diff --git a/BREAKING-CHANGES.md b/BREAKING-CHANGES.md
index 666a34afa..7673dc749 100644
--- a/BREAKING-CHANGES.md
+++ b/BREAKING-CHANGES.md
@@ -286,6 +286,20 @@ the expression's own domain as its condition ([#2142](https://github.com/asc-com
| `"(1 - cos(a))/(1 + cos(a))/tan(a/2)^2".Simplify()` | `(1 - cos(a)) / ((cos(a) + 1) * tan(a / 2) ^ 2)` | `1 provided not cos(a) + 1 = 0 and not tan(a / 2) = 0 and not cos(a / 2) = 0` |
| `"(cos(2*x) - 1)^2 + sin(2*x)^2 - 4*sin(x)^2".Simplify()` ([#2133](https://github.com/asc-community/AngouriMath/issues/2133)) | `2 + (-2) * cos(2 * x) + (-4) * sin(x) ^ 2` | `0` |
+### `re` and `im` are the real and the imaginary part
+
+**Not silent: `re(…)` and `im(…)`, and `real(…)` and `imag(…)`, are now the real and the imaginary part, where they were
+read as products, and they print as `Re(…)` and `Im(…)`, as Mathematica, Maple and ISO 80000-2 write them.** `re(z)` was the variable `re` times `z`. They were left as products while the library had neither
+function, since two letters is short enough to be somebody's variable; the name without a bracket is still a variable.
+Both are real, `im(3 + 4i)` being `4`, real-linear, and turned by the conjugate as they should be
+([#2145](https://github.com/asc-community/AngouriMath/issues/2145)).
+
+| Input | Was (2.6.0) | Now |
+|---|---|---|
+| `"re(z)".ToEntity()` | `re * z` | `Re(z)` |
+| `"im(3 + 4i)".ToEntity().Simplify()` | `(3 + 4i) * im` | `4` |
+| `"re * x".ToEntity()` | `re * x` | `re * x` |
+
### `conjugate`, `conj` and `arg` are functions
**Not silent: these names followed by a bracket are now the complex conjugate and the principal argument, where they
diff --git a/Sources/.editorconfig b/Sources/.editorconfig
index c7ede9965..33880068f 100644
--- a/Sources/.editorconfig
+++ b/Sources/.editorconfig
@@ -243,6 +243,9 @@ file_header_template=\nCopyright (c) 2019-2026 Angouri.\nAngouriMath is licensed
[Tests/UnitTests/Algebra/SolveTest/FractionalPowerRangeTest.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/RealAndImaginaryPartTest.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/IversonTest.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 4ebb2b5d4..d6dec5bce 100644
--- a/Sources/AngouriMath/Convenience/MathS.cs
+++ b/Sources/AngouriMath/Convenience/MathS.cs
@@ -1442,6 +1442,48 @@ public static Entity VectorLength(Matrix v)
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public static Entity Arg(Entity z) => new Argf(z);
+ /// The real part re(z): a for z = a + b i
+ /// The argument, any complex number
+ /// The node
+ /// https://github.com/asc-community/AngouriMath/issues/2145
+ ///
+ ///
+ /// using System;
+ /// using static AngouriMath.MathS;
+ ///
+ /// Console.WriteLine(Re("3 + 4i").Simplify());
+ /// Console.WriteLine(Re("a + conj(b)").Simplify());
+ ///
+ /// Prints
+ ///
+ /// 3
+ /// Re(a) + Re(b)
+ ///
+ ///
+ [MethodImpl(MethodImplOptions.AggressiveInlining)]
+ public static Entity Re(Entity z) => new Ref(z);
+
+ /// The imaginary part im(z): the real number b for z = a + b i
+ /// The argument, any complex number
+ /// The node
+ /// https://github.com/asc-community/AngouriMath/issues/2145
+ ///
+ ///
+ /// using System;
+ /// using static AngouriMath.MathS;
+ ///
+ /// Console.WriteLine(Im("3 + 4i").Simplify());
+ /// Console.WriteLine(Im("conj(z)").Simplify());
+ ///
+ /// Prints
+ ///
+ /// 4
+ /// -Im(z)
+ ///
+ ///
+ [MethodImpl(MethodImplOptions.AggressiveInlining)]
+ public static Entity Im(Entity z) => new Imf(z);
+
/// The aleph number aleph(k), the size of an infinite set
/// The index, a whole number from zero
/// The node
diff --git a/Sources/AngouriMath/Core/Antlr/AngouriMath.g b/Sources/AngouriMath/Core/Antlr/AngouriMath.g
index c85044706..09392dc11 100644
--- a/Sources/AngouriMath/Core/Antlr/AngouriMath.g
+++ b/Sources/AngouriMath/Core/Antlr/AngouriMath.g
@@ -641,6 +641,16 @@ atom returns[Entity value]
| 'conj(' args = function_arguments ')' { Assert("conj", 1, $args.list.Count); $value = MathS.Conjugate($args.list[0]); }
/* The principal argument, in (-pi, pi]. https://github.com/asc-community/AngouriMath/issues/2145 */
| 'arg(' args = function_arguments ')' { Assert("arg", 1, $args.list.Count); $value = MathS.Arg($args.list[0]); }
+ /* The real and the imaginary part, written Re and Im as Mathematica, Maple and ISO 80000-2
+ write them, and accepted as SymPy's re and im and as MATLAB's real and imag. re and im were
+ read as products, re(z) being re * z, while there was nothing for them to mean.
+ https://github.com/asc-community/AngouriMath/issues/2145 */
+ | 'Re(' args = function_arguments ')' { Assert("Re", 1, $args.list.Count); $value = MathS.Re($args.list[0]); }
+ | 'Im(' args = function_arguments ')' { Assert("Im", 1, $args.list.Count); $value = MathS.Im($args.list[0]); }
+ | 're(' args = function_arguments ')' { Assert("re", 1, $args.list.Count); $value = MathS.Re($args.list[0]); }
+ | 'real(' args = function_arguments ')' { Assert("real", 1, $args.list.Count); $value = MathS.Re($args.list[0]); }
+ | 'im(' args = function_arguments ')' { Assert("im", 1, $args.list.Count); $value = MathS.Im($args.list[0]); }
+ | 'imag(' args = function_arguments ')' { Assert("imag", 1, $args.list.Count); $value = MathS.Im($args.list[0]); }
/* Names the library does not have. Each is a function every other CAS spells this way, so
a caller reaches for it, and without these rules each is silently read as a product --
diff --git a/Sources/AngouriMath/Core/Antlr/AngouriMath.interp b/Sources/AngouriMath/Core/Antlr/AngouriMath.interp
index 84be6de8d..e820fc8b1 100644
--- a/Sources/AngouriMath/Core/Antlr/AngouriMath.interp
+++ b/Sources/AngouriMath/Core/Antlr/AngouriMath.interp
@@ -187,6 +187,12 @@ null
'conjugate('
'conj('
'arg('
+'Re('
+'Im('
+'re('
+'real('
+'im('
+'imag('
'trunc('
'domain('
'piecewise('
@@ -395,6 +401,12 @@ null
null
null
null
+null
+null
+null
+null
+null
+null
NEWLINE
NUMBER
SPECIALSET
@@ -434,4 +446,4 @@ statement
atn:
-[4, 1, 200, 1186, 2, 0, 7, 0, 2, 1, 7, 1, 2, 2, 7, 2, 2, 3, 7, 3, 2, 4, 7, 4, 2, 5, 7, 5, 2, 6, 7, 6, 2, 7, 7, 7, 2, 8, 7, 8, 2, 9, 7, 9, 2, 10, 7, 10, 2, 11, 7, 11, 2, 12, 7, 12, 2, 13, 7, 13, 2, 14, 7, 14, 2, 15, 7, 15, 2, 16, 7, 16, 2, 17, 7, 17, 2, 18, 7, 18, 2, 19, 7, 19, 2, 20, 7, 20, 2, 21, 7, 21, 2, 22, 7, 22, 2, 23, 7, 23, 2, 24, 7, 24, 2, 25, 7, 25, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 3, 0, 60, 8, 0, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 66, 8, 1, 11, 1, 12, 1, 67, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 74, 8, 1, 11, 1, 12, 1, 75, 3, 1, 78, 8, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 3, 2, 85, 8, 2, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 3, 3, 95, 8, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 3, 3, 105, 8, 3, 1, 3, 1, 3, 1, 3, 3, 3, 110, 8, 3, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 3, 4, 120, 8, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 5, 4, 130, 8, 4, 10, 4, 12, 4, 133, 9, 4, 1, 4, 1, 4, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 1, 5, 3, 5, 145, 8, 5, 1, 5, 1, 5, 1, 5, 1, 5, 5, 5, 151, 8, 5, 10, 5, 12, 5, 154, 9, 5, 1, 5, 1, 5, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 1, 6, 5, 6, 168, 8, 6, 10, 6, 12, 6, 171, 9, 6, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 5, 7, 191, 8, 7, 10, 7, 12, 7, 194, 9, 7, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 5, 8, 226, 8, 8, 10, 8, 12, 8, 229, 9, 8, 1, 9, 1, 9, 1, 9, 1, 9, 1, 9, 1, 9, 1, 9, 1, 9, 1, 9, 1, 9, 1, 9, 1, 9, 1, 9, 1, 9, 1, 9, 1, 9, 3, 9, 247, 8, 9, 1, 9, 1, 9, 1, 9, 5, 9, 252, 8, 9, 10, 9, 12, 9, 255, 9, 9, 1, 9, 1, 9, 1, 9, 1, 9, 1, 9, 1, 9, 3, 9, 263, 8, 9, 1, 9, 1, 9, 1, 10, 1, 10, 1, 10, 1, 10, 1, 10, 1, 10, 1, 10, 1, 10, 1, 10, 1, 10, 1, 10, 1, 10, 1, 10, 1, 10, 1, 10, 3, 10, 282, 8, 10, 1, 11, 1, 11, 1, 11, 1, 11, 1, 11, 1, 11, 1, 11, 1, 11, 1, 11, 1, 11, 1, 11, 1, 11, 1, 11, 1, 11, 5, 11, 298, 8, 11, 10, 11, 12, 11, 301, 9, 11, 1, 12, 1, 12, 1, 12, 1, 12, 1, 12, 1, 12, 1, 12, 1, 12, 1, 12, 1, 12, 5, 12, 313, 8, 12, 10, 12, 12, 12, 316, 9, 12, 1, 13, 1, 13, 1, 13, 1, 13, 1, 13, 1, 13, 1, 13, 1, 13, 1, 13, 1, 13, 5, 13, 328, 8, 13, 10, 13, 12, 13, 331, 9, 13, 1, 14, 1, 14, 1, 14, 1, 14, 1, 14, 1, 14, 1, 14, 1, 14, 1, 14, 1, 14, 1, 14, 1, 14, 1, 14, 1, 14, 5, 14, 347, 8, 14, 10, 14, 12, 14, 350, 9, 14, 1, 15, 1, 15, 1, 15, 1, 15, 1, 15, 1, 15, 3, 15, 358, 8, 15, 1, 16, 1, 16, 1, 16, 1, 16, 1, 16, 1, 16, 3, 16, 366, 8, 16, 1, 16, 1, 16, 1, 16, 3, 16, 371, 8, 16, 1, 17, 1, 17, 1, 17, 1, 17, 1, 17, 1, 17, 1, 18, 1, 18, 1, 18, 1, 18, 1, 18, 1, 18, 3, 18, 385, 8, 18, 1, 19, 1, 19, 1, 19, 1, 19, 1, 19, 1, 19, 5, 19, 393, 8, 19, 10, 19, 12, 19, 396, 9, 19, 1, 19, 1, 19, 1, 20, 1, 20, 1, 20, 1, 20, 1, 20, 1, 20, 5, 20, 406, 8, 20, 10, 20, 12, 20, 409, 9, 20, 3, 20, 411, 8, 20, 1, 21, 1, 21, 1, 21, 1, 21, 1, 21, 3, 21, 418, 8, 21, 1, 21, 1, 21, 1, 21, 1, 21, 1, 21, 1, 21, 3, 21, 426, 8, 21, 5, 21, 428, 8, 21, 10, 21, 12, 21, 431, 9, 21, 3, 21, 433, 8, 21, 1, 22, 1, 22, 1, 22, 1, 22, 1, 22, 1, 22, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 23, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 1, 24, 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894, 1, 0, 0, 0, 1209, 899, 1, 0, 0, 0, 1209, 904, 1, 0, 0, 0, 1209, 909, 1, 0, 0, 0, 1209, 914, 1, 0, 0, 0, 1209, 919, 1, 0, 0, 0, 1209, 924, 1, 0, 0, 0, 1209, 929, 1, 0, 0, 0, 1209, 934, 1, 0, 0, 0, 1209, 939, 1, 0, 0, 0, 1209, 944, 1, 0, 0, 0, 1209, 949, 1, 0, 0, 0, 1209, 954, 1, 0, 0, 0, 1209, 959, 1, 0, 0, 0, 1209, 964, 1, 0, 0, 0, 1209, 969, 1, 0, 0, 0, 1209, 974, 1, 0, 0, 0, 1209, 979, 1, 0, 0, 0, 1209, 984, 1, 0, 0, 0, 1209, 989, 1, 0, 0, 0, 1209, 994, 1, 0, 0, 0, 1209, 999, 1, 0, 0, 0, 1209, 1004, 1, 0, 0, 0, 1209, 1009, 1, 0, 0, 0, 1209, 1014, 1, 0, 0, 0, 1209, 1019, 1, 0, 0, 0, 1209, 1024, 1, 0, 0, 0, 1209, 1029, 1, 0, 0, 0, 1209, 1034, 1, 0, 0, 0, 1209, 1039, 1, 0, 0, 0, 1209, 1044, 1, 0, 0, 0, 1209, 1049, 1, 0, 0, 0, 1209, 1054, 1, 0, 0, 0, 1209, 1059, 1, 0, 0, 0, 1209, 1064, 1, 0, 0, 0, 1209, 1069, 1, 0, 0, 0, 1209, 1074, 1, 0, 0, 0, 1209, 1079, 1, 0, 0, 0, 1209, 1084, 1, 0, 0, 0, 1209, 1089, 1, 0, 0, 0, 1209, 1094, 1, 0, 0, 0, 1209, 1099, 1, 0, 0, 0, 1209, 1104, 1, 0, 0, 0, 1209, 1109, 1, 0, 0, 0, 1209, 1114, 1, 0, 0, 0, 1209, 1119, 1, 0, 0, 0, 1209, 1124, 1, 0, 0, 0, 1209, 1129, 1, 0, 0, 0, 1209, 1134, 1, 0, 0, 0, 1209, 1139, 1, 0, 0, 0, 1209, 1144, 1, 0, 0, 0, 1209, 1149, 1, 0, 0, 0, 1209, 1154, 1, 0, 0, 0, 1209, 1159, 1, 0, 0, 0, 1209, 1164, 1, 0, 0, 0, 1209, 1169, 1, 0, 0, 0, 1209, 1174, 1, 0, 0, 0, 1209, 1179, 1, 0, 0, 0, 1209, 1184, 1, 0, 0, 0, 1209, 1189, 1, 0, 0, 0, 1209, 1194, 1, 0, 0, 0, 1209, 1199, 1, 0, 0, 0, 1209, 1204, 1, 0, 0, 0, 1210, 49, 1, 0, 0, 0, 1211, 1212, 3, 32, 16, 0, 1212, 1213, 5, 0, 0, 1, 1213, 1214, 6, 25, -1, 0, 1214, 51, 1, 0, 0, 0, 44, 59, 67, 75, 77, 84, 94, 104, 109, 119, 129, 131, 144, 150, 152, 167, 169, 190, 192, 225, 227, 246, 253, 262, 281, 297, 299, 312, 314, 327, 329, 346, 348, 357, 365, 370, 384, 394, 407, 410, 417, 425, 429, 432, 1209]
\ No newline at end of file
diff --git a/Sources/AngouriMath/Core/Antlr/AngouriMath.tokens b/Sources/AngouriMath/Core/Antlr/AngouriMath.tokens
