Eigne Matrix Class Library
Dependents: Eigen_test Odometry_test AttitudeEstimation_usingTicker MPU9250_Quaternion_Binary_Serial ... more
Eigen Matrix Class Library for mbed.
Finally, you can use Eigen on your mbed!!!
src/LU/Determinant.h@0:13a5d365ba16, 2016-10-13 (annotated)
- Committer:
- ykuroda
- Date:
- Thu Oct 13 04:07:23 2016 +0000
- Revision:
- 0:13a5d365ba16
First commint, Eigne Matrix Class Library
Who changed what in which revision?
User | Revision | Line number | New contents of line |
---|---|---|---|
ykuroda | 0:13a5d365ba16 | 1 | // This file is part of Eigen, a lightweight C++ template library |
ykuroda | 0:13a5d365ba16 | 2 | // for linear algebra. |
ykuroda | 0:13a5d365ba16 | 3 | // |
ykuroda | 0:13a5d365ba16 | 4 | // Copyright (C) 2008 Benoit Jacob <jacob.benoit.1@gmail.com> |
ykuroda | 0:13a5d365ba16 | 5 | // |
ykuroda | 0:13a5d365ba16 | 6 | // This Source Code Form is subject to the terms of the Mozilla |
ykuroda | 0:13a5d365ba16 | 7 | // Public License v. 2.0. If a copy of the MPL was not distributed |
ykuroda | 0:13a5d365ba16 | 8 | // with this file, You can obtain one at http://mozilla.org/MPL/2.0/. |
ykuroda | 0:13a5d365ba16 | 9 | |
ykuroda | 0:13a5d365ba16 | 10 | #ifndef EIGEN_DETERMINANT_H |
ykuroda | 0:13a5d365ba16 | 11 | #define EIGEN_DETERMINANT_H |
ykuroda | 0:13a5d365ba16 | 12 | |
ykuroda | 0:13a5d365ba16 | 13 | namespace Eigen { |
ykuroda | 0:13a5d365ba16 | 14 | |
ykuroda | 0:13a5d365ba16 | 15 | namespace internal { |
ykuroda | 0:13a5d365ba16 | 16 | |
ykuroda | 0:13a5d365ba16 | 17 | template<typename Derived> |
ykuroda | 0:13a5d365ba16 | 18 | inline const typename Derived::Scalar bruteforce_det3_helper |
ykuroda | 0:13a5d365ba16 | 19 | (const MatrixBase<Derived>& matrix, int a, int b, int c) |
ykuroda | 0:13a5d365ba16 | 20 | { |
ykuroda | 0:13a5d365ba16 | 21 | return matrix.coeff(0,a) |
ykuroda | 0:13a5d365ba16 | 22 | * (matrix.coeff(1,b) * matrix.coeff(2,c) - matrix.coeff(1,c) * matrix.coeff(2,b)); |
ykuroda | 0:13a5d365ba16 | 23 | } |
ykuroda | 0:13a5d365ba16 | 24 | |
ykuroda | 0:13a5d365ba16 | 25 | template<typename Derived> |
ykuroda | 0:13a5d365ba16 | 26 | const typename Derived::Scalar bruteforce_det4_helper |
ykuroda | 0:13a5d365ba16 | 27 | (const MatrixBase<Derived>& matrix, int j, int k, int m, int n) |
ykuroda | 0:13a5d365ba16 | 28 | { |
ykuroda | 0:13a5d365ba16 | 29 | return (matrix.coeff(j,0) * matrix.coeff(k,1) - matrix.coeff(k,0) * matrix.coeff(j,1)) |
ykuroda | 0:13a5d365ba16 | 30 | * (matrix.coeff(m,2) * matrix.coeff(n,3) - matrix.coeff(n,2) * matrix.coeff(m,3)); |
ykuroda | 0:13a5d365ba16 | 31 | } |
ykuroda | 0:13a5d365ba16 | 32 | |
ykuroda | 0:13a5d365ba16 | 33 | template<typename Derived, |
ykuroda | 0:13a5d365ba16 | 34 | int DeterminantType = Derived::RowsAtCompileTime |
ykuroda | 0:13a5d365ba16 | 35 | > struct determinant_impl |
ykuroda | 0:13a5d365ba16 | 36 | { |
ykuroda | 0:13a5d365ba16 | 37 | static inline typename traits<Derived>::Scalar run(const Derived& m) |
ykuroda | 0:13a5d365ba16 | 38 | { |
ykuroda | 0:13a5d365ba16 | 39 | if(Derived::ColsAtCompileTime==Dynamic && m.rows()==0) |
ykuroda | 0:13a5d365ba16 | 40 | return typename traits<Derived>::Scalar(1); |
ykuroda | 0:13a5d365ba16 | 41 | return m.partialPivLu().determinant(); |
ykuroda | 0:13a5d365ba16 | 42 | } |
ykuroda | 0:13a5d365ba16 | 43 | }; |
ykuroda | 0:13a5d365ba16 | 44 | |
ykuroda | 0:13a5d365ba16 | 45 | template<typename Derived> struct determinant_impl<Derived, 1> |
ykuroda | 0:13a5d365ba16 | 46 | { |
ykuroda | 0:13a5d365ba16 | 47 | static inline typename traits<Derived>::Scalar run(const Derived& m) |
ykuroda | 0:13a5d365ba16 | 48 | { |
ykuroda | 0:13a5d365ba16 | 49 | return m.coeff(0,0); |
ykuroda | 0:13a5d365ba16 | 50 | } |
ykuroda | 0:13a5d365ba16 | 51 | }; |
ykuroda | 0:13a5d365ba16 | 52 | |
ykuroda | 0:13a5d365ba16 | 53 | template<typename Derived> struct determinant_impl<Derived, 2> |
ykuroda | 0:13a5d365ba16 | 54 | { |
ykuroda | 0:13a5d365ba16 | 55 | static inline typename traits<Derived>::Scalar run(const Derived& m) |
ykuroda | 0:13a5d365ba16 | 56 | { |
ykuroda | 0:13a5d365ba16 | 57 | return m.coeff(0,0) * m.coeff(1,1) - m.coeff(1,0) * m.coeff(0,1); |
ykuroda | 0:13a5d365ba16 | 58 | } |
ykuroda | 0:13a5d365ba16 | 59 | }; |
ykuroda | 0:13a5d365ba16 | 60 | |
ykuroda | 0:13a5d365ba16 | 61 | template<typename Derived> struct determinant_impl<Derived, 3> |
ykuroda | 0:13a5d365ba16 | 62 | { |
ykuroda | 0:13a5d365ba16 | 63 | static inline typename traits<Derived>::Scalar run(const Derived& m) |
ykuroda | 0:13a5d365ba16 | 64 | { |
ykuroda | 0:13a5d365ba16 | 65 | return bruteforce_det3_helper(m,0,1,2) |
ykuroda | 0:13a5d365ba16 | 66 | - bruteforce_det3_helper(m,1,0,2) |
ykuroda | 0:13a5d365ba16 | 67 | + bruteforce_det3_helper(m,2,0,1); |
ykuroda | 0:13a5d365ba16 | 68 | } |
ykuroda | 0:13a5d365ba16 | 69 | }; |
ykuroda | 0:13a5d365ba16 | 70 | |
ykuroda | 0:13a5d365ba16 | 71 | template<typename Derived> struct determinant_impl<Derived, 4> |
ykuroda | 0:13a5d365ba16 | 72 | { |
ykuroda | 0:13a5d365ba16 | 73 | static typename traits<Derived>::Scalar run(const Derived& m) |
ykuroda | 0:13a5d365ba16 | 74 | { |
ykuroda | 0:13a5d365ba16 | 75 | // trick by Martin Costabel to compute 4x4 det with only 30 muls |
ykuroda | 0:13a5d365ba16 | 76 | return bruteforce_det4_helper(m,0,1,2,3) |
ykuroda | 0:13a5d365ba16 | 77 | - bruteforce_det4_helper(m,0,2,1,3) |
ykuroda | 0:13a5d365ba16 | 78 | + bruteforce_det4_helper(m,0,3,1,2) |
ykuroda | 0:13a5d365ba16 | 79 | + bruteforce_det4_helper(m,1,2,0,3) |
ykuroda | 0:13a5d365ba16 | 80 | - bruteforce_det4_helper(m,1,3,0,2) |
ykuroda | 0:13a5d365ba16 | 81 | + bruteforce_det4_helper(m,2,3,0,1); |
ykuroda | 0:13a5d365ba16 | 82 | } |
ykuroda | 0:13a5d365ba16 | 83 | }; |
ykuroda | 0:13a5d365ba16 | 84 | |
ykuroda | 0:13a5d365ba16 | 85 | } // end namespace internal |
ykuroda | 0:13a5d365ba16 | 86 | |
ykuroda | 0:13a5d365ba16 | 87 | /** \lu_module |
ykuroda | 0:13a5d365ba16 | 88 | * |
ykuroda | 0:13a5d365ba16 | 89 | * \returns the determinant of this matrix |
ykuroda | 0:13a5d365ba16 | 90 | */ |
ykuroda | 0:13a5d365ba16 | 91 | template<typename Derived> |
ykuroda | 0:13a5d365ba16 | 92 | inline typename internal::traits<Derived>::Scalar MatrixBase<Derived>::determinant() const |
ykuroda | 0:13a5d365ba16 | 93 | { |
ykuroda | 0:13a5d365ba16 | 94 | eigen_assert(rows() == cols()); |
ykuroda | 0:13a5d365ba16 | 95 | typedef typename internal::nested<Derived,Base::RowsAtCompileTime>::type Nested; |
ykuroda | 0:13a5d365ba16 | 96 | return internal::determinant_impl<typename internal::remove_all<Nested>::type>::run(derived()); |
ykuroda | 0:13a5d365ba16 | 97 | } |
ykuroda | 0:13a5d365ba16 | 98 | |
ykuroda | 0:13a5d365ba16 | 99 | } // end namespace Eigen |
ykuroda | 0:13a5d365ba16 | 100 | |
ykuroda | 0:13a5d365ba16 | 101 | #endif // EIGEN_DETERMINANT_H |