diff --git a/src/main/java/org/apache/commons/math/transform/FastHadamardTransformer.java b/src/main/java/org/apache/commons/math/transform/FastHadamardTransformer.java
index eb1708053..b510de72e 100644
--- a/src/main/java/org/apache/commons/math/transform/FastHadamardTransformer.java
+++ b/src/main/java/org/apache/commons/math/transform/FastHadamardTransformer.java
@@ -86,29 +86,62 @@ public class FastHadamardTransformer implements RealTransformer {
*
y is the output vector which is our desired result
* a and b are just helper rows
*
- *
- *
- * +----+----------+---------+----------+
- * | x | a | b | y |
- * +----+----------+---------+----------+
- * | x0 | a0=x0+x1 | b0=a0+a1 | y0=b0+b1 |
- * +----+----------+---------+----------+
- * | x1 | a1=x2+x3 | b0=a2+a3 | y0=b2+b3 |
- * +----+----------+---------+----------+
- * | x2 | a2=x4+x5 | b0=a4+a5 | y0=b4+b5 |
- * +----+----------+---------+----------+
- * | x3 | a3=x6+x7 | b0=a6+a7 | y0=b6+b7 |
- * +----+----------+---------+----------+
- * | x4 | a0=x0-x1 | b0=a0-a1 | y0=b0-b1 |
- * +----+----------+---------+----------+
- * | x5 | a1=x2-x3 | b0=a2-a3 | y0=b2-b3 |
- * +----+----------+---------+----------+
- * | x6 | a2=x4-x5 | b0=a4-a5 | y0=b4-b5 |
- * +----+----------+---------+----------+
- * | x7 | a3=x6-x7 | b0=a6-a7 | y0=b6-b7 |
- * +----+----------+---------+----------+
- *
- *
+ *
+ *
+ * x |
+ * a |
+ * b |
+ * y |
+ *
+ *
+ * x0 |
+ * a0 = x0 + x1 |
+ * b0 = a0 + a1 |
+ * y0 = b0+ b1 |
+ *
+ *
+ * x1 |
+ * a1 = x2 + x3 |
+ * b0 = a2 + a3 |
+ * y0 = b2 + b3 |
+ *
+ *
+ * x2 |
+ * a2 = x4 + x5 |
+ * b0 = a4 + a5 |
+ * y0 = b4 + b5 |
+ *
+ *
+ * x3 |
+ * a3 = x6 + x7 |
+ * b0 = a6 + a7 |
+ * y0 = b6 + b7 |
+ *
+ *
+ * x4 |
+ * a0 = x0 - x1 |
+ * b0 = a0 - a1 |
+ * y0 = b0 - b1 |
+ *
+ *
+ * x5 |
+ * a1 = x2 - x3 |
+ * b0 = a2 - a3 |
+ * y0 = b2 - b3 |
+ *
+ *
+ * x6 |
+ * a2 = x4 - x5 |
+ * b0 = a4 - a5 |
+ * y0 = b4 - b5 |
+ *
+ *
+ * x7 |
+ * a3 = x6 - x7 |
+ * b0 = a6 - a7 |
+ * y0 = b6 - b7 |
+ *
+ *
*
* How it works
*
@@ -129,6 +162,21 @@ public class FastHadamardTransformer implements RealTransformer {
*
*
* Visually
+ *
+ *
+ * 0 |
+ * 1 |
+ * 2 |
+ * 3 |
+ * ... |
+ * n + 1 |
+ *
+ *
+ * 0 |
+ * x0 |
+ * ↑ |
+ *
+ *
*
* +--------+---+---+---+-----+---+
* | 0 | 1 | 2 | 3 | ... |n+1|