diff --git a/core/src/main/java/org/luaj/vm2/libs/ApproxLib$approx_eq.class b/core/src/main/java/org/luaj/vm2/libs/ApproxLib$approx_eq.class
new file mode 100644
index 00000000..db40e971
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diff --git a/core/src/main/java/org/luaj/vm2/libs/ApproxLib.class b/core/src/main/java/org/luaj/vm2/libs/ApproxLib.class
new file mode 100644
index 00000000..fe64491a
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diff --git a/core/src/main/java/org/luaj/vm2/libs/ApproxLib.java b/core/src/main/java/org/luaj/vm2/libs/ApproxLib.java
new file mode 100644
index 00000000..7c8986c6
--- /dev/null
+++ b/core/src/main/java/org/luaj/vm2/libs/ApproxLib.java
@@ -0,0 +1,51 @@
+package org.luaj.vm2.libs;
+
+import org.luaj.vm2.LuaTable;
+import org.luaj.vm2.LuaValue;
+
+/**
+ * Optional helpers for approximate floating-point comparisons.
+ * This deliberately does not change Lua's core equality semantics.
+ */
+public class ApproxLib extends TwoArgFunction {
+
+	private static final double DEFAULT_EPSILON = 1e-9d;
+
+	public LuaValue call(LuaValue modname, LuaValue env) {
+		LuaTable lib = new LuaTable(0, 2);
+		lib.set("eq", new approx_eq());
+		env.set("approx", lib);
+		env.set("approx_eq", lib.get("eq"));
+		return lib;
+	}
+
+	static final class approx_eq extends VarArgFunction {
+		public LuaValue invoke(org.luaj.vm2.Varargs args) {
+			double a = args.checkdouble(1);
+			double b = args.checkdouble(2);
+			double epsilon = args.optdouble(3, DEFAULT_EPSILON);
+			if (epsilon < 0d) {
+				argerror(3, "epsilon must be >= 0");
+			}
+			return LuaValue.valueOf(approxEqual(a, b, epsilon));
+		}
+	}
+
+	public static boolean approxEqual(double a, double b, double epsilon) {
+		if (Double.doubleToLongBits(a) == Double.doubleToLongBits(b)) {
+			return true;
+		}
+		if (Double.isNaN(a) || Double.isNaN(b)) {
+			return false;
+		}
+		if (Double.isInfinite(a) || Double.isInfinite(b)) {
+			return false;
+		}
+		double diff = Math.abs(a - b);
+		if (diff <= epsilon) {
+			return true;
+		}
+		double scale = Math.max(Math.abs(a), Math.abs(b));
+		return diff <= scale * epsilon;
+	}
+}
diff --git a/jse/src/main/java/org/luaj/vm2/libs/jse/LuaStateSync.class b/jse/src/main/java/org/luaj/vm2/libs/jse/LuaStateSync.class
new file mode 100644
index 00000000..7156ad6d
Binary files /dev/null and b/jse/src/main/java/org/luaj/vm2/libs/jse/LuaStateSync.class differ
diff --git a/jse/src/main/java/org/luaj/vm2/libs/jse/LuaStateSync.java b/jse/src/main/java/org/luaj/vm2/libs/jse/LuaStateSync.java
new file mode 100644
index 00000000..1024447a
--- /dev/null
+++ b/jse/src/main/java/org/luaj/vm2/libs/jse/LuaStateSync.java
@@ -0,0 +1,41 @@
+package org.luaj.vm2.libs.jse;
+
+import org.luaj.vm2.LuaValue;
+import org.luaj.vm2.libs.ApproxLib;
+
+/**
+ * Host-side helpers for mirroring Java state into Lua without reacting to
+ * insignificant floating-point drift.
+ */
+public final class LuaStateSync {
+
+	private LuaStateSync() {
+	}
+
+	public static boolean setIfApproxChanged(LuaValue target, LuaValue key, double value, double epsilon) {
+		if (epsilon < 0d) {
+			throw new IllegalArgumentException("epsilon must be >= 0");
+		}
+		LuaValue current = target.get(key);
+		if (current.isnumber() && ApproxLib.approxEqual(current.todouble(), value, epsilon)) {
+			return false;
+		}
+		target.set(key, LuaValue.valueOf(value));
+		return true;
+	}
+
+	public static boolean setIfApproxChanged(LuaValue target, String key, double value, double epsilon) {
+		return setIfApproxChanged(target, LuaValue.valueOf(key), value, epsilon);
+	}
+
+	public static boolean setIfApproxChanged(LuaValue target, int key, double value, double epsilon) {
+		return setIfApproxChanged(target, LuaValue.valueOf(key), value, epsilon);
+	}
+
+	public static boolean approxEqual(double a, double b, double epsilon) {
+		if (epsilon < 0d) {
+			throw new IllegalArgumentException("epsilon must be >= 0");
+		}
+		return ApproxLib.approxEqual(a, b, epsilon);
+	}
+}
diff --git a/jse/src/test/java/org/luaj/vm2/FragmentsTest.java b/jse/src/test/java/org/luaj/vm2/FragmentsTest.java
index 58c6c656..db3455cf 100644
--- a/jse/src/test/java/org/luaj/vm2/FragmentsTest.java
+++ b/jse/src/test/java/org/luaj/vm2/FragmentsTest.java
@@ -32,6 +32,7 @@ import junit.framework.TestCase;
 import junit.framework.TestSuite;
 
 import org.luaj.vm2.libs.jse.JsePlatform;
+import org.luaj.vm2.libs.ApproxLib;
 import org.luaj.vm2.luajc.LuaJC;
 
 /** 
@@ -373,6 +374,22 @@ public class FragmentsTest extends TestSuite {
 				"end\n");
 		}
 
+		public void testApproxEqLibrary() {
+			try {
+				Globals globals = JsePlatform.standardGlobals();
+				globals.load(new ApproxLib());
+				Varargs result = globals.load(
+					"return approx_eq(1.0, 0.9999999995, 1e-8), " +
+					"approx.eq(1.0, 0.9, 1e-8)\n",
+					"approx.lua").invoke();
+				assertEquals(LuaValue.TRUE, result.arg1());
+				assertEquals(LuaValue.FALSE, result.arg(2));
+			} catch (Exception e) {
+				e.printStackTrace();
+				fail(e.toString());
+			}
+		}
+
 		public void testTableMove() {
 			runFragment(
 				LuaValue.varargsOf(new LuaValue[] {
diff --git a/jse/src/test/java/org/luaj/vm2/LuaOperationsTest.java b/jse/src/test/java/org/luaj/vm2/LuaOperationsTest.java
index 84119a57..036ed655 100644
--- a/jse/src/test/java/org/luaj/vm2/LuaOperationsTest.java
+++ b/jse/src/test/java/org/luaj/vm2/LuaOperationsTest.java
@@ -30,6 +30,7 @@ import junit.framework.TestCase;
 import org.luaj.vm2.TypeTest.MyData;
 import org.luaj.vm2.libs.ZeroArgFunction;
 import org.luaj.vm2.libs.jse.JsePlatform;
+import org.luaj.vm2.libs.jse.LuaStateSync;
 
 public class LuaOperationsTest extends TestCase {
 	
@@ -173,4 +174,14 @@ public class LuaOperationsTest extends TestCase {
 			assertEquals( eee, c.call() );
 		}
 	}
+
+	public void testSetIfApproxChanged() {
+		LuaTable target = LuaValue.tableOf();
+		assertTrue(LuaStateSync.setIfApproxChanged(target, "height", 1.0d, 1e-6d));
+		assertEquals(LuaValue.valueOf(1.0d), target.get("height"));
+		assertFalse(LuaStateSync.setIfApproxChanged(target, "height", 0.999999999d, 1e-6d));
+		assertEquals(LuaValue.valueOf(1.0d), target.get("height"));
+		assertTrue(LuaStateSync.setIfApproxChanged(target, "height", 1.1d, 1e-6d));
+		assertEquals(LuaValue.valueOf(1.1d), target.get("height"));
+	}
 }