linux-media.vger.kernel.org archive mirror
 help / color / mirror / Atom feed
* [RFCv1 PATCH 0/8] improve colorspace support
@ 2014-11-17 14:16 Hans Verkuil
  2014-11-17 14:16 ` [RFCv1 PATCH 1/8] videodev2.h: " Hans Verkuil
                   ` (8 more replies)
  0 siblings, 9 replies; 10+ messages in thread
From: Hans Verkuil @ 2014-11-17 14:16 UTC (permalink / raw)
  To: linux-media

This patch series improves the V4L2 colorspace support. Specifically
it adds support for AdobeRGB and BT.2020 (UHDTV) colorspaces and it allows
configuring the Y'CbCr encoding and the quantization explicitly if
non-standard methods are used.

It's almost identical to the version shown during the mini-summit in Düsseldorf,
but the V4L2_QUANTIZATION_ALT_RANGE has been replaced by LIM_RANGE and
FULL_RANGE. After some more research additional YCbCr encodings have
been added as well:

- V4L2_YCBCR_ENC_BT2020NC
- V4L2_YCBCR_ENC_SYCC
- V4L2_YCBCR_ENC_SMPTE240M

The SYCC encoding was missing (I thought I could use ENC_601 for this, but
it's not quite the same) and the other two were implicitly defined via
YCBCR_ENC_DEFAULT and the current colorspace. That's a bit too magical
and these encodings should be defined explicitly.

The first three patches add the new defines and fields to the core. The 
changes are very minor.

The fourth patch completely overhauls the Colorspace chapter in the spec.
There is no point trying to read the diff, instead I've made the html
available here:

http://hverkuil.home.xs4all.nl/colorspace.html#colorspaces

The remaining patches add support for the new colorspace functionality
to the test pattern generator and the vivid driver.

Regards,

        Hans


^ permalink raw reply	[flat|nested] 10+ messages in thread

* [RFCv1 PATCH 1/8] videodev2.h: improve colorspace support
  2014-11-17 14:16 [RFCv1 PATCH 0/8] improve colorspace support Hans Verkuil
@ 2014-11-17 14:16 ` Hans Verkuil
  2014-11-17 14:16 ` [RFCv1 PATCH 2/8] v4l2-mediabus: " Hans Verkuil
                   ` (7 subsequent siblings)
  8 siblings, 0 replies; 10+ messages in thread
From: Hans Verkuil @ 2014-11-17 14:16 UTC (permalink / raw)
  To: linux-media; +Cc: Hans Verkuil

From: Hans Verkuil <hans.verkuil@cisco.com>

Add support for the new AdobeRGB and BT.2020 colorspaces as needed for
HDMI 2.0.

Add support to specify the Y'CbCr encoding and quantization range explicitly.

Signed-off-by: Hans Verkuil <hans.verkuil@cisco.com>
---
 include/uapi/linux/videodev2.h | 99 +++++++++++++++++++++++++++++++++++++-----
 1 file changed, 89 insertions(+), 10 deletions(-)

diff --git a/include/uapi/linux/videodev2.h b/include/uapi/linux/videodev2.h
index 1c2f84f..df37e0cf 100644
--- a/include/uapi/linux/videodev2.h
+++ b/include/uapi/linux/videodev2.h
@@ -178,30 +178,103 @@ enum v4l2_memory {
 
 /* see also http://vektor.theorem.ca/graphics/ycbcr/ */
 enum v4l2_colorspace {
-	/* ITU-R 601 -- broadcast NTSC/PAL */
+	/* SMPTE 170M: used for broadcast NTSC/PAL SDTV */
 	V4L2_COLORSPACE_SMPTE170M     = 1,
 
-	/* 1125-Line (US) HDTV */
+	/* Obsolete pre-1998 SMPTE 240M HDTV standard, superseded by Rec 709 */
 	V4L2_COLORSPACE_SMPTE240M     = 2,
 
-	/* HD and modern captures. */
+	/* Rec.709: used for HDTV */
 	V4L2_COLORSPACE_REC709        = 3,
 
-	/* broken BT878 extents (601, luma range 16-253 instead of 16-235) */
+	/*
+	 * Deprecated, do not use. No driver will ever return this. This was
+	 * based on a misunderstanding of the bt878 datasheet.
+	 */
 	V4L2_COLORSPACE_BT878         = 4,
 
