Add Vectors app

apps/VectorND/DEPS

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+

apps/VectorND/Vectors.v3

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+// 2-dimension single-precision vector.
+type Vector2(x: float, y: float) #unboxed {
+	def add(that: Vector2) -> Vector2 {
+		return Vector2(this.x + that.x, this.y + that.y);
+	}
+	def sub(that: Vector2) -> Vector2 {
+		return Vector2(this.x - that.x, this.y - that.y);
+	}
+	def scale(factor: float) -> Vector2 {
+		return Vector2(this.x * factor, this.y * factor);
+	}
+	def inverse() -> Vector2 {
+		return Vector2(0f - this.x, 0f - this.y);
+	}
+	def dot(that: Vector2) -> float {
+		return this.x * that.x + this.y * that.y;
+	}
+	def unit() -> Vector2 {
+		var len = length();
+		return if(len == 1f, this, scale(1f / len));
+	}
+	def length() -> float {
+		return float.sqrt(this.x * this.x + this.y * this.y);
+	}
+	def cross(that: Vector2) -> float {
+		return this.x * that.y - this.y * that.x;
+	}
+}
+
+// 3-dimension single-precision vector.
+type Vector3(x: float, y: float, z: float) #unboxed {
+	def add(that: Vector3) -> Vector3 {
+		return Vector3(this.x + that.x, this.y + that.y, this.z + that.z);
+	}
+	def sub(that: Vector3) -> Vector3 {
+		return Vector3(this.x - that.x, this.y - that.y, this.z - that.z);
+	}
+	def scale(factor: float) -> Vector3 {
+		return Vector3(this.x * factor, this.y * factor, this.z * factor);
+	}
+	def inverse() -> Vector3 {
+		return Vector3(0f - this.x, 0f - this.y, 0f - this.z);
+	}
+	def dot(that: Vector3) -> float {
+		return this.x * that.x + this.y * that.y + this.z * that.z;
+	}
+	def unit() -> Vector3 {
+		var len = length();
+		return if(len == 1f, this, scale(1f / len));
+	}
+	def length() -> float {
+		return float.sqrt(this.x * this.x + this.y * this.y + this.z * this.z);
+	}
+	def cross(that: Vector3) -> Vector3 {
+		return Vector3(this.y * that.z - this.z * that.y,
+				0f - (this.x * that.z - this.z * that.x),
+				this.x * that.y - this.y * that.x);
+	}
+}