index 4f32df58d..93e126363 100644
--- a/Sources/AngouriMath/Core/Antlr/AngouriMath.tokens
+++ b/Sources/AngouriMath/Core/Antlr/AngouriMath.tokens
@@ -190,14 +190,20 @@ T__188=189
T__189=190
T__190=191
T__191=192
-NEWLINE=193
-NUMBER=194
-SPECIALSET=195
-BOOLEAN=196
-NAN=197
-VARIABLE=198
-COMMENT=199
-WS=200
+T__192=193
+T__193=194
+T__194=195
+T__195=196
+T__196=197
+T__197=198
+NEWLINE=199
+NUMBER=200
+SPECIALSET=201
+BOOLEAN=202
+NAN=203
+VARIABLE=204
+COMMENT=205
+WS=206
'!'=1
'^'=2
'-'=3
@@ -385,9 +391,15 @@ WS=200
'conjugate('=185
'conj('=186
'arg('=187
-'trunc('=188
-'domain('=189
-'piecewise('=190
-'apply('=191
-'lambda('=192
-'NaN'=197
+'Re('=188
+'Im('=189
+'re('=190
+'real('=191
+'im('=192
+'imag('=193
+'trunc('=194
+'domain('=195
+'piecewise('=196
+'apply('=197
+'lambda('=198
+'NaN'=203
diff --git a/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.cs b/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.cs
index 978fd5c93..9d0c22b2b 100644
--- a/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.cs
+++ b/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.cs
@@ -63,8 +63,9 @@ public const int
T__173=174, T__174=175, T__175=176, T__176=177, T__177=178, T__178=179,
T__179=180, T__180=181, T__181=182, T__182=183, T__183=184, T__184=185,
T__185=186, T__186=187, T__187=188, T__188=189, T__189=190, T__190=191,
- T__191=192, NEWLINE=193, NUMBER=194, SPECIALSET=195, BOOLEAN=196, NAN=197,
- VARIABLE=198, COMMENT=199, WS=200;
+ T__191=192, T__192=193, T__193=194, T__194=195, T__195=196, T__196=197,
+ T__197=198, NEWLINE=199, NUMBER=200, SPECIALSET=201, BOOLEAN=202, NAN=203,
+ VARIABLE=204, COMMENT=205, WS=206;
public static string[] channelNames = {
"DEFAULT_TOKEN_CHANNEL", "HIDDEN"
};
@@ -99,8 +100,9 @@ public const int
"T__168", "T__169", "T__170", "T__171", "T__172", "T__173", "T__174",
"T__175", "T__176", "T__177", "T__178", "T__179", "T__180", "T__181",
"T__182", "T__183", "T__184", "T__185", "T__186", "T__187", "T__188",
- "T__189", "T__190", "T__191", "NEWLINE", "EXPONENT", "NUMBER", "SPECIALSET",
- "BOOLEAN", "NAN", "VARIABLE", "COMMENT", "WS"
+ "T__189", "T__190", "T__191", "T__192", "T__193", "T__194", "T__195",
+ "T__196", "T__197", "NEWLINE", "EXPONENT", "NUMBER", "SPECIALSET", "BOOLEAN",
+ "NAN", "VARIABLE", "COMMENT", "WS"
};
@@ -149,8 +151,9 @@ public AngouriMathLexer(ICharStream input, TextWriter output, TextWriter errorOu
"'iverson('", "'aleph('", "'erf('", "'erfc('", "'erfi('", "'Ei('", "'li('",
"'polygamma('", "'digamma('", "'Si('", "'Ci('", "'Shi('", "'Chi('", "'det('",
"'transpose('", "'dot('", "'cross('", "'resultant('", "'conjugate('",
- "'conj('", "'arg('", "'trunc('", "'domain('", "'piecewise('", "'apply('",
- "'lambda('", null, null, null, null, "'NaN'"
+ "'conj('", "'arg('", "'Re('", "'Im('", "'re('", "'real('", "'im('", "'imag('",
+ "'trunc('", "'domain('", "'piecewise('", "'apply('", "'lambda('", null,
+ null, null, null, "'NaN'"
};
private static readonly string[] _SymbolicNames = {
null, null, null, null, null, null, null, null, null, null, null, null,
@@ -169,8 +172,8 @@ public AngouriMathLexer(ICharStream input, TextWriter output, TextWriter errorOu
null, null, null, null, null, null, null, null, null, null, null, null,
null, null, null, null, null, null, null, null, null, null, null, null,
null, null, null, null, null, null, null, null, null, null, null, null,
- null, "NEWLINE", "NUMBER", "SPECIALSET", "BOOLEAN", "NAN", "VARIABLE",
- "COMMENT", "WS"
+ null, null, null, null, null, null, null, "NEWLINE", "NUMBER", "SPECIALSET",
+ "BOOLEAN", "NAN", "VARIABLE", "COMMENT", "WS"
};
public static readonly IVocabulary DefaultVocabulary = new Vocabulary(_LiteralNames, _SymbolicNames);
@@ -200,7 +203,7 @@ static AngouriMathLexer() {
}
}
private static int[] _serializedATN = {
- 4,0,200,1726,6,-1,2,0,7,0,2,1,7,1,2,2,7,2,2,3,7,3,2,4,7,4,2,5,7,5,2,6,
+ 4,0,206,1766,6,-1,2,0,7,0,2,1,7,1,2,2,7,2,2,3,7,3,2,4,7,4,2,5,7,5,2,6,
7,6,2,7,7,7,2,8,7,8,2,9,7,9,2,10,7,10,2,11,7,11,2,12,7,12,2,13,7,13,2,
14,7,14,2,15,7,15,2,16,7,16,2,17,7,17,2,18,7,18,2,19,7,19,2,20,7,20,2,
21,7,21,2,22,7,22,2,23,7,23,2,24,7,24,2,25,7,25,2,26,7,26,2,27,7,27,2,
@@ -231,7 +234,8 @@ static AngouriMathLexer() {
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,
- 7,200,1,0,1,0,1,1,1,1,1,2,1,2,1,3,1,3,1,4,1,4,1,5,1,5,1,5,1,5,1,6,1,6,
+ 7,200,2,201,7,201,2,202,7,202,2,203,7,203,2,204,7,204,2,205,7,205,2,206,
+ 7,206,1,0,1,0,1,1,1,1,1,2,1,2,1,3,1,3,1,4,1,4,1,5,1,5,1,5,1,5,1,6,1,6,
1,7,1,7,1,8,1,8,1,8,1,8,1,9,1,9,1,9,1,9,1,9,1,9,1,9,1,9,1,9,1,9,1,10,1,
10,1,10,1,11,1,11,1,11,1,11,1,11,1,11,1,12,1,12,1,12,1,13,1,13,1,13,1,
13,1,13,1,13,1,13,1,13,1,13,1,13,1,13,1,13,1,14,1,14,1,15,1,15,1,15,1,
@@ -319,48 +323,51 @@ static AngouriMathLexer() {
1,182,1,182,1,182,1,182,1,182,1,182,1,183,1,183,1,183,1,183,1,183,1,183,
1,183,1,183,1,183,1,183,1,183,1,184,1,184,1,184,1,184,1,184,1,184,1,184,
1,184,1,184,1,184,1,184,1,185,1,185,1,185,1,185,1,185,1,185,1,186,1,186,
- 1,186,1,186,1,186,1,187,1,187,1,187,1,187,1,187,1,187,1,187,1,188,1,188,
- 1,188,1,188,1,188,1,188,1,188,1,188,1,189,1,189,1,189,1,189,1,189,1,189,
- 1,189,1,189,1,189,1,189,1,189,1,190,1,190,1,190,1,190,1,190,1,190,1,190,
- 1,191,1,191,1,191,1,191,1,191,1,191,1,191,1,191,1,192,3,192,1577,8,192,
- 1,192,4,192,1580,8,192,11,192,12,192,1581,1,192,1,192,1,193,1,193,3,193,
- 1588,8,193,1,193,4,193,1591,8,193,11,193,12,193,1592,1,194,4,194,1596,
- 8,194,11,194,12,194,1597,1,194,1,194,5,194,1602,8,194,10,194,12,194,1605,
- 9,194,1,194,3,194,1608,8,194,1,194,3,194,1611,8,194,1,194,3,194,1614,8,
- 194,1,194,4,194,1617,8,194,11,194,12,194,1618,1,194,3,194,1622,8,194,1,
- 194,3,194,1625,8,194,1,194,3,194,1628,8,194,1,195,1,195,1,195,1,195,1,
- 195,1,195,1,195,1,195,1,195,1,195,1,195,1,195,1,195,1,195,1,195,1,195,
- 1,195,1,195,3,195,1648,8,195,1,196,1,196,1,196,1,196,1,196,1,196,1,196,
- 1,196,1,196,1,196,1,196,1,196,1,196,1,196,1,196,1,196,1,196,1,196,3,196,
- 1668,8,196,1,197,1,197,1,197,1,197,1,198,4,198,1675,8,198,11,198,12,198,
- 1676,1,198,1,198,4,198,1681,8,198,11,198,12,198,1682,5,198,1685,8,198,
- 10,198,12,198,1688,9,198,1,199,1,199,1,199,1,199,5,199,1694,8,199,10,199,
- 12,199,1697,9,199,1,199,3,199,1700,8,199,1,199,3,199,1703,8,199,1,199,
- 1,199,1,199,1,199,5,199,1709,8,199,10,199,12,199,1712,9,199,1,199,1,199,
- 3,199,1716,8,199,1,199,1,199,1,200,4,200,1721,8,200,11,200,12,200,1722,
- 1,200,1,200,1,1710,0,201,1,1,3,2,5,3,7,4,9,5,11,6,13,7,15,8,17,9,19,10,
- 21,11,23,12,25,13,27,14,29,15,31,16,33,17,35,18,37,19,39,20,41,21,43,22,
- 45,23,47,24,49,25,51,26,53,27,55,28,57,29,59,30,61,31,63,32,65,33,67,34,
- 69,35,71,36,73,37,75,38,77,39,79,40,81,41,83,42,85,43,87,44,89,45,91,46,
- 93,47,95,48,97,49,99,50,101,51,103,52,105,53,107,54,109,55,111,56,113,
- 57,115,58,117,59,119,60,121,61,123,62,125,63,127,64,129,65,131,66,133,
- 67,135,68,137,69,139,70,141,71,143,72,145,73,147,74,149,75,151,76,153,
- 77,155,78,157,79,159,80,161,81,163,82,165,83,167,84,169,85,171,86,173,
- 87,175,88,177,89,179,90,181,91,183,92,185,93,187,94,189,95,191,96,193,
- 97,195,98,197,99,199,100,201,101,203,102,205,103,207,104,209,105,211,106,
- 213,107,215,108,217,109,219,110,221,111,223,112,225,113,227,114,229,115,
- 231,116,233,117,235,118,237,119,239,120,241,121,243,122,245,123,247,124,
- 249,125,251,126,253,127,255,128,257,129,259,130,261,131,263,132,265,133,
- 267,134,269,135,271,136,273,137,275,138,277,139,279,140,281,141,283,142,
- 285,143,287,144,289,145,291,146,293,147,295,148,297,149,299,150,301,151,
- 303,152,305,153,307,154,309,155,311,156,313,157,315,158,317,159,319,160,
- 321,161,323,162,325,163,327,164,329,165,331,166,333,167,335,168,337,169,
- 339,170,341,171,343,172,345,173,347,174,349,175,351,176,353,177,355,178,
- 357,179,359,180,361,181,363,182,365,183,367,184,369,185,371,186,373,187,
- 375,188,377,189,379,190,381,191,383,192,385,193,387,0,389,194,391,195,
- 393,196,395,197,397,198,399,199,401,200,1,0,6,2,0,69,69,101,101,2,0,43,
+ 1,186,1,186,1,186,1,187,1,187,1,187,1,187,1,188,1,188,1,188,1,188,1,189,
+ 1,189,1,189,1,189,1,190,1,190,1,190,1,190,1,190,1,190,1,191,1,191,1,191,
+ 1,191,1,192,1,192,1,192,1,192,1,192,1,192,1,193,1,193,1,193,1,193,1,193,
+ 1,193,1,193,1,194,1,194,1,194,1,194,1,194,1,194,1,194,1,194,1,195,1,195,
+ 1,195,1,195,1,195,1,195,1,195,1,195,1,195,1,195,1,195,1,196,1,196,1,196,
+ 1,196,1,196,1,196,1,196,1,197,1,197,1,197,1,197,1,197,1,197,1,197,1,197,
+ 1,198,3,198,1617,8,198,1,198,4,198,1620,8,198,11,198,12,198,1621,1,198,
+ 1,198,1,199,1,199,3,199,1628,8,199,1,199,4,199,1631,8,199,11,199,12,199,
+ 1632,1,200,4,200,1636,8,200,11,200,12,200,1637,1,200,1,200,5,200,1642,
+ 8,200,10,200,12,200,1645,9,200,1,200,3,200,1648,8,200,1,200,3,200,1651,
+ 8,200,1,200,3,200,1654,8,200,1,200,4,200,1657,8,200,11,200,12,200,1658,
+ 1,200,3,200,1662,8,200,1,200,3,200,1665,8,200,1,200,3,200,1668,8,200,1,
+ 201,1,201,1,201,1,201,1,201,1,201,1,201,1,201,1,201,1,201,1,201,1,201,
+ 1,201,1,201,1,201,1,201,1,201,1,201,3,201,1688,8,201,1,202,1,202,1,202,
+ 1,202,1,202,1,202,1,202,1,202,1,202,1,202,1,202,1,202,1,202,1,202,1,202,
+ 1,202,1,202,1,202,3,202,1708,8,202,1,203,1,203,1,203,1,203,1,204,4,204,
+ 1715,8,204,11,204,12,204,1716,1,204,1,204,4,204,1721,8,204,11,204,12,204,
+ 1722,5,204,1725,8,204,10,204,12,204,1728,9,204,1,205,1,205,1,205,1,205,
+ 5,205,1734,8,205,10,205,12,205,1737,9,205,1,205,3,205,1740,8,205,1,205,
+ 3,205,1743,8,205,1,205,1,205,1,205,1,205,5,205,1749,8,205,10,205,12,205,
+ 1752,9,205,1,205,1,205,3,205,1756,8,205,1,205,1,205,1,206,4,206,1761,8,
+ 206,11,206,12,206,1762,1,206,1,206,1,1750,0,207,1,1,3,2,5,3,7,4,9,5,11,
+ 6,13,7,15,8,17,9,19,10,21,11,23,12,25,13,27,14,29,15,31,16,33,17,35,18,
+ 37,19,39,20,41,21,43,22,45,23,47,24,49,25,51,26,53,27,55,28,57,29,59,30,
+ 61,31,63,32,65,33,67,34,69,35,71,36,73,37,75,38,77,39,79,40,81,41,83,42,
+ 85,43,87,44,89,45,91,46,93,47,95,48,97,49,99,50,101,51,103,52,105,53,107,
+ 54,109,55,111,56,113,57,115,58,117,59,119,60,121,61,123,62,125,63,127,
+ 64,129,65,131,66,133,67,135,68,137,69,139,70,141,71,143,72,145,73,147,
+ 74,149,75,151,76,153,77,155,78,157,79,159,80,161,81,163,82,165,83,167,
+ 84,169,85,171,86,173,87,175,88,177,89,179,90,181,91,183,92,185,93,187,
+ 94,189,95,191,96,193,97,195,98,197,99,199,100,201,101,203,102,205,103,
+ 207,104,209,105,211,106,213,107,215,108,217,109,219,110,221,111,223,112,
+ 225,113,227,114,229,115,231,116,233,117,235,118,237,119,239,120,241,121,
+ 243,122,245,123,247,124,249,125,251,126,253,127,255,128,257,129,259,130,
+ 261,131,263,132,265,133,267,134,269,135,271,136,273,137,275,138,277,139,
+ 279,140,281,141,283,142,285,143,287,144,289,145,291,146,293,147,295,148,
+ 297,149,299,150,301,151,303,152,305,153,307,154,309,155,311,156,313,157,
+ 315,158,317,159,319,160,321,161,323,162,325,163,327,164,329,165,331,166,
+ 333,167,335,168,337,169,339,170,341,171,343,172,345,173,347,174,349,175,
+ 351,176,353,177,355,178,357,179,359,180,361,181,363,182,365,183,367,184,
+ 369,185,371,186,373,187,375,188,377,189,379,190,381,191,383,192,385,193,
+ 387,194,389,195,391,196,393,197,395,198,397,199,399,0,401,200,403,201,
+ 405,202,407,203,409,204,411,205,413,206,1,0,6,2,0,69,69,101,101,2,0,43,
