Files
blis/frame/include/bli_param_macro_defs.h
Field G. Van Zee 29b0e1ef4e Code review + tweaks to AMD's AOCL 2.0 PR (#349).
Details:
- NOTE: This is a merge commit of 'master' of git://github.com/amd/blis
  into 'amd-master' of flame/blis.
- Fixed a bug in the downstream value of BLIS_NUM_ARCHS, which was
  inadvertantly not incremented when the Zen2 subconfiguration was
  added.
- In bli_gemm_front(), added a missing conditional constraint around the
  call to bli_gemm_small() that ensures that the computation precision
  of C matches the storage precision of C.
- In bli_syrk_front(), reorganized and relocated the notrans/trans logic
  that existed around the call to bli_syrk_small() into bli_syrk_small()
  to minimize the calling code footprint and also to bring that code
  into stylistic harmony with similar code in bli_gemm_front() and
  bli_trsm_front(). Also, replaced direct accessing of obj_t fields with
  proper accessor static functions (e.g. 'a->dim[0]' becomes
  'bli_obj_length( a )').
- Added #ifdef BLIS_ENABLE_SMALL_MATRIX guard around prototypes for
  bli_gemm_small(), bli_syrk_small(), and bli_trsm_small(). This is
  strictly speaking unnecessary, but it serves as a useful visual cue to
  those who may be reading the files.
- Removed cpp macro-protected small matrix debugging code from
  bli_trsm_front.c.
- Added a GCC_OT_9_1_0 variable to build/config.mk.in to facilitate gcc
  version check for availability of -march=znver2, and added appropriate
  support to configure script.
- Cleanups to compiler flags common to recent AMD microarchitectures in
  config/zen/amd_config.mk, including: removal of -march=znver1 et al.
  from CKVECFLAGS (since the -march flag is added within make_defs.mk);
  setting CRVECFLAGS similarly to CKVECFLAGS.
- Cleanups to config/zen/bli_cntx_init_zen.c.
- Cleanups, added comments to config/zen/make_defs.mk.
- Cleanups to config/zen2/make_defs.mk, including making use of newly-
  added GCC_OT_9_1_0 and existing GCC_OT_6_1_0 to choose the correct
  set of compiler flags based on the version of gcc being used.
- Reverted downstream changes to test/test_gemm.c.
- Various whitespace/comment changes.
2019-10-11 10:24:24 -05:00

1448 lines
34 KiB
C

/*
BLIS
An object-based framework for developing high-performance BLAS-like
libraries.
Copyright (C) 2014, The University of Texas at Austin
Copyright (C) 2018 - 2019, Advanced Micro Devices, Inc.
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(s) of the copyright holder(s) 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_PARAM_MACRO_DEFS_H
#define BLIS_PARAM_MACRO_DEFS_H
// -- Parameter query macros --
// buffer
static bool_t bli_is_aligned_to( siz_t p, siz_t size )
{
return ( bool_t )
( p % size == 0 );
}
static bool_t bli_is_unaligned_to( siz_t p, siz_t size )
{
return ( bool_t )
( p % size != 0 );
}
static siz_t bli_offset_past_alignment( siz_t p, siz_t size )
{
return ( siz_t )
( p % size );
}
// datatype
static bool_t bli_is_float( num_t dt )
{
return ( bool_t )
( dt == BLIS_FLOAT );
}
static bool_t bli_is_double( num_t dt )
{
return ( bool_t )
( dt == BLIS_DOUBLE );
}
static bool_t bli_is_scomplex( num_t dt )
{
return ( bool_t )
( dt == BLIS_SCOMPLEX );
}
static bool_t bli_is_dcomplex( num_t dt )
{
return ( bool_t )
( dt == BLIS_DCOMPLEX );
}
static bool_t bli_is_constant( num_t dt )
{
return ( bool_t )
( dt == BLIS_CONSTANT );
}
static bool_t bli_is_int( num_t dt )
{
return ( bool_t )
( dt == BLIS_INT );
}
static bool_t bli_is_real( num_t dt )
{
return ( bool_t )
( bli_is_float( dt ) ||
bli_is_double( dt ) );
}
static bool_t bli_is_complex( num_t dt )
{
return ( bool_t )
( bli_is_scomplex( dt ) ||
bli_is_dcomplex( dt ) );
}
static bool_t bli_is_single_prec( num_t dt )
{
return ( bool_t )
( bli_is_float( dt ) ||
bli_is_scomplex( dt ) );
}
static bool_t bli_is_double_prec( num_t dt )
{
return ( bool_t )
( bli_is_double( dt ) ||
bli_is_dcomplex( dt ) );
}
static dom_t bli_dt_domain( num_t dt )
{
return ( dom_t )
( dt & BLIS_DOMAIN_BIT );
}
static bool_t bli_dt_dom_is_real( num_t dt )
{
return ( bool_t )
( ( dt & BLIS_DOMAIN_BIT ) == BLIS_REAL );
}
static bool_t bli_dt_dom_is_complex( num_t dt )
{
return ( bool_t )
( ( dt & BLIS_DOMAIN_BIT ) == BLIS_COMPLEX );
}
static prec_t bli_dt_prec( num_t dt )