-	/* These should be useful.  Assume 601 extents. */
+	/*
+	 * NTSC 1953 colorspace. This only makes sense when dealing with
+	 * really, really old NTSC recordings. Superseded by SMPTE 170M.
+	 */
 	V4L2_COLORSPACE_470_SYSTEM_M  = 5,
+
+	/*
+	 * EBU Tech 3213 PAL/SECAM colorspace. This only makes sense when
+	 * dealing with really old PAL/SECAM recordings. Superseded by
+	 * SMPTE 170M.
+	 */
 	V4L2_COLORSPACE_470_SYSTEM_BG = 6,
 
-	/* I know there will be cameras that send this.  So, this is
-	 * unspecified chromaticities and full 0-255 on each of the
-	 * Y'CbCr components
+	/*
+	 * Effectively shorthand for V4L2_COLORSPACE_SRGB, V4L2_YCBCR_ENC_601
+	 * and V4L2_QUANTIZATION_FULL_RANGE. To be used for (Motion-)JPEG.
 	 */
 	V4L2_COLORSPACE_JPEG          = 7,
 
-	/* For RGB colourspaces, this is probably a good start. */
+	/* For RGB colorspaces such as produces by most webcams. */
 	V4L2_COLORSPACE_SRGB          = 8,
+
+	/* AdobeRGB colorspace */
+	V4L2_COLORSPACE_ADOBERGB      = 9,
+
+	/* BT.2020 colorspace, used for UHDTV. */
+	V4L2_COLORSPACE_BT2020        = 10,
+};
+
+enum v4l2_ycbcr_encoding {
+	/*
+	 * Mapping of V4L2_YCBCR_ENC_DEFAULT to actual encodings for the
+	 * various colorspaces:
+	 *
+	 * V4L2_COLORSPACE_SMPTE170M, V4L2_COLORSPACE_470_SYSTEM_M,
+	 * V4L2_COLORSPACE_470_SYSTEM_BG, V4L2_COLORSPACE_ADOBERGB and
+	 * V4L2_COLORSPACE_JPEG: V4L2_YCBCR_ENC_601
+	 *
+	 * V4L2_COLORSPACE_REC709: V4L2_YCBCR_ENC_709
+	 *
+	 * V4L2_COLORSPACE_SRGB: V4L2_YCBCR_ENC_SYCC
+	 *
+	 * V4L2_COLORSPACE_BT2020: V4L2_YCBCR_ENC_BT2020NC
+	 *
+	 * V4L2_COLORSPACE_SMPTE240M: V4L2_YCBCR_ENC_SMPTE240M
+	 */
+	V4L2_YCBCR_ENC_DEFAULT        = 0,
+
+	/* ITU-R 601 -- SDTV */
+	V4L2_YCBCR_ENC_601            = 1,
+
+	/* Rec. 709 -- HDTV */
+	V4L2_YCBCR_ENC_709            = 2,
+
+	/* ITU-R 601/EN 61966-2-4 Extended Gamut -- SDTV */
+	V4L2_YCBCR_ENC_XV601          = 3,
+
+	/* Rec. 709/EN 61966-2-4 Extended Gamut -- HDTV */
+	V4L2_YCBCR_ENC_XV709          = 4,
+
+	/* sYCC (Y'CbCr encoding of sRGB) */
+	V4L2_YCBCR_ENC_SYCC           = 5,
+
+	/* BT.2020 Non-constant Luminance Y'CbCr */
+	V4L2_YCBCR_ENC_BT2020NC       = 6,
+
+	/* BT.2020 Constant Luminance Y'CbcCrc */
+	V4L2_YCBCR_ENC_BT2020C        = 7,
+
+	/* SMPTE 240M -- Obsolete HDTV */
+	V4L2_YCBCR_ENC_SMPTE240M      = 8,
+};
+
+enum v4l2_quantization {
+	/*
+	 * The default for R'G'B' quantization is always full range. For
+	 * Y'CbCr the quantization is always limited range, except for
+	 * SYCC, XV601, XV709 or JPEG: those are full range.
+	 */
+	V4L2_QUANTIZATION_DEFAULT     = 0,
+	V4L2_QUANTIZATION_FULL_RANGE  = 1,
+	V4L2_QUANTIZATION_LIM_RANGE   = 2,
 };
 
 enum v4l2_priority {
@@ -294,6 +367,8 @@ struct v4l2_pix_format {
 	__u32			colorspace;	/* enum v4l2_colorspace */
 	__u32			priv;		/* private data, depends on pixelformat */
 	__u32			flags;		/* format flags (V4L2_PIX_FMT_FLAG_*) */
+	__u32			ycbcr_enc;	/* enum v4l2_ycbcr_encoding */
+	__u32			quantization;	/* enum v4l2_quantization */
 };
 