43,45,45,5,0,65,90,97,122,880,1279,7936,8191,8495,8495,5,0,48,57,65,90,
- 97,122,880,1279,7936,8191,2,0,10,10,13,13,2,0,9,9,32,32,1757,0,1,1,0,0,
+ 97,122,880,1279,7936,8191,2,0,10,10,13,13,2,0,9,9,32,32,1797,0,1,1,0,0,
0,0,3,1,0,0,0,0,5,1,0,0,0,0,7,1,0,0,0,0,9,1,0,0,0,0,11,1,0,0,0,0,13,1,
0,0,0,0,15,1,0,0,0,0,17,1,0,0,0,0,19,1,0,0,0,0,21,1,0,0,0,0,23,1,0,0,0,
0,25,1,0,0,0,0,27,1,0,0,0,0,29,1,0,0,0,0,31,1,0,0,0,0,33,1,0,0,0,0,35,
@@ -398,403 +405,414 @@ static AngouriMathLexer() {
1,0,0,0,0,353,1,0,0,0,0,355,1,0,0,0,0,357,1,0,0,0,0,359,1,0,0,0,0,361,
1,0,0,0,0,363,1,0,0,0,0,365,1,0,0,0,0,367,1,0,0,0,0,369,1,0,0,0,0,371,
1,0,0,0,0,373,1,0,0,0,0,375,1,0,0,0,0,377,1,0,0,0,0,379,1,0,0,0,0,381,
- 1,0,0,0,0,383,1,0,0,0,0,385,1,0,0,0,0,389,1,0,0,0,0,391,1,0,0,0,0,393,
- 1,0,0,0,0,395,1,0,0,0,0,397,1,0,0,0,0,399,1,0,0,0,0,401,1,0,0,0,1,403,
- 1,0,0,0,3,405,1,0,0,0,5,407,1,0,0,0,7,409,1,0,0,0,9,411,1,0,0,0,11,413,
- 1,0,0,0,13,417,1,0,0,0,15,419,1,0,0,0,17,421,1,0,0,0,19,425,1,0,0,0,21,
- 435,1,0,0,0,23,438,1,0,0,0,25,444,1,0,0,0,27,447,1,0,0,0,29,459,1,0,0,
- 0,31,461,1,0,0,0,33,464,1,0,0,0,35,471,1,0,0,0,37,473,1,0,0,0,39,482,1,
- 0,0,0,41,484,1,0,0,0,43,492,1,0,0,0,45,494,1,0,0,0,47,497,1,0,0,0,49,500,
- 1,0,0,0,51,502,1,0,0,0,53,504,1,0,0,0,55,506,1,0,0,0,57,509,1,0,0,0,59,
- 511,1,0,0,0,61,513,1,0,0,0,63,515,1,0,0,0,65,519,1,0,0,0,67,523,1,0,0,
- 0,69,525,1,0,0,0,71,529,1,0,0,0,73,532,1,0,0,0,75,540,1,0,0,0,77,543,1,
- 0,0,0,79,552,1,0,0,0,81,555,1,0,0,0,83,557,1,0,0,0,85,564,1,0,0,0,87,566,
- 1,0,0,0,89,574,1,0,0,0,91,577,1,0,0,0,93,584,1,0,0,0,95,586,1,0,0,0,97,
- 588,1,0,0,0,99,590,1,0,0,0,101,594,1,0,0,0,103,598,1,0,0,0,105,601,1,0,
- 0,0,107,604,1,0,0,0,109,606,1,0,0,0,111,608,1,0,0,0,113,611,1,0,0,0,115,
- 613,1,0,0,0,117,615,1,0,0,0,119,617,1,0,0,0,121,622,1,0,0,0,123,629,1,
- 0,0,0,125,635,1,0,0,0,127,640,1,0,0,0,129,646,1,0,0,0,131,652,1,0,0,0,
- 133,657,1,0,0,0,135,661,1,0,0,0,137,666,1,0,0,0,139,671,1,0,0,0,141,676,
- 1,0,0,0,143,681,1,0,0,0,145,688,1,0,0,0,147,693,1,0,0,0,149,698,1,0,0,
- 0,151,705,1,0,0,0,153,710,1,0,0,0,155,718,1,0,0,0,157,726,1,0,0,0,159,
- 734,1,0,0,0,161,744,1,0,0,0,163,752,1,0,0,0,165,762,1,0,0,0,167,770,1,
- 0,0,0,169,776,1,0,0,0,171,782,1,0,0,0,173,788,1,0,0,0,175,794,1,0,0,0,
- 177,802,1,0,0,0,179,808,1,0,0,0,181,816,1,0,0,0,183,822,1,0,0,0,185,830,
- 1,0,0,0,187,836,1,0,0,0,189,840,1,0,0,0,191,846,1,0,0,0,193,850,1,0,0,
- 0,195,856,1,0,0,0,197,860,1,0,0,0,199,868,1,0,0,0,201,874,1,0,0,0,203,
- 879,1,0,0,0,205,885,1,0,0,0,207,890,1,0,0,0,209,898,1,0,0,0,211,904,1,
- 0,0,0,213,911,1,0,0,0,215,919,1,0,0,0,217,925,1,0,0,0,219,934,1,0,0,0,
- 221,941,1,0,0,0,223,949,1,0,0,0,225,955,1,0,0,0,227,964,1,0,0,0,229,971,
- 1,0,0,0,231,979,1,0,0,0,233,985,1,0,0,0,235,994,1,0,0,0,237,1001,1,0,0,
- 0,239,1009,1,0,0,0,241,1018,1,0,0,0,243,1028,1,0,0,0,245,1035,1,0,0,0,
- 247,1046,1,0,0,0,249,1053,1,0,0,0,251,1061,1,0,0,0,253,1068,1,0,0,0,255,
- 1077,1,0,0,0,257,1086,1,0,0,0,259,1096,1,0,0,0,261,1104,1,0,0,0,263,1115,
- 1,0,0,0,265,1122,1,0,0,0,267,1133,1,0,0,0,269,1140,1,0,0,0,271,1152,1,
- 0,0,0,273,1162,1,0,0,0,275,1169,1,0,0,0,277,1180,1,0,0,0,279,1192,1,0,
- 0,0,281,1197,1,0,0,0,283,1206,1,0,0,0,285,1214,1,0,0,0,287,1219,1,0,0,
- 0,289,1225,1,0,0,0,291,1230,1,0,0,0,293,1235,1,0,0,0,295,1242,1,0,0,0,
- 297,1253,1,0,0,0,299,1259,1,0,0,0,301,1269,1,0,0,0,303,1276,1,0,0,0,305,
- 1290,1,0,0,0,307,1302,1,0,0,0,309,1309,1,0,0,0,311,1319,1,0,0,0,313,1326,
- 1,0,0,0,315,1332,1,0,0,0,317,1341,1,0,0,0,319,1348,1,0,0,0,321,1353,1,
- 0,0,0,323,1358,1,0,0,0,325,1366,1,0,0,0,327,1374,1,0,0,0,329,1379,1,0,
- 0,0,331,1384,1,0,0,0,333,1394,1,0,0,0,335,1403,1,0,0,0,337,1410,1,0,0,
- 0,339,1415,1,0,0,0,341,1421,1,0,0,0,343,1427,1,0,0,0,345,1431,1,0,0,0,
- 347,1435,1,0,0,0,349,1446,1,0,0,0,351,1455,1,0,0,0,353,1459,1,0,0,0,355,
- 1463,1,0,0,0,357,1468,1,0,0,0,359,1473,1,0,0,0,361,1478,1,0,0,0,363,1489,
- 1,0,0,0,365,1494,1,0,0,0,367,1501,1,0,0,0,369,1512,1,0,0,0,371,1523,1,
- 0,0,0,373,1529,1,0,0,0,375,1534,1,0,0,0,377,1541,1,0,0,0,379,1549,1,0,
- 0,0,381,1560,1,0,0,0,383,1567,1,0,0,0,385,1579,1,0,0,0,387,1585,1,0,0,
- 0,389,1627,1,0,0,0,391,1647,1,0,0,0,393,1667,1,0,0,0,395,1669,1,0,0,0,
- 397,1674,1,0,0,0,399,1715,1,0,0,0,401,1720,1,0,0,0,403,404,5,33,0,0,404,
- 2,1,0,0,0,405,406,5,94,0,0,406,4,1,0,0,0,407,408,5,45,0,0,408,6,1,0,0,
- 0,409,410,5,43,0,0,410,8,1,0,0,0,411,412,5,42,0,0,412,10,1,0,0,0,413,414,
- 5,46,0,0,414,415,5,46,0,0,415,416,5,46,0,0,416,12,1,0,0,0,417,418,5,8230,
- 0,0,418,14,1,0,0,0,419,420,5,47,0,0,420,16,1,0,0,0,421,422,5,109,0,0,422,
- 423,5,111,0,0,423,424,5,100,0,0,424,18,1,0,0,0,425,426,5,105,0,0,426,427,
- 5,110,0,0,427,428,5,116,0,0,428,429,5,101,0,0,429,430,5,114,0,0,430,431,
- 5,115,0,0,431,432,5,101,0,0,432,433,5,99,0,0,433,434,5,116,0,0,434,20,
- 1,0,0,0,435,436,5,47,0,0,436,437,5,92,0,0,437,22,1,0,0,0,438,439,5,117,
- 0,0,439,440,5,110,0,0,440,441,5,105,0,0,441,442,5,116,0,0,442,443,5,101,
- 0,0,443,24,1,0,0,0,444,445,5,92,0,0,445,446,5,47,0,0,446,26,1,0,0,0,447,
- 448,5,115,0,0,448,449,5,101,0,0,449,450,5,116,0,0,450,451,5,115,0,0,451,
- 452,5,117,0,0,452,453,5,98,0,0,453,454,5,116,0,0,454,455,5,114,0,0,455,
- 456,5,97,0,0,456,457,5,99,0,0,457,458,5,116,0,0,458,28,1,0,0,0,459,460,
- 5,92,0,0,460,30,1,0,0,0,461,462,5,105,0,0,462,463,5,110,0,0,463,32,1,0,
- 0,0,464,465,5,115,0,0,465,466,5,117,0,0,466,467,5,98,0,0,467,468,5,115,
- 0,0,468,469,5,101,0,0,469,470,5,116,0,0,470,34,1,0,0,0,471,472,5,8838,
- 0,0,472,36,1,0,0,0,473,474,5,115,0,0,474,475,5,117,0,0,475,476,5,112,0,
- 0,476,477,5,101,0,0,477,478,5,114,0,0,478,479,5,115,0,0,479,480,5,101,
- 0,0,480,481,5,116,0,0,481,38,1,0,0,0,482,483,5,8839,0,0,483,40,1,0,0,0,
- 484,485,5,100,0,0,485,486,5,105,0,0,486,487,5,118,0,0,487,488,5,105,0,
- 0,488,489,5,100,0,0,489,490,5,101,0,0,490,491,5,115,0,0,491,42,1,0,0,0,
- 492,493,5,124,0,0,493,44,1,0,0,0,494,495,5,62,0,0,495,496,5,61,0,0,496,
- 46,1,0,0,0,497,498,5,60,0,0,498,499,5,61,0,0,499,48,1,0,0,0,500,501,5,
- 62,0,0,501,50,1,0,0,0,502,503,5,60,0,0,503,52,1,0,0,0,504,505,5,61,0,0,
- 505,54,1,0,0,0,506,507,5,60,0,0,507,508,5,62,0,0,508,56,1,0,0,0,509,510,
- 5,8801,0,0,510,58,1,0,0,0,511,512,5,40,0,0,512,60,1,0,0,0,513,514,5,41,
- 0,0,514,62,1,0,0,0,515,516,5,110,0,0,516,517,5,111,0,0,517,518,5,116,0,
- 0,518,64,1,0,0,0,519,520,5,97,0,0,520,521,5,110,0,0,521,522,5,100,0,0,
- 522,66,1,0,0,0,523,524,5,38,0,0,524,68,1,0,0,0,525,526,5,120,0,0,526,527,
- 5,111,0,0,527,528,5,114,0,0,528,70,1,0,0,0,529,530,5,111,0,0,530,531,5,
- 114,0,0,531,72,1,0,0,0,532,533,5,105,0,0,533,534,5,109,0,0,534,535,5,112,
- 0,0,535,536,5,108,0,0,536,537,5,105,0,0,537,538,5,101,0,0,538,539,5,115,
- 0,0,539,74,1,0,0,0,540,541,5,45,0,0,541,542,5,62,0,0,542,76,1,0,0,0,543,
- 544,5,112,0,0,544,545,5,114,0,0,545,546,5,111,0,0,546,547,5,118,0,0,547,
- 548,5,105,0,0,548,549,5,100,0,0,549,550,5,101,0,0,550,551,5,100,0,0,551,
- 78,1,0,0,0,552,553,5,61,0,0,553,554,5,62,0,0,554,80,1,0,0,0,555,556,5,
- 58,0,0,556,82,1,0,0,0,557,558,5,102,0,0,558,559,5,111,0,0,559,560,5,114,
- 0,0,560,561,5,97,0,0,561,562,5,108,0,0,562,563,5,108,0,0,563,84,1,0,0,
- 0,564,565,5,8704,0,0,565,86,1,0,0,0,566,567,5,101,0,0,567,568,5,120,0,
- 0,568,569,5,105,0,0,569,570,5,115,0,0,570,571,5,116,0,0,571,572,5,115,
- 0,0,572,573,5,33,0,0,573,88,1,0,0,0,574,575,5,8707,0,0,575,576,5,33,0,
- 0,576,90,1,0,0,0,577,578,5,101,0,0,578,579,5,120,0,0,579,580,5,105,0,0,
- 580,581,5,115,0,0,581,582,5,116,0,0,582,583,5,115,0,0,583,92,1,0,0,0,584,
- 585,5,8707,0,0,585,94,1,0,0,0,586,587,5,44,0,0,587,96,1,0,0,0,588,589,
- 5,59,0,0,589,98,1,0,0,0,590,591,5,43,0,0,591,592,5,111,0,0,592,593,5,111,
- 0,0,593,100,1,0,0,0,594,595,5,45,0,0,595,596,5,111,0,0,596,597,5,111,0,
- 0,597,102,1,0,0,0,598,599,5,40,0,0,599,600,5,124,0,0,600,104,1,0,0,0,601,
- 602,5,124,0,0,602,603,5,41,0,0,603,106,1,0,0,0,604,605,5,35,0,0,605,108,
- 1,0,0,0,606,607,5,91,0,0,607,110,1,0,0,0,608,609,5,93,0,0,609,610,5,84,
- 0,0,610,112,1,0,0,0,611,612,5,93,0,0,612,114,1,0,0,0,613,614,5,123,0,0,
- 614,116,1,0,0,0,615,616,5,125,0,0,616,118,1,0,0,0,617,618,5,108,0,0,618,
- 619,5,111,0,0,619,620,5,103,0,0,620,621,5,40,0,0,621,120,1,0,0,0,622,623,
- 5,108,0,0,623,624,5,111,0,0,624,625,5,103,0,0,625,626,5,49,0,0,626,627,
- 5,48,0,0,627,628,5,40,0,0,628,122,1,0,0,0,629,630,5,108,0,0,630,631,5,
- 111,0,0,631,632,5,103,0,0,632,633,5,50,0,0,633,634,5,40,0,0,634,124,1,
- 0,0,0,635,636,5,112,0,0,636,637,5,111,0,0,637,638,5,119,0,0,638,639,5,
- 40,0,0,639,126,1,0,0,0,640,641,5,115,0,0,641,642,5,113,0,0,642,643,5,114,
- 0,0,643,644,5,116,0,0,644,645,5,40,0,0,645,128,1,0,0,0,646,647,5,99,0,
- 0,647,648,5,98,0,0,648,649,5,114,0,0,649,650,5,116,0,0,650,651,5,40,0,
- 0,651,130,1,0,0,0,652,653,5,115,0,0,653,654,5,113,0,0,654,655,5,114,0,
- 0,655,656,5,40,0,0,656,132,1,0,0,0,657,658,5,108,0,0,658,659,5,110,0,0,
- 659,660,5,40,0,0,660,134,1,0,0,0,661,662,5,101,0,0,662,663,5,120,0,0,663,
- 664,5,112,0,0,664,665,5,40,0,0,665,136,1,0,0,0,666,667,5,115,0,0,667,668,
- 5,105,0,0,668,669,5,110,0,0,669,670,5,40,0,0,670,138,1,0,0,0,671,672,5,
- 99,0,0,672,673,5,111,0,0,673,674,5,115,0,0,674,675,5,40,0,0,675,140,1,
- 0,0,0,676,677,5,116,0,0,677,678,5,97,0,0,678,679,5,110,0,0,679,680,5,40,
- 0,0,680,142,1,0,0,0,681,682,5,99,0,0,682,683,5,111,0,0,683,684,5,116,0,
- 0,684,685,5,97,0,0,685,686,5,110,0,0,686,687,5,40,0,0,687,144,1,0,0,0,
- 688,689,5,99,0,0,689,690,5,111,0,0,690,691,5,116,0,0,691,692,5,40,0,0,
- 692,146,1,0,0,0,693,694,5,115,0,0,694,695,5,101,0,0,695,696,5,99,0,0,696,
- 697,5,40,0,0,697,148,1,0,0,0,698,699,5,99,0,0,699,700,5,111,0,0,700,701,
- 5,115,0,0,701,702,5,101,0,0,702,703,5,99,0,0,703,704,5,40,0,0,704,150,
- 1,0,0,0,705,706,5,99,0,0,706,707,5,115,0,0,707,708,5,99,0,0,708,709,5,
- 40,0,0,709,152,1,0,0,0,710,711,5,97,0,0,711,712,5,114,0,0,712,713,5,99,
- 0,0,713,714,5,115,0,0,714,715,5,105,0,0,715,716,5,110,0,0,716,717,5,40,
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+ 1451,5,121,0,0,1451,1452,5,103,0,0,1452,1453,5,97,0,0,1453,1454,5,109,
+ 0,0,1454,1455,5,109,0,0,1455,1456,5,97,0,0,1456,1457,5,40,0,0,1457,348,
+ 1,0,0,0,1458,1459,5,100,0,0,1459,1460,5,105,0,0,1460,1461,5,103,0,0,1461,
+ 1462,5,97,0,0,1462,1463,5,109,0,0,1463,1464,5,109,0,0,1464,1465,5,97,0,
+ 0,1465,1466,5,40,0,0,1466,350,1,0,0,0,1467,1468,5,83,0,0,1468,1469,5,105,
+ 0,0,1469,1470,5,40,0,0,1470,352,1,0,0,0,1471,1472,5,67,0,0,1472,1473,5,
+ 105,0,0,1473,1474,5,40,0,0,1474,354,1,0,0,0,1475,1476,5,83,0,0,1476,1477,
+ 5,104,0,0,1477,1478,5,105,0,0,1478,1479,5,40,0,0,1479,356,1,0,0,0,1480,
+ 1481,5,67,0,0,1481,1482,5,104,0,0,1482,1483,5,105,0,0,1483,1484,5,40,0,
+ 0,1484,358,1,0,0,0,1485,1486,5,100,0,0,1486,1487,5,101,0,0,1487,1488,5,
+ 116,0,0,1488,1489,5,40,0,0,1489,360,1,0,0,0,1490,1491,5,116,0,0,1491,1492,
+ 5,114,0,0,1492,1493,5,97,0,0,1493,1494,5,110,0,0,1494,1495,5,115,0,0,1495,
+ 1496,5,112,0,0,1496,1497,5,111,0,0,1497,1498,5,115,0,0,1498,1499,5,101,
+ 0,0,1499,1500,5,40,0,0,1500,362,1,0,0,0,1501,1502,5,100,0,0,1502,1503,
+ 5,111,0,0,1503,1504,5,116,0,0,1504,1505,5,40,0,0,1505,364,1,0,0,0,1506,
+ 1507,5,99,0,0,1507,1508,5,114,0,0,1508,1509,5,111,0,0,1509,1510,5,115,
+ 0,0,1510,1511,5,115,0,0,1511,1512,5,40,0,0,1512,366,1,0,0,0,1513,1514,
+ 5,114,0,0,1514,1515,5,101,0,0,1515,1516,5,115,0,0,1516,1517,5,117,0,0,
