mirror of https://github.com/axmolengine/axmol.git
765 lines
20 KiB
C++
765 lines
20 KiB
C++
#ifndef VECTOR2_H_
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#define VECTOR2_H_
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#include "CCMathBase.h"
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#include "CCPlatformMacros.h"
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#include "ccMacros.h"
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NS_CC_MATH_BEGIN
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/** Clamp a value between from and to.
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*/
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inline float clampf(float value, float min_inclusive, float max_inclusive)
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{
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if (min_inclusive > max_inclusive) {
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CC_SWAP(min_inclusive, max_inclusive, float);
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}
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return value < min_inclusive ? min_inclusive : value < max_inclusive? value : max_inclusive;
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}
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class Matrix;
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/**
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* Defines a 2-element floating point vector.
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*/
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class Vector2
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{
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public:
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/**
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* The x coordinate.
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*/
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float x;
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/**
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* The y coordinate.
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*/
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float y;
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/**
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* Constructs a new vector initialized to all zeros.
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*/
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Vector2();
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/**
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* Constructs a new vector initialized to the specified values.
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*
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* @param xx The x coordinate.
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* @param yy The y coordinate.
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*/
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Vector2(float xx, float yy);
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/**
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* Constructs a new vector from the values in the specified array.
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*
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* @param array An array containing the elements of the vector in the order x, y.
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*/
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Vector2(const float* array);
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/**
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* Constructs a vector that describes the direction between the specified points.
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*
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* @param p1 The first point.
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* @param p2 The second point.
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*/
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Vector2(const Vector2& p1, const Vector2& p2);
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/**
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* Constructs a new vector that is a copy of the specified vector.
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*
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* @param copy The vector to copy.
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*/
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Vector2(const Vector2& copy);
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/**
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* Destructor.
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*/
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~Vector2();
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/**
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* Returns the zero vector.
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*
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* @return The 2-element vector of 0s.
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*/
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static const Vector2& zero();
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/**
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* Returns the one vector.
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*
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* @return The 2-element vector of 1s.
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*/
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static const Vector2& one();
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/**
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* Returns the unit x vector.
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*
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* @return The 2-element unit vector along the x axis.
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*/
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static const Vector2& unitX();
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/**
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* Returns the unit y vector.
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*
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* @return The 2-element unit vector along the y axis.
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*/
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static const Vector2& unitY();
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/**
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* Indicates whether this vector contains all zeros.
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*
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* @return true if this vector contains all zeros, false otherwise.
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*/
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bool isZero() const;
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/**
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* Indicates whether this vector contains all ones.
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*
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* @return true if this vector contains all ones, false otherwise.
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*/
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bool isOne() const;
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/**
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* Returns the angle (in radians) between the specified vectors.
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*
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* @param v1 The first vector.
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* @param v2 The second vector.
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*
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* @return The angle between the two vectors (in radians).
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*/
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static float angle(const Vector2& v1, const Vector2& v2);
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/**
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* Adds the elements of the specified vector to this one.
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*
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* @param v The vector to add.
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*/
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void add(const Vector2& v);
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/**
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* Adds the specified vectors and stores the result in dst.
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*
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* @param v1 The first vector.
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* @param v2 The second vector.
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* @param dst A vector to store the result in.
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*/
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static void add(const Vector2& v1, const Vector2& v2, Vector2* dst);
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/**
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* Clamps this vector within the specified range.
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*
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* @param min The minimum value.
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* @param max The maximum value.
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*/
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void clamp(const Vector2& min, const Vector2& max);
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/**
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* Clamps the specified vector within the specified range and returns it in dst.
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*
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* @param v The vector to clamp.
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* @param min The minimum value.
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* @param max The maximum value.
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* @param dst A vector to store the result in.
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*/
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static void clamp(const Vector2& v, const Vector2& min, const Vector2& max, Vector2* dst);
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/**
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* Returns the distance between this vector and v.
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*
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* @param v The other vector.
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*
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* @return The distance between this vector and v.
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*
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* @see distanceSquared
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*/
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float distance(const Vector2& v) const;
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/**
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* Returns the squared distance between this vector and v.
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*
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* When it is not necessary to get the exact distance between
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* two vectors (for example, when simply comparing the
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* distance between different vectors), it is advised to use
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* this method instead of distance.
