From 8518ba0bbc2ca5a70027ec6c4e6d4aac5218f353 Mon Sep 17 00:00:00 2001
From: Gael Guennebaud <g.gael@free.fr>
Date: Wed, 26 Nov 2014 15:01:53 +0100
Subject: Fix Hyperplane::Through(a,b,c) when points are aligned or identical.
 We use the stratgey as in Quaternion::setFromTwoVectors.

---
 test/geo_hyperplane.cpp | 29 +++++++++++++++++++++++++++++
 1 file changed, 29 insertions(+)

(limited to 'test/geo_hyperplane.cpp')

diff --git a/test/geo_hyperplane.cpp b/test/geo_hyperplane.cpp
index ed5928f10..aa744a3ea 100644
--- a/test/geo_hyperplane.cpp
+++ b/test/geo_hyperplane.cpp
@@ -124,6 +124,33 @@ template<typename Scalar> void lines()
   }
 }
 
+template<typename Scalar> void planes()
+{
+  using std::abs;
+  typedef Hyperplane<Scalar, 3> Plane;
+  typedef Matrix<Scalar,3,1> Vector;
+  typedef Matrix<Scalar,4,1> CoeffsType;
+
+  for(int i = 0; i < 10; i++)
+  {
+    Vector v0 = Vector::Random();
+    Vector v1(v0), v2(v0);
+    if(internal::random<double>(0,1)>0.25)
+      v1 += Vector::Random();
+    if(internal::random<double>(0,1)>0.25)
+      v2 += v1 * std::pow(internal::random<Scalar>(0,1),internal::random<int>(1,16));
+    if(internal::random<double>(0,1)>0.25)
+      v2 += Vector::Random() * std::pow(internal::random<Scalar>(0,1),internal::random<int>(1,16));
+
+    Plane p0 = Plane::Through(v0, v1, v2);
+
+    VERIFY_IS_APPROX(p0.normal().norm(), Scalar(1));
+    VERIFY_IS_MUCH_SMALLER_THAN(p0.absDistance(v0), Scalar(1));
+    VERIFY_IS_MUCH_SMALLER_THAN(p0.absDistance(v1), Scalar(1));
+    VERIFY_IS_MUCH_SMALLER_THAN(p0.absDistance(v2), Scalar(1));
+  }
+}
+
 template<typename Scalar> void hyperplane_alignment()
 {
   typedef Hyperplane<Scalar,3,AutoAlign> Plane3a;
@@ -163,5 +190,7 @@ void test_geo_hyperplane()
     CALL_SUBTEST_4( hyperplane(Hyperplane<std::complex<double>,5>()) );
     CALL_SUBTEST_1( lines<float>() );
     CALL_SUBTEST_3( lines<double>() );
+    CALL_SUBTEST_2( planes<float>() );
+    CALL_SUBTEST_5( planes<double>() );
   }
 }
-- 
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