shithub: dav1d

ref: 003fa104596d3bf9ebde5874359ff5712fafb730
dir: /src/x86/cdef.asm/

View raw version
; Copyright © 2018, VideoLAN and dav1d authors
; Copyright © 2018, Two Orioles, LLC
; All rights reserved.
;
; Redistribution and use in source and binary forms, with or without
; modification, are permitted provided that the following conditions are met:
;
; 1. Redistributions of source code must retain the above copyright notice, this
;    list of conditions and the following disclaimer.
;
; 2. 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.
;
; 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 OWNER 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 "config.asm"
%include "ext/x86/x86inc.asm"

%if ARCH_X86_64

SECTION_RODATA 32
pd_47130256: dd 4, 7, 1, 3, 0, 2, 5, 6
div_table: dd 840, 420, 280, 210, 168, 140, 120, 105
           dd 420, 210, 140, 105
shufw_6543210x: db 12, 13, 10, 11, 8, 9, 6, 7, 4, 5, 2, 3, 0, 1, 14, 15
shufb_lohi: db 0, 8, 1, 9, 2, 10, 3, 11, 4, 12, 5, 13, 6, 14, 7, 15
pw_128: times 2 dw 128
pw_2048: times 2 dw 2048
tap_table: ; masks for 8 bit shifts
           db 0xFF, 0x7F, 0x3F, 0x1F, 0x0F, 0x07, 0x03, 0x01
           ; weights
           db 4, 2, 3, 3, 2, 1
           db -1 * 16 + 1, -2 * 16 + 2
           db  0 * 16 + 1, -1 * 16 + 2
           db  0 * 16 + 1,  0 * 16 + 2
           db  0 * 16 + 1,  1 * 16 + 2
           db  1 * 16 + 1,  2 * 16 + 2
           db  1 * 16 + 0,  2 * 16 + 1
           db  1 * 16 + 0,  2 * 16 + 0
           db  1 * 16 + 0,  2 * 16 - 1
           ; the last 6 are repeats of the first 6 so we don't need to & 7
           db -1 * 16 + 1, -2 * 16 + 2
           db  0 * 16 + 1, -1 * 16 + 2
           db  0 * 16 + 1,  0 * 16 + 2
           db  0 * 16 + 1,  1 * 16 + 2
           db  1 * 16 + 1,  2 * 16 + 2
           db  1 * 16 + 0,  2 * 16 + 1

SECTION .text

%macro ACCUMULATE_TAP 7 ; tap_offset, shift, mask, strength, mul_tap, w, stride
    ; load p0/p1
    movsx         offq, byte [dirq+kq+%1]       ; off1
%if %6 == 4
    movq           xm5, [stkq+offq*2+%7*0]      ; p0
    movq           xm6, [stkq+offq*2+%7*2]
    movhps         xm5, [stkq+offq*2+%7*1]
    movhps         xm6, [stkq+offq*2+%7*3]
    vinserti128     m5, xm6, 1
%else
    movu           xm5, [stkq+offq*2+%7*0]      ; p0
    vinserti128     m5, [stkq+offq*2+%7*1], 1
%endif
    neg           offq                          ; -off1
%if %6 == 4
    movq           xm6, [stkq+offq*2+%7*0]      ; p1
    movq           xm9, [stkq+offq*2+%7*2]
    movhps         xm6, [stkq+offq*2+%7*1]
    movhps         xm9, [stkq+offq*2+%7*3]
    vinserti128     m6, xm9, 1
%else
    movu           xm6, [stkq+offq*2+%7*0]      ; p1
    vinserti128     m6, [stkq+offq*2+%7*1], 1
%endif
    ; out of bounds values are set to a value that is a both a large unsigned
    ; value and a negative signed value.
    ; use signed max and unsigned min to remove them
    pmaxsw          m7, m5                      ; max after p0
    pminuw          m8, m5                      ; min after p0
    pmaxsw          m7, m6                      ; max after p1
    pminuw          m8, m6                      ; min after p1

