skia2/include/core/SkPoint.h

/*
 * Copyright (C) 2006 The Android Open Source Project
 *
 * Licensed under the Apache License, Version 2.0 (the "License");
 * you may not use this file except in compliance with the License.
 * You may obtain a copy of the License at
 *
 *      http://www.apache.org/licenses/LICENSE-2.0
 *
 * Unless required by applicable law or agreed to in writing, software
 * distributed under the License is distributed on an "AS IS" BASIS,
 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 * See the License for the specific language governing permissions and
 * limitations under the License.
 */

#ifndef SkPoint_DEFINED
#define SkPoint_DEFINED

#include "SkMath.h"
#include "SkScalar.h"

/** \struct SkIPoint

    SkIPoint holds two 32 bit integer coordinates
*/
struct SkIPoint {
    int32_t fX, fY;

    static SkIPoint Make(int32_t x, int32_t y) {
        SkIPoint pt;
        pt.set(x, y);
        return pt;
    }

    int32_t x() const { return fX; }
    int32_t y() const { return fY; }
    void setX(int32_t x) { fX = x; }
    void setY(int32_t y) { fY = y; }

    /**
     *  Returns true iff fX and fY are both zero.
     */
    bool isZero() const { return (fX | fY) == 0; }

    /**
     *  Set both fX and fY to zero. Same as set(0, 0)
     */
    void setZero() { fX = fY = 0; }

    /** Set the x and y values of the point. */
    void set(int32_t x, int32_t y) { fX = x; fY = y; }

    /** Rotate the point clockwise, writing the new point into dst
        It is legal for dst == this
    */
    void rotateCW(SkIPoint* dst) const;

    /** Rotate the point clockwise, writing the new point back into the point
    */

    void rotateCW() { this->rotateCW(this); }

    /** Rotate the point counter-clockwise, writing the new point into dst.
        It is legal for dst == this
    */
    void rotateCCW(SkIPoint* dst) const;

    /** Rotate the point counter-clockwise, writing the new point back into
        the point
    */
    void rotateCCW() { this->rotateCCW(this); }

    /** Negate the X and Y coordinates of the point.
    */
    void negate() { fX = -fX; fY = -fY; }

    /** Return a new point whose X and Y coordinates are the negative of the
        original point's
    */
    SkIPoint operator-() const {
        SkIPoint neg;
        neg.fX = -fX;
        neg.fY = -fY;
        return neg;
    }

    /** Add v's coordinates to this point's */
    void operator+=(const SkIPoint& v) {
        fX += v.fX;
        fY += v.fY;
    }

    /** Subtract v's coordinates from this point's */
    void operator-=(const SkIPoint& v) {
        fX -= v.fX;
        fY -= v.fY;
    }

    /** Returns true if the point's coordinates equal (x,y) */
    bool equals(int32_t x, int32_t y) const {
        return fX == x && fY == y;
    }

    friend bool operator==(const SkIPoint& a, const SkIPoint& b) {
        return a.fX == b.fX && a.fY == b.fY;
    }

    friend bool operator!=(const SkIPoint& a, const SkIPoint& b) {
        return a.fX != b.fX || a.fY != b.fY;
    }

    /** Returns a new point whose coordinates are the difference between
        a and b (i.e. a - b)
    */
    friend SkIPoint operator-(const SkIPoint& a, const SkIPoint& b) {
        SkIPoint v;
        v.set(a.fX - b.fX, a.fY - b.fY);
        return v;
    }

    /** Returns a new point whose coordinates are the sum of a and b (a + b)
    */
    friend SkIPoint operator+(const SkIPoint& a, const SkIPoint& b) {
        SkIPoint v;
        v.set(a.fX + b.fX, a.fY + b.fY);
        return v;
    }

    /** Returns the dot product of a and b, treating them as 2D vectors
    */
    static int32_t DotProduct(const SkIPoint& a, const SkIPoint& b) {
        return a.fX * b.fX + a.fY * b.fY;
    }

