Rename Latexise to Latexize, so the library has one spelling

`Stringize` and `Latexise` do the same kind of thing, are declared next to
each other and are overridden per node in the same files -- one spelled
American, one British. Everything else public is `-ize`: `Stringize`,
`Factorize`, `Serialize`, `Deserialize`. `Latexise` and `ILatexiseable` were
the only members a caller had to remember the other spelling for.

Renamed across every surface the name reaches: the method and its 61
overrides, `ILatexiseable`, the `string` extension, `MathS.Latex`'s
parameter, the native entry point `entity_latexise`, the C++ wrapper's
`Entity::Latexise`, the F# `latexise`, and the notebook extension. No
forwarding member is left behind -- this release removed 28 members that
accumulated exactly that way, so adding a permanent one here would undo that.

`Sources/Samples/SampleNet5` is deliberately untouched: it compiles against
`PackageReference AngouriMath 1.4.0`, not against this source, so the old
name is correct there until it is repointed at 2.0.

`MathS.Quantum.Factorise` keeps its spelling. Renaming it to `Factorize`
would give the library two unrelated public `Factorize` methods, which is
worse than the inconsistency; it wants a distinguishing name instead, and
that is not decided here.

Also corrects a claim in BREAKING-CHANGES.md that nothing parses LaTeX.
CSharpMath does, which is what #822
established and what AGENTS.md already says.

Co-Authored-By: Claude Opus 5 (1M context) <noreply@anthropic.com>

Author: Rafael-SOWNet

AGENTS.md

@@ -92,16 +92,16 @@ printed with `if` came back as a product with `if` read as an undeclared variabl
 usual notation is not in the grammar, print the function call the parser does have.
 `StringizeRoundTripTest` is where that is enforced; add to it when you add a node.
 
-**`Latexise` has a round trip too, and it is enforced in someone else's repository.**
+**`Latexize` has a round trip too, and it is enforced in someone else's repository.**
 [CSharpMath.Evaluation](https://github.com/verybadcat/CSharpMath/blob/master/CSharpMath.Evaluation/Evaluation.cs)
 reads LaTeX back into an `Entity`, and says so in its own source: *"CSharpMath must handle all LaTeX
-coming from AngouriMath or a bug is present!"* So a change to what `Latexise` emits — a new node, a
+coming from AngouriMath or a bug is present!"* So a change to what `Latexize` emits — a new node, a
 different command, a changed bracketing — can break a downstream project, and no test here will say
 so.
 
 That is weaker than `Stringize`'s contract, not stronger. `StringizeRoundTripTest` fails in this
 repository the moment the printed form stops parsing; the LaTeX contract fails as a bug report from
-someone else, months later. When you change `Latexise` output, check it against CSharpMath and open
+someone else, months later. When you change `Latexize` output, check it against CSharpMath and open
 a PR there as well ([#822](https://github.com/asc-community/AngouriMath/issues/822)).
 
 The syntax the parser accepts is written down in
@@ -217,7 +217,7 @@ the *basis* is, and it is made differently on purpose:
 
 | | basis | why |
 |---|---|---|
-| quantum | `Entity`-backed | the state is then an ordinary expression, so `Simplify`, `Substitute`, `Latexise` and the rest work on it without anything being taught about quantum |
+| quantum | `Entity`-backed | the state is then an ordinary expression, so `Simplify`, `Substitute`, `Latexize` and the rest work on it without anything being taught about quantum |
 | polynomials, series | a generic `TBasis` struct | exponent vectors never enter the expression tree, and the internal layers stay allocation-free and type-safe |
 
 One generic spine, instantiated twice. That is less tidy than picking a single answer, and the

BREAKING-CHANGES.md

@@ -52,6 +52,7 @@ read first.
 | loud | `floor(x)`, `ceil(x)`, `ceiling(x)` | `UnrecognizedFunctionParseException` | the functions |
 | loud | `round(x)`, `min(a, b)`, `max(a, b)`, `gcd(a, b)` | `UnrecognizedFunctionParseException` | the functions |
 | loud | 28 members deprecated since 1.x | obsolete but present | removed |
+| loud | `Latexise`, `ILatexiseable`, `entity_latexise` | the British spelling | `Latexize`, `ILatexizeable`, `entity_latexize` |
 | loud | the target frameworks | `net7.0;netstandard2.0` | `netstandard2.0;net8.0;net10.0` |
 | **silent** | `abs(x) = c` for a negative `c` | a set of non-solutions | the empty set |
 
@@ -118,6 +119,42 @@ right answer. Code written against the old names was wrong in the same way.
 [#632](https://github.com/asc-community/AngouriMath/issues/632), PR
 [#664](https://github.com/asc-community/AngouriMath/pull/664).
 
