From 48f781fb6e61539ba9d17efcfd9f9e38245cf6c0 Mon Sep 17 00:00:00 2001
From: bculkin2442 <bjculkin@mix.wvu.edu>
Date: Wed, 23 May 2018 16:42:38 -0400
Subject: Refactor package structure

---
 CSMath/src/bezier/BezierPanel.java                 |   8 +-
 CSMath/src/bezier/geom/Bezier.java                 |   4 +-
 .../src/bezier/geom/transform/TDHCombination.java  |  64 +++++++++++
 CSMath/src/bezier/geom/transform/TDHIdentity.java  |  21 ++++
 .../bezier/geom/transform/TDHLineReflection.java   |  68 +++++++++++
 .../bezier/geom/transform/TDHMatrixTransform.java  |  32 ++++++
 .../bezier/geom/transform/TDHPointRotation.java    |  67 +++++++++++
 CSMath/src/bezier/geom/transform/TDHRotation.java  |  57 ++++++++++
 CSMath/src/bezier/geom/transform/TDHScale.java     | 124 +++++++++++++++++++++
 CSMath/src/bezier/geom/transform/TDHShear.java     |  59 ++++++++++
 CSMath/src/bezier/geom/transform/TDHTransform.java |  54 +++++++++
 .../bezier/geom/transform/TDHTransformType.java    |  42 +++++++
 CSMath/src/bezier/geom/transform/TDHTranslate.java |  89 +++++++++++++++
 .../bezier/geom/transform/TDHXAxisReflection.java  |  20 ++++
 .../bezier/geom/transform/TDHYAxisReflection.java  |  20 ++++
 CSMath/src/bezier/transforms/TDHCombination.java   |  64 -----------
 CSMath/src/bezier/transforms/TDHIdentity.java      |  21 ----
 .../src/bezier/transforms/TDHLineReflection.java   |  68 -----------
 .../src/bezier/transforms/TDHMatrixTransform.java  |  32 ------
 CSMath/src/bezier/transforms/TDHPointRotation.java |  67 -----------
 CSMath/src/bezier/transforms/TDHRotation.java      |  57 ----------
 CSMath/src/bezier/transforms/TDHScale.java         | 124 ---------------------
 CSMath/src/bezier/transforms/TDHShear.java         |  59 ----------
 CSMath/src/bezier/transforms/TDHTransform.java     |  54 ---------
 CSMath/src/bezier/transforms/TDHTransformType.java |  42 -------
 CSMath/src/bezier/transforms/TDHTranslate.java     |  89 ---------------
 .../src/bezier/transforms/TDHXAxisReflection.java  |  20 ----
 .../src/bezier/transforms/TDHYAxisReflection.java  |  20 ----
 .../src/bezier/transforms/geom/TDHCombination.java |  64 +++++++++++
 CSMath/src/bezier/transforms/geom/TDHIdentity.java |  21 ++++
 .../bezier/transforms/geom/TDHLineReflection.java  |  68 +++++++++++
 .../bezier/transforms/geom/TDHMatrixTransform.java |  32 ++++++
 .../bezier/transforms/geom/TDHPointRotation.java   |  67 +++++++++++
 CSMath/src/bezier/transforms/geom/TDHRotation.java |  57 ++++++++++
 CSMath/src/bezier/transforms/geom/TDHScale.java    | 124 +++++++++++++++++++++
 CSMath/src/bezier/transforms/geom/TDHShear.java    |  59 ++++++++++
 .../src/bezier/transforms/geom/TDHTransform.java   |  54 +++++++++
 .../bezier/transforms/geom/TDHTransformType.java   |  42 +++++++
 .../src/bezier/transforms/geom/TDHTranslate.java   |  89 +++++++++++++++
 .../bezier/transforms/geom/TDHXAxisReflection.java |  20 ++++
 .../bezier/transforms/geom/TDHYAxisReflection.java |  20 ++++
 CSMath/src/bisection/DualExpr.java                 |  20 ++--
 42 files changed, 1451 insertions(+), 732 deletions(-)
 create mode 100644 CSMath/src/bezier/geom/transform/TDHCombination.java
 create mode 100644 CSMath/src/bezier/geom/transform/TDHIdentity.java
 create mode 100644 CSMath/src/bezier/geom/transform/TDHLineReflection.java
 create mode 100644 CSMath/src/bezier/geom/transform/TDHMatrixTransform.java
 create mode 100644 CSMath/src/bezier/geom/transform/TDHPointRotation.java
 create mode 100644 CSMath/src/bezier/geom/transform/TDHRotation.java
 create mode 100644 CSMath/src/bezier/geom/transform/TDHScale.java
 create mode 100644 CSMath/src/bezier/geom/transform/TDHShear.java
 create mode 100644 CSMath/src/bezier/geom/transform/TDHTransform.java
 create mode 100644 CSMath/src/bezier/geom/transform/TDHTransformType.java
 create mode 100644 CSMath/src/bezier/geom/transform/TDHTranslate.java
 create mode 100644 CSMath/src/bezier/geom/transform/TDHXAxisReflection.java
 create mode 100644 CSMath/src/bezier/geom/transform/TDHYAxisReflection.java
 delete mode 100644 CSMath/src/bezier/transforms/TDHCombination.java
 delete mode 100644 CSMath/src/bezier/transforms/TDHIdentity.java
 delete mode 100644 CSMath/src/bezier/transforms/TDHLineReflection.java
 delete mode 100644 CSMath/src/bezier/transforms/TDHMatrixTransform.java
 delete mode 100644 CSMath/src/bezier/transforms/TDHPointRotation.java
 delete mode 100644 CSMath/src/bezier/transforms/TDHRotation.java
 delete mode 100644 CSMath/src/bezier/transforms/TDHScale.java
 delete mode 100644 CSMath/src/bezier/transforms/TDHShear.java
 delete mode 100644 CSMath/src/bezier/transforms/TDHTransform.java
 delete mode 100644 CSMath/src/bezier/transforms/TDHTransformType.java
 delete mode 100644 CSMath/src/bezier/transforms/TDHTranslate.java
 delete mode 100644 CSMath/src/bezier/transforms/TDHXAxisReflection.java
 delete mode 100644 CSMath/src/bezier/transforms/TDHYAxisReflection.java
 create mode 100644 CSMath/src/bezier/transforms/geom/TDHCombination.java
 create mode 100644 CSMath/src/bezier/transforms/geom/TDHIdentity.java
 create mode 100644 CSMath/src/bezier/transforms/geom/TDHLineReflection.java
 create mode 100644 CSMath/src/bezier/transforms/geom/TDHMatrixTransform.java
 create mode 100644 CSMath/src/bezier/transforms/geom/TDHPointRotation.java
 create mode 100644 CSMath/src/bezier/transforms/geom/TDHRotation.java
 create mode 100644 CSMath/src/bezier/transforms/geom/TDHScale.java
 create mode 100644 CSMath/src/bezier/transforms/geom/TDHShear.java
 create mode 100644 CSMath/src/bezier/transforms/geom/TDHTransform.java
 create mode 100644 CSMath/src/bezier/transforms/geom/TDHTransformType.java
 create mode 100644 CSMath/src/bezier/transforms/geom/TDHTranslate.java
 create mode 100644 CSMath/src/bezier/transforms/geom/TDHXAxisReflection.java
 create mode 100644 CSMath/src/bezier/transforms/geom/TDHYAxisReflection.java

(limited to 'CSMath')

diff --git a/CSMath/src/bezier/BezierPanel.java b/CSMath/src/bezier/BezierPanel.java
index dfde4c8..529612a 100644
--- a/CSMath/src/bezier/BezierPanel.java
+++ b/CSMath/src/bezier/BezierPanel.java
@@ -12,10 +12,10 @@ import javax.swing.border.BevelBorder;
 import bezier.geom.Bezier;
 import bezier.geom.TDHPoint;
 import bezier.geom.TDPoint;
-import bezier.transforms.TDHCombination;
-import bezier.transforms.TDHTransform;
-import bezier.transforms.TDHTranslate;
-import bezier.transforms.TDHXAxisReflection;
+import bezier.geom.transform.TDHCombination;
+import bezier.geom.transform.TDHTransform;
+import bezier.geom.transform.TDHTranslate;
+import bezier.geom.transform.TDHXAxisReflection;
 
 /*
  * Panel that graphs a set of bezier curves.
diff --git a/CSMath/src/bezier/geom/Bezier.java b/CSMath/src/bezier/geom/Bezier.java
index 46f1476..dbc6a12 100644
--- a/CSMath/src/bezier/geom/Bezier.java
+++ b/CSMath/src/bezier/geom/Bezier.java
@@ -3,8 +3,8 @@ package bezier.geom;
 import java.util.ArrayList;
 import java.util.List;
 
-import bezier.transforms.TDHIdentity;
-import bezier.transforms.TDHTransform;
+import bezier.geom.transform.TDHIdentity;
+import bezier.geom.transform.TDHTransform;
 
 /**
  * Represents a bezier curve.
diff --git a/CSMath/src/bezier/geom/transform/TDHCombination.java b/CSMath/src/bezier/geom/transform/TDHCombination.java
new file mode 100644
index 0000000..27d71e7
--- /dev/null
+++ b/CSMath/src/bezier/geom/transform/TDHCombination.java
@@ -0,0 +1,64 @@
+package bezier.geom.transform;
+
+import java.util.ArrayList;
+import java.util.List;
+
+import bezier.geom.TDHPoint;
+
+public class TDHCombination implements TDHTransform {
+	public final List<TDHTransform> forms;
+
+	@Override
+	public TDHTransformType type() {
+		return TDHTransformType.COMBINATION;
+	}
+
+	public TDHCombination(TDHTransform... forms) {
+		this.forms = new ArrayList<>(forms.length);
+
+		for (TDHTransform form : forms) {
+			this.forms.add(form);
+		}
+	}
+
+	@Override
+	public TDHPoint transform(TDHPoint punkt) {
+		TDHPoint ret = punkt;
+
+		for (TDHTransform form : forms) {
+			ret = form.transform(ret);
+		}
+
+		return ret;
+	}
+
+	@Override
+	public int hashCode() {
+		final int prime = 31;
+		int result = 1;
+		result = prime * result + ((forms == null) ? 0 : forms.hashCode());
+		return result;
+	}
+
+	@Override
+	public boolean equals(Object obj) {
+		if (this == obj)
+			return true;
+		if (obj == null)
+			return false;
+		if (getClass() != obj.getClass())
+			return false;
+		TDHCombination other = (TDHCombination) obj;
+		if (forms == null) {
+			if (other.forms != null)
+				return false;
+		} else if (!forms.equals(other.forms))
+			return false;
+		return true;
+	}
+
+	@Override
+	public String toString() {
+		return "TDHCombination [forms=" + forms + "]";
+	}
+}
\ No newline at end of file
diff --git a/CSMath/src/bezier/geom/transform/TDHIdentity.java b/CSMath/src/bezier/geom/transform/TDHIdentity.java
new file mode 100644
index 0000000..b1b61e6
--- /dev/null
+++ b/CSMath/src/bezier/geom/transform/TDHIdentity.java
@@ -0,0 +1,21 @@
+package bezier.geom.transform;
+
+import bezier.geom.TDHPoint;
+
+/**
+ * A transform that does nothing.
