urho3d/Engine/Math/Vector4.h

//
// Urho3D Engine
// Copyright (c) 2008-2012 Lasse Oorni
//
// Permission is hereby granted, free of charge, to any person obtaining a copy
// of this software and associated documentation files (the "Software"), to deal
// in the Software without restriction, including without limitation the rights
// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
// copies of the Software, and to permit persons to whom the Software is
// furnished to do so, subject to the following conditions:
//
// The above copyright notice and this permission notice shall be included in
// all copies or substantial portions of the Software.
//
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
// THE SOFTWARE.
//

#pragma once

#include "Vector3.h"

namespace Urho3D
{

/// Four-dimensional vector.
class Vector4
{
public:
    /// Construct undefined.
    Vector4()
    {
    }
    
    /// Copy-construct from another vector.
    Vector4(const Vector4& vector) :
        x_(vector.x_),
        y_(vector.y_),
        z_(vector.z_),
        w_(vector.w_)
    {
    }
    
    /// Construct from a 3-dimensional vector and the W coordinate.
    Vector4(const Vector3& vector, float w) :
        x_(vector.x_),
        y_(vector.y_),
        z_(vector.z_),
        w_(w)
    {
    }
    
    /// Construct from coordinates.
    Vector4(float x, float y, float z, float w) :
        x_(x),
        y_(y),
        z_(z),
        w_(w)
    {
    }
    
    /// Construct from a float array.
    Vector4(const float* data) :
        x_(data[0]),
        y_(data[1]),
        z_(data[2]),
        w_(data[3])
    {
    }
    
    /// Assign from another vector.
    Vector4& operator = (const Vector4& rhs)
    {
        x_ = rhs.x_;
        y_ = rhs.y_;
        z_ = rhs.z_;
        w_ = rhs.w_;
        return *this;
    }
    
    /// Test for equality with another vector without epsilon.
    bool operator == (const Vector4& rhs) const { return x_ == rhs.x_ && y_ == rhs.y_ && z_ == rhs.z_ && w_ == rhs.w_; }
    /// Test for inequality with another vector without epsilon.
    bool operator != (const Vector4& rhs) const { return x_ != rhs.x_ || y_ != rhs.y_ || z_ != rhs.z_ || w_ != rhs.w_; }
    /// Add a vector.
    Vector4 operator + (const Vector4& rhs) const { return Vector4(x_ + rhs.x_, y_ + rhs.y_, z_ + rhs.z_, w_ + rhs.w_); }
    /// Return negation.
    Vector4 operator - () const { return Vector4(-x_, -y_, -z_, -w_); }
    /// Subtract a vector.
    Vector4 operator - (const Vector4& rhs) const { return Vector4(x_ - rhs.x_, y_ - rhs.y_, z_ - rhs.z_, w_ - rhs.w_); }
    /// Multiply with a scalar.
    Vector4 operator * (float rhs) const { return Vector4(x_ * rhs, y_ * rhs, z_ * rhs, w_ * rhs); }
    /// Multiply with a vector.
    Vector4 operator * (const Vector4& rhs) const { return Vector4(x_ * rhs.x_, y_ * rhs.y_, z_ * rhs.z_, w_ * rhs.w_); }
    /// Divide by a scalar.
    Vector4 operator / (float rhs) const { return Vector4(x_ / rhs, y_ / rhs, z_ / rhs, w_ / rhs); }
    /// Divide by a vector.
    Vector4 operator / (const Vector4& rhs) const { return Vector4(x_ / rhs.x_, y_ / rhs.y_, z_ / rhs.z_, w_ / rhs.w_); }
    
    /// Add-assign a vector.
    Vector4& operator += (const Vector4& rhs)
    {
        x_ += rhs.x_;
        y_ += rhs.y_;
        z_ += rhs.z_;
        w_ += rhs.w_;
        return *this;
    }
    
    /// Subtract-assign a vector.
    Vector4& operator -= (const Vector4& rhs)
    {
        x_ -= rhs.x_;
        y_ -= rhs.y_;
        z_ -= rhs.z_;
        w_ -= rhs.w_;
        return *this;
    }
    
    /// Multiply-assign a scalar.
    Vector4& operator *= (float rhs)
    {
        x_ *= rhs;
        y_ *= rhs;
        z_ *= rhs;
        w_ *= rhs;
        return *this;
    }
    
    /// Multiply-assign a vector.
    Vector4& operator *= (const Vector4& rhs)
    {
        x_ *= rhs.x_;
        y_ *= rhs.y_;
        z_ *= rhs.z_;
        w_ *= rhs.w_;
        return *this;
    }
    
    /// Divide-assign a scalar.
    Vector4& operator /= (float rhs)
    {
        float invRhs = 1.0f / rhs;
        x_ *= invRhs;
        y_ *= invRhs;
        z_ *= invRhs;
        w_ *= invRhs;
        return *this;
    }
    
    /// Divide-assign a vector.
    Vector4& operator /= (const Vector4& rhs)
    {
        x_ /= rhs.x_;
        y_ /= rhs.y_;
        z_ /= rhs.z_;
        w_ /= rhs.w_;
        return *this;
    }
    
    /// Calculate dot product.
    float DotProduct(const Vector4& rhs) const { return x_ * rhs.x_ + y_ * rhs.y_ + z_ * rhs.z_ + w_ * rhs.w_; }
    /// Calculate absolute dot product.
    float AbsDotProduct(const Vector4& rhs) const { return Urho3D::Abs(x_ * rhs.x_) + Urho3D::Abs(y_ * rhs.y_) + Urho3D::Abs(z_ * rhs.z_) + Urho3D::Abs(w_ * rhs.w_); }
    /// Return absolute vector.
    Vector4 Abs() const { return Vector4(Urho3D::Abs(x_), Urho3D::Abs(y_), Urho3D::Abs(z_), Urho3D::Abs(w_)); }
    /// Linear interpolation with another vector.
    Vector4 Lerp(const Vector4& rhs, float t) const { return *this * (1.0f - t) + rhs * t; }
    /// Test for equality with another vector with epsilon.
    bool Equals(const Vector4& rhs) const { return Urho3D::Equals(x_, rhs.x_) && Urho3D::Equals(y_, rhs.y_) && Urho3D::Equals(z_, rhs.z_) && Urho3D::Equals(w_, rhs.w_); }
    
    /// Return float data.
    const float* Data() const { return &x_; }
    /// Return as string.
    String ToString() const;
    
    /// X coordinate.
    float x_;
    /// Y coordinate.
    float y_;
    /// Z coordinate.
    float z_;
    /// W coordinate.
    float w_;
    
    /// Zero vector.
    static const Vector4 ZERO;
    /// (1,1,1) vector.
    static const Vector4 ONE;
};

/// Multiply Vector4 with a scalar.
inline Vector4 operator * (float lhs, const Vector4& rhs) { return rhs * lhs; }

}