2014-04-02 10:33:07 +08:00
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#include "Vector2.h"
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2014-04-27 01:11:22 +08:00
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#include "2d/ccMacros.h"
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2014-04-02 11:21:48 +08:00
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#include "MathUtil.h"
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2014-04-02 10:33:07 +08:00
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2014-04-02 12:09:51 +08:00
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NS_CC_MATH_BEGIN
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2014-04-02 10:33:07 +08:00
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2014-04-15 11:58:08 +08:00
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// returns true if segment A-B intersects with segment C-D. S->E is the ovderlap part
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bool isOneDimensionSegmentOverlap(float A, float B, float C, float D, float *S, float * E)
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{
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float ABmin = MIN(A, B);
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float ABmax = MAX(A, B);
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float CDmin = MIN(C, D);
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float CDmax = MAX(C, D);
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if (ABmax < CDmin || CDmax < ABmin)
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{
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// ABmin->ABmax->CDmin->CDmax or CDmin->CDmax->ABmin->ABmax
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return false;
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}
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else
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{
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if (ABmin >= CDmin && ABmin <= CDmax)
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{
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// CDmin->ABmin->CDmax->ABmax or CDmin->ABmin->ABmax->CDmax
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if (S != nullptr) *S = ABmin;
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if (E != nullptr) *E = CDmax < ABmax ? CDmax : ABmax;
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}
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else if (ABmax >= CDmin && ABmax <= CDmax)
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{
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// ABmin->CDmin->ABmax->CDmax
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if (S != nullptr) *S = CDmin;
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if (E != nullptr) *E = ABmax;
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}
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else
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{
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// ABmin->CDmin->CDmax->ABmax
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if (S != nullptr) *S = CDmin;
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if (E != nullptr) *E = CDmax;
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}
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return true;
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}
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}
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// cross procuct of 2 vector. A->B X C->D
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float crossProduct2Vector(const Vector2& A, const Vector2& B, const Vector2& C, const Vector2& D)
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{
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return (D.y - C.y) * (B.x - A.x) - (D.x - C.x) * (B.y - A.y);
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}
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2014-04-02 10:33:07 +08:00
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Vector2::Vector2()
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: x(0.0f), y(0.0f)
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{
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}
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2014-04-16 10:27:17 +08:00
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Vector2::Vector2(float xx, float yy)
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: x(xx), y(yy)
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2014-04-02 10:33:07 +08:00
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{
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}
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Vector2::Vector2(const float* array)
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{
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set(array);
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}
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Vector2::Vector2(const Vector2& p1, const Vector2& p2)
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{
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set(p1, p2);
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}
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Vector2::Vector2(const Vector2& copy)
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{
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set(copy);
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}
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Vector2::~Vector2()
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{
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}
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const Vector2& Vector2::zero()
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{
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static Vector2 value(0.0f, 0.0f);
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return value;
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}
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const Vector2& Vector2::one()
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{
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static Vector2 value(1.0f, 1.0f);
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return value;
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}
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const Vector2& Vector2::unitX()
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{
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static Vector2 value(1.0f, 0.0f);
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return value;
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}
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const Vector2& Vector2::unitY()
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{
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static Vector2 value(0.0f, 1.0f);
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return value;
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}
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bool Vector2::isZero() const
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{
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return x == 0.0f && y == 0.0f;
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}
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bool Vector2::isOne() const
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{
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return x == 1.0f && y == 1.0f;
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}
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float Vector2::angle(const Vector2& v1, const Vector2& v2)
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{
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float dz = v1.x * v2.y - v1.y * v2.x;
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return atan2f(fabsf(dz) + MATH_FLOAT_SMALL, dot(v1, v2));
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}
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void Vector2::add(const Vector2& v)
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{
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x += v.x;
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y += v.y;
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}
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void Vector2::add(const Vector2& v1, const Vector2& v2, Vector2* dst)
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{
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GP_ASSERT(dst);
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dst->x = v1.x + v2.x;
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dst->y = v1.y + v2.y;
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}
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void Vector2::clamp(const Vector2& min, const Vector2& max)
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{
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GP_ASSERT(!(min.x > max.x || min.y > max.y ));
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// Clamp the x value.
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if (x < min.x)
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x = min.x;
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if (x > max.x)
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x = max.x;
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// Clamp the y value.
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if (y < min.y)
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y = min.y;
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if (y > max.y)
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y = max.y;
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}
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void Vector2::clamp(const Vector2& v, const Vector2& min, const Vector2& max, Vector2* dst)
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{
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GP_ASSERT(dst);
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GP_ASSERT(!(min.x > max.x || min.y > max.y ));
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// Clamp the x value.
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dst->x = v.x;
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if (dst->x < min.x)
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dst->x = min.x;
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if (dst->x > max.x)
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dst->x = max.x;
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// Clamp the y value.