+ * 
+ * @author bjculkin
+ *
+ */
+public class TDHIdentity implements TDHTransform {
+	@Override
+	public TDHPoint transform(TDHPoint punkt) {
+		return punkt;
+	}
+
+	@Override
+	public String toString() {
+		return "TDHIdentity []";
+	}
+}
\ No newline at end of file
diff --git a/CSMath/src/bezier/geom/transform/TDHLineReflection.java b/CSMath/src/bezier/geom/transform/TDHLineReflection.java
new file mode 100644
index 0000000..0158d60
--- /dev/null
+++ b/CSMath/src/bezier/geom/transform/TDHLineReflection.java
@@ -0,0 +1,68 @@
+package bezier.geom.transform;
+
+import bezier.geom.TDHPoint;
+
+public class TDHLineReflection implements TDHTransform {
+	public final double a;
+	public final double b;
+	public final double c;
+
+	public TDHLineReflection(double a, double b, double c) {
+		this.a = a;
+		this.b = b;
+		this.c = c;
+	}
+
+	@Override
+	public TDHTransformType type() {
+		return TDHTransformType.REFLECTION;
+	}
+
+	@Override
+	public TDHPoint transform(TDHPoint punkt) {
+		double com = (a * a - b * b);
+
+		double x = (punkt.x * com) - (2 * a * b * punkt.y) - (2 * a * c * punkt.z);
+		double y = (-2 * a * b * punkt.x) + (punkt.y * com) - (2 * b * c * punkt.z);
+		double z = (punkt.z * com);
+
+		return new TDHPoint(x, y, z);
+	}
+
+	@Override
+	public int hashCode() {
+		final int prime = 31;
+		int result = 1;
+		long temp;
+		temp = Double.doubleToLongBits(a);
+		result = prime * result + (int) (temp ^ (temp >>> 32));
+		temp = Double.doubleToLongBits(b);
+		result = prime * result + (int) (temp ^ (temp >>> 32));
+		temp = Double.doubleToLongBits(c);
+		result = prime * result + (int) (temp ^ (temp >>> 32));
+		return result;
+	}
+
+	@Override
+	public boolean equals(Object obj) {
+		if (this == obj)
+			return true;
+		if (obj == null)
+			return false;
+		if (getClass() != obj.getClass())
+			return false;
+		TDHLineReflection other = (TDHLineReflection) obj;
+		if (Double.doubleToLongBits(a) != Double.doubleToLongBits(other.a))
+			return false;
+		if (Double.doubleToLongBits(b) != Double.doubleToLongBits(other.b))
+			return false;
+		if (Double.doubleToLongBits(c) != Double.doubleToLongBits(other.c))
+			return false;
+		return true;
+	}
+
+	@Override
+	public String toString() {
+		return "TDHLineReflection [a=" + a + ", b=" + b + ", c=" + c + "]";
+	}
+}
\ No newline at end of file
diff --git a/CSMath/src/bezier/geom/transform/TDHMatrixTransform.java b/CSMath/src/bezier/geom/transform/TDHMatrixTransform.java
new file mode 100644
index 0000000..5014d1f
--- /dev/null
+++ b/CSMath/src/bezier/geom/transform/TDHMatrixTransform.java
@@ -0,0 +1,32 @@
+package bezier.geom.transform;
+
+import bezier.geom.Matrix;
+import bezier.geom.TDHPoint;
+
+public class TDHMatrixTransform implements TDHTransform {
+	public final Matrix mat;
+
+	public TDHMatrixTransform(Matrix mat) {
+		this.mat = mat;
+	}
+
+	public TDHMatrixTransform(double[][] mat) {
+		this.mat = new Matrix(mat);
+	}
+
+	@Override
+	public TDHTransformType type() {
+		return TDHTransformType.MATRIX;
+	}
+
+	@Override
+	public TDHPoint transform(TDHPoint punkt) {
+		double[] mult = mat.scalarMultiply(new double[] { punkt.x, punkt.y, punkt.z });
+
+		return new TDHPoint(mult[0], mult[1], mult[2]);
+	}
+
+	public TDHTransform then(TDHMatrixTransform trans) {
+		return new TDHMatrixTransform(mat.multiply(trans.mat));
+	}
+}
\ No newline at end of file
diff --git a/CSMath/src/bezier/geom/transform/TDHPointRotation.java b/CSMath/src/bezier/geom/transform/TDHPointRotation.java
new file mode 100644
index 0000000..a207612
--- /dev/null
+++ b/CSMath/src/bezier/geom/transform/TDHPointRotation.java
@@ -0,0 +1,67 @@
+package bezier.geom.transform;
+
+import bezier.geom.TDHPoint;
+
+public class TDHPointRotation extends TDHRotation {
+	public final double x0;
+	public final double y0;
+
+	public TDHPointRotation(double theta, double x0, double y0) {
+		super(theta);
+
+		this.x0 = x0;
+		this.y0 = y0;
+	}
+
+	@Override
+	public TDHTransformType type() {
+		return TDHTransformType.ROTATION;
+	}
+
+	@Override
+	public TDHPoint transform(TDHPoint punkt) {
+		double x1 = (punkt.x * Math.cos(theta)) - (punkt.y * Math.sin(theta));
+		double y1 = (punkt.x * Math.sin(theta)) - (punkt.y * Math.cos(theta));
+
+		double x2 = (-x0 * Math.cos(theta)) + (y0 * Math.sin(theta)) + x0;
+		double y2 = (-x0 * Math.sin(theta)) - (y0 * Math.cos(theta)) + y0;
+
+		double x = x1 + (punkt.z * x2);
+		double y = y1 + (punkt.z * y2);
+
+		return new TDHPoint(x, y, punkt.z);
+	}
+
+	@Override
+	public int hashCode() {
+		final int prime = 31;
+		int result = super.hashCode();
+		long temp;
+		temp = Double.doubleToLongBits(x0);
+		result = prime * result + (int) (temp ^ (temp >>> 32));
+		temp = Double.doubleToLongBits(y0);
+		result = prime * result + (int) (temp ^ (temp >>> 32));
+		return result;
+	}
+
+	@Override
+	public boolean equals(Object obj) {
+		if (this == obj)
+			return true;
+		if (!super.equals(obj))
+			return false;
+		if (getClass() != obj.getClass())
+			return false;
+		TDHPointRotation other = (TDHPointRotation) obj;
+		if (Double.doubleToLongBits(x0) != Double.doubleToLongBits(other.x0))
+			return false;
+		if (Double.doubleToLongBits(y0) != Double.doubleToLongBits(other.y0))
+			return false;
+		return true;
+	}
+
+	@Override
+	public String toString() {
+		return "TDHPointRotation [x0=" + x0 + ", y0=" + y0 + "]";
+	}
+}
\ No newline at end of file
diff --git a/CSMath/src/bezier/geom/transform/TDHRotation.java b/CSMath/src/bezier/geom/transform/TDHRotation.java
new file mode 100644
index 0000000..a8c4cd6
--- /dev/null
+++ b/CSMath/src/bezier/geom/transform/TDHRotation.java
@@ -0,0 +1,57 @@
+package bezier.geom.transform;
+
+import bezier.geom.TDHPoint;
+
+public class TDHRotation implements TDHTransform {
+	public final double theta;
+
+	public TDHRotation(double theta) {
+		this.theta = theta;
+	}
+
+	@Override
+	public TDHPoint transform(TDHPoint punkt) {
+		double x = (punkt.x * Math.cos(theta)) - (punkt.y * Math.sin(theta));
+		double y = (punkt.x * Math.sin(theta)) - (punkt.y * Math.cos(theta));
+
+		return new TDHPoint(x, y, punkt.z);
+	}
+
+	public double[][] matrix() {
+		return new double[][] { new double[] { Math.cos(theta), Math.sin(theta), 0 },
+				new double[] { -Math.sin(theta), Math.cos(theta), 0 }, new double[] { 0, 0, 1 } };
+	}
+
+	public TDHTransform invert() {
+		return new TDHRotation(-theta);
+	}
+
+	@Override
+	public int hashCode() {
+		final int prime = 31;
+		int result = 1;
+		long temp;
+		temp = Double.doubleToLongBits(theta);
+		result = prime * result + (int) (temp ^ (temp >>> 32));
+		return result;
+	}
+
+	@Override
+	public boolean equals(Object obj) {
+		if (this == obj)
+			return true;
+		if (obj == null)
+			return false;
+		if (getClass() != obj.getClass())
+			return false;
+		TDHRotation other = (TDHRotation) obj;
+		if (Double.doubleToLongBits(theta) != Double.doubleToLongBits(other.theta))
+			return false;
+		return true;
+	}
+
+	@Override
+	public String toString() {
+		return "TDHRotation [theta=" + theta + "]";
+	}
+}
\ No newline at end of file
diff --git a/CSMath/src/bezier/geom/transform/TDHScale.java b/CSMath/src/bezier/geom/transform/TDHScale.java
new file mode 100644
index 0000000..83c7a63
--- /dev/null
+++ b/CSMath/src/bezier/geom/transform/TDHScale.java
@@ -0,0 +1,124 @@
+package bezier.geom.transform;
+
+import bezier.geom.TDHPoint;
+
+/**
+ * Transform that does coordinate scaling.
+ * 
+ * @author bjculkin
+ *
+ */
+public class TDHScale implements TDHTransform {
+	/**
+	 * Amount to scale x by.
+	 */
+	public final double sx;
+	/**
+	 * Amount to scale y by.
+	 */
+	public final double sy;
+	/**
+	 * Amount to scale the homogeneous coordinate by.
+	 */
+	public final double sz;
+
+	/**
+	 * Create a new scaling that scales each coordinate by an equal amount
+	 * 
+	 * @param factor
+	 *            The amount to scale the coordinates by.
