111,0,0,1774,1775,5,98,0,0,1775,1776,5,105,0,0,1776,1777,5,97,0,0,1777, + 1778,5,110,0,0,1778,1779,5,40,0,0,1779,400,1,0,0,0,1780,1781,5,104,0,0, + 1781,1782,5,101,0,0,1782,1783,5,115,0,0,1783,1784,5,115,0,0,1784,1785, + 5,105,0,0,1785,1786,5,97,0,0,1786,1787,5,110,0,0,1787,1788,5,40,0,0,1788, + 402,1,0,0,0,1789,1790,5,114,0,0,1790,1791,5,101,0,0,1791,1792,5,115,0, + 0,1792,1793,5,117,0,0,1793,1794,5,108,0,0,1794,1795,5,116,0,0,1795,1796, + 5,97,0,0,1796,1797,5,110,0,0,1797,1798,5,116,0,0,1798,1799,5,40,0,0,1799, + 404,1,0,0,0,1800,1801,5,99,0,0,1801,1802,5,111,0,0,1802,1803,5,110,0,0, + 1803,1804,5,106,0,0,1804,1805,5,117,0,0,1805,1806,5,103,0,0,1806,1807, + 5,97,0,0,1807,1808,5,116,0,0,1808,1809,5,101,0,0,1809,1810,5,40,0,0,1810, + 406,1,0,0,0,1811,1812,5,99,0,0,1812,1813,5,111,0,0,1813,1814,5,110,0,0, + 1814,1815,5,106,0,0,1815,1816,5,40,0,0,1816,408,1,0,0,0,1817,1818,5,97, + 0,0,1818,1819,5,114,0,0,1819,1820,5,103,0,0,1820,1821,5,40,0,0,1821,410, + 1,0,0,0,1822,1823,5,82,0,0,1823,1824,5,101,0,0,1824,1825,5,40,0,0,1825, + 412,1,0,0,0,1826,1827,5,73,0,0,1827,1828,5,109,0,0,1828,1829,5,40,0,0, + 1829,414,1,0,0,0,1830,1831,5,114,0,0,1831,1832,5,101,0,0,1832,1833,5,40, + 0,0,1833,416,1,0,0,0,1834,1835,5,114,0,0,1835,1836,5,101,0,0,1836,1837, + 5,97,0,0,1837,1838,5,108,0,0,1838,1839,5,40,0,0,1839,418,1,0,0,0,1840, + 1841,5,105,0,0,1841,1842,5,109,0,0,1842,1843,5,40,0,0,1843,420,1,0,0,0, + 1844,1845,5,105,0,0,1845,1846,5,109,0,0,1846,1847,5,97,0,0,1847,1848,5, + 103,0,0,1848,1849,5,40,0,0,1849,422,1,0,0,0,1850,1851,5,116,0,0,1851,1852, + 5,114,0,0,1852,1853,5,117,0,0,1853,1854,5,110,0,0,1854,1855,5,99,0,0,1855, + 1856,5,40,0,0,1856,424,1,0,0,0,1857,1858,5,122,0,0,1858,1859,5,101,0,0, + 1859,1860,5,116,0,0,1860,1861,5,97,0,0,1861,1862,5,40,0,0,1862,426,1,0, + 0,0,1863,1864,5,114,0,0,1864,1865,5,105,0,0,1865,1866,5,101,0,0,1866,1867, + 5,109,0,0,1867,1868,5,97,0,0,1868,1869,5,110,0,0,1869,1870,5,110,0,0,1870, + 1871,5,122,0,0,1871,1872,5,101,0,0,1872,1873,5,116,0,0,1873,1874,5,97, + 0,0,1874,1875,5,40,0,0,1875,428,1,0,0,0,1876,1877,5,104,0,0,1877,1878, + 5,117,0,0,1878,1879,5,114,0,0,1879,1880,5,119,0,0,1880,1881,5,105,0,0, + 1881,1882,5,116,0,0,1882,1883,5,122,0,0,1883,1884,5,122,0,0,1884,1885, + 5,101,0,0,1885,1886,5,116,0,0,1886,1887,5,97,0,0,1887,1888,5,40,0,0,1888, + 430,1,0,0,0,1889,1890,5,108,0,0,1890,1891,5,97,0,0,1891,1892,5,109,0,0, + 1892,1893,5,98,0,0,1893,1894,5,101,0,0,1894,1895,5,114,0,0,1895,1896,5, + 116,0,0,1896,1897,5,119,0,0,1897,1898,5,40,0,0,1898,432,1,0,0,0,1899,1900, + 5,112,0,0,1900,1901,5,114,0,0,1901,1902,5,111,0,0,1902,1903,5,100,0,0, + 1903,1904,5,117,0,0,1904,1905,5,99,0,0,1905,1906,5,116,0,0,1906,1907,5, + 108,0,0,1907,1908,5,111,0,0,1908,1909,5,103,0,0,1909,1910,5,40,0,0,1910, 434,1,0,0,0,1911,1912,5,104,0,0,1912,1913,5,101,0,0,1913,1914,5,97,0,0, 1914,1915,5,118,0,0,1915,1916,5,105,0,0,1916,1917,5,115,0,0,1917,1918, 5,105,0,0,1918,1919,5,100,0,0,1919,1920,5,101,0,0,1920,1921,5,40,0,0,1921, diff --git a/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.interp b/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.interp