Vector3D.crossProduct is sensitive to numerical cancellation
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Key: MATH-554
URL: https://issues.apache.org/jira/browse/MATH-554
Project: Commons Math
Issue Type: Bug
Affects Versions: 2.2
Environment: Linux, Sun JDK 1.5.0.22
Reporter: Luc Maisonobe
Assignee: Luc Maisonobe
Fix For: 3.0
Cross product implementation uses the naive formulas (y1 z2 - y2 z1, ...).
These formulas fail when vectors are almost colinear, like in the following
example:
{code}
Vector3D v1 = new Vector3D(9070467121.0, 4535233560.0, 1);
Vector3D v2 = new Vector3D(9070467123.0, 4535233561.0, 1);
System.out.println(Vector3D.crossProduct(v1, v2));
{code}
The previous code displays { -1, 2, 0 } instead of the correct answer { -1, 2,
1 }
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