    /** Returns the cross product of a and b, treating them as 2D vectors
    */
    static int32_t CrossProduct(const SkIPoint& a, const SkIPoint& b) {
        return a.fX * b.fY - a.fY * b.fX;
    }
};

struct SK_API SkPoint {
    SkScalar    fX, fY;

    static SkPoint Make(SkScalar x, SkScalar y) {
        SkPoint pt;
        pt.set(x, y);
        return pt;
    }

    SkScalar x() const { return fX; }
    SkScalar y() const { return fY; }

    /** Set the point's X and Y coordinates */
    void set(SkScalar x, SkScalar y) { fX = x; fY = y; }

    /** Set the point's X and Y coordinates by automatically promoting (x,y) to
        SkScalar values.
    */
    void iset(int32_t x, int32_t y) {
        fX = SkIntToScalar(x);
        fY = SkIntToScalar(y);
    }

    /** Set the point's X and Y coordinates by automatically promoting p's
        coordinates to SkScalar values.
    */
    void iset(const SkIPoint& p) {
        fX = SkIntToScalar(p.fX);
        fY = SkIntToScalar(p.fY);
    }

    void setAbs(const SkPoint& pt) {
        fX = SkScalarAbs(pt.fX);
        fY = SkScalarAbs(pt.fY);
    }
    
    // counter-clockwise fan
    void setIRectFan(int l, int t, int r, int b) {
        SkPoint* v = this;
        v[0].set(SkIntToScalar(l), SkIntToScalar(t));
        v[1].set(SkIntToScalar(l), SkIntToScalar(b));
        v[2].set(SkIntToScalar(r), SkIntToScalar(b));
        v[3].set(SkIntToScalar(r), SkIntToScalar(t));
    }
    void setIRectFan(int l, int t, int r, int b, size_t stride);

    // counter-clockwise fan
    void setRectFan(SkScalar l, SkScalar t, SkScalar r, SkScalar b) {
        SkPoint* v = this;
        v[0].set(l, t);
        v[1].set(l, b);
        v[2].set(r, b);
        v[3].set(r, t);
    }
    void setRectFan(SkScalar l, SkScalar t, SkScalar r, SkScalar b, size_t stride);

    void offset(SkScalar dx, SkScalar dy) {
        fX += dx;
        fY += dy;
    }

    /** Return the euclidian distance from (0,0) to the point
    */
    SkScalar length() const { return SkPoint::Length(fX, fY); }
    SkScalar distanceToOrigin() const { return this->length(); }

    /** Set the point (vector) to be unit-length in the same direction as it
        already points.  If the point has a degenerate length (i.e. nearly 0)
        then return false and do nothing; otherwise return true.
    */
    bool normalize();

    /** Set the point (vector) to be unit-length in the same direction as the
        x,y params. If the vector (x,y) has a degenerate length (i.e. nearly 0)
        then return false and do nothing, otherwise return true.
    */
    bool setNormalize(SkScalar x, SkScalar y);

    /** Scale the point (vector) to have the specified length, and return that
        length. If the original length is degenerately small (nearly zero),
        do nothing and return false, otherwise return true.
    */
    bool setLength(SkScalar length);

    /** Set the point (vector) to have the specified length in the same
     direction as (x,y). If the vector (x,y) has a degenerate length
     (i.e. nearly 0) then return false and do nothing, otherwise return true.
    */
    bool setLength(SkScalar x, SkScalar y, SkScalar length);

    /** Scale the point's coordinates by scale, writing the answer into dst.
        It is legal for dst == this.
    */
    void scale(SkScalar scale, SkPoint* dst) const;

    /** Scale the point's coordinates by scale, writing the answer back into
        the point.
    */
    void scale(SkScalar value) { this->scale(value, this); }

    /** Rotate the point clockwise by 90 degrees, writing the answer into dst.
        It is legal for dst == this.
    */
    void rotateCW(SkPoint* dst) const;

    /** Rotate the point clockwise by 90 degrees, writing the answer back into
        the point.
    */
    void rotateCW() { this->rotateCW(this); }

