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1 /*
2  * Copyright 2006 The Android Open Source Project
3  *
4  * Use of this source code is governed by a BSD-style license that can be
5  * found in the LICENSE file.
6  */
7 
8 #ifndef SkPoint_DEFINED
9 #define SkPoint_DEFINED
10 
11 #include "SkMath.h"
12 #include "SkScalar.h"
13 
14 /** \struct SkIPoint16
15 
16     SkIPoint holds two 16 bit integer coordinates
17 */
18 struct SkIPoint16 {
19     int16_t fX, fY;
20 
MakeSkIPoint1621     static SkIPoint16 Make(int x, int y) {
22         SkIPoint16 pt;
23         pt.set(x, y);
24         return pt;
25     }
26 
xSkIPoint1627     int16_t x() const { return fX; }
ySkIPoint1628     int16_t y() const { return fY; }
29 
setSkIPoint1630     void set(int x, int y) {
31         fX = SkToS16(x);
32         fY = SkToS16(y);
33     }
34 };
35 
36 /** \struct SkIPoint
37 
38     SkIPoint holds two 32 bit integer coordinates
39 */
40 struct SkIPoint {
41     int32_t fX, fY;
42 
MakeSkIPoint43     static SkIPoint Make(int32_t x, int32_t y) {
44         SkIPoint pt;
45         pt.set(x, y);
46         return pt;
47     }
48 
xSkIPoint49     int32_t x() const { return fX; }
ySkIPoint50     int32_t y() const { return fY; }
setXSkIPoint51     void setX(int32_t x) { fX = x; }
setYSkIPoint52     void setY(int32_t y) { fY = y; }
53 
54     /**
55      *  Returns true iff fX and fY are both zero.
56      */
isZeroSkIPoint57     bool isZero() const { return (fX | fY) == 0; }
58 
59     /**
60      *  Set both fX and fY to zero. Same as set(0, 0)
61      */
setZeroSkIPoint62     void setZero() { fX = fY = 0; }
63 
64     /** Set the x and y values of the point. */
setSkIPoint65     void set(int32_t x, int32_t y) { fX = x; fY = y; }
66 
67     /** Rotate the point clockwise, writing the new point into dst
68         It is legal for dst == this
69     */
70     void rotateCW(SkIPoint* dst) const;
71 
72     /** Rotate the point clockwise, writing the new point back into the point
73     */
74 
rotateCWSkIPoint75     void rotateCW() { this->rotateCW(this); }
76 
77     /** Rotate the point counter-clockwise, writing the new point into dst.
78         It is legal for dst == this
79     */
80     void rotateCCW(SkIPoint* dst) const;
81 
82     /** Rotate the point counter-clockwise, writing the new point back into
83         the point
84     */
rotateCCWSkIPoint85     void rotateCCW() { this->rotateCCW(this); }
86 
87     /** Negate the X and Y coordinates of the point.