index 42abde5c4..70684accf 100644 --- a/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.interp +++ b/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.interp @@ -198,6 +198,7 @@ null 'dot(' 'cross(' 'laplacian(' +'forwarddifference(' 'jacobian(' 'hessian(' 'resultant(' @@ -216,7 +217,6 @@ null 'hurwitzzeta(' 'lambertw(' 'productlog(' -'forwarddifference(' 'heaviside(' 'unitstep(' 'isprime(' @@ -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, 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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] \ No newline at end of file diff --git a/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.tokens b/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.tokens index c48e79814..280a47a99 100644 --- a/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.tokens +++ b/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.tokens @@ -433,25 +433,25 @@ WS=237 'dot('=196 'cross('=197 'laplacian('=198 -'jacobian('=199 -'hessian('=200 -'resultant('=201 -'conjugate('=202 -'conj('=203 -'arg('=204 -'Re('=205 -'Im('=206 -'re('=207 -'real('=208 -'im('=209 -'imag('=210 -'trunc('=211 -'zeta('=212 -'riemannzeta('=213 -'hurwitzzeta('=214 -'lambertw('=215 -'productlog('=216 -'forwarddifference('=217 +'forwarddifference('=199 +'jacobian('=200 +'hessian('=201 +'resultant('=202 +'conjugate('=203 +'conj('=204 +'arg('=205 +'Re('=206 +'Im('=207 +'re('=208 +'real('=209 +'im('=210 +'imag('=211 +'trunc('=212 +'zeta('=213 +'riemannzeta('=214 +'hurwitzzeta('=215 +'lambertw('=216 +'productlog('=217 'heaviside('=218 'unitstep('=219 'isprime('=220 diff --git a/Sources/AngouriMath/Core/Antlr/AngouriMathParser.cs b/Sources/AngouriMath/Core/Antlr/AngouriMathParser.cs index 2325acc20..cc5be1a82 100644 --- a/Sources/AngouriMath/Core/Antlr/AngouriMathParser.cs +++ b/Sources/AngouriMath/Core/Antlr/AngouriMathParser.cs @@ -134,11 +134,11 @@ public const int "'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('", "'forwarddifference('", "'heaviside('", - "'unitstep('", "'isprime('", "'pochhammer('", "'doublefactorial('", "'factorial2('", + "'cross('", "'laplacian('", "'forwarddifference('", "'jacobian('", "'hessian('", + "'resultant('", "'conjugate('", "'conj('", "'arg('", "'Re('", "'Im('", + "'re('", "'real('", "'im('", "'imag('", "'trunc('", "'zeta('", "'riemannzeta('", + "'hurwitzzeta('", "'lambertw('", "'productlog('", "'heaviside('", "'unitstep('", + "'isprime('", "'pochhammer('", "'doublefactorial('", "'factorial2('", "'fractionalpart('", "'quotient('", "'domain('", "'piecewise('", "'apply('", "'lambda('", null, null, null, null, "'NaN'" }; @@ -5402,7 +5402,7 @@ public AtomContext atom() { _localctx.args = function_arguments(); State = 1209; Match(T__32); - Assert("jacobian", 2, _localctx.args.list.Count); _localctx.value = ParsingHelpers.Jacobian(_localctx.args.list[0], _localctx.args.list[1]); + Assert("forwarddifference", 2, _localctx.args.list.Count); _localctx.value = ParsingHelpers.ForwardDifference(_localctx.args.list[0], _localctx.args.list[1]); } break; case 157: @@ -5414,7 +5414,7 @@ public AtomContext atom() { _localctx.args = function_arguments(); State = 1214; Match(T__32); - Assert("hessian", 2, _localctx.args.list.Count); _localctx.value = ParsingHelpers.Hessian(_localctx.args.list[0], _localctx.args.list[1]); + Assert("jacobian", 2, _localctx.args.list.Count); _localctx.value = ParsingHelpers.Jacobian(_localctx.args.list[0], _localctx.args.list[1]); } break; case 158: @@ -5426,7 +5426,7 @@ public AtomContext atom() { _localctx.args = function_arguments(); State = 1219; 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("hessian", 2, _localctx.args.list.Count); _localctx.value = ParsingHelpers.Hessian(_localctx.args.list[0], _localctx.args.list[1]); } break; case 159: @@ -5438,7 +5438,7 @@ public AtomContext atom() { _localctx.args = function_arguments(); State = 1224; Match(T__32); - Assert("conjugate", 1, _localctx.args.list.Count); _localctx.value = MathS.Conjugate(_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 160: @@ -5450,7 +5450,7 @@ public AtomContext atom() { _localctx.args = function_arguments(); State = 1229; Match(T__32); - Assert("conj", 1, _localctx.args.list.Count); _localctx.value = MathS.Conjugate(_localctx.args.list[0]); + Assert("conjugate", 1, _localctx.args.list.Count); _localctx.value = MathS.Conjugate(_localctx.args.list[0]); } break; case 161: @@ -5462,7 +5462,7 @@ public AtomContext atom() { _localctx.args = function_arguments(); State = 1234; Match(T__32); - Assert("arg", 1, _localctx.args.list.Count); _localctx.value = MathS.Arg(_localctx.args.list[0]); + Assert("conj", 1, _localctx.args.list.Count); _localctx.value = MathS.Conjugate(_localctx.args.list[0]); } break; case 162: @@ -5474,7 +5474,7 @@ public AtomContext atom() { _localctx.args = function_arguments(); State = 1239; 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 163: @@ -5486,7 +5486,7 @@ public AtomContext atom() { _localctx.args = function_arguments(); State = 1244; Match(T__32); - Assert("Im", 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 164: @@ -5498,7 +5498,7 @@ public AtomContext atom() { _localctx.args = function_arguments(); State = 1249; Match(T__32); - Assert("re", 1, _localctx.args.list.Count); _localctx.value = MathS.Re(_localctx.args.list[0]); + Assert("Im", 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); - 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 166: @@ -5522,7 +5522,7 @@ public AtomContext atom() { _localctx.args = function_arguments(); State = 1259; Match(T__32); - Assert("im", 1, _localctx.args.list.Count); _localctx.value = MathS.Im(_localctx.args.list[0]); + Assert("real", 1, _localctx.args.list.Count); _localctx.value = MathS.Re(_localctx.args.list[0]); } break; case 167: @@ -5534,7 +5534,7 @@ public AtomContext atom() { _localctx.args = function_arguments(); State = 1264; Match(T__32); - Assert("imag", 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 168: @@ -5546,7 +5546,7 @@ public AtomContext atom() { _localctx.args = function_arguments(); State = 1269; Match(T__32); - _localctx.value = NotImplementedFunction("trunc", "rounding