{
return ( prec_t )
( dt & BLIS_PRECISION_BIT );
}
static bool_t bli_dt_prec_is_single( num_t dt )
{
return ( bool_t )
( ( dt & BLIS_PRECISION_BIT ) == BLIS_SINGLE_PREC );
}
static bool_t bli_dt_prec_is_double( num_t dt )
{
return ( bool_t )
( ( dt & BLIS_PRECISION_BIT ) == BLIS_DOUBLE_PREC );
}
static num_t bli_dt_proj_to_real( num_t dt )
{
return ( num_t )
( dt & ~BLIS_BITVAL_COMPLEX );
}
static num_t bli_dt_proj_to_complex( num_t dt )
{
return ( num_t )
( dt | BLIS_BITVAL_COMPLEX );
}
static num_t bli_dt_proj_to_single_prec( num_t dt )
{
return ( num_t )
( dt & ~BLIS_BITVAL_DOUBLE_PREC );
}
static num_t bli_dt_proj_to_double_prec( num_t dt )
{
return ( num_t )
( dt | BLIS_BITVAL_DOUBLE_PREC );
}
// trans
static bool_t bli_is_notrans( trans_t trans )
{
return ( bool_t )
( trans == BLIS_NO_TRANSPOSE );
}
static bool_t bli_is_trans( trans_t trans )
{
return ( bool_t )
( trans == BLIS_TRANSPOSE );
}
static bool_t bli_is_conjnotrans( trans_t trans )
{
return ( bool_t )
( trans == BLIS_CONJ_NO_TRANSPOSE );
}
static bool_t bli_is_conjtrans( trans_t trans )
{
return ( bool_t )
( trans == BLIS_CONJ_TRANSPOSE );
}
static bool_t bli_does_notrans( trans_t trans )
{
return ( bool_t )
( (~trans & BLIS_TRANS_BIT ) == BLIS_BITVAL_TRANS );
}
static bool_t bli_does_trans( trans_t trans )
{
return ( bool_t )
( ( trans & BLIS_TRANS_BIT ) == BLIS_BITVAL_TRANS );
}
static bool_t bli_does_noconj( trans_t trans )
{
return ( bool_t )
( (~trans & BLIS_CONJ_BIT ) == BLIS_BITVAL_CONJ );
}
static bool_t bli_does_conj( trans_t trans )
{
return ( bool_t )
( ( trans & BLIS_CONJ_BIT ) == BLIS_BITVAL_CONJ );
}
static trans_t bli_extract_trans( trans_t trans )
{
return ( trans_t )
( trans & BLIS_TRANS_BIT );
}
static conj_t bli_extract_conj( trans_t trans )
{
return ( conj_t )
( trans & BLIS_CONJ_BIT );
}
static trans_t bli_trans_toggled( trans_t trans )
{
return ( trans_t )
( trans ^ BLIS_TRANS_BIT );
}
static trans_t bli_trans_toggled_conj( trans_t trans )
{
return ( trans_t )
( trans ^ BLIS_CONJ_BIT );
}
static void bli_toggle_trans( trans_t* trans )
{
*trans = bli_trans_toggled( *trans );
}
// side
static bool_t bli_is_left( side_t side )
{
return ( bool_t )
( side == BLIS_LEFT );
}
static bool_t bli_is_right( side_t side )
{
return ( bool_t )
( side == BLIS_RIGHT );
}
static side_t bli_side_toggled( side_t side )
{
return ( bli_is_left( side ) ? BLIS_RIGHT : BLIS_LEFT );
}
static void bli_toggle_side( side_t* side )
{
*side = bli_side_toggled( *side );
}
// uplo
static bool_t bli_is_lower( uplo_t uplo )
{
return ( bool_t )
( uplo == BLIS_LOWER );
}
static bool_t bli_is_upper( uplo_t uplo )
{
return ( bool_t )
( uplo == BLIS_UPPER );
}
static bool_t bli_is_upper_or_lower( uplo_t uplo )
{
return ( bool_t )
( bli_is_upper( uplo ) ||
bli_is_lower( uplo ) );
}
static bool_t bli_is_dense( uplo_t uplo )
{
return ( bool_t )
( uplo == BLIS_DENSE );
}
static bool_t bli_is_zeros( uplo_t uplo )
{
return ( bool_t )
( uplo == BLIS_ZEROS );
}
static uplo_t bli_uplo_toggled( uplo_t uplo )
{
return ( uplo_t )
( bli_is_upper_or_lower( uplo ) ?
( ( uplo ^ BLIS_LOWER_BIT ) ^ BLIS_UPPER_BIT ) : uplo
);
}
static void bli_toggle_uplo( uplo_t* uplo )
{
*uplo = bli_uplo_toggled( *uplo );
}
// structure
static bool_t bli_is_general( struc_t struc )
{
return ( bool_t )
( struc == BLIS_GENERAL );
}
static bool_t bli_is_hermitian( struc_t struc )
{
return ( bool_t )
( struc == BLIS_HERMITIAN );
}
static bool_t bli_is_symmetric( struc_t struc )
{
return ( bool_t )
( struc == BLIS_SYMMETRIC );
}
static bool_t bli_is_triangular( struc_t struc )
{
return ( bool_t )
( struc == BLIS_TRIANGULAR );
}
static bool_t bli_is_herm_or_symm( struc_t struc )
{
return ( bool_t )
( bli_is_hermitian( struc ) ||
bli_is_symmetric( struc ) );
}
// conj
static bool_t bli_is_noconj( conj_t conj )
{
return ( bool_t )
( conj == BLIS_NO_CONJUGATE );
}
static bool_t bli_is_conj( conj_t conj )
{
return ( bool_t )
( conj == BLIS_CONJUGATE );
}
static conj_t bli_conj_toggled( conj_t conj )
{
return ( conj_t )
( conj ^ BLIS_CONJ_BIT );
}
static conj_t bli_apply_conj( conj_t conjapp, conj_t conj )
{
return ( conj_t )
( conj ^ conjapp );
}
static void bli_toggle_conj( conj_t* conj )
{
*conj = bli_conj_toggled( *conj );
}
// diag
