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| constexpr | Vector3 (const Vector3< T > &v)=default | 
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| constexpr Vector3< T > & | operator= (const Vector3< T > &in)=default | 
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| constexpr | Vector3 (const T &x, const T &y, const T &z=0) | 
|  | Explicit constructor, by the three components of the vector. 
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| constexpr | Vector3 (const T &t) | 
|  | Explicit constructor, all three components are inintialized to t. 
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| constexpr const T & | x () const | 
|  | The x-component of the vector. 
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| constexpr const T & | y () const | 
|  | The y-component of the vector. 
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| constexpr const T & | z () const | 
|  | The z-component of the vector. 
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| constexpr const T & | dof (unsigned u) const | 
|  | The degree-of-freedom u (0-2) component. 
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| T & | rx () | 
|  | Reference access to the x-component of the vector. 
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| T & | ry () | 
|  | Reference access to the y-component of the vector. 
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| T & | rz () | 
|  | Reference access to the z-component of the vector. 
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| T & | rdof (unsigned u) | 
|  | Reference access to degree-of-freedom u (0-2) of the vector. 
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| template<std::size_t N> | 
| constexpr T | get () const | 
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| constexpr T | fsum () const | 
|  | Manhattan norm. 
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| constexpr T | sum () const | 
|  | Sum of components. 
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| constexpr T | mag2 () const | 
|  | Square of the magnitude, or the vector dotted with itself. 
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| constexpr T | mag () const | 
|  | The vector magnitude. 
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| constexpr T | volume () const | 
|  | Volume of region represented by x*y*z - can be negative. 
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| Vector3< T > | unit () const | 
|  | Unit vector - be sure vector is nonzero. 
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| constexpr Vector3< T > | abs () const | 
|  | Returns vector of absolute values of components. 
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| void | fill (const T &d) | 
|  | Fills all three components with value d. 
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| constexpr T | maxComp () const | 
|  | Returns the maximum component. 
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| constexpr T | minComp () const | 
|  | Returns the minimum component. 
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| constexpr unsigned | maxCompIndex () const | 
|  | Returns the max component index. 
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| constexpr unsigned | minCompIndex () const | 
|  | Returns the min component index. 
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| constexpr bool | operator== (const Vector3< T > &v) const | 
|  | Comparison operator - no tolerance is used. 
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| constexpr bool | operator!= (const Vector3< T > &v) const | 
|  | Comparison operator - no tolerance is used. 
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| constexpr bool | operator< (const Vector3< T > &v) const | 
|  | Comparison operator, compare each DOF in order. 
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| constexpr bool | operator> (const Vector3< T > &v) const | 
|  | Comparison operator, compare each DOF in order. 
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| constexpr const Vector3< T > & | operator+= (const Vector3< T > &v) | 
|  | In-place mathematical operators – * and / are done on a component basis. 
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| constexpr const Vector3< T > & | operator-= (const Vector3< T > &v) | 
|  | In-place mathematical operators – * and / are done on a component basis. 
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| constexpr const Vector3< T > & | operator*= (const Vector3< T > &v) | 
|  | In-place mathematical operators – * and / are done on a component basis. 
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| constexpr const Vector3< T > & | operator*= (const T &t) | 
|  | In-place mathematical operators – * and / are done on a component basis. 
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| constexpr const Vector3< T > & | operator/= (const Vector3< T > &v) | 
|  | In-place mathematical operators – * and / are done on a component basis. 
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| constexpr const Vector3< T > & | operator/= (const T &t) | 
|  | In-place mathematical operators – * and / are done on a component basis. 
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| constexpr Vector3< T > | operator+ (const Vector3< T > &v) const | 
|  | Binary mathematical operators – * and / are done on a component basis. 
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| constexpr Vector3< T > | operator- (const Vector3< T > &v) const | 
|  | Binary mathematical operators – * and / are done on a component basis. 
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| constexpr Vector3< T > | operator* (const Vector3< T > &v) const | 
|  | Binary mathematical operators – * and / are done on a component basis. 
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| constexpr Vector3< T > | operator* (const T &t) const | 
|  | Binary mathematical operators – * and / are done on a component basis. 
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| constexpr Vector3< T > | operator/ (const Vector3< T > &v) const | 
|  | Binary mathematical operators – * and / are done on a component basis. 
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| constexpr Vector3< T > | operator/ (const T &t) const | 
|  | Binary mathematical operators – * and / are done on a component basis. 
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| constexpr Vector3< T > | operator& (const Vector3< T > &v) const | 
|  | Cross Product. 
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| constexpr T | operator| (const Vector3< T > &v) const | 
|  | Dot Product. 
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template<class T>
class Vector3< T >
3D vector utility class.