axmol/cocos2dx/support/CCPointExtension.cpp

/****************************************************************************
Copyright (c) 2010-2011 cocos2d-x.org
Copyright (c) 2007      Scott Lembcke
Copyright (c) 2010      Lam Pham

http://www.cocos2d-x.org

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all copies or substantial portions of the Software.

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IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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****************************************************************************/

#include "CCPointExtension.h"
#include "ccMacros.h" // FLT_EPSILON
#include <stdio.h>
namespace   cocos2d {

#define kCCPointEpsilon FLT_EPSILON

CGFloat
ccpLength(const CCPoint& v)
{
	return sqrtf(ccpLengthSQ(v));
}

CGFloat
ccpDistance(const CCPoint& v1, const CCPoint& v2)
{
	return ccpLength(ccpSub(v1, v2));
}

CCPoint
ccpNormalize(const CCPoint& v)
{
	return ccpMult(v, 1.0f/ccpLength(v));
}

CCPoint
ccpForAngle(const CGFloat a)
{
	return ccp(cosf(a), sinf(a));
}

CGFloat
ccpToAngle(const CCPoint& v)
{
	return atan2f(v.y, v.x);
}

CCPoint ccpLerp(const CCPoint& a, const CCPoint& 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, float);
	}
	return value < min_inclusive ? min_inclusive : value < max_inclusive? value : max_inclusive;
}

CCPoint ccpClamp(const CCPoint& p, const CCPoint& min_inclusive, const CCPoint& max_inclusive)
{
	return ccp(clampf(p.x,min_inclusive.x,max_inclusive.x), clampf(p.y, min_inclusive.y, max_inclusive.y));
}

CCPoint ccpFromSize(const CCSize& s)
{
	return ccp(s.width, s.height);
}

CCPoint ccpCompOp(const CCPoint& p, float (*opFunc)(float))
{
	return ccp(opFunc(p.x), opFunc(p.y));
}

bool ccpFuzzyEqual(const CCPoint& a, const CCPoint& 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;
}

CCPoint ccpCompMult(const CCPoint& a, const CCPoint& b)
{
	return ccp(a.x * b.x, a.y * b.y);
}

float ccpAngleSigned(const CCPoint& a, const CCPoint& b)
{
	CCPoint a2 = ccpNormalize(a);
    CCPoint b2 = ccpNormalize(b);
	float angle = atan2f(a2.x * b2.y - a2.y * b2.x, ccpDot(a2, b2));
	if( fabs(angle) < kCCPointEpsilon ) return 0.f;
	return angle;
}

CCPoint ccpRotateByAngle(const CCPoint& v, const CCPoint& pivot, float angle)
{
	CCPoint 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(const CCPoint& A, const CCPoint& B, const CCPoint& C, const CCPoint& 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 true;

    return false;
}

CCPoint ccpIntersectPoint(const CCPoint& A, const CCPoint& B, const CCPoint& C, const CCPoint& D)
{
    float S, T;

    if( ccpLineIntersect(A, B, C, D, &S, &T) )
    {
        // Point of intersection
        CCPoint P;
        P.x = A.x + S * (B.x - A.x);
        P.y = A.y + S * (B.y - A.y);
        return P;
    }

    return CCPointZero;
}

bool ccpLineIntersect(const CCPoint& A, const CCPoint& B, 
					  const CCPoint& C, const CCPoint& 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 false;
    }
    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 true;   
        }
        // Lines parallel and not incident
        return false;
    }

    *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 true;
}

float ccpAngle(const CCPoint& a, const CCPoint& b)
{
	float angle = acosf(ccpDot(ccpNormalize(a), ccpNormalize(b)));
	if( fabs(angle) < kCCPointEpsilon ) return 0.f;
	return angle;
}
}//namespace   cocos2d