+ 1517,1518,5,108,0,0,1518,1519,5,116,0,0,1519,1520,5,97,0,0,1520,1521,5,
+ 110,0,0,1521,1522,5,116,0,0,1522,1523,5,40,0,0,1523,368,1,0,0,0,1524,1525,
+ 5,99,0,0,1525,1526,5,111,0,0,1526,1527,5,110,0,0,1527,1528,5,106,0,0,1528,
+ 1529,5,117,0,0,1529,1530,5,103,0,0,1530,1531,5,97,0,0,1531,1532,5,116,
+ 0,0,1532,1533,5,101,0,0,1533,1534,5,40,0,0,1534,370,1,0,0,0,1535,1536,
+ 5,99,0,0,1536,1537,5,111,0,0,1537,1538,5,110,0,0,1538,1539,5,106,0,0,1539,
+ 1540,5,40,0,0,1540,372,1,0,0,0,1541,1542,5,97,0,0,1542,1543,5,114,0,0,
+ 1543,1544,5,103,0,0,1544,1545,5,40,0,0,1545,374,1,0,0,0,1546,1547,5,82,
+ 0,0,1547,1548,5,101,0,0,1548,1549,5,40,0,0,1549,376,1,0,0,0,1550,1551,
+ 5,73,0,0,1551,1552,5,109,0,0,1552,1553,5,40,0,0,1553,378,1,0,0,0,1554,
+ 1555,5,114,0,0,1555,1556,5,101,0,0,1556,1557,5,40,0,0,1557,380,1,0,0,0,
+ 1558,1559,5,114,0,0,1559,1560,5,101,0,0,1560,1561,5,97,0,0,1561,1562,5,
+ 108,0,0,1562,1563,5,40,0,0,1563,382,1,0,0,0,1564,1565,5,105,0,0,1565,1566,
+ 5,109,0,0,1566,1567,5,40,0,0,1567,384,1,0,0,0,1568,1569,5,105,0,0,1569,
+ 1570,5,109,0,0,1570,1571,5,97,0,0,1571,1572,5,103,0,0,1572,1573,5,40,0,
+ 0,1573,386,1,0,0,0,1574,1575,5,116,0,0,1575,1576,5,114,0,0,1576,1577,5,
+ 117,0,0,1577,1578,5,110,0,0,1578,1579,5,99,0,0,1579,1580,5,40,0,0,1580,
+ 388,1,0,0,0,1581,1582,5,100,0,0,1582,1583,5,111,0,0,1583,1584,5,109,0,
+ 0,1584,1585,5,97,0,0,1585,1586,5,105,0,0,1586,1587,5,110,0,0,1587,1588,
+ 5,40,0,0,1588,390,1,0,0,0,1589,1590,5,112,0,0,1590,1591,5,105,0,0,1591,
+ 1592,5,101,0,0,1592,1593,5,99,0,0,1593,1594,5,101,0,0,1594,1595,5,119,
+ 0,0,1595,1596,5,105,0,0,1596,1597,5,115,0,0,1597,1598,5,101,0,0,1598,1599,
+ 5,40,0,0,1599,392,1,0,0,0,1600,1601,5,97,0,0,1601,1602,5,112,0,0,1602,
+ 1603,5,112,0,0,1603,1604,5,108,0,0,1604,1605,5,121,0,0,1605,1606,5,40,
+ 0,0,1606,394,1,0,0,0,1607,1608,5,108,0,0,1608,1609,5,97,0,0,1609,1610,
+ 5,109,0,0,1610,1611,5,98,0,0,1611,1612,5,100,0,0,1612,1613,5,97,0,0,1613,
+ 1614,5,40,0,0,1614,396,1,0,0,0,1615,1617,5,13,0,0,1616,1615,1,0,0,0,1616,
+ 1617,1,0,0,0,1617,1618,1,0,0,0,1618,1620,5,10,0,0,1619,1616,1,0,0,0,1620,
+ 1621,1,0,0,0,1621,1619,1,0,0,0,1621,1622,1,0,0,0,1622,1623,1,0,0,0,1623,
+ 1624,6,198,0,0,1624,398,1,0,0,0,1625,1627,7,0,0,0,1626,1628,7,1,0,0,1627,
+ 1626,1,0,0,0,1627,1628,1,0,0,0,1628,1630,1,0,0,0,1629,1631,2,48,57,0,1630,
+ 1629,1,0,0,0,1631,1632,1,0,0,0,1632,1630,1,0,0,0,1632,1633,1,0,0,0,1633,
+ 400,1,0,0,0,1634,1636,2,48,57,0,1635,1634,1,0,0,0,1636,1637,1,0,0,0,1637,
+ 1635,1,0,0,0,1637,1638,1,0,0,0,1638,1639,1,0,0,0,1639,1643,5,46,0,0,1640,
+ 1642,2,48,57,0,1641,1640,1,0,0,0,1642,1645,1,0,0,0,1643,1641,1,0,0,0,1643,
+ 1644,1,0,0,0,1644,1647,1,0,0,0,1645,1643,1,0,0,0,1646,1648,3,399,199,0,
+ 1647,1646,1,0,0,0,1647,1648,1,0,0,0,1648,1650,1,0,0,0,1649,1651,5,105,
+ 0,0,1650,1649,1,0,0,0,1650,1651,1,0,0,0,1651,1668,1,0,0,0,1652,1654,5,
+ 46,0,0,1653,1652,1,0,0,0,1653,1654,1,0,0,0,1654,1656,1,0,0,0,1655,1657,
+ 2,48,57,0,1656,1655,1,0,0,0,1657,1658,1,0,0,0,1658,1656,1,0,0,0,1658,1659,
+ 1,0,0,0,1659,1661,1,0,0,0,1660,1662,3,399,199,0,1661,1660,1,0,0,0,1661,
+ 1662,1,0,0,0,1662,1664,1,0,0,0,1663,1665,5,105,0,0,1664,1663,1,0,0,0,1664,
+ 1665,1,0,0,0,1665,1668,1,0,0,0,1666,1668,5,105,0,0,1667,1635,1,0,0,0,1667,
+ 1653,1,0,0,0,1667,1666,1,0,0,0,1668,402,1,0,0,0,1669,1670,5,67,0,0,1670,
+ 1688,5,67,0,0,1671,1672,5,82,0,0,1672,1688,5,82,0,0,1673,1674,5,81,0,0,
+ 1674,1688,5,81,0,0,1675,1676,5,90,0,0,1676,1688,5,90,0,0,1677,1678,5,66,
+ 0,0,1678,1688,5,66,0,0,1679,1680,5,90,0,0,1680,1681,5,90,0,0,1681,1688,
+ 5,42,0,0,1682,1683,5,90,0,0,1683,1684,5,90,0,0,1684,1688,5,43,0,0,1685,
+ 1686,5,80,0,0,1686,1688,5,80,0,0,1687,1669,1,0,0,0,1687,1671,1,0,0,0,1687,
+ 1673,1,0,0,0,1687,1675,1,0,0,0,1687,1677,1,0,0,0,1687,1679,1,0,0,0,1687,
+ 1682,1,0,0,0,1687,1685,1,0,0,0,1688,404,1,0,0,0,1689,1690,5,116,0,0,1690,
+ 1691,5,114,0,0,1691,1692,5,117,0,0,1692,1708,5,101,0,0,1693,1694,5,84,
+ 0,0,1694,1695,5,114,0,0,1695,1696,5,117,0,0,1696,1708,5,101,0,0,1697,1698,
+ 5,102,0,0,1698,1699,5,97,0,0,1699,1700,5,108,0,0,1700,1701,5,115,0,0,1701,
+ 1708,5,101,0,0,1702,1703,5,70,0,0,1703,1704,5,97,0,0,1704,1705,5,108,0,
+ 0,1705,1706,5,115,0,0,1706,1708,5,101,0,0,1707,1689,1,0,0,0,1707,1693,
+ 1,0,0,0,1707,1697,1,0,0,0,1707,1702,1,0,0,0,1708,406,1,0,0,0,1709,1710,
+ 5,78,0,0,1710,1711,5,97,0,0,1711,1712,5,78,0,0,1712,408,1,0,0,0,1713,1715,
+ 7,2,0,0,1714,1713,1,0,0,0,1715,1716,1,0,0,0,1716,1714,1,0,0,0,1716,1717,
+ 1,0,0,0,1717,1726,1,0,0,0,1718,1720,5,95,0,0,1719,1721,7,3,0,0,1720,1719,
+ 1,0,0,0,1721,1722,1,0,0,0,1722,1720,1,0,0,0,1722,1723,1,0,0,0,1723,1725,
+ 1,0,0,0,1724,1718,1,0,0,0,1725,1728,1,0,0,0,1726,1724,1,0,0,0,1726,1727,
+ 1,0,0,0,1727,410,1,0,0,0,1728,1726,1,0,0,0,1729,1730,5,47,0,0,1730,1731,
+ 5,47,0,0,1731,1735,1,0,0,0,1732,1734,8,4,0,0,1733,1732,1,0,0,0,1734,1737,
+ 1,0,0,0,1735,1733,1,0,0,0,1735,1736,1,0,0,0,1736,1742,1,0,0,0,1737,1735,
+ 1,0,0,0,1738,1740,5,13,0,0,1739,1738,1,0,0,0,1739,1740,1,0,0,0,1740,1741,
+ 1,0,0,0,1741,1743,5,10,0,0,1742,1739,1,0,0,0,1742,1743,1,0,0,0,1743,1756,
+ 1,0,0,0,1744,1745,5,47,0,0,1745,1746,5,42,0,0,1746,1750,1,0,0,0,1747,1749,
+ 9,0,0,0,1748,1747,1,0,0,0,1749,1752,1,0,0,0,1750,1751,1,0,0,0,1750,1748,
+ 1,0,0,0,1751,1753,1,0,0,0,1752,1750,1,0,0,0,1753,1754,5,42,0,0,1754,1756,
+ 5,47,0,0,1755,1729,1,0,0,0,1755,1744,1,0,0,0,1756,1757,1,0,0,0,1757,1758,
+ 6,205,0,0,1758,412,1,0,0,0,1759,1761,7,5,0,0,1760,1759,1,0,0,0,1761,1762,
+ 1,0,0,0,1762,1760,1,0,0,0,1762,1763,1,0,0,0,1763,1764,1,0,0,0,1764,1765,
+ 6,206,0,0,1765,414,1,0,0,0,25,0,1616,1621,1627,1632,1637,1643,1647,1650,
+ 1653,1658,1661,1664,1667,1687,1707,1716,1722,1726,1735,1739,1742,1750,
+ 1755,1762,1,6,0,0
};
public static readonly ATN _ATN =
diff --git a/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.interp b/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.interp
index a93ebef71..f164635f4 100644
--- a/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.interp
+++ b/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.interp
@@ -187,6 +187,12 @@ null
'conjugate('
'conj('
'arg('
+'Re('
+'Im('
+'re('
+'real('
+'im('
+'imag('
'trunc('
'domain('
'piecewise('
@@ -395,6 +401,12 @@ null
null
null
null
+null
+null
+null
+null
+null
+null
NEWLINE
NUMBER
SPECIALSET
@@ -597,6 +609,12 @@ T__188
T__189
T__190
T__191
+T__192
+T__193
+T__194
+T__195
+T__196
+T__197
NEWLINE
EXPONENT
NUMBER
@@ -615,4 +633,4 @@ mode names:
DEFAULT_MODE
atn:
-[4, 0, 200, 1726, 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, 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1727, 1, 0, 0, 0, 1727, 410, 1, 0, 0, 0, 1728, 1726, 1, 0, 0, 0, 1729, 1730, 5, 47, 0, 0, 1730, 1731, 5, 47, 0, 0, 1731, 1735, 1, 0, 0, 0, 1732, 1734, 8, 4, 0, 0, 1733, 1732, 1, 0, 0, 0, 1734, 1737, 1, 0, 0, 0, 1735, 1733, 1, 0, 0, 0, 1735, 1736, 1, 0, 0, 0, 1736, 1742, 1, 0, 0, 0, 1737, 1735, 1, 0, 0, 0, 1738, 1740, 5, 13, 0, 0, 1739, 1738, 1, 0, 0, 0, 1739, 1740, 1, 0, 0, 0, 1740, 1741, 1, 0, 0, 0, 1741, 1743, 5, 10, 0, 0, 1742, 1739, 1, 0, 0, 0, 1742, 1743, 1, 0, 0, 0, 1743, 1756, 1, 0, 0, 0, 1744, 1745, 5, 47, 0, 0, 1745, 1746, 5, 42, 0, 0, 1746, 1750, 1, 0, 0, 0, 1747, 1749, 9, 0, 0, 0, 1748, 1747, 1, 0, 0, 0, 1749, 1752, 1, 0, 0, 0, 1750, 1751, 1, 0, 0, 0, 1750, 1748, 1, 0, 0, 0, 1751, 1753, 1, 0, 0, 0, 1752, 1750, 1, 0, 0, 0, 1753, 1754, 5, 42, 0, 0, 1754, 1756, 5, 47, 0, 0, 1755, 1729, 1, 0, 0, 0, 1755, 1744, 1, 0, 0, 0, 1756, 1757, 1, 0, 0, 0, 1757, 1758, 6, 205, 0, 0, 1758, 412, 1, 0, 0, 0, 1759, 1761, 7, 5, 0, 0, 1760, 1759, 1, 0, 0, 0, 1761, 1762, 1, 0, 0, 0, 1762, 1760, 1, 0, 0, 0, 1762, 1763, 1, 0, 0, 0, 1763, 1764, 1, 0, 0, 0, 1764, 1765, 6, 206, 0, 0, 1765, 414, 1, 0, 0, 0, 25, 0, 1616, 1621, 1627, 1632, 1637, 1643, 1647, 1650, 1653, 1658, 1661, 1664, 1667, 1687, 1707, 1716, 1722, 1726, 1735, 1739, 1742, 1750, 1755, 1762, 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 4f32df58d..93e126363 100644
--- a/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.tokens
+++ b/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.tokens
@@ -190,14 +190,20 @@ T__188=189
T__189=190
T__190=191
T__191=192
-NEWLINE=193
-NUMBER=194
-SPECIALSET=195
-BOOLEAN=196
-NAN=197
-VARIABLE=198
-COMMENT=199
-WS=200
+T__192=193
+T__193=194
+T__194=195
+T__195=196
+T__196=197
+T__197=198
+NEWLINE=199
+NUMBER=200
+SPECIALSET=201
+BOOLEAN=202
+NAN=203
+VARIABLE=204
+COMMENT=205
+WS=206
'!'=1
'^'=2
'-'=3
@@ -385,9 +391,15 @@ WS=200
'conjugate('=185
'conj('=186
'arg('=187
-'trunc('=188
-'domain('=189
-'piecewise('=190
-'apply('=191
-'lambda('=192
-'NaN'=197
+'Re('=188
+'Im('=189
+'re('=190
+'real('=191
+'im('=192
+'imag('=193
+'trunc('=194
+'domain('=195
+'piecewise('=196
+'apply('=197
+'lambda('=198
+'NaN'=203
diff --git a/Sources/AngouriMath/Core/Antlr/AngouriMathParser.cs b/Sources/AngouriMath/Core/Antlr/AngouriMathParser.cs
index bfd4e7ec7..9cbb9f37f 100644
--- a/Sources/AngouriMath/Core/Antlr/AngouriMathParser.cs
+++ b/Sources/AngouriMath/Core/Antlr/AngouriMathParser.cs
@@ -75,8 +75,9 @@ public const int
T__173=174, T__174=175, T__175=176, T__176=177, T__177=178, T__178=179,
T__179=180, T__180=181, T__181=182, T__182=183, T__183=184, T__184=185,
T__185=186, T__186=187, T__187=188, T__188=189, T__189=190, T__190=191,
- T__191=192, NEWLINE=193, NUMBER=194, SPECIALSET=195, BOOLEAN=196, NAN=197,
- VARIABLE=198, COMMENT=199, WS=200;
+ T__191=192, T__192=193, T__193=194, T__194=195, T__195=196, T__196=197,
+ T__197=198, NEWLINE=199, NUMBER=200, SPECIALSET=201, BOOLEAN=202, NAN=203,
+ VARIABLE=204, COMMENT=205, WS=206;
public const int
RULE_factorial_expression = 0, RULE_power_list = 1, RULE_power_expression = 2,
RULE_unary_expression = 3, RULE_mult_expression = 4, RULE_sum_expression = 5,
@@ -126,8 +127,9 @@ public const int
"'iverson('", "'aleph('", "'erf('", "'erfc('", "'erfi('", "'Ei('", "'li('",
"'polygamma('", "'digamma('", "'Si('", "'Ci('", "'Shi('", "'Chi('", "'det('",
"'transpose('", "'dot('", "'cross('", "'resultant('", "'conjugate('",
- "'conj('", "'arg('", "'trunc('", "'domain('", "'piecewise('", "'apply('",
- "'lambda('", null, null, null, null, "'NaN'"
+ "'conj('", "'arg('", "'Re('", "'Im('", "'re('", "'real('", "'im('", "'imag('",
+ "'trunc('", "'domain('", "'piecewise('", "'apply('", "'lambda('", null,
+ null, null, null, "'NaN'"
};
private static readonly string[] _SymbolicNames = {
null, null, null, null, null, null, null, null, null, null, null, null,
@@ -146,8 +148,8 @@ public const int
null, null, null, null, null, null, null, null, null, null, null, null,
null, null, null, null, null, null, null, null, null, null, null, null,
null, null, null, null, null, null, null, null, null, null, null, null,
- null, "NEWLINE", "NUMBER", "SPECIALSET", "BOOLEAN", "NAN", "VARIABLE",
- "COMMENT", "WS"
+ null, null, null, null, null, null, null, "NEWLINE", "NUMBER", "SPECIALSET",
+ "BOOLEAN", "NAN", "VARIABLE", "COMMENT", "WS"
};
public static readonly IVocabulary DefaultVocabulary = new Vocabulary(_LiteralNames, _SymbolicNames);
@@ -765,6 +767,12 @@ public Mult_expressionContext mult_expression() {
case T__189:
case T__190:
case T__191:
+ case T__192:
+ case T__193:
+ case T__194:
+ case T__195:
+ case T__196:
+ case T__197:
case NUMBER:
case SPECIALSET:
case BOOLEAN:
@@ -1032,6 +1040,12 @@ public Sum_expressionContext sum_expression() {
case T__189:
case T__190:
case T__191:
+ case T__192:
+ case T__193:
+ case T__194:
+ case T__195:
+ case T__196:
+ case T__197:
case NUMBER:
case SPECIALSET:
case BOOLEAN:
@@ -2309,6 +2323,12 @@ public ExpressionContext expression() {
case T__189:
case T__190:
case T__191:
+ case T__192:
+ case T__193:
+ case T__194:
+ case T__195:
+ case T__196:
+ case T__197:
case NUMBER:
case SPECIALSET:
case BOOLEAN:
@@ -2674,7 +2694,7 @@ public Function_argumentsContext function_arguments() {
State = 410;
ErrorHandler.Sync(this);
_la = TokenStream.LA(1);
- if ((((_la) & ~0x3f) == 0 && ((1L << _la) & -802489551279882216L) != 0) || ((((_la - 64)) & ~0x3f) == 0 && ((1L << (_la - 64)) & -1L) != 0) || ((((_la - 128)) & ~0x3f) == 0 && ((1L << (_la - 128)) & -1L) != 0) || ((((_la - 192)) & ~0x3f) == 0 && ((1L << (_la - 192)) & 125L) != 0)) {
+ if ((((_la) & ~0x3f) == 0 && ((1L << _la) & -802489551279882216L) != 0) || ((((_la - 64)) & ~0x3f) == 0 && ((1L << (_la - 64)) & -1L) != 0) || ((((_la - 128)) & ~0x3f) == 0 && ((1L << (_la - 128)) & -1L) != 0) || ((((_la - 192)) & ~0x3f) == 0 && ((1L << (_la - 192)) & 8063L) != 0)) {
{
State = 399;
_localctx.e = expression();
@@ -2750,7 +2770,7 @@ public Set_itemsContext set_items() {
State = 432;
ErrorHandler.Sync(this);
_la = TokenStream.LA(1);
- if ((((_la) & ~0x3f) == 0 && ((1L << _la) & -802489551279882024L) != 0) || ((((_la - 64)) & ~0x3f) == 0 && ((1L << (_la - 64)) & -1L) != 0) || ((((_la - 128)) & ~0x3f) == 0 && ((1L << (_la - 128)) & -1L) != 0) || ((((_la - 192)) & ~0x3f) == 0 && ((1L << (_la - 192)) & 125L) != 0)) {
+ if ((((_la) & ~0x3f) == 0 && ((1L << _la) & -802489551279882024L) != 0) || ((((_la - 64)) & ~0x3f) == 0 && ((1L << (_la - 64)) & -1L) != 0) || ((((_la - 128)) & ~0x3f) == 0 && ((1L << (_la - 128)) & -1L) != 0) || ((((_la - 192)) & ~0x3f) == 0 && ((1L << (_la - 192)) & 8063L) != 0)) {
{
State = 417;
ErrorHandler.Sync(this);
@@ -2904,6 +2924,12 @@ public Set_itemsContext set_items() {
case T__189:
case T__190:
case T__191:
+ case T__192:
+ case T__193:
+ case T__194:
+ case T__195:
+ case T__196:
+ case T__197:
case NUMBER:
case SPECIALSET:
case BOOLEAN:
@@ -3093,6 +3119,12 @@ public Set_itemsContext set_items() {
case T__189:
case T__190:
case T__191:
+ case T__192:
+ case T__193:
+ case T__194:
+ case T__195:
+ case T__196:
+ case T__197:
case NUMBER:
case SPECIALSET:
case BOOLEAN:
@@ -3312,7 +3344,7 @@ public AtomContext atom() {
AtomContext _localctx = new AtomContext(Context, State);
EnterRule(_localctx, 48, RULE_atom);
try {
- State = 1179;
+ State = 1209;
ErrorHandler.Sync(this);
switch ( Interpreter.AdaptivePredict(TokenStream,43,Context) ) {
case 1:
@@ -5075,7 +5107,7 @@ public AtomContext atom() {
_localctx.args = function_arguments();
State = 1156;
Match(T__30);
- _localctx.value = NotImplementedFunction("trunc", "rounding functions");
+ Assert("Re", 1, _localctx.args.list.Count); _localctx.value = MathS.Re(_localctx.args.list[0]);
}
break;
case 148:
@@ -5086,6 +5118,78 @@ public AtomContext atom() {
State = 1160;
_localctx.args = function_arguments();
State = 1161;
+ Match(T__30);
+ Assert("Im", 1, _localctx.args.list.Count); _localctx.value = MathS.Im(_localctx.args.list[0]);
+ }
+ break;
+ case 149:
+ EnterOuterAlt(_localctx, 149);
+ {
+ State = 1164;
+ Match(T__189);
+ State = 1165;
+ _localctx.args = function_arguments();
+ State = 1166;
+ Match(T__30);
+ Assert("re", 1, _localctx.args.list.Count); _localctx.value = MathS.Re(_localctx.args.list[0]);
+ }
+ break;
+ case 150:
+ EnterOuterAlt(_localctx, 150);
+ {
+ State = 1169;
+ Match(T__190);
+ State = 1170;
+ _localctx.args = function_arguments();
+ State = 1171;
+ Match(T__30);
+ Assert("real", 1, _localctx.args.list.Count); _localctx.value = MathS.Re(_localctx.args.list[0]);
+ }
+ break;
+ case 151:
+ EnterOuterAlt(_localctx, 151);
+ {
+ State = 1174;
+ Match(T__191);
+ State = 1175;
+ _localctx.args = function_arguments();
+ State = 1176;
+ Match(T__30);
+ Assert("im", 1, _localctx.args.list.Count); _localctx.value = MathS.Im(_localctx.args.list[0]);
+ }
+ break;
+ case 152:
+ EnterOuterAlt(_localctx, 152);
+ {
+ State = 1179;
+ Match(T__192);
+ State = 1180;
+ _localctx.args = function_arguments();
+ State = 1181;
+ Match(T__30);
+ Assert("imag", 1, _localctx.args.list.Count); _localctx.value = MathS.Im(_localctx.args.list[0]);
+ }
+ break;
+ case 153:
+ EnterOuterAlt(_localctx, 153);
+ {
+ State = 1184;
+ Match(T__193);
+ State = 1185;
+ _localctx.args = function_arguments();
+ State = 1186;
+ Match(T__30);
+ _localctx.value = NotImplementedFunction("trunc", "rounding functions");
+ }
+ break;
+ case 154:
+ EnterOuterAlt(_localctx, 154);
+ {
+ State = 1189;
+ Match(T__194);
+ State = 1190;
+ _localctx.args = function_arguments();
+ State = 1191;
Match(T__30);
Assert("domain", 2, _localctx.args.list.Count);
@@ -5112,14 +5216,14 @@ public AtomContext atom() {
}
break;
- case 149:
- EnterOuterAlt(_localctx, 149);
+ case 155:
+ EnterOuterAlt(_localctx, 155);
{
- State = 1164;
- Match(T__189);
- State = 1165;
+ State = 1194;
+ Match(T__195);
+ State = 1195;
_localctx.args = function_arguments();
- State = 1166;
+ State = 1196;
Match(T__30);
var cases = new List();
@@ -5132,14 +5236,14 @@ public AtomContext atom() {
}
break;
- case 150:
- EnterOuterAlt(_localctx, 150);
+ case 156:
+ EnterOuterAlt(_localctx, 156);
{
- State = 1169;
- Match(T__190);
- State = 1170;
+ State = 1199;
+ Match(T__196);
+ State = 1200;
_localctx.args = function_arguments();
- State = 1171;
+ State = 1201;
Match(T__30);
if (_localctx.args.list.Count < 2)
@@ -5148,14 +5252,14 @@ public AtomContext atom() {
}
break;
- case 151:
- EnterOuterAlt(_localctx, 151);
+ case 157:
+ EnterOuterAlt(_localctx, 157);
{
- State = 1174;
- Match(T__191);
- State = 1175;
+ State = 1204;
+ Match(T__197);
+ State = 1205;
_localctx.args = function_arguments();
- State = 1176;
+ State = 1206;
Match(T__30);
if (_localctx.args.list.Count < 2)
@@ -5218,9 +5322,9 @@ public StatementContext statement() {
try {
EnterOuterAlt(_localctx, 1);
{
- State = 1181;
+ State = 1211;
_localctx._expression = expression();
- State = 1182;
+ State = 1212;
Match(Eof);
Result = _localctx._expression.value;
}
@@ -5237,7 +5341,7 @@ public StatementContext statement() {
}
private static int[] _serializedATN = {
- 4,1,200,1186,2,0,7,0,2,1,7,1,2,2,7,2,2,3,7,3,2,4,7,4,2,5,7,5,2,6,7,6,2,
+ 4,1,206,1216,2,0,7,0,2,1,7,1,2,2,7,2,2,3,7,3,2,4,7,4,2,5,7,5,2,6,7,6,2,
7,7,7,2,8,7,8,2,9,7,9,2,10,7,10,2,11,7,11,2,12,7,12,2,13,7,13,2,14,7,14,
2,15,7,15,2,16,7,16,2,17,7,17,2,18,7,18,2,19,7,19,2,20,7,20,2,21,7,21,
2,22,7,22,2,23,7,23,2,24,7,24,2,25,7,25,1,0,1,0,1,0,1,0,1,0,1,0,1,0,3,
@@ -5320,347 +5424,358 @@ public StatementContext statement() {
24,1,24,1,24,1,24,1,24,1,24,1,24,1,24,1,24,1,24,1,24,1,24,1,24,1,24,1,
24,1,24,1,24,1,24,1,24,1,24,1,24,1,24,1,24,1,24,1,24,1,24,1,24,1,24,1,
24,1,24,1,24,1,24,1,24,1,24,1,24,1,24,1,24,1,24,1,24,1,24,1,24,1,24,1,
- 24,1,24,1,24,1,24,1,24,1,24,1,24,1,24,1,24,1,24,1,24,1,24,1,24,3,24,1180,
- 8,24,1,25,1,25,1,25,1,25,1,25,0,0,26,0,2,4,6,8,10,12,14,16,18,20,22,24,
- 26,28,30,32,34,36,38,40,42,44,46,48,50,0,6,1,0,6,7,1,0,33,34,1,0,37,38,
- 1,0,42,43,1,0,44,45,1,0,46,47,1371,0,59,1,0,0,0,2,77,1,0,0,0,4,79,1,0,
- 0,0,6,109,1,0,0,0,8,111,1,0,0,0,10,136,1,0,0,0,12,157,1,0,0,0,14,172,1,
- 0,0,0,16,195,1,0,0,0,18,230,1,0,0,0,20,281,1,0,0,0,22,283,1,0,0,0,24,302,
- 1,0,0,0,26,317,1,0,0,0,28,332,1,0,0,0,30,351,1,0,0,0,32,370,1,0,0,0,34,
- 372,1,0,0,0,36,384,1,0,0,0,38,386,1,0,0,0,40,410,1,0,0,0,42,432,1,0,0,
- 0,44,434,1,0,0,0,46,440,1,0,0,0,48,1179,1,0,0,0,50,1181,1,0,0,0,52,53,
- 3,48,24,0,53,54,5,1,0,0,54,55,6,0,-1,0,55,60,1,0,0,0,56,57,3,48,24,0,57,
- 58,6,0,-1,0,58,60,1,0,0,0,59,52,1,0,0,0,59,56,1,0,0,0,60,1,1,0,0,0,61,
- 62,5,2,0,0,62,63,3,0,0,0,63,64,6,1,-1,0,64,66,1,0,0,0,65,61,1,0,0,0,66,
- 67,1,0,0,0,67,65,1,0,0,0,67,68,1,0,0,0,68,78,1,0,0,0,69,70,5,2,0,0,70,
- 71,3,6,3,0,71,72,6,1,-1,0,72,74,1,0,0,0,73,69,1,0,0,0,74,75,1,0,0,0,75,
- 73,1,0,0,0,75,76,1,0,0,0,76,78,1,0,0,0,77,65,1,0,0,0,77,73,1,0,0,0,78,
- 3,1,0,0,0,79,80,3,0,0,0,80,84,6,2,-1,0,81,82,3,2,1,0,82,83,6,2,-1,0,83,
- 85,1,0,0,0,84,81,1,0,0,0,84,85,1,0,0,0,85,5,1,0,0,0,86,87,5,3,0,0,87,88,
- 3,4,2,0,88,89,6,3,-1,0,89,95,1,0,0,0,90,91,5,4,0,0,91,92,3,4,2,0,92,93,
- 6,3,-1,0,93,95,1,0,0,0,94,86,1,0,0,0,94,90,1,0,0,0,95,110,1,0,0,0,96,97,
- 5,3,0,0,97,98,3,6,3,0,98,99,6,3,-1,0,99,105,1,0,0,0,100,101,5,4,0,0,101,
- 102,3,6,3,0,102,103,6,3,-1,0,103,105,1,0,0,0,104,96,1,0,0,0,104,100,1,
- 0,0,0,105,110,1,0,0,0,106,107,3,4,2,0,107,108,6,3,-1,0,108,110,1,0,0,0,
- 109,94,1,0,0,0,109,104,1,0,0,0,109,106,1,0,0,0,110,7,1,0,0,0,111,112,3,
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- 0,0,0,1179,929,1,0,0,0,1179,934,1,0,0,0,1179,939,1,0,0,0,1179,944,1,0,
- 0,0,1179,949,1,0,0,0,1179,954,1,0,0,0,1179,959,1,0,0,0,1179,964,1,0,0,
- 0,1179,969,1,0,0,0,1179,974,1,0,0,0,1179,979,1,0,0,0,1179,984,1,0,0,0,
- 1179,989,1,0,0,0,1179,994,1,0,0,0,1179,999,1,0,0,0,1179,1004,1,0,0,0,1179,
- 1009,1,0,0,0,1179,1014,1,0,0,0,1179,1019,1,0,0,0,1179,1024,1,0,0,0,1179,
- 1029,1,0,0,0,1179,1034,1,0,0,0,1179,1039,1,0,0,0,1179,1044,1,0,0,0,1179,
- 1049,1,0,0,0,1179,1054,1,0,0,0,1179,1059,1,0,0,0,1179,1064,1,0,0,0,1179,
- 1069,1,0,0,0,1179,1074,1,0,0,0,1179,1079,1,0,0,0,1179,1084,1,0,0,0,1179,
- 1089,1,0,0,0,1179,1094,1,0,0,0,1179,1099,1,0,0,0,1179,1104,1,0,0,0,1179,
- 1109,1,0,0,0,1179,1114,1,0,0,0,1179,1119,1,0,0,0,1179,1124,1,0,0,0,1179,
- 1129,1,0,0,0,1179,1134,1,0,0,0,1179,1139,1,0,0,0,1179,1144,1,0,0,0,1179,
- 1149,1,0,0,0,1179,1154,1,0,0,0,1179,1159,1,0,0,0,1179,1164,1,0,0,0,1179,
- 1169,1,0,0,0,1179,1174,1,0,0,0,1180,49,1,0,0,0,1181,1182,3,32,16,0,1182,
- 1183,5,0,0,1,1183,1184,6,25,-1,0,1184,51,1,0,0,0,44,59,67,75,77,84,94,
- 104,109,119,129,131,144,150,152,167,169,190,192,225,227,246,253,262,281,
- 297,299,312,314,327,329,346,348,357,365,370,384,394,407,410,417,425,429,
- 432,1179
+ 1173,6,24,-1,0,1173,1210,1,0,0,0,1174,1175,5,192,0,0,1175,1176,3,40,20,
+ 0,1176,1177,5,31,0,0,1177,1178,6,24,-1,0,1178,1210,1,0,0,0,1179,1180,5,
+ 193,0,0,1180,1181,3,40,20,0,1181,1182,5,31,0,0,1182,1183,6,24,-1,0,1183,
+ 1210,1,0,0,0,1184,1185,5,194,0,0,1185,1186,3,40,20,0,1186,1187,5,31,0,
+ 0,1187,1188,6,24,-1,0,1188,1210,1,0,0,0,1189,1190,5,195,0,0,1190,1191,
+ 3,40,20,0,1191,1192,5,31,0,0,1192,1193,6,24,-1,0,1193,1210,1,0,0,0,1194,
+ 1195,5,196,0,0,1195,1196,3,40,20,0,1196,1197,5,31,0,0,1197,1198,6,24,-1,
+ 0,1198,1210,1,0,0,0,1199,1200,5,197,0,0,1200,1201,3,40,20,0,1201,1202,
+ 5,31,0,0,1202,1203,6,24,-1,0,1203,1210,1,0,0,0,1204,1205,5,198,0,0,1205,
+ 1206,3,40,20,0,1206,1207,5,31,0,0,1207,1208,6,24,-1,0,1208,1210,1,0,0,
+ 0,1209,446,1,0,0,0,1209,448,1,0,0,0,1209,450,1,0,0,0,1209,452,1,0,0,0,
+ 1209,454,1,0,0,0,1209,456,1,0,0,0,1209,458,1,0,0,0,1209,460,1,0,0,0,1209,
+ 465,1,0,0,0,1209,469,1,0,0,0,1209,474,1,0,0,0,1209,479,1,0,0,0,1209,484,
+ 1,0,0,0,1209,489,1,0,0,0,1209,494,1,0,0,0,1209,499,1,0,0,0,1209,504,1,
+ 0,0,0,1209,509,1,0,0,0,1209,514,1,0,0,0,1209,519,1,0,0,0,1209,524,1,0,
+ 0,0,1209,529,1,0,0,0,1209,534,1,0,0,0,1209,539,1,0,0,0,1209,544,1,0,0,
