Armv8-A Add Part of GEMMSUP 8x4m Kernel

- Compile w/ both GCC & Clang
- Only block part is implement. Edge cases WIP
- Not Optimal kernel scheme. Should do 4x8 instead
This commit is contained in:
RuQing Xu
2021-06-02 00:04:20 +09:00
parent 6639999288
commit df40efe8fb
2 changed files with 862 additions and 0 deletions

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/*
BLIS
An object-based framework for developing high-performance BLAS-like
libraries.
Copyright (C) 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.
*/
#include "blis.h"
// Separate instantiation for Armv8-A reference kernels.
// Temporary workaround. Will be removed after upstream has switched to a better way
// of exposing gemmsup interface.
//
// -- Row storage case ---------------------------------------------------------
//
#undef GENTFUNC
#define GENTFUNC( ctype, ch, opname, arch, suf ) \
\
void PASTEMAC3(ch,opname,arch,suf) \
( \
conj_t conja, \
conj_t conjb, \
dim_t m, \
dim_t n, \
dim_t k, \
ctype* restrict alpha, \
ctype* restrict a, inc_t rs_a, inc_t cs_a, \
ctype* restrict b, inc_t rs_b, inc_t cs_b, \
ctype* restrict beta, \
ctype* restrict c, inc_t rs_c, inc_t cs_c, \
auxinfo_t* restrict data, \
cntx_t* restrict cntx \
) \
{ \
/* NOTE: This microkernel can actually handle arbitrarily large
values of m, n, and k. */ \
\
if ( bli_is_noconj( conja ) && bli_is_noconj( conjb ) ) \
{ \
/* Traverse c by rows. */ \
for ( dim_t i = 0; i < m; ++i ) \
{ \
ctype* restrict ci = &c[ i*rs_c ]; \
ctype* restrict ai = &a[ i*rs_a ]; \
\
for ( dim_t j = 0; j < n; ++j ) \
{ \
ctype* restrict cij = &ci[ j*cs_c ]; \
ctype* restrict bj = &b [ j*cs_b ]; \
ctype ab; \
\
PASTEMAC(ch,set0s)( ab ); \
\
/* Perform a dot product to update the (i,j) element of c. */ \
for ( dim_t l = 0; l < k; ++l ) \
{ \
ctype* restrict aij = &ai[ l*cs_a ]; \
ctype* restrict bij = &bj[ l*rs_b ]; \
\
PASTEMAC(ch,dots)( *aij, *bij, ab ); \
} \
\
/* If beta is one, add ab into c. If beta is zero, overwrite c
with the result in ab. Otherwise, scale by beta and accumulate
ab to c. */ \
if ( PASTEMAC(ch,eq1)( *beta ) ) \
{ \
PASTEMAC(ch,axpys)( *alpha, ab, *cij ); \
} \
else if ( PASTEMAC(ch,eq0)( *beta ) ) \
{ \
PASTEMAC(ch,scal2s)( *alpha, ab, *cij ); \
} \
else \
{ \
PASTEMAC(ch,axpbys)( *alpha, ab, *beta, *cij ); \
} \
} \
} \
} \
else if ( bli_is_noconj( conja ) && bli_is_conj( conjb ) ) \
{ \
/* Traverse c by rows. */ \
for ( dim_t i = 0; i < m; ++i ) \
{ \
ctype* restrict ci = &c[ i*rs_c ]; \
ctype* restrict ai = &a[ i*rs_a ]; \
\
for ( dim_t j = 0; j < n; ++j ) \
{ \
ctype* restrict cij = &ci[ j*cs_c ]; \
ctype* restrict bj = &b [ j*cs_b ]; \
ctype ab; \
\
PASTEMAC(ch,set0s)( ab ); \
\
/* Perform a dot product to update the (i,j) element of c. */ \
for ( dim_t l = 0; l < k; ++l ) \
{ \
ctype* restrict aij = &ai[ l*cs_a ]; \
