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;******************************************************************************
;* linear least squares model
;*
;* Copyright (c) 2013 Loren Merritt
;*
;* This file is part of Libav.
;*
;* Libav is free software; you can redistribute it and/or
;* modify it under the terms of the GNU Lesser General Public
;* License as published by the Free Software Foundation; either
;* version 2.1 of the License, or (at your option) any later version.
;*
;* Libav is distributed in the hope that it will be useful,
;* but WITHOUT ANY WARRANTY; without even the implied warranty of
;* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
;* Lesser General Public License for more details.
;*
;* You should have received a copy of the GNU Lesser General Public
;* License along with Libav; if not, write to the Free Software
;* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
;******************************************************************************
%include "x86util.asm"
SECTION .text
%define MAX_VARS 32
%define MAX_VARS_ALIGN (MAX_VARS+4)
%define COVAR_STRIDE MAX_VARS_ALIGN*8
%define COVAR(x,y) [covarq + (x)*8 + (y)*COVAR_STRIDE]
struc LLSModel
.covariance: resq MAX_VARS_ALIGN*MAX_VARS_ALIGN
.coeff: resq MAX_VARS*MAX_VARS
.variance: resq MAX_VARS
.indep_count: resd 1
endstruc
%macro ADDPD_MEM 2
%if cpuflag(avx)
vaddpd %2, %2, %1
%else
addpd %2, %1
%endif
mova %1, %2
%endmacro
INIT_XMM sse2
%define movdqa movaps
cglobal update_lls, 2,5,8, ctx, var, i, j, covar2
%define covarq ctxq
mov id, [ctxq + LLSModel.indep_count]
lea varq, [varq + iq*8]
neg iq
mov covar2q, covarq
.loopi:
; Compute all 3 pairwise products of a 2x2 block that lies on the diagonal
mova m1, [varq + iq*8]
mova m3, [varq + iq*8 + 16]
pshufd m4, m1, q1010
pshufd m5, m1, q3232
pshufd m6, m3, q1010
pshufd m7, m3, q3232
mulpd m0, m1, m4
mulpd m1, m1, m5
lea covarq, [covar2q + 16]
ADDPD_MEM COVAR(-2,0), m0
ADDPD_MEM COVAR(-2,1), m1
lea jq, [iq + 2]
cmp jd, -2
jg .skip4x4
.loop4x4:
; Compute all 16 pairwise products of a 4x4 block
mulpd m0, m4, m3
mulpd m1, m5, m3
mulpd m2, m6, m3
mulpd m3, m3, m7
ADDPD_MEM COVAR(0,0), m0
ADDPD_MEM COVAR(0,1), m1
ADDPD_MEM COVAR(0,2), m2
ADDPD_MEM COVAR(0,3), m3
mova m3, [varq + jq*8 + 16]
mulpd m0, m4, m3
mulpd m1, m5, m3
mulpd m2, m6, m3
mulpd m3, m3, m7
ADDPD_MEM COVAR(2,0), m0
ADDPD_MEM COVAR(2,1), m1
ADDPD_MEM COVAR(2,2), m2
ADDPD_MEM COVAR(2,3), m3
mova m3, [varq + jq*8 + 32]
add covarq, 32
add jq, 4
cmp jd, -2
jle .loop4x4
.skip4x4:
test jd, jd
jg .skip2x4
mulpd m4, m3
mulpd m5, m3
mulpd m6, m3
mulpd m7, m3
ADDPD_MEM COVAR(0,0), m4
ADDPD_MEM COVAR(0,1), m5
ADDPD_MEM COVAR(0,2), m6
ADDPD_MEM COVAR(0,3), m7
.skip2x4:
add iq, 4
add covar2q, 4*COVAR_STRIDE+32