static bool_t bli_is_nonunit_diag( diag_t diag )
{
return ( bool_t )
( diag == BLIS_NONUNIT_DIAG );
}
static bool_t bli_is_unit_diag( diag_t diag )
{
return ( bool_t )
( diag == BLIS_UNIT_DIAG );
}
// dimension-related
static bool_t bli_zero_dim1( dim_t m )
{
return ( bool_t )
( m == 0 );
}
static bool_t bli_zero_dim2( dim_t m, dim_t n )
{
return ( bool_t )
( m == 0 || n == 0 );
}
static bool_t bli_zero_dim3( dim_t m, dim_t n, dim_t k )
{
return ( bool_t )
( m == 0 || n == 0 || k == 0 );
}
static bool_t bli_nonzero_dim( dim_t m )
{
return ( bool_t )
( m > 0 );
}
static bool_t bli_vector_dim( dim_t m, dim_t n )
{
return ( bool_t )
( m == 1 ? n : m );
}
static bool_t bli_is_vector( dim_t m, dim_t n )
{
return ( bool_t )
( m == 1 || n == 1 );
}
static bool_t bli_is_row_vector( dim_t m, dim_t n )
{
return ( bool_t )
( m == 1 );
}
static bool_t bli_is_col_vector( dim_t m, dim_t n )
{
return ( bool_t )
( n == 1 );
}
static void bli_set_dim_with_side( side_t side, dim_t m, dim_t n, dim_t* dim )
{
if ( bli_is_left( side ) ) *dim = m;
else *dim = n;
}
static void bli_set_dims_with_trans( trans_t trans, dim_t m, dim_t n, dim_t* mt, dim_t* nt )
{
if ( bli_does_notrans( trans ) ) { *mt = m; *nt = n; }
else { *mt = n; *nt = m; }
}
static void bli_set_dims_incs_with_trans( trans_t trans,
dim_t m, dim_t n, inc_t rs, inc_t cs,
dim_t* mt, dim_t* nt, inc_t* rst, inc_t* cst )
{
if ( bli_does_notrans( trans ) ) { *mt = m; *nt = n; *rst = rs; *cst = cs; }
else { *mt = n; *nt = m; *rst = cs; *cst = rs; }
}
// blocksize-related
static dim_t bli_determine_blocksize_dim_f( dim_t i, dim_t dim, dim_t b_alg )
{
return ( dim_t )
( bli_min( b_alg, dim - i ) );
}
static dim_t bli_determine_blocksize_dim_b( dim_t i, dim_t dim, dim_t b_alg )
{
return ( dim_t )
( i == 0 && dim % b_alg != 0 ? dim % b_alg
: b_alg );
}
// stride-related
static inc_t bli_vector_inc( trans_t trans, dim_t m, dim_t n, inc_t rs, inc_t cs )
{
return ( inc_t )
( bli_does_notrans( trans ) ? ( m == 1 ? cs : rs )
: ( m == 1 ? rs : cs ) );
}
static bool_t bli_is_row_stored( inc_t rs, inc_t cs )
{
return ( bool_t )
( bli_abs( cs ) == 1 );
}
static bool_t bli_is_col_stored( inc_t rs, inc_t cs )
{
return ( bool_t )
( bli_abs( rs ) == 1 );
}
static bool_t bli_is_row_stored_f( dim_t m, dim_t n, inc_t rs, inc_t cs )
{
return ( bool_t )
( cs == 1 && ( rs > 1 || n == 1 ) );
}
static bool_t bli_is_col_stored_f( dim_t m, dim_t n, inc_t rs, inc_t cs )
{
return ( bool_t )
( rs == 1 && ( cs > 1 || m == 1 ) );
}
static bool_t bli_is_gen_stored( inc_t rs, inc_t cs )
{
return ( bool_t )
( bli_abs( rs ) != 1 &&
bli_abs( cs ) != 1 );
}
static bool_t bli_is_row_tilted( dim_t m, dim_t n, inc_t rs, inc_t cs )
{
return ( bool_t )
( bli_abs( cs ) == bli_abs( rs )
? n < m
: bli_abs( cs ) < bli_abs( rs ) );
}
static bool_t bli_is_col_tilted( dim_t m, dim_t n, inc_t rs, inc_t cs )
{
return ( bool_t )
( bli_abs( rs ) == bli_abs( cs )
? m < n
: bli_abs( rs ) < bli_abs( cs ) );
}
static bool_t bli_has_nonunit_inc1( inc_t s1 )
{
return ( bool_t )
( s1 != 1 );
}
static bool_t bli_has_nonunit_inc2( inc_t s1, inc_t s2 )
{
return ( bool_t )
( s1 != 1 || s2 != 1 );
}
static bool_t bli_has_nonunit_inc3( inc_t s1, inc_t s2, inc_t s3 )
{
return ( bool_t )
( s1 != 1 || s2 != 1 || s3 != 1 );
}
// diag offset-related
static void bli_negate_diag_offset( doff_t* diagoff )
{
*diagoff = -(*diagoff);
}
static void bli_shift_diag_offset_to_grow_uplo( uplo_t uplo, doff_t* diagoff )
{
if ( bli_is_upper( uplo ) ) *diagoff -= 1;
else if ( bli_is_lower( uplo ) ) *diagoff += 1;
}
static void bli_shift_diag_offset_to_shrink_uplo( uplo_t uplo, doff_t* diagoff )
{
if ( bli_is_upper( uplo ) ) *diagoff += 1;
else if ( bli_is_lower( uplo ) ) *diagoff -= 1;
}
static bool_t bli_diag_offset_with_trans( trans_t trans, doff_t diagoff )
{
return ( bool_t )
( bli_does_trans( trans ) ? -diagoff : diagoff );
}
static bool_t bli_is_strictly_above_diag( doff_t diagoff, trans_t trans, dim_t m, dim_t n )
{
return ( bool_t )
( bli_does_trans( trans )
? ( ( doff_t )n <= -diagoff )
: ( ( doff_t )m <= -diagoff ) );
}
static bool_t bli_is_strictly_below_diag( doff_t diagoff, trans_t trans, dim_t m, dim_t n )
{
return ( bool_t )
( bli_does_trans( trans )
? ( ( doff_t )m <= diagoff )
: ( ( doff_t )n <= diagoff ) );
}