    ; accumulate sum[m15] over p0/p1
    ; calculate difference before converting
    psubw           m5, m4                      ; diff_p0(p0 - px)
    psubw           m6, m4                      ; diff_p1(p1 - px)

    ; convert to 8-bits with signed saturation
    ; saturating to large diffs has no impact on the results
    packsswb        m5, m6

    ; group into pairs so we can accumulate using maddubsw
    pshufb          m5, m12
    pabsb           m9, m5
    psignb         m10, %5, m5
    psrlw           m5, m9, %2                  ; emulate 8-bit shift
    pand            m5, %3
    psubusb         m5, %4, m5

    ; use unsigned min since abs diff can equal 0x80
    pminub          m5, m9
    pmaddubsw       m5, m10
    paddw          m15, m5
%endmacro

%macro CDEF_FILTER 3 ; w, h, stride
INIT_YMM avx2
%if %1 != 4 || %2 != 8
cglobal cdef_filter_%1x%2, 4, 9, 16, 2 * 16 + (%2+4)*%3, \
                           dst, stride, left, top, pri, sec, stride3, dst4, edge
%else
cglobal cdef_filter_%1x%2, 4, 10, 16, 2 * 16 + (%2+4)*%3, \
                           dst, stride, left, top, pri, sec, stride3, dst4, edge
%endif
%define px rsp+2*16+2*%3
    pcmpeqw        m14, m14
    psllw          m14, 15                  ; 0x8000
    mov          edged, r8m

    ; prepare pixel buffers - body/right
%if %1 == 4
    INIT_XMM avx2
%endif
%if %2 == 8
    lea          dst4q, [dstq+strideq*4]
%endif
    lea       stride3q, [strideq*3]
    test         edgeb, 2                   ; have_right
    jz .no_right
    pmovzxbw        m1, [dstq+strideq*0]
    pmovzxbw        m2, [dstq+strideq*1]
    pmovzxbw        m3, [dstq+strideq*2]
    pmovzxbw        m4, [dstq+stride3q]
    mova     [px+0*%3], m1
    mova     [px+1*%3], m2
    mova     [px+2*%3], m3
    mova     [px+3*%3], m4
%if %2 == 8
    pmovzxbw        m1, [dst4q+strideq*0]
    pmovzxbw        m2, [dst4q+strideq*1]
    pmovzxbw        m3, [dst4q+strideq*2]
    pmovzxbw        m4, [dst4q+stride3q]
    mova     [px+4*%3], m1
    mova     [px+5*%3], m2
    mova     [px+6*%3], m3
    mova     [px+7*%3], m4
%endif
    jmp .body_done
.no_right:
%if %1 == 4
    movd           xm1, [dstq+strideq*0]
    movd           xm2, [dstq+strideq*1]
    movd           xm3, [dstq+strideq*2]
    movd           xm4, [dstq+stride3q]
    pmovzxbw       xm1, xm1
    pmovzxbw       xm2, xm2
    pmovzxbw       xm3, xm3
    pmovzxbw       xm4, xm4
    movq     [px+0*%3], xm1
    movq     [px+1*%3], xm2
    movq     [px+2*%3], xm3
    movq     [px+3*%3], xm4
%else
    pmovzxbw       xm1, [dstq+strideq*0]
    pmovzxbw       xm2, [dstq+strideq*1]
    pmovzxbw       xm3, [dstq+strideq*2]
    pmovzxbw       xm4, [dstq+stride3q]
    mova     [px+0*%3], xm1
    mova     [px+1*%3], xm2
    mova     [px+2*%3], xm3
    mova     [px+3*%3], xm4
%endif
    movd [px+0*%3+%1*2], xm14
    movd [px+1*%3+%1*2], xm14
    movd [px+2*%3+%1*2], xm14
    movd [px+3*%3+%1*2], xm14
%if %2 == 8
 %if %1 == 4
    movd           xm1, [dst4q+strideq*0]
    movd           xm2, [dst4q+strideq*1]
    movd           xm3, [dst4q+strideq*2]
    movd           xm4, [dst4q+stride3q]
    pmovzxbw       xm1, xm1
    pmovzxbw       xm2, xm2
    pmovzxbw       xm3, xm3
    pmovzxbw       xm4, xm4
    movq     [px+4*%3], xm1
    movq     [px+5*%3], xm2
    movq     [px+6*%3], xm3
    movq     [px+7*%3], xm4
 %else
    pmovzxbw       xm1, [dst4q+strideq*0]
    pmovzxbw       xm2, [dst4q+strideq*1]
    pmovzxbw       xm3, [dst4q+strideq*2]
    pmovzxbw       xm4, [dst4q+stride3q]
    mova     [px+4*%3], xm1
    mova     [px+5*%3], xm2
    mova     [px+6*%3], xm3
    mova     [px+7*%3], xm4
 %endif
    movd [px+4*%3+%1*2], xm14
    movd [px+5*%3+%1*2], xm14
    movd [px+6*%3+%1*2], xm14
    movd [px+7*%3+%1*2], xm14
%endif
.body_done:

    ; top
    DEFINE_ARGS dst, stride, left, top2, pri, sec, stride3, top1, edge
    test         edgeb, 4                    ; have_top
    jz .no_top
    mov          top1q, [top2q+0*gprsize]
    mov          top2q, [top2q+1*gprsize]
    test         edgeb, 1                    ; have_left
    jz .top_no_left
    test         edgeb, 2                    ; have_right
    jz .top_no_right
    pmovzxbw        m1, [top1q-(%1/2)]
    pmovzxbw        m2, [top2q-(%1/2)]
    movu  [px-2*%3-%1], m1
    movu  [px-1*%3-%1], m2
    jmp .top_done
.top_no_right:
    pmovzxbw        m1, [top1q-%1]
    pmovzxbw        m2, [top2q-%1]
    movu [px-2*%3-%1*2], m1
    movu [px-1*%3-%1*2], m2
    movd [px-2*%3+%1*2], xm14
    movd [px-1*%3+%1*2], xm14
    jmp .top_done
.top_no_left:
    test         edgeb, 2                   ; have_right
    jz .top_no_left_right
    pmovzxbw        m1, [top1q]
    pmovzxbw        m2, [top2q]
    mova   [px-2*%3+0], m1
    mova   [px-1*%3+0], m2
    movd   [px-2*%3-4], xm14
    movd   [px-1*%3-4], xm14
    jmp .top_done
.top_no_left_right:
%if %1 == 4
    movd           xm1, [top1q]
    pinsrd         xm1, [top2q], 1
    pmovzxbw       xm1, xm1
    movq   [px-2*%3+0], xm1
    movhps [px-1*%3+0], xm1
%else
    pmovzxbw       xm1, [top1q]
    pmovzxbw       xm2, [top2q]
    mova   [px-2*%3+0], xm1
    mova   [px-1*%3+0], xm2
%endif
    movd   [px-2*%3-4], xm14
    movd   [px-1*%3-4], xm14
    movd [px-2*%3+%1*2], xm14
    movd [px-1*%3+%1*2], xm14
    jmp .top_done
.no_top:
    movu   [px-2*%3-%1], m14
    movu   [px-1*%3-%1], m14
.top_done:

    ; left
    test         edgeb, 1                   ; have_left
    jz .no_left
    pmovzxbw       xm1, [leftq+ 0]
%if %2 == 8
    pmovzxbw       xm2, [leftq+ 8]
%endif
    movd   [px+0*%3-4], xm1
    pextrd [px+1*%3-4], xm1, 1
    pextrd [px+2*%3-4], xm1, 2
    pextrd [px+3*%3-4], xm1, 3
%if %2 == 8
    movd   [px+4*%3-4], xm2
    pextrd [px+5*%3-4], xm2, 1
    pextrd [px+6*%3-4], xm2, 2
    pextrd [px+7*%3-4], xm2, 3
%endif
    jmp .left_done
.no_left:
    movd   [px+0*%3-4], xm14
    movd   [px+1*%3-4], xm14
    movd   [px+2*%3-4], xm14
    movd   [px+3*%3-4], xm14
%if %2 == 8
    movd   [px+4*%3-4], xm14
    movd   [px+5*%3-4], xm14
    movd   [px+6*%3-4], xm14
    movd   [px+7*%3-4], xm14
%endif
.left_done:

    ; bottom
    DEFINE_ARGS dst, stride, dst8, dummy1, pri, sec, stride3, dummy3, edge
    test         edgeb, 8                   ; have_bottom
    jz .no_bottom
    lea          dst8q, [dstq+%2*strideq]
    test         edgeb, 1                   ; have_left
    jz .bottom_no_left
    test         edgeb, 2                   ; have_right
    jz .bottom_no_right
    pmovzxbw        m1, [dst8q-(%1/2)]
    pmovzxbw        m2, [dst8q+strideq-(%1/2)]
    movu   [px+(%2+0)*%3-%1], m1
    movu   [px+(%2+1)*%3-%1], m2
    jmp .bottom_done
.bottom_no_right:
    pmovzxbw        m1, [dst8q-%1]
    pmovzxbw        m2, [dst8q+strideq-%1]
    movu  [px+(%2+0)*%3-%1*2], m1
    movu  [px+(%2+1)*%3-%1*2], m2
%if %1 == 8
    movd  [px+(%2-1)*%3+%1*2], xm14                ; overwritten by previous movu
%endif
    movd  [px+(%2+0)*%3+%1*2], xm14
    movd  [px+(%2+1)*%3+%1*2], xm14
    jmp .bottom_done
.bottom_no_left:
    test          edgeb, 2                  ; have_right
    jz .bottom_no_left_right
    pmovzxbw        m1, [dst8q]
    pmovzxbw        m2, [dst8q+strideq]
    mova   [px+(%2+0)*%3+0], m1
    mova   [px+(%2+1)*%3+0], m2
    movd   [px+(%2+0)*%3-4], xm14
    movd   [px+(%2+1)*%3-4], xm14
    jmp .bottom_done
.bottom_no_left_right:
%if %1 == 4
    movd           xm1, [dst8q]
    pinsrd         xm1, [dst8q+strideq], 1
    pmovzxbw       xm1, xm1
    movq   [px+(%2+0)*%3+0], xm1
    movhps [px+(%2+1)*%3+0], xm1
%else
    pmovzxbw       xm1, [dst8q]
    pmovzxbw       xm2, [dst8q+strideq]
    mova   [px+(%2+0)*%3+0], xm1
    mova   [px+(%2+1)*%3+0], xm2
%endif
    movd   [px+(%2+0)*%3-4], xm14
    movd   [px+(%2+1)*%3-4], xm14
    movd  [px+(%2+0)*%3+%1*2], xm14
    movd  [px+(%2+1)*%3+%1*2], xm14
    jmp .bottom_done
.no_bottom:
    movu   [px+(%2+0)*%3-%1], m14
    movu   [px+(%2+1)*%3-%1], m14
.bottom_done:

    ; actual filter
    INIT_YMM avx2
    DEFINE_ARGS dst, stride, pridmp, damping, pri, secdmp, stride3, zero
%undef edged
    ; register to shuffle values into after packing
    vbroadcasti128 m12, [shufb_lohi]

    movifnidn     prid, prim
    mov       dampingd, r7m
    lzcnt      pridmpd, prid
%if UNIX64
    movd           xm0, prid
    movd           xm1, secdmpd
%endif
    lzcnt      secdmpd, secdmpm
    sub       dampingd, 31
    xor          zerod, zerod
    add        pridmpd, dampingd
    cmovl      pridmpd, zerod
    add        secdmpd, dampingd
    cmovl      secdmpd, zerod
    mov        [rsp+0], pridmpq                 ; pri_shift
    mov        [rsp+8], secdmpq                 ; sec_shift

    DEFINE_ARGS dst, stride, pridmp, table, pri, secdmp, stride3
    lea         tableq, [tap_table]
    vpbroadcastb   m13, [tableq+pridmpq]        ; pri_shift_mask
    vpbroadcastb   m14, [tableq+secdmpq]        ; sec_shift_mask