ctype* restrict bij = &bj[ l*rs_b ]; \
\
PASTEMAC(ch,axpyjs)( *aij, *bij, ab ); \
} \
\
/* If beta is one, add ab into c. If beta is zero, overwrite c
with the result in ab. Otherwise, scale by beta and accumulate
ab to c. */ \
if ( PASTEMAC(ch,eq1)( *beta ) ) \
{ \
PASTEMAC(ch,axpys)( *alpha, ab, *cij ); \
} \
else if ( PASTEMAC(ch,eq0)( *beta ) ) \
{ \
PASTEMAC(ch,scal2s)( *alpha, ab, *cij ); \
} \
else \
{ \
PASTEMAC(ch,axpbys)( *alpha, ab, *beta, *cij ); \
} \
} \
} \
} \
else if ( bli_is_conj( conja ) && bli_is_noconj( conjb ) ) \
{ \
/* Traverse c by rows. */ \
for ( dim_t i = 0; i < m; ++i ) \
{ \
ctype* restrict ci = &c[ i*rs_c ]; \
ctype* restrict ai = &a[ i*rs_a ]; \
\
for ( dim_t j = 0; j < n; ++j ) \
{ \
ctype* restrict cij = &ci[ j*cs_c ]; \
ctype* restrict bj = &b [ j*cs_b ]; \
ctype ab; \
\
PASTEMAC(ch,set0s)( ab ); \
\
/* Perform a dot product to update the (i,j) element of c. */ \
for ( dim_t l = 0; l < k; ++l ) \
{ \
ctype* restrict aij = &ai[ l*cs_a ]; \
ctype* restrict bij = &bj[ l*rs_b ]; \
\
PASTEMAC(ch,dotjs)( *aij, *bij, ab ); \
} \
\
/* If beta is one, add ab into c. If beta is zero, overwrite c
with the result in ab. Otherwise, scale by beta and accumulate
ab to c. */ \
if ( PASTEMAC(ch,eq1)( *beta ) ) \
{ \
PASTEMAC(ch,axpys)( *alpha, ab, *cij ); \
} \
else if ( PASTEMAC(ch,eq0)( *beta ) ) \
{ \
PASTEMAC(ch,scal2s)( *alpha, ab, *cij ); \
} \
else \
{ \
PASTEMAC(ch,axpbys)( *alpha, ab, *beta, *cij ); \
} \
} \
} \
} \
else /* if ( bli_is_conj( conja ) && bli_is_conj( conjb ) ) */ \
{ \
/* Traverse c by rows. */ \
for ( dim_t i = 0; i < m; ++i ) \
{ \
ctype* restrict ci = &c[ i*rs_c ]; \
ctype* restrict ai = &a[ i*rs_a ]; \
\
for ( dim_t j = 0; j < n; ++j ) \
{ \
ctype* restrict cij = &ci[ j*cs_c ]; \
ctype* restrict bj = &b [ j*cs_b ]; \
ctype ab; \
\
PASTEMAC(ch,set0s)( ab ); \
\
/* Perform a dot product to update the (i,j) element of c. */ \
for ( dim_t l = 0; l < k; ++l ) \
{ \
ctype* restrict aij = &ai[ l*cs_a ]; \
ctype* restrict bij = &bj[ l*rs_b ]; \
\
PASTEMAC(ch,dots)( *aij, *bij, ab ); \
} \
\
/* Conjugate the result to simulate conj(a^T) * conj(b). */ \
PASTEMAC(ch,conjs)( ab ); \
\
/* If beta is one, add ab into c. If beta is zero, overwrite c
with the result in ab. Otherwise, scale by beta and accumulate
ab to c. */ \
if ( PASTEMAC(ch,eq1)( *beta ) ) \
{ \
PASTEMAC(ch,axpys)( *alpha, ab, *cij ); \
} \
else if ( PASTEMAC(ch,eq0)( *beta ) ) \
{ \
PASTEMAC(ch,scal2s)( *alpha, ab, *cij ); \
} \
else \
{ \
PASTEMAC(ch,axpbys)( *alpha, ab, *beta, *cij ); \
} \
} \
} \
} \
}
INSERT_GENTFUNC_BASIC2( gemmsup_r, _armv8a, _ref2 )
//
// -- Column storage case ------------------------------------------------------
//
#undef GENTFUNC
#define GENTFUNC( ctype, ch, opname, arch, suf ) \
\
void PASTEMAC3(ch,opname,arch,suf) \
( \
conj_t conja, \
conj_t conjb, \