+	 */
+	public TDHScale(double factor) {
+		this(factor, factor);
+	}
+
+	/**
+	 * Create a new scaling that scales each coordinate separately.
+	 * 
+	 * @param sx
+	 *            The amount to scale x by.
+	 * @param sy
+	 *            The amount to scale y by.
+	 */
+	public TDHScale(double sx, double sy) {
+		this(sx, sy, 1);
+	}
+
+	/**
+	 * Create a new scaling that scales each coordinate separately.
+	 * 
+	 * Includes the homogeneous coordinate.
+	 * 
+	 * @param sx
+	 *            The amount to scale x by.
+	 * @param sy
+	 *            The amount to scale y by.
+	 * @param sz
+	 *            The amount to scale the homogeneous coordinate by.
+	 */
+	public TDHScale(double sx, double sy, double sz) {
+		this.sx = sx;
+		this.sy = sy;
+		this.sz = sz;
+	}
+
+	@Override
+	public TDHTransformType type() {
+		return TDHTransformType.SCALE;
+	}
+
+	@Override
+	public TDHPoint transform(TDHPoint punkt) {
+		double x = punkt.x * sx;
+		double y = punkt.y * sy;
+		double z = punkt.z * sz;
+
+		return new TDHPoint(x, y, z);
+	}
+
+	@Override
+	public double[][] matrix() {
+		return new double[][] { new double[] { sx, 0, 0 }, new double[] { 0, sy, 0 }, new double[] { 0, 0, sz } };
+	}
+
+	public TDHTransform invert() {
+		return new TDHScale(1 / sx, 1 / sy, 1 / sy);
+	}
+
+	@Override
+	public int hashCode() {
+		final int prime = 31;
+		int result = 1;
+		long temp;
+		temp = Double.doubleToLongBits(sx);
+		result = prime * result + (int) (temp ^ (temp >>> 32));
+		temp = Double.doubleToLongBits(sy);
+		result = prime * result + (int) (temp ^ (temp >>> 32));
+		temp = Double.doubleToLongBits(sz);
+		result = prime * result + (int) (temp ^ (temp >>> 32));
+		return result;
+	}
+
+	@Override
+	public boolean equals(Object obj) {
+		if (this == obj)
+			return true;
+		if (obj == null)
+			return false;
+		if (getClass() != obj.getClass())
+			return false;
+		TDHScale other = (TDHScale) obj;
+		if (Double.doubleToLongBits(sx) != Double.doubleToLongBits(other.sx))
+			return false;
+		if (Double.doubleToLongBits(sy) != Double.doubleToLongBits(other.sy))
+			return false;
+		if (Double.doubleToLongBits(sz) != Double.doubleToLongBits(other.sz))
+			return false;
+		return true;
+	}
+
+	@Override
+	public String toString() {
+		return "TDHScale [sx=" + sx + ", sy=" + sy + ", sz=" + sz + "]";
+	}
+}
\ No newline at end of file
diff --git a/CSMath/src/bezier/geom/transform/TDHShear.java b/CSMath/src/bezier/geom/transform/TDHShear.java
new file mode 100644
index 0000000..f099e74
--- /dev/null
+++ b/CSMath/src/bezier/geom/transform/TDHShear.java
@@ -0,0 +1,59 @@
+package bezier.geom.transform;
+
+import bezier.geom.TDHPoint;
+
+public class TDHShear implements TDHTransform {
+	public final double shx;
+	public final double shy;
+
+	@Override
+	public TDHTransformType type() {
+		return TDHTransformType.SHEAR;
+	}
+
+	public TDHShear(double shx, double shy) {
+		this.shx = shx;
+		this.shy = shy;
+	}
+
+	@Override
+	public TDHPoint transform(TDHPoint punkt) {
+		double x = punkt.x + (punkt.y * shx);
+		double y = punkt.y + (punkt.x * shy);
+
+		return new TDHPoint(x, y, punkt.z);
+	}
+
+	@Override
+	public int hashCode() {
+		final int prime = 31;
+		int result = 1;
+		long temp;
+		temp = Double.doubleToLongBits(shx);
+		result = prime * result + (int) (temp ^ (temp >>> 32));
+		temp = Double.doubleToLongBits(shy);
+		result = prime * result + (int) (temp ^ (temp >>> 32));
+		return result;
+	}
+
+	@Override
+	public boolean equals(Object obj) {
+		if (this == obj)
+			return true;
+		if (obj == null)
+			return false;
+		if (getClass() != obj.getClass())
+			return false;
+		TDHShear other = (TDHShear) obj;
+		if (Double.doubleToLongBits(shx) != Double.doubleToLongBits(other.shx))
+			return false;
+		if (Double.doubleToLongBits(shy) != Double.doubleToLongBits(other.shy))
+			return false;
+		return true;
+	}
+
+	@Override
+	public String toString() {
+		return "TDHShear [shx=" + shx + ", shy=" + shy + "]";
+	}
+}
\ No newline at end of file
diff --git a/CSMath/src/bezier/geom/transform/TDHTransform.java b/CSMath/src/bezier/geom/transform/TDHTransform.java
new file mode 100644
index 0000000..cd35caf
--- /dev/null
+++ b/CSMath/src/bezier/geom/transform/TDHTransform.java
@@ -0,0 +1,54 @@
+package bezier.geom.transform;
+
+import bezier.geom.TDHPoint;
+
+/**
+ * Transformation applicable to TDHPoints.
+ * 
+ * @author bjculkin
+ *
+ */
+@FunctionalInterface
+public interface TDHTransform {
+	/**
+	 * Get the type of this transform.
+	 * 
+	 * Unknown transformations are assumed to be identity transforms.
+	 * 
+	 * @return The type of this transform.
+	 */
+	default TDHTransformType type() {
+		return TDHTransformType.IDENTITY;
+	}
+
+	/**
+	 * Get the matrix representation of the transform.
+	 * 
+	 * Unknown transformations are assumed to be identity transforms.
+	 * 
+	 * @return The matrix representation of the transform.
+	 */
+	default double[][] matrix() {
+		return new double[][] { new double[] { 1, 0, 0 }, new double[] { 0, 1, 0 }, new double[] { 0, 0, 1 } };
+	}
+
+	/**
+	 * Get the inverse of the transform.
+	 * 
+	 * Unknown transformations are assumed to be identity transforms.
+	 * 
+	 * @return The inverse the transform.
+	 */
+	default TDHTransform invert() {
+		return new TDHIdentity();
+	}
+
+	/**
+	 * Apply the transform to a point.
+	 * 
+	 * @param punkt
+	 *            The point to transform.
+	 * @return A transformed version of the point.
+	 */
+	TDHPoint transform(TDHPoint punkt);
+}
\ No newline at end of file
diff --git a/CSMath/src/bezier/geom/transform/TDHTransformType.java b/CSMath/src/bezier/geom/transform/TDHTransformType.java
new file mode 100644
index 0000000..6ffa67d
--- /dev/null
+++ b/CSMath/src/bezier/geom/transform/TDHTransformType.java
@@ -0,0 +1,42 @@
+package bezier.geom.transform;
+
+/**
+ * Types of transform to apply to TDHPoints.
+ * 
+ * @author bjculkin
+ *
+ */
+public enum TDHTransformType {
+	/**
+	 * Coordinate translation.
+	 */
+	TRANSLATE,
+	/**
+	 * Do nothing transform.
+	 */
+	IDENTITY,
+	/**
+	 * Coordinate scaling.
+	 */
+	SCALE,
+	/**
+	 * Coordinate rotation.
+	 */
+	ROTATION,
+	/**
+	 * Coordinate reflection.
+	 */
+	REFLECTION,
+	/**
+	 * Coordinate shearing.
+	 */
+	SHEAR,
+	/**
+	 * Multiple transformations.
+	 */
+	COMBINATION,
+	/**
+	 * Arbitrary matrix transformation.
+	 */
+	MATRIX
+}
\ No newline at end of file
diff --git a/CSMath/src/bezier/geom/transform/TDHTranslate.java b/CSMath/src/bezier/geom/transform/TDHTranslate.java
new file mode 100644
index 0000000..1114c5e
--- /dev/null
+++ b/CSMath/src/bezier/geom/transform/TDHTranslate.java
@@ -0,0 +1,89 @@
+package bezier.geom.transform;
+
+import bezier.geom.TDHPoint;
+
+/**
+ * A transform that does coordinate translation.
+ * 
+ * @author bjculkin
+ *
+ */
+public class TDHTranslate implements TDHTransform {
+	/**
+	 * The amount to translate the x-coordinate by.
+	 */
+	public final double h;
+	/**
+	 * The amount to translate the y-coordinate by.
+	 */
+	public final double k;
+
+	/**
+	 * Create a new translation transform.
+	 * 
+	 * @param h
+	 *            The amount to translate x by.
+	 * @param k
+	 *            The amount to translate y by.