    ; pri/sec_taps[k] [4 total]
    DEFINE_ARGS dst, stride, dir, table, pri, sec, stride3
%if UNIX64
    vpbroadcastb    m0, xm0                     ; pri_strength
    vpbroadcastb    m1, xm1                     ; sec_strength
%else
    vpbroadcastb    m0, prim
    vpbroadcastb    m1, secm
%endif
    and           prid, 1
    lea           priq, [tableq+priq*2+8]       ; pri_taps
    lea           secq, [tableq+12]             ; sec_taps

    ; off1/2/3[k] [6 total] from [tapq+12+(dir+0/2/6)*2+k]
    mov           dird, r6m
    lea           dirq, [tableq+dirq*2+14]
%if %1*%2*2/mmsize > 1
 %if %1 == 4
    DEFINE_ARGS dst, stride, dir, stk, pri, sec, stride3, h, off, k
 %else
    DEFINE_ARGS dst, stride, dir, stk, pri, sec, h, off, k
 %endif
    mov             hd, %1*%2*2/mmsize
%else
    DEFINE_ARGS dst, stride, dir, stk, pri, sec, stride3, off, k
%endif
    lea           stkq, [px]
    pxor           m11, m11
%if %1*%2*2/mmsize > 1
.v_loop:
%endif
    mov             kd, 1
%if %1 == 4
    movq           xm4, [stkq+%3*0]
    movhps         xm4, [stkq+%3*1]
    movq           xm5, [stkq+%3*2]
    movhps         xm5, [stkq+%3*3]
    vinserti128     m4, xm5, 1
%else
    mova           xm4, [stkq+%3*0]             ; px
    vinserti128     m4, [stkq+%3*1], 1
%endif
    pxor           m15, m15                     ; sum
    mova            m7, m4                      ; max
    mova            m8, m4                      ; min
.k_loop:
    vpbroadcastb    m2, [priq+kq]               ; pri_taps
    vpbroadcastb    m3, [secq+kq]               ; sec_taps

    ACCUMULATE_TAP 0*2, [rsp+0], m13, m0, m2, %1, %3
    ACCUMULATE_TAP 2*2, [rsp+8], m14, m1, m3, %1, %3
    ACCUMULATE_TAP 6*2, [rsp+8], m14, m1, m3, %1, %3

    dec             kq
    jge .k_loop

    vpbroadcastd   m10, [pw_2048]
    pcmpgtw         m9, m11, m15
    paddw          m15, m9
    pmulhrsw       m15, m10
    paddw           m4, m15
    pminsw          m4, m7
    pmaxsw          m4, m8
    packuswb        m4, m4
    vextracti128   xm5, m4, 1
%if %1 == 4
    movd [dstq+strideq*0], xm4
    pextrd [dstq+strideq*1], xm4, 1
    movd [dstq+strideq*2], xm5
    pextrd [dstq+stride3q], xm5, 1
%else
    movq [dstq+strideq*0], xm4
    movq [dstq+strideq*1], xm5
%endif

%if %1*%2*2/mmsize > 1
 %define vloop_lines (mmsize/(%1*2))
    lea           dstq, [dstq+strideq*vloop_lines]
    add           stkq, %3*vloop_lines
    dec             hd
    jg .v_loop
%endif

    RET
%endmacro

CDEF_FILTER 8, 8, 32
CDEF_FILTER 4, 8, 32
CDEF_FILTER 4, 4, 32

INIT_YMM avx2
cglobal cdef_dir, 3, 4, 15, src, stride, var, stride3
    lea       stride3q, [strideq*3]
    movq           xm0, [srcq+strideq*0]
    movq           xm1, [srcq+strideq*1]
    movq           xm2, [srcq+strideq*2]
    movq           xm3, [srcq+stride3q]
    lea           srcq, [srcq+strideq*4]
    vpbroadcastq    m4, [srcq+strideq*0]
    vpbroadcastq    m5, [srcq+strideq*1]
    vpbroadcastq    m6, [srcq+strideq*2]
    vpbroadcastq    m7, [srcq+stride3q]
    vpbroadcastd    m8, [pw_128]
    pxor            m9, m9

    vpblendd        m0, m0, m7, 0xf0
    vpblendd        m1, m1, m6, 0xf0
    vpblendd        m2, m2, m5, 0xf0
    vpblendd        m3, m3, m4, 0xf0

    punpcklbw       m0, m9
    punpcklbw       m1, m9
    punpcklbw       m2, m9
    punpcklbw       m3, m9

    psubw           m0, m8
    psubw           m1, m8
    psubw           m2, m8
    psubw           m3, m8

