mirror of
https://gitlab.com/libeigen/eigen.git
synced 2026-04-10 11:34:33 +08:00
3036eeca0a
release of tvmet (inactive for 2 years and developer unreachable) as the basis for eigen2, because it provides seemingly good expression template mechanisms, we want that, and it would take years to reinvent that wheel. We'll see. So this commit imports the last tvmet release.
192 lines
3.7 KiB
C++
192 lines
3.7 KiB
C++
/*
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* Tiny Vector Matrix Library
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* Dense Vector Matrix Libary of Tiny size using Expression Templates
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*
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* Copyright (C) 2001 - 2003 Olaf Petzold <opetzold@users.sourceforge.net>
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*
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* This library is free software; you can redistribute it and/or
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* modify it under the terms of the GNU Lesser General Public
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* License as published by the Free Software Foundation; either
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* version 2.1 of the License, or (at your option) any later version.
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*
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* This library is distributed in the hope that it will be useful,
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* but WITHOUT ANY WARRANTY; without even the implied warranty of
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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* Lesser General Public License for more details.
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*
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* You should have received a copy of the GNU Lesser General Public
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* License along with this library; if not, write to the Free Software
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* Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
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*
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* $Id: frob_matrix_norm.cc,v 1.3 2003/11/30 08:26:25 opetzold Exp $
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*/
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#include <iostream>
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#include <tvmet/Matrix.h>
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#include <tvmet/xpr/Vector.h>
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using namespace std;
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template<class T, std::size_t Rows, std::size_t Cols>
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double
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frob_norm(const tvmet::Matrix<T, Rows, Cols>& M) {
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return std::sqrt(M(0,0)*M(0,0) + M(1,0)*M(1,0) + M(2,0)*M(2,0)
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+ M(0,1)*M(0,1) + M(1,1)*M(1,1) + M(2,1)*M(2,1)
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+ M(0,2)*M(0,2) + M(1,2)*M(1,2) + M(2,2)*M(2,2));
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}
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namespace tvmet {
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template<class T, std::size_t Rows, std::size_t Cols>
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typename NumericTraits<T>::float_type
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norm(const Matrix<T, Rows, Cols>& M) {
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return std::sqrt( sum( diag( MtM_prod(M,M) ) ) );
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}
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}
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int main()
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{
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typedef tvmet::Matrix<double,3,3> matrix_type;
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matrix_type M;
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M = 1,2,3,4,5,6,7,8,9;
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cout << M << endl;
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cout << "handopt norm = " << frob_norm(M) << endl;
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cout << "tvmet::norm = " << tvmet::norm(M) << endl;
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}
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/*
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gcc 3.3 produce for the hand optimized frob_norm:
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_Z9frob_normIdLj3ELj3EEdRKN5tvmet6MatrixIT_XT0_EXT1_EEE:
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.LFB3210:
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pushl %ebp
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.LCFI6:
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movl %esp, %ebp
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.LCFI7:
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subl $8, %esp
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.LCFI8:
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movl 8(%ebp), %eax
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fldl (%eax)
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fldl 24(%eax)
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fxch %st(1)
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fmul %st(0), %st
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fxch %st(1)
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fmul %st(0), %st
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faddp %st, %st(1)
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fldl 48(%eax)
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fmul %st(0), %st
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faddp %st, %st(1)
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fldl 8(%eax)
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fmul %st(0), %st
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faddp %st, %st(1)
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fldl 32(%eax)
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fmul %st(0), %st
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faddp %st, %st(1)
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fldl 56(%eax)
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fmul %st(0), %st
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faddp %st, %st(1)
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fldl 16(%eax)
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fmul %st(0), %st
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faddp %st, %st(1)
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fldl 40(%eax)
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fmul %st(0), %st
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faddp %st, %st(1)
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fldl 64(%eax)
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fmul %st(0), %st
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faddp %st, %st(1)
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fld %st(0)
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fsqrt
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fucom %st(0)
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fnstsw %ax
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sahf
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jp .L189
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jne .L189
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fstp %st(1)
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.L186:
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leave
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ret
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*/
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/*
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gcc 3.3 produce the norm function using tvmet 1.3.0:
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_ZN5tvmet4normIdLj3ELj3EEENS_13NumericTraitsIT_E10float_typeERKNS_6MatrixIS2_XT0_EXT1_EEE:
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.LFB3252:
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.L194:
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.L198:
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.L203:
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.L207:
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.L212:
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.L225:
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.L238:
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.L251:
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pushl %ebp
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.LCFI9:
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movl %esp, %ebp
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.LCFI10:
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subl $56, %esp
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.LCFI11:
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movl 8(%ebp), %edx
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leal -24(%ebp), %eax
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movl %eax, -12(%ebp)
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leal -12(%ebp), %eax
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fldl 24(%edx)
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fldl 48(%edx)
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fldl (%edx)
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fxch %st(2)
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fmul %st(0), %st
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fxch %st(1)
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movl %eax, -28(%ebp)
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fmul %st(0), %st
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fxch %st(2)
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movl %edx, -24(%ebp)
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movl %edx, -20(%ebp)
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fmul %st(0), %st
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fldl 8(%edx)
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fxch %st(2)
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faddp %st, %st(3)
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fldl 56(%edx)
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fxch %st(2)
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fmul %st(0), %st
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fxch %st(1)
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faddp %st, %st(3)
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fldl 32(%edx)
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fxch %st(2)
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fmul %st(0), %st
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fxch %st(2)
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fmul %st(0), %st
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fldl 16(%edx)
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fxch %st(1)
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faddp %st, %st(3)
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fmul %st(0), %st
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fldl 64(%edx)
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fxch %st(2)
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faddp %st, %st(3)
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fldl 40(%edx)
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fxch %st(2)
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fmul %st(0), %st
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fxch %st(2)
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fmul %st(0), %st
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faddp %st, %st(2)
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faddp %st, %st(1)
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faddp %st, %st(1)
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faddp %st, %st(1)
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fld %st(0)
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fsqrt
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fucom %st(0)
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fnstsw %ax
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sahf
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jp .L265
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jne .L265
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fstp %st(1)
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.L261:
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fstpl -8(%ebp)
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fldl -8(%ebp)
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leave
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ret
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*/
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