Added the Mathematics tools as a prototype (#1162)

app/MindWork AI Studio/Tools/Mathematics/MathLimits.cs

@@ -0,0 +1,49 @@
+namespace AIStudio.Tools.Mathematics;
+
+/// <summary>
+/// The limits of the Mathematics tools, in one place.
+/// </summary>
+/// <remarks>
+/// AI Studio also runs on a Raspberry Pi, and AngouriMath cannot stop every computation midway. The
+/// limits keep a single call from taking the device: they bound what is read, what is computed
+/// exactly, and what goes back to the model. "Mathematics" in documentation/Tools.md lists them.
+/// </remarks>
+public static class MathLimits
+{
+    /// <summary>
+    /// The longest expression read, in characters.
+    /// </summary>
+    /// <remarks>
+    /// It also bounds how deeply an expression can nest: 1,000 levels of parentheses at most, which
+    /// the stack of a computation holds, see MathComputationService.
+    /// </remarks>
+    public const int MAX_EXPRESSION_LENGTH = 2_000;
+
+    /// <summary>
+    /// The longest result returned, in characters, for each form of it.
+    /// </summary>
+    public const int MAX_RESULT_LENGTH = 20_000;
+
+    /// <summary>
+    /// The most digits an exact number may have while it is computed.
+    /// </summary>
+    /// <remarks>
+    /// AngouriMath computes an exact power or factorial in full and checks no cancellation meanwhile,
+    /// so MathGuards refuses one which would grow beyond this, before it starts.
+    /// </remarks>
+    public const int MAX_EXACT_DIGITS = 20_000;
+
+    /// <summary>
+    /// The largest exponent of a sum which may be expanded.
+    /// </summary>
+    /// <remarks>
+    /// (x + y)^200 expands in a few milliseconds into about 13,000 characters, while (x + y)^500 runs
+    /// on without checking for cancellation.
+    /// </remarks>
+    public const int MAX_EXPANSION_EXPONENT = 200;
+
+    /// <summary>
+    /// The most significant digits a decimal result may have.
+    /// </summary>
+    public const int MAX_DIGITS = 100;
+}