+	 */
+	public TDHTranslate(double h, double k) {
+		this.h = h;
+		this.k = k;
+	}
+
+	@Override
+	public TDHTransformType type() {
+		return TDHTransformType.TRANSLATE;
+	}
+
+	@Override
+	public TDHPoint transform(TDHPoint punkt) {
+		double x = punkt.x + (punkt.z * h);
+		double y = punkt.y + (punkt.z * k);
+
+		return new TDHPoint(x, y, punkt.z);
+	}
+
+	@Override
+	public double[][] matrix() {
+		return new double[][] { new double[] { 1, 0, 0 }, new double[] { 0, 1, 0 }, new double[] { h, k, 1 } };
+	}
+
+	@Override
+	public TDHTransform invert() {
+		return new TDHTranslate(-h, -k);
+	}
+
+	@Override
+	public int hashCode() {
+		final int prime = 31;
+		int result = 1;
+		long temp;
+		temp = Double.doubleToLongBits(h);
+		result = prime * result + (int) (temp ^ (temp >>> 32));
+		temp = Double.doubleToLongBits(k);
+		result = prime * result + (int) (temp ^ (temp >>> 32));
+		return result;
+	}
+
+	@Override
+	public boolean equals(Object obj) {
+		if (this == obj)
+			return true;
+		if (obj == null)
+			return false;
+		if (getClass() != obj.getClass())
+			return false;
+		TDHTranslate other = (TDHTranslate) obj;
+		if (Double.doubleToLongBits(h) != Double.doubleToLongBits(other.h))
+			return false;
+		if (Double.doubleToLongBits(k) != Double.doubleToLongBits(other.k))
+			return false;
+		return true;
+	}
+
+	@Override
+	public String toString() {
+		return "TDHTranslate [h=" + h + ", k=" + k + "]";
+	}
+}
\ No newline at end of file
diff --git a/CSMath/src/bezier/geom/transform/TDHXAxisReflection.java b/CSMath/src/bezier/geom/transform/TDHXAxisReflection.java
new file mode 100644
index 0000000..21af1a8
--- /dev/null
+++ b/CSMath/src/bezier/geom/transform/TDHXAxisReflection.java
@@ -0,0 +1,20 @@
+package bezier.geom.transform;
+
+import bezier.geom.TDHPoint;
+
+public class TDHXAxisReflection implements TDHTransform {
+	@Override
+	public TDHTransformType type() {
+		return TDHTransformType.REFLECTION;
+	}
+
+	@Override
+	public TDHPoint transform(TDHPoint punkt) {
+		return new TDHPoint(punkt.x, -punkt.y, punkt.z);
+	}
+
+	@Override
+	public String toString() {
+		return "TDHXAxisReflection []";
+	}
+}
\ No newline at end of file
diff --git a/CSMath/src/bezier/geom/transform/TDHYAxisReflection.java b/CSMath/src/bezier/geom/transform/TDHYAxisReflection.java
new file mode 100644
index 0000000..c4ada7f
--- /dev/null
+++ b/CSMath/src/bezier/geom/transform/TDHYAxisReflection.java
@@ -0,0 +1,20 @@
+package bezier.geom.transform;
+
+import bezier.geom.TDHPoint;
+
+public class TDHYAxisReflection implements TDHTransform {
+	@Override
+	public TDHTransformType type() {
+		return TDHTransformType.REFLECTION;
+	}
+
+	@Override
+	public TDHPoint transform(TDHPoint punkt) {
+		return new TDHPoint(-punkt.x, punkt.y, punkt.z);
+	}
+
+	@Override
+	public String toString() {
+		return "TDHYAxisReflection []";
+	}
+}
\ No newline at end of file
diff --git a/CSMath/src/bezier/transforms/TDHCombination.java b/CSMath/src/bezier/transforms/TDHCombination.java
deleted file mode 100644
index 83b3858..0000000
--- a/CSMath/src/bezier/transforms/TDHCombination.java
+++ /dev/null
@@ -1,64 +0,0 @@
-package bezier.transforms;
-
-import java.util.ArrayList;
-import java.util.List;
-
-import bezier.geom.TDHPoint;
-
-public class TDHCombination implements TDHTransform {
-	public final List<TDHTransform> forms;
-
-	@Override
-	public TDHTransformType type() {
-		return TDHTransformType.COMBINATION;
-	}
-
-	public TDHCombination(TDHTransform... forms) {
-		this.forms = new ArrayList<>(forms.length);
-
-		for (TDHTransform form : forms) {
-			this.forms.add(form);
-		}
-	}
-
-	@Override
-	public TDHPoint transform(TDHPoint punkt) {
-		TDHPoint ret = punkt;
-
-		for (TDHTransform form : forms) {
-			ret = form.transform(ret);
-		}
-
-		return ret;
-	}
-
-	@Override
-	public int hashCode() {
-		final int prime = 31;
-		int result = 1;
-		result = prime * result + ((forms == null) ? 0 : forms.hashCode());
-		return result;
-	}
-
-	@Override
-	public boolean equals(Object obj) {
-		if (this == obj)
-			return true;
-		if (obj == null)
-			return false;
-		if (getClass() != obj.getClass())
-			return false;
-		TDHCombination other = (TDHCombination) obj;
-		if (forms == null) {
-			if (other.forms != null)
-				return false;
-		} else if (!forms.equals(other.forms))
-			return false;
-		return true;
-	}
-
-	@Override
-	public String toString() {
-		return "TDHCombination [forms=" + forms + "]";
-	}
-}
\ No newline at end of file
diff --git a/CSMath/src/bezier/transforms/TDHIdentity.java b/CSMath/src/bezier/transforms/TDHIdentity.java
deleted file mode 100644
index d1b55d0..0000000
--- a/CSMath/src/bezier/transforms/TDHIdentity.java
+++ /dev/null
@@ -1,21 +0,0 @@
-package bezier.transforms;
-
-import bezier.geom.TDHPoint;
-
-/**
- * A transform that does nothing.
- * 
- * @author bjculkin
- *
- */
-public class TDHIdentity implements TDHTransform {
-	@Override
-	public TDHPoint transform(TDHPoint punkt) {
-		return punkt;
-	}
-
-	@Override
-	public String toString() {
-		return "TDHIdentity []";
-	}
-}
\ No newline at end of file
diff --git a/CSMath/src/bezier/transforms/TDHLineReflection.java b/CSMath/src/bezier/transforms/TDHLineReflection.java
deleted file mode 100644
index db50fd5..0000000
--- a/CSMath/src/bezier/transforms/TDHLineReflection.java
+++ /dev/null
@@ -1,68 +0,0 @@
-package bezier.transforms;
-
-import bezier.geom.TDHPoint;
-
-public class TDHLineReflection implements TDHTransform {
-	public final double a;
-	public final double b;
-	public final double c;
-
-	public TDHLineReflection(double a, double b, double c) {
-		this.a = a;
-		this.b = b;
-		this.c = c;
-	}
-
-	@Override
-	public TDHTransformType type() {
-		return TDHTransformType.REFLECTION;
-	}
-
-	@Override
-	public TDHPoint transform(TDHPoint punkt) {
-		double com = (a * a - b * b);
-
-		double x = (punkt.x * com) - (2 * a * b * punkt.y) - (2 * a * c * punkt.z);
-		double y = (-2 * a * b * punkt.x) + (punkt.y * com) - (2 * b * c * punkt.z);
-		double z = (punkt.z * com);
-
-		return new TDHPoint(x, y, z);
-	}
-
-	@Override
-	public int hashCode() {
-		final int prime = 31;
-		int result = 1;
-		long temp;
-		temp = Double.doubleToLongBits(a);
-		result = prime * result + (int) (temp ^ (temp >>> 32));
-		temp = Double.doubleToLongBits(b);
-		result = prime * result + (int) (temp ^ (temp >>> 32));
-		temp = Double.doubleToLongBits(c);
-		result = prime * result + (int) (temp ^ (temp >>> 32));
-		return result;
-	}
-
-	@Override
-	public boolean equals(Object obj) {
-		if (this == obj)
-			return true;
-		if (obj == null)
-			return false;
-		if (getClass() != obj.getClass())
-			return false;
-		TDHLineReflection other = (TDHLineReflection) obj;
-		if (Double.doubleToLongBits(a) != Double.doubleToLongBits(other.a))
-			return false;
-		if (Double.doubleToLongBits(b) != Double.doubleToLongBits(other.b))
-			return false;
-		if (Double.doubleToLongBits(c) != Double.doubleToLongBits(other.c))
-			return false;
-		return true;
-	}
-
-	@Override
-	public String toString() {
-		return "TDHLineReflection [a=" + a + ", b=" + b + ", c=" + c + "]";
-	}
-}
\ No newline at end of file
diff --git a/CSMath/src/bezier/transforms/TDHMatrixTransform.java b/CSMath/src/bezier/transforms/TDHMatrixTransform.java
deleted file mode 100644
index 6cfc3cc..0000000
--- a/CSMath/src/bezier/transforms/TDHMatrixTransform.java
+++ /dev/null
@@ -1,32 +0,0 @@
-package bezier.transforms;
-
-import bezier.geom.Matrix;
-import bezier.geom.TDHPoint;
-
-public class TDHMatrixTransform implements TDHTransform {
-	public final Matrix mat;
-
-	public TDHMatrixTransform(Matrix mat) {
-		this.mat = mat;
-	}
-
-	public TDHMatrixTransform(double[][] mat) {
-		this.mat = new Matrix(mat);
-	}
-
-	@Override
-	public TDHTransformType type() {
-		return TDHTransformType.MATRIX;
-	}
-
-	@Override
-	public TDHPoint transform(TDHPoint punkt) {
-		double[] mult = mat.scalarMultiply(new double[] { punkt.x, punkt.y, punkt.z });
-
-		return new TDHPoint(mult[0], mult[1], mult[2]);
-	}
-
-	public TDHTransform then(TDHMatrixTransform trans) {
-		return new TDHMatrixTransform(mat.multiply(trans.mat));
-	}
-}
\ No newline at end of file
diff --git a/CSMath/src/bezier/transforms/TDHPointRotation.java b/CSMath/src/bezier/transforms/TDHPointRotation.java
deleted file mode 100644
index 5b8736c..0000000
--- a/CSMath/src/bezier/transforms/TDHPointRotation.java
+++ /dev/null
@@ -1,67 +0,0 @@
-package bezier.transforms;
-
-import bezier.geom.TDHPoint;
-
-public class TDHPointRotation extends TDHRotation {
-	public final double x0;
-	public final double y0;
-
-	public TDHPointRotation(double theta, double x0, double y0) {
-		super(theta);
-
-		this.x0 = x0;
-		this.y0 = y0;
-	}
-
-	@Override
-	public TDHTransformType type() {
-		return TDHTransformType.ROTATION;
-	}
-
-	@Override
-	public TDHPoint transform(TDHPoint punkt) {
-		double x1 = (punkt.x * Math.cos(theta)) - (punkt.y * Math.sin(theta));
-		double y1 = (punkt.x * Math.sin(theta)) - (punkt.y * Math.cos(theta));
-
-		double x2 = (-x0 * Math.cos(theta)) + (y0 * Math.sin(theta)) + x0;
-		double y2 = (-x0 * Math.sin(theta)) - (y0 * Math.cos(theta)) + y0;
-
-		double x = x1 + (punkt.z * x2);
-		double y = y1 + (punkt.z * y2);
-
-		return new TDHPoint(x, y, punkt.z);
-	}
-
-	@Override
-	public int hashCode() {
-		final int prime = 31;
-		int result = super.hashCode();
-		long temp;
-		temp = Double.doubleToLongBits(x0);
-		result = prime * result + (int) (temp ^ (temp >>> 32));
-		temp = Double.doubleToLongBits(y0);
-		result = prime * result + (int) (temp ^ (temp >>> 32));
-		return result;
-	}
-
-	@Override
-	public boolean equals(Object obj) {
-		if (this == obj)
-			return true;
-		if (!super.equals(obj))
-			return false;
-		if (getClass() != obj.getClass())
-			return false;
-		TDHPointRotation other = (TDHPointRotation) obj;
-		if (Double.doubleToLongBits(x0) != Double.doubleToLongBits(other.x0))
-			return false;
-		if (Double.doubleToLongBits(y0) != Double.doubleToLongBits(other.y0))
-			return false;
-		return true;
-	}
-
-	@Override
-	public String toString() {
-		return "TDHPointRotation [x0=" + x0 + ", y0=" + y0 + "]";
-	}
-}
\ No newline at end of file
diff --git a/CSMath/src/bezier/transforms/TDHRotation.java b/CSMath/src/bezier/transforms/TDHRotation.java
deleted file mode 100644
index 64a6c2c..0000000
--- a/CSMath/src/bezier/transforms/TDHRotation.java
+++ /dev/null
@@ -1,57 +0,0 @@
-package bezier.transforms;
-
-import bezier.geom.TDHPoint;
-
-public class TDHRotation implements TDHTransform {
-	public final double theta;
-
-	public TDHRotation(double theta) {
-		this.theta = theta;
-	}
-
-	@Override
-	public TDHPoint transform(TDHPoint punkt) {
-		double x = (punkt.x * Math.cos(theta)) - (punkt.y * Math.sin(theta));
-		double y = (punkt.x * Math.sin(theta)) - (punkt.y * Math.cos(theta));
-
-		return new TDHPoint(x, y, punkt.z);
-	}
-
-	public double[][] matrix() {
-		return new double[][] { new double[] { Math.cos(theta), Math.sin(theta), 0 },
-				new double[] { -Math.sin(theta), Math.cos(theta), 0 }, new double[] { 0, 0, 1 } };
-	}
-
-	public TDHTransform invert() {
-		return new TDHRotation(-theta);
-	}
-
-	@Override
-	public int hashCode() {
-		final int prime = 31;
-		int result = 1;
-		long temp;
-		temp = Double.doubleToLongBits(theta);
-		result = prime * result + (int) (temp ^ (temp >>> 32));
-		return result;
-	}
-
-	@Override
-	public boolean equals(Object obj) {
-		if (this == obj)
-			return true;
-		if (obj == null)
-			return false;
-		if (getClass() != obj.getClass())
-			return false;
-		TDHRotation other = (TDHRotation) obj;
-		if (Double.doubleToLongBits(theta) != Double.doubleToLongBits(other.theta))
-			return false;
-		return true;
-	}
-
-	@Override
-	public String toString() {
-		return "TDHRotation [theta=" + theta + "]";
-	}
-}
\ No newline at end of file
diff --git a/CSMath/src/bezier/transforms/TDHScale.java b/CSMath/src/bezier/transforms/TDHScale.java
deleted file mode 100644
index 5cfd300..0000000
--- a/CSMath/src/bezier/transforms/TDHScale.java
+++ /dev/null
@@ -1,124 +0,0 @@
-package bezier.transforms;
-
-import bezier.geom.TDHPoint;
-
-/**
- * Transform that does coordinate scaling.
