[FFmpeg-devel] [PATCH] avfilter: add limiter filter

James Almer jamrial at gmail.com
Thu Jul 6 16:50:44 EEST 2017


On 7/6/2017 7:12 AM, Paul B Mahol wrote:
> On 7/4/17, Paul B Mahol <onemda at gmail.com> wrote:
>> Signed-off-by: Paul B Mahol <onemda at gmail.com>
>> ---
>>  doc/filters.texi                  |  17 +++
>>  libavfilter/Makefile              |   1 +
>>  libavfilter/allfilters.c          |   1 +
>>  libavfilter/limiter.h             |  33 ++++++
>>  libavfilter/vf_limiter.c          | 228
>> ++++++++++++++++++++++++++++++++++++++
>>  libavfilter/x86/Makefile          |   2 +
>>  libavfilter/x86/vf_limiter.asm    |  84 ++++++++++++++
>>  libavfilter/x86/vf_limiter_init.c |  44 ++++++++
>>  8 files changed, 410 insertions(+)
>>  create mode 100644 libavfilter/limiter.h
>>  create mode 100644 libavfilter/vf_limiter.c
>>  create mode 100644 libavfilter/x86/vf_limiter.asm
>>  create mode 100644 libavfilter/x86/vf_limiter_init.c
>>
>> diff --git a/doc/filters.texi b/doc/filters.texi
>> index 930ca4c..dbf0fc1 100644
>> --- a/doc/filters.texi
>> +++ b/doc/filters.texi
>> @@ -9639,6 +9639,23 @@ The formula that generates the correction is:
>>  where @var{r_0} is halve of the image diagonal and @var{r_src} and
>> @var{r_tgt} are the
>>  distances from the focal point in the source and target images,
>> respectively.
>>
>> + at section limiter
>> +
>> +Limits the pixel components values to the specified range [min, max].
>> +
>> +The filter accepts the following options:
>> +
>> + at table @option
>> + at item min
>> +Lower bound. Defaults to the lowest allowed value for the input.
>> +
>> + at item max
>> +Upper bound. Defaults to the highest allowed value for the input.
>> +
>> + at item planes
>> +Specify which planes will be processed.
>> + at end table
>> +
>>  @section loop
>>
>>  Loop video frames.
>> diff --git a/libavfilter/Makefile b/libavfilter/Makefile
>> index f023a0d..4d85f65 100644
>> --- a/libavfilter/Makefile
>> +++ b/libavfilter/Makefile
>> @@ -216,6 +216,7 @@ OBJS-$(CONFIG_INTERLACE_FILTER)              +=
>> vf_interlace.o
>>  OBJS-$(CONFIG_INTERLEAVE_FILTER)             += f_interleave.o
>>  OBJS-$(CONFIG_KERNDEINT_FILTER)              += vf_kerndeint.o
>>  OBJS-$(CONFIG_LENSCORRECTION_FILTER)         += vf_lenscorrection.o
>> +OBJS-$(CONFIG_LIMITER_FILTER)                += vf_limiter.o
>>  OBJS-$(CONFIG_LOOP_FILTER)                   += f_loop.o
>>  OBJS-$(CONFIG_LUMAKEY_FILTER)                += vf_lumakey.o
>>  OBJS-$(CONFIG_LUT_FILTER)                    += vf_lut.o
>> diff --git a/libavfilter/allfilters.c b/libavfilter/allfilters.c
>> index c1c5233..0a990ca 100644
>> --- a/libavfilter/allfilters.c
>> +++ b/libavfilter/allfilters.c
>> @@ -228,6 +228,7 @@ static void register_all(void)
>>      REGISTER_FILTER(INTERLEAVE,     interleave,     vf);
>>      REGISTER_FILTER(KERNDEINT,      kerndeint,      vf);
>>      REGISTER_FILTER(LENSCORRECTION, lenscorrection, vf);
>> +    REGISTER_FILTER(LIMITER,        limiter,        vf);
>>      REGISTER_FILTER(LOOP,           loop,           vf);
>>      REGISTER_FILTER(LUMAKEY,        lumakey,        vf);
>>      REGISTER_FILTER(LUT,            lut,            vf);
>> diff --git a/libavfilter/limiter.h b/libavfilter/limiter.h
>> new file mode 100644
>> index 0000000..54d423d
>> --- /dev/null
>> +++ b/libavfilter/limiter.h
>> @@ -0,0 +1,33 @@
>> +/*
>> + * This file is part of FFmpeg.
>> + *
>> + * FFmpeg 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.