dim_t m, \
dim_t n, \
dim_t k, \
ctype* restrict alpha, \
ctype* restrict a, inc_t rs_a, inc_t cs_a, \
ctype* restrict b, inc_t rs_b, inc_t cs_b, \
ctype* restrict beta, \
ctype* restrict c, inc_t rs_c, inc_t cs_c, \
auxinfo_t* restrict data, \
cntx_t* restrict cntx \
) \
{ \
/* NOTE: This microkernel can actually handle arbitrarily large
values of m, n, and k. */ \
\
if ( bli_is_noconj( conja ) && bli_is_noconj( conjb ) ) \
{ \
/* Traverse c by columns. */ \
for ( dim_t j = 0; j < n; ++j ) \
{ \
ctype* restrict cj = &c[ j*cs_c ]; \
ctype* restrict bj = &b[ j*cs_b ]; \
\
for ( dim_t i = 0; i < m; ++i ) \
{ \
ctype* restrict cij = &cj[ i*rs_c ]; \
ctype* restrict ai = &a [ i*rs_a ]; \
ctype ab; \
\
PASTEMAC(ch,set0s)( ab ); \
\
/* Perform a dot product to update the (i,j) element of c. */ \
for ( dim_t l = 0; l < k; ++l ) \
{ \
ctype* restrict aij = &ai[ l*cs_a ]; \
ctype* restrict bij = &bj[ l*rs_b ]; \
\
PASTEMAC(ch,dots)( *aij, *bij, ab ); \
} \
\
/* If beta is one, add ab into c. If beta is zero, overwrite c
with the result in ab. Otherwise, scale by beta and accumulate
ab to c. */ \
if ( PASTEMAC(ch,eq1)( *beta ) ) \
{ \
PASTEMAC(ch,axpys)( *alpha, ab, *cij ); \
} \
else if ( PASTEMAC(ch,eq0)( *beta ) ) \
{ \
PASTEMAC(ch,scal2s)( *alpha, ab, *cij ); \
} \
else \
{ \
PASTEMAC(ch,axpbys)( *alpha, ab, *beta, *cij ); \
} \
} \
} \
} \
else if ( bli_is_noconj( conja ) && bli_is_conj( conjb ) ) \
{ \
/* Traverse c by columns. */ \
for ( dim_t j = 0; j < n; ++j ) \
{ \
ctype* restrict cj = &c[ j*cs_c ]; \
ctype* restrict bj = &b[ j*cs_b ]; \
\
for ( dim_t i = 0; i < m; ++i ) \
{ \
ctype* restrict cij = &cj[ i*rs_c ]; \
ctype* restrict ai = &a [ i*rs_a ]; \
ctype ab; \
\
PASTEMAC(ch,set0s)( ab ); \
\
/* Perform a dot product to update the (i,j) element of c. */ \
for ( dim_t l = 0; l < k; ++l ) \
{ \
ctype* restrict aij = &ai[ l*cs_a ]; \
ctype* restrict bij = &bj[ l*rs_b ]; \
\
PASTEMAC(ch,axpyjs)( *aij, *bij, ab ); \
} \
\
/* If beta is one, add ab into c. If beta is zero, overwrite c
with the result in ab. Otherwise, scale by beta and accumulate
ab to c. */ \
if ( PASTEMAC(ch,eq1)( *beta ) ) \
{ \
PASTEMAC(ch,axpys)( *alpha, ab, *cij ); \
} \
else if ( PASTEMAC(ch,eq0)( *beta ) ) \
{ \
PASTEMAC(ch,scal2s)( *alpha, ab, *cij ); \
} \
else \
{ \
PASTEMAC(ch,axpbys)( *alpha, ab, *beta, *cij ); \
} \
} \
} \
} \
else if ( bli_is_conj( conja ) && bli_is_noconj( conjb ) ) \
{ \
/* Traverse c by columns. */ \
for ( dim_t j = 0; j < n; ++j ) \
{ \
ctype* restrict cj = &c[ j*cs_c ]; \
ctype* restrict bj = &b[ j*cs_b ]; \
\
for ( dim_t i = 0; i < m; ++i ) \
{ \
ctype* restrict cij = &cj[ i*rs_c ]; \
ctype* restrict ai = &a [ i*rs_a ]; \
ctype ab; \
\
PASTEMAC(ch,set0s)( ab ); \
\
/* Perform a dot product to update the (i,j) element of c. */ \
for ( dim_t l = 0; l < k; ++l ) \
{ \
