muon/include/Ultralight/Geometry.h

677 lines
16 KiB
C++

///
/// @file Geometry.h
///
/// @brief The header for various geometry definitions and helpers
///
/// @author
///
/// This file is a part of Ultralight, a fast, lightweight, HTML UI engine
///
/// Website: <http://ultralig.ht>
///
/// Copyright (C) 2019 Ultralight, Inc. All rights reserved.
///
#pragma once
#include <Ultralight/Defines.h>
#include <memory.h>
#include <cmath>
#include <algorithm>
namespace ultralight {
///
/// 2D Vector Helper
///
struct UExport vec2 {
union {
float value[2];
struct { float x, y; };
};
inline vec2() {}
inline vec2(float x, float y) : x(x), y(y) {}
inline vec2(float x) : x(x), y(x) {}
inline vec2 yx() const { return { y, x }; }
inline vec2 xx() const { return { x, x }; }
inline vec2 yy() const { return { y, y }; }
inline friend vec2 operator+(vec2 lhs, const vec2& rhs) { lhs += rhs; return lhs; }
inline friend vec2 operator-(vec2 lhs, const vec2& rhs) { lhs -= rhs; return lhs; }
inline friend vec2 operator*(vec2 lhs, const vec2& rhs) { lhs *= rhs; return lhs; }
inline friend vec2 operator/(vec2 lhs, const vec2& rhs) { lhs /= rhs; return lhs; }
inline friend vec2 operator+(vec2 lhs, float rhs) { lhs += rhs; return lhs; }
inline friend vec2 operator-(vec2 lhs, float rhs) { lhs -= rhs; return lhs; }
inline friend vec2 operator*(vec2 lhs, float rhs) { lhs *= rhs; return lhs; }
inline friend vec2 operator/(vec2 lhs, float rhs) { lhs /= rhs; return lhs; }
inline vec2& operator+=(const vec2& rhs) {
value[0] += rhs.value[0];
value[1] += rhs.value[1];
return *this;
}
inline vec2& operator-=(const vec2& rhs) {
value[0] -= rhs.value[0];
value[1] -= rhs.value[1];
return *this;
}
inline vec2& operator*=(const vec2& rhs) {
value[0] *= rhs.value[0];
value[1] *= rhs.value[1];
return *this;
}
inline vec2& operator/=(const vec2& rhs) {
value[0] /= rhs.value[0];
value[1] /= rhs.value[1];
return *this;
}
inline vec2& operator+=(float rhs) {
value[0] += rhs;
value[1] += rhs;
return *this;
}
inline vec2& operator-=(float rhs) {
value[0] -= rhs;
value[1] -= rhs;
return *this;
}
inline vec2& operator*=(float rhs) {
value[0] *= rhs;
value[1] *= rhs;
return *this;
}
inline vec2& operator/=(float rhs) {
value[0] /= rhs;
value[1] /= rhs;
return *this;
}
inline friend bool operator==(const vec2& a, const vec2& b) {
return !memcmp(&a, &b, sizeof(a));
}
inline friend bool operator!=(const vec2& a, const vec2& b) {
return !(a == b);
}
inline friend vec2 min_(const vec2& a, const vec2& b) {
return{ (b.x < a.x) ? b.x : a.x,
(b.y < a.y) ? b.y : a.y };
}
inline friend vec2 max_(const vec2& a, const vec2& b) {
return{ (a.x < b.x) ? b.x : a.x,
(a.y < b.y) ? b.y : a.y };
}
inline friend vec2 clamp(const vec2& x, const vec2& minVal, const vec2& maxVal) {
return min_(max_(x, minVal), maxVal);
}
inline friend vec2 mix(const vec2& a, const vec2& b, float t) {
return a * (1.0f - t) + b * t;
}
inline friend float length(const vec2& a) {
return sqrtf(a.x * a.x + a.y * a.y);
}
// squared length
inline friend float length2(const vec2& a) {
return dot(a, a);
}
inline friend float distance(const vec2& a, const vec2& b) {
return length(a - b);
}
// squared distance
inline friend float distance2(const vec2& a, const vec2& b) {
return length2(a - b);
}
inline friend vec2 normalize(const vec2& a) {
return a / length(a);
}
inline friend float dot(const vec2& a, const vec2& b) {
return a.x * b.x + a.y * b.y;
}
};
///
/// 3D Vector Helper
///
struct UExport vec3 {
union {
float value[3];
struct { float x, y, z; };
};
inline vec3() {}
inline vec3(float x, float y, float z) : x(x), y(y), z(z) {}
inline vec3(float x) : x(x), y(x), z(x) {}
inline friend vec3 operator+(vec3 lhs, const vec3& rhs) { lhs += rhs; return lhs; }
