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Diffstat (limited to 'src/gleem/linalg/Line.java')
-rw-r--r-- | src/gleem/linalg/Line.java | 152 |
1 files changed, 152 insertions, 0 deletions
diff --git a/src/gleem/linalg/Line.java b/src/gleem/linalg/Line.java new file mode 100644 index 0000000..cbf8efd --- /dev/null +++ b/src/gleem/linalg/Line.java @@ -0,0 +1,152 @@ +/* + * gleem -- OpenGL Extremely Easy-To-Use Manipulators. + * Copyright (C) 1998-2003 Kenneth B. Russell ([email protected]) + * + * Copying, distribution and use of this software in source and binary + * forms, with or without modification, is permitted provided that the + * following conditions are met: + * + * Distributions of source code must reproduce the copyright notice, + * this list of conditions and the following disclaimer in the source + * code header files; and Distributions of binary code must reproduce + * the copyright notice, this list of conditions and the following + * disclaimer in the documentation, Read me file, license file and/or + * other materials provided with the software distribution. + * + * The names of Sun Microsystems, Inc. ("Sun") and/or the copyright + * holder may not be used to endorse or promote products derived from + * this software without specific prior written permission. + * + * THIS SOFTWARE IS PROVIDED "AS IS," WITHOUT A WARRANTY OF ANY + * KIND. ALL EXPRESS OR IMPLIED CONDITIONS, REPRESENTATIONS AND + * WARRANTIES, INCLUDING ANY IMPLIED WARRANTY OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE, NON-INTERFERENCE, ACCURACY OF + * INFORMATIONAL CONTENT OR NON-INFRINGEMENT, ARE HEREBY EXCLUDED. THE + * COPYRIGHT HOLDER, SUN AND SUN'S LICENSORS SHALL NOT BE LIABLE FOR + * ANY DAMAGES SUFFERED BY LICENSEE AS A RESULT OF USING, MODIFYING OR + * DISTRIBUTING THIS SOFTWARE OR ITS DERIVATIVES. IN NO EVENT WILL THE + * COPYRIGHT HOLDER, SUN OR SUN'S LICENSORS BE LIABLE FOR ANY LOST + * REVENUE, PROFIT OR DATA, OR FOR DIRECT, INDIRECT, SPECIAL, + * CONSEQUENTIAL, INCIDENTAL OR PUNITIVE DAMAGES, HOWEVER CAUSED AND + * REGARDLESS OF THE THEORY OF LIABILITY, ARISING OUT OF THE USE OF OR + * INABILITY TO USE THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY + * OF SUCH DAMAGES. YOU ACKNOWLEDGE THAT THIS SOFTWARE IS NOT + * DESIGNED, LICENSED OR INTENDED FOR USE IN THE DESIGN, CONSTRUCTION, + * OPERATION OR MAINTENANCE OF ANY NUCLEAR FACILITY. THE COPYRIGHT + * HOLDER, SUN AND SUN'S LICENSORS DISCLAIM ANY EXPRESS OR IMPLIED + * WARRANTY OF FITNESS FOR SUCH USES. + */ + +package gleem.linalg; + +/** Represents a line in 3D space. */ + +public class Line { + private Vec3f point; + /** Normalized */ + private Vec3f direction; + /** For computing projections along line */ + private Vec3f alongVec; + + /** Default constructor initializes line to point (0, 0, 0) and + direction (1, 0, 0) */ + public Line() { + point = new Vec3f(0, 0, 0); + direction = new Vec3f(1, 0, 0); + alongVec = new Vec3f(); + recalc(); + } + + /** Line goes in direction <b>direction</b> through the point + <b>point</b>. <b>direction</b> does not need to be normalized but must + not be the zero vector. */ + public Line(Vec3f direction, Vec3f point) { + direction = new Vec3f(direction); + direction.normalize(); + point = new Vec3f(point); + alongVec = new Vec3f(); + recalc(); + } + + /** Setter does some work to maintain internal caches. + <b>direction</b> does not need to be normalized but must not be + the zero vector. */ + public void setDirection(Vec3f direction) { + this.direction.set(direction); + this.direction.normalize(); + recalc(); + } + + /** Direction is normalized internally, so <b>direction</b> is not + necessarily equal to <code>plane.setDirection(direction); + plane.getDirection();</code> */ + public Vec3f getDirection() { + return direction; + } + + /** Setter does some work to maintain internal caches. */ + public void setPoint(Vec3f point) { + this.point.set(point); + recalc(); + } + + public Vec3f getPoint() { + return point; + } + + /** Project a point onto the line */ + public void projectPoint(Vec3f pt, + Vec3f projPt) { + float dotp = direction.dot(pt); + projPt.set(direction); + projPt.scale(dotp); + projPt.add(alongVec); + } + + /** Find closest point on this line to the given ray, specified by + start point and direction. If ray is parallel to this line, + returns false and closestPoint is not modified. */ + public boolean closestPointToRay(Vec3f rayStart, + Vec3f rayDirection, + Vec3f closestPoint) { + // Line 1 is this one. Line 2 is the incoming one. + Mat2f A = new Mat2f(); + A.set(0, 0, -direction.lengthSquared()); + A.set(1, 1, -rayDirection.lengthSquared()); + A.set(0, 1, direction.dot(rayDirection)); + A.set(1, 0, A.get(0, 1)); + if (Math.abs(A.determinant()) == 0.0f) { + return false; + } + if (!A.invert()) { + return false; + } + Vec2f b = new Vec2f(); + b.setX(point.dot(direction) - rayStart.dot(direction)); + b.setY(rayStart.dot(rayDirection) - point.dot(rayDirection)); + Vec2f x = new Vec2f(); + A.xformVec(b, x); + if (x.y() < 0) { + // Means that ray start is closest point to this line + closestPoint.set(rayStart); + } else { + closestPoint.set(direction); + closestPoint.scale(x.x()); + closestPoint.add(point); + } + return true; + } + + //---------------------------------------------------------------------- + // Internals only below this point + // + + private void recalc() { + float denom = direction.lengthSquared(); + if (denom == 0.0f) { + throw new RuntimeException("Line.recalc: ERROR: direction was the zero vector " + + "(not allowed)"); + } + alongVec.set(point.minus(direction.times(point.dot(direction)))); + } +} |