+ 0,1209,549,1,0,0,0,1209,554,1,0,0,0,1209,559,1,0,0,0,1209,564,1,0,0,0,
+ 1209,569,1,0,0,0,1209,574,1,0,0,0,1209,579,1,0,0,0,1209,584,1,0,0,0,1209,
+ 589,1,0,0,0,1209,594,1,0,0,0,1209,599,1,0,0,0,1209,604,1,0,0,0,1209,609,
+ 1,0,0,0,1209,614,1,0,0,0,1209,619,1,0,0,0,1209,624,1,0,0,0,1209,629,1,
+ 0,0,0,1209,634,1,0,0,0,1209,639,1,0,0,0,1209,644,1,0,0,0,1209,649,1,0,
+ 0,0,1209,654,1,0,0,0,1209,659,1,0,0,0,1209,664,1,0,0,0,1209,669,1,0,0,
+ 0,1209,674,1,0,0,0,1209,679,1,0,0,0,1209,684,1,0,0,0,1209,689,1,0,0,0,
+ 1209,694,1,0,0,0,1209,699,1,0,0,0,1209,704,1,0,0,0,1209,709,1,0,0,0,1209,
+ 714,1,0,0,0,1209,719,1,0,0,0,1209,724,1,0,0,0,1209,729,1,0,0,0,1209,734,
+ 1,0,0,0,1209,739,1,0,0,0,1209,744,1,0,0,0,1209,749,1,0,0,0,1209,754,1,
+ 0,0,0,1209,759,1,0,0,0,1209,764,1,0,0,0,1209,769,1,0,0,0,1209,774,1,0,
+ 0,0,1209,779,1,0,0,0,1209,784,1,0,0,0,1209,789,1,0,0,0,1209,794,1,0,0,
+ 0,1209,799,1,0,0,0,1209,804,1,0,0,0,1209,809,1,0,0,0,1209,814,1,0,0,0,
+ 1209,819,1,0,0,0,1209,824,1,0,0,0,1209,829,1,0,0,0,1209,834,1,0,0,0,1209,
+ 839,1,0,0,0,1209,844,1,0,0,0,1209,849,1,0,0,0,1209,854,1,0,0,0,1209,859,
+ 1,0,0,0,1209,864,1,0,0,0,1209,869,1,0,0,0,1209,874,1,0,0,0,1209,879,1,
+ 0,0,0,1209,884,1,0,0,0,1209,889,1,0,0,0,1209,894,1,0,0,0,1209,899,1,0,
+ 0,0,1209,904,1,0,0,0,1209,909,1,0,0,0,1209,914,1,0,0,0,1209,919,1,0,0,
+ 0,1209,924,1,0,0,0,1209,929,1,0,0,0,1209,934,1,0,0,0,1209,939,1,0,0,0,
+ 1209,944,1,0,0,0,1209,949,1,0,0,0,1209,954,1,0,0,0,1209,959,1,0,0,0,1209,
+ 964,1,0,0,0,1209,969,1,0,0,0,1209,974,1,0,0,0,1209,979,1,0,0,0,1209,984,
+ 1,0,0,0,1209,989,1,0,0,0,1209,994,1,0,0,0,1209,999,1,0,0,0,1209,1004,1,
+ 0,0,0,1209,1009,1,0,0,0,1209,1014,1,0,0,0,1209,1019,1,0,0,0,1209,1024,
+ 1,0,0,0,1209,1029,1,0,0,0,1209,1034,1,0,0,0,1209,1039,1,0,0,0,1209,1044,
+ 1,0,0,0,1209,1049,1,0,0,0,1209,1054,1,0,0,0,1209,1059,1,0,0,0,1209,1064,
+ 1,0,0,0,1209,1069,1,0,0,0,1209,1074,1,0,0,0,1209,1079,1,0,0,0,1209,1084,
+ 1,0,0,0,1209,1089,1,0,0,0,1209,1094,1,0,0,0,1209,1099,1,0,0,0,1209,1104,
+ 1,0,0,0,1209,1109,1,0,0,0,1209,1114,1,0,0,0,1209,1119,1,0,0,0,1209,1124,
+ 1,0,0,0,1209,1129,1,0,0,0,1209,1134,1,0,0,0,1209,1139,1,0,0,0,1209,1144,
+ 1,0,0,0,1209,1149,1,0,0,0,1209,1154,1,0,0,0,1209,1159,1,0,0,0,1209,1164,
+ 1,0,0,0,1209,1169,1,0,0,0,1209,1174,1,0,0,0,1209,1179,1,0,0,0,1209,1184,
+ 1,0,0,0,1209,1189,1,0,0,0,1209,1194,1,0,0,0,1209,1199,1,0,0,0,1209,1204,
+ 1,0,0,0,1210,49,1,0,0,0,1211,1212,3,32,16,0,1212,1213,5,0,0,1,1213,1214,
+ 6,25,-1,0,1214,51,1,0,0,0,44,59,67,75,77,84,94,104,109,119,129,131,144,
+ 150,152,167,169,190,192,225,227,246,253,262,281,297,299,312,314,327,329,
+ 346,348,357,365,370,384,394,407,410,417,425,429,432,1209
};
public static readonly ATN _ATN =
diff --git a/Sources/AngouriMath/Core/Domains.Classes.cs b/Sources/AngouriMath/Core/Domains.Classes.cs
index 036978347..a0d0a4c38 100644
--- a/Sources/AngouriMath/Core/Domains.Classes.cs
+++ b/Sources/AngouriMath/Core/Domains.Classes.cs
@@ -230,6 +230,22 @@ partial record Binomialf
internal override Domain DefaultCodomain => Domain.Complex;
}
+ partial record Ref
+ {
+ ///
+ public override Domain Codomain { get; protected init; } = Domain.Real;
+ ///
+ internal override Domain DefaultCodomain => Domain.Real;
+ }
+
+ partial record Imf
+ {
+ ///
+ public override Domain Codomain { get; protected init; } = Domain.Real;
+ ///
+ internal override Domain DefaultCodomain => Domain.Real;
+ }
+
partial record Argf
{
// An angle, whatever it is the angle of.
diff --git a/Sources/AngouriMath/Core/Entity/Continuous/Entity.Continuous.ComplexParts.Classes.cs b/Sources/AngouriMath/Core/Entity/Continuous/Entity.Continuous.ComplexParts.Classes.cs
index 41b1fb212..c03337d94 100644
--- a/Sources/AngouriMath/Core/Entity/Continuous/Entity.Continuous.ComplexParts.Classes.cs
+++ b/Sources/AngouriMath/Core/Entity/Continuous/Entity.Continuous.ComplexParts.Classes.cs
@@ -58,5 +58,41 @@ private Argf New(Entity arg) =>
///
protected override Entity[] InitDirectChildren() => new[] { Argument };
}
+
+ ///
+ /// The real part Re(z), also written re(z) and real(z): a for
+ /// z = a + b i.
+ ///
+ /// https://github.com/asc-community/AngouriMath/issues/2145
+ public sealed partial record Ref(Entity Argument) : Function, IUnaryNode
+ {
+ ///
+ public Entity NodeChild => Argument;
+
+ private Ref New(Entity arg) =>
+ ReferenceEquals(Argument, arg) ? this : new(arg) { Codomain = Codomain };
+ ///
+ public override Entity Replace(Func func) => func(New(Argument.Replace(func)));
+ ///
+ protected override Entity[] InitDirectChildren() => new[] { Argument };
+ }
+
+ ///
+ /// The imaginary part Im(z), also written im(z) and imag(z): the real
+ /// number b for z = a + b i, not b i.
+ ///
+ /// https://github.com/asc-community/AngouriMath/issues/2145
+ public sealed partial record Imf(Entity Argument) : Function, IUnaryNode
+ {
+ ///
+ public Entity NodeChild => Argument;
+
+ private Imf New(Entity arg) =>
+ ReferenceEquals(Argument, arg) ? this : new(arg) { Codomain = Codomain };
+ ///
+ public override Entity Replace(Func func) => func(New(Argument.Replace(func)));
+ ///
+ protected override Entity[] InitDirectChildren() => new[] { Argument };
+ }
}
}
diff --git a/Sources/AngouriMath/Core/Serialization/Entity.Serialization.cs b/Sources/AngouriMath/Core/Serialization/Entity.Serialization.cs
index 5ce6aeca6..84bf68f21 100644
--- a/Sources/AngouriMath/Core/Serialization/Entity.Serialization.cs
+++ b/Sources/AngouriMath/Core/Serialization/Entity.Serialization.cs
@@ -123,6 +123,8 @@ [EntityJsonConverter] partial record SpecialSet
[EntityJsonConverter] partial record Iversonf;
[EntityJsonConverter] partial record Conjugatef;
[EntityJsonConverter] partial record Argf;
+ [EntityJsonConverter] partial record Ref;
+ [EntityJsonConverter] partial record Imf;
[EntityJsonConverter] partial record Alephf;
[EntityJsonConverter] partial record Erfcf;
[EntityJsonConverter] partial record Erfif;
diff --git a/Sources/AngouriMath/Core/Transformations/Matching/MatchPattern.cs b/Sources/AngouriMath/Core/Transformations/Matching/MatchPattern.cs
index f2da6e17e..43a00d584 100644
--- a/Sources/AngouriMath/Core/Transformations/Matching/MatchPattern.cs
+++ b/Sources/AngouriMath/Core/Transformations/Matching/MatchPattern.cs
@@ -475,6 +475,8 @@ internal abstract bool ETryBuild(
[typeof(Entity.Iversonf)] = (1, static c => new Entity.Iversonf(c[0])),
[typeof(Entity.Conjugatef)] = (1, static c => new Entity.Conjugatef(c[0])),
[typeof(Entity.Argf)] = (1, static c => new Entity.Argf(c[0])),
+ [typeof(Entity.Ref)] = (1, static c => new Entity.Ref(c[0])),
+ [typeof(Entity.Imf)] = (1, static c => new Entity.Imf(c[0])),
[typeof(Entity.Alephf)] = (1, static c => new Entity.Alephf(c[0])),
[typeof(Entity.Erfcf)] = (1, static c => new Entity.Erfcf(c[0])),
[typeof(Entity.Erfif)] = (1, static c => new Entity.Erfif(c[0])),
diff --git a/Sources/AngouriMath/Docs/Contributing/WritingARule.md b/Sources/AngouriMath/Docs/Contributing/WritingARule.md
index dccc8b0c1..e1b42efc4 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 **65** such types.
+pattern used as a **replacement** must be one the library can construct: there are **67** 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 90a83f65a..6a77fa9ee 100644
--- a/Sources/AngouriMath/Docs/Usage/Syntax.md
+++ b/Sources/AngouriMath/Docs/Usage/Syntax.md
@@ -274,7 +274,7 @@ for a symbol or an index past a million); `valuation(n, p)` for the `p`-adic val
exponent of the prime `p` in `n` (`valuation(12, 2)` is `2`, `valuation(12, 5)` is `0`, `+oo` at
`n = 0`, `NaN` where `p` is not prime; `v_p(n)` in LaTeX); `#S` (or `card(S)`) for the number of elements of a set, counted for a finite set of numbers and left as written for an infinite one; `#` binds like a function call, so a set expression needs parentheses (`#(A \/ B)`).
-**Complex conjugate and argument** — `conjugate(z)`, or `conj(z)`, printed `conjugate(z)` and drawn as
+**Complex conjugate, argument and parts** — `conjugate(z)`, or `conj(z)`, printed `conjugate(z)` and drawn as
`\overline{z}`. It is carried through sums, differences, products, quotients and whole powers, so
`conj(a * b + i)` is `-i + conjugate(a) * conjugate(b)`, but not through a root or a logarithm,
whose cuts break it: `conj(sqrt(-1))` is `-i` and `sqrt(conj(-1))` is `i`. What is known to be real
@@ -282,7 +282,9 @@ is its own conjugate: a number, a modulus, and a symbol declared real, `conj(dom
symbol is complex, so `conj(x)` stays as it is. Its derivative in a variable is taken along the
variable's real line: that of `conj(f)` is `conj(f')`. `arg(z)` is the principal argument, in
`(-pi, pi]`, so that `z = abs(z) e^(i arg(z))`: `arg(-1)` is `pi`, `arg(-1 - i)` is `-3/4 * pi`, and
-`arg(0)` has no value
+`arg(0)` has no value. `Re(z)` and `Im(z)`, also written `re` and `im` as in SymPy and `real` and
+`imag` as in MATLAB, are the real and the imaginary part, both real: `Im(3 + 4i)` is `4`. They are carried through sums, differences, and
+products and quotients by a real number, and `Re(conj(z))` is `Re(z)` and `Im(conj(z))` is `-Im(z)`
([#2145](https://github.com/asc-community/AngouriMath/issues/2145)).
**Rounding** — `floor` `ceil` (`ceiling` is accepted on the way in and prints as `ceil`) `round`.
@@ -482,11 +484,10 @@ of them: `ZZ unite QQ` is `QQ`, `BB intersect ZZ` is `{}`, `ZZ* \ ZZ+` is `{ 0 }
`{ x in ZZ : x < 0 }`, `ZZ+ \ PP` is `{ x in ZZ+ : not x in PP }` and `QQ \ ZZ` is
`{ x in QQ : not x in ZZ }`. The tokens take the sign: `ZZ*2` no longer reads as `ZZ * 2`.
-**Refused by name** — `trunc` `conjugate`. AngouriMath has none of these, and each is
-what some other CAS calls a function, so a caller reaches for it. Left alone they would be read as
-products under the rule above and answer silently and wrongly; they raise a parse error naming the
-function instead. `re` and `im` are the same case and are *not* refused, being short enough to be
-somebody's variable.
+**Refused by name** — `trunc`. AngouriMath has no such function, and it is what some other
+CAS calls one, so a caller reaches for it. Left alone it would be read as a product under the rule
+above and answer silently and wrongly; it raises a parse error naming the function instead. Short
+names that could be somebody's variable, such as `beta` or `norm`, are *not* refused.
## `sum` and `product`, which declare a name
diff --git a/Sources/AngouriMath/Functions/Continuous/Differentiation.cs b/Sources/AngouriMath/Functions/Continuous/Differentiation.cs
index f867cfb4c..e929ce184 100644
--- a/Sources/AngouriMath/Functions/Continuous/Differentiation.cs
+++ b/Sources/AngouriMath/Functions/Continuous/Differentiation.cs
@@ -545,6 +545,23 @@ protected override Entity InnerDifferentiate(Variable variable) =>
base.InnerDifferentiate(variable);
}
+ partial record Ref
+ {
+ // Along the real line of the variable, as the conjugate's: re is real-linear, so the
+ // derivative of re(f) is re(f').
+ ///
+ protected override Entity InnerDifferentiate(Variable variable)
+ => IsConstantIn(variable) ? Integer.Zero : new Ref(Argument.DerivativeOver(variable));
+ }
+
+ partial record Imf
+ {
+ // Along the real line of the variable: the derivative of im(f) is im(f').
