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81 lines
4.2 KiB
C++
81 lines
4.2 KiB
C++
/*
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==============================================================================
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This file is part of the JUCE library.
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Copyright (c) 2015 - ROLI Ltd.
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Permission is granted to use this software under the terms of either:
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a) the GPL v2 (or any later version)
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b) the Affero GPL v3
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Details of these licenses can be found at: www.gnu.org/licenses
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JUCE is distributed in the hope that it will be useful, but WITHOUT ANY
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WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR
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A PARTICULAR PURPOSE. See the GNU General Public License for more details.
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------------------------------------------------------------------------------
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To release a closed-source product which uses JUCE, commercial licenses are
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available: visit www.juce.com for more information.
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==============================================================================
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*/
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#ifndef JUCE_VECTOR3D_H_INCLUDED
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#define JUCE_VECTOR3D_H_INCLUDED
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//==============================================================================
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/**
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A three-coordinate vector.
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*/
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template <typename Type>
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class Vector3D
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{
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public:
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Vector3D() noexcept : x(), y(), z() {}
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Vector3D (Type xValue, Type yValue, Type zValue) noexcept : x (xValue), y (yValue), z (zValue) {}
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Vector3D (const Vector3D& other) noexcept : x (other.x), y (other.y), z (other.z) {}
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Vector3D& operator= (Vector3D other) noexcept { x = other.x; y = other.y; z = other.z; return *this; }
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/** Returns a vector that lies along the X axis. */
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static Vector3D xAxis() noexcept { return Vector3D ((Type) 1, 0, 0); }
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/** Returns a vector that lies along the Y axis. */
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static Vector3D yAxis() noexcept { return Vector3D (0, (Type) 1, 0); }
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/** Returns a vector that lies along the Z axis. */
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static Vector3D zAxis() noexcept { return Vector3D (0, 0, (Type) 1); }
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Vector3D& operator+= (Vector3D other) noexcept { x += other.x; y += other.y; z += other.z; return *this; }
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Vector3D& operator-= (Vector3D other) noexcept { x -= other.x; y -= other.y; z -= other.z; return *this; }
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Vector3D& operator*= (Type scaleFactor) noexcept { x *= scaleFactor; y *= scaleFactor; z *= scaleFactor; return *this; }
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Vector3D& operator/= (Type scaleFactor) noexcept { x /= scaleFactor; y /= scaleFactor; z /= scaleFactor; return *this; }
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Vector3D operator+ (Vector3D other) const noexcept { return Vector3D (x + other.x, y + other.y, z + other.z); }
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Vector3D operator- (Vector3D other) const noexcept { return Vector3D (x - other.x, y - other.y, z - other.z); }
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Vector3D operator* (Type scaleFactor) const noexcept { return Vector3D (x * scaleFactor, y * scaleFactor, z * scaleFactor); }
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Vector3D operator/ (Type scaleFactor) const noexcept { return Vector3D (x / scaleFactor, y / scaleFactor, z / scaleFactor); }
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Vector3D operator-() const noexcept { return Vector3D (-x, -y, -z); }
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/** Returns the dot-product of these two vectors. */
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Type operator* (Vector3D other) const noexcept { return x * other.x + y * other.y + z * other.z; }
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/** Returns the cross-product of these two vectors. */
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Vector3D operator^ (Vector3D other) const noexcept { return Vector3D (y * other.z - z * other.y, z * other.x - x * other.z, x * other.y - y * other.x); }
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Type length() const noexcept { return std::sqrt (lengthSquared()); }
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Type lengthSquared() const noexcept { return x * x + y * y + z * z; }
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Vector3D normalised() const noexcept { return *this / length(); }
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/** Returns true if the vector is practically equal to the origin. */
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bool lengthIsBelowEpsilon() const noexcept
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{
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const Type epsilon (std::numeric_limits<Type>::epsilon());
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return ! (x < -epsilon || x > epsilon || y < -epsilon || y > epsilon || z < -epsilon || z > epsilon);
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}
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Type x, y, z;
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};
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#endif // JUCE_VECTOR3D_H_INCLUDED
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