+### `Latexise` is now `Latexize`
+
+The library serialises a node to text two ways, and spelled them in two languages:
+
+| | was | is |
+|---|---|---|
+| the method | `Latexise()` | `Latexize()` |
+| the interface | `ILatexiseable` | `ILatexizeable` |
+| the string extension | `"x + 1".Latexise()` | `"x + 1".Latexize()` |
+| the C# helper | `MathS.Latex(ILatexiseable)` | `MathS.Latex(ILatexizeable)` |
+| the native entry point | `entity_latexise` | `entity_latexize` |
+| the C++ method | `Entity::Latexise()` | `Entity::Latexize()` |
+| the F# function | `latexise` | `latexize` |
+
+Everything else in the public surface is `-ize` — `Stringize`, `Factorize`, `Serialize`,
+`Deserialize` — so `Latexise` and its interface were the only members a caller had to remember the
+other spelling for. `Stringize` and `Latexise` do the same kind of thing and sit next to each other
+in every file that has either, which is what made the split spelling costly rather than merely
+untidy.
+
+**What breaks.** Every call, every override, and every implementation of the interface. There is no
+forwarding member: this release is the one that removed 28 members that accumulated as forwarders,
+so adding a permanent one here would undo that on the same day. The compiler reports each site, and
+the fix is mechanical.
+
+`MathS.Quantum.Factorise` keeps its spelling for now. Renaming it to `Factorize` would give the
+library two public `Factorize` methods doing unrelated things — expression factoring on `Entity`,
+tensor factorisation on a quantum state — which is a worse outcome than the inconsistency. It wants
+a distinguishing name rather than a spelling change, and that is not decided here.
+
+**Downstream.** [`CSharpMath.Evaluation`](https://github.com/verybadcat/CSharpMath) reads LaTeX
+produced here back into an `Entity` and calls this method. It is unaffected until it moves to 2.0,
+at which point it needs the new name.
+
+[#840](https://github.com/asc-community/AngouriMath/issues/840).
+
 ---
 
 ## Parsing
@@ -312,7 +349,10 @@ This one is worth reading twice if you parse printed output, because the misread
 ordinary number: every root of a trigonometric equation prints through this path, and
 `cos(x)^2 + sin(x) = 0` returns roots that are exact as entities and were not as text.
 
-`Latexise` is under no such obligation, since nothing parses LaTeX, and is unaffected.
+`Latexize` is unaffected by this change. Its output is under a weaker obligation, not none:
+nothing in this repository parses LaTeX back, but [`CSharpMath.Evaluation`](https://github.com/verybadcat/CSharpMath)
+does, so a change to what it emits can break a downstream project with no test here to say so
+([#822](https://github.com/asc-community/AngouriMath/issues/822)).
 
 The syntax the parser accepts is now written down in
 [`Sources/AngouriMath/Docs/Usage/Syntax.md`](Sources/AngouriMath/Docs/Usage/Syntax.md).

README.md

@@ -264,7 +264,7 @@ Console.WriteLine("x^2 + x + a".SolveEquation("x"));
 Under developing now and forever (always available)
 ```cs
 Entity expr = "(sin(x)^2 - sin(x) + a)(b - x)((-3) * x + 2 + 3 * x ^ 2 + (x + (-3)) * x ^ 3)";
-Console.WriteLine(expr.SolveEquation("x").Latexise());
+Console.WriteLine(expr.SolveEquation("x").Latexize());
 ```
 <img src="https://render.githubusercontent.com/render/math?math=\left\{-\left(-\arcsin\left(\frac{1-\sqrt{1-4\times a}}{2}\right)-2\times \pi\times n_{1}\right),-\left(-\pi--\arcsin\left(\frac{1-\sqrt{1-4\times a}}{2}\right)-2\times \pi\times n_{1}\right),-\left(-\arcsin\left(\frac{1%2B\sqrt{1-4\times a}}{2}\right)-2\times \pi\times n_{1}\right),-\left(-\pi--\arcsin\left(\frac{1%2B\sqrt{1-4\times a}}{2}\right)-2\times \pi\times n_{1}\right),\frac{-b}{-1},-i,i,1,2\right\}">
 
