Defined Frobenius norm operations.

Details:
- Added level-0 grabis macro operation to grab imaginary component of one
  variable and copy it to the real component of another variable.
- Defined sumsqv operation, which computes the sum of the absolute squares
  of the elements of a vector. This implementation is modeled after ?lassq
  in netlib LAPACK.
- Defined fnormv and fnormm operations, which compute the Frobenius norm on
  vectors and matrices, respectively. These operations are treated as one-
  operand operations where the output norm value is the real projection of
  the datatype of the input operand. Both operations are implemented in terms
  of sumsqv.
This commit is contained in:
Field G. Van Zee
2012-12-20 17:07:50 -06:00
parent 66e80ce1ae
commit 806e74beb4
22 changed files with 1516 additions and 2 deletions

View File

@@ -0,0 +1,139 @@
/*
BLIS
An object-based framework for developing high-performance BLAS-like
libraries.
Copyright (C) 2012, The University of Texas
Redistribution and use in source and binary forms, with or without
modification, are permitted provided that the following conditions are
met:
- Redistributions of source code must retain the above copyright
notice, this list of conditions and the following disclaimer.
- Redistributions in binary form must reproduce the above copyright
notice, this list of conditions and the following disclaimer in the
documentation and/or other materials provided with the distribution.
- Neither the name of The University of Texas nor the names of its
contributors may be used to endorse or promote products derived
from this software without specific prior written permission.
THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
"AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*/
#ifndef BLIS_GRABIS_H
#define BLIS_GRABIS_H
// grabis
// Notes:
// - The first char encodes the type of x.
// - The second char encodes the type of y.
#define bl2_ssgrabis( x, y ) \
{ \
(y) = 0.0F; \
}
#define bl2_dsgrabis( x, y ) \
{ \
(y) = 0.0F; \
}
#define bl2_csgrabis( x, y ) \
{ \
(y) = ( float ) (x).imag; \
}
#define bl2_zsgrabis( x, y ) \
{ \
(y) = ( float ) (x).imag; \
}
#define bl2_sdgrabis( x, y ) \
{ \
(y) = 0.0; \
}
#define bl2_ddgrabis( x, y ) \
{ \
(y) = 0.0; \
}
#define bl2_cdgrabis( x, y ) \
{ \
(y) = ( double ) (x).imag; \
}
#define bl2_zdgrabis( x, y ) \
{ \
(y) = ( double ) (x).imag; \
}
#define bl2_scgrabis( x, y ) \
{ \
(y).real = 0.0F; \
(y).imag = 0.0F; \
}
#define bl2_dcgrabis( x, y ) \
{ \
(y).real = 0.0F; \
(y).imag = 0.0F; \
}
#define bl2_ccgrabis( x, y ) \
{ \
(y).real = ( float ) (x).imag; \
(y).imag = 0.0F; \
}
#define bl2_zcgrabis( x, y ) \
{ \
(y).real = ( float ) (x).imag; \
(y).imag = 0.0F; \
}
#define bl2_szgrabis( x, y ) \
{ \
(y).real = 0.0; \
(y).imag = 0.0; \
}
#define bl2_dzgrabis( x, y ) \
{ \
(y).real = 0.0; \
(y).imag = 0.0; \
}
#define bl2_czgrabis( x, y ) \
{ \
(y).real = ( double ) (x).imag; \
(y).imag = 0.0; \
}
#define bl2_zzgrabis( x, y ) \
{ \
(y).real = ( double ) (x).imag; \
(y).imag = 0.0; \
}
#define bl2_sgrabis( x, y ) \
{ \
bl2_ssgrabis( x, y ); \
}
#define bl2_dgrabis( x, y ) \
{ \
bl2_ddgrabis( x, y ); \
}
#define bl2_cgrabis( x, y ) \
{ \
bl2_ccgrabis( x, y ); \
}
#define bl2_zgrabis( x, y ) \
{ \
bl2_zzgrabis( x, y ); \
}
#endif