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+/* cocos2d for iPhone
+ * http://www.cocos2d-iphone.org
+ *
+ * Copyright (c) 2007 Scott Lembcke
+ *
+ * Copyright (c) 2010 Lam Pham
+ *
+ * Permission is hereby granted, free of charge, to any person obtaining a copy
+ * of this software and associated documentation files (the "Software"), to deal
+ * in the Software without restriction, including without limitation the rights
+ * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+ * copies of the Software, and to permit persons to whom the Software is
+ * furnished to do so, subject to the following conditions:
+ * 
+ * The above copyright notice and this permission notice shall be included in
+ * all copies or substantial portions of the Software.
+ * 
+ * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+ * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+ * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+ * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+ * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+ * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
+ * SOFTWARE.
+ */
+
+#include "stdio.h"
+#include "math.h"
+
+#import "../ccMacros.h"         // CC_SWAP
+#include "CGPointExtension.h"
+
+#define kCGPointEpsilon FLT_EPSILON
+
+CGFloat
+ccpLength(const CGPoint v)
+{
+        return sqrtf(ccpLengthSQ(v));
+}
+
+CGFloat
+ccpDistance(const CGPoint v1, const CGPoint v2)
+{
+        return ccpLength(ccpSub(v1, v2));
+}
+
+CGPoint
+ccpNormalize(const CGPoint v)
+{
+        return ccpMult(v, 1.0f/ccpLength(v));
+}
+
+CGPoint
+ccpForAngle(const CGFloat a)
+{
+        return ccp(cosf(a), sinf(a));
+}
+
+CGFloat
+ccpToAngle(const CGPoint v)
+{
+        return atan2f(v.y, v.x);
+}
+
+CGPoint ccpLerp(CGPoint a, CGPoint b, float alpha)
+{
+        return ccpAdd(ccpMult(a, 1.f - alpha), ccpMult(b, alpha));
+}
+
+float clampf(float value, float min_inclusive, float max_inclusive)
+{
+        if (min_inclusive > max_inclusive) {
+                CC_SWAP(min_inclusive,max_inclusive);
+        }
+        return value < min_inclusive ? min_inclusive : value < max_inclusive? value : max_inclusive;
+}
+
+CGPoint ccpClamp(CGPoint p, CGPoint min_inclusive, CGPoint max_inclusive)
+{
+        return ccp(clampf(p.x,min_inclusive.x,max_inclusive.x), clampf(p.y, min_inclusive.y, max_inclusive.y));
+}
+
+CGPoint ccpFromSize(CGSize s)
+{
+        return ccp(s.width, s.height);
+}
+
+CGPoint ccpCompOp(CGPoint p, float (*opFunc)(float))
+{
+        return ccp(opFunc(p.x), opFunc(p.y));
+}
+
+BOOL ccpFuzzyEqual(CGPoint a, CGPoint b, float var)
+{
+        if(a.x - var <= b.x && b.x <= a.x + var)
+                if(a.y - var <= b.y && b.y <= a.y + var)
+                        return true;
+        return false;
+}
+
+CGPoint ccpCompMult(CGPoint a, CGPoint b)
+{
+        return ccp(a.x * b.x, a.y * b.y);
+}
+
+float ccpAngleSigned(CGPoint a, CGPoint b)
+{
+        CGPoint a2 = ccpNormalize(a);
+        CGPoint b2 = ccpNormalize(b);
+        float angle = atan2f(a2.x * b2.y - a2.y * b2.x, ccpDot(a2, b2));
+        if( fabs(angle) < kCGPointEpsilon ) return 0.f;
+        return angle;
+}
+
+CGPoint ccpRotateByAngle(CGPoint v, CGPoint pivot, float angle)
+{
+        CGPoint r = ccpSub(v, pivot);
+        float cosa = cosf(angle), sina = sinf(angle);
+        float t = r.x;
+        r.x = t*cosa - r.y*sina + pivot.x;
+        r.y = t*sina + r.y*cosa + pivot.y;
+        return r;
+}
+
+
+BOOL ccpSegmentIntersect(CGPoint A, CGPoint B, CGPoint C, CGPoint D)
+{
+        float S, T;
+
+        if( ccpLineIntersect(A, B, C, D, &S, &T )
+           && (S >= 0.0f && S <= 1.0f && T >= 0.0f && T <= 1.0f) )
+                return YES;
+
+        return NO;
+}
+
+CGPoint ccpIntersectPoint(CGPoint A, CGPoint B, CGPoint C, CGPoint D)
+{
+        float S, T;
+
+        if( ccpLineIntersect(A, B, C, D, &S, &T) ) {
+                // Point of intersection
+                CGPoint P;
+                P.x = A.x + S * (B.x - A.x);
+                P.y = A.y + S * (B.y - A.y);
+                return P;
+        }
+
+        return CGPointZero;
+}
+
+BOOL ccpLineIntersect(CGPoint A, CGPoint B,
+                                          CGPoint C, CGPoint D,
+                                          float *S, float *T)
+{    
+        // FAIL: Line undefined
+        if ( (A.x==B.x && A.y==B.y) || (C.x==D.x && C.y==D.y) ) return NO;
+
+        const float BAx = B.x - A.x;
+        const float BAy = B.y - A.y;
+        const float DCx = D.x - C.x;
+        const float DCy = D.y - C.y;
+        const float ACx = A.x - C.x;
+        const float ACy = A.y - C.y;
+
+        const float denom = DCy*BAx - DCx*BAy;
+
+        *S = DCx*ACy - DCy*ACx;
+        *T = BAx*ACy - BAy*ACx;
+
+        if (denom == 0) {
+                if (*S == 0 || *T == 0) { 
+                        // Lines incident
+                        return YES;   
+                }
+                // Lines parallel and not incident
+                return NO;
+        }
+
+        *S = *S / denom;
+        *T = *T / denom;
+
+        // Point of intersection
+        // CGPoint P;
+        // P.x = A.x + *S * (B.x - A.x);
+        // P.y = A.y + *S * (B.y - A.y);
+
+        return YES;
+}
+
+float ccpAngle(CGPoint a, CGPoint b)
+{
+        float angle = acosf(ccpDot(ccpNormalize(a), ccpNormalize(b)));
+        if( fabs(angle) < kCGPointEpsilon ) return 0.f;
+        return angle;
+}