static bool_t bli_is_outside_diag( doff_t diagoff, trans_t trans, dim_t m, dim_t n )
{
return ( bool_t )
( bli_is_strictly_above_diag( diagoff, trans, m, n ) ||
bli_is_strictly_below_diag( diagoff, trans, m, n ) );
}
static bool_t bli_is_stored_subpart( doff_t diagoff, trans_t trans, uplo_t uplo, dim_t m, dim_t n )
{
return ( bool_t )
( ( bli_is_upper( uplo ) && bli_is_strictly_above_diag( diagoff, trans, m, n ) ) ||
( bli_is_lower( uplo ) && bli_is_strictly_below_diag( diagoff, trans, m, n ) ) );
}
static bool_t bli_is_unstored_subpart( doff_t diagoff, trans_t trans, uplo_t uplo, dim_t m, dim_t n )
{
return ( bool_t )
( ( bli_is_upper( uplo ) && bli_is_strictly_below_diag( diagoff, trans, m, n ) ) ||
( bli_is_lower( uplo ) && bli_is_strictly_above_diag( diagoff, trans, m, n ) ) );
}
static bool_t bli_is_strictly_above_diag_n( doff_t diagoff, dim_t m, dim_t n )
{
return ( bool_t )
( ( doff_t )m <= -diagoff );
}
static bool_t bli_is_strictly_below_diag_n( doff_t diagoff, dim_t m, dim_t n )
{
return ( bool_t )
( ( doff_t )n <= diagoff );
}
static bool_t bli_intersects_diag_n( doff_t diagoff, dim_t m, dim_t n )
{
return ( bool_t )
( !bli_is_strictly_above_diag_n( diagoff, m, n ) &&
!bli_is_strictly_below_diag_n( diagoff, m, n ) );
}
static bool_t bli_is_outside_diag_n( doff_t diagoff, dim_t m, dim_t n )
{
return ( bool_t )
( bli_is_strictly_above_diag_n( diagoff, m, n ) ||
bli_is_strictly_below_diag_n( diagoff, m, n ) );
}
static bool_t bli_is_stored_subpart_n( doff_t diagoff, uplo_t uplo, dim_t m, dim_t n )
{
return ( bool_t )
( ( bli_is_upper( uplo ) && bli_is_strictly_above_diag_n( diagoff, m, n ) ) ||
( bli_is_lower( uplo ) && bli_is_strictly_below_diag_n( diagoff, m, n ) ) );
}
static bool_t bli_is_unstored_subpart_n( doff_t diagoff, uplo_t uplo, dim_t m, dim_t n )
{
return ( bool_t )
( ( bli_is_upper( uplo ) && bli_is_strictly_below_diag_n( diagoff, m, n ) ) ||
( bli_is_lower( uplo ) && bli_is_strictly_above_diag_n( diagoff, m, n ) ) );
}
// pruning-related
static void bli_prune_unstored_region_top_l( doff_t* diagoff, dim_t* m, dim_t* n, dim_t* offm_inc )
{
*offm_inc = 0;
// If the diagonal intersects the left side of the matrix,
// ignore the area above that intersection.
if ( *diagoff < 0 )
{
*m = *m + *diagoff;
*offm_inc = - *diagoff;
*diagoff = 0;
}
}
static void bli_prune_unstored_region_right_l( doff_t* diagoff, dim_t* m, dim_t* n, dim_t* offn_inc )
{
*offn_inc = 0;
// If the diagonal intersects the bottom side of the matrix,
// ignore the area to the right of that intersection.
if ( *n > *diagoff + *m )
{
*n = *diagoff + *m;
}
}
static void bli_prune_unstored_region_left_u( doff_t* diagoff, dim_t* m, dim_t* n, dim_t* offn_inc )
{
*offn_inc = 0;
// If the diagonal intersects the top side of the matrix,
// ignore the area to the left of that intersection.
if ( *diagoff > 0 )
{
*n = *n - *diagoff;
*offn_inc = + *diagoff;
*diagoff = 0;
}
}
static void bli_prune_unstored_region_bottom_u( doff_t* diagoff, dim_t* m, dim_t* n, dim_t* offm_inc )
{
*offm_inc = 0;
// If the diagonal intersects the right side of the matrix,
// ignore the area below that intersection.
if ( *m > -(*diagoff) + *n )
{
*m = -(*diagoff) + *n;
}
}
// thread range-related
static void bli_rotate180_trapezoid( doff_t* diagoff, uplo_t* uplo, dim_t* m, dim_t* n )
{
*diagoff = *n - *diagoff - *m;
bli_toggle_uplo( uplo );
}
static void bli_reflect_about_diag( doff_t* diagoff, uplo_t* uplo, dim_t* m, dim_t* n )
{
bli_swap_dims( m, n );
bli_negate_diag_offset( diagoff );
bli_toggle_uplo( uplo );
}
static void bli_reverse_index_direction( dim_t n, dim_t* start, dim_t* end )
{
dim_t start2 = n - *start;
dim_t end2 = n - *end;
*start = end2;
*end = start2;
}
// mdim_t-related
static bool_t bli_is_m_dim( mdim_t mdim )
{
return ( bool_t )
( mdim == BLIS_M );
}
static bool_t bli_is_n_dim( mdim_t mdim )
{
return ( bool_t )
( mdim == BLIS_N );
}
static mdim_t bli_dim_toggled( mdim_t mdim )
{
return ( mdim == BLIS_M ? BLIS_N : BLIS_M );
}
static void bli_toggle_dim( mdim_t* mdim )
{
*mdim = bli_dim_toggled( *mdim );
}
// stor3_t-related
static stor3_t bli_stor3_from_strides( inc_t rs_c, inc_t cs_c,
inc_t rs_a, inc_t cs_a,
inc_t rs_b, inc_t cs_b )
{
// If any matrix is general-stored, return the stor3_t id for the
// general-purpose sup microkernel.