inline friend vec3 operator-(vec3 lhs, const vec3& rhs) { lhs -= rhs; return lhs; }
inline friend vec3 operator*(vec3 lhs, const vec3& rhs) { lhs *= rhs; return lhs; }
inline friend vec3 operator/(vec3 lhs, const vec3& rhs) { lhs /= rhs; return lhs; }
inline friend vec3 operator+(vec3 lhs, float rhs) { lhs += rhs; return lhs; }
inline friend vec3 operator-(vec3 lhs, float rhs) { lhs -= rhs; return lhs; }
inline friend vec3 operator*(vec3 lhs, float rhs) { lhs *= rhs; return lhs; }
inline friend vec3 operator/(vec3 lhs, float rhs) { lhs /= rhs; return lhs; }
inline vec3& operator+=(const vec3& rhs) {
value[0] += rhs.value[0];
value[1] += rhs.value[1];
value[2] += rhs.value[2];
return *this;
}
inline vec3& operator-=(const vec3& rhs) {
value[0] -= rhs.value[0];
value[1] -= rhs.value[1];
value[2] -= rhs.value[2];
return *this;
}
inline vec3& operator*=(const vec3& rhs) {
value[0] *= rhs.value[0];
value[1] *= rhs.value[1];
value[2] *= rhs.value[2];
return *this;
}
inline vec3& operator/=(const vec3& rhs) {
value[0] /= rhs.value[0];
value[1] /= rhs.value[1];
value[2] /= rhs.value[2];
return *this;
}
inline vec3& operator+=(float rhs) {
value[0] += rhs;
value[1] += rhs;
value[2] += rhs;
return *this;
}
inline vec3& operator-=(float rhs) {
value[0] -= rhs;
value[1] -= rhs;
value[2] -= rhs;
return *this;
}
inline vec3& operator*=(float rhs) {
value[0] *= rhs;
value[1] *= rhs;
value[2] *= rhs;
return *this;
}
inline vec3& operator/=(float rhs) {
value[0] /= rhs;
value[1] /= rhs;
value[2] /= rhs;
return *this;
}
inline friend bool operator==(const vec3& a, const vec3& b) {
return !memcmp(&a, &b, sizeof(a));
}
inline friend bool operator!=(const vec3& a, const vec3& b) {
return !(a == b);
}
inline friend vec3 min_(const vec3& a, const vec3& b) {
return{ (b.x < a.x) ? b.x : a.x,
(b.y < a.y) ? b.y : a.y,
(b.z < a.z) ? b.z : a.z };
}
inline friend vec3 max_(const vec3& a, const vec3& b) {
return{ (a.x < b.x) ? b.x : a.x,
(a.y < b.y) ? b.y : a.y,
(a.z < b.z) ? b.z : a.z };
}
inline friend vec3 clamp(const vec3& x, const vec3& minVal, const vec3& maxVal) {
return min_(max_(x, minVal), maxVal);
}
inline friend vec3 mix(const vec3& a, const vec3& b, float t) {
return a * (1.0f - t) + b * t;
}
inline friend float length(const vec3& a) {
return sqrtf(a.x * a.x + a.y * a.y + a.z * a.z);
}
inline friend float distance(const vec3& a, const vec3& b) {
return length(a - b);
}
inline friend vec3 normalize(const vec3& a) {
return a / length(a);
}
inline friend float dot(const vec3& a, const vec3& b) {
return a.x * b.x + a.y * b.y + a.z * b.z;
}
};
///
/// 4D Vector Helper
///
struct UExport vec4 {
union {
float value[4];
struct { float x, y, z, w; };
};
inline vec4() {}
inline vec4(float x, float y, float z, float w) : x(x), y(y), z(z), w(w) {}
inline vec4(float x) : x(x), y(x), z(x), w(x) {}
inline vec4(const float x[4]) { memcpy(value, x, sizeof(value)); }
inline friend bool operator==(const vec4& a, const vec4& b) {
return !memcmp(&a, &b, sizeof(a));
}
inline friend bool operator!=(const vec4& a, const vec4& b) {
return !(a == b);
}
inline friend vec4 operator+(vec4 lhs, const vec4& rhs) { lhs += rhs; return lhs; }
inline friend vec4 operator-(vec4 lhs, const vec4& rhs) { lhs -= rhs; return lhs; }
inline friend vec4 operator*(vec4 lhs, const vec4& rhs) { lhs *= rhs; return lhs; }
inline friend vec4 operator/(vec4 lhs, const vec4& rhs) { lhs /= rhs; return lhs; }
inline friend vec4 operator+(vec4 lhs, float rhs) { lhs += rhs; return lhs; }
inline friend vec4 operator-(vec4 lhs, float rhs) { lhs -= rhs; return lhs; }
inline friend vec4 operator*(vec4 lhs, float rhs) { lhs *= rhs; return lhs; }
inline friend vec4 operator/(vec4 lhs, float rhs) { lhs /= rhs; return lhs; }
