projects / ceph.git / blame
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|---|---|---|
| 92f5a8d4 TL |
1 | //Copyright (c) 2008-2016 Emil Dotchevski and Reverge Studios, Inc. |
| 2 | ||
| 3 | //Distributed under the Boost Software License, Version 1.0. (See accompanying | |
| 4 | //file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) | |
| 5 | ||
| 6 | #ifndef UUID_3DCF6B90AE0E11DE9A315BE555D89593 | |
| 7 | #define UUID_3DCF6B90AE0E11DE9A315BE555D89593 | |
| 8 | ||
| 9 | #include <boost/qvm/inline.hpp> | |
| 10 | #include <boost/qvm/mat_traits_array.hpp> | |
| 11 | #include <boost/qvm/static_assert.hpp> | |
| 12 | ||
| 13 | namespace | |
| 14 | boost | |
| 15 | { | |
| 16 | namespace | |
| 17 | qvm | |
| 18 | { | |
| 19 | namespace | |
| 20 | qvm_detail | |
| 21 | { | |
| 22 | template <int N> | |
| 23 | struct | |
| 24 | det_size | |
| 25 | { | |
| 26 | }; | |
| 27 | ||
| 28 | template <class M> | |
| 29 | BOOST_QVM_INLINE_TRIVIAL | |
| 30 | typename mat_traits<M>::scalar_type | |
| 31 | determinant_impl_( M const & a, det_size<2> ) | |
| 32 | { | |
| 33 | return | |
| 34 | mat_traits<M>::template read_element<0,0>(a) * mat_traits<M>::template read_element<1,1>(a) - | |
| 35 | mat_traits<M>::template read_element<1,0>(a) * mat_traits<M>::template read_element<0,1>(a); | |
| 36 | } | |
| 37 | ||
| 38 | template <class M,int N> | |
| 39 | BOOST_QVM_INLINE_RECURSION | |
| 40 | typename mat_traits<M>::scalar_type | |
| 41 | determinant_impl_( M const & a, det_size<N> ) | |
| 42 | { | |
| 43 | typedef typename mat_traits<M>::scalar_type T; | |
| 44 | T m[N-1][N-1]; | |
| 45 | T det=T(0); | |
| 46 | for( int j1=0; j1!=N; ++j1 ) | |
| 47 | { | |
| 48 | for( int i=1; i!=N; ++i ) | |
| 49 | { | |
| 50 | int j2 = 0; | |
| 51 | for( int j=0; j!=N; ++j ) | |
| 52 | { | |
| 53 | if( j==j1 ) | |
| 54 | continue; | |
| 55 | m[i-1][j2] = mat_traits<M>::read_element_idx(i,j,a); | |
| 56 | ++j2; | |
| 57 | } | |
| 58 | } | |
| 59 | T d=determinant_impl_(m,det_size<N-1>()); | |
| 60 | if( j1&1 ) | |
| 61 | d=-d; | |
| 62 | det += mat_traits<M>::read_element_idx(0,j1,a) * d; | |
| 63 | } | |
| 64 | return det; | |
| 65 | } | |
| 66 | ||
| 67 | template <class M> | |
| 68 | BOOST_QVM_INLINE_TRIVIAL | |
| 69 | typename mat_traits<M>::scalar_type | |
| 70 | determinant_impl( M const & a ) | |
| 71 | { | |
| 72 | BOOST_QVM_STATIC_ASSERT(mat_traits<M>::rows==mat_traits<M>::cols); | |
| 73 | return determinant_impl_(a,det_size<mat_traits<M>::rows>()); | |
| 74 | } | |
| 75 | } | |
| 76 | } | |
| 77 | } | |
| 78 | ||
| 79 | #endif |