- * 
- * @author bjculkin
- *
- */
-public class TDHScale implements TDHTransform {
-	/**
-	 * Amount to scale x by.
-	 */
-	public final double sx;
-	/**
-	 * Amount to scale y by.
-	 */
-	public final double sy;
-	/**
-	 * Amount to scale the homogeneous coordinate by.
-	 */
-	public final double sz;
-
-	/**
-	 * Create a new scaling that scales each coordinate by an equal amount
-	 * 
-	 * @param factor
-	 *            The amount to scale the coordinates by.
-	 */
-	public TDHScale(double factor) {
-		this(factor, factor);
-	}
-
-	/**
-	 * Create a new scaling that scales each coordinate separately.
-	 * 
-	 * @param sx
-	 *            The amount to scale x by.
-	 * @param sy
-	 *            The amount to scale y by.
-	 */
-	public TDHScale(double sx, double sy) {
-		this(sx, sy, 1);
-	}
-
-	/**
-	 * Create a new scaling that scales each coordinate separately.
-	 * 
-	 * Includes the homogeneous coordinate.
-	 * 
-	 * @param sx
-	 *            The amount to scale x by.
-	 * @param sy
-	 *            The amount to scale y by.
-	 * @param sz
-	 *            The amount to scale the homogeneous coordinate by.
-	 */
-	public TDHScale(double sx, double sy, double sz) {
-		this.sx = sx;
-		this.sy = sy;
-		this.sz = sz;
-	}
-
-	@Override
-	public TDHTransformType type() {
-		return TDHTransformType.SCALE;
-	}
-
-	@Override
-	public TDHPoint transform(TDHPoint punkt) {
-		double x = punkt.x * sx;
-		double y = punkt.y * sy;
-		double z = punkt.z * sz;
-
-		return new TDHPoint(x, y, z);
-	}
-
-	@Override
-	public double[][] matrix() {
-		return new double[][] { new double[] { sx, 0, 0 }, new double[] { 0, sy, 0 }, new double[] { 0, 0, sz } };
-	}
-
-	public TDHTransform invert() {
-		return new TDHScale(1 / sx, 1 / sy, 1 / sy);
-	}
-
-	@Override
-	public int hashCode() {
-		final int prime = 31;
-		int result = 1;
-		long temp;
-		temp = Double.doubleToLongBits(sx);
-		result = prime * result + (int) (temp ^ (temp >>> 32));
-		temp = Double.doubleToLongBits(sy);
-		result = prime * result + (int) (temp ^ (temp >>> 32));
-		temp = Double.doubleToLongBits(sz);
-		result = prime * result + (int) (temp ^ (temp >>> 32));
-		return result;
-	}
-
-	@Override
-	public boolean equals(Object obj) {
-		if (this == obj)
-			return true;
-		if (obj == null)
-			return false;
-		if (getClass() != obj.getClass())
-			return false;
-		TDHScale other = (TDHScale) obj;
-		if (Double.doubleToLongBits(sx) != Double.doubleToLongBits(other.sx))
-			return false;
-		if (Double.doubleToLongBits(sy) != Double.doubleToLongBits(other.sy))
-			return false;
-		if (Double.doubleToLongBits(sz) != Double.doubleToLongBits(other.sz))
-			return false;
-		return true;
-	}
-
-	@Override
-	public String toString() {
-		return "TDHScale [sx=" + sx + ", sy=" + sy + ", sz=" + sz + "]";
-	}
-}
\ No newline at end of file
diff --git a/CSMath/src/bezier/transforms/TDHShear.java b/CSMath/src/bezier/transforms/TDHShear.java
deleted file mode 100644
index 7dbb4c5..0000000
--- a/CSMath/src/bezier/transforms/TDHShear.java
+++ /dev/null
@@ -1,59 +0,0 @@
-package bezier.transforms;
-
-import bezier.geom.TDHPoint;
-
-public class TDHShear implements TDHTransform {
-	public final double shx;
-	public final double shy;
-
-	@Override
-	public TDHTransformType type() {
-		return TDHTransformType.SHEAR;
-	}
-
-	public TDHShear(double shx, double shy) {
-		this.shx = shx;
-		this.shy = shy;
-	}
-
-	@Override
-	public TDHPoint transform(TDHPoint punkt) {
-		double x = punkt.x + (punkt.y * shx);
-		double y = punkt.y + (punkt.x * shy);
-
-		return new TDHPoint(x, y, punkt.z);
-	}
-
-	@Override
-	public int hashCode() {
-		final int prime = 31;
-		int result = 1;
-		long temp;
-		temp = Double.doubleToLongBits(shx);
-		result = prime * result + (int) (temp ^ (temp >>> 32));
-		temp = Double.doubleToLongBits(shy);
-		result = prime * result + (int) (temp ^ (temp >>> 32));
-		return result;
-	}
-
-	@Override
-	public boolean equals(Object obj) {
-		if (this == obj)
-			return true;
-		if (obj == null)
-			return false;
-		if (getClass() != obj.getClass())
-			return false;
-		TDHShear other = (TDHShear) obj;
-		if (Double.doubleToLongBits(shx) != Double.doubleToLongBits(other.shx))
-			return false;
-		if (Double.doubleToLongBits(shy) != Double.doubleToLongBits(other.shy))
-			return false;
-		return true;
-	}
-
-	@Override
-	public String toString() {
-		return "TDHShear [shx=" + shx + ", shy=" + shy + "]";
-	}
-}
\ No newline at end of file
diff --git a/CSMath/src/bezier/transforms/TDHTransform.java b/CSMath/src/bezier/transforms/TDHTransform.java
deleted file mode 100644
index 3b8c52e..0000000
--- a/CSMath/src/bezier/transforms/TDHTransform.java
+++ /dev/null
@@ -1,54 +0,0 @@
-package bezier.transforms;
-
-import bezier.geom.TDHPoint;
-
-/**
- * Transformation applicable to TDHPoints.
- * 
- * @author bjculkin
- *
- */
-@FunctionalInterface
-public interface TDHTransform {
-	/**
-	 * Get the type of this transform.
-	 * 
-	 * Unknown transformations are assumed to be identity transforms.
-	 * 
-	 * @return The type of this transform.
-	 */
-	default TDHTransformType type() {
-		return TDHTransformType.IDENTITY;
-	}
-
-	/**
-	 * Get the matrix representation of the transform.
-	 * 
-	 * Unknown transformations are assumed to be identity transforms.
-	 * 
-	 * @return The matrix representation of the transform.
-	 */
-	default double[][] matrix() {
-		return new double[][] { new double[] { 1, 0, 0 }, new double[] { 0, 1, 0 }, new double[] { 0, 0, 1 } };
-	}
-
-	/**
-	 * Get the inverse of the transform.
-	 * 
-	 * Unknown transformations are assumed to be identity transforms.
-	 * 
-	 * @return The inverse the transform.
-	 */
-	default TDHTransform invert() {
-		return new TDHIdentity();
-	}
-
-	/**
-	 * Apply the transform to a point.
-	 * 
-	 * @param punkt
-	 *            The point to transform.
-	 * @return A transformed version of the point.
-	 */
-	TDHPoint transform(TDHPoint punkt);
-}
\ No newline at end of file
diff --git a/CSMath/src/bezier/transforms/TDHTransformType.java b/CSMath/src/bezier/transforms/TDHTransformType.java
deleted file mode 100644
index e64c13d..0000000
--- a/CSMath/src/bezier/transforms/TDHTransformType.java
+++ /dev/null
@@ -1,42 +0,0 @@
-package bezier.transforms;
-
-/**
- * Types of transform to apply to TDHPoints.
- * 
- * @author bjculkin
- *
- */
-public enum TDHTransformType {
-	/**
-	 * Coordinate translation.