inline vec4& operator+=(const vec4& rhs) {
value[0] += rhs.value[0];
value[1] += rhs.value[1];
value[2] += rhs.value[2];
value[3] += rhs.value[3];
return *this;
}
inline vec4& operator-=(const vec4& rhs) {
value[0] -= rhs.value[0];
value[1] -= rhs.value[1];
value[2] -= rhs.value[2];
value[3] -= rhs.value[3];
return *this;
}
inline vec4& operator*=(const vec4& rhs) {
value[0] *= rhs.value[0];
value[1] *= rhs.value[1];
value[2] *= rhs.value[2];
value[3] *= rhs.value[3];
return *this;
}
inline vec4& operator/=(const vec4& rhs) {
value[0] /= rhs.value[0];
value[1] /= rhs.value[1];
value[2] /= rhs.value[2];
value[3] /= rhs.value[3];
return *this;
}
inline vec4& operator+=(float rhs) {
value[0] += rhs;
value[1] += rhs;
value[2] += rhs;
value[3] += rhs;
return *this;
}
inline vec4& operator-=(float rhs) {
value[0] -= rhs;
value[1] -= rhs;
value[2] -= rhs;
value[3] -= rhs;
return *this;
}
inline vec4& operator*=(float rhs) {
value[0] *= rhs;
value[1] *= rhs;
value[2] *= rhs;
value[3] *= rhs;
return *this;
}
inline vec4& operator/=(float rhs) {
value[0] /= rhs;
value[1] /= rhs;
value[2] /= rhs;
value[3] /= rhs;
return *this;
}
inline friend vec4 min_(const vec4& a, const vec4& b) {
return{ (b.x < a.x) ? b.x : a.x,
(b.y < a.y) ? b.y : a.y,
(b.z < a.z) ? b.z : a.z,
(b.w < a.w) ? b.w : a.w };
}
inline friend vec4 max_(const vec4& a, const vec4& b) {
return{ (a.x < b.x) ? b.x : a.x,
(a.y < b.y) ? b.y : a.y,
(a.z < b.z) ? b.z : a.z,
(a.w < b.w) ? b.w : a.w };
}
};
///
/// Point is typedef'd to a 2D vector
///
typedef vec2 Point;
///
/// Float Rectangle Helper
///
struct UExport Rect {
union {
float value[4];
struct { float left, top, right, bottom; };
};
static inline Rect MakeEmpty() {
Rect result;
result.SetEmpty();
return result;
}
inline float width() const { return right - left; }
inline float height() const { return bottom - top; }
inline float x() const { return left; }
inline float y() const { return top; }
inline float center_x() const { return (left + right) * 0.5f; }
inline float center_y() const { return (top + bottom) * 0.5f; }
inline Point origin() const { return { left, top }; }
inline void SetEmpty() {
memset(this, 0, sizeof(*this));
}
inline bool IsEmpty() const {
return *this == MakeEmpty();
}
inline bool IsValid() const {
return width() > 0 && height() > 0;
}
inline void Inset(float dx, float dy) {
value[0] += dx;
value[1] += dy;
value[2] -= dx;
value[3] -= dy;
}
inline void Outset(float dx, float dy) {
Inset(-dx, -dy);
}
inline void Move(float dx, float dy) {
value[0] += dx;
value[1] += dy;
value[2] += dx;
value[3] += dy;
}
inline float area() const {
return width() * height();
}
inline void Join(const Rect& rhs) {
// if we are empty, just assign
if (IsEmpty()) {
*this = rhs;
}
else {
if (rhs.value[0] < value[0]) value[0] = rhs.value[0];
if (rhs.value[1] < value[1]) value[1] = rhs.value[1];
if (rhs.value[2] > value[2]) value[2] = rhs.value[2];
if (rhs.value[3] > value[3]) value[3] = rhs.value[3];
}
}
inline void Join(const Point& p) {
// if we are empty, just assign
if (IsEmpty()) {
*this = { p.x, p.y, p.x, p.y };
}
else {
if (p.x < value[0]) value[0] = p.x;
if (p.y < value[1]) value[1] = p.y;
if (p.x > value[2]) value[2] = p.x;
if (p.y > value[3]) value[3] = p.y;
}
}
inline bool Contains(const Point& p) const {
return p.x >= left && p.x <= right &&
p.y >= top && p.y <= bottom;
}
inline bool Contains(const Rect& r) const {
return left <= r.left && top <= r.top &&
right >= r.right && bottom >= r.bottom;
}
inline bool Intersects(const Rect& rhs) const {
return !(rhs.left > right ||
rhs.right < left ||
rhs.top > bottom ||
rhs.bottom < top);
}
inline Rect Intersect(const Rect& other) const {
return{ (left < other.left) ? other.left : left,
(top < other.top) ? other.top : top,
(other.right < right) ? other.right : right,
(other.bottom < bottom) ? other.bottom : bottom };
}
friend inline bool operator==(const Rect& a, const Rect& b) {
return !memcmp(&a, &b, sizeof(a));
}
friend inline bool operator!=(const Rect& a, const Rect& b) {
return !(a == b);
}
};
///
/// Integer Rectangle Helper
///
struct UExport IntRect {
union {
int value[4];
struct { int left, top, right, bottom; };
};
static inline IntRect MakeEmpty() {
IntRect result;
result.SetEmpty();
return result;
}
inline int width() const { return right - left; }
inline int height() const { return bottom - top; }
inline int x() const { return left; }
inline int y() const { return top; }
inline int center_x() const { return (int)std::round((left + right) * 0.5f); }
inline int center_y() const { return (int)std::round((top + bottom) * 0.5f); }
inline Point origin() const { return{ (float)left, (float)top }; }
inline void SetEmpty() {
memset(this, 0, sizeof(*this));
}
inline bool IsEmpty() const {
return *this == MakeEmpty();
}
inline bool IsValid() const {
return width() > 0 && height() > 0;
}
inline void Inset(int dx, int dy) {
value[0] += dx;
value[1] += dy;
value[2] -= dx;
value[3] -= dy;
}
inline void Outset(int dx, int dy) {
Inset(-dx, -dy);
}
inline void Move(int dx, int dy) {
value[0] += dx;
value[1] += dy;
value[2] += dx;
value[3] += dy;
}
inline int area() const {
return width() * height();
}
inline void Join(const IntRect& rhs) {
// if we are empty, just assign
if (IsEmpty()) {
*this = rhs;
}
else {
if (rhs.value[0] < value[0]) value[0] = rhs.value[0];
if (rhs.value[1] < value[1]) value[1] = rhs.value[1];
if (rhs.value[2] > value[2]) value[2] = rhs.value[2];
if (rhs.value[3] > value[3]) value[3] = rhs.value[3];
}
}
inline void Join(const Point& p) {
// if we are empty, just assign
if (IsEmpty()) {
*this = { (int)std::floor(p.x), (int)std::floor(p.y), (int)std::ceil(p.x), (int)std::ceil(p.y) };
}
else {
if ((int)std::floor(p.x) < value[0]) value[0] = (int)std::floor(p.x);
if ((int)std::floor(p.y) < value[1]) value[1] = (int)std::floor(p.y);
if ((int)std::ceil(p.x) > value[2]) value[2] = (int)std::ceil(p.x);
if ((int)std::ceil(p.y) > value[3]) value[3] = (int)std::ceil(p.y);
}
}
inline bool Contains(const Point& p) const {
return p.x >= left && p.x <= right &&
p.y >= top && p.y <= bottom;
}
inline bool Contains(const IntRect& r) const {
return left <= r.left && top <= r.top &&
right >= r.right && bottom >= r.bottom;
}
inline bool Intersects(const IntRect& rhs) const {
// Since this is mostly used for pixel operations, we only count
// intersections that have width and height >= 1.
return !(rhs.left > right - 1 ||
rhs.right < left ||
rhs.top > bottom - 1 ||
rhs.bottom < top);
}
inline IntRect Intersect(const IntRect& other) const {
return{ (left < other.left) ? other.left : left,
(top < other.top) ? other.top : top,
(other.right < right) ? other.right : right,
(other.bottom < bottom) ? other.bottom : bottom };
}
friend inline bool operator==(const IntRect& a, const IntRect& b) {
return !memcmp(&a, &b, sizeof(a));
}
friend inline bool operator!=(const IntRect& a, const IntRect& b) {
return !(a == b);
}
};
///
/// Rounded Rectangle Helper
///
struct UExport RoundedRect {
Rect rect;
float radii_x[4];
float radii_y[4];
void SetEmpty();
bool IsRounded() const;
// Negative is inside, positive is outside.
float GetSignedDistance(const Point& p) const;
// Returns whether or not intersection is found. Can fail if the resulting
// geometry is not a rounded rectangle.
bool Intersect(const RoundedRect& other, RoundedRect& result) const;
void SnapToPixels();
Rect CalculateInterior() const;
};
} // namespace ultralight