diff --git a/src/main/java/leekscript/runner/AI.java b/src/main/java/leekscript/runner/AI.java
index 3b538b7f..e69c9246 100644
--- a/src/main/java/leekscript/runner/AI.java
+++ b/src/main/java/leekscript/runner/AI.java
@@ -2738,6 +2738,9 @@ public ArrayLeekValue range(Object value, Object start, Object end, Object strid
 			var stride = longint(strideObject);
 			return ((ArrayLeekValue) value).arraySlice(this, start, end, stride);
 		}
+		if (value instanceof IntervalLeekValue) {
+			return ((IntervalLeekValue) value).range(this, start, end, real(strideObject));
+		}
 		addSystemLog(AILog.ERROR, Error.VALUE_IS_NOT_AN_ARRAY, new Object[] { value });
 		return null;
 	}
@@ -2752,6 +2755,9 @@ public ArrayLeekValue range_start(Object value, Object start, Object strideObjec
 			var stride = longint(strideObject);
 			return array.arraySlice(this, start, null, stride);
 		}
+		if (value instanceof IntervalLeekValue) {
+			return ((IntervalLeekValue) value).range(this, start, null, real(strideObject));
+		}
 		addSystemLog(AILog.ERROR, Error.VALUE_IS_NOT_AN_ARRAY, new Object[] { value });
 		return null;
 	}
@@ -2766,6 +2772,9 @@ public ArrayLeekValue range_end(Object value, Object end, Object strideObject) t
 			var stride = longint(strideObject);
 			return array.arraySlice(this, null, end, stride);
 		}
+		if (value instanceof IntervalLeekValue) {
+			return ((IntervalLeekValue) value).range(this, null, end, real(strideObject));
+		}
 		addSystemLog(AILog.ERROR, Error.VALUE_IS_NOT_AN_ARRAY, new Object[] { value });
 		return null;
 	}
@@ -2779,6 +2788,9 @@ public ArrayLeekValue range_all(Object value, Object strideObject) throws LeekRu
 			var stride = longint(strideObject);
 			return ((ArrayLeekValue) value).arraySlice(this, null, null, stride);
 		}
+		if (value instanceof IntervalLeekValue) {
+			return ((IntervalLeekValue) value).range(this, null, null, real(strideObject));
+		}
 		addSystemLog(AILog.ERROR, Error.VALUE_IS_NOT_AN_ARRAY, new Object[] { value });
 		return null;
 	}
diff --git a/src/main/java/leekscript/runner/LeekFunctions.java b/src/main/java/leekscript/runner/LeekFunctions.java
index 8b8eb97b..5d0a1f46 100644
--- a/src/main/java/leekscript/runner/LeekFunctions.java
+++ b/src/main/java/leekscript/runner/LeekFunctions.java
@@ -239,6 +239,11 @@ public class LeekFunctions {
 		method("intervalUpperBound", "Interval", 1, Type.REAL, new Type[] { Type.INTERVAL }).setMinVersion(4);
 		method("intervalIsEmpty", "Interval", 1, Type.BOOL, new Type[] { Type.INTERVAL }).setMinVersion(4);
 		method("intervalIsBounded", "Interval", 1, Type.BOOL, new Type[] { Type.INTERVAL }).setMinVersion(4);
+		method("intervalIsRightBounded", "Interval", 1, Type.BOOL, new Type[] { Type.INTERVAL }).setMinVersion(4);
+		method("intervalIsLeftBounded", "Interval", 1, Type.BOOL, new Type[] { Type.INTERVAL }).setMinVersion(4);
+		method("intervalMidpoint", "Interval", 3, Type.REAL, new Type[] { Type.INTERVAL }).setMinVersion(4);
+		method("intervalIntersection", "Interval", 3, Type.INTERVAL, new Type[] { Type.INTERVAL, Type.INTERVAL }).setMinVersion(4);
+		method("intervalCombine", "Interval", 3, Type.INTERVAL, new Type[] { Type.INTERVAL, Type.INTERVAL }).setMinVersion(4);
 		method("intervalToArray", "Interval", new CallableVersion[] {
 				new CallableVersion(Type.ARRAY_REAL, new Type[] { Type.INTERVAL, Type.REAL }),
 				new CallableVersion(Type.ARRAY_REAL, new Type[] { Type.INTERVAL}),
diff --git a/src/main/java/leekscript/runner/values/IntervalLeekValue.java b/src/main/java/leekscript/runner/values/IntervalLeekValue.java
index 22fb2c14..6bd050bf 100644
--- a/src/main/java/leekscript/runner/values/IntervalLeekValue.java
+++ b/src/main/java/leekscript/runner/values/IntervalLeekValue.java
@@ -42,11 +42,11 @@ public String toString(AI ai, Set<Object> visited) throws LeekRunException {
 
 		StringBuilder sb = new StringBuilder("[");
 
-		if (isLeftBounded()) {
+		if (intervalIsLeftBounded(ai)) {
 			sb.append(ai.export(from, visited));
 		}
 		sb.append("..");
-		if (isRightBounded()) {
+		if (intervalIsRightBounded(ai)) {
 			sb.append(ai.export(to, visited));
 		}
 