ctype* restrict aij = &ai[ l*cs_a ]; \
ctype* restrict bij = &bj[ l*rs_b ]; \
\
PASTEMAC(ch,dotjs)( *aij, *bij, ab ); \
} \
\
/* If beta is one, add ab into c. If beta is zero, overwrite c
with the result in ab. Otherwise, scale by beta and accumulate
ab to c. */ \
if ( PASTEMAC(ch,eq1)( *beta ) ) \
{ \
PASTEMAC(ch,axpys)( *alpha, ab, *cij ); \
} \
else if ( PASTEMAC(ch,eq0)( *beta ) ) \
{ \
PASTEMAC(ch,scal2s)( *alpha, ab, *cij ); \
} \
else \
{ \
PASTEMAC(ch,axpbys)( *alpha, ab, *beta, *cij ); \
} \
} \
} \
} \
else /* if ( bli_is_conj( conja ) && bli_is_conj( conjb ) ) */ \
{ \
/* Traverse c by columns. */ \
for ( dim_t j = 0; j < n; ++j ) \
{ \
ctype* restrict cj = &c[ j*cs_c ]; \
ctype* restrict bj = &b[ j*cs_b ]; \
\
for ( dim_t i = 0; i < m; ++i ) \
{ \
ctype* restrict cij = &cj[ i*rs_c ]; \
ctype* restrict ai = &a [ i*rs_a ]; \
ctype ab; \
\
PASTEMAC(ch,set0s)( ab ); \
\
/* Perform a dot product to update the (i,j) element of c. */ \
for ( dim_t l = 0; l < k; ++l ) \
{ \
ctype* restrict aij = &ai[ l*cs_a ]; \
ctype* restrict bij = &bj[ l*rs_b ]; \
\
PASTEMAC(ch,dots)( *aij, *bij, ab ); \
} \
\
/* Conjugate the result to simulate conj(a^T) * conj(b). */ \
PASTEMAC(ch,conjs)( ab ); \
\
/* If beta is one, add ab into c. If beta is zero, overwrite c
with the result in ab. Otherwise, scale by beta and accumulate
ab to c. */ \
if ( PASTEMAC(ch,eq1)( *beta ) ) \
{ \
PASTEMAC(ch,axpys)( *alpha, ab, *cij ); \
} \
else if ( PASTEMAC(ch,eq0)( *beta ) ) \
{ \
PASTEMAC(ch,scal2s)( *alpha, ab, *cij ); \
} \
else \
{ \
PASTEMAC(ch,axpbys)( *alpha, ab, *beta, *cij ); \
} \
} \
} \
} \
}
INSERT_GENTFUNC_BASIC2( gemmsup_c, _armv8a, _ref2 )

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/*
BLIS
An object-based framework for developing high-performance BLAS-like
libraries.
Copyright (C) 2014, The University of Texas at Austin
Copyright (C) 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.
*/
#include "blis.h"
#include "assert.h"
GEMMSUP_KER_PROT( double, d, gemmsup_r_armv8a_ref2 )
// Label locality & misc.
#include "../armv8a_asm_utils.h"
// Nanokernel operations.
#include "../armv8a_asm_d2x2.h"
/*
* +---+ +---+
* | 0 | | 4 |
* +---+ +---+
* +---+ +---+
* | 1 | | 5 |
* +---+ +---+
* +---+ +---+
* | 2 | | 6 |
* +---+ +---+
* +---+ +---+
* | 3 | | 7 |
* +---+ +---+
*
*/
#define DGEMM_8X4_MKER_LOOP_PLAIN(C00,C10,C20,C30,C01,C11,C21,C31,C02,C12,C22,C32,C03,C13,C23,C33,A0,A1,A2,A3,B0,B1,BADDR,BSHIFT,LOADNEXT) \
DGEMM_2X2_NANOKERNEL(C00,C01,A0,B0) \
DGEMM_2X2_NANOKERNEL(C10,C11,A1,B0) \
DGEMM_2X2_NANOKERNEL(C20,C21,A2,B0) \
DGEMM_2X2_NANOKERNEL(C30,C31,A3,B0) \
DGEMM_LOAD1V_ ##LOADNEXT (B0,BADDR,BSHIFT) \
DGEMM_2X2_NANOKERNEL(C02,C03,A0,B1) \
DGEMM_2X2_NANOKERNEL(C12,C13,A1,B1) \
DGEMM_2X2_NANOKERNEL(C22,C23,A2,B1) \
DGEMM_2X2_NANOKERNEL(C32,C33,A3,B1)
// Interleaving load or not.