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dst->y = v.y;
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if (dst->y < min.y)
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dst->y = min.y;
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if (dst->y > max.y)
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dst->y = max.y;
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}
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float Vector2::distance(const Vector2& v) const
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{
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float dx = v.x - x;
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float dy = v.y - y;
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return sqrt(dx * dx + dy * dy);
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}
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float Vector2::distanceSquared(const Vector2& v) const
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{
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float dx = v.x - x;
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float dy = v.y - y;
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return (dx * dx + dy * dy);
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}
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float Vector2::dot(const Vector2& v) const
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{
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return (x * v.x + y * v.y);
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}
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float Vector2::dot(const Vector2& v1, const Vector2& v2)
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{
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return (v1.x * v2.x + v1.y * v2.y);
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}
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float Vector2::length() const
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{
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return sqrt(x * x + y * y);
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}
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float Vector2::lengthSquared() const
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{
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return (x * x + y * y);
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}
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void Vector2::negate()
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{
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x = -x;
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y = -y;
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}
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Vector2& Vector2::normalize()
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{
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normalize(this);
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return *this;
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}
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void Vector2::normalize(Vector2* dst) const
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{
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GP_ASSERT(dst);
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if (dst != this)
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{
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dst->x = x;
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dst->y = y;
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}
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float n = x * x + y * y;
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// Already normalized.
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if (n == 1.0f)
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return;
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n = sqrt(n);
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// Too close to zero.
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if (n < MATH_TOLERANCE)
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return;
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n = 1.0f / n;
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dst->x *= n;
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dst->y *= n;
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}
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void Vector2::scale(float scalar)
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{
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x *= scalar;
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y *= scalar;
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}
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void Vector2::scale(const Vector2& scale)
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{
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x *= scale.x;
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y *= scale.y;
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}
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void Vector2::rotate(const Vector2& point, float angle)
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{
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double sinAngle = sin(angle);
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double cosAngle = cos(angle);
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if (point.isZero())
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{
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float tempX = x * cosAngle - y * sinAngle;
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y = y * cosAngle + x * sinAngle;
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x = tempX;
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}
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else
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{
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float tempX = x - point.x;
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float tempY = y - point.y;
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x = tempX * cosAngle - tempY * sinAngle + point.x;
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y = tempY * cosAngle + tempX * sinAngle + point.y;
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}
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}
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2014-04-16 10:27:17 +08:00
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void Vector2::set(float xx, float yy)
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2014-04-02 10:33:07 +08:00
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{
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2014-04-16 10:27:17 +08:00
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this->x = xx;
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this->y = yy;
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2014-04-02 10:33:07 +08:00
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}
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void Vector2::set(const float* array)
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{
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GP_ASSERT(array);
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x = array[0];
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y = array[1];
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}
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void Vector2::set(const Vector2& v)
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{
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this->x = v.x;
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this->y = v.y;
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}
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void Vector2::set(const Vector2& p1, const Vector2& p2)
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{
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x = p2.x - p1.x;
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y = p2.y - p1.y;
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}
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void Vector2::subtract(const Vector2& v)
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{
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x -= v.x;
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y -= v.y;
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}
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void Vector2::subtract(const Vector2& v1, const Vector2& v2, Vector2* dst)
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{
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GP_ASSERT(dst);
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dst->x = v1.x - v2.x;
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dst->y = v1.y - v2.y;
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}