@@ -66,14 +66,14 @@ public boolean intervalIsEmpty(AI ai) {
 	}
 
 	public boolean intervalIsBounded(AI ai) {
-		return isLeftBounded() && isRightBounded();
+		return intervalIsLeftBounded(ai) && intervalIsRightBounded(ai);
 	}
 
-	public boolean isLeftBounded() {
+	public boolean intervalIsLeftBounded(AI ai) {
 		return from != Double.NEGATIVE_INFINITY;
 	}
 
-	public boolean isRightBounded() {
+	public boolean intervalIsRightBounded(AI ai) {
 		return to != Double.POSITIVE_INFINITY;
 	}
 
@@ -83,6 +83,51 @@ public boolean operatorIn(Object value) throws LeekRunException {
 		return from <= valueAsReal && valueAsReal <= to;
 	}
 
+	public double intervalMidpoint(AI ai) throws LeekRunException {
+		if (intervalIsEmpty(ai)) {
+			return Double.NaN;
+		}
+
+		// [a..b]
+		if (intervalIsBounded(ai)) {
+			return (from + to) / 2;
+		}
+		// [a..]
+		if (intervalIsLeftBounded(ai)) {
+			return Double.POSITIVE_INFINITY;
+		}
+		// [..b]
+		if (intervalIsRightBounded(ai)) {
+			return Double.NEGATIVE_INFINITY;
+		}
+		// [..]
+		return Double.NaN;
+	}
+
+	public IntervalLeekValue intervalIntersection(AI ai, IntervalLeekValue interval) throws LeekRunException {
+		if (intervalIsEmpty(ai)) {
+			return new IntervalLeekValue(ai, from, to);
+		}
+
+		if (interval.intervalIsEmpty(ai)) {
+			return new IntervalLeekValue(ai, interval.from, interval.to);
+		}
+
+		return new IntervalLeekValue(ai, Math.max(from, interval.from), Math.min(to, interval.to));
+	}
+
+	public IntervalLeekValue intervalCombine(AI ai, IntervalLeekValue interval) throws LeekRunException {
+		if (intervalIsEmpty(ai)) {
+			return new IntervalLeekValue(ai, interval.from, interval.to);
+		}
+
+		if (interval.intervalIsEmpty(ai)) {
+			return new IntervalLeekValue(ai, from, to);
+		}
+
+		return new IntervalLeekValue(ai, Math.min(from, interval.from), Math.max(to, interval.to));
+	}
+
 	public ArrayLeekValue intervalToArray(AI ai) throws LeekRunException {
 		return intervalToArray(ai, 1);
 	}
@@ -93,7 +138,6 @@ public ArrayLeekValue intervalToArray(AI ai, double step) throws LeekRunExceptio
 			return null;
 		}
 
-		// Operations are added by the array
 		var array = new ArrayLeekValue(ai);
 
 		if (step >= 0.0) {
@@ -110,4 +154,41 @@ public ArrayLeekValue intervalToArray(AI ai, double step) throws LeekRunExceptio
 
 		return array;
 	}
+
+	public ArrayLeekValue range(AI ai, Object start, Object end, double step) throws LeekRunException {
+		if (!intervalIsBounded(ai)) {
+			ai.addSystemLog(AILog.ERROR, Error.CANNOT_ITERATE_UNBOUNDED_INTERVAL, new Object[] { this });
+			return null;
+		}
+
+		if (intervalIsEmpty(ai)) {
+			return new ArrayLeekValue(ai);
+		}
+
+		if (step == 0.0) {
+			step = 1.0;
+		}
+
+		int maxSize = (int) ((to - from) / Math.abs(step)) + 1;
+
+		var startAsInteger = start == null ? 0 : ai.integer(start);
+		var endAsInteger = end == null ? maxSize : ai.integer(end);
+
+		int minIdx = Math.max(0, startAsInteger < 0 ? maxSize + startAsInteger : startAsInteger);
+		int maxIdx = Math.min(maxSize, endAsInteger < 0 ? maxSize + endAsInteger : endAsInteger);
+
+		var array = new ArrayLeekValue(ai);
+
+		for (var i = minIdx; i < maxIdx; ++i) {
+			if (step >= 0) {
+				array.push(ai, from + i * step);
+			} else {
+				array.push(ai, to + i * step);
+			}
+		}
+
+		ai.ops(array.size() * 2);
+
+		return array;
+	}
 }
diff --git a/src/test/java/test/TestInterval.java b/src/test/java/test/TestInterval.java
index da02420f..cd0ec9c2 100644
--- a/src/test/java/test/TestInterval.java
+++ b/src/test/java/test/TestInterval.java
@@ -59,6 +59,16 @@ public void run() throws Exception {
 		code_v4_("return intervalIsBounded([..]);").equals("false");
 		code_v4_("intervalIsBounded([1..2])").ops(3);
 