-	 */
-	TRANSLATE,
-	/**
-	 * Do nothing transform.
-	 */
-	IDENTITY,
-	/**
-	 * Coordinate scaling.
-	 */
-	SCALE,
-	/**
-	 * Coordinate rotation.
-	 */
-	ROTATION,
-	/**
-	 * Coordinate reflection.
-	 */
-	REFLECTION,
-	/**
-	 * Coordinate shearing.
-	 */
-	SHEAR,
-	/**
-	 * Multiple transformations.
-	 */
-	COMBINATION,
-	/**
-	 * Arbitrary matrix transformation.
-	 */
-	MATRIX
-}
\ No newline at end of file
diff --git a/CSMath/src/bezier/transforms/TDHTranslate.java b/CSMath/src/bezier/transforms/TDHTranslate.java
deleted file mode 100644
index 3d2afe9..0000000
--- a/CSMath/src/bezier/transforms/TDHTranslate.java
+++ /dev/null
@@ -1,89 +0,0 @@
-package bezier.transforms;
-
-import bezier.geom.TDHPoint;
-
-/**
- * A transform that does coordinate translation.
- * 
- * @author bjculkin
- *
- */
-public class TDHTranslate implements TDHTransform {
-	/**
-	 * The amount to translate the x-coordinate by.
-	 */
-	public final double h;
-	/**
-	 * The amount to translate the y-coordinate by.
-	 */
-	public final double k;
-
-	/**
-	 * Create a new translation transform.
-	 * 
-	 * @param h
-	 *            The amount to translate x by.
-	 * @param k
-	 *            The amount to translate y by.
-	 */
-	public TDHTranslate(double h, double k) {
-		this.h = h;
-		this.k = k;
-	}
-
-	@Override
-	public TDHTransformType type() {
-		return TDHTransformType.TRANSLATE;
-	}
-
-	@Override
-	public TDHPoint transform(TDHPoint punkt) {
-		double x = punkt.x + (punkt.z * h);
-		double y = punkt.y + (punkt.z * k);
-
-		return new TDHPoint(x, y, punkt.z);
-	}
-
-	@Override
-	public double[][] matrix() {
-		return new double[][] { new double[] { 1, 0, 0 }, new double[] { 0, 1, 0 }, new double[] { h, k, 1 } };
-	}
-
-	@Override
-	public TDHTransform invert() {
-		return new TDHTranslate(-h, -k);
-	}
-
-	@Override
-	public int hashCode() {
-		final int prime = 31;
-		int result = 1;
-		long temp;
-		temp = Double.doubleToLongBits(h);
-		result = prime * result + (int) (temp ^ (temp >>> 32));
-		temp = Double.doubleToLongBits(k);
-		result = prime * result + (int) (temp ^ (temp >>> 32));
-		return result;
-	}
-
-	@Override
-	public boolean equals(Object obj) {
-		if (this == obj)
-			return true;
-		if (obj == null)
-			return false;
-		if (getClass() != obj.getClass())
-			return false;
-		TDHTranslate other = (TDHTranslate) obj;
-		if (Double.doubleToLongBits(h) != Double.doubleToLongBits(other.h))
-			return false;
-		if (Double.doubleToLongBits(k) != Double.doubleToLongBits(other.k))
-			return false;
-		return true;
-	}
-
-	@Override
-	public String toString() {
-		return "TDHTranslate [h=" + h + ", k=" + k + "]";
-	}
-}
\ No newline at end of file
diff --git a/CSMath/src/bezier/transforms/TDHXAxisReflection.java b/CSMath/src/bezier/transforms/TDHXAxisReflection.java
deleted file mode 100644
index 1969b9c..0000000
--- a/CSMath/src/bezier/transforms/TDHXAxisReflection.java
+++ /dev/null
@@ -1,20 +0,0 @@
-package bezier.transforms;
-
-import bezier.geom.TDHPoint;
-
-public class TDHXAxisReflection implements TDHTransform {
-	@Override
-	public TDHTransformType type() {
-		return TDHTransformType.REFLECTION;
-	}
-
-	@Override
-	public TDHPoint transform(TDHPoint punkt) {
-		return new TDHPoint(punkt.x, -punkt.y, punkt.z);
-	}
-
-	@Override
-	public String toString() {
-		return "TDHXAxisReflection []";
-	}
-}
\ No newline at end of file
diff --git a/CSMath/src/bezier/transforms/TDHYAxisReflection.java b/CSMath/src/bezier/transforms/TDHYAxisReflection.java
deleted file mode 100644
index eb462ba..0000000
--- a/CSMath/src/bezier/transforms/TDHYAxisReflection.java
+++ /dev/null
@@ -1,20 +0,0 @@
-package bezier.transforms;
-
-import bezier.geom.TDHPoint;
-
-public class TDHYAxisReflection implements TDHTransform {
-	@Override
-	public TDHTransformType type() {
-		return TDHTransformType.REFLECTION;
-	}
-
-	@Override
-	public TDHPoint transform(TDHPoint punkt) {
-		return new TDHPoint(-punkt.x, punkt.y, punkt.z);
-	}
-
-	@Override
-	public String toString() {
-		return "TDHYAxisReflection []";
-	}
-}
\ No newline at end of file
diff --git a/CSMath/src/bezier/transforms/geom/TDHCombination.java b/CSMath/src/bezier/transforms/geom/TDHCombination.java
new file mode 100644
index 0000000..22a0b40
--- /dev/null
+++ b/CSMath/src/bezier/transforms/geom/TDHCombination.java
@@ -0,0 +1,64 @@
+package bezier.transforms.geom;
+
+import java.util.ArrayList;
+import java.util.List;
+
+import bezier.geom.TDHPoint;
+
+public class TDHCombination implements TDHTransform {
+	public final List<TDHTransform> forms;
+
+	@Override
+	public TDHTransformType type() {
+		return TDHTransformType.COMBINATION;
+	}
+
+	public TDHCombination(TDHTransform... forms) {
+		this.forms = new ArrayList<>(forms.length);
+
+		for (TDHTransform form : forms) {
+			this.forms.add(form);
+		}
+	}
+
+	@Override
+	public TDHPoint transform(TDHPoint punkt) {
+		TDHPoint ret = punkt;
+
+		for (TDHTransform form : forms) {
+			ret = form.transform(ret);
+		}
+
+		return ret;
+	}
+
+	@Override
+	public int hashCode() {
+		final int prime = 31;
+		int result = 1;
+		result = prime * result + ((forms == null) ? 0 : forms.hashCode());
+		return result;
+	}
+
+	@Override
+	public boolean equals(Object obj) {
+		if (this == obj)
+			return true;
+		if (obj == null)
+			return false;
+		if (getClass() != obj.getClass())
+			return false;
+		TDHCombination other = (TDHCombination) obj;
+		if (forms == null) {
+			if (other.forms != null)
+				return false;
+		} else if (!forms.equals(other.forms))
+			return false;
+		return true;
+	}
+
+	@Override
+	public String toString() {
+		return "TDHCombination [forms=" + forms + "]";
+	}
+}
\ No newline at end of file
diff --git a/CSMath/src/bezier/transforms/geom/TDHIdentity.java b/CSMath/src/bezier/transforms/geom/TDHIdentity.java
new file mode 100644
index 0000000..f24d1c9
--- /dev/null
+++ b/CSMath/src/bezier/transforms/geom/TDHIdentity.java
@@ -0,0 +1,21 @@
+package bezier.transforms.geom;
+
+import bezier.geom.TDHPoint;
+
+/**
+ * A transform that does nothing.