88     */
negateSkIPoint89     void negate() { fX = -fX; fY = -fY; }
90 
91     /** Return a new point whose X and Y coordinates are the negative of the
92         original point's
93     */
94     SkIPoint operator-() const {
95         SkIPoint neg;
96         neg.fX = -fX;
97         neg.fY = -fY;
98         return neg;
99     }
100 
101     /** Add v's coordinates to this point's */
102     void operator+=(const SkIPoint& v) {
103         fX += v.fX;
104         fY += v.fY;
105     }
106 
107     /** Subtract v's coordinates from this point's */
108     void operator-=(const SkIPoint& v) {
109         fX -= v.fX;
110         fY -= v.fY;
111     }
112 
113     /** Returns true if the point's coordinates equal (x,y) */
equalsSkIPoint114     bool equals(int32_t x, int32_t y) const {
115         return fX == x && fY == y;
116     }
117 
118     friend bool operator==(const SkIPoint& a, const SkIPoint& b) {
119         return a.fX == b.fX && a.fY == b.fY;
120     }
121 
122     friend bool operator!=(const SkIPoint& a, const SkIPoint& b) {
123         return a.fX != b.fX || a.fY != b.fY;
124     }
125 
126     /** Returns a new point whose coordinates are the difference between
127         a and b (i.e. a - b)
128     */
129     friend SkIPoint operator-(const SkIPoint& a, const SkIPoint& b) {
130         SkIPoint v;
131         v.set(a.fX - b.fX, a.fY - b.fY);
132         return v;
133     }
134 
135     /** Returns a new point whose coordinates are the sum of a and b (a + b)
136     */
137     friend SkIPoint operator+(const SkIPoint& a, const SkIPoint& b) {
138         SkIPoint v;
139         v.set(a.fX + b.fX, a.fY + b.fY);
140         return v;
141     }
142 
143     /** Returns the dot product of a and b, treating them as 2D vectors
144     */
DotProductSkIPoint145     static int32_t DotProduct(const SkIPoint& a, const SkIPoint& b) {
146         return a.fX * b.fX + a.fY * b.fY;
147     }
148 
149     /** Returns the cross product of a and b, treating them as 2D vectors
150     */
CrossProductSkIPoint151     static int32_t CrossProduct(const SkIPoint& a, const SkIPoint& b) {
152         return a.fX * b.fY - a.fY * b.fX;
153     }
154 };
155 
156 struct SK_API SkPoint {
157     SkScalar    fX, fY;
158 
MakeSkPoint159     static SkPoint Make(SkScalar x, SkScalar y) {
160         SkPoint pt;
161         pt.set(x, y);
162         return pt;
163     }
164 
xSkPoint165     SkScalar x() const { return fX; }
ySkPoint166     SkScalar y() const { return fY; }
167 
168     /**
169      *  Returns true iff fX and fY are both zero.
170      */
isZeroSkPoint171     bool isZero() const { return (0 == fX) & (0 == fY); }
172 
173     /** Set the point's X and Y coordinates */
setSkPoint174     void set(SkScalar x, SkScalar y) { fX = x; fY = y; }
175 
176     /** Set the point's X and Y coordinates by automatically promoting (x,y) to
177         SkScalar values.
178     */
isetSkPoint179     void iset(int32_t x, int32_t y) {
180         fX = SkIntToScalar(x);
181         fY = SkIntToScalar(y);
182     }
183 
184     /** Set the point's X and Y coordinates by automatically promoting p's
185         coordinates to SkScalar values.
186     */
isetSkPoint187     void iset(const SkIPoint& p) {
188         fX = SkIntToScalar(p.fX);
189         fY = SkIntToScalar(p.fY);
190     }
191 
setAbsSkPoint192     void setAbs(const SkPoint& pt) {
193         fX = SkScalarAbs(pt.fX);
194         fY = SkScalarAbs(pt.fY);
195     }
196 
197     // counter-clockwise fan
setIRectFanSkPoint198     void setIRectFan(int l, int t, int r, int b) {
199         SkPoint* v = this;
200         v[0].set(SkIntToScalar(l), SkIntToScalar(t));
201         v[1].set(SkIntToScalar(l), SkIntToScalar(b));
202         v[2].set(SkIntToScalar(r), SkIntToScalar(b));
203         v[3].set(SkIntToScalar(r), SkIntToScalar(t));
204     }
205     void setIRectFan(int l, int t, int r, int b, size_t stride);
206 
207     // counter-clockwise fan
setRectFanSkPoint208     void setRectFan(SkScalar l, SkScalar t, SkScalar r, SkScalar b) {
209         SkPoint* v = this;
210         v[0].set(l, t);
211         v[1].set(l, b);
212         v[2].set(r, b);
213         v[3].set(r, t);
214     }
215     void setRectFan(SkScalar l, SkScalar t, SkScalar r, SkScalar b, size_t stride);
216 
OffsetSkPoint217     static void Offset(SkPoint points[], int count, const SkPoint& offset) {
218         Offset(points, count, offset.fX, offset.fY);
219     }
220 
OffsetSkPoint221     static void Offset(SkPoint points[], int count, SkScalar dx, SkScalar dy) {
222         for (int i = 0; i < count; ++i) {
223             points[i].offset(dx, dy);
224         }
225     }
226 
offsetSkPoint227     void offset(SkScalar dx, SkScalar dy) {
228         fX += dx;
229         fY += dy;
230     }
231 
232     /** Return the euclidian distance from (0,0) to the point
233     */
lengthSkPoint234     SkScalar length() const { return SkPoint::Length(fX, fY); }
distanceToOriginSkPoint235     SkScalar distanceToOrigin() const { return this->length(); }
236 
237     /**
238      *  Return true if the computed length of the vector is >= the internal
239      *  tolerance (used to avoid dividing by tiny values).