@@ -297,7 +297,7 @@ var system = MathS.Equations(
     "cos(x2 + 1)^2 + 3y",
     "y * (-1) + 4cos(x2 + 1)"
 );
-Console.WriteLine(system.Latexise());
+Console.WriteLine(system.Latexize());
 var solutions = system.Solve("x", "y");
 Console.WriteLine(solutions);
 ```
@@ -334,10 +334,10 @@ WriteLine("x^2 + a x".Integrate("x").InnerSimplified);
 
 There are four types of sets:
 ```cs
-WriteLine("{ 1, 2 }".Latexise());
-WriteLine("[3; +oo)".Latexise());
-WriteLine("RR".Latexise());
-WriteLine("{ x : x^8 + a x < 0 }".Latexise());
+WriteLine("{ 1, 2 }".Latexize());
+WriteLine("[3; +oo)".Latexize());
+WriteLine("RR".Latexize());
+WriteLine("{ x : x^8 + a x < 0 }".Latexize());
 ```
 
 <img src="https://render.githubusercontent.com/render/math?math=\left\{ 1, 2 \right\}">
@@ -347,9 +347,9 @@ WriteLine("{ x : x^8 + a x < 0 }".Latexise());
 
 And there operators:
 ```cs
-WriteLine(@"A \/ B".Latexise());
-WriteLine(@"A /\ B".Latexise());
-WriteLine(@"A \ B".Latexise());
+WriteLine(@"A \/ B".Latexize());
+WriteLine(@"A /\ B".Latexize());
+WriteLine(@"A \ B".Latexize());
 ```
 
 <img src="https://render.githubusercontent.com/render/math?math=A\cup B">
@@ -363,7 +363,7 @@ WriteLine(@"A \ B".Latexise());
 You can build LaTeX with AngouriMath:
 ```cs
 var expr = "x ^ y + sqrt(x) + integral(sqrt(x) / a, x, 1) + derive(sqrt(x) / a, x, 1) + limit(sqrt(x) / a, x, +oo)";
-Console.WriteLine(expr.Latexise());
+Console.WriteLine(expr.Latexize());
 >>> {x}^{y}+\sqrt{x}+\int \left[\frac{\sqrt{x}}{a}\right] dx+\frac{d\left[\frac{\sqrt{x}}{a}\right]}{dx}+\lim_{x\to \infty } \left[\frac{\sqrt{x}}{a}\right]
 ```
 <img src="https://render.githubusercontent.com/render/math?math={x}^{y}%2B\sqrt{x}%2B\int\left[\frac{\sqrt{x}}{a}\right]dx%2B\frac{d\left[\frac{\sqrt{x}}{a}\right]}{dx}%2B\lim_{x\to\infty}\left[\frac{\sqrt{x}}{a}\right]">

Sources/AngouriMath/Convenience/AngouriMathExtensions.cs

@@ -279,7 +279,7 @@ public static Complex ToNumber(this NumericsComplex complex)
         /// Builds a LaTeX code from an expression
         /// </summary>
         /// <returns>A <see cref="string"/> which can be rendered into pretty output</returns>
-        public static string Latexise(this string str) => str.ToEntity().Latexise();
+        public static string Latexize(this string str) => str.ToEntity().Latexize();
 
         /// <summary>
         /// Compiles an expression into a special compiled code that runs via

Sources/AngouriMath/Convenience/MathS.cs

@@ -3162,7 +3162,7 @@ public static IEnumerable<Entity> TaylorTerms(Entity expr, params (Variable expr
         /// var inCyrillic = Var("Абаваола");
         /// </code>
         /// Underscore "_" allows indexing. Greek letter names (e. g.
-        /// "alpha") will be latexised as Greek letter (but other than that,
+        /// "alpha") will be latexized as Greek letter (but other than that,
         /// will appear as "alpha" in other places).
         /// </example>
         public static Variable Var(string name) => name;
@@ -3184,7 +3184,7 @@ public static IEnumerable<Entity> TaylorTerms(Entity expr, params (Variable expr
         /// var inCyrillic = Var("Абаваола");
         /// </code>
         /// Underscore "_" allows indexing. Greek letter names (e. g.
-        /// "alpha") will be latexised as Greek letter (but other than that,
+        /// "alpha") will be latexized as Greek letter (but other than that,
         /// will appear as "alpha" in other places).
         /// </example>
         public static (Variable, Variable) Var(string name1, string name2) => (Var(name1), Var(name2));
@@ -3206,7 +3206,7 @@ public static IEnumerable<Entity> TaylorTerms(Entity expr, params (Variable expr
         /// var inCyrillic = Var("Абаваола");
         /// </code>
         /// Underscore "_" allows indexing. Greek letter names (e. g.
-        /// "alpha") will be latexised as Greek letter (but other than that,
+        /// "alpha") will be latexized as Greek letter (but other than that,
         /// will appear as "alpha" in other places).
         /// </example>
         public static (Variable, Variable, Variable) Var(string name1, string name2, string name3)