+ ///
+ protected override Entity InnerDifferentiate(Variable variable)
+ => IsConstantIn(variable) ? Integer.Zero : new Imf(Argument.DerivativeOver(variable));
+ }
+
partial record Conjugatef
{
// Along the real line of the variable, as the modulus's derivative is read below: the
diff --git a/Sources/AngouriMath/Functions/Continuous/Solvers/EquationSolver/InvertNode.Classes.cs b/Sources/AngouriMath/Functions/Continuous/Solvers/EquationSolver/InvertNode.Classes.cs
index 276792180..715984062 100644
--- a/Sources/AngouriMath/Functions/Continuous/Solvers/EquationSolver/InvertNode.Classes.cs
+++ b/Sources/AngouriMath/Functions/Continuous/Solvers/EquationSolver/InvertNode.Classes.cs
@@ -374,6 +374,20 @@ partial record Binomialf
null;
}
+ partial record Ref
+ {
+ // Where the real part is a value is a line, which no list of values of x is. Left unsolved.
+ private protected override IEnumerable? InvertNode(Entity value, Entity x) =>
+ null;
+ }
+
+ partial record Imf
+ {
+ // Where the imaginary part is a value is a line, which no list of values of x is. Left unsolved.
+ private protected override IEnumerable? InvertNode(Entity value, Entity x) =>
+ null;
+ }
+
partial record Argf
{
// Where the argument is a value is a ray, a set of points no list of values of x is.
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 11784cdb5..11aa8b855 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
@@ -537,6 +537,59 @@ private static Entity FallingFactorialOver(Number n, int k)
}
}
+ public partial record Ref
+ {
+ // Defined everywhere on the complex plane.
+ private protected override Entity IntrinsicCondition => Boolean.True;
+
+ // Real-linear, so carried through sums, differences, and products and quotients by a
+ // real number; re(conj z) is re(z). What is known to be real is its own real part, and
+ // has a value exactly where its real part has one.
+ private static Entity? RealPart(Entity argument, bool isExact) => argument switch
+ {
+ Complex number => number.RealPart,
+ _ when Conjugatef.IsKnownReal(argument) => argument,
+ Conjugatef(var z) => new Ref(z).InnerSimplified(isExact),
+ Sumf(var left, var right) => (new Ref(left) + new Ref(right)).InnerSimplified(isExact),
+ Minusf(var left, var right) => (new Ref(left) - new Ref(right)).InnerSimplified(isExact),
+ Mulf(Real factor, var z) => (factor * new Ref(z)).InnerSimplified(isExact),
+ Mulf(var z, Real factor) => (new Ref(z) * factor).InnerSimplified(isExact),
+ Divf(var z, Real divisor) => (new Ref(z) / divisor).InnerSimplified(isExact),
+ _ => null
+ };
+
+ ///
+ protected override Entity InnerSimplify(bool isExact)
+ => ExpandOnOneArgument(Argument, a => RealPart(a, isExact),
+ (@this, a) => ((Ref)@this).New(a), isExact);
+ }
+
+ public partial record Imf
+ {
+ // Defined everywhere on the complex plane.
+ private protected override Entity IntrinsicCondition => Boolean.True;
+
+ // Real-linear as the real part is, and im(conj z) is -im(z). Not 0 for what is known to
+ // be real: a codomain says what a node's values are and not where it has one, and
+ // im(prime(x)) has no value at x = -3.
+ private static Entity? ImaginaryPart(Entity argument, bool isExact) => argument switch
+ {
+ Complex number => number.ImaginaryPart,
+ Conjugatef(var z) => (-new Imf(z)).InnerSimplified(isExact),
+ Sumf(var left, var right) => (new Imf(left) + new Imf(right)).InnerSimplified(isExact),
+ Minusf(var left, var right) => (new Imf(left) - new Imf(right)).InnerSimplified(isExact),
+ Mulf(Real factor, var z) => (factor * new Imf(z)).InnerSimplified(isExact),
+ Mulf(var z, Real factor) => (new Imf(z) * factor).InnerSimplified(isExact),
+ Divf(var z, Real divisor) => (new Imf(z) / divisor).InnerSimplified(isExact),
+ _ => null
+ };
+
+ ///
+ protected override Entity InnerSimplify(bool isExact)
+ => ExpandOnOneArgument(Argument, a => ImaginaryPart(a, isExact),
+ (@this, a) => ((Imf)@this).New(a), isExact);
+ }
+
public partial record Argf
{
// Every angle fits 0 = 0 e^(i t), so arg(0) has no value.
diff --git a/Sources/AngouriMath/Functions/Output/Latex/Latex.Arithmetics.Classes.cs b/Sources/AngouriMath/Functions/Output/Latex/Latex.Arithmetics.Classes.cs
index e35634152..dc4bb28a8 100644
--- a/Sources/AngouriMath/Functions/Output/Latex/Latex.Arithmetics.Classes.cs
+++ b/Sources/AngouriMath/Functions/Output/Latex/Latex.Arithmetics.Classes.cs
@@ -165,6 +165,21 @@ private protected override string LatexizeNode()
=> $@"\operatorname{{erf}}\left({Argument.Latexize()}\right)";
}
+ partial record Ref
+ {
+ // Upright, as ISO 80000-2 writes Re z, rather than the fraktur \Re.
+ ///
+ private protected override string LatexizeNode()
+ => @"\operatorname{Re}\left(" + Argument.Latexize() + @"\right)";
+ }
+
+ partial record Imf
+ {
+ ///
+ private protected override string LatexizeNode()
+ => @"\operatorname{Im}\left(" + Argument.Latexize() + @"\right)";
+ }
+
partial record Argf
{
///
diff --git a/Sources/AngouriMath/Functions/Output/ToString/ToString.Arithmetics.Classes.cs b/Sources/AngouriMath/Functions/Output/ToString/ToString.Arithmetics.Classes.cs
index 3a370cc1f..178fba7f6 100644
--- a/Sources/AngouriMath/Functions/Output/ToString/ToString.Arithmetics.Classes.cs
+++ b/Sources/AngouriMath/Functions/Output/ToString/ToString.Arithmetics.Classes.cs
@@ -140,6 +140,22 @@ public partial record Erff
public override string ToString() => Stringize();
}
+ public partial record Ref
+ {
+ ///
+ private protected override string StringizeNode() => $"Re({Argument.Stringize()})";
+ ///
+ public override string ToString() => Stringize();
+ }
+
+ public partial record Imf
+ {
+ ///
+ private protected override string StringizeNode() => $"Im({Argument.Stringize()})";
+ ///
+ public override string ToString() => Stringize();
+ }
+
public partial record Argf
{
///
diff --git a/Sources/AngouriMath/Functions/Output/ToSympy/ToSympy.Arithmetics.Classes.cs b/Sources/AngouriMath/Functions/Output/ToSympy/ToSympy.Arithmetics.Classes.cs
index fba07cbf1..d48e9ccd5 100644
--- a/Sources/AngouriMath/Functions/Output/ToSympy/ToSympy.Arithmetics.Classes.cs
+++ b/Sources/AngouriMath/Functions/Output/ToSympy/ToSympy.Arithmetics.Classes.cs
@@ -88,6 +88,16 @@ internal override string ToSymPy()
=> $@"sympy.erf({Argument.ToSymPy()})";
}
+ public partial record Ref
+ {
+ internal override string ToSymPy() => $"sympy.re({Argument.ToSymPy()})";
+ }
+
+ public partial record Imf
+ {
+ internal override string ToSymPy() => $"sympy.im({Argument.ToSymPy()})";
+ }
+
public partial record Argf
{
internal override string ToSymPy() => $"sympy.arg({Argument.ToSymPy()})";
diff --git a/Sources/AngouriMath/Functions/Substitute.cs b/Sources/AngouriMath/Functions/Substitute.cs
index 90196cc6c..77fe5d6fa 100644
--- a/Sources/AngouriMath/Functions/Substitute.cs
+++ b/Sources/AngouriMath/Functions/Substitute.cs
@@ -188,6 +188,20 @@ public override Entity Substitute(Entity x, Entity value)
=> this == x ? value : New(Argument.Substitute(x, value));
}
+ partial record Ref
+ {
+ ///
+ public override Entity Substitute(Entity x, Entity value)
+ => this == x ? value : New(Argument.Substitute(x, value));
+ }
+
+ partial record Imf
+ {
+ ///
+ public override Entity Substitute(Entity x, Entity value)
+ => this == x ? value : New(Argument.Substitute(x, value));
+ }
+
partial record Argf
{
///
diff --git a/Sources/AngouriMath/Functions/TreeAnalyzer/RealValued.cs b/Sources/AngouriMath/Functions/TreeAnalyzer/RealValued.cs
index bc77dc0fb..13ba086be 100644
--- a/Sources/AngouriMath/Functions/TreeAnalyzer/RealValued.cs
+++ b/Sources/AngouriMath/Functions/TreeAnalyzer/RealValued.cs
@@ -70,9 +70,9 @@ or Arctanf or Arccotanf or Signumf or Erff or Erfcf or Erfif or Eif or Sif or Sh
// A polygamma function of a whole order is real on the real line between its poles.
case Polygammaf(var order, var argument) when !order.ContainsNode(x):
return IsRealValued(argument, x);
- // A modulus is real whatever it is taken of, and so is an argument; an Iverson
- // bracket is 0 or 1.
- case Absf or Iversonf or Argf:
+ // A modulus is real whatever it is taken of, and so are an argument and a real
+ // and an imaginary part; an Iverson bracket is 0 or 1.
+ case Absf or Iversonf or Argf or Ref or Imf:
return true;
default:
return false;
@@ -157,7 +157,7 @@ or Arctanf or Arccotanf or Signumf or Erff or Erfcf or Erfif or Eif or Sif or Sh
return GatherTheBasesOfRoots(expr.DirectChildren[0], x, bases);
case Polygammaf(var order, var argument) when !order.ContainsNode(x):
return GatherTheBasesOfRoots(argument, x, bases);
- case Absf or Iversonf or Argf:
+ case Absf or Iversonf or Argf or Ref or Imf:
return true;
default:
return false;
diff --git a/Sources/AngouriMath/Functions/TreeAnalyzer/Sort.Classes.cs b/Sources/AngouriMath/Functions/TreeAnalyzer/Sort.Classes.cs
index 995d59e3a..cc8448c3b 100644
--- a/Sources/AngouriMath/Functions/TreeAnalyzer/Sort.Classes.cs
+++ b/Sources/AngouriMath/Functions/TreeAnalyzer/Sort.Classes.cs
@@ -243,6 +243,18 @@ private protected override string SortHashName(SortLevel level)
=> Choice(level, "erf_", "erf_", "erf_");
}
+ public partial record Ref
+ {
+ private protected override string SortHashName(SortLevel level)
+ => Choice(level, "re_", "re_", "re_");
+ }
+
+ public partial record Imf
+ {
+ private protected override string SortHashName(SortLevel level)
+ => Choice(level, "im_", "im_", "im_");
+ }
+
public partial record Argf
{
private protected override string SortHashName(SortLevel level)
diff --git a/Sources/MCP/AngouriMath.Mcp/Parsing.cs b/Sources/MCP/AngouriMath.Mcp/Parsing.cs
index d63090115..2bcc54924 100644
--- a/Sources/MCP/AngouriMath.Mcp/Parsing.cs
+++ b/Sources/MCP/AngouriMath.Mcp/Parsing.cs
@@ -21,11 +21,11 @@ namespace AngouriMath.Mcp;
/// * a trailing number is an EXPONENT, not a factor: `x2` is x², `2(g+e)3` is 2(g+e)³.
/// A model that names a variable `x2`, `v1` or `a0` — completely ordinary naming —
/// gets it silently squared. (MathS.cs documents this on ExplicitParsingOnly.)
-/// * an unknown identifier becomes implicit multiplication: `im(z)` is the product
-/// `im * z`, not the imaginary part. The library refuses some such names by name —
-/// `trunc`, `lcm`, `erf`, `conjugate` and the arc- spellings of the inverse hyperbolics —
-/// so those fail loudly; the rest degrade with nothing said, because refusing every
-/// unknown name is refusing `a(b + c)`.
+/// * an unknown identifier becomes implicit multiplication: `beta(z)` is the product
+/// `beta * z`, not the beta function. The library refuses some such names by name —
+/// `trunc`, the long names of functions to come such as `zeta`, and the arc- spellings of
+/// the inverse hyperbolics — so those fail loudly; the rest degrade with nothing said,
+/// because refusing every unknown name is refusing `a(b + c)`.
///
/// Both produce a valid parse of a DIFFERENT expression, which is the worst failure class
/// available: no exception, plausible answer, wrong. Rather than force strict mode on
@@ -76,8 +76,6 @@ internal static bool IsFunction(string name) => Calls.GetOrAdd(name, static cand
["setsubtraction"] = @"the infix '\' — write 'A \ B'",
["elementin"] = "the infix 'in' — write 'x in A'",
["impl"] = "'->' or 'implies' — write 'a -> b'",
- ["re"] = "not in this grammar; there is no real-part function",
- ["im"] = "not in this grammar; there is no imaginary-part function",
};
// The alphabet the grammar's VARIABLE rule accepts (Core/Antlr/AngouriMath.g): ASCII
diff --git a/Sources/MCP/AngouriMath.Mcp/Resources.cs b/Sources/MCP/AngouriMath.Mcp/Resources.cs
index 4701de5ba..49373ee74 100644
--- a/Sources/MCP/AngouriMath.Mcp/Resources.cs
+++ b/Sources/MCP/AngouriMath.Mcp/Resources.cs
@@ -78,7 +78,7 @@ that every response returns.
**2. An unknown function name becomes a multiplication.**
- `im(z)` is not a function here — it is the product `im * z`. The parse succeeds and
+ `beta(z)` is not a function here — it is the product `beta * z`. The parse succeeds and
produces a different expression. Some names are refused outright, but not every
unknown name can be: refusing them all would refuse `a(b + c)`.
@@ -93,8 +93,8 @@ that every response returns.
`asinh acosh atanh acotanh acoth asech acosech acsch arsh arch arth arcth arcoth
arsch arcsch` — **not** `arcsinh`, which is refused
- `ln log log2 log10 exp pow sqrt cbrt sqr abs signum sign sgn`
- - complex numbers: `conjugate`, also spelled `conj`, and `arg`, the principal argument
- in `(-pi, pi]`
+ - complex numbers: `conjugate`, also spelled `conj`; `arg`, the principal argument
+ 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`
- special functions: `erf erfc erfi Ei li Si Ci Shi Chi`, `digamma(z)` and `polygamma(n, z)`, and `gamma(a, z)`, the
@@ -114,7 +114,6 @@ apply lambda`
|---|---|
| `arcsinh(x)` | **refused.** The inverse hyperbolics are area functions: write `arsinh`, `asinh` or `arsh` |
| `trunc` | refused by name — the library has no such function |
- | `im(z)`, `re(z)` | **silently become `im * z`.** There is no real- or imaginary-part function; write `(z + conj(z))/2` and `(z - conj(z))/(2i)` |
| `elementin(x, A)`, `setsubtraction(A, B)`, `impl(a, b)` | **silently become products.** Use the infix `x in A`, `A \ B`, `a -> b` |
| `union(A, B)`, `intersection(A, B)` | refused: both are indexed, `union(A_i, i in I)`. For two sets write `A \/ B` and `A /\ B` |
| `7 mod 3` | `mod` is FLOORED: `-7 mod 3` is `2`, not `-1` |
diff --git a/Sources/MCP/README.md b/Sources/MCP/README.md
index a53bd3be7..df9c1ca9a 100644
--- a/Sources/MCP/README.md
+++ b/Sources/MCP/README.md
@@ -111,7 +111,7 @@ the dangerous part: a valid parse of a different expression, with a plausible an
- A number after a name is an **exponent**: `x2` is x², and `2(g+e)3` is 2(g+e)³. A variable
named `x2` or `t0` is silently raised to a power.
-- An unknown name before a bracket is a **product**: `im(z)` is `im * z`.
+- An unknown name before a bracket is a **product**: `beta(z)` is `beta * z`.