+ * 
+ * @author bjculkin
+ *
+ */
+public class TDHIdentity implements TDHTransform {
+	@Override
+	public TDHPoint transform(TDHPoint punkt) {
+		return punkt;
+	}
+
+	@Override
+	public String toString() {
+		return "TDHIdentity []";
+	}
+}
\ No newline at end of file
diff --git a/CSMath/src/bezier/transforms/geom/TDHLineReflection.java b/CSMath/src/bezier/transforms/geom/TDHLineReflection.java
new file mode 100644
index 0000000..cf1e8c2
--- /dev/null
+++ b/CSMath/src/bezier/transforms/geom/TDHLineReflection.java
@@ -0,0 +1,68 @@
+package bezier.transforms.geom;
+
+import bezier.geom.TDHPoint;
+
+public class TDHLineReflection implements TDHTransform {
+	public final double a;
+	public final double b;
+	public final double c;
+
+	public TDHLineReflection(double a, double b, double c) {
+		this.a = a;
+		this.b = b;
+		this.c = c;
+	}
+
+	@Override
+	public TDHTransformType type() {
+		return TDHTransformType.REFLECTION;
+	}
+
+	@Override
+	public TDHPoint transform(TDHPoint punkt) {
+		double com = (a * a - b * b);
+
+		double x = (punkt.x * com) - (2 * a * b * punkt.y) - (2 * a * c * punkt.z);
+		double y = (-2 * a * b * punkt.x) + (punkt.y * com) - (2 * b * c * punkt.z);
+		double z = (punkt.z * com);
+
+		return new TDHPoint(x, y, z);
+	}
+
+	@Override
+	public int hashCode() {
+		final int prime = 31;
+		int result = 1;
+		long temp;
+		temp = Double.doubleToLongBits(a);
+		result = prime * result + (int) (temp ^ (temp >>> 32));
+		temp = Double.doubleToLongBits(b);
+		result = prime * result + (int) (temp ^ (temp >>> 32));
+		temp = Double.doubleToLongBits(c);
+		result = prime * result + (int) (temp ^ (temp >>> 32));
+		return result;
+	}
+
+	@Override
+	public boolean equals(Object obj) {
+		if (this == obj)
+			return true;
+		if (obj == null)
+			return false;
+		if (getClass() != obj.getClass())
+			return false;
+		TDHLineReflection other = (TDHLineReflection) obj;
+		if (Double.doubleToLongBits(a) != Double.doubleToLongBits(other.a))
+			return false;
+		if (Double.doubleToLongBits(b) != Double.doubleToLongBits(other.b))
+			return false;
+		if (Double.doubleToLongBits(c) != Double.doubleToLongBits(other.c))
+			return false;
+		return true;
+	}
+
+	@Override
+	public String toString() {
+		return "TDHLineReflection [a=" + a + ", b=" + b + ", c=" + c + "]";
+	}
+}
\ No newline at end of file
diff --git a/CSMath/src/bezier/transforms/geom/TDHMatrixTransform.java b/CSMath/src/bezier/transforms/geom/TDHMatrixTransform.java
new file mode 100644
index 0000000..ace590d
--- /dev/null
+++ b/CSMath/src/bezier/transforms/geom/TDHMatrixTransform.java
@@ -0,0 +1,32 @@
+package bezier.transforms.geom;
+
+import bezier.geom.Matrix;
+import bezier.geom.TDHPoint;
+
+public class TDHMatrixTransform implements TDHTransform {
+	public final Matrix mat;
+
+	public TDHMatrixTransform(Matrix mat) {
+		this.mat = mat;
+	}
+
+	public TDHMatrixTransform(double[][] mat) {
+		this.mat = new Matrix(mat);
+	}
+
+	@Override
+	public TDHTransformType type() {
+		return TDHTransformType.MATRIX;
+	}
+
+	@Override
+	public TDHPoint transform(TDHPoint punkt) {
+		double[] mult = mat.scalarMultiply(new double[] { punkt.x, punkt.y, punkt.z });
+
+		return new TDHPoint(mult[0], mult[1], mult[2]);
+	}
+
+	public TDHTransform then(TDHMatrixTransform trans) {
+		return new TDHMatrixTransform(mat.multiply(trans.mat));
+	}
+}
\ No newline at end of file
diff --git a/CSMath/src/bezier/transforms/geom/TDHPointRotation.java b/CSMath/src/bezier/transforms/geom/TDHPointRotation.java
new file mode 100644
index 0000000..bc3c716
--- /dev/null
+++ b/CSMath/src/bezier/transforms/geom/TDHPointRotation.java
@@ -0,0 +1,67 @@
+package bezier.transforms.geom;
+
+import bezier.geom.TDHPoint;
+
+public class TDHPointRotation extends TDHRotation {
+	public final double x0;
+	public final double y0;
+
+	public TDHPointRotation(double theta, double x0, double y0) {
+		super(theta);
+
+		this.x0 = x0;
+		this.y0 = y0;
+	}
+
+	@Override
+	public TDHTransformType type() {
+		return TDHTransformType.ROTATION;
+	}
+
+	@Override
+	public TDHPoint transform(TDHPoint punkt) {
+		double x1 = (punkt.x * Math.cos(theta)) - (punkt.y * Math.sin(theta));
+		double y1 = (punkt.x * Math.sin(theta)) - (punkt.y * Math.cos(theta));
+
+		double x2 = (-x0 * Math.cos(theta)) + (y0 * Math.sin(theta)) + x0;
+		double y2 = (-x0 * Math.sin(theta)) - (y0 * Math.cos(theta)) + y0;
+
+		double x = x1 + (punkt.z * x2);
+		double y = y1 + (punkt.z * y2);
+
+		return new TDHPoint(x, y, punkt.z);
+	}
+
+	@Override
+	public int hashCode() {
+		final int prime = 31;
+		int result = super.hashCode();
+		long temp;
+		temp = Double.doubleToLongBits(x0);
+		result = prime * result + (int) (temp ^ (temp >>> 32));
+		temp = Double.doubleToLongBits(y0);
+		result = prime * result + (int) (temp ^ (temp >>> 32));
+		return result;
+	}
+
+	@Override
+	public boolean equals(Object obj) {
+		if (this == obj)
+			return true;
+		if (!super.equals(obj))
+			return false;
+		if (getClass() != obj.getClass())
+			return false;
+		TDHPointRotation other = (TDHPointRotation) obj;
+		if (Double.doubleToLongBits(x0) != Double.doubleToLongBits(other.x0))
+			return false;
+		if (Double.doubleToLongBits(y0) != Double.doubleToLongBits(other.y0))
+			return false;
+		return true;
+	}
+
+	@Override
+	public String toString() {
+		return "TDHPointRotation [x0=" + x0 + ", y0=" + y0 + "]";
+	}
+}
\ No newline at end of file
diff --git a/CSMath/src/bezier/transforms/geom/TDHRotation.java b/CSMath/src/bezier/transforms/geom/TDHRotation.java
new file mode 100644
index 0000000..8870b53
--- /dev/null
+++ b/CSMath/src/bezier/transforms/geom/TDHRotation.java
@@ -0,0 +1,57 @@
+package bezier.transforms.geom;
+
+import bezier.geom.TDHPoint;
+
+public class TDHRotation implements TDHTransform {
+	public final double theta;
+
+	public TDHRotation(double theta) {
+		this.theta = theta;
+	}
+
+	@Override
+	public TDHPoint transform(TDHPoint punkt) {
+		double x = (punkt.x * Math.cos(theta)) - (punkt.y * Math.sin(theta));
+		double y = (punkt.x * Math.sin(theta)) - (punkt.y * Math.cos(theta));
+
+		return new TDHPoint(x, y, punkt.z);
+	}
+
+	public double[][] matrix() {
+		return new double[][] { new double[] { Math.cos(theta), Math.sin(theta), 0 },
+				new double[] { -Math.sin(theta), Math.cos(theta), 0 }, new double[] { 0, 0, 1 } };
+	}
+
+	public TDHTransform invert() {
+		return new TDHRotation(-theta);
+	}
+
+	@Override
+	public int hashCode() {
+		final int prime = 31;
+		int result = 1;
+		long temp;
+		temp = Double.doubleToLongBits(theta);
+		result = prime * result + (int) (temp ^ (temp >>> 32));
+		return result;
+	}
+
+	@Override
+	public boolean equals(Object obj) {
+		if (this == obj)
+			return true;
+		if (obj == null)
+			return false;
+		if (getClass() != obj.getClass())
+			return false;
+		TDHRotation other = (TDHRotation) obj;
+		if (Double.doubleToLongBits(theta) != Double.doubleToLongBits(other.theta))
+			return false;
+		return true;
+	}
+
+	@Override
+	public String toString() {
+		return "TDHRotation [theta=" + theta + "]";
+	}
+}
\ No newline at end of file
diff --git a/CSMath/src/bezier/transforms/geom/TDHScale.java b/CSMath/src/bezier/transforms/geom/TDHScale.java
new file mode 100644
index 0000000..a6db9a9
--- /dev/null
+++ b/CSMath/src/bezier/transforms/geom/TDHScale.java
@@ -0,0 +1,124 @@
+package bezier.transforms.geom;
+
+import bezier.geom.TDHPoint;
+
+/**
+ * Transform that does coordinate scaling.
+ * 
+ * @author bjculkin
+ *
+ */
+public class TDHScale implements TDHTransform {
+	/**
+	 * Amount to scale x by.
+	 */
+	public final double sx;
+	/**
+	 * Amount to scale y by.
+	 */
+	public final double sy;
+	/**
+	 * Amount to scale the homogeneous coordinate by.
+	 */
+	public final double sz;
+
+	/**
+	 * Create a new scaling that scales each coordinate by an equal amount
+	 * 
+	 * @param factor
+	 *            The amount to scale the coordinates by.
+	 */
+	public TDHScale(double factor) {
+		this(factor, factor);
+	}
+
+	/**
+	 * Create a new scaling that scales each coordinate separately.
+	 * 
+	 * @param sx
+	 *            The amount to scale x by.
+	 * @param sy
+	 *            The amount to scale y by.
+	 */
+	public TDHScale(double sx, double sy) {
+		this(sx, sy, 1);
+	}
+
+	/**
+	 * Create a new scaling that scales each coordinate separately.
+	 * 
+	 * Includes the homogeneous coordinate.
+	 * 
+	 * @param sx
+	 *            The amount to scale x by.
+	 * @param sy
+	 *            The amount to scale y by.
+	 * @param sz
+	 *            The amount to scale the homogeneous coordinate by.
+	 */
+	public TDHScale(double sx, double sy, double sz) {
+		this.sx = sx;
+		this.sy = sy;
+		this.sz = sz;
+	}
+
+	@Override
+	public TDHTransformType type() {
+		return TDHTransformType.SCALE;
+	}
+
+	@Override
+	public TDHPoint transform(TDHPoint punkt) {
+		double x = punkt.x * sx;
+		double y = punkt.y * sy;
+		double z = punkt.z * sz;
+
+		return new TDHPoint(x, y, z);
+	}
+
+	@Override
+	public double[][] matrix() {
+		return new double[][] { new double[] { sx, 0, 0 }, new double[] { 0, sy, 0 }, new double[] { 0, 0, sz } };
+	}
+
+	public TDHTransform invert() {
+		return new TDHScale(1 / sx, 1 / sy, 1 / sy);
+	}
+
+	@Override
+	public int hashCode() {
+		final int prime = 31;
+		int result = 1;
+		long temp;
+		temp = Double.doubleToLongBits(sx);
+		result = prime * result + (int) (temp ^ (temp >>> 32));
+		temp = Double.doubleToLongBits(sy);
+		result = prime * result + (int) (temp ^ (temp >>> 32));
+		temp = Double.doubleToLongBits(sz);
+		result = prime * result + (int) (temp ^ (temp >>> 32));
+		return result;
+	}
+
+	@Override
+	public boolean equals(Object obj) {
+		if (this == obj)
+			return true;
+		if (obj == null)
+			return false;
+		if (getClass() != obj.getClass())
+			return false;
+		TDHScale other = (TDHScale) obj;
+		if (Double.doubleToLongBits(sx) != Double.doubleToLongBits(other.sx))
+			return false;
+		if (Double.doubleToLongBits(sy) != Double.doubleToLongBits(other.sy))
+			return false;
+		if (Double.doubleToLongBits(sz) != Double.doubleToLongBits(other.sz))
+			return false;
+		return true;
+	}
+
+	@Override
+	public String toString() {
+		return "TDHScale [sx=" + sx + ", sy=" + sy + ", sz=" + sz + "]";
+	}
+}
\ No newline at end of file
diff --git a/CSMath/src/bezier/transforms/geom/TDHShear.java b/CSMath/src/bezier/transforms/geom/TDHShear.java
new file mode 100644
index 0000000..c0c72ca
--- /dev/null
+++ b/CSMath/src/bezier/transforms/geom/TDHShear.java
@@ -0,0 +1,59 @@
+package bezier.transforms.geom;
+
+import bezier.geom.TDHPoint;
+
+public class TDHShear implements TDHTransform {
+	public final double shx;
+	public final double shy;
+
+	@Override
+	public TDHTransformType type() {
+		return TDHTransformType.SHEAR;
+	}
+
+	public TDHShear(double shx, double shy) {
+		this.shx = shx;
+		this.shy = shy;
+	}
+
+	@Override
+	public TDHPoint transform(TDHPoint punkt) {
+		double x = punkt.x + (punkt.y * shx);
+		double y = punkt.y + (punkt.x * shy);
+
+		return new TDHPoint(x, y, punkt.z);
+	}
+
+	@Override
+	public int hashCode() {
+		final int prime = 31;
+		int result = 1;
+		long temp;
+		temp = Double.doubleToLongBits(shx);
+		result = prime * result + (int) (temp ^ (temp >>> 32));
+		temp = Double.doubleToLongBits(shy);
+		result = prime * result + (int) (temp ^ (temp >>> 32));
+		return result;
+	}
+
+	@Override
+	public boolean equals(Object obj) {
+		if (this == obj)
+			return true;
+		if (obj == null)
+			return false;
+		if (getClass() != obj.getClass())
+			return false;
+		TDHShear other = (TDHShear) obj;
+		if (Double.doubleToLongBits(shx) != Double.doubleToLongBits(other.shx))
+			return false;
+		if (Double.doubleToLongBits(shy) != Double.doubleToLongBits(other.shy))
+			return false;
+		return true;
+	}
+
+	@Override
+	public String toString() {
+		return "TDHShear [shx=" + shx + ", shy=" + shy + "]";
+	}
+}
\ No newline at end of file
diff --git a/CSMath/src/bezier/transforms/geom/TDHTransform.java b/CSMath/src/bezier/transforms/geom/TDHTransform.java
new file mode 100644
index 0000000..20afc53
--- /dev/null
+++ b/CSMath/src/bezier/transforms/geom/TDHTransform.java
@@ -0,0 +1,54 @@
+package bezier.transforms.geom;
+
+import bezier.geom.TDHPoint;
+
+/**
+ * Transformation applicable to TDHPoints.