@@ -3231,7 +3231,7 @@ public static (Variable, Variable, Variable) Var(string name1, string name2, str
         /// var inCyrillic = Var("Абаваола");
         /// </code>
         /// Underscore "_" allows indexing. Greek letter names (e. g.
-        /// "alpha") will be latexised as Greek letter (but other than that,
+        /// "alpha") will be latexized as Greek letter (but other than that,
         /// will appear as "alpha" in other places).
         /// </example>
         public static (Variable, Variable, Variable, Variable) Var(string name1, string name2, string name3, string name4)
@@ -3256,7 +3256,7 @@ public static (Variable, Variable, Variable, Variable) Var(string name1, string
         /// var inCyrillic = Var("Абаваола");
         /// </code>
         /// Underscore "_" allows indexing. Greek letter names (e. g.
-        /// "alpha") will be latexised as Greek letter (but other than that,
+        /// "alpha") will be latexized as Greek letter (but other than that,
         /// will appear as "alpha" in other places).
         /// </example>
         public static (Variable, Variable, Variable, Variable, Variable) Var(string name1, string name2, string name3, string name4, string name5)
@@ -3984,7 +3984,7 @@ public static ParsingResult Parse(string source)
         /// <returns>
         /// The <a href="https://en.wikipedia.org/wiki/LaTeX">LaTeX</a> representation of the argument
         /// </returns>
-        /// <param name="latexiseable">
+        /// <param name="latexizeable">
         /// Any element (<see cref="Entity"/>, <see cref="Set"/>, etc.) that can be represented in LaTeX
         /// </param>
         /// <example>
@@ -4008,7 +4008,7 @@ public static ParsingResult Parse(string source)
         /// \frac{a}{{b}^{\lim_{x\to \infty } \left[\sin\left(x\right)-\frac{{e}^{y}+{e}^{-y}}{2}\right]}}
         /// </code>
         /// </example>
-        public static string Latex(ILatexiseable latexiseable) => latexiseable.Latexise();
+        public static string Latex(ILatexizeable latexizeable) => latexizeable.Latexize();
 
         /// <summary>
         /// <para>All operations for <see cref="Number"/> and its derived classes are available from here.</para>

Sources/AngouriMath/Core/Entity/Entity.Definition.cs

@@ -70,10 +70,10 @@ internal enum Priority
     /// 
     /// Entity expr = "sqrt(a) + integral(sin(x), x)";
     /// Console.WriteLine(expr);
-    /// Console.WriteLine(expr.Latexise());
+    /// Console.WriteLine(expr.Latexize());
     /// Entity expr2 = "a / b ^ limit(sin(x) - cosh(y), x, +oo)";
     /// Console.WriteLine(expr2);
-    /// Console.WriteLine(expr2.Latexise());
+    /// Console.WriteLine(expr2.Latexize());
     /// </code>
     /// Prints
     /// <code>
@@ -83,13 +83,13 @@ internal enum Priority
     /// \frac{a}{{b}^{\lim_{x\to \infty } \left[\sin\left(x\right)-\frac{{e}^{y}+{e}^{-y}}{2}\right]}}
     /// </code>
     /// </example>
-    public interface ILatexiseable
+    public interface ILatexizeable
     { 
         /// <summary>
         /// Converts the object to the LaTeX format
         /// That is, a string that can be later displayed and rendered as LaTeX
         /// </summary>
-        public string Latexise(); 
+        public string Latexize(); 
     }
 }
 
@@ -101,7 +101,7 @@ namespace AngouriMath
     /// Every node, expression, or number is an <see cref="Entity"/>.
     /// However, you cannot create an instance of this class, look for the nested classes instead.
     /// </summary>
-    public abstract partial record Entity : ILatexiseable
+    public abstract partial record Entity : ILatexizeable
     {
         /// <summary>
         /// Returns the array of the direct children. Will be

Sources/AngouriMath/Core/EquationSystem.cs

@@ -17,13 +17,13 @@ namespace AngouriMath.Core
     /// It is a system of arbitrary equations, not only those linear. However,
     /// it is not a system of <see cref="Statement"/>s.
     /// </summary>
-    public sealed class EquationSystem : ILatexiseable
+    public sealed class EquationSystem : ILatexizeable
     {
