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Diffstat (limited to 'src/jogamp/graph/math')
| -rwxr-xr-x | src/jogamp/graph/math/VectorFloatUtil.java | 293 |
1 files changed, 293 insertions, 0 deletions
diff --git a/src/jogamp/graph/math/VectorFloatUtil.java b/src/jogamp/graph/math/VectorFloatUtil.java new file mode 100755 index 000000000..172cacd09 --- /dev/null +++ b/src/jogamp/graph/math/VectorFloatUtil.java @@ -0,0 +1,293 @@ +/**
+ * Copyright 2010 JogAmp Community. All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without modification, are
+ * permitted provided that the following conditions are met:
+ *
+ * 1. Redistributions of source code must retain the above copyright notice, this list of
+ * conditions and the following disclaimer.
+ *
+ * 2. Redistributions in binary form must reproduce the above copyright notice, this list
+ * of conditions and the following disclaimer in the documentation and/or other materials
+ * provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY JogAmp Community ``AS IS'' AND ANY EXPRESS OR IMPLIED
+ * WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND
+ * FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL JogAmp Community OR
+ * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
+ * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
+ * SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ * ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
+ * NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF
+ * ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ *
+ * The views and conclusions contained in the software and documentation are those of the
+ * authors and should not be interpreted as representing official policies, either expressed
+ * or implied, of JogAmp Community.
+ */
+package jogamp.graph.math;
+
+import java.util.ArrayList;
+
+import com.jogamp.graph.geom.Point;
+
+public class VectorFloatUtil {
+
+ public static final int CW = -1;
+ public static final int CCW = 1;
+ public static final int COLLINEAR = 0;
+
+ /** compute the dot product of two points
+ * @param vec1 vector 1
+ * @param vec2 vector 2
+ * @return the dot product as float
+ */
+ public static float dot(float[] vec1, float[] vec2)
+ {
+ return (vec1[0]*vec2[0] + vec1[1]*vec2[1] + vec1[2]*vec2[2]);
+ }
+ /** Normalize a vector
+ * @param vector input vector
+ * @return normalized vector
+ */
+ public static float[] normalize(float[] vector)
+ {
+ float[] newVector = new float[3];
+
+ float d = MathFloat.sqrt(vector[0]*vector[0] + vector[1]*vector[1] + vector[2]*vector[2]);
+ if(d> 0.0f)
+ {
+ newVector[0] = vector[0]/d;
+ newVector[1] = vector[1]/d;
+ newVector[2] = vector[2]/d;
+ }
+ return newVector;
+ }
+
+ /** Scales a vector by param
+ * @param vector input vector
+ * @param scale constant to scale by
+ * @return scaled vector
+ */
+ public static float[] scale(float[] vector, float scale)
+ {
+ float[] newVector = new float[3];
+
+ newVector[0] = vector[0]*scale;
+ newVector[1] = vector[1]*scale;
+ newVector[2] = vector[2]*scale;
+ return newVector;
+ }
+
+ /** Adds to vectors
+ * @param v1 vector 1
+ * @param v2 vector 2
+ * @return v1 + v2
+ */
+ public static float[] vectorAdd(float[] v1, float[] v2)
+ {
+ float[] newVector = new float[3];
+
+ newVector[0] = v1[0] + v2[0];
+ newVector[1] = v1[1] + v2[1];
+ newVector[2] = v1[2] + v2[2];
+ return newVector;
+ }
+
+ /** cross product vec1 x vec2
+ * @param vec1 vector 1
+ * @param vec2 vecttor 2
+ * @return the resulting vector
+ */
+ public static float[] cross(float[] vec1, float[] vec2)
+ {
+ float[] out = new float[3];
+
+ out[0] = vec2[2]*vec1[1] - vec2[1]*vec1[2];
+ out[1] = vec2[0]*vec1[2] - vec2[2]*vec1[0];
+ out[2] = vec2[1]*vec1[0] - vec2[0]*vec1[1];
+
+ return out;
+ }
+
+ /** Column Matrix Vector multiplication
+ * @param colMatrix column matrix (4x4)
+ * @param vec vector(x,y,z)
+ * @return result new float[3]
+ */
+ public static float[] colMatrixVectorMult(float[] colMatrix, float[] vec)
+ {
+ float[] out = new float[3];
+
+ out[0] = vec[0]*colMatrix[0] + vec[1]*colMatrix[4] + vec[2]*colMatrix[8] + colMatrix[12];
+ out[1] = vec[0]*colMatrix[1] + vec[1]*colMatrix[5] + vec[2]*colMatrix[9] + colMatrix[13];
+ out[2] = vec[0]*colMatrix[2] + vec[1]*colMatrix[6] + vec[2]*colMatrix[10] + colMatrix[14];
+
+ return out;
+ }
+
+ /** Matrix Vector multiplication
+ * @param rawMatrix column matrix (4x4)
+ * @param vec vector(x,y,z)
+ * @return result new float[3]
+ */
+ public static float[] rowMatrixVectorMult(float[] rawMatrix, float[] vec)
+ {
+ float[] out = new float[3];
+
+ out[0] = vec[0]*rawMatrix[0] + vec[1]*rawMatrix[1] + vec[2]*rawMatrix[2] + rawMatrix[3];
