* Copyright (c) 2022 Huawei Device Co., Ltd.
* 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 OHOS_ROSEN_WM_MATH_H
#define OHOS_ROSEN_WM_MATH_H
#include <chrono>
#include <cmath>
#include <limits>
namespace OHOS::Rosen {
namespace MathHelper {
constexpr float PI = 3.14159265f;
constexpr float INF = std::numeric_limits<float>::infinity();
constexpr float NAG_INF = -std::numeric_limits<float>::infinity();
constexpr float POS_ZERO = 0.001f;
constexpr float NAG_ZERO = -POS_ZERO;
inline bool NearZero(float val)
{
return val < POS_ZERO && val > NAG_ZERO;
}
inline bool NearEqual(float left, float right) { return std::abs(left - right) < POS_ZERO; }
inline float ToRadians(float degrees)
{
return degrees * PI / 180.0f;
}
inline float ToDegrees(float radians)
{
return radians * 180.0f / PI;
}
inline bool LessNotEqual(double left, double right)
{
static constexpr double eps = -0.001f;
return (left - right) < eps;
}
inline bool Equal(double left, double right)
{
return (left - right) < POS_ZERO && (left - right) > NAG_ZERO;
}
inline bool GreatNotEqual(double left, double right)
{
static constexpr double eps = 0.001f;
return (left - right) > eps;
}
template <typename T>
T Max(const T& a, const T& b)
{
return (a < b ? b : a);
}
template <typename T, typename... Ts>
T Max(const T& a, const Ts&... bs)
{
return Max(a, Max(bs...));
}
template <typename T>
T Min(const T& a, const T& b)
{
return (a < b ? a : b);
}
template <typename T, typename... Ts>
T Min(const T& a, const Ts&... bs)
{
return Min(a, Min(bs...));
}
template <typename T>
T Clamp(const T& value, const T& lower, const T& upper)
{
return Min(upper, Max(lower, value));
}
inline float NonZero(float val)
{
if (!NearZero(val)) {
return val;
}
return val > 0 ? POS_ZERO : NAG_ZERO;
}
inline int32_t Floor(float val)
{
return static_cast<int32_t>(std::floor(val));
}
inline int32_t Ceil(float val)
{
return static_cast<int32_t>(std::ceil(val));
}
}
namespace TimeHelper {
inline float GetDuration(std::chrono::time_point<std::chrono::high_resolution_clock> t0,
std::chrono::time_point<std::chrono::high_resolution_clock> t1)
{
return static_cast<float>(std::chrono::duration<float, std::milli>(t1 - t0).count());
}
}
namespace TransformHelper {
struct Vector2 {
float x_, y_;
Vector2() : x_(0.0f), y_(0.0f) {}
Vector2(float inX, float inY)
: x_(inX), y_(inY) {}
friend Vector2 operator-(const Vector2& v)
{
return Vector2 { -v.x_, -v.y_ };
}
friend Vector2 operator+(const Vector2& a, const Vector2& b)
{
return Vector2 { a.x_ + b.x_, a.y_ + b.y_ };
}
friend Vector2 operator-(const Vector2& a, const Vector2& b)
{
return Vector2 { a.x_ - b.x_, a.y_ - b.y_ };
}
float LengthSq() const
{
return (x_ * x_ + y_ * y_);
}
float Length() const
{
return (std::sqrt(LengthSq()));
}
};
struct Vector3 {
float x_, y_, z_;
Vector3() : x_(0.0f), y_(0.0f), z_(0.0f) {}
Vector3(float inX, float inY, float inZ)
: x_(inX), y_(inY), z_(inZ) {}
friend Vector3 operator-(const Vector3& v)
{
return Vector3 { -v.x_, -v.y_, -v.z_ };
}
friend Vector3 operator+(const Vector3& a, const Vector3& b)
{
return Vector3 { a.x_ + b.x_, a.y_ + b.y_, a.z_ + b.z_ };
}
friend Vector3 operator-(const Vector3& a, const Vector3& b)
{
return Vector3 { a.x_ - b.x_, a.y_ - b.y_, a.z_ - b.z_ };
}
friend Vector3 operator*(const Vector3& vec, float scalar)
{
return Vector3(vec.x_ * scalar, vec.y_ * scalar, vec.z_ * scalar);
}
friend Vector3 operator*(float scalar, const Vector3& vec)
{
return Vector3(vec.x_ * scalar, vec.y_ * scalar, vec.z_ * scalar);
}
Vector3& operator*=(float scalar)
{
x_ *= scalar;
y_ *= scalar;
z_ *= scalar;
return *this;
}
float LengthSq() const
{
return (x_ * x_ + y_ * y_ + z_ * z_);
}
float Length() const
{
return (std::sqrt(LengthSq()));
}
void Normalize()
{
float length = Length();
if (length > MathHelper::POS_ZERO) {
x_ /= length;
y_ /= length;
z_ /= length;
}
}
static Vector3 Normalize(const Vector3& vec)
{
Vector3 temp = vec;
temp.Normalize();
return temp;
}
static float Dot(const Vector3& a, const Vector3& b)
{
return (a.x_ * b.x_ + a.y_ * b.y_ + a.z_ * b.z_);
}
static Vector3 Cross(const Vector3& a, const Vector3& b)
{
Vector3 temp;
temp.x_ = a.y_ * b.z_ - a.z_ * b.y_;
temp.y_ = a.z_ * b.x_ - a.x_ * b.z_;
temp.z_ = a.x_ * b.y_ - a.y_ * b.x_;
return temp;
}
};
struct Matrix3 {
float mat_[3][3];
friend Matrix3 operator*(const Matrix3& left, const Matrix3& right);
Matrix3& operator*=(const Matrix3& right);
static const Matrix3 Identity;
};
struct Matrix4 {
float mat_[4][4];
friend Matrix4 operator*(const Matrix4& left, const Matrix4& right);
Matrix4& operator*=(const Matrix4& right);
void SwapRow(int row1, int row2);
void Invert();
Vector3 GetScale() const;
Vector3 GetTranslation() const;
static const Matrix4 Identity;
static constexpr int MAT_SIZE = 4;
};
Matrix3 CreateScale(float xScale, float yScale);
Matrix3 CreateRotation(float theta);
Matrix3 CreateTranslation(const Vector2& trans);
Matrix4 CreateScale(float xScale, float yScale, float zScale);
Matrix4 CreateRotationX(float theta);
Matrix4 CreateRotationY(float theta);
Matrix4 CreateRotationZ(float theta);
Matrix4 CreateTranslation(const Vector3& trans);
Matrix4 CreateLookAt(const Vector3& eye, const Vector3& target, const Vector3& up);
Matrix4 CreatePerspective(const Vector3& camera);
Vector2 Transform(const Vector2& vec, const Matrix3& mat);
Vector3 Transform(const Vector3& vec, const Matrix4& mat);
Vector3 TransformWithPerspDiv(const Vector3& vec, const Matrix4& mat, float w = 1.0f);
Vector2 GetOriginScreenPoint(const Vector2& p, const Matrix4& mat);
}
}
#endif