#define DGEMM_LOAD1V_noload(V1,ADDR,IMM)
#define DGEMM_LOAD1V_load(V1,ADDR,IMM) \
" ldr q"#V1", ["#ADDR", #"#IMM"] \n\t"
#define DLOADC_4V_C_FWD(C0,C1,C2,C3,CADDR,CSHIFT,LDC) \
DLOAD4V(C0,C1,C2,C3,CADDR,CSHIFT) \
" add "#CADDR", "#CADDR", "#LDC" \n\t"
#define DSTOREC_4V_C_FWD(C0,C1,C2,C3,CADDR,CSHIFT,LDC) \
DSTORE4V(C0,C1,C2,C3,CADDR,CSHIFT) \
" add "#CADDR", "#CADDR", "#LDC" \n\t"
#define DLOADC_4V_R_FWD(C00,C01,C10,C11,CADDR,CSHIFT,RSC) \
DLOAD2V(C00,C01,CADDR,CSHIFT) \
" add "#CADDR", "#CADDR", "#RSC" \n\t" \
DLOAD2V(C10,C11,CADDR,CSHIFT) \
" add "#CADDR", "#CADDR", "#RSC" \n\t"
#define DSTOREC_4V_R_FWD(C00,C01,C10,C11,CADDR,CSHIFT,RSC) \
DSTORE2V(C00,C01,CADDR,CSHIFT) \
" add "#CADDR", "#CADDR", "#RSC" \n\t" \
DSTORE2V(C10,C11,CADDR,CSHIFT) \
" add "#CADDR", "#CADDR", "#RSC" \n\t"
void bli_dgemmsup_rv_armv8a_asm_8x4m
(
conj_t conja,
conj_t conjb,
dim_t m0,
dim_t n0,
dim_t k0,
double* restrict alpha,
double* restrict a, inc_t rs_a0, inc_t cs_a0,
double* restrict b, inc_t rs_b0, inc_t cs_b0,
double* restrict beta,
double* restrict c, inc_t rs_c0, inc_t cs_c0,
auxinfo_t* restrict data,
cntx_t* restrict cntx
)
{
if ( n0 != 4 )
{
// TODO: Implement smaller kernels?
bli_dgemmsup_r_armv8a_ref2
(
conja, conjb, m0, n0, k0,
alpha, a, rs_a0, cs_a0, b, rs_b0, cs_b0,
beta, c, rs_c0, cs_c0, data, cntx
);
return;
}
void* a_next = bli_auxinfo_next_a( data );
void* b_next = bli_auxinfo_next_b( data );
uint64_t ps_a = bli_auxinfo_ps_a( data );
// Typecast local copies of integers in case dim_t and inc_t are a
// different size than is expected by load instructions.
uint64_t k_mker = k0 / 6;
uint64_t k_left = k0 % 6;
uint64_t m_iter = m0 / 8;
uint64_t m_left = m0 % 8;
uint64_t rs_a = rs_a0;
uint64_t cs_a = cs_a0;
uint64_t rs_b = rs_b0;
uint64_t rs_c = rs_c0;
uint64_t cs_c = cs_c0;
// uint64_t cs_b = cs_b0;
assert( cs_b0 == 1 );
if ( m_iter == 0 ) goto consider_edge_cases;
__asm__ volatile
(
" ldr x10, %[a] \n\t"
" ldr x13, %[c] \n\t"
" ldr x12, %[m_iter] \n\t"
" ldr x11, %[ps_a] \n\t" // Panel-skip of A.
" ldr x2, %[cs_a] \n\t" // Column-skip of A.
" ldr x9, %[rs_a] \n\t" // Row-skip of A.
" ldr x3, %[rs_b] \n\t" // Row-skip of B.
" \n\t"
" ldr x6, %[rs_c] \n\t" // Row-skip of C.
" ldr x7, %[cs_c] \n\t" // Column-skip of C.
" \n\t"
" \n\t" // Multiply some address skips by sizeof(double).
" lsl x11, x11, #3 \n\t" // ps_a
" lsl x9, x9, #3 \n\t" // rs_a
" lsl x2, x2, #3 \n\t" // cs_a
" lsl x3, x3, #3 \n\t" // rs_b
" lsl x6, x6, #3 \n\t" // rs_c
" lsl x7, x7, #3 \n\t" // cs_c
" \n\t"
LABEL(MILLIKER_MLOOP)
" \n\t"
" mov x0, x10 \n\t" // Parameters to be reloaded
" mov x5, x13 \n\t" // within each millikernel loop.
" ldr x1, %[b] \n\t"
" ldr x4, %[k_mker] \n\t"
" ldr x8, %[k_left] \n\t"
" \n\t"
// Storage scheme:
// V[ 0:15] <- C
// V[16:19] <- B; Allowed latency: 24 cycles / # of FPUs.