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*
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* @param v The other vector.
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*
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* @return The squared distance between this vector and v.
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*
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* @see distance
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*/
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float distanceSquared(const Vector2& v) const;
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/**
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* Returns the dot product of this vector and the specified vector.
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*
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* @param v The vector to compute the dot product with.
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*
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* @return The dot product.
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*/
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float dot(const Vector2& v) const;
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/**
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* Returns the dot product between the specified vectors.
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*
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* @param v1 The first vector.
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* @param v2 The second vector.
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*
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* @return The dot product between the vectors.
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*/
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static float dot(const Vector2& v1, const Vector2& v2);
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/**
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* Computes the length of this vector.
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*
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* @return The length of the vector.
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*
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* @see lengthSquared
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*/
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float length() const;
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/**
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* Returns the squared length of this vector.
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*
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* When it is not necessary to get the exact length of a
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* vector (for example, when simply comparing the lengths of
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* different vectors), it is advised to use this method
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* instead of length.
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*
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* @return The squared length of the vector.
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*
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* @see length
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*/
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float lengthSquared() const;
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/**
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* Negates this vector.
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*/
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void negate();
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/**
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* Normalizes this vector.
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*
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* This method normalizes this Vector2 so that it is of
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* unit length (in other words, the length of the vector
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* after calling this method will be 1.0f). If the vector
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* already has unit length or if the length of the vector
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* is zero, this method does nothing.
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*
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* @return This vector, after the normalization occurs.
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*/
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Vector2& normalize();
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/**
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* Normalizes this vector and stores the result in dst.
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*
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* If the vector already has unit length or if the length
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* of the vector is zero, this method simply copies the
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* current vector into dst.
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*
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* @param dst The destination vector.
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*/
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void normalize(Vector2* dst) const;
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/**
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* Scales all elements of this vector by the specified value.
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*
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* @param scalar The scalar value.
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*/
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void scale(float scalar);
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/**
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* Scales each element of this vector by the matching component of scale.
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*
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* @param scale The vector to scale by.
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*/
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void scale(const Vector2& scale);
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/**
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* Rotates this vector by angle (specified in radians) around the given point.
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*
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* @param point The point to rotate around.
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* @param angle The angle to rotate by (in radians).
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*/
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void rotate(const Vector2& point, float angle);
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/**
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* Sets the elements of this vector to the specified values.
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*
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* @param xx The new x coordinate.
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* @param yy The new y coordinate.
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*/
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void set(float xx, float yy);
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/**
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* Sets the elements of this vector from the values in the specified array.
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*
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* @param array An array containing the elements of the vector in the order x, y.
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*/
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void set(const float* array);
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/**
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* Sets the elements of this vector to those in the specified vector.
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*
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* @param v The vector to copy.
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*/
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void set(const Vector2& v);
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/**
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* Sets this vector to the directional vector between the specified points.
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*
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* @param p1 The first point.
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* @param p2 The second point.
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*/
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void set(const Vector2& p1, const Vector2& p2);
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/**
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* Subtracts this vector and the specified vector as (this - v)
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* and stores the result in this vector.
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*
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* @param v The vector to subtract.
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*/
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void subtract(const Vector2& v);
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/**
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* Subtracts the specified vectors and stores the result in dst.
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* The resulting vector is computed as (v1 - v2).
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*
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* @param v1 The first vector.
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* @param v2 The second vector.
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* @param dst The destination vector.
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*/
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static void subtract(const Vector2& v1, const Vector2& v2, Vector2* dst);
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/**
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* Updates this vector towards the given target using a smoothing function.
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* The given response time determines the amount of smoothing (lag). A longer
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* response time yields a smoother result and more lag. To force this vector to
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* follow the target closely, provide a response time that is very small relative
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* to the given elapsed time.
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*
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* @param target target value.
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* @param elapsedTime elapsed time between calls.
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* @param responseTime response time (in the same units as elapsedTime).
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*/
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void smooth(const Vector2& target, float elapsedTime, float responseTime);
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/**
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* Calculates the sum of this vector with the given vector.
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*
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* Note: this does not modify this vector.
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*
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* @param v The vector to add.
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* @return The vector sum.
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*/
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inline const Vector2 operator+(const Vector2& v) const;
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/**
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* Adds the given vector to this vector.