if ( bli_is_gen_stored( rs_c, cs_c ) ||
bli_is_gen_stored( rs_a, cs_a ) ||
bli_is_gen_stored( rs_b, cs_b ) ) return BLIS_XXX;
// Otherwise, compute and return the stor3_t id as follows.
const bool_t c_is_col = bli_is_col_stored( rs_c, cs_c );
const bool_t a_is_col = bli_is_col_stored( rs_a, cs_a );
const bool_t b_is_col = bli_is_col_stored( rs_b, cs_b );
return ( stor3_t )( 4 * c_is_col +
2 * a_is_col +
1 * b_is_col );
}
static stor3_t bli_stor3_trans( stor3_t id )
{
#if 1
stor3_t map[ BLIS_NUM_3OP_RC_COMBOS ]
=
{
( stor3_t )7, // BLIS_RRR = 0 -> BLIS_CCC = 7
( stor3_t )5, // BLIS_RRC = 1 -> BLIS_CRC = 5
( stor3_t )6, // BLIS_RCR = 2 -> BLIS_CCR = 6
( stor3_t )4, // BLIS_RCC = 3 -> BLIS_CRR = 4
( stor3_t )3, // BLIS_CRR = 4 -> BLIS_RCC = 3
( stor3_t )1, // BLIS_CRC = 5 -> BLIS_RRC = 1
( stor3_t )2, // BLIS_CCR = 6 -> BLIS_RCR = 2
( stor3_t )0, // BLIS_CCC = 7 -> BLIS_RRR = 0
};
return map[id];
#else
return ( ( id & 0x4 ) ^ 0x4 ) | // flip c bit
( ( ( id & 0x1 ) ^ 0x1 ) << 1 ) | // flip b bit and move to a position
( ( ( id & 0x2 ) ^ 0x2 ) >> 1 ); // flip a bit and move to b position
#endif
}
static stor3_t bli_stor3_transa( stor3_t id )
{
#if 0
stor3_t map[ BLIS_NUM_3OP_RC_COMBOS ]
=
{
( stor3_t )1, // BLIS_RRR = 0 -> BLIS_RRC = 1
( stor3_t )0, // BLIS_RRC = 1 -> BLIS_RRR = 0
( stor3_t )3, // BLIS_RCR = 2 -> BLIS_RCC = 3
( stor3_t )2, // BLIS_RCC = 3 -> BLIS_RCR = 2
( stor3_t )5, // BLIS_CRR = 4 -> BLIS_CRC = 5
( stor3_t )4, // BLIS_CRC = 5 -> BLIS_CRR = 4
( stor3_t )7, // BLIS_CCR = 6 -> BLIS_CCC = 7
( stor3_t )6, // BLIS_CCC = 7 -> BLIS_CCR = 6
};
return map[id];
#else
return ( stor3_t )( id ^ 0x1 );
#endif
}
static stor3_t bli_stor3_transb( stor3_t id )
{
#if 0
stor3_t map[ BLIS_NUM_3OP_RC_COMBOS ]
=
{
( stor3_t )2, // BLIS_RRR = 0 -> BLIS_RCR = 2
( stor3_t )3, // BLIS_RRC = 1 -> BLIS_RCC = 3
( stor3_t )0, // BLIS_RCR = 2 -> BLIS_RRR = 0
( stor3_t )1, // BLIS_RCC = 3 -> BLIS_RRC = 1
( stor3_t )6, // BLIS_CRR = 4 -> BLIS_CCR = 6
( stor3_t )7, // BLIS_CRC = 5 -> BLIS_CCC = 7
( stor3_t )4, // BLIS_CCR = 6 -> BLIS_CRR = 4
( stor3_t )5, // BLIS_CCC = 7 -> BLIS_CRC = 5
};
return map[id];
#else
return ( stor3_t )( id ^ 0x2 );
#endif
}
// index-related
static bool_t bli_is_edge_f( dim_t i, dim_t n_iter, dim_t n_left )
{
return ( bool_t )
( i == n_iter - 1 && n_left != 0 );
}
static bool_t bli_is_not_edge_f( dim_t i, dim_t n_iter, dim_t n_left )
{
return ( bool_t )
( i != n_iter - 1 || n_left == 0 );
}
static bool_t bli_is_edge_b( dim_t i, dim_t n_iter, dim_t n_left )
{
return ( bool_t )
( i == 0 && n_left != 0 );
}
static bool_t bli_is_not_edge_b( dim_t i, dim_t n_iter, dim_t n_left )
{
return ( bool_t )
( i != 0 || n_left == 0 );
}
static bool_t bli_is_last_iter_sl( dim_t i, dim_t end_iter, dim_t tid, dim_t nth )
{
return ( bool_t )
( i == end_iter - 1 );
}
static bool_t bli_is_last_iter_rr( dim_t i, dim_t end_iter, dim_t tid, dim_t nth )
{
return ( bool_t )
( i == end_iter - 1 - ( ( end_iter - tid - 1 ) % nth ) );
}
static bool_t bli_is_last_iter( dim_t i, dim_t end_iter, dim_t tid, dim_t nth )
{
#ifdef BLIS_ENABLE_JRIR_SLAB
return bli_is_last_iter_sl( i, end_iter, tid, nth );
#else // BLIS_ENABLE_JRIR_RR