Both raise a warning, and the `parsed` field always shows what was understood. Whether a name is a
function is asked of the parser itself, by parsing `name(x)`, so the warning cannot fall behind the
diff --git a/Sources/Tests/McpUnitTests/ParsingTest.cs b/Sources/Tests/McpUnitTests/ParsingTest.cs
index 436699843..74f7e0283 100644
--- a/Sources/Tests/McpUnitTests/ParsingTest.cs
+++ b/Sources/Tests/McpUnitTests/ParsingTest.cs
@@ -68,7 +68,7 @@ public void TheSyntaxDocumentNamesEveryFunctionTheGrammarAccepts(string name)
}
[Theory]
- [InlineData("im")]
+ [InlineData("beta")]
[InlineData("Γ")]
[InlineData("e")]
[InlineData("pi")]
diff --git a/Sources/Tests/McpUnitTests/ToolsTest.cs b/Sources/Tests/McpUnitTests/ToolsTest.cs
index e49683e3b..c8fb608a5 100644
--- a/Sources/Tests/McpUnitTests/ToolsTest.cs
+++ b/Sources/Tests/McpUnitTests/ToolsTest.cs
@@ -50,7 +50,7 @@ public void ACorrectSpellingIsNotWarnedAbout(string expression, string parsed)
[Theory]
[InlineData("Γ(x+1)", "Γ * (x + 1)")]
- [InlineData("im(z)", "im * z")]
+ [InlineData("beta(z)", "beta * z")]
public void AnUnknownNameBeforeABracketIsWarnedAboutAsAProduct(string expression, string parsed)
{
var answer = Mcp.Call("am_parse", $$"""{"expression":"{{expression}}"}""");
diff --git a/Sources/Tests/UnitTests/Common/PublicApi.txt b/Sources/Tests/UnitTests/Common/PublicApi.txt
index 67b7591aa..b1d775bb1 100644
--- a/Sources/Tests/UnitTests/Common/PublicApi.txt
+++ b/Sources/Tests/UnitTests/Common/PublicApi.txt
@@ -1230,6 +1230,26 @@ AngouriMath.Entity+Greaterf.ToString() : System.String
AngouriMath.Entity+Greaterf.ctor(AngouriMath.Entity, AngouriMath.Entity)
AngouriMath.Entity+Greaterf.op_Equality(AngouriMath.Entity+Greaterf, AngouriMath.Entity+Greaterf) : System.Boolean
AngouriMath.Entity+Greaterf.op_Inequality(AngouriMath.Entity+Greaterf, AngouriMath.Entity+Greaterf) : System.Boolean
+AngouriMath.Entity+Imf.$() : AngouriMath.Entity+Imf
+AngouriMath.Entity+Imf.Argument { } : AngouriMath.Entity
+AngouriMath.Entity+Imf.Codomain { } : AngouriMath.Core.Domain
+AngouriMath.Entity+Imf.Deconstruct(AngouriMath.Entity&) : System.Void
+AngouriMath.Entity+Imf.EqualityContract { } : System.Type
+AngouriMath.Entity+Imf.Equals(AngouriMath.Entity+Function) : System.Boolean
+AngouriMath.Entity+Imf.Equals(AngouriMath.Entity+Imf) : System.Boolean
+AngouriMath.Entity+Imf.Equals(System.Object) : System.Boolean
+AngouriMath.Entity+Imf.GetHashCode() : System.Int32
+AngouriMath.Entity+Imf.InitDirectChildren() : AngouriMath.Entity[]
+AngouriMath.Entity+Imf.InnerDifferentiate(AngouriMath.Entity+Variable) : AngouriMath.Entity
+AngouriMath.Entity+Imf.InnerSimplify(System.Boolean) : AngouriMath.Entity
+AngouriMath.Entity+Imf.NodeChild { } : AngouriMath.Entity
+AngouriMath.Entity+Imf.PrintMembers(System.Text.StringBuilder) : System.Boolean
+AngouriMath.Entity+Imf.Replace(System.Func) : AngouriMath.Entity
+AngouriMath.Entity+Imf.Substitute(AngouriMath.Entity, AngouriMath.Entity) : AngouriMath.Entity
+AngouriMath.Entity+Imf.ToString() : System.String
+AngouriMath.Entity+Imf.ctor(AngouriMath.Entity)
+AngouriMath.Entity+Imf.op_Equality(AngouriMath.Entity+Imf, AngouriMath.Entity+Imf) : System.Boolean
+AngouriMath.Entity+Imf.op_Inequality(AngouriMath.Entity+Imf, AngouriMath.Entity+Imf) : System.Boolean
AngouriMath.Entity+Impliesf.$() : AngouriMath.Entity+Impliesf
AngouriMath.Entity+Impliesf.Assumption { } : AngouriMath.Entity
AngouriMath.Entity+Impliesf.Codomain { } : AngouriMath.Core.Domain
@@ -2173,6 +2193,26 @@ AngouriMath.Entity+Quantifier.ctor(AngouriMath.Entity+Quantifier)
AngouriMath.Entity+Quantifier.ctor(AngouriMath.Entity, AngouriMath.Entity, AngouriMath.Entity)
AngouriMath.Entity+Quantifier.op_Equality(AngouriMath.Entity+Quantifier, AngouriMath.Entity+Quantifier) : System.Boolean
AngouriMath.Entity+Quantifier.op_Inequality(AngouriMath.Entity+Quantifier, AngouriMath.Entity+Quantifier) : System.Boolean
+AngouriMath.Entity+Ref.$() : AngouriMath.Entity+Ref
+AngouriMath.Entity+Ref.Argument { } : AngouriMath.Entity
+AngouriMath.Entity+Ref.Codomain { } : AngouriMath.Core.Domain
+AngouriMath.Entity+Ref.Deconstruct(AngouriMath.Entity&) : System.Void
+AngouriMath.Entity+Ref.EqualityContract { } : System.Type
+AngouriMath.Entity+Ref.Equals(AngouriMath.Entity+Function) : System.Boolean
+AngouriMath.Entity+Ref.Equals(AngouriMath.Entity+Ref) : System.Boolean
+AngouriMath.Entity+Ref.Equals(System.Object) : System.Boolean
+AngouriMath.Entity+Ref.GetHashCode() : System.Int32
+AngouriMath.Entity+Ref.InitDirectChildren() : AngouriMath.Entity[]
+AngouriMath.Entity+Ref.InnerDifferentiate(AngouriMath.Entity+Variable) : AngouriMath.Entity
+AngouriMath.Entity+Ref.InnerSimplify(System.Boolean) : AngouriMath.Entity
+AngouriMath.Entity+Ref.NodeChild { } : AngouriMath.Entity
+AngouriMath.Entity+Ref.PrintMembers(System.Text.StringBuilder) : System.Boolean
+AngouriMath.Entity+Ref.Replace(System.Func) : AngouriMath.Entity
+AngouriMath.Entity+Ref.Substitute(AngouriMath.Entity, AngouriMath.Entity) : AngouriMath.Entity
+AngouriMath.Entity+Ref.ToString() : System.String
+AngouriMath.Entity+Ref.ctor(AngouriMath.Entity)
+AngouriMath.Entity+Ref.op_Equality(AngouriMath.Entity+Ref, AngouriMath.Entity+Ref) : System.Boolean
+AngouriMath.Entity+Ref.op_Inequality(AngouriMath.Entity+Ref, AngouriMath.Entity+Ref) : System.Boolean
AngouriMath.Entity+Roundf.$() : AngouriMath.Entity+Roundf
AngouriMath.Entity+Roundf.Argument { } : AngouriMath.Entity
AngouriMath.Entity+Roundf.Codomain { } : AngouriMath.Core.Domain
@@ -3296,6 +3336,7 @@ AngouriMath.MathS.I_3 : AngouriMath.Entity+Matrix
AngouriMath.MathS.I_4 : AngouriMath.Entity+Matrix
AngouriMath.MathS.IdentityMatrix(System.Int32) : AngouriMath.Entity+Matrix
AngouriMath.MathS.IdentityMatrix(System.Int32, System.Int32) : AngouriMath.Entity+Matrix
+AngouriMath.MathS.Im(AngouriMath.Entity) : AngouriMath.Entity
AngouriMath.MathS.Implication(AngouriMath.Entity, AngouriMath.Entity) : AngouriMath.Entity
AngouriMath.MathS.IncompleteGamma(AngouriMath.Entity, AngouriMath.Entity) : AngouriMath.Entity
AngouriMath.MathS.Integral(AngouriMath.Entity, AngouriMath.Entity) : AngouriMath.Entity
@@ -3336,6 +3377,7 @@ AngouriMath.MathS.Polygamma(AngouriMath.Entity, AngouriMath.Entity) : AngouriMat
AngouriMath.MathS.Pow(AngouriMath.Entity, AngouriMath.Entity) : AngouriMath.Entity
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.Round(AngouriMath.Entity) : AngouriMath.Entity
AngouriMath.MathS.Scalar(AngouriMath.Entity) : AngouriMath.Entity+Matrix
AngouriMath.MathS.Sec(AngouriMath.Entity) : AngouriMath.Entity
@@ -3482,6 +3524,7 @@ class AngouriMath.Entity+Function
class AngouriMath.Entity+Gcdf
class AngouriMath.Entity+GreaterOrEqualf
class AngouriMath.Entity+Greaterf
+class AngouriMath.Entity+Imf
class AngouriMath.Entity+Impliesf
class AngouriMath.Entity+IncompleteGammaf
class AngouriMath.Entity+Integralf
@@ -3516,6 +3559,7 @@ class AngouriMath.Entity+Primef
class AngouriMath.Entity+Productf
class AngouriMath.Entity+Providedf
class AngouriMath.Entity+Quantifier
+class AngouriMath.Entity+Ref
class AngouriMath.Entity+Roundf
class AngouriMath.Entity+Secantf
class AngouriMath.Entity+Set
diff --git a/Sources/Tests/UnitTests/Convenience/MissingFunctionNamesRefusedTest.cs b/Sources/Tests/UnitTests/Convenience/MissingFunctionNamesRefusedTest.cs
index ef0ef063c..3eecf95d5 100644
--- a/Sources/Tests/UnitTests/Convenience/MissingFunctionNamesRefusedTest.cs
+++ b/Sources/Tests/UnitTests/Convenience/MissingFunctionNamesRefusedTest.cs
@@ -157,16 +157,18 @@ public void TheNamesTheLibraryHasStillParse(string written) =>
Assert.NotNull(written.ToEntity());
///
- /// Deliberately not refused. re and im are the sympy spellings for the
- /// real and imaginary parts and the library has neither, so they misparse the same
- /// way -- but two letters is short enough that a caller may reasonably have a variable
- /// of that name, and refusing would break their expression to fix nobody's. They are
- /// left, and pinned here so the choice is visible rather than an oversight.
+ /// re and im were deliberately not refused while the library had neither: two
+ /// letters is short enough to be somebody's variable, and refusing them would have broken an
+ /// expression to fix nobody's. They are the real and the imaginary part now, and the name
+ /// without a bracket is still a variable.
+ /// https://github.com/asc-community/AngouriMath/issues/2145
///
[Theory]
- [InlineData("re(x)", "re * x")]
- [InlineData("im(x)", "im * x")]
- public void TheTwoLetterNamesAreLeftAsProducts(string written, string expected) =>
- Assert.Equal(expected.ToEntity(), written.ToEntity());
+ [InlineData("re(x)", typeof(Entity.Ref))]
+ [InlineData("im(x)", typeof(Entity.Imf))]
+ [InlineData("re * x", typeof(Entity.Mulf))]
+ [InlineData("im + x", typeof(Entity.Sumf))]
+ public void TheTwoLetterNamesAreTheRealAndTheImaginaryPart(string written, System.Type node) =>
+ Assert.IsType(node, written.ToEntity());
}
}
diff --git a/Sources/Tests/UnitTests/Convenience/RealAndImaginaryPartTest.cs b/Sources/Tests/UnitTests/Convenience/RealAndImaginaryPartTest.cs
new file mode 100644
index 000000000..3912dff9c
--- /dev/null
+++ b/Sources/Tests/UnitTests/Convenience/RealAndImaginaryPartTest.cs
@@ -0,0 +1,127 @@
+//
+// 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;
+using AngouriMath.Extensions;
+using Xunit;
+using static AngouriMath.Entity;
+using static AngouriMath.Entity.Number;
+
+namespace AngouriMath.Tests.Convenience
+{
+ ///
+ /// The real part Re(z) and the imaginary part Im(z), written as Mathematica, Maple
+ /// and ISO 80000-2 write them, and also as SymPy's re and im and MATLAB's
+ /// real and imag. The lower-case names were read as products, re(z) being
+ /// re * z.
+ /// #2145
+ ///
+ [Trait("Area", "Convenience")]
+ public sealed class RealAndImaginaryPartTest
+ {
+ [Fact]
+ public void BothNamesOfEachAreTheNode()
+ {
+ Assert.Equal(new Ref("z"), "Re(z)".ToEntity());
+ Assert.Equal(new Ref("z"), "re(z)".ToEntity());
+ Assert.Equal(new Ref("z"), "real(z)".ToEntity());
+ Assert.Equal(new Imf("z"), "Im(z)".ToEntity());
+ Assert.Equal(new Imf("z"), "im(z)".ToEntity());
+ Assert.Equal(new Imf("z"), "imag(z)".ToEntity());
+ }
+
+ /// The imaginary part is a real number: im(3 + 4i) is 4, not 4i.
+ [Theory]
+ [InlineData("re(3 + 4i)", "3")]
+ [InlineData("im(3 + 4i)", "4")]
+ [InlineData("re(-i)", "0")]
+ [InlineData("im(-i)", "-1")]
+ [InlineData("re(5/2)", "5/2")]
+ [InlineData("im(5/2)", "0")]
+ public void ANumberIsTakenApart(string written, string expected)
+ => Assert.Equal(expected.ToEntity().InnerSimplified, written.ToEntity().InnerSimplified);
+
+ ///
+ /// Both are real-linear: carried through sums, differences, and products and quotients by a
+ /// real number. The conjugate keeps the real part and turns the imaginary one.
+ ///
+ [Theory]
+ [InlineData("re(a + b) - re(a) - re(b)")]
+ [InlineData("im(a - b) - im(a) + im(b)")]
+ [InlineData("re(3 z) - 3 re(z)")]
+ [InlineData("im(z / 2) - im(z) / 2")]
+ [InlineData("re(conj(z)) - re(z)")]
+ [InlineData("im(conj(z)) + im(z)")]
+ public void TheyAreRealLinear(string identity)
+ => Assert.Equal(Integer.Zero, identity.Simplify());
+
+ ///
+ /// Not through a product of two symbols, whose real part is re(a) re(b) - im(a) im(b)
+ /// and not re(a) re(b), and not through i, which turns one part into the other.
+ ///
+ [Theory]
+ [InlineData("re(a * b)")]
+ [InlineData("im(i * z)")]
+ public void TheyAreNotCarriedThroughAComplexFactor(string written)
+ => Assert.True(written.ToEntity().InnerSimplified is Ref or Imf);
+
+ ///
+ /// What is known to be real is its own real part, and has a value exactly where that has
+ /// one. Its imaginary part is not taken as 0: im(prime(x)) has no value at
+ /// x = -3, where 0 would have one.
+ ///
+ [Fact]
+ public void WhatIsKnownToBeRealIsItsOwnRealPart()
+ {
+ Assert.Equal("abs(z)".ToEntity(), "re(abs(z))".ToEntity().InnerSimplified);
+ Assert.Equal("domain(x, RR)".ToEntity(), "re(domain(x, RR))".ToEntity().InnerSimplified);
+ Assert.IsType("im(prime(x))".ToEntity().Simplify());
+ Assert.IsType[("re(z)".ToEntity().InnerSimplified);
+ }
+
+ /// z = re(z) + i im(z), evaluated at a point in each quadrant.
+ [Theory]
+ [InlineData(3, 4)]
+ [InlineData(-3, 4)]
+ [InlineData(-3, -4)]
+ [InlineData(3, -4)]
+ public void ThePartsGiveBackTheNumber(int re, int im)
+ {
+ var z = Complex.Create(re, im);
+ var back = "re(z) + i * im(z) - z".ToEntity().Substitute("z", z).EvalNumerical();
+ Assert.Equal(Integer.Zero, back);
+ }
+
+ [Fact]
+ public void BothAreReal()
+ {
+ Assert.Equal(Domain.Real, "re(z)".ToEntity().Codomain);
+ Assert.Equal(Domain.Real, "im(z)".ToEntity().Codomain);
+ }
+
+ /// Along the real line of the variable both commute with the derivative.
+ [Fact]
+ public void TheDerivativeIsThePartOfTheDerivative()
+ {
+ Assert.Equal(Integer.Zero, ("derivative(re(x^2 + i x), x)".ToEntity() - "2 re(x)".ToEntity()).Simplify());
+ Assert.Equal(Integer.Zero, ("derivative(im(x^2 + i x), x)".ToEntity() - "2 im(x) + 1".ToEntity()).Simplify());
+ }
+
+ [Theory]
+ [InlineData("re(z)", "Re(z)", @"\operatorname{Re}\left(z\right)", "sympy.re(z)")]
+ [InlineData("Im(z)", "Im(z)", @"\operatorname{Im}\left(z\right)", "sympy.im(z)")]
+ public void TheyAreWrittenByName(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/SyntaxDocumentedTest.cs b/Sources/Tests/UnitTests/Convenience/SyntaxDocumentedTest.cs
index ae67cd69a..9000e3b6d 100644
--- a/Sources/Tests/UnitTests/Convenience/SyntaxDocumentedTest.cs
+++ b/Sources/Tests/UnitTests/Convenience/SyntaxDocumentedTest.cs
@@ -325,10 +325,13 @@ public void IntegralTakesNoOrder()
Assert.IsType("derivative(f, x, 2)".ToEntity());
}
- /// Short enough to be somebody's variable, so read as a product and not refused.
+ ///
+ /// Short enough to be somebody's variable, so read as a product and not refused. re and
+ /// im were the examples until they became the real and the imaginary part.
+ ///
[Theory]
- [InlineData("re(x)")]
- [InlineData("im(x)")]
+ [InlineData("beta(x)")]
+ [InlineData("norm(x)")]
public void ANameTheLibraryDoesNotRefuseIsAProduct(string written) =>
Assert.IsType(written.ToEntity());
diff --git a/Sources/Tests/UnitTests/Core/Transformations/RuleAuthoringGuideTest.cs b/Sources/Tests/UnitTests/Core/Transformations/RuleAuthoringGuideTest.cs
index 30afb5c2f..13c83ef4a 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(65, MatchPattern.BuildableNodeTypes.Count, "the number of buildable node types");
+ => Stated(67, MatchPattern.BuildableNodeTypes.Count, "the number of buildable node types");
[Fact]
public void ReplacementAPatternOrCode()
]