// V[20:31] <- A; Allowed latency: 32 cycles / # of FPUs.
// Under this scheme, the following is defined:
#define DGEMM_8X4_MKER_LOOP_PLAIN_LOC(A0,A1,A2,A3,B0,B1,BADDR,BSHIFT,LOADNEXT) \
DGEMM_8X4_MKER_LOOP_PLAIN(0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,A0,A1,A2,A3,B0,B1,BADDR,BSHIFT,LOADNEXT)
LABEL(LOAD_ABC)
" \n\t" // No-microkernel early return is a must
" cmp x4, #0 \n\t" // to avoid out-of-boundary read.
BEQ(CLEAR_CCOLS)
" \n\t"
" mov x14, x0 \n\t"
" ld1 {v20.d}[0], [x14], x9 \n\t"
" ld1 {v20.d}[1], [x14], x9 \n\t"
" ld1 {v21.d}[0], [x14], x9 \n\t"
" ld1 {v21.d}[1], [x14], x9 \n\t"
" ld1 {v22.d}[0], [x14], x9 \n\t"
" ld1 {v22.d}[1], [x14], x9 \n\t"
" ld1 {v23.d}[0], [x14], x9 \n\t"
" ld1 {v23.d}[1], [x14], x9 \n\t"
" add x0, x0, x2 \n\t"
" mov x14, x0 \n\t"
" ld1 {v24.d}[0], [x14], x9 \n\t"
" ld1 {v24.d}[1], [x14], x9 \n\t"
" ld1 {v25.d}[0], [x14], x9 \n\t"
" ld1 {v25.d}[1], [x14], x9 \n\t"
" ld1 {v26.d}[0], [x14], x9 \n\t"
" ld1 {v26.d}[1], [x14], x9 \n\t"
" ld1 {v27.d}[0], [x14], x9 \n\t"
" ld1 {v27.d}[1], [x14], x9 \n\t"
" add x0, x0, x2 \n\t"
" mov x14, x0 \n\t"
" ld1 {v28.d}[0], [x14], x9 \n\t"
" ld1 {v28.d}[1], [x14], x9 \n\t"
" ld1 {v29.d}[0], [x14], x9 \n\t"
" ld1 {v29.d}[1], [x14], x9 \n\t"
" ld1 {v30.d}[0], [x14], x9 \n\t"
" ld1 {v30.d}[1], [x14], x9 \n\t"
" ld1 {v31.d}[0], [x14], x9 \n\t"
" ld1 {v31.d}[1], [x14], x9 \n\t"
" add x0, x0, x2 \n\t"
" \n\t"
" ldr q16, [x1, #16*0] \n\t"
" ldr q17, [x1, #16*1] \n\t"
" add x1, x1, x3 \n\t"
" ldr q18, [x1, #16*0] \n\t"
" ldr q19, [x1, #16*1] \n\t"
" add x1, x1, x3 \n\t"
LABEL(CLEAR_CCOLS)
CLEAR8V(0,1,2,3,4,5,6,7)
CLEAR8V(8,9,10,11,12,13,14,15)
// No-microkernel early return, once again.
BEQ(K_LEFT_LOOP)
//
// Microkernel is defined here as:
#define DGEMM_8X4_MKER_LOOP_PLAIN_LOC_FWD(A0,A1,A2,A3,B0,B1) \
DGEMM_8X4_MKER_LOOP_PLAIN_LOC(A0,A1,A2,A3,B0,B1,x1,0,load) \
"mov x14, x0 \n\t" \
"ld1 {v"#A0".d}[0], [x14], x9 \n\t" \
"ld1 {v"#A0".d}[1], [x14], x9 \n\t" \
"ld1 {v"#A1".d}[0], [x14], x9 \n\t" \
"ld1 {v"#A1".d}[1], [x14], x9 \n\t" \
"ld1 {v"#A2".d}[0], [x14], x9 \n\t" \
"ld1 {v"#A2".d}[1], [x14], x9 \n\t" \
"ld1 {v"#A3".d}[0], [x14], x9 \n\t" \
"ld1 {v"#A3".d}[1], [x14], x9 \n\t" \
"ldr q"#B1", [x1, #16*1] \n\t" \
"add x1, x1, x3 \n\t" \
"add x0, x0, x2 \n\t"
// Start microkernel loop.
