27 {
28 using Type = T;
29
32
33 constexpr TPoint() = default;
34
35 template <class U>
36 explicit constexpr TPoint(const TPoint<U>& other)
37 : TPoint(static_cast<Type>(other.
x), static_cast<Type>(other.
y)) {}
38
39 template <class U>
40 explicit constexpr TPoint(const TSize<U>& other)
41 : TPoint(static_cast<Type>(other.
width),
42 static_cast<Type>(other.
height)) {}
43
44 constexpr TPoint(Type
x, Type
y) :
x(
x),
y(
y) {}
45
46 static constexpr TPoint<Type> MakeXY(Type
x, Type
y) {
return {
x,
y}; }
47
48 template <class U>
49 static constexpr TPoint Round(const TPoint<U>& other) {
50 return TPoint{static_cast<Type>(std::round(other.x)),
51 static_cast<Type>(std::round(other.y))};
52 }
53
54 constexpr bool operator==(
const TPoint& p)
const {
55 return p.x ==
x && p.y ==
y;
56 }
57
58 constexpr bool operator!=(
const TPoint& p)
const {
59 return p.x !=
x || p.y !=
y;
60 }
61
62 template <class U>
63 inline TPoint operator+=(const TPoint<U>& p) {
64 x +=
static_cast<Type
>(p.x);
65 y +=
static_cast<Type
>(p.y);
66 return *this;
67 }
68
69 template <class U>
70 inline TPoint operator+=(const TSize<U>& s) {
71 x +=
static_cast<Type
>(s.width);
72 y +=
static_cast<Type
>(s.height);
73 return *this;
74 }
75
76 template <class U>
77 inline TPoint operator-=(const TPoint<U>& p) {
78 x -=
static_cast<Type
>(p.x);
79 y -=
static_cast<Type
>(p.y);
80 return *this;
81 }
82
83 template <class U>
84 inline TPoint operator-=(const TSize<U>& s) {
85 x -=
static_cast<Type
>(s.width);
86 y -=
static_cast<Type
>(s.height);
87 return *this;
88 }
89
90 template <class U>
91 inline TPoint operator*=(const TPoint<U>& p) {
92 x *=
static_cast<Type
>(p.x);
93 y *=
static_cast<Type
>(p.y);
94 return *this;
95 }
96
97 template <class U>
98 inline TPoint operator*=(const TSize<U>& s) {
99 x *=
static_cast<Type
>(s.width);
100 y *=
static_cast<Type
>(s.height);
101 return *this;
102 }
103
104 template <class U, class = std::enable_if_t<std::is_arithmetic_v<U>>>
105 inline TPoint operator*=(U scale) {
106 x *=
static_cast<Type
>(scale);
107 y *=
static_cast<Type
>(scale);
108 return *this;
109 }
110
111 template <class U>
112 inline TPoint operator/=(const TPoint<U>& p) {
113 x /=
static_cast<Type
>(p.x);
114 y /=
static_cast<Type
>(p.y);
115 return *this;
116 }
117
118 template <class U>
119 inline TPoint operator/=(const TSize<U>& s) {
120 x /=
static_cast<Type
>(s.width);
121 y /=
static_cast<Type
>(s.height);
122 return *this;
123 }
124
125 template <class U, class = std::enable_if_t<std::is_arithmetic_v<U>>>
126 inline TPoint operator/=(U scale) {
127 x /=
static_cast<Type
>(scale);
128 y /=
static_cast<Type
>(scale);
129 return *this;
130 }
131
132 constexpr TPoint
operator-()
const {
return {-
x, -
y}; }
133
134 constexpr TPoint
operator+(
const TPoint& p)
const {
135 return {
x + p.x,
y + p.y};
136 }
137
138 template <class U>
139 constexpr TPoint
operator+(
const TSize<U>& s)
const {
140 return {
x +
static_cast<Type
>(s.width),
y +
static_cast<Type
>(s.height)};
141 }
142
143 constexpr TPoint
operator-(
const TPoint& p)
const {
144 return {
x - p.x,
y - p.y};
145 }
146
147 template <class U>
148 constexpr TPoint
operator-(
const TSize<U>& s)
const {
149 return {
x -
static_cast<Type
>(s.width),
y -
static_cast<Type
>(s.height)};
150 }
151
