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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;
}
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