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*
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* @param v The vector to add.
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* @return This vector, after the addition occurs.
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*/
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inline Vector2& operator+=(const Vector2& v);
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/**
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* Calculates the sum of this vector with the given vector.
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*
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* Note: this does not modify this vector.
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*
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* @param v The vector to add.
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* @return The vector sum.
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*/
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inline const Vector2 operator-(const Vector2& v) const;
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/**
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* Subtracts the given vector from this vector.
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*
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* @param v The vector to subtract.
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* @return This vector, after the subtraction occurs.
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*/
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inline Vector2& operator-=(const Vector2& v);
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/**
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* Calculates the negation of this vector.
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*
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* Note: this does not modify this vector.
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*
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* @return The negation of this vector.
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*/
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inline const Vector2 operator-() const;
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/**
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* Calculates the scalar product of this vector with the given value.
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*
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* Note: this does not modify this vector.
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*
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* @param s The value to scale by.
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* @return The scaled vector.
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*/
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inline const Vector2 operator*(float s) const;
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/**
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* Scales this vector by the given value.
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*
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* @param s The value to scale by.
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* @return This vector, after the scale occurs.
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*/
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inline Vector2& operator*=(float s);
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/**
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* Returns the components of this vector divided by the given constant
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*
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* Note: this does not modify this vector.
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*
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* @param s the constant to divide this vector with
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* @return a smaller vector
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*/
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inline const Vector2 operator/(float s) const;
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/**
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* Determines if this vector is less than the given vector.
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*
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* @param v The vector to compare against.
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*
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* @return True if this vector is less than the given vector, false otherwise.
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*/
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inline bool operator<(const Vector2& v) const;
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/**
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* Determines if this vector is equal to the given vector.
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*
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* @param v The vector to compare against.
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*
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* @return True if this vector is equal to the given vector, false otherwise.
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*/
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inline bool operator==(const Vector2& v) const;
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/**
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* Determines if this vector is not equal to the given vector.
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*
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* @param v The vector to compare against.
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*
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* @return True if this vector is not equal to the given vector, false otherwise.
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*/
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inline bool operator!=(const Vector2& v) const;
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//code added compatible for Point
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public:
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/**
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* @js NA
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* @lua NA
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*/
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void setPoint(float xx, float yy);
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/**
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* @js NA
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*/
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bool equals(const Vector2& target) const;
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/** @returns if points have fuzzy equality which means equal with some degree of variance.
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@since v2.1.4
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* @js NA
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* @lua NA
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*/
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bool fuzzyEquals(const Vector2& target, float variance) const;
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/** Calculates distance between point an origin
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@return float
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@since v2.1.4
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* @js NA
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* @lua NA
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*/
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inline float getLength() const {
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return sqrtf(x*x + y*y);
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};
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/** Calculates the square length of a Vector2 (not calling sqrt() )
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@return float
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@since v2.1.4
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* @js NA
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* @lua NA
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*/
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inline float getLengthSq() const {
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return dot(*this); //x*x + y*y;
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};
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/** Calculates the square distance between two points (not calling sqrt() )
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@return float
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@since v2.1.4
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* @js NA
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* @lua NA
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*/
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inline float getDistanceSq(const Vector2& other) const {
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return (*this - other).getLengthSq();
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};
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/** Calculates the distance between two points
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@return float
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@since v2.1.4
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* @js NA
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* @lua NA
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*/
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inline float getDistance(const Vector2& other) const {
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return (*this - other).getLength();
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};
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/** @returns the angle in radians between this vector and the x axis
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@since v2.1.4
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* @js NA
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* @lua NA
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*/
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inline float getAngle() const {
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return atan2f(y, x);
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};
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/** @returns the angle in radians between two vector directions
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@since v2.1.4
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* @js NA
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* @lua NA
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*/
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float getAngle(const Vector2& other) const;
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/** Calculates cross product of two points.
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@return float
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@since v2.1.4
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* @js NA
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* @lua NA
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*/
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inline float cross(const Vector2& other) const {
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return x*other.y - y*other.x;
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};
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/** Calculates perpendicular of v, rotated 90 degrees counter-clockwise -- cross(v, perp(v)) >= 0
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@return Vector2
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@since v2.1.4
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* @js NA
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* @lua NA
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*/
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inline Vector2 getPerp() const {
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return Vector2(-y, x);
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};
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/** Calculates midpoint between two points.
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@return Vector2
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@since v3.0
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* @js NA
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* @lua NA
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*/
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inline Vector2 getMidpoint(const Vector2& other) const
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{
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return Vector2((x + other.x) / 2.0f, (y + other.y) / 2.0f);
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}
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/** Clamp a point between from and to.
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@since v3.0
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* @js NA
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* @lua NA
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*/
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inline Vector2 getClampPoint(const Vector2& min_inclusive, const Vector2& max_inclusive) const
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{
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return Vector2(clampf(x,min_inclusive.x,max_inclusive.x), clampf(y, min_inclusive.y, max_inclusive.y));
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}
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/** Run a math operation function on each point component
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* absf, fllorf, ceilf, roundf
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* any function that has the signature: float func(float);
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* For example: let's try to take the floor of x,y
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* p.compOp(floorf);
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@since v3.0
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* @js NA
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* @lua NA
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*/
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inline Vector2 compOp(std::function<float(float)> function) const
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{
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return Vector2(function(x), function(y));
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}
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/** Calculates perpendicular of v, rotated 90 degrees clockwise -- cross(v, rperp(v)) <= 0
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@return Vector2
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@since v2.1.4
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* @js NA
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* @lua NA
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*/
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inline Vector2 getRPerp() const {
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return Vector2(y, -x);
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};
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/** Calculates the projection of this over other.
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@return Vector2
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@since v2.1.4
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* @js NA
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* @lua NA
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*/
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inline Vector2 project(const Vector2& other) const {
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return other * (dot(other)/other.dot(other));
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};
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/** Complex multiplication of two points ("rotates" two points).
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@return Vector2 vector with an angle of this.getAngle() + other.getAngle(),
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and a length of this.getLength() * other.getLength().
|
|
@since v2.1.4
|
|
* @js NA
|
|
* @lua NA
|
|
*/
|
|
inline Vector2 rotate(const Vector2& other) const {
|
|
return Vector2(x*other.x - y*other.y, x*other.y + y*other.x);
|
|
};
|
|
|
|
/** Unrotates two points.
|
|
@return Vector2 vector with an angle of this.getAngle() - other.getAngle(),
|
|
and a length of this.getLength() * other.getLength().
|
|
@since v2.1.4
|
|
* @js NA
|
|
* @lua NA
|
|
*/
|
|
inline Vector2 unrotate(const Vector2& other) const {
|
|
return Vector2(x*other.x + y*other.y, y*other.x - x*other.y);
|
|
};
|
|
|
|
/** Returns point multiplied to a length of 1.
|
|
* If the point is 0, it returns (1, 0)
|
|
@return Vector2
|
|
@since v2.1.4
|
|
* @js NA
|
|
* @lua NA
|
|
*/
|
|
inline Vector2 normalize() const {
|
|
float length = getLength();
|
|
if(length == 0.) return Vector2(1.f, 0);
|
|
return *this / getLength();
|
|
};
|
|
|
|
/** Linear Interpolation between two points a and b
|
|
@returns
|
|
alpha == 0 ? a
|
|
alpha == 1 ? b
|
|
otherwise a value between a..b
|
|
@since v2.1.4
|
|
* @js NA
|
|
* @lua NA
|
|
*/
|
|
inline Vector2 lerp(const Vector2& other, float alpha) const {
|
|
return *this * (1.f - alpha) + other * alpha;
|
|
};
|
|
|
|
/** Rotates a point counter clockwise by the angle around a pivot
|
|
@param pivot is the pivot, naturally
|
|
@param angle is the angle of rotation ccw in radians
|
|
@returns the rotated point
|
|
@since v2.1.4
|
|
* @js NA
|
|
* @lua NA
|
|
*/
|
|
Vector2 rotateByAngle(const Vector2& pivot, float angle) const;
|
|
|
|
/**
|
|
* @js NA
|
|
* @lua NA
|
|
*/
|
|
static inline Vector2 forAngle(const float a)
|
|
{
|
|
return Vector2(cosf(a), sinf(a));
|
|
}
|
|
|
|
/** A general line-line intersection test
|
|
@param A the startpoint for the first line L1 = (A - B)
|
|
@param B the endpoint for the first line L1 = (A - B)
|
|
@param C the startpoint for the second line L2 = (C - D)
|
|
@param D the endpoint for the second line L2 = (C - D)
|
|
@param S the range for a hitpoint in L1 (p = A + S*(B - A))
|
|
@param T the range for a hitpoint in L2 (p = C + T*(D - C))
|
|
@returns whether these two lines interects.