LABEL(K_MKER_LOOP)
DGEMM_8X4_MKER_LOOP_PLAIN_LOC_FWD(20,21,22,23,16,17)
DGEMM_8X4_MKER_LOOP_PLAIN_LOC_FWD(24,25,26,27,18,19)
DGEMM_8X4_MKER_LOOP_PLAIN_LOC_FWD(28,29,30,31,16,17)
" \n\t" // Decrease counter before final replica.
" subs x4, x4, #1 \n\t" // Branch early to avoid reading excess mem.
BEQ(FIN_MKER_LOOP)
DGEMM_8X4_MKER_LOOP_PLAIN_LOC_FWD(20,21,22,23,18,19)
DGEMM_8X4_MKER_LOOP_PLAIN_LOC_FWD(24,25,26,27,16,17)
DGEMM_8X4_MKER_LOOP_PLAIN_LOC_FWD(28,29,30,31,18,19)
BRANCH(K_MKER_LOOP)
//
// Final microkernel loop.
LABEL(FIN_MKER_LOOP)
DGEMM_8X4_MKER_LOOP_PLAIN_LOC(20,21,22,23,18,19,x1,0,load)
" ldr q19, [x1, #16*1] \n\t"
" add x1, x1, x3 \n\t"
DGEMM_8X4_MKER_LOOP_PLAIN_LOC(24,25,26,27,16,17,xzr,-1,noload)
DGEMM_8X4_MKER_LOOP_PLAIN_LOC(28,29,30,31,18,19,xzr,-1,noload)
//
// Loops left behind microkernels.
LABEL(K_LEFT_LOOP)
" cmp x8, #0 \n\t" // End of exec.
BEQ(WRITE_MEM_PREP)
" mov x14, x0 \n\t"
" ld1 {v20.d}[0], [x14], x9 \n\t" // Load A col.
" ld1 {v20.d}[1], [x14], x9 \n\t"
" ld1 {v21.d}[0], [x14], x9 \n\t"
" ld1 {v21.d}[1], [x14], x9 \n\t"
" ld1 {v22.d}[0], [x14], x9 \n\t"
" ld1 {v22.d}[1], [x14], x9 \n\t"
" ld1 {v23.d}[0], [x14], x9 \n\t"
" ld1 {v23.d}[1], [x14], x9 \n\t"
" add x0, x0, x2 \n\t"
" ldr q16, [x1, #16*0] \n\t" // Load B col.
" ldr q17, [x1, #16*1] \n\t"
" add x1, x1, x3 \n\t"
" sub x8, x8, #1 \n\t"
DGEMM_8X4_MKER_LOOP_PLAIN_LOC(20,21,22,23,16,17,xzr,-1,noload)
BRANCH(K_LEFT_LOOP)
//
// Scale and write to memory.
LABEL(WRITE_MEM_PREP)
" ldr x4, %[alpha] \n\t" // Load alpha & beta (address).
" ldr x8, %[beta] \n\t"
" ld1r {v16.2d}, [x4] \n\t" // Load alpha & beta (value).
" ld1r {v17.2d}, [x8] \n\t"
" \n\t"
" mov x1, x5 \n\t" // C address for loading.
" \n\t" // C address for storing is x5 itself.
" cmp x6, #8 \n\t" // Check for row-storage.
BNE(WRITE_MEM_R)
//
// C storage in columns.
LABEL(WRITE_MEM_C)
DLOADC_4V_C_FWD(20,21,22,23,x1,0,x7)
DLOADC_4V_C_FWD(24,25,26,27,x1,0,x7)
DSCALE8V(20,21,22,23,24,25,26,27,17,0)
DSCALEA8V(20,21,22,23,24,25,26,27,0,1,2,3,4,5,6,7,16,0)
//
DLOADC_4V_C_FWD(0,1,2,3,x1,0,x7)
DLOADC_4V_C_FWD(4,5,6,7,x1,0,x7)
DSCALE8V(0,1,2,3,4,5,6,7,17,0)
DSCALEA8V(0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,0)
//
DSTOREC_4V_C_FWD(20,21,22,23,x5,0,x7)
DSTOREC_4V_C_FWD(24,25,26,27,x5,0,x7)
DSTOREC_4V_C_FWD(0,1,2,3,x5,0,x7)
DSTOREC_4V_C_FWD(4,5,6,7,x5,0,x7)
BRANCH(END_WRITE_MEM)
//
// C storage in rows.
LABEL(WRITE_MEM_R)
// In-register transpose.
" trn1 v16.2d, v0.2d, v4.2d \n\t" // Row 0.