    /** Rotate the point counter-clockwise by 90 degrees, writing the answer
        into dst. It is legal for dst == this.
    */
    void rotateCCW(SkPoint* dst) const;

    /** Rotate the point counter-clockwise by 90 degrees, writing the answer
        back into the point.
    */
    void rotateCCW() { this->rotateCCW(this); }

    /** Negate the point's coordinates
    */
    void negate() {
        fX = -fX;
        fY = -fY;
    }

    /** Returns a new point whose coordinates are the negative of the point's
    */
    SkPoint operator-() const {
        SkPoint neg;
        neg.fX = -fX;
        neg.fY = -fY;
        return neg;
    }

    /** Add v's coordinates to the point's
    */
    void operator+=(const SkPoint& v) {
        fX += v.fX;
        fY += v.fY;
    }

    /** Subtract v's coordinates from the point's
    */
    void operator-=(const SkPoint& v) {
        fX -= v.fX;
        fY -= v.fY;
    }

    /** Returns true if the point's coordinates equal (x,y)
    */
    bool equals(SkScalar x, SkScalar y) const { return fX == x && fY == y; }

    friend bool operator==(const SkPoint& a, const SkPoint& b) {
        return a.fX == b.fX && a.fY == b.fY;
    }

    friend bool operator!=(const SkPoint& a, const SkPoint& b) {
        return a.fX != b.fX || a.fY != b.fY;
    }

    /** Returns a new point whose coordinates are the difference between
        a's and b's (a - b)
    */
    friend SkPoint operator-(const SkPoint& a, const SkPoint& b) {
        SkPoint v;
        v.set(a.fX - b.fX, a.fY - b.fY);
        return v;
    }

    /** Returns a new point whose coordinates are the sum of a's and b's (a + b)
    */
    friend SkPoint operator+(const SkPoint& a, const SkPoint& b) {
        SkPoint v;
        v.set(a.fX + b.fX, a.fY + b.fY);
        return v;
    }

    /** Returns the euclidian distance from (0,0) to (x,y)
    */
    static SkScalar Length(SkScalar x, SkScalar y);

    /** Normalize pt, returning its previous length. If the prev length is too
        small (degenerate), return 0 and leave pt unchanged.

        Note that this method may be significantly more expensive than
        the non-static normalize(), because it has to return the previous length
        of the point.  If you don't need the previous length, call the
        non-static normalize() method instead.
     */
    static SkScalar Normalize(SkPoint* pt);

    /** Returns the euclidian distance between a and b
    */
    static SkScalar Distance(const SkPoint& a, const SkPoint& b) {
        return Length(a.fX - b.fX, a.fY - b.fY);
    }

    /** Returns the dot product of a and b, treating them as 2D vectors
    */
    static SkScalar DotProduct(const SkPoint& a, const SkPoint& b) {
        return SkScalarMul(a.fX, b.fX) + SkScalarMul(a.fY, b.fY);
    }

    /** Returns the cross product of a and b, treating them as 2D vectors
    */
    static SkScalar CrossProduct(const SkPoint& a, const SkPoint& b) {
        return SkScalarMul(a.fX, b.fY) - SkScalarMul(a.fY, b.fX);
    }

    SkScalar cross(const SkPoint& vec) const {
        return CrossProduct(*this, vec);
    }

    SkScalar dot(const SkPoint& vec) const {
        return DotProduct(*this, vec);
    }
    
    SkScalar lengthSqd() const {
        return DotProduct(*this, *this);
    }
    
    SkScalar distanceToSqd(const SkPoint& pt) const {
        SkScalar dx = fX - pt.fX;
        SkScalar dy = fY - pt.fY;
        return SkScalarMul(dx, dx) + SkScalarMul(dy, dy);
    }
    
    SkScalar distanceToLineSegmentBetweenSqd(const SkPoint& a, 
                                             const SkPoint& b) const;
    
    SkScalar distanceToLineSegmentBetween(const SkPoint& a, 
                                          const SkPoint& b) const {
        return SkScalarSqrt(this->distanceToLineSegmentBetweenSqd(a, b));
    }
};

typedef SkPoint SkVector;

#endif