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RotationMatrix.h File Reference

Implementation of a 3x3 rotation matrix. More...

#include <algorithm>
#include <cmath>
#include <ostream>
#include <limits>
#include <blaze/math/Accuracy.h>
#include <blaze/math/DenseMatrix.h>
#include <blaze/math/Forward.h>
#include <blaze/math/shims/Equal.h>
#include <blaze/math/shims/IsDefault.h>
#include <blaze/math/shims/IsNaN.h>
#include <blaze/math/StaticMatrix.h>
#include <blaze/math/StaticVector.h>
#include <blaze/math/traits/MathTrait.h>
#include <blaze/math/traits/MultTrait.h>
#include <blaze/system/Precision.h>
#include <blaze/util/Assert.h>
#include <blaze/util/constraints/Const.h>
#include <blaze/util/constraints/FloatingPoint.h>
#include <blaze/util/constraints/Volatile.h>
#include <blaze/util/Types.h>

Go to the source code of this file.

Classes

class  blaze::RotationMatrix< typename >
 Efficient, generic implementation of a 3x3 rotation matrix.The RotationMatrix class is the representation of a 3x3 rotation matrix with a total of 9 statically allocated elements of arbitrary type. The naming convention of the elements is as following: More...
 

Namespaces

 blaze
 Namespace of the Blaze C++ math library.
 

Typedefs

typedef RotationMatrix< real > blaze::Rot3
 Rotation matrix of real type.
 

Enumerations

enum  blaze::EulerRotation {
  blaze::XYZs = 0, blaze::ZYXr = 1, blaze::XYXs = 2, blaze::XYXr = 3,
  blaze::XZYs = 4, blaze::YZXr = 5, blaze::XZXs = 6, blaze::XZXr = 7,
  blaze::YZXs = 8, blaze::XZYr = 9, blaze::YZYs = 10, blaze::YZYr = 11,
  blaze::YXZs = 12, blaze::ZXYr = 13, blaze::YXYs = 14, blaze::YXYr = 15,
  blaze::ZXYs = 16, blaze::YXZr = 17, blaze::ZXZs = 18, blaze::ZXZr = 19,
  blaze::ZYXs = 20, blaze::XYZr = 21, blaze::ZYZs = 22, blaze::ZYZr = 23
}
 Order of the Euler rotationThis codes are needed for the EulerAngles function in order to calculate the Euler angles for a specific combination of rotations. More...
 

Functions

RotationMatrix operators
template<typename T1 , typename T2 >
bool blaze::operator== (const RotationMatrix< T1 > &lhs, const RotationMatrix< T2 > &rhs)
 Equality operator for the comparison of two rotation matrices. More...
 
template<typename T1 , typename T2 >
bool blaze::operator!= (const RotationMatrix< T1 > &lhs, const RotationMatrix< T2 > &rhs)
 Inequality operator for the comparison of two rotation matrices. More...
 
template<typename Type >
std::ostream & blaze::operator<< (std::ostream &os, const RotationMatrix< Type > &m)
 Global output operator for 3x3 rotation matrices. More...
 
template<typename Type >
bool blaze::isnan (const RotationMatrix< Type > &m)
 Checks the given rotation matrix for not-a-number elements. More...
 
template<typename Type >
const StaticMatrix< Type, 3UL, 3UL, false > blaze::abs (const RotationMatrix< Type > &m)
 Returns a matrix containing the absolute values of each single element of m. More...
 
template<typename Type >
const StaticMatrix< Type, 3UL, 3UL, false > blaze::fabs (const RotationMatrix< Type > &m)
 Returns a matrix containing the absolute values of each single element of m. More...
 
template<typename Type >
void blaze::reset (RotationMatrix< Type > &m)
 Resetting the given rotation matrix. More...
 
template<typename Type >
void blaze::clear (RotationMatrix< Type > &m)
 Clearing the given rotation matrix. More...
 
template<typename Type >
bool blaze::isDefault (const RotationMatrix< Type > &m)
 Returns whether the given rotation matrix is in default state. More...
 
template<typename Type >
const RotationMatrix< Type > blaze::trans (const RotationMatrix< Type > &m)
 Calculation of the transpose of the rotation matrix. More...
 
template<typename Type >
const RotationMatrix< Type > blaze::inv (const RotationMatrix< Type > &m)
 Inverting the given rotation matrix. More...
 
template<typename Type >
const RotationMatrix< Type > blaze::sq (const RotationMatrix< Type > &m)
 Squaring the given rotation matrix. More...
 
template<typename Type >
void blaze::swap (RotationMatrix< Type > &a, RotationMatrix< Type > &b)
 Swapping the contents of two rotation matrices. More...
 
RotationMatrix arithmetic operators
template<typename T1 , typename T2 >
const StaticVector< typename
MultTrait< T1, T2 >::Type, 3UL, false > 
blaze::operator* (const RotationMatrix< T1 > &lhs, const StaticVector< T2, 3UL, false > &rhs)
 Multiplication operator for the multiplication of a rotation matrix and a vector ( $ \vec{a}=B*\vec{c} $). More...
 
template<typename T1 , typename T2 >
const StaticVector< typename
MultTrait< T1, T2 >::Type, 3UL, true > 
blaze::operator* (const StaticVector< T1, 3UL, true > &lhs, const RotationMatrix< T2 > &rhs)
 Multiplication operator for the multiplication of a vector and a rotation matrix ( $ \vec{a}=\vec{b}^T*B $). More...
 
template<typename T1 , typename T2 >
const StaticMatrix< typename
MultTrait< T1, T2 >::Type, 3UL, 3UL, false > 
blaze::operator* (const RotationMatrix< T1 > &lhs, const StaticMatrix< T2, 3UL, 3UL, false > &rhs)
 Multiplication operator for the multiplication of a rotation matrix and a standard matrix ( $ A=R*B $). More...
 
template<typename T1 , typename T2 >
const StaticMatrix< typename
MultTrait< T1, T2 >::Type, 3UL, 3UL, false > 
blaze::operator* (const StaticMatrix< T1, 3UL, 3UL, false > &lhs, const RotationMatrix< T2 > &rhs)
 Multiplication operator for the multiplication of a standard matrix and a rotation matrix ( $ A=B*R $). More...
 
template<typename T1 , typename T2 >
const RotationMatrix< typename
MultTrait< T1, T2 >::Type > 
blaze::operator* (const RotationMatrix< T1 > &lhs, const RotationMatrix< T2 > &rhs)
 Multiplication operator for the multiplication of two rotation matrices ( $ A=B*C $). More...
 

Detailed Description

Implementation of a 3x3 rotation matrix.

Copyright (C) 2013 Klaus Iglberger - All Rights Reserved

This file is part of the Blaze library. You can redistribute it and/or modify it under the terms of the New (Revised) BSD License. Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met:

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