functions"); + Assert("imag", 1, _localctx.args.list.Count); _localctx.value = MathS.Im(_localctx.args.list[0]); } break; case 169: @@ -5558,7 +5558,7 @@ public AtomContext atom() { _localctx.args = function_arguments(); State = 1274; Match(T__32); - _localctx.value = NotImplementedFunction("zeta", "Riemann or Hurwitz zeta function yet"); + _localctx.value = NotImplementedFunction("trunc", "rounding functions"); } break; case 170: @@ -5570,7 +5570,7 @@ public AtomContext atom() { _localctx.args = function_arguments(); State = 1279; Match(T__32); - _localctx.value = NotImplementedFunction("riemannzeta", "Riemann zeta function yet"); + _localctx.value = NotImplementedFunction("zeta", "Riemann or Hurwitz zeta function yet"); } break; case 171: @@ -5582,7 +5582,7 @@ public AtomContext atom() { _localctx.args = function_arguments(); State = 1284; Match(T__32); - _localctx.value = NotImplementedFunction("hurwitzzeta", "Hurwitz zeta function yet"); + _localctx.value = NotImplementedFunction("riemannzeta", "Riemann zeta function yet"); } break; case 172: @@ -5594,7 +5594,7 @@ public AtomContext atom() { _localctx.args = function_arguments(); State = 1289; Match(T__32); - _localctx.value = NotImplementedFunction("lambertw", "Lambert W function yet"); + _localctx.value = NotImplementedFunction("hurwitzzeta", "Hurwitz zeta function yet"); } break; case 173: @@ -5606,7 +5606,7 @@ public AtomContext atom() { _localctx.args = function_arguments(); State = 1294; Match(T__32); - _localctx.value = NotImplementedFunction("productlog", "Lambert W function yet"); + _localctx.value = NotImplementedFunction("lambertw", "Lambert W function yet"); } break; case 174: @@ -5618,7 +5618,7 @@ public AtomContext atom() { _localctx.args = function_arguments(); State = 1299; Match(T__32); - _localctx.value = NotImplementedFunction("forwarddifference", "forward difference yet"); + _localctx.value = NotImplementedFunction("productlog", "Lambert W function yet"); } break; case 175: diff --git a/Sources/AngouriMath/Core/Antlr/ParsingHelpers.cs b/Sources/AngouriMath/Core/Antlr/ParsingHelpers.cs index ffbb471ea..da2af49a7 100644 --- a/Sources/AngouriMath/Core/Antlr/ParsingHelpers.cs +++ b/Sources/AngouriMath/Core/Antlr/ParsingHelpers.cs @@ -197,6 +197,18 @@ internal static Entity Multinomial(List arguments) return MathS.Factorial(sum) / denominator; } + /// + /// forwarddifference(f, k): f(k + 1) - f(k), the forward difference of + /// f in k with a step of 1, as Mathematica's DifferenceDelta[f, k]. It is + /// written so when it is parsed: forwarddifference(k^2, k) is (k + 1)^2 - k^2. + /// https://github.com/asc-community/AngouriMath/issues/2182 + /// + internal static Entity ForwardDifference(Entity function, Entity variable) + => variable is Variable { IsConstant: false } k + ? function.Substitute(k, k + 1) - function + : throw new InvalidArgumentParseException( + $"forwarddifference is taken in a variable, as in forwarddifference(k^2, k), and {variable} is not one"); + /// /// The that a quotient of two integer literals denotes, or /// the node unchanged where it denotes none. diff --git a/Sources/AngouriMath/Docs/Usage/Syntax.md b/Sources/AngouriMath/Docs/Usage/Syntax.md index bd162262b..39e8f63ff 100644 --- a/Sources/AngouriMath/Docs/Usage/Syntax.md +++ b/Sources/AngouriMath/Docs/Usage/Syntax.md @@ -354,6 +354,12 @@ drawn `\operatorname{C}_{n}`. Off the whole numbers it is `4^n Γ(n + 1/2) / ( `catalan` is, so `catalannumber(-1)` is `-1/2`, it is `0` at every whole number below that, and a negative half-integer is a pole ([#2182](https://github.com/asc-community/AngouriMath/issues/2182)). +**Forward difference** — `forwarddifference(f, k)` is `f(k + 1) - f(k)`, Mathematica's +`DifferenceDelta[f, k]`, written so when it is parsed: `forwarddifference(k^2, k)` simplifies to +`1 + 2 * k`, and a sum of them telescopes: `sum(forwarddifference(k^3, k), k, 1, 5)` is `215`, +which is `6^3 - 1`. It is taken in a variable +([#2182](https://github.com/asc-community/AngouriMath/issues/2182)). + **Harmonic numbers** — `harmonicnumber(n)`, `1 + 1/2 + ... + 1/n`, and `harmonicnumber(n, m)`, `1 + 1/2^m + ... + 1/n^m`, drawn `\operatorname{H}_{n}` and `\operatorname{H}_{n}^{(m)}`: `harmonicnumber(4)` is `25/12`. Off the whole numbers they are `ζ(m) - ζ(m, n + 1)`, as Mathematica's @@ -532,8 +538,7 @@ 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` -`forwarddifference`. Each is what some other +`hurwitzzeta` `lambertw` `productlog`. 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/MCP/AngouriMath.Mcp/Resources.cs b/Sources/MCP/AngouriMath.Mcp/Resources.cs index f98838188..f0d1b5bf5 100644 --- a/Sources/MCP/AngouriMath.Mcp/Resources.cs +++ b/Sources/MCP/AngouriMath.Mcp/Resources.cs @@ -112,6 +112,7 @@ apply lambda` a vector written out, `[1, 2]` being a column and `[[1, 2], [3, 4]]` a matrix: `det(A)` of a symbol is refused. `cross(a, b)` is the vector product in space and `cross([x, y])` is `[-y, x]`; `resultant(p, q, x)` eliminates `x` + - `forwarddifference(f, k)`, which is `f(k + 1) - f(k)` once parsed - `laplacian(f, [x, y])`, `jacobian(F, [x, y])` and `hessian(f, [x, y])`, made of `derivative` nodes when parsed; the variables are a vector, or one name diff --git a/Sources/Tests/AotSmokeTest/Program.cs b/Sources/Tests/AotSmokeTest/Program.cs index ebed4dc62..928e79c96 100644 --- a/Sources/Tests/AotSmokeTest/Program.cs +++ b/Sources/Tests/AotSmokeTest/Program.cs @@ -142,6 +142,8 @@ private static void Parsing() CheckClose("catalannumber at x = 5", At(catalan, "x", 5), 42); var harmonic = MathS.FromString("harmonicnumber(x, 2)"); CheckClose("harmonicnumber(x, 2) at x = 4", At(harmonic, "x", 4), 205.0 / 144); + var difference = MathS.FromString("forwarddifference(x^3, x)"); + CheckClose("forwarddifference(x^3, x) at x = 2", At(difference, "x", 2), 27 - 8); } private static void Simplification() diff --git a/Sources/Tests/UnitTests/Convenience/ForwardDifferenceTest.cs b/Sources/Tests/UnitTests/Convenience/ForwardDifferenceTest.cs new file mode 100644 index 000000000..ae87f1017 --- /dev/null +++ b/Sources/Tests/UnitTests/Convenience/ForwardDifferenceTest.cs @@ -0,0 +1,57 @@ +// +// 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.Core.Exceptions; +using