    ; shuffle registers to generate partial_sum_diag[0-1] together
    vpermq          m7, m0, q1032
    vpermq          m6, m1, q1032
    vpermq          m5, m2, q1032
    vpermq          m4, m3, q1032

    ; start with partial_sum_hv[0-1]
    paddw           m8, m0, m1
    paddw           m9, m2, m3
    phaddw         m10, m0, m1
    phaddw         m11, m2, m3
    paddw           m8, m9
    phaddw         m10, m11
    vextracti128   xm9, m8, 1
    vextracti128  xm11, m10, 1
    paddw          xm8, xm9                 ; partial_sum_hv[1]
    phaddw        xm10, xm11                ; partial_sum_hv[0]
    vinserti128     m8, xm10, 1
    vpbroadcastd    m9, [div_table+44]
    pmaddwd         m8, m8
    pmulld          m8, m9                  ; cost6[2a-d] | cost2[a-d]

    ; create aggregates [lower half]:
    ; m9 = m0:01234567+m1:x0123456+m2:xx012345+m3:xxx01234+
    ;      m4:xxxx0123+m5:xxxxx012+m6:xxxxxx01+m7:xxxxxxx0
    ; m10=             m1:7xxxxxxx+m2:67xxxxxx+m3:567xxxxx+
    ;      m4:4567xxxx+m5:34567xxx+m6:234567xx+m7:1234567x
    ; and [upper half]:
    ; m9 = m0:xxxxxxx0+m1:xxxxxx01+m2:xxxxx012+m3:xxxx0123+
    ;      m4:xxx01234+m5:xx012345+m6:x0123456+m7:01234567
    ; m10= m0:1234567x+m1:234567xx+m2:34567xxx+m3:4567xxxx+
    ;      m4:567xxxxx+m5:67xxxxxx+m6:7xxxxxxx
    ; and then shuffle m11 [shufw_6543210x], unpcklwd, pmaddwd, pmulld, paddd

    pslldq          m9, m1, 2
    psrldq         m10, m1, 14
    pslldq         m11, m2, 4
    psrldq         m12, m2, 12
    pslldq         m13, m3, 6
    psrldq         m14, m3, 10
    paddw           m9, m11
    paddw          m10, m12
    paddw           m9, m13
    paddw          m10, m14
    pslldq         m11, m4, 8
    psrldq         m12, m4, 8
    pslldq         m13, m5, 10
    psrldq         m14, m5, 6
    paddw           m9, m11
    paddw          m10, m12
    paddw           m9, m13
    paddw          m10, m14
    pslldq         m11, m6, 12
    psrldq         m12, m6, 4
    pslldq         m13, m7, 14
    psrldq         m14, m7, 2
    paddw           m9, m11
    paddw          m10, m12
    paddw           m9, m13
    paddw          m10, m14                 ; partial_sum_diag[0/1][8-14,zero]
    vbroadcasti128 m14, [shufw_6543210x]
    vbroadcasti128 m13, [div_table+16]
    vbroadcasti128 m12, [div_table+0]
    paddw           m9, m0                  ; partial_sum_diag[0/1][0-7]
    pshufb         m10, m14
    punpckhwd      m11, m9, m10
    punpcklwd       m9, m10
    pmaddwd        m11, m11
    pmaddwd         m9, m9
    pmulld         m11, m13
    pmulld          m9, m12
    paddd           m9, m11                 ; cost0[a-d] | cost4[a-d]

    ; merge horizontally and vertically for partial_sum_alt[0-3]
    paddw          m10, m0, m1
    paddw          m11, m2, m3
    paddw          m12, m4, m5
    paddw          m13, m6, m7
    phaddw          m0, m4
    phaddw          m1, m5
    phaddw          m2, m6
    phaddw          m3, m7