return bli_is_last_iter_rr( i, end_iter, tid, nth );
#endif
}
// packbuf_t-related
static guint_t bli_packbuf_index( packbuf_t buf_type )
{
return ( guint_t )
( ( buf_type & BLIS_PACK_BUFFER_BITS ) >> BLIS_PACK_BUFFER_SHIFT );
}
// pack_t-related
static bool_t bli_is_packed( pack_t schema )
{
return ( bool_t )
( schema & BLIS_PACK_BIT );
}
static bool_t bli_is_row_packed( pack_t schema )
{
return ( bool_t )
( schema & BLIS_PACK_RC_BIT ) == ( BLIS_BITVAL_PACKED_UNSPEC ^
BLIS_BITVAL_PACKED_ROWS );
}
static bool_t bli_is_col_packed( pack_t schema )
{
return ( bool_t )
( schema & BLIS_PACK_RC_BIT ) == ( BLIS_BITVAL_PACKED_UNSPEC ^
BLIS_BITVAL_PACKED_COLUMNS );
}
static bool_t bli_is_panel_packed( pack_t schema )
{
return ( bool_t )
( schema & BLIS_PACK_PANEL_BIT );
}
static bool_t bli_is_4mi_packed( pack_t schema )
{
return ( bool_t )
( schema & BLIS_PACK_FORMAT_BITS ) == BLIS_BITVAL_4MI;
}
static bool_t bli_is_3mi_packed( pack_t schema )
{
return ( bool_t )
( schema & BLIS_PACK_FORMAT_BITS ) == BLIS_BITVAL_3MI;
}
static bool_t bli_is_3ms_packed( pack_t schema )
{
return ( bool_t )
( schema & BLIS_PACK_FORMAT_BITS ) == BLIS_BITVAL_3MS;
}
static bool_t bli_is_ro_packed( pack_t schema )
{
return ( bool_t )
( schema & BLIS_PACK_FORMAT_BITS ) == BLIS_BITVAL_RO;
}
static bool_t bli_is_io_packed( pack_t schema )
{
return ( bool_t )
( schema & BLIS_PACK_FORMAT_BITS ) == BLIS_BITVAL_IO;
}
static bool_t bli_is_rpi_packed( pack_t schema )
{
return ( bool_t )
( schema & BLIS_PACK_FORMAT_BITS ) == BLIS_BITVAL_RPI;
}
static bool_t bli_is_rih_packed( pack_t schema )
{
return ( bool_t )
( bli_is_ro_packed( schema ) ||
bli_is_io_packed( schema ) ||
bli_is_rpi_packed( schema ) );
}
static bool_t bli_is_1r_packed( pack_t schema )
{
return ( bool_t )
( schema & BLIS_PACK_FORMAT_BITS ) == BLIS_BITVAL_1R;
}
static bool_t bli_is_1e_packed( pack_t schema )
{
return ( bool_t )
( schema & BLIS_PACK_FORMAT_BITS ) == BLIS_BITVAL_1E;
}
static bool_t bli_is_1m_packed( pack_t schema )
{
return ( bool_t )
( bli_is_1r_packed( schema ) ||
bli_is_1e_packed( schema ) );
}
static bool_t bli_is_nat_packed( pack_t schema )
{
return ( bool_t )
( schema & BLIS_PACK_FORMAT_BITS ) == 0;
}
static bool_t bli_is_ind_packed( pack_t schema )
{
return ( bool_t )
( schema & BLIS_PACK_FORMAT_BITS ) != 0;
}
static guint_t bli_pack_schema_index( pack_t schema )
{
return ( guint_t )
( schema & BLIS_PACK_FORMAT_BITS ) >> BLIS_PACK_FORMAT_SHIFT;
}
// pointer-related
// Increment a pointer by an integer fraction:
// p0 + (num/dem)
// where p0 is a pointer to a datatype of size sizeof_p0.
static void_fp bli_ptr_inc_by_frac( void_fp p0, siz_t sizeof_p0, dim_t num, dim_t den )
{
return ( void_fp )
( ( char* )p0 + ( ( num * ( dim_t )sizeof_p0 ) / den ) );
}
// Set dimensions, increments, effective uplo/diagoff, etc for ONE matrix
// argument.
static
void bli_set_dims_incs_uplo_1m
(
doff_t diagoffa, diag_t diaga,
uplo_t uploa, dim_t m, dim_t n, inc_t rs_a, inc_t cs_a,
uplo_t* uplo_eff, dim_t* n_elem_max, dim_t* n_iter, inc_t* inca, inc_t* lda,
dim_t* ij0, dim_t* n_shift
)
{
// This is to prevent the compiler from warning about uninitialized
// variables.
*ij0 = 0;
*n_shift = 0;
// If matrix A is entirely "unstored", that is, if either:
// - A is lower-stored and entirely above the diagonal, or
// - A is upper-stored and entirely below the diagonal
// then we mark the storage as implicitly zero.
if ( bli_is_unstored_subpart( diagoffa, BLIS_NO_TRANSPOSE, uploa, m, n ) )
{
*uplo_eff = BLIS_ZEROS;
}
else
{
doff_t diagoffa_use_ = diagoffa;
doff_t diagoff_eff_;
dim_t n_iter_max_;
if ( bli_is_unit_diag( diaga ) )
bli_shift_diag_offset_to_shrink_uplo( uploa, &diagoffa_use_ );
// If matrix A is entirely "stored", that is, if either:
// - A is upper-stored and entirely above the diagonal, or
// - A is lower-stored and entirely below the diagonal
// then we mark the storage as dense.
if ( bli_is_stored_subpart( diagoffa_use_, BLIS_NO_TRANSPOSE, uploa, m, n ) )
uploa = BLIS_DENSE;
n_iter_max_ = n;
*n_elem_max = m;
*inca = rs_a;
*lda = cs_a;
*uplo_eff = uploa;
diagoff_eff_ = diagoffa_use_;
if ( bli_is_row_tilted( *n_elem_max, n_iter_max_, *inca, *lda ) )
{
bli_swap_dims( &n_iter_max_, n_elem_max );
bli_swap_incs( inca, lda );
bli_toggle_uplo( uplo_eff );
bli_negate_diag_offset( &diagoff_eff_ );
}
if ( bli_is_dense( *uplo_eff ) )
{
*n_iter = n_iter_max_;
}
else if ( bli_is_upper( *uplo_eff ) )
{
if ( diagoff_eff_ < 0 )
{
*ij0 = 0;
*n_shift = -diagoff_eff_;
*n_elem_max = bli_min( *n_elem_max, *n_shift + bli_min( m, n ) );
*n_iter = n_iter_max_;
}
else
{
*ij0 = diagoff_eff_;
*n_shift = 0;
*n_iter = n_iter_max_ - diagoff_eff_;
}
}
else // if ( bli_is_lower( *uplo_eff ) )
{
if ( diagoff_eff_ < 0 )
{
*ij0 = -diagoff_eff_;
*n_shift = 0;
*n_elem_max = *n_elem_max + diagoff_eff_;
*n_iter = bli_min( *n_elem_max, bli_min( m, n ) );
}
else
{
*ij0 = 0;
*n_shift = diagoff_eff_;
*n_iter = bli_min( n_iter_max_, *n_shift + bli_min( m, n ) );
}
}
}
}
// Set dimensions, increments, effective uplo/diagoff, etc for ONE matrix
// argument (without column-wise stride optimization).
static
void bli_set_dims_incs_uplo_1m_noswap
(
doff_t diagoffa, diag_t diaga,
uplo_t uploa, dim_t m, dim_t n, inc_t rs_a, inc_t cs_a,
uplo_t* uplo_eff, dim_t* n_elem_max, dim_t* n_iter, inc_t* inca, inc_t* lda,
dim_t* ij0, dim_t* n_shift
)
{
// This is to prevent the compiler from warning about uninitialized
// variables.
*ij0 = 0;
*n_shift = 0;
// If matrix A is entirely "unstored", that is, if either:
// - A is lower-stored and entirely above the diagonal, or
// - A is upper-stored and entirely below the diagonal
// then we mark the storage as implicitly zero.
if ( bli_is_unstored_subpart( diagoffa, BLIS_NO_TRANSPOSE, uploa, m, n ) )
{
*uplo_eff = BLIS_ZEROS;
}
else
{
doff_t diagoffa_use_ = diagoffa;
doff_t diagoff_eff_;
dim_t n_iter_max_;
if ( bli_is_unit_diag( diaga ) )
bli_shift_diag_offset_to_shrink_uplo( uploa, &diagoffa_use_ );
// If matrix A is entirely "stored", that is, if either:
// - A is upper-stored and entirely above the diagonal, or
// - A is lower-stored and entirely below the diagonal
// then we mark the storage as dense.
if ( bli_is_stored_subpart( diagoffa_use_, BLIS_NO_TRANSPOSE, uploa, m, n ) )
uploa = BLIS_DENSE;
n_iter_max_ = n;
*n_elem_max = m;
*inca = rs_a;
*lda = cs_a;
*uplo_eff = uploa;
diagoff_eff_ = diagoffa_use_;
if ( bli_is_dense( *uplo_eff ) )
{
*n_iter = n_iter_max_;
}
else if ( bli_is_upper( *uplo_eff ) )
{
if ( diagoff_eff_ < 0 )
{
*ij0 = 0;
*n_shift = -diagoff_eff_;
*n_elem_max = bli_min( *n_elem_max, *n_shift + bli_min( m, n ) );
*n_iter = n_iter_max_;
}
else
{
*ij0 = diagoff_eff_;
*n_shift = 0;
*n_iter = n_iter_max_ - diagoff_eff_;
}
}
else // if ( bli_is_lower( *uplo_eff ) )
{
if ( diagoff_eff_ < 0 )
{
*ij0 = -diagoff_eff_;
*n_shift = 0;
*n_elem_max = *n_elem_max + diagoff_eff_;
*n_iter = bli_min( *n_elem_max, bli_min( m, n ) );
}
else
{
*ij0 = 0;
*n_shift = diagoff_eff_;
*n_iter = bli_min( n_iter_max_, *n_shift + bli_min( m, n ) );
}
}
}
}
// Set dimensions and increments for TWO matrix arguments.
static
void bli_set_dims_incs_2m
(
trans_t transa,
dim_t m, dim_t n, inc_t rs_a, inc_t cs_a,
inc_t rs_b, inc_t cs_b,
dim_t* n_elem, dim_t* n_iter, inc_t* inca, inc_t* lda,
inc_t* incb, inc_t* ldb
)
{
{
*n_iter = n;
*n_elem = m;
*inca = rs_a;
*lda = cs_a;
*incb = rs_b;
*ldb = cs_b;
if ( bli_does_trans( transa ) )
{
bli_swap_incs( inca, lda );
}
if ( bli_is_row_tilted( *n_elem, *n_iter, *incb, *ldb ) &&
bli_is_row_tilted( *n_elem, *n_iter, *inca, *lda ) )
{
bli_swap_dims( n_iter, n_elem );
bli_swap_incs( inca, lda );
bli_swap_incs( incb, ldb );
}
}
}
// Set dimensions, increments, effective uplo/diagoff, etc for TWO matrix
// arguments.