AngouriMath.Extensions; +using Xunit; +using static AngouriMath.Entity; + +namespace AngouriMath.Tests.Convenience +{ + /// + /// forwarddifference(f, k) is f(k + 1) - f(k), as Mathematica's + /// DifferenceDelta[f, k]. The name was refused. + /// #2182 + /// + [Trait("Area", "Convenience")] + public sealed class ForwardDifferenceTest + { + [Theory] + [InlineData("forwarddifference(k^2, k)", "2 k + 1")] + [InlineData("forwarddifference(2^k, k)", "2^k")] + [InlineData("forwarddifference(a k + b, k)", "a")] + [InlineData("forwarddifference(x, k)", "0")] + public void ItIsTheValueAtTheNextIntegerLessTheValue(string written, string expected) + => Assert.Equal(Number.Integer.Zero, (written.ToEntity() - expected.ToEntity()).Simplify()); + + /// + /// The difference of a factorial is k k!, checked by its value: Simplify brings + /// (k + 1)! - (k + 1) k! to 0, but not (k + 1)! - k! - k k!. + /// + [Fact] + public void TheDifferenceOfAFactorialIsKTimesIt() + => Assert.Equal(Number.Integer.Create(600), "forwarddifference(k!, k)".ToEntity().Substitute("k", 5).Evaled); + + /// A sum of forward differences telescopes: the sum over 1..5 of (k + 1)^3 - k^3 is 6^3 - 1. + [Fact] + public void ASumOfDifferencesTelescopes() + => Assert.Equal(Number.Integer.Create(215), "sum(forwarddifference(k^3, k), k, 1, 5)".ToEntity().Evaled); + + /// The derivative of a difference is the difference of the derivative, which needs the derivative at k + 1. + [Fact] + public void ItReachesADerivative() + => Assert.Equal(Number.Integer.Zero, + ("forwarddifference(derivative(k^3, k), k)".ToEntity() - "6 k + 3".ToEntity()).Simplify()); + + [Theory] + [InlineData("forwarddifference(k^2, 2)")] + [InlineData("forwarddifference(k^2, pi)")] + public void ItIsTakenInAVariable(string written) + => Assert.Throws(() => written.ToEntity()); + } +} diff --git a/Sources/Tests/UnitTests/Convenience/MissingFunctionNamesRefusedTest.cs b/Sources/Tests/UnitTests/Convenience/MissingFunctionNamesRefusedTest.cs index b6038ebb3..b9558cd56 100644 --- a/Sources/Tests/UnitTests/Convenience/MissingFunctionNamesRefusedTest.cs +++ b/Sources/Tests/UnitTests/Convenience/MissingFunctionNamesRefusedTest.cs @@ -37,8 +37,9 @@ public sealed class MissingFunctionNamesRefusedTest // 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, laplacian, jacobian and hessian, - // fallingfactorial, factorialpower and risingfactorial, multinomial, catalannumber and - // harmonicnumber were among them until they were implemented, in the same issue. + // fallingfactorial, factorialpower and risingfactorial, multinomial, catalannumber, + // harmonicnumber and forwarddifference were among them until they were implemented, in the + // same issue. [Theory] [InlineData("trunc(x)")] [InlineData("zeta(s)")] @@ -47,7 +48,6 @@ public sealed class MissingFunctionNamesRefusedTest [InlineData("hurwitzzeta(s, a)")] [InlineData("lambertw(x)")] [InlineData("productlog(x)")] - [InlineData("forwarddifference(f, k)")] [InlineData("heaviside(x)")] [InlineData("unitstep(x)")] [InlineData("isprime(n)")]