+ out[1] = vec[0]*rawMatrix[4] + vec[1]*rawMatrix[5] + vec[2]*rawMatrix[6] + rawMatrix[7];
+ out[2] = vec[0]*rawMatrix[8] + vec[1]*rawMatrix[9] + vec[2]*rawMatrix[10] + rawMatrix[11];
+
+ return out;
+ }
+
+ /** Calculate the midpoint of two values
+ * @param p1 first value
+ * @param p2 second vale
+ * @return midpoint
+ */
+ public static float mid(float p1, float p2)
+ {
+ return (p1+p2)/2.0f;
+ }
+ /** Calculate the midpoint of two points
+ * @param p1 first point
+ * @param p2 second point
+ * @return midpoint
+ */
+ public static float[] mid(float[] p1, float[] p2)
+ {
+ float[] midPoint = new float[3];
+ midPoint[0] = (p1[0] + p2[0])/2.0f;
+ midPoint[1] = (p1[1] + p2[1])/2.0f;
+ midPoint[2] = (p1[2] + p2[2])/2.0f;
+
+ return midPoint;
+ }
+ /** Compute the norm of a vector
+ * @param vec vector
+ * @return vorm
+ */
+ public static float norm(float[] vec)
+ {
+ return MathFloat.sqrt(vec[0]*vec[0] + vec[1]*vec[1] + vec[2]*vec[2]);
+ }
+ /** Compute distance between 2 points
+ * @param p0 a ref point on the line
+ * @param vec vector representing the direction of the line
+ * @param point the point to compute the relative distance of
+ * @return distance float
+ */
+ public static float computeLength(float[] p0, float[] point)
+ {
+ float[] w = new float[]{point[0]-p0[0],point[1]-p0[1],point[2]-p0[2]};
+
+ float distance = MathFloat.sqrt(w[0]*w[0] + w[1]*w[1] + w[2]*w[2]);
+
+ return distance;
+ }
+
+ /**Check equality of 2 vec3 vectors
+ * @param v1 vertex 1
+ * @param v2 vertex 2
+ * @return
+ */
+ public static boolean checkEquality(float[] v1, float[] v2)
+ {
+ if(Float.compare(v1[0], v2[0]) == 0
+ && Float.compare(v1[1] , v2[1]) == 0
+ && Float.compare(v1[2], v2[2]) == 0 )
+ return true;
+ return false;
+ }
+
+ /** Compute the determinant of 3 vectors
+ * @param a vector 1
+ * @param b vector 2
+ * @param c vector 3
+ * @return the determinant value
+ */
+ public static float computeDeterminant(float[] a, float[] b, float[] c)
+ {
+ float area = a[0]*b[1]*c[2] + a[1]*b[2]*c[0] + a[2]*b[0]*c[1] - a[0]*b[2]*c[1] - a[1]*b[0]*c[2] - a[2]*b[1]*c[0];
+ return area;
+ }
+
+ /** Check if three vertices are colliniear
+ * @param v1 vertex 1
+ * @param v2 vertex 2
+ * @param v3 vertex 3
+ * @return true if collinear, false otherwise
+ */
+ public static boolean checkCollinear(float[] v1, float[] v2, float[] v3)
+ {
+ return (computeDeterminant(v1, v2, v3) == VectorFloatUtil.COLLINEAR);
+ }
+
+ /** Compute Vector
+ * @param v1 vertex 1
+ * @param v2 vertex2 2
+ * @return Vector V1V2
+ */
+ public static float[] computeVector(float[] v1, float[] v2)
+ {
+ float[] vector = new float[3];
+ vector[0] = v2[0] - v1[0];
+ vector[1] = v2[1] - v1[1];
+ vector[2] = v2[2] - v1[2];
+ return vector;
+ }
+
+ /** Check if vertices in triangle circumcircle
+ * @param a triangle vertex 1
+ * @param b triangle vertex 2
+ * @param c triangle vertex 3
+ * @param d vertex in question
+ * @return true if the vertex d is inside the circle defined by the
+ * vertices a, b, c. from paper by Guibas and Stolfi (1985).
+ */
+ public static boolean inCircle(Point a, Point b, Point c, Point d){
+ return (a.getX() * a.getX() + a.getY() * a.getY()) * triArea(b, c, d) -
+ (b.getX() * b.getX() + b.getY() * b.getY()) * triArea(a, c, d) +
+ (c.getX() * c.getX() + c.getY() * c.getY()) * triArea(a, b, d) -
+ (d.getX() * d.getX() + d.getY() * d.getY()) * triArea(a, b, c) > 0;
+ }
+
+ /** Computes oriented area of a triangle
+ * @param a first vertex
+ * @param b second vertex
+ * @param c third vertex
+ * @return compute twice the area of the oriented triangle (a,b,c), the area
+ * is positive if the triangle is oriented counterclockwise.
+ */
+ public static float triArea(Point a, Point b, Point c){
+ return (b.getX() - a.getX()) * (c.getY() - a.getY()) - (b.getY() - a.getY())*(c.getX() - a.getX());
+ }
+
+ /** Check if points are in ccw order
+ * @param a first vertex
+ * @param b second vertex
+ * @param c third vertex
+ * @return true if the points a,b,c are in a ccw order
+ */
+ public static boolean ccw(Point a, Point b, Point c){
+ return triArea(a,b,c) > 0;
+ }
+
+ /** Computes the area of a list of vertices to check if ccw
+ * @param vertices
+ * @return positve area if ccw else negative area value
+ */
+ public static float area(ArrayList<Point> vertices) {
+ int n = vertices.size();
+ float area = 0.0f;
+ for (int p = n - 1, q = 0; q < n; p = q++)
+ {
+ float[] pCoord = vertices.get(p).getCoord();
+ float[] qCoord = vertices.get(q).getCoord();
+ area += pCoord[0] * qCoord[1] - qCoord[0] * pCoord[1];
+ }
+ return area;
+ }
+}
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