+		section("Interval.intervalIsLeftBounded");
+		code_v4_("return intervalIsLeftBounded([1..]);").equals("true");
+		code_v4_("return intervalIsLeftBounded([..2]);").equals("false");
+		code_v4_("intervalIsLeftBounded([1..2])").ops(3);
+
+		section("Interval.intervalIsRightBounded");
+		code_v4_("return intervalIsRightBounded([1..]);").equals("false");
+		code_v4_("return intervalIsRightBounded([..2]);").equals("true");
+		code_v4_("intervalIsRightBounded([1..2])").ops(3);
+
 		section("Interval.in");
 		code_v4_("return 1 in [1..2];").equals("true");
 		code_v4_("return 1 in [-1..];").equals("true");
@@ -77,6 +87,38 @@ public void run() throws Exception {
 		section("Interval typing");
 		code_strict_v4_("Interval i = [0..]; return i instanceof Interval").equals("true");
 
+		section("Interval.intervalMidpoint");
+		code_v4_("return intervalMidpoint([1..2]);").equals("1.5");
+		code_v4_("return intervalMidpoint([-10..10]);").equals("0.0");
+		code_v4_("return intervalMidpoint([1..1]);").equals("1.0");
+		code_v4_("return intervalMidpoint([1..0]);").equals("NaN");
+		code_v4_("return intervalMidpoint([..1]);").equals("-Infinity");
+		code_v4_("return intervalMidpoint([1..]);").equals("Infinity");
+		code_v4_("return intervalMidpoint([..]);").equals("NaN");
+		code_v4_("intervalMidpoint([1..2])").ops(5);
+
+		section("Interval.intervalIntersection");
+		code_v4_("return intervalIntersection([1..2], [1..2]);").equals("[1.0..2.0]");
+		code_v4_("return intervalIntersection([1..2], [1..3]);").equals("[1.0..2.0]");
+		code_v4_("return intervalIntersection([1..2], [0..1]);").equals("[1.0..1.0]");
+		code_v4_("return intervalIntersection([1..2], [-1..0]);").equals("[1.0..0.0]");
+		code_v4_("return intervalIntersection([-1..2], [1..]);").equals("[1.0..2.0]");
+		code_v4_("return intervalIntersection([1..2], [..1]);").equals("[1.0..1.0]");
+		code_v4_("return intervalIntersection([1..2], [..]);").equals("[1.0..2.0]");
+		code_v4_("return intervalIntersection([..2], [1..]);").equals("[1.0..2.0]");
+		code_v4_("intervalIntersection([1..2], [1..2])").ops(7);
+
+		section("Interval.intervalCombine");
+		code_v4_("return intervalCombine([1..2], [1..2]);").equals("[1.0..2.0]");
+		code_v4_("return intervalCombine([1..2], [1..3]);").equals("[1.0..3.0]");
+		code_v4_("return intervalCombine([1..2], [0..1]);").equals("[0.0..2.0]");
+		code_v4_("return intervalCombine([1..2], [-1..0]);").equals("[-1.0..2.0]");
+		code_v4_("return intervalCombine([-1..2], [1..]);").equals("[-1.0..]");
+		code_v4_("return intervalCombine([1..2], [..1]);").equals("[..2.0]");
+		code_v4_("return intervalCombine([1..2], [..]);").equals("[..]");
+		code_v4_("return intervalCombine([..2], [1..]);").equals("[..]");
+		code_v4_("intervalCombine([1..2], [1..2])").ops(7);
+
 		section("Interval.intervalToArray()");
 		code_v4_("return intervalToArray([1..2]);").equals("[1.0, 2.0]");
 		code_v4_("return intervalToArray([-2..2]);").equals("[-2.0, -1.0, 0.0, 1.0, 2.0]");
@@ -99,5 +141,17 @@ public void run() throws Exception {
 		code_v4_("return intervalToArray([-10..10], -5);").equals("[10.0, 5.0, 0.0, -5.0, -10.0]");
 		code_v4_("return intervalToArray([1..1], -7);").equals("[1.0]");
 		code_v4_("return intervalToArray([1..0], -2);").equals("[]");
+
+		section("Interval.[start:end:step]");
+		code_v4_("return [1..10][2:4:2];").equals("[5.0, 7.0]");
+		code_v4_("return [1..3][2:4:2];").equals("[]");
+		code_v4_("return [1..3][::2];").equals("[1.0, 3.0]");
+		code_v4_("return [1..3][::-1.5];").equals("[3.0, 1.5]");
+		code_v4_("return [1..10][2:4:-2];").equals("[6.0, 4.0]");
+		code_v4_("return [1..4][::];").equals("[1.0, 2.0, 3.0, 4.0]");
+		code_v4_("return [1..4][-1::];").equals("[4.0]");
+		code_v4_("return [1..4][:-1:];").equals("[1.0, 2.0, 3.0]");
+		code_v4_("return [1..4][2::];").equals("[3.0, 4.0]");
+		code_v4_("return [1..4][:2:];").equals("[1.0, 2.0]");
 	}
 }