240      */
CanNormalizeSkPoint241     static bool CanNormalize(SkScalar dx, SkScalar dy) {
242         // Simple enough (and performance critical sometimes) so we inline it.
243         return (dx*dx + dy*dy) > (SK_ScalarNearlyZero * SK_ScalarNearlyZero);
244     }
245 
canNormalizeSkPoint246     bool canNormalize() const {
247         return CanNormalize(fX, fY);
248     }
249 
250     /** Set the point (vector) to be unit-length in the same direction as it
251         already points.  If the point has a degenerate length (i.e. nearly 0)
252         then return false and do nothing; otherwise return true.
253     */
254     bool normalize();
255 
256     /** Set the point (vector) to be unit-length in the same direction as the
257         x,y params. If the vector (x,y) has a degenerate length (i.e. nearly 0)
258         then return false and do nothing, otherwise return true.
259     */
260     bool setNormalize(SkScalar x, SkScalar y);
261 
262     /** Scale the point (vector) to have the specified length, and return that
263         length. If the original length is degenerately small (nearly zero),
264         do nothing and return false, otherwise return true.
265     */
266     bool setLength(SkScalar length);
267 
268     /** Set the point (vector) to have the specified length in the same
269      direction as (x,y). If the vector (x,y) has a degenerate length
270      (i.e. nearly 0) then return false and do nothing, otherwise return true.
271     */
272     bool setLength(SkScalar x, SkScalar y, SkScalar length);
273 
274     /** Same as setLength, but favoring speed over accuracy.
275     */
276     bool setLengthFast(SkScalar length);
277 
278     /** Same as setLength, but favoring speed over accuracy.
279     */
280     bool setLengthFast(SkScalar x, SkScalar y, SkScalar length);
281 
282     /** Scale the point's coordinates by scale, writing the answer into dst.
283         It is legal for dst == this.
284     */
285     void scale(SkScalar scale, SkPoint* dst) const;
286 
287     /** Scale the point's coordinates by scale, writing the answer back into
288         the point.
289     */
scaleSkPoint290     void scale(SkScalar value) { this->scale(value, this); }
291 
292     /** Rotate the point clockwise by 90 degrees, writing the answer into dst.
293         It is legal for dst == this.
294     */
295     void rotateCW(SkPoint* dst) const;
296 
297     /** Rotate the point clockwise by 90 degrees, writing the answer back into
298         the point.
299     */
rotateCWSkPoint300     void rotateCW() { this->rotateCW(this); }
301 
302     /** Rotate the point counter-clockwise by 90 degrees, writing the answer
303         into dst. It is legal for dst == this.
304     */
305     void rotateCCW(SkPoint* dst) const;
306 
307     /** Rotate the point counter-clockwise by 90 degrees, writing the answer
308         back into the point.
309     */
rotateCCWSkPoint310     void rotateCCW() { this->rotateCCW(this); }
311 
312     /** Negate the point's coordinates
313     */
negateSkPoint314     void negate() {
315         fX = -fX;
316         fY = -fY;
317     }
318 
319     /** Returns a new point whose coordinates are the negative of the point's
320     */
321     SkPoint operator-() const {
322         SkPoint neg;
323         neg.fX = -fX;
324         neg.fY = -fY;
325         return neg;
326     }
327 
328     /** Add v's coordinates to the point's
329     */
330     void operator+=(const SkPoint& v) {
331         fX += v.fX;
332         fY += v.fY;
333     }
334 
335     /** Subtract v's coordinates from the point's
336     */
337     void operator-=(const SkPoint& v) {
338         fX -= v.fX;
339         fY -= v.fY;
340     }
341 
342     /**
343      *  Returns true if both X and Y are finite (not infinity or NaN)
344      */
isFiniteSkPoint345     bool isFinite() const {
346         SkScalar accum = 0;
347         accum *= fX;
348         accum *= fY;
349 
350         // accum is either NaN or it is finite (zero).
351         SkASSERT(0 == accum || !(accum == accum));
352 
353         // value==value will be true iff value is not NaN
354         // TODO: is it faster to say !accum or accum==accum?
355         return accum == accum;
356     }
357 
358     /**
359      *  Returns true if the point's coordinates equal (x,y)
360      */
equalsSkPoint361     bool equals(SkScalar x, SkScalar y) const {
362         return fX == x && fY == y;
363     }
364 
365     friend bool operator==(const SkPoint& a, const SkPoint& b) {
366         return a.fX == b.fX && a.fY == b.fY;
367     }
368 
369     friend bool operator!=(const SkPoint& a, const SkPoint& b) {
370         return a.fX != b.fX || a.fY != b.fY;
371     }
372 
373     /** Return true if this point and the given point are far enough apart
374         such that a vector between them would be non-degenerate.
375 
376         WARNING: Unlike the explicit tolerance version,
377         this method does not use componentwise comparison.  Instead, it
378         uses a comparison designed to match judgments elsewhere regarding
379         degeneracy ("points A and B are so close that the vector between them
380         is essentially zero").
381     */
equalsWithinToleranceSkPoint382     bool equalsWithinTolerance(const SkPoint& p) const {
383         return !CanNormalize(fX - p.fX, fY - p.fY);
384     }
385 
386     /** WARNING: There is no guarantee that the result will reflect judgments
387         elsewhere regarding degeneracy ("points A and B are so close that the
388         vector between them is essentially zero").
389     */
equalsWithinToleranceSkPoint390     bool equalsWithinTolerance(const SkPoint& p, SkScalar tol) const {
391         return SkScalarNearlyZero(fX - p.fX, tol)
392                && SkScalarNearlyZero(fY - p.fY, tol);
393     }
394 
395     /** Returns a new point whose coordinates are the difference between
396         a's and b's (a - b)
397     */
398     friend SkPoint operator-(const SkPoint& a, const SkPoint& b) {
399         SkPoint v;
400         v.set(a.fX - b.fX, a.fY - b.fY);
401         return v;
402     }
403 
404     /** Returns a new point whose coordinates are the sum of a's and b's (a + b)
405     */
406     friend SkPoint operator+(const SkPoint& a, const SkPoint& b) {
407         SkPoint v;
408         v.set(a.fX + b.fX, a.fY + b.fY);
409         return v;
410     }
411 
412     /** Returns the euclidian distance from (0,0) to (x,y)
413     */
414     static SkScalar Length(SkScalar x, SkScalar y);
415 
416     /** Normalize pt, returning its previous length. If the prev length is too
417         small (degenerate), return 0 and leave pt unchanged. This uses the same
418         tolerance as CanNormalize.
419 
420         Note that this method may be significantly more expensive than
421         the non-static normalize(), because it has to return the previous length
422         of the point.  If you don't need the previous length, call the
423         non-static normalize() method instead.
424      */
425     static SkScalar Normalize(SkPoint* pt);
426 
427     /** Returns the euclidian distance between a and b
428     */
DistanceSkPoint429     static SkScalar Distance(const SkPoint& a, const SkPoint& b) {
430         return Length(a.fX - b.fX, a.fY - b.fY);
431     }
432 
433     /** Returns the dot product of a and b, treating them as 2D vectors
434     */
DotProductSkPoint435     static SkScalar DotProduct(const SkPoint& a, const SkPoint& b) {
436         return a.fX * b.fX + a.fY * b.fY;
437     }
438 
439     /** Returns the cross product of a and b, treating them as 2D vectors
440     */
CrossProductSkPoint441     static SkScalar CrossProduct(const SkPoint& a, const SkPoint& b) {
442         return a.fX * b.fY - a.fY * b.fX;
443     }
444 
crossSkPoint445     SkScalar cross(const SkPoint& vec) const {
446         return CrossProduct(*this, vec);
447     }
448 
dotSkPoint449     SkScalar dot(const SkPoint& vec) const {
450         return DotProduct(*this, vec);
451     }
452 
lengthSqdSkPoint453     SkScalar lengthSqd() const {
454         return DotProduct(*this, *this);
455     }
456 
distanceToSqdSkPoint457     SkScalar distanceToSqd(const SkPoint& pt) const {
458         SkScalar dx = fX - pt.fX;
459         SkScalar dy = fY - pt.fY;
460         return dx * dx + dy * dy;
461     }
462 
463     /**
464      * The side of a point relative to a line. If the line is from a to b then
465      * the values are consistent with the sign of (b-a) cross (pt-a)
466      */
467     enum Side {
468         kLeft_Side  = -1,
469         kOn_Side    =  0,
470         kRight_Side =  1
471     };
472 
473     /**
474      * Returns the squared distance to the infinite line between two pts. Also
475      * optionally returns the side of the line that the pt falls on (looking
476      * along line from a to b)
477      */
478     SkScalar distanceToLineBetweenSqd(const SkPoint& a,
479                                       const SkPoint& b,
480                                       Side* side = NULL) const;
481 
482     /**
483      * Returns the distance to the infinite line between two pts. Also
484      * optionally returns the side of the line that the pt falls on (looking
485      * along the line from a to b)
486      */
487     SkScalar distanceToLineBetween(const SkPoint& a,
488                                    const SkPoint& b,
489                                    Side* side = NULL) const {
490         return SkScalarSqrt(this->distanceToLineBetweenSqd(a, b, side));
491     }
492 
493     /**
494      * Returns the squared distance to the line segment between pts a and b
495      */
496     SkScalar distanceToLineSegmentBetweenSqd(const SkPoint& a,
497                                              const SkPoint& b) const;
498 
499     /**
500      * Returns the distance to the line segment between pts a and b.
501      */
distanceToLineSegmentBetweenSkPoint502     SkScalar distanceToLineSegmentBetween(const SkPoint& a,
503                                           const SkPoint& b) const {
504         return SkScalarSqrt(this->distanceToLineSegmentBetweenSqd(a, b));
505     }
506 
507     /**
508      * Make this vector be orthogonal to vec. Looking down vec the
509      * new vector will point in direction indicated by side (which
510      * must be kLeft_Side or kRight_Side).
511      */
512     void setOrthog(const SkPoint& vec, Side side = kLeft_Side) {
513         // vec could be this
514         SkScalar tmp = vec.fX;
515         if (kRight_Side == side) {
516             fX = -vec.fY;
517             fY = tmp;
518         } else {
519             SkASSERT(kLeft_Side == side);
520             fX = vec.fY;
521             fY = -tmp;
522         }
523     }
524 
525     /**
526      *  cast-safe way to treat the point as an array of (2) SkScalars.
527      */
asScalarsSkPoint528     const SkScalar* asScalars() const { return &fX; }
529 };
530 
531 typedef SkPoint SkVector;
532 
533 #endif
534