static
void bli_set_dims_incs_uplo_2m
(
doff_t diagoffa, diag_t diaga, trans_t transa,
uplo_t uploa, dim_t m, dim_t n, inc_t rs_a, inc_t cs_a,
inc_t rs_b, inc_t cs_b,
uplo_t* uplo_eff, dim_t* n_elem_max, dim_t* n_iter, inc_t* inca, inc_t* lda,
inc_t* incb, inc_t* ldb,
dim_t* ij0, dim_t* n_shift
)
{
// This is to prevent the compiler from warning about uninitialized
// variables.
*ij0 = 0;
*n_shift = 0;
// If matrix A is entirely "unstored", that is, if either:
// - A is lower-stored and entirely above the diagonal, or
// - A is upper-stored and entirely below the diagonal
// then we mark the storage as implicitly zero.
if ( bli_is_unstored_subpart( diagoffa, transa, uploa, m, n ) )
{
*uplo_eff = BLIS_ZEROS;
}
else
{
doff_t diagoffa_use_ = diagoffa;
doff_t diagoff_eff_;
dim_t n_iter_max_;
if ( bli_is_unit_diag( diaga ) )
bli_shift_diag_offset_to_shrink_uplo( uploa, &diagoffa_use_ );
// If matrix A is entirely "stored", that is, if either:
// - A is upper-stored and entirely above the diagonal, or
// - A is lower-stored and entirely below the diagonal
// then we mark the storage as dense.
if ( bli_is_stored_subpart( diagoffa_use_, transa, uploa, m, n ) )
uploa = BLIS_DENSE;
n_iter_max_ = n;
*n_elem_max = m;
*inca = rs_a;
*lda = cs_a;
*incb = rs_b;
*ldb = cs_b;
*uplo_eff = uploa;
diagoff_eff_ = diagoffa_use_;
if ( bli_does_trans( transa ) )
{
bli_swap_incs( inca, lda );
bli_toggle_uplo( uplo_eff );
bli_negate_diag_offset( &diagoff_eff_ );
}
if ( bli_is_row_tilted( *n_elem_max, n_iter_max_, *incb, *ldb ) &&
bli_is_row_tilted( *n_elem_max, n_iter_max_, *inca, *lda ) )
{
bli_swap_dims( &n_iter_max_, n_elem_max );
bli_swap_incs( inca, lda );
bli_swap_incs( incb, ldb );
bli_toggle_uplo( uplo_eff );
bli_negate_diag_offset( &diagoff_eff_ );
}
if ( bli_is_dense( *uplo_eff ) )
{
*n_iter = n_iter_max_;
}
else if ( bli_is_upper( *uplo_eff ) )
{
if ( diagoff_eff_ < 0 )
{
*ij0 = 0;
*n_shift = -diagoff_eff_;
*n_elem_max = bli_min( *n_elem_max, *n_shift + bli_min( m, n ) );
*n_iter = n_iter_max_;
}
else
{
*ij0 = diagoff_eff_;
*n_shift = 0;
*n_iter = n_iter_max_ - diagoff_eff_;
}
}
else // if ( bli_is_lower( *uplo_eff ) )
{
if ( diagoff_eff_ < 0 )
{
*ij0 = -diagoff_eff_;
*n_shift = 0;
*n_elem_max = *n_elem_max + diagoff_eff_;
*n_iter = bli_min( *n_elem_max, bli_min( m, n ) );
}
else
{
*ij0 = 0;
*n_shift = diagoff_eff_;
*n_iter = bli_min( n_iter_max_, *n_shift + bli_min( m, n ) );
}
}
}
}
// Set dimensions, increments, etc for ONE matrix argument when operating
// on the diagonal.
static
void bli_set_dims_incs_1d
(
doff_t diagoffx,
dim_t m, dim_t n, inc_t rs_x, inc_t cs_x,
dim_t* offx, dim_t* n_elem, inc_t* incx
)
{
if ( diagoffx < 0 )
{
*n_elem = bli_min( m - ( dim_t )(-diagoffx), n );
*offx = ( dim_t )(-diagoffx) * rs_x;
}
else
{
*n_elem = bli_min( n - ( dim_t )( diagoffx), m );
*offx = ( dim_t )( diagoffx) * cs_x;
}
*incx = rs_x + cs_x; \
}
// Set dimensions, increments, etc for TWO matrix arguments when operating
// on diagonals.
static
void bli_set_dims_incs_2d
(
doff_t diagoffx, trans_t transx,
dim_t m, dim_t n, inc_t rs_x, inc_t cs_x,
inc_t rs_y, inc_t cs_y,
dim_t* offx, dim_t* offy, dim_t* n_elem,
inc_t* incx, inc_t* incy
)
{
doff_t diagoffy_ = bli_diag_offset_with_trans( transx, diagoffx );
if ( diagoffx < 0 ) *offx = -diagoffx * rs_x;
else *offx = diagoffx * cs_x;
if ( diagoffy_ < 0 )
{
*n_elem = bli_min( m - ( dim_t )(-diagoffy_), n );
*offy = -diagoffy_ * rs_y;
}
else
{
*n_elem = bli_min( n - ( dim_t )( diagoffy_), m );
*offy = diagoffy_ * cs_y;
}
*incx = rs_x + cs_x;
*incy = rs_y + cs_y;
}
#endif