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Diffstat (limited to 'intern/boolop/intern/BOP_MathUtils.cpp')
-rw-r--r--intern/boolop/intern/BOP_MathUtils.cpp56
1 files changed, 48 insertions, 8 deletions
diff --git a/intern/boolop/intern/BOP_MathUtils.cpp b/intern/boolop/intern/BOP_MathUtils.cpp
index 251bbb9e138..e0d96b465ee 100644
--- a/intern/boolop/intern/BOP_MathUtils.cpp
+++ b/intern/boolop/intern/BOP_MathUtils.cpp
@@ -43,9 +43,38 @@ using namespace std;
*/
int BOP_comp(const MT_Scalar A, const MT_Scalar B)
{
+#ifndef VAR_EPSILON
if (A >= B + BOP_EPSILON) return 1;
else if (B >= A + BOP_EPSILON) return -1;
else return 0;
+#else
+ int expA, expB;
+ float mant;
+ frexp(A, &expA); /* get exponents of each number */
+ frexp(B, &expB);
+
+ if(expA < expB) /* find the larger exponent */
+ expA = expB;
+ mant = frexp((A-B), &expB); /* get exponent of the difference */
+ /* mantissa will only be zero is (A-B) is really zero; otherwise, also
+ * also allow a "reasonably" small exponent or "reasonably large"
+ * difference in exponents to be considers "close to zero" */
+ if( mant == 0 || expB < -30 || expA - expB > 31) return 0;
+ else if( mant > 0) return 1;
+ else return -1;
+#endif
+}
+
+/**
+ * Compares a scalar with EPSILON accuracy.
+ * @param A scalar
+ * @return 1 if A > 0, -1 if A < 0, 0 otherwise
+ */
+int BOP_comp0(const MT_Scalar A)
+{
+ if (A >= BOP_EPSILON) return 1;
+ else if (0 >= A + BOP_EPSILON) return -1;
+ else return 0;
}
/**
@@ -56,6 +85,7 @@ int BOP_comp(const MT_Scalar A, const MT_Scalar B)
*/
int BOP_comp(const MT_Tuple3& A, const MT_Tuple3& B)
{
+#ifndef VAR_EPSILON
if (A.x() >= (B.x() + BOP_EPSILON)) return 1;
else if (B.x() >= (A.x() + BOP_EPSILON)) return -1;
else if (A.y() >= (B.y() + BOP_EPSILON)) return 1;
@@ -63,6 +93,13 @@ int BOP_comp(const MT_Tuple3& A, const MT_Tuple3& B)
else if (A.z() >= (B.z() + BOP_EPSILON)) return 1;
else if (B.z() >= (A.z() + BOP_EPSILON)) return -1;
else return 0;
+#else
+ int result = BOP_comp(A.x(), B.x());
+ if (result != 0) return result;
+ result = BOP_comp(A.y(), B.y());
+ if (result != 0) return result;
+ return BOP_comp(A.z(), B.z());
+#endif
}
/**
@@ -116,17 +153,20 @@ bool BOP_between(const MT_Point3& p1, const MT_Point3& p2, const MT_Point3& p3)
*/
bool BOP_collinear(const MT_Point3& p1, const MT_Point3& p2, const MT_Point3& p3)
{
+ if( BOP_comp(p1,p2) == 0 || BOP_comp(p2,p3) == 0 ) return true;
+
MT_Vector3 v1 = p2 - p1;
MT_Vector3 v2 = p3 - p2;
/* normalize vectors before taking their cross product, so its length
* has some actual meaning */
+ // if(MT_fuzzyZero(v1.length()) || MT_fuzzyZero(v2.length())) return true;
v1.normalize();
v2.normalize();
MT_Vector3 w = v1.cross(v2);
- return (BOP_comp(w.x(),0.0) == 0) && (BOP_comp(w.y(),0.0) == 0) && (BOP_comp(w.z(),0.0) == 0);
+ return (BOP_fuzzyZero(w.x()) && BOP_fuzzyZero(w.y()) && BOP_fuzzyZero(w.z()));
}
/**
@@ -192,17 +232,17 @@ bool BOP_intersect(const MT_Vector3& vL1, const MT_Point3& pL1, const MT_Vector3
MT_Scalar t = -1;
MT_Scalar den = (vL1.y()*vL2.x() - vL1.x() * vL2.y());
- if (BOP_comp(den,0)) {
+ if (!BOP_fuzzyZero(den)) {
t = (pL2.y()*vL1.x() - vL1.y()*pL2.x() + pL1.x()*vL1.y() - pL1.y()*vL1.x()) / den ;
}
else {
den = (vL1.y()*vL2.z() - vL1.z() * vL2.y());
- if (BOP_comp(den,0)) {
+ if (!BOP_fuzzyZero(den)) {
t = (pL2.y()*vL1.z() - vL1.y()*pL2.z() + pL1.z()*vL1.y() - pL1.y()*vL1.z()) / den ;
}
else {
den = (vL1.x()*vL2.z() - vL1.z() * vL2.x());
- if (BOP_comp(den,0)) {
+ if (!BOP_fuzzyZero(den)) {
t = (pL2.x()*vL1.z() - vL1.x()*pL2.z() + pL1.z()*vL1.x() - pL1.x()*vL1.z()) / den ;
}
else {
@@ -326,7 +366,7 @@ MT_Scalar BOP_orientation(const MT_Plane3& p1, const MT_Plane3& p2)
int BOP_classify(const MT_Point3& p, const MT_Plane3& plane)
{
// Compare plane - point distance with zero
- return BOP_comp(plane.signedDistance(p),0);
+ return BOP_comp0(plane.signedDistance(p));
}
/**
@@ -368,7 +408,7 @@ MT_Point3 BOP_intersectPlane(const MT_Plane3& plane, const MT_Point3& p1, const
*/
bool BOP_containsPoint(const MT_Plane3& plane, const MT_Point3& point)
{
- return BOP_comp(plane.signedDistance(point),0) == 0;
+ return BOP_fuzzyZero(plane.signedDistance(point));
}
/**
@@ -424,8 +464,8 @@ MT_Scalar BOP_EpsilonDistance(const MT_Point3& p0, const MT_Point3& p1, const MT
MT_Scalar d1 = p0.distance(q);
MT_Scalar d;
- if (BOP_comp(d0,0)==0) d = 1.0;
- else if (BOP_comp(d1,0)==0) d = 0.0;
+ if (BOP_fuzzyZero(d0)) d = 1.0;
+ else if (BOP_fuzzyZero(d1)) d = 0.0;
else d = d1 / d0;
return d;
}