" trn1 v17.2d, v8.2d, v12.2d \n\t"
" trn2 v18.2d, v0.2d, v4.2d \n\t" // Row 1.
" trn2 v19.2d, v8.2d, v12.2d \n\t"
" trn1 v20.2d, v1.2d, v5.2d \n\t" // Row 2.
" trn1 v21.2d, v9.2d, v13.2d \n\t"
" trn2 v22.2d, v1.2d, v5.2d \n\t" // Row 3.
" trn2 v23.2d, v9.2d, v13.2d \n\t"
" trn1 v24.2d, v2.2d, v6.2d \n\t" // Row 4.
" trn1 v25.2d, v10.2d, v14.2d \n\t"
" trn2 v26.2d, v2.2d, v6.2d \n\t" // Row 5.
" trn2 v27.2d, v10.2d, v14.2d \n\t"
" trn1 v28.2d, v3.2d, v7.2d \n\t" // Row 6.
" trn1 v29.2d, v11.2d, v15.2d \n\t"
" trn2 v30.2d, v3.2d, v7.2d \n\t" // Row 7.
" trn2 v31.2d, v11.2d, v15.2d \n\t"
" ld1r {v14.2d}, [x4] \n\t" // Reload alpha & beta (value).
" ld1r {v15.2d}, [x8] \n\t"
DLOADC_4V_R_FWD(0,1,2,3,x1,0,x6)
DLOADC_4V_R_FWD(4,5,6,7,x1,0,x6)
DSCALE8V(0,1,2,3,4,5,6,7,15,0)
DSCALEA8V(0,1,2,3,4,5,6,7,16,17,18,19,20,21,22,23,14,0)
//
DLOADC_4V_R_FWD(16,17,18,19,x1,0,x6)
DLOADC_4V_R_FWD(20,21,22,23,x1,0,x6)
DSCALE8V(16,17,18,19,20,21,22,23,15,0)
DSCALEA8V(16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,14,0)
//
DSTOREC_4V_R_FWD(0,1,2,3,x5,0,x6)
DSTOREC_4V_R_FWD(4,5,6,7,x5,0,x6)
DSTOREC_4V_R_FWD(16,17,18,19,x5,0,x6)
DSTOREC_4V_R_FWD(20,21,22,23,x5,0,x6)
//
// End of this microkernel.
LABEL(END_WRITE_MEM)
" \n\t"
" subs x12, x12, #1 \n\t"
BEQ(END_EXEC)
" \n\t"
" mov x8, #8 \n\t"
" madd x13, x6, x8, x13 \n\t" // Forward C's base address to the next logic panel.
" add x10, x10, x11 \n\t" // Forward A's base address to the next logic panel.
BRANCH(MILLIKER_MLOOP)
//
// End of execution.
LABEL(END_EXEC)
:
: [a] "m" (a),
[b] "m" (b),
[c] "m" (c),
[rs_a] "m" (rs_a),
[cs_a] "m" (cs_a),
[ps_a] "m" (ps_a),
[rs_b] "m" (rs_b),
[rs_c] "m" (rs_c),
[cs_c] "m" (cs_c),
[m_iter] "m" (m_iter),
[k_mker] "m" (k_mker),
[k_left] "m" (k_left),
[alpha] "m" (alpha),
[beta] "m" (beta)
: "x0", "x1", "x2", "x3", "x4", "x5", "x6", "x7",
"x8", "x9", "x10","x11","x12","x13","x14",
"v0", "v1", "v2", "v3", "v4", "v5", "v6", "v7",
"v8", "v9", "v10","v11","v12","v13","v14","v15",
"v16","v17","v18","v19","v20","v21","v22","v23",
"v24","v25","v26","v27","v28","v29","v30","v31"
);
consider_edge_cases:
// TODO: Implement.
//
// Issue prefetch instructions only after
// execution is done.
__asm__
(
" mov x0, %[a_next] \n\t"
" mov x1, %[b_next] \n\t"
" prfm PLDL1STRM, [x0, #16*0] \n\t"
" prfm PLDL1STRM, [x0, #16*1] \n\t"
" prfm PLDL1STRM, [x0, #16*2] \n\t"
" prfm PLDL1KEEP, [x1, #16*0] \n\t"
" prfm PLDL1KEEP, [x1, #16*1] \n\t"
" prfm PLDL1KEEP, [x1, #16*2] \n\t"
:
: [a_next] "r" (a_next),
[b_next] "r" (b_next)
: "x0", "x1"
);
}