>> + *
>> + * FFmpeg 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 FFmpeg; if not, write to the Free Software
>> + * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301
>> USA
>> + */
>> +
>> +#ifndef AVFILTER_LIMITER_H
>> +#define AVFILTER_LIMITER_H
>> +
>> +#include <stddef.h>
>> +#include <stdint.h>
>> +
>> +typedef struct LimiterDSPContext {
>> +    void (*limiter)(const uint8_t *src, uint8_t *dst,
>> +                    ptrdiff_t slinesize, ptrdiff_t dlinesize,
>> +                    int w, int h, int min, int max);
>> +} LimiterDSPContext;
>> +
>> +void ff_limiter_init_x86(LimiterDSPContext *dsp, int bpp);
>> +
>> +#endif /* AVFILTER_LIMITER_H */
>> diff --git a/libavfilter/vf_limiter.c b/libavfilter/vf_limiter.c
>> new file mode 100644
>> index 0000000..d6f5745
>> --- /dev/null
>> +++ b/libavfilter/vf_limiter.c
>> @@ -0,0 +1,228 @@
>> +/*
>> + * This file is part of FFmpeg.
>> + *
>> + * FFmpeg 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.
>> + *
>> + * FFmpeg 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 FFmpeg; if not, write to the Free Software
>> + * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301
>> USA
>> + */
>> +
>> +#include "libavutil/attributes.h"
>> +#include "libavutil/common.h"
>> +#include "libavutil/eval.h"
>> +#include "libavutil/imgutils.h"
>> +#include "libavutil/opt.h"
>> +#include "libavutil/pixdesc.h"
>> +#include "avfilter.h"
>> +#include "formats.h"
>> +#include "internal.h"
>> +#include "limiter.h"
>> +#include "video.h"
>> +
>> +typedef struct LimiterContext {
>> +    const AVClass *class;
>> +    int min;
>> +    int max;
>> +    int planes;
>> +    int nb_planes;
>> +    int linesize[4];
>> +    int width[4];
>> +    int height[4];
>> +
>> +    LimiterDSPContext dsp;
>> +} LimiterContext;
>> +
>> +#define OFFSET(x) offsetof(LimiterContext, x)
>> +#define FLAGS AV_OPT_FLAG_FILTERING_PARAM|AV_OPT_FLAG_VIDEO_PARAM
>> +
>> +static const AVOption limiter_options[] = {
>> +    { "min",    "set min value", OFFSET(min),    AV_OPT_TYPE_INT, {.i64=0},
>>     0, 65535, .flags = FLAGS },
>> +    { "max",    "set max value", OFFSET(max),    AV_OPT_TYPE_INT,
>> {.i64=65535}, 0, 65535, .flags = FLAGS },
>> +    { "planes", "set planes",    OFFSET(planes), AV_OPT_TYPE_INT,
>> {.i64=15},    0, 65535, .flags = FLAGS },
>> +    { NULL }
>> +};
>> +
>> +AVFILTER_DEFINE_CLASS(limiter);
>> +
>> +static av_cold int init(AVFilterContext *ctx)
>> +{
>> +    LimiterContext *s = ctx->priv;
>> +
>> +    if (s->min > s->max)
>> +        return AVERROR(EINVAL);
>> +    return 0;
>> +}
>> +
>> +static int query_formats(AVFilterContext *ctx)
>> +{
>> +    static const enum AVPixelFormat pix_fmts[] = {
>> +        AV_PIX_FMT_YUVA444P, AV_PIX_FMT_YUV444P, AV_PIX_FMT_YUV440P,
>> +        AV_PIX_FMT_YUVJ444P, AV_PIX_FMT_YUVJ440P,
>> +        AV_PIX_FMT_YUVA422P, AV_PIX_FMT_YUV422P, AV_PIX_FMT_YUVA420P,
>> AV_PIX_FMT_YUV420P,
>> +        AV_PIX_FMT_YUVJ422P, AV_PIX_FMT_YUVJ420P,
>> +        AV_PIX_FMT_YUVJ411P, AV_PIX_FMT_YUV411P, AV_PIX_FMT_YUV410P,
>> +        AV_PIX_FMT_YUV420P9, AV_PIX_FMT_YUV422P9, AV_PIX_FMT_YUV444P9,
>> +        AV_PIX_FMT_YUV420P10, AV_PIX_FMT_YUV422P10, AV_PIX_FMT_YUV444P10,
>> +        AV_PIX_FMT_YUV420P12, AV_PIX_FMT_YUV422P12, AV_PIX_FMT_YUV444P12,
>> AV_PIX_FMT_YUV440P12,
>> +        AV_PIX_FMT_YUV420P14, AV_PIX_FMT_YUV422P14, AV_PIX_FMT_YUV444P14,