cmp id, -2
jle .loopi
test id, id
jg .ret
mov jq, iq
%define covarq covar2q
.loop2x1:
movsd m0, [varq + iq*8]
movlhps m0, m0
mulpd m0, [varq + jq*8]
ADDPD_MEM COVAR(0,0), m0
inc iq
add covarq, COVAR_STRIDE
test id, id
jle .loop2x1
.ret:
REP_RET
INIT_YMM avx
cglobal update_lls, 3,6,8, ctx, var, count, i, j, count2
%define covarq ctxq
mov countd, [ctxq + LLSModel.indep_count]
lea count2d, [countq-2]
xor id, id
.loopi:
; Compute all 10 pairwise products of a 4x4 block that lies on the diagonal
mova ymm1, [varq + iq*8]
vbroadcastsd ymm4, [varq + iq*8]
vbroadcastsd ymm5, [varq + iq*8 + 8]
vbroadcastsd ymm6, [varq + iq*8 + 16]
vbroadcastsd ymm7, [varq + iq*8 + 24]
vextractf128 xmm3, ymm1, 1
vmulpd ymm0, ymm1, ymm4
vmulpd ymm1, ymm1, ymm5
vmulpd xmm2, xmm3, xmm6
vmulpd xmm3, xmm3, xmm7
ADDPD_MEM COVAR(iq ,0), ymm0
ADDPD_MEM COVAR(iq ,1), ymm1
ADDPD_MEM COVAR(iq+2,2), xmm2
ADDPD_MEM COVAR(iq+2,3), xmm3
lea jd, [iq + 4]
cmp jd, count2d
jg .skip4x4
.loop4x4:
; Compute all 16 pairwise products of a 4x4 block
mova ymm3, [varq + jq*8]
vmulpd ymm0, ymm3, ymm4
vmulpd ymm1, ymm3, ymm5
vmulpd ymm2, ymm3, ymm6
vmulpd ymm3, ymm3, ymm7
ADDPD_MEM COVAR(jq,0), ymm0
ADDPD_MEM COVAR(jq,1), ymm1
ADDPD_MEM COVAR(jq,2), ymm2
ADDPD_MEM COVAR(jq,3), ymm3
add jd, 4
cmp jd, count2d
jle .loop4x4
.skip4x4:
cmp jd, countd
jg .skip2x4
mova xmm3, [varq + jq*8]
vmulpd xmm0, xmm3, xmm4
vmulpd xmm1, xmm3, xmm5
vmulpd xmm2, xmm3, xmm6
vmulpd xmm3, xmm3, xmm7
ADDPD_MEM COVAR(jq,0), xmm0
ADDPD_MEM COVAR(jq,1), xmm1
ADDPD_MEM COVAR(jq,2), xmm2
ADDPD_MEM COVAR(jq,3), xmm3
.skip2x4:
add id, 4
add covarq, 4*COVAR_STRIDE
cmp id, count2d
jle .loopi
cmp id, countd
jg .ret
mov jd, id
.loop2x1:
vmovddup xmm0, [varq + iq*8]
vmulpd xmm0, [varq + jq*8]
ADDPD_MEM COVAR(jq,0), xmm0
inc id
add covarq, COVAR_STRIDE
cmp id, countd
jle .loop2x1
.ret:
REP_RET
INIT_XMM sse2
cglobal evaluate_lls, 3,4,2, ctx, var, order, i
; This function is often called on the same buffer as update_lls, but with
; an offset. They can't both be aligned.
; Load halves rather than movu to avoid store-forwarding stalls, since the
; input was initialized immediately prior to this function using scalar math.
%define coefsq ctxq
mov id, orderd
imul orderd, MAX_VARS
lea coefsq, [ctxq + LLSModel.coeff + orderq*8]
movsd m0, [varq]
movhpd m0, [varq + 8]
mulpd m0, [coefsq]
lea coefsq, [coefsq + iq*8]
lea varq, [varq + iq*8]
neg iq
add iq, 2
.loop:
movsd m1, [varq + iq*8]
movhpd m1, [varq + iq*8 + 8]
mulpd m1, [coefsq + iq*8]
addpd m0, m1
add iq, 2
jl .loop
jg .skip1
movsd m1, [varq + iq*8]
mulsd m1, [coefsq + iq*8]
addpd m0, m1
.skip1:
movhlps m1, m0
addsd m0, m1
%if ARCH_X86_32
movsd r0m, m0
fld qword r0m
%endif
RET
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