152 template <class U, class = std::enable_if_t<std::is_arithmetic_v<U>>>
153 constexpr TPoint
operator*(U scale)
const {
154 return {
static_cast<Type
>(
x * scale),
static_cast<Type
>(
y * scale)};
155 }
156
157 constexpr TPoint
operator*(
const TPoint& p)
const {
158 return {
x * p.x,
y * p.y};
159 }
160
161 template <class U>
162 constexpr TPoint
operator*(
const TSize<U>& s)
const {
163 return {
x *
static_cast<Type
>(s.width),
y *
static_cast<Type
>(s.height)};
164 }
165
166 template <class U, class = std::enable_if_t<std::is_arithmetic_v<U>>>
168 return {
static_cast<Type
>(
x /
d),
static_cast<Type
>(
y /
d)};
169 }
170
171 constexpr TPoint
operator/(
const TPoint& p)
const {
172 return {
x / p.x,
y / p.y};
173 }
174
175 template <class U>
176 constexpr TPoint
operator/(
const TSize<U>& s)
const {
177 return {
x /
static_cast<Type
>(s.width),
y /
static_cast<Type
>(s.height)};
178 }
179
180 constexpr Type GetDistanceSquared(const TPoint& p) const {
183 return dx * dx + dy * dy;
184 }
185
186 constexpr TPoint Min(const TPoint& p) const {
187 return {std::min<Type>(
x, p.x), std::min<Type>(
y, p.y)};
188 }
189
190 constexpr TPoint Max(const TPoint& p) const {
191 return {std::max<Type>(
x, p.x), std::max<Type>(
y, p.y)};
192 }
193
194 constexpr TPoint Floor()
const {
return {std::floor(
x), std::floor(
y)}; }
195
196 constexpr TPoint Ceil()
const {
return {std::ceil(
x), std::ceil(
y)}; }
197
198 constexpr TPoint Round()
const {
return {std::round(
x), std::round(
y)}; }
199
200 constexpr Type GetDistance(const TPoint& p) const {
201 return sqrt(GetDistanceSquared(p));
202 }
203
204 constexpr Type GetLengthSquared() const { return GetDistanceSquared({}); }
205
206 constexpr Type GetLength() const { return GetDistance({}); }
207
208 constexpr TPoint Normalize() const {
209 const auto length = GetLength();
211 return {1, 0};
212 }
214 }
215
216 constexpr TPoint Abs()
const {
return {std::fabs(
x), std::fabs(
y)}; }
217
218 constexpr Type Cross(
const TPoint& p)
const {
return (
x * p.y) - (
y * p.x); }
219
220 constexpr Type Dot(
const TPoint& p)
const {
return (
x * p.x) + (
y * p.y); }
221
222 constexpr TPoint Reflect(const TPoint& axis) const {
223 return *this - axis * this->Dot(axis) * 2;
224 }
225
226 constexpr TPoint Rotate(const Radians& angle) const {
227 const auto cos_a = std::cosf(angle.radians);
228 const auto sin_a = std::sinf(angle.radians);
229 return {
x * cos_a -
y * sin_a,
x * sin_a +
y * cos_a};
230 }
231
232 constexpr Radians AngleTo(const TPoint& p) const {
233 return Radians{std::atan2(this->Cross(p), this->Dot(p))};
234 }
235
236 constexpr TPoint Lerp(const TPoint& p, Scalar t) const {
237 return *this + (p - *this) * t;
238 }
239
240 constexpr bool IsZero()
const {
return x == 0 &&
y == 0; }
241
243 IsFinite()
const {
return std::isfinite(
x) && std::isfinite(
y); }
244};
245
246
247
248template <class F, class I, class = MixedOp<F, I>>
249constexpr TPoint<F>
operator+(
const TPoint<F>& p1,
const TPoint<I>& p2) {
250 return {p1.x + static_cast<F>(p2.x), p1.y + static_cast<F>(p2.y)};
251}
252
253template <class F, class I, class = MixedOp<F, I>>
254constexpr TPoint<F>
operator+(
const TPoint<I>& p1,
const TPoint<F>& p2) {
255 return p2 + p1;
256}
257
258template <class F, class I, class = MixedOp<F, I>>
259constexpr TPoint<F>
operator-(
const TPoint<F>& p1,
const TPoint<I>& p2) {
260 return {p1.x - static_cast<F>(p2.x), p1.y - static_cast<F>(p2.y)};
261}
262
263template <class F, class I, class = MixedOp<F, I>>
264constexpr TPoint<F>
operator-(
const TPoint<I>& p1,
const TPoint<F>& p2) {
265 return {static_cast<F>(p1.x) - p2.x, static_cast<F>(p1.y) - p2.y};
266}
267
268template <class F, class I, class = MixedOp<F, I>>
269constexpr TPoint<F>
operator*(
const TPoint<F>& p1,
const TPoint<I>& p2) {
270 return {p1.x * static_cast<F>(p2.x), p1.y * static_cast<F>(p2.y)};
271}
272
273template <class F, class I, class = MixedOp<F, I>>
274constexpr TPoint<F>
operator*(
const TPoint<I>& p1,
const TPoint<F>& p2) {
275 return p2 * p1;
276}
277
278template <class F, class I, class = MixedOp<F, I>>
279constexpr TPoint<F>
operator/(
const TPoint<F>& p1,
const TPoint<I>& p2) {
280 return {p1.x / static_cast<F>(p2.x), p1.y / static_cast<F>(p2.y)};
281}
282
283template <class F, class I, class = MixedOp<F, I>>
284constexpr TPoint<F>
operator/(
const TPoint<I>& p1,
const TPoint<F>& p2) {
285 return {static_cast<F>(p1.x) / p2.x, static_cast<F>(p1.y) / p2.y};
286}
287
288
289
290template <class T, class U, class = std::enable_if_t<std::is_arithmetic_v<U>>>
291constexpr TPoint<T>
operator*(U s,
const TPoint<T>& p) {
292 return p * s;
293}
294
295template <class T, class U, class = std::enable_if_t<std::is_arithmetic_v<U>>>
296constexpr TPoint<T>
operator/(U s,
const TPoint<T>& p) {
297 return {static_cast<T>(s) / p.x, static_cast<T>(s) / p.y};
298}
299
300
301
302template <class T, class U>
303constexpr TPoint<T>
operator+(
const TSize<U>& s,
const TPoint<T>& p) {
304 return p + s;
305}
306
307template <class T, class U>
308constexpr TPoint<T>
operator-(
const TSize<U>& s,
const TPoint<T>& p) {
309 return {static_cast<T>(s.width) - p.x, static_cast<T>(s.height) - p.y};
310}
311
312template <class T, class U>
313constexpr TPoint<T>
operator*(
const TSize<U>& s,
const TPoint<T>& p) {
314 return p * s;
315}
316
317template <class T, class U>
318constexpr TPoint<T>
operator/(
const TSize<U>& s,
const TPoint<T>& p) {
319 return {static_cast<T>(s.width) / p.x, static_cast<T>(s.height) / p.y};
320}
321
322template <class T>
323constexpr TPoint<T>
operator-(
const TPoint<T>& p, T v) {
324 return {p.x - v, p.y - v};
325}
326
327using Point = TPoint<Scalar>;
328using IPoint = TPoint<int64_t>;
332using Quad = std::array<Point, 4>;
333
334[[maybe_unused]]
336 {1.0f, 0.0f},
337 {0.0f, 1.0f},
338 {-1.0f, 0.0f},
339 {0.0f, -1.0f},
340};
341
342#undef ONLY_ON_FLOAT
343#undef ONLY_ON_FLOAT_M
344
345}
346
348
349template <class T>
350inline std::ostream&
operator<<(std::ostream& out,
352 out <<
"(" << p.
x <<
", " << p.
y <<
")";
353 return out;
354}
355
356}
357
358#endif
bool operator==(const FlutterPoint &a, const FlutterPoint &b)
#define ONLY_ON_FLOAT_M(Modifiers, Return)
bool operator!=(const T &value, const UniqueObject< T, Traits > &object)
constexpr Color operator-(T value, const Color &c)
constexpr Color operator/(T value, const Color &c)
constexpr Color operator+(T value, const Color &c)
TPoint< int32_t > IPoint32
static constexpr impeller::Vector2 kQuadrantAxes[4]
constexpr Color operator*(T value, const Color &c)
TPoint< uint32_t > UintPoint32
std::array< Point, 4 > Quad
std::ostream & operator<<(std::ostream &out, const impeller::Arc &a)