+ * 
+ * @author bjculkin
+ *
+ */
+@FunctionalInterface
+public interface TDHTransform {
+	/**
+	 * Get the type of this transform.
+	 * 
+	 * Unknown transformations are assumed to be identity transforms.
+	 * 
+	 * @return The type of this transform.
+	 */
+	default TDHTransformType type() {
+		return TDHTransformType.IDENTITY;
+	}
+
+	/**
+	 * Get the matrix representation of the transform.
+	 * 
+	 * Unknown transformations are assumed to be identity transforms.
+	 * 
+	 * @return The matrix representation of the transform.
+	 */
+	default double[][] matrix() {
+		return new double[][] { new double[] { 1, 0, 0 }, new double[] { 0, 1, 0 }, new double[] { 0, 0, 1 } };
+	}
+
+	/**
+	 * Get the inverse of the transform.
+	 * 
+	 * Unknown transformations are assumed to be identity transforms.
+	 * 
+	 * @return The inverse the transform.
+	 */
+	default TDHTransform invert() {
+		return new TDHIdentity();
+	}
+
+	/**
+	 * Apply the transform to a point.
+	 * 
+	 * @param punkt
+	 *            The point to transform.
+	 * @return A transformed version of the point.
+	 */
+	TDHPoint transform(TDHPoint punkt);
+}
\ No newline at end of file
diff --git a/CSMath/src/bezier/transforms/geom/TDHTransformType.java b/CSMath/src/bezier/transforms/geom/TDHTransformType.java
new file mode 100644
index 0000000..909afdc
--- /dev/null
+++ b/CSMath/src/bezier/transforms/geom/TDHTransformType.java
@@ -0,0 +1,42 @@
+package bezier.transforms.geom;
+
+/**
+ * Types of transform to apply to TDHPoints.
+ * 
+ * @author bjculkin
+ *
+ */
+public enum TDHTransformType {
+	/**
+	 * Coordinate translation.
+	 */
+	TRANSLATE,
+	/**
+	 * Do nothing transform.
+	 */
+	IDENTITY,
+	/**
+	 * Coordinate scaling.
+	 */
+	SCALE,
+	/**
+	 * Coordinate rotation.
+	 */
+	ROTATION,
+	/**
+	 * Coordinate reflection.
+	 */
+	REFLECTION,
+	/**
+	 * Coordinate shearing.
+	 */
+	SHEAR,
+	/**
+	 * Multiple transformations.
+	 */
+	COMBINATION,
+	/**
+	 * Arbitrary matrix transformation.
+	 */
+	MATRIX
+}
\ No newline at end of file
diff --git a/CSMath/src/bezier/transforms/geom/TDHTranslate.java b/CSMath/src/bezier/transforms/geom/TDHTranslate.java
new file mode 100644
index 0000000..905711f
--- /dev/null
+++ b/CSMath/src/bezier/transforms/geom/TDHTranslate.java
@@ -0,0 +1,89 @@
+package bezier.transforms.geom;
+
+import bezier.geom.TDHPoint;
+
+/**
+ * A transform that does coordinate translation.
+ * 
+ * @author bjculkin
+ *
+ */
+public class TDHTranslate implements TDHTransform {
+	/**
+	 * The amount to translate the x-coordinate by.
+	 */
+	public final double h;
+	/**
+	 * The amount to translate the y-coordinate by.
+	 */
+	public final double k;
+
+	/**
+	 * Create a new translation transform.
+	 * 
+	 * @param h
+	 *            The amount to translate x by.
+	 * @param k
+	 *            The amount to translate y by.
+	 */
+	public TDHTranslate(double h, double k) {
+		this.h = h;
+		this.k = k;
+	}
+
+	@Override
+	public TDHTransformType type() {
+		return TDHTransformType.TRANSLATE;
+	}
+
+	@Override
+	public TDHPoint transform(TDHPoint punkt) {
+		double x = punkt.x + (punkt.z * h);
+		double y = punkt.y + (punkt.z * k);
+
+		return new TDHPoint(x, y, punkt.z);
+	}
+
+	@Override
+	public double[][] matrix() {
+		return new double[][] { new double[] { 1, 0, 0 }, new double[] { 0, 1, 0 }, new double[] { h, k, 1 } };
+	}
+
+	@Override
+	public TDHTransform invert() {
+		return new TDHTranslate(-h, -k);
+	}
+
+	@Override
+	public int hashCode() {
+		final int prime = 31;
+		int result = 1;
+		long temp;
+		temp = Double.doubleToLongBits(h);
+		result = prime * result + (int) (temp ^ (temp >>> 32));
+		temp = Double.doubleToLongBits(k);
+		result = prime * result + (int) (temp ^ (temp >>> 32));
+		return result;
+	}
+
+	@Override
+	public boolean equals(Object obj) {
+		if (this == obj)
+			return true;
+		if (obj == null)
+			return false;
+		if (getClass() != obj.getClass())
+			return false;
+		TDHTranslate other = (TDHTranslate) obj;
+		if (Double.doubleToLongBits(h) != Double.doubleToLongBits(other.h))
+			return false;
+		if (Double.doubleToLongBits(k) != Double.doubleToLongBits(other.k))
+			return false;
+		return true;
+	}
+
+	@Override
+	public String toString() {
+		return "TDHTranslate [h=" + h + ", k=" + k + "]";
+	}
+}
\ No newline at end of file
diff --git a/CSMath/src/bezier/transforms/geom/TDHXAxisReflection.java b/CSMath/src/bezier/transforms/geom/TDHXAxisReflection.java
new file mode 100644
index 0000000..4b4bffe
--- /dev/null
+++ b/CSMath/src/bezier/transforms/geom/TDHXAxisReflection.java
@@ -0,0 +1,20 @@
+package bezier.transforms.geom;
+
+import bezier.geom.TDHPoint;
+
+public class TDHXAxisReflection implements TDHTransform {
+	@Override
+	public TDHTransformType type() {
+		return TDHTransformType.REFLECTION;
+	}
+
+	@Override
+	public TDHPoint transform(TDHPoint punkt) {
+		return new TDHPoint(punkt.x, -punkt.y, punkt.z);
+	}
+
+	@Override
+	public String toString() {
+		return "TDHXAxisReflection []";
+	}
+}
\ No newline at end of file
diff --git a/CSMath/src/bezier/transforms/geom/TDHYAxisReflection.java b/CSMath/src/bezier/transforms/geom/TDHYAxisReflection.java
new file mode 100644
index 0000000..39e9f18
--- /dev/null
+++ b/CSMath/src/bezier/transforms/geom/TDHYAxisReflection.java
@@ -0,0 +1,20 @@
+package bezier.transforms.geom;
+
+import bezier.geom.TDHPoint;
+
+public class TDHYAxisReflection implements TDHTransform {
+	@Override
+	public TDHTransformType type() {
+		return TDHTransformType.REFLECTION;
+	}
+
+	@Override
+	public TDHPoint transform(TDHPoint punkt) {
+		return new TDHPoint(-punkt.x, punkt.y, punkt.z);
+	}
+
+	@Override
+	public String toString() {
+		return "TDHYAxisReflection []";
+	}
+}
\ No newline at end of file
diff --git a/CSMath/src/bisection/DualExpr.java b/CSMath/src/bisection/DualExpr.java
index 0e16b3a..22cc368 100644
--- a/CSMath/src/bisection/DualExpr.java
+++ b/CSMath/src/bisection/DualExpr.java
@@ -1,4 +1,5 @@
 package bisection;
+
 /**
  * Represents an expression using dual numbers.
  *
@@ -68,11 +69,11 @@ public class DualExpr {
 	/**
 	 * The left (or first) part of the expression.
 	 */
-	public DualExpr left;
+	public DualExpr	left;
 	/**
 	 * The right (or second) part of the expression.
 	 */
-	public DualExpr right;
+	public DualExpr	right;
 
 	/**
 	 * The power to use, for power operations.
@@ -106,12 +107,14 @@ public class DualExpr {
 	}
 
 	/**
-	 * Create a new binary dual number.
-	 *
+	 * Create a new math expression.
+	 * 
 	 * @param type
-	 *                The type of operation to perform.
-	 * @param val
-	 *                The parameter to the value.
+	 *                The math operation to perform
+	 * @param left
+	 *                The left operand
+	 * @param right
+	 *                The right operand.
 	 */
 	public DualExpr(DualExpr.ExprType type, DualExpr left, DualExpr right) {
 		this.type = type;
@@ -207,8 +210,7 @@ public class DualExpr {
 			lval = left.evaluate();
 
 			if (lval.real <= 0) {
-				throw new IllegalArgumentException(
-						"ERROR: Attempted to take non-positive log.");
+				throw new IllegalArgumentException("ERROR: Attempted to take non-positive log.");
 			}
 
 			return new Dual(Math.log(lval.real), lval.dual / lval.real);
-- 
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