|
|
|
|
Note that to truly test intersection for segments we have to make
|
|
sure that S & T lie within [0..1] and for rays, make sure S & T > 0
|
|
the hit point is C + T * (D - C);
|
|
the hit point also is A + S * (B - A);
|
|
@since 3.0
|
|
* @js NA
|
|
* @lua NA
|
|
*/
|
|
static bool isLineIntersect(const Vector2& A, const Vector2& B,
|
|
const Vector2& C, const Vector2& D,
|
|
float *S = nullptr, float *T = nullptr);
|
|
|
|
/**
|
|
returns true if Line A-B overlap with segment C-D
|
|
@since v3.0
|
|
* @js NA
|
|
* @lua NA
|
|
*/
|
|
static bool isLineOverlap(const Vector2& A, const Vector2& B,
|
|
const Vector2& C, const Vector2& D);
|
|
|
|
/**
|
|
returns true if Line A-B parallel with segment C-D
|
|
@since v3.0
|
|
* @js NA
|
|
* @lua NA
|
|
*/
|
|
static bool isLineParallel(const Vector2& A, const Vector2& B,
|
|
const Vector2& C, const Vector2& D);
|
|
|
|
/**
|
|
returns true if Segment A-B overlap with segment C-D
|
|
@since v3.0
|
|
* @js NA
|
|
* @lua NA
|
|
*/
|
|
static bool isSegmentOverlap(const Vector2& A, const Vector2& B,
|
|
const Vector2& C, const Vector2& D,
|
|
Vector2* S = nullptr, Vector2* E = nullptr);
|
|
|
|
/**
|
|
returns true if Segment A-B intersects with segment C-D
|
|
@since v3.0
|
|
* @js NA
|
|
* @lua NA
|
|
*/
|
|
static bool isSegmentIntersect(const Vector2& A, const Vector2& B, const Vector2& C, const Vector2& D);
|
|
|
|
/**
|
|
returns the intersection point of line A-B, C-D
|
|
@since v3.0
|
|
* @js NA
|
|
* @lua NA
|
|
*/
|
|
static Vector2 getIntersectPoint(const Vector2& A, const Vector2& B, const Vector2& C, const Vector2& D);
|
|
|
|
/** equals to Vector2(0,0) */
|
|
static const Vector2 ZERO;
|
|
/** equals to Vector2(0.5, 0.5) */
|
|
static const Vector2 ANCHOR_MIDDLE;
|
|
/** equals to Vector2(0, 0) */
|
|
static const Vector2 ANCHOR_BOTTOM_LEFT;
|
|
/** equals to Vector2(0, 1) */
|
|
static const Vector2 ANCHOR_TOP_LEFT;
|
|
/** equals to Vector2(1, 0) */
|
|
static const Vector2 ANCHOR_BOTTOM_RIGHT;
|
|
/** equals to Vector2(1, 1) */
|
|
static const Vector2 ANCHOR_TOP_RIGHT;
|
|
/** equals to Vector2(1, 0.5) */
|
|
static const Vector2 ANCHOR_MIDDLE_RIGHT;
|
|
/** equals to Vector2(0, 0.5) */
|
|
static const Vector2 ANCHOR_MIDDLE_LEFT;
|
|
/** equals to Vector2(0.5, 1) */
|
|
static const Vector2 ANCHOR_MIDDLE_TOP;
|
|
/** equals to Vector2(0.5, 0) */
|
|
static const Vector2 ANCHOR_MIDDLE_BOTTOM;
|
|
};
|
|
|
|
/**
|
|
* Calculates the scalar product of the given vector with the given value.
|
|
*
|
|
* @param x The value to scale by.
|
|
* @param v The vector to scale.
|
|
* @return The scaled vector.
|
|
*/
|
|
inline const Vector2 operator*(float x, const Vector2& v);
|
|
|
|
NS_CC_MATH_END
|
|
|
|
#include "Vector2.inl"
|
|
|
|
#endif
|