         private readonly IEnumerable<Entity> equations;
 
         /// <summary>
         /// The equations you pass should not have an <see cref="MathS.Equality"/> node.
-        /// After having created a system of equations, you may solve or latexise it.
+        /// After having created a system of equations, you may solve or latexize it.
         /// </summary>
         /// <param name="equations">
         /// Any <see cref="IEnumerable{T}"/> parameter, such as <see cref="List{T}"/> or <see cref="System.Array"/>.
@@ -40,7 +40,7 @@ public sealed class EquationSystem : ILatexiseable
 
         /// <summary>
         /// The equations you pass should not have an <see cref="MathS.Equality"/> node.
-        /// After having created a system of equations, you may solve or latexise it.
+        /// After having created a system of equations, you may solve or latexize it.
         /// </summary>
         /// <param name="equations">
         /// An <see cref="System.Array"/>
@@ -73,19 +73,19 @@ public sealed class EquationSystem : ILatexiseable
         public Matrix? Solve(params Variable[] vars) => EquationSolver.SolveSystem(equations, vars);
 
         /// <returns>
-        /// Latexised version of the system. It adds
+        /// Latexized version of the system. It adds
         /// zero equality to all the provided expressions
         /// </returns>
-        public string Latexise()
+        public string Latexize()
         {
             using var enumerator = equations.GetEnumerator();
             if (!enumerator.MoveNext())
                 return string.Empty;
-            var firstEquation = enumerator.Current.Latexise() + " = 0";
+            var firstEquation = enumerator.Current.Latexize() + " = 0";
             if (!enumerator.MoveNext())
                 return firstEquation;
             var sb = new StringBuilder(@"\begin{cases}").Append(firstEquation);
-            do sb.Append(@"\\").Append(enumerator.Current.Latexise()).Append(" = 0");
+            do sb.Append(@"\\").Append(enumerator.Current.Latexize()).Append(" = 0");
             while (enumerator.MoveNext());
             sb.Append(@"\end{cases}");
             return sb.ToString();

Sources/AngouriMath/Docs/Contributing/AddingNode.cs

@@ -30,7 +30,7 @@
 /// 3. A few essential methods
 ///     a. InnerEval and InnerSimplify (<see cref="AngouriMath.Entity.Sinf.InnerEval"/> for numerical and <see cref="AngouriMath.Entity.Andf.InnerEval"/> for boolean)
 ///     b. Stringize (<see cref="AngouriMath.Entity.Sinf.Stringize"/>) (and tests to CircleTest.cs)
-///     c. Latexise (<see cref="AngouriMath.Entity.Sinf.Latexise"/>) (and tests to LatexTest.cs)
+///     c. Latexize (<see cref="AngouriMath.Entity.Sinf.Latexize"/>) (and tests to LatexTest.cs)
 ///     d. Limit computation (<see cref="AngouriMath.Entity.Sinf.ComputeLimitDivideEtImpera"/>) (and tests to LimitTest.cs)
 ///     e. Hash for sorting (<see cref="AngouriMath.Entity.Sinf.SortHashName"/>)
 ///     f. Default domain <see cref="AngouriMath.Entity.Sinf.Codomain"/>

Sources/AngouriMath/Docs/Usage/Syntax.md

@@ -16,7 +16,7 @@ form would silently come back as something else.
 **LaTeX output has a round trip too, and it is checked in someone else's repository.**
 [CSharpMath.Evaluation](https://github.com/verybadcat/CSharpMath/blob/master/CSharpMath.Evaluation/Evaluation.cs)
 reads LaTeX back into an `Entity` and says so in its own source — *"CSharpMath must handle all
-LaTeX coming from AngouriMath or a bug is present!"* — so `Latexise` is free to use `\frac`,
+LaTeX coming from AngouriMath or a bug is present!"* — so `Latexize` is free to use `\frac`,
 `\bmod` and the rest, but changing what it emits can break a downstream project and no test here
 will say so ([#822](https://github.com/asc-community/AngouriMath/issues/822)).
 

Sources/AngouriMath/Functions/Continuous/Solvers/EquationSolver/AnalyticalEquationSolver.cs

@@ -15,7 +15,7 @@
 
 namespace AngouriMath
 {
-    partial record Entity : ILatexiseable
+    partial record Entity : ILatexizeable
     {
         /// <summary>
         /// Attempt to find analytical roots of a custom equation.