>> +        AV_PIX_FMT_YUV420P16, AV_PIX_FMT_YUV422P16, AV_PIX_FMT_YUV444P16,
>> +        AV_PIX_FMT_YUVA420P9, AV_PIX_FMT_YUVA422P9, AV_PIX_FMT_YUVA444P9,
>> +        AV_PIX_FMT_YUVA420P10, AV_PIX_FMT_YUVA422P10,
>> AV_PIX_FMT_YUVA444P10,
>> +        AV_PIX_FMT_YUVA420P16, AV_PIX_FMT_YUVA422P16,
>> AV_PIX_FMT_YUVA444P16,
>> +        AV_PIX_FMT_GBRP, AV_PIX_FMT_GBRP9, AV_PIX_FMT_GBRP10,
>> +        AV_PIX_FMT_GBRP12, AV_PIX_FMT_GBRP14, AV_PIX_FMT_GBRP16,
>> +        AV_PIX_FMT_GBRAP, AV_PIX_FMT_GBRAP12, AV_PIX_FMT_GBRAP16,
>> +        AV_PIX_FMT_GRAY8, AV_PIX_FMT_GRAY10, AV_PIX_FMT_GRAY12,
>> AV_PIX_FMT_GRAY16,
>> +        AV_PIX_FMT_NONE
>> +    };
>> +
>> +    AVFilterFormats *fmts_list = ff_make_format_list(pix_fmts);
>> +    if (!fmts_list)
>> +        return AVERROR(ENOMEM);
>> +    return ff_set_common_formats(ctx, fmts_list);
>> +}
>> +
>> +static void limiter8(const uint8_t *src, uint8_t *dst,
>> +                     ptrdiff_t slinesize, ptrdiff_t dlinesize,
>> +                     int w, int h, int min, int max)
>> +{
>> +    int x, y;
>> +
>> +    for (y = 0; y < h; y++) {
>> +        for (x = 0; x < w; x++) {
>> +            dst[x] = av_clip(src[x], min, max);
>> +        }
>> +
>> +        dst += dlinesize;
>> +        src += slinesize;
>> +    }
>> +}
>> +
>> +static void limiter16(const uint8_t *ssrc, uint8_t *ddst,
>> +                      ptrdiff_t slinesize, ptrdiff_t dlinesize,
>> +                      int w, int h, int min, int max)
>> +{
>> +    const uint16_t *src = (const uint16_t *)ssrc;
>> +    uint16_t *dst = (uint16_t *)ddst;
>> +    int x, y;
>> +
>> +    dlinesize /= 2;
>> +    slinesize /= 2;
>> +
>> +    for (y = 0; y < h; y++) {
>> +        for (x = 0; x < w; x++) {
>> +            dst[x] = av_clip(src[x], min, max);
>> +        }
>> +
>> +        dst += dlinesize;
>> +        src += slinesize;
>> +    }
>> +}
>> +
>> +static int config_props(AVFilterLink *inlink)
>> +{
>> +    AVFilterContext *ctx = inlink->dst;
>> +    LimiterContext *s = ctx->priv;
>> +    const AVPixFmtDescriptor *desc = av_pix_fmt_desc_get(inlink->format);
>> +    int vsub, hsub, ret;
>> +
>> +    s->nb_planes = av_pix_fmt_count_planes(inlink->format);
>> +
>> +    if ((ret = av_image_fill_linesizes(s->linesize, inlink->format,
>> inlink->w)) < 0)
>> +        return ret;
>> +
>> +    hsub = desc->log2_chroma_w;
>> +    vsub = desc->log2_chroma_h;
>> +    s->height[1] = s->height[2] = AV_CEIL_RSHIFT(inlink->h, vsub);
>> +    s->height[0] = s->height[3] = inlink->h;
>> +    s->width[1]  = s->width[2]  = AV_CEIL_RSHIFT(inlink->w, hsub);
>> +    s->width[0]  = s->width[3]  = inlink->w;
>> +
>> +    if (desc->comp[0].depth == 8)
>> +        s->dsp.limiter = limiter8;
>> +    else
>> +        s->dsp.limiter = limiter16;
>> +
>> +    if (ARCH_X86)
>> +        ff_limiter_init_x86(&s->dsp, desc->comp[0].depth);
>> +
>> +    return 0;
>> +}
>> +
>> +static int filter_frame(AVFilterLink *inlink, AVFrame *in)
>> +{
>> +    AVFilterContext *ctx = inlink->dst;
>> +    LimiterContext *s = ctx->priv;
>> +    AVFilterLink *outlink = ctx->outputs[0];
>> +    AVFrame *out;
>> +    int p;
>> +
>> +    if (av_frame_is_writable(in)) {
>> +        out = in;
>> +    } else {
>> +        out = ff_get_video_buffer(outlink, outlink->w, outlink->h);
>> +        if (!out) {
>> +            av_frame_free(&in);
>> +            return AVERROR(ENOMEM);
>> +        }
>> +        av_frame_copy_props(out, in);
>> +    }
>> +
>> +    for (p = 0; p < s->nb_planes; p++) {
>> +        if (!((1 << p) & s->planes)) {
>> +            if (out != in)
>> +                av_image_copy_plane(out->data[p], out->linesize[p],
>> in->data[p], in->linesize[p],
>> +                                    s->linesize[p], s->height[p]);
>> +            continue;
>> +        }
>> +
>> +        s->dsp.limiter(in->data[p], out->data[p],
>> +                       in->linesize[p], out->linesize[p],
>> +                       s->width[p], s->height[p],
>> +                       s->min, s->max);
>> +    }
>> +
>> +    if (out != in)
>> +        av_frame_free(&in);
>> +
>> +    return ff_filter_frame(outlink, out);
>> +}
>> +
>> +static const AVFilterPad inputs[] = {
>> +    {
>> +        .name         = "default",
>> +        .type         = AVMEDIA_TYPE_VIDEO,
>> +        .filter_frame = filter_frame,
>> +        .config_props = config_props,
>> +    },
>> +    { NULL }
>> +};
>> +
>> +static const AVFilterPad outputs[] = {
>> +    {
>> +        .name = "default",
>> +        .type = AVMEDIA_TYPE_VIDEO,
>> +    },
>> +    { NULL }
>> +};
>> +
>> +AVFilter ff_vf_limiter = {
>> +    .name          = "limiter",
>> +    .description   = NULL_IF_CONFIG_SMALL("Limit pixels components to the
>> specified range."),
>> +    .priv_size     = sizeof(LimiterContext),
>> +    .priv_class    = &limiter_class,
>> +    .init          = init,
>> +    .query_formats = query_formats,
>> +    .inputs        = inputs,
>> +    .outputs       = outputs,
>> +    .flags         = AVFILTER_FLAG_SUPPORT_TIMELINE_GENERIC,
>> +};
>> diff --git a/libavfilter/x86/Makefile b/libavfilter/x86/Makefile
>> index f598ceb..3431625 100644
>> --- a/libavfilter/x86/Makefile
>> +++ b/libavfilter/x86/Makefile
>> @@ -8,6 +8,7 @@ OBJS-$(CONFIG_GRADFUN_FILTER)                +=
>> x86/vf_gradfun_init.o
>>  OBJS-$(CONFIG_HQDN3D_FILTER)                 += x86/vf_hqdn3d_init.o
>>  OBJS-$(CONFIG_IDET_FILTER)                   += x86/vf_idet_init.o
>>  OBJS-$(CONFIG_INTERLACE_FILTER)              += x86/vf_interlace_init.o
>> +OBJS-$(CONFIG_LIMITER_FILTER)                += x86/vf_limiter_init.o
>>  OBJS-$(CONFIG_MASKEDMERGE_FILTER)            += x86/vf_maskedmerge_init.o
>>  OBJS-$(CONFIG_NOISE_FILTER)                  += x86/vf_noise.o
>>  OBJS-$(CONFIG_PP7_FILTER)                    += x86/vf_pp7_init.o
>> @@ -33,6 +34,7 @@ X86ASM-OBJS-$(CONFIG_GRADFUN_FILTER)         +=
>> x86/vf_gradfun.o
>>  X86ASM-OBJS-$(CONFIG_HQDN3D_FILTER)          += x86/vf_hqdn3d.o
>>  X86ASM-OBJS-$(CONFIG_IDET_FILTER)            += x86/vf_idet.o
>>  X86ASM-OBJS-$(CONFIG_INTERLACE_FILTER)       += x86/vf_interlace.o
>> +X86ASM-OBJS-$(CONFIG_LIMITER_FILTER)         += x86/vf_limiter.o
>>  X86ASM-OBJS-$(CONFIG_MASKEDMERGE_FILTER)     += x86/vf_maskedmerge.o
>>  X86ASM-OBJS-$(CONFIG_PP7_FILTER)             += x86/vf_pp7.o
>>  X86ASM-OBJS-$(CONFIG_PSNR_FILTER)            += x86/vf_psnr.o
>> diff --git a/libavfilter/x86/vf_limiter.asm
>> b/libavfilter/x86/vf_limiter.asm
>> new file mode 100644
>> index 0000000..9e7271be
>> --- /dev/null
>> +++ b/libavfilter/x86/vf_limiter.asm
>> @@ -0,0 +1,84 @@
>> +;*****************************************************************************
>> +;* x86-optimized functions for limiter filter
>> +;*
>> +;* This file is part of FFmpeg.
>> +;*
>> +;* FFmpeg 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.
>> +;*
>> +;* FFmpeg 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 FFmpeg; if not, write to the Free Software
>> +;* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301
>> USA
>> +;******************************************************************************
>> +
>> +%include "libavutil/x86/x86util.asm"
>> +
>> +%if ARCH_X86_64
>> +
>> +SECTION_RODATA
>> +
>> +pb_0: times 16 db 0
>> +
>> +SECTION .text
>> +
>> +INIT_XMM sse2
>> +
>> +cglobal limiter_8bit, 8, 9, 3, src, dst, slinesize, dlinesize, w, h, min,
>> max, x
>> +    movsxdifnidn wq, wd
>> +    add        srcq, wq
>> +    add        dstq, wq
>> +    neg          wq
>> +    SPLATB_REG   m1, min, [pb_0]
>> +    SPLATB_REG   m2, max, [pb_0]
>> +.nextrow:
>> +    mov          xq, wq
>> +
>> +    .loop:
>> +        movu           m0, [srcq + xq]
>> +        CLIPUB         m0, m1, m2
>> +        mova    [dstq+xq], m0
>> +        add            xq, mmsize
>> +    jl .loop
>> +
>> +    add        srcq, slinesizeq
>> +    add        dstq, dlinesizeq
>> +    sub        hd, 1
>> +    jg .nextrow
>> +    ret
>> +
>> +INIT_XMM sse4
>> +
>> +cglobal limiter_16bit, 8, 9, 3, src, dst, slinesize, dlinesize, w, h, min,
>> max, x
>> +    shl          wd, 1
>> +    add        srcq, wq
>> +    add        dstq, wq
>> +    neg          wq
>> +    movd         m1, mind
>> +    SPLATW       m1, m1
>> +    movd         m2, maxd
>> +    SPLATW       m2, m2
>> +.nextrow:
>> +    mov          xq, wq
>> +
>> +    .loop:
>> +        movu           m0, [srcq + xq]
>> +        pmaxuw         m0, m1
>> +        pminuw         m0, m2
>> +        mova    [dstq+xq], m0
>> +        add            xq, mmsize
>> +    jl .loop
>> +
>> +    add        srcq, slinesizeq
>> +    add        dstq, dlinesizeq
>> +    sub        hd, 1
>> +    jg .nextrow
>> +    ret
>> +
>> +%endif
>> diff --git a/libavfilter/x86/vf_limiter_init.c
>> b/libavfilter/x86/vf_limiter_init.c
>> new file mode 100644
>> index 0000000..ef7d20a
>> --- /dev/null
>> +++ b/libavfilter/x86/vf_limiter_init.c
>> @@ -0,0 +1,44 @@
>> +/*
>> + * This file is part of FFmpeg.
>> + *
>> + * FFmpeg 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.
>> + *
>> + * FFmpeg 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 FFmpeg; if not, write to the Free Software
>> + * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301
>> USA
>> + */
>> +
>> +#include "libavutil/x86/cpu.h"
>> +
>> +#include "libavfilter/limiter.h"
>> +
>> +void ff_limiter_8bit_sse2(const uint8_t *src, uint8_t *dst,
>> +                          ptrdiff_t slinesize, ptrdiff_t dlinesize,
>> +                          int w, int h, int min, int max);
>> +void ff_limiter_16bit_sse4(const uint8_t *src, uint8_t *dst,
>> +                           ptrdiff_t slinesize, ptrdiff_t dlinesize,
>> +                           int w, int h, int min, int max);
>> +
>> +void ff_limiter_init_x86(LimiterDSPContext *dsp, int bpp)
>> +{
>> +    int cpu_flags = av_get_cpu_flags();
>> +
>> +    if (ARCH_X86_64 && EXTERNAL_SSE2(cpu_flags)) {
>> +        if (bpp <= 8) {
>> +            dsp->limiter = ff_limiter_8bit_sse2;
>> +        }
>> +    }
>> +    if (ARCH_X86_64 && EXTERNAL_SSE4(cpu_flags)) {
>> +        if (bpp > 8) {
>> +            dsp->limiter = ff_limiter_16bit_sse4;
>> +        }
>> +    }
>> +}
>> --
>> 2.9.3
>>
>>
> 
> I gonna aplly this if there are no more comments.

Maybe some fate test would come in handy.


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