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void Vector2::smooth(const Vector2& target, float elapsedTime, float responseTime)
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{
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if (elapsedTime > 0)
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{
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*this += (target - *this) * (elapsedTime / (elapsedTime + responseTime));
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}
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}
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2014-04-15 11:58:08 +08:00
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void Vector2::setPoint(float xx, float yy)
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{
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this->x = xx;
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this->y = yy;
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}
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bool Vector2::equals(const Vector2& target) const
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{
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return (fabs(this->x - target.x) < FLT_EPSILON)
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&& (fabs(this->y - target.y) < FLT_EPSILON);
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}
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bool Vector2::fuzzyEquals(const Vector2& b, float var) const
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{
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if(x - var <= b.x && b.x <= x + var)
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if(y - var <= b.y && b.y <= y + var)
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return true;
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return false;
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}
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float Vector2::getAngle(const Vector2& other) const
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{
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Vector2 a2 = normalize();
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Vector2 b2 = other.normalize();
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float angle = atan2f(a2.cross(b2), a2.dot(b2));
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if( fabs(angle) < FLT_EPSILON ) return 0.f;
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return angle;
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}
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Vector2 Vector2::rotateByAngle(const Vector2& pivot, float angle) const
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{
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return pivot + (*this - pivot).rotate(Vector2::forAngle(angle));
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}
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bool Vector2::isLineIntersect(const Vector2& A, const Vector2& B,
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const Vector2& C, const Vector2& D,
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float *S, float *T)
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{
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// FAIL: Line undefined
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if ( (A.x==B.x && A.y==B.y) || (C.x==D.x && C.y==D.y) )
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{
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return false;
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}
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const float denom = crossProduct2Vector(A, B, C, D);
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if (denom == 0)
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{
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// Lines parallel or overlap
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return false;
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}
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if (S != nullptr) *S = crossProduct2Vector(C, D, C, A) / denom;
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if (T != nullptr) *T = crossProduct2Vector(A, B, C, A) / denom;
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return true;
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}
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bool Vector2::isLineParallel(const Vector2& A, const Vector2& B,
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const Vector2& C, const Vector2& D)
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{
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// FAIL: Line undefined
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if ( (A.x==B.x && A.y==B.y) || (C.x==D.x && C.y==D.y) )
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{
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return false;
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}
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if (crossProduct2Vector(A, B, C, D) == 0)
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{
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// line overlap
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if (crossProduct2Vector(C, D, C, A) == 0 || crossProduct2Vector(A, B, C, A) == 0)
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{
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return false;
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}
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return true;
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}
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return false;
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}
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bool Vector2::isLineOverlap(const Vector2& A, const Vector2& B,
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const Vector2& C, const Vector2& D)
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|
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|
{
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|
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|
// FAIL: Line undefined
|
|
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if ( (A.x==B.x && A.y==B.y) || (C.x==D.x && C.y==D.y) )
|
|
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|
{
|
|
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|
return false;
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|
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}
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|
if (crossProduct2Vector(A, B, C, D) == 0 &&
|
|
|
|
(crossProduct2Vector(C, D, C, A) == 0 || crossProduct2Vector(A, B, C, A) == 0))
|
|
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|
{
|
|
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|
return true;
|
|
|
|
}
|
|
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|
return false;
|
|
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}
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|
bool Vector2::isSegmentOverlap(const Vector2& A, const Vector2& B, const Vector2& C, const Vector2& D, Vector2* S, Vector2* E)
|
|
|
|
{
|
|
|
|
|
|
|
|
if (isLineOverlap(A, B, C, D))
|
|
|
|
{
|
|
|
|
return isOneDimensionSegmentOverlap(A.x, B.x, C.x, D.x, &S->x, &E->x) &&
|
|
|
|
isOneDimensionSegmentOverlap(A.y, B.y, C.y, D.y, &S->y, &E->y);
|
|
|
|
}
|
|
|
|
|
|
|
|
return false;
|
|
|
|
}
|
|
|
|
|
|
|
|
bool Vector2::isSegmentIntersect(const Vector2& A, const Vector2& B, const Vector2& C, const Vector2& D)
|
|
|
|
{
|
|
|
|
float S, T;
|
|
|
|
|
|
|
|
if (isLineIntersect(A, B, C, D, &S, &T )&&
|
|
|
|
(S >= 0.0f && S <= 1.0f && T >= 0.0f && T <= 1.0f))
|
|
|
|
{
|
|
|
|
return true;
|
|
|
|
}
|
|
|
|
|
|
|
|
return false;
|
|
|
|
}
|
|
|
|
|
|
|
|
Vector2 Vector2::getIntersectPoint(const Vector2& A, const Vector2& B, const Vector2& C, const Vector2& D)
|
|
|
|
{
|
|
|
|
float S, T;
|
|
|
|
|
|
|
|
if (isLineIntersect(A, B, C, D, &S, &T))
|
|
|
|
{
|
2014-04-15 18:13:57 +08:00
|
|
|
// Vector2 of intersection
|
2014-04-15 11:58:08 +08:00
|
|
|
Vector2 P;
|
|
|
|
P.x = A.x + S * (B.x - A.x);
|
|
|
|
P.y = A.y + S * (B.y - A.y);
|
|
|
|
return P;
|
|
|
|
}
|
|
|
|
|
|
|
|
return Vector2::ZERO;
|
|
|
|
}
|
|
|
|
|
|
|
|
const Vector2 Vector2::ZERO = Vector2(0.0f, 0.0f);
|
|
|
|
const Vector2 Vector2::ANCHOR_MIDDLE = Vector2(0.5f, 0.5f);
|
|
|
|
const Vector2 Vector2::ANCHOR_BOTTOM_LEFT = Vector2(0.0f, 0.0f);
|
|
|
|
const Vector2 Vector2::ANCHOR_TOP_LEFT = Vector2(0.0f, 1.0f);
|
|
|
|
const Vector2 Vector2::ANCHOR_BOTTOM_RIGHT = Vector2(1.0f, 0.0f);
|
|
|
|
const Vector2 Vector2::ANCHOR_TOP_RIGHT = Vector2(1.0f, 1.0f);
|
|
|
|
const Vector2 Vector2::ANCHOR_MIDDLE_RIGHT = Vector2(1.0f, 0.5f);
|
|
|
|
const Vector2 Vector2::ANCHOR_MIDDLE_LEFT = Vector2(0.0f, 0.5f);
|
|
|
|
const Vector2 Vector2::ANCHOR_MIDDLE_TOP = Vector2(0.5f, 1.0f);
|
|
|
|
const Vector2 Vector2::ANCHOR_MIDDLE_BOTTOM = Vector2(0.5f, 0.0f);
|
|
|
|
|
|
|
|
NS_CC_MATH_END
|