work in progress for shape operations

A    experimental/Intersection
A    experimental/Intersection/Intersections.h
A    experimental/Intersection/DataTypes.cpp
A    experimental/Intersection/QuadraticReduceOrder.cpp
A    experimental/Intersection/IntersectionUtilities.cpp
A    experimental/Intersection/CubicIntersection_Tests.h
A    experimental/Intersection/LineParameteters_Test.cpp
A    experimental/Intersection/ReduceOrder.cpp
A    experimental/Intersection/QuadraticIntersection.cpp
A    experimental/Intersection/Extrema.h
A    experimental/Intersection/CubicIntersection_TestData.h
A    experimental/Intersection/QuadraticParameterization_Test.cpp
A    experimental/Intersection/TestUtilities.cpp
A    experimental/Intersection/CubicRoots.cpp
A    experimental/Intersection/QuadraticParameterization.cpp
A    experimental/Intersection/QuadraticSubDivide.cpp
A    experimental/Intersection/LineIntersection_Test.cpp
A    experimental/Intersection/LineIntersection.cpp
A    experimental/Intersection/CubicParameterizationCode.cpp
A    experimental/Intersection/LineParameters.h
A    experimental/Intersection/CubicIntersection.h
A    experimental/Intersection/CubeRoot.cpp
A    experimental/Intersection/SkAntiEdge.h
A    experimental/Intersection/ConvexHull_Test.cpp
A    experimental/Intersection/CubicBezierClip_Test.cpp
A    experimental/Intersection/CubicIntersection_Tests.cpp
A    experimental/Intersection/CubicBezierClip.cpp
A    experimental/Intersection/CubicIntersectionT.cpp
A    experimental/Intersection/Inline_Tests.cpp
A    experimental/Intersection/ReduceOrder_Test.cpp
A    experimental/Intersection/QuadraticIntersection_TestData.h
A    experimental/Intersection/DataTypes.h
A    experimental/Intersection/Extrema.cpp
A    experimental/Intersection/EdgeApp.cpp
A    experimental/Intersection/CubicIntersection_TestData.cpp
A    experimental/Intersection/IntersectionUtilities.h
A    experimental/Intersection/CubicReduceOrder.cpp
A    experimental/Intersection/CubicCoincidence.cpp
A    experimental/Intersection/CubicIntersection_Test.cpp
A    experimental/Intersection/CubicIntersection.cpp
A    experimental/Intersection/QuadraticUtilities.h
A    experimental/Intersection/SkAntiEdge.cpp
A    experimental/Intersection/TestUtilities.h
A    experimental/Intersection/CubicParameterization_Test.cpp
A    experimental/Intersection/LineIntersection.h
A    experimental/Intersection/CubicSubDivide.cpp
A    experimental/Intersection/CubicParameterization.cpp
A    experimental/Intersection/QuadraticBezierClip_Test.cpp
A    experimental/Intersection/QuadraticBezierClip.cpp
A    experimental/Intersection/BezierClip_Test.cpp
A    experimental/Intersection/ConvexHull.cpp
A    experimental/Intersection/BezierClip.cpp
A    experimental/Intersection/QuadraticIntersection_TestData.cpp



git-svn-id: http://skia.googlecode.com/svn/trunk@3005 2bbb7eff-a529-9590-31e7-b0007b416f81
diff --git a/experimental/Intersection/LineParameters.h b/experimental/Intersection/LineParameters.h
new file mode 100644
index 0000000..1889622
--- /dev/null
+++ b/experimental/Intersection/LineParameters.h
@@ -0,0 +1,94 @@
+#include "DataTypes.h"
+
+// Sources
+// computer-aided design - volume 22 number 9 november 1990 pp 538 - 549
+// online at http://cagd.cs.byu.edu/~tom/papers/bezclip.pdf
+
+class LineParameters {
+public:
+    void cubicEndPoints(const Cubic& pts) {
+        a = pts[0].y - pts[3].y;
+        b = pts[3].x - pts[0].x;
+        c = pts[0].x * pts[3].y - pts[3].x * pts[0].y;
+    }
+    
+    void cubicEndPoints(const Cubic& pts, int s, int e) {
+        a = pts[s].y - pts[e].y;
+        b = pts[e].x - pts[s].x;
+        c = pts[s].x * pts[e].y - pts[e].x * pts[s].y;
+    }
+    
+    void lineEndPoints(const _Line& pts) {
+        a = pts[0].y - pts[1].y;
+        b = pts[1].x - pts[0].x;
+        c = pts[0].x * pts[1].y - pts[1].x * pts[0].y;
+    }
+    
+    void quadEndPoints(const Quadratic& pts) {
+        a = pts[0].y - pts[2].y;
+        b = pts[2].x - pts[0].x;
+        c = pts[0].x * pts[2].y - pts[2].x * pts[0].y;
+    }
+
+    void quadEndPoints(const Quadratic& pts, int s, int e) {
+        a = pts[s].y - pts[e].y;
+        b = pts[e].x - pts[s].x;
+        c = pts[s].x * pts[e].y - pts[e].x * pts[s].y;
+    }
+
+    double normalSquared() {
+        return a * a + b * b;
+    }
+
+    bool normalize() {
+        double normal = sqrt(normalSquared());
+        if (normal < SquaredEpsilon) {
+            a = b = c = 0;
+            return false;
+        }
+        double reciprocal = 1 / normal;
+        a *= reciprocal;
+        b *= reciprocal;
+        c *= reciprocal;
+        return true;
+    }
+    
+    void cubicDistanceY(const Cubic& pts, Cubic& distance) {
+        double oneThird = 1 / 3.0;
+        for (int index = 0; index < 4; ++index) {
+            distance[index].x = index * oneThird;
+            distance[index].y = a * pts[index].x + b * pts[index].y + c;
+        }
+    }
+
+    void quadDistanceY(const Quadratic& pts, Quadratic& distance) {
+        double oneHalf = 1 / 2.0;
+        for (int index = 0; index < 3; ++index) {
+            distance[index].x = index * oneHalf;
+            distance[index].y = a * pts[index].x + b * pts[index].y + c;
+        }
+    }
+
+    void controlPtDistance(const Cubic& pts, double distance[2]) {
+        for (int index = 0; index < 2; ++index) {
+            distance[index] = a * pts[index + 1].x + b * pts[index + 1].y + c;
+        }
+    }
+    
+    void controlPtDistance(const Cubic& pts, int i, int j, double distance[2]) {
+        distance[0] = a * pts[i].x + b * pts[i].y + c;
+        distance[1] = a * pts[j].x + b * pts[j].y + c;
+    }
+    
+    double controlPtDistance(const Quadratic& pts) {
+        return a * pts[1].x + b * pts[1].y + c;
+    }
+    
+    double pointDistance(const _Point& pt) {
+        return a * pt.x + b * pt.y + c;
+    }
+private:
+    double a;
+    double b;
+    double c;
+};