    ; create aggregates [lower half]:
    ; m4 = m10:01234567+m11:x0123456+m12:xx012345+m13:xxx01234
    ; m11=              m11:7xxxxxxx+m12:67xxxxxx+m13:567xxxxx
    ; and [upper half]:
    ; m4 = m10:xxx01234+m11:xx012345+m12:x0123456+m13:01234567
    ; m11= m10:567xxxxx+m11:67xxxxxx+m12:7xxxxxxx
    ; and then pshuflw m11 3012, unpcklwd, pmaddwd, pmulld, paddd

    pslldq          m4, m11, 2
    psrldq         m11, 14
    pslldq          m5, m12, 4
    psrldq         m12, 12
    pslldq          m6, m13, 6
    psrldq         m13, 10
    paddw           m4, m10
    paddw          m11, m12
    vpbroadcastd   m12, [div_table+44]
    paddw           m5, m6
    paddw          m11, m13                 ; partial_sum_alt[3/2] right
    vbroadcasti128 m13, [div_table+32]
    paddw           m4, m5                  ; partial_sum_alt[3/2] left
    pshuflw         m5, m11, q3012
    punpckhwd       m6, m11, m4
    punpcklwd       m4, m5
    pmaddwd         m6, m6
    pmaddwd         m4, m4
    pmulld          m6, m12
    pmulld          m4, m13
    paddd           m4, m6                  ; cost7[a-d] | cost5[a-d]

    ; create aggregates [lower half]:
    ; m5 = m0:01234567+m1:x0123456+m2:xx012345+m3:xxx01234
    ; m1 =             m1:7xxxxxxx+m2:67xxxxxx+m3:567xxxxx
    ; and [upper half]:
    ; m5 = m0:xxx01234+m1:xx012345+m2:x0123456+m3:01234567
    ; m1 = m0:567xxxxx+m1:67xxxxxx+m2:7xxxxxxx
    ; and then pshuflw m1 3012, unpcklwd, pmaddwd, pmulld, paddd

    pslldq          m5, m1, 2
    psrldq          m1, 14
    pslldq          m6, m2, 4
    psrldq          m2, 12
    pslldq          m7, m3, 6
    psrldq          m3, 10
    paddw           m5, m0
    paddw           m1, m2
    paddw           m6, m7
    paddw           m1, m3                  ; partial_sum_alt[0/1] right
    paddw           m5, m6                  ; partial_sum_alt[0/1] left
    pshuflw         m0, m1, q3012
    punpckhwd       m1, m5
    punpcklwd       m5, m0
    pmaddwd         m1, m1
    pmaddwd         m5, m5
    pmulld          m1, m12
    pmulld          m5, m13
    paddd           m5, m1                  ; cost1[a-d] | cost3[a-d]

    mova           xm0, [pd_47130256+ 16]
    mova            m1, [pd_47130256]
    phaddd          m9, m8
    phaddd          m5, m4
    phaddd          m9, m5
    vpermd          m0, m9                  ; cost[0-3]
    vpermd          m1, m9                  ; cost[4-7] | cost[0-3]

    ; now find the best cost
    pmaxsd         xm2, xm0, xm1
    pshufd         xm3, xm2, q1032
    pmaxsd         xm2, xm3
    pshufd         xm3, xm2, q2301
    pmaxsd         xm2, xm3 ; best cost

    ; find the idx using minpos
    ; make everything other than the best cost negative via subtraction
    ; find the min of unsigned 16-bit ints to sort out the negative values
    psubd          xm4, xm1, xm2
    psubd          xm3, xm0, xm2
    packssdw       xm3, xm4
    phminposuw     xm3, xm3

    ; convert idx to 32-bits
    psrld          xm3, 16
    movd           eax, xm3

    ; get idx^4 complement
    vpermd          m3, m1
    psubd          xm2, xm3
    psrld          xm2, 10
    movd        [varq], xm2
    RET
%endif ; ARCH_X86_64