 /*      Pixel format         FOURCC                          depth  Description  */
@@ -1777,6 +1852,8 @@ struct v4l2_plane_pix_format {
  * @plane_fmt:		per-plane information
  * @num_planes:		number of planes for this format
  * @flags:		format flags (V4L2_PIX_FMT_FLAG_*)
+ * @ycbcr_enc:		enum v4l2_ycbcr_encoding, Y'CbCr encoding
+ * @quantization:	enum v4l2_quantization, colorspace quantization
  */
 struct v4l2_pix_format_mplane {
 	__u32				width;
@@ -1788,7 +1865,9 @@ struct v4l2_pix_format_mplane {
 	struct v4l2_plane_pix_format	plane_fmt[VIDEO_MAX_PLANES];
 	__u8				num_planes;
 	__u8				flags;
-	__u8				reserved[10];
+	__u8				ycbcr_enc;
+	__u8				quantization;
+	__u8				reserved[8];
 } __attribute__ ((packed));
 
 /**
-- 
2.1.1


^ permalink raw reply related	[flat|nested] 10+ messages in thread

* [RFCv1 PATCH 2/8] v4l2-mediabus: improve colorspace support
  2014-11-17 14:16 [RFCv1 PATCH 0/8] improve colorspace support Hans Verkuil
  2014-11-17 14:16 ` [RFCv1 PATCH 1/8] videodev2.h: " Hans Verkuil
@ 2014-11-17 14:16 ` Hans Verkuil
  2014-11-17 14:16 ` [RFCv1 PATCH 3/8] v4l2-ioctl.c: log the new ycbcr_enc and quantization fields Hans Verkuil
                   ` (6 subsequent siblings)
  8 siblings, 0 replies; 10+ messages in thread
From: Hans Verkuil @ 2014-11-17 14:16 UTC (permalink / raw)
  To: linux-media; +Cc: Hans Verkuil

From: Hans Verkuil <hans.verkuil@cisco.com>

Add and copy the new ycbcr_enc and quantization fields.

Signed-off-by: Hans Verkuil <hans.verkuil@cisco.com>
---
 include/media/v4l2-mediabus.h      | 4 ++++
 include/uapi/linux/v4l2-mediabus.h | 6 +++++-
 2 files changed, 9 insertions(+), 1 deletion(-)

diff --git a/include/media/v4l2-mediabus.h b/include/media/v4l2-mediabus.h
index 59d7397..38d960d 100644
--- a/include/media/v4l2-mediabus.h
+++ b/include/media/v4l2-mediabus.h
@@ -94,6 +94,8 @@ static inline void v4l2_fill_pix_format(struct v4l2_pix_format *pix_fmt,
 	pix_fmt->height = mbus_fmt->height;
 	pix_fmt->field = mbus_fmt->field;
 	pix_fmt->colorspace = mbus_fmt->colorspace;
+	pix_fmt->ycbcr_enc = mbus_fmt->ycbcr_enc;
+	pix_fmt->quantization = mbus_fmt->quantization;
 }
 
 static inline void v4l2_fill_mbus_format(struct v4l2_mbus_framefmt *mbus_fmt,
@@ -104,6 +106,8 @@ static inline void v4l2_fill_mbus_format(struct v4l2_mbus_framefmt *mbus_fmt,
 	mbus_fmt->height = pix_fmt->height;
 	mbus_fmt->field = pix_fmt->field;
 	mbus_fmt->colorspace = pix_fmt->colorspace;
+	mbus_fmt->ycbcr_enc = pix_fmt->ycbcr_enc;
+	mbus_fmt->quantization = pix_fmt->quantization;
 	mbus_fmt->code = code;
 }
 
diff --git a/include/uapi/linux/v4l2-mediabus.h b/include/uapi/linux/v4l2-mediabus.h
index b1934a3..5a86d8e 100644
--- a/include/uapi/linux/v4l2-mediabus.h
+++ b/include/uapi/linux/v4l2-mediabus.h
@@ -22,6 +22,8 @@
  * @code:	data format code (from enum v4l2_mbus_pixelcode)
  * @field:	used interlacing type (from enum v4l2_field)
  * @colorspace:	colorspace of the data (from enum v4l2_colorspace)
+ * @ycbcr_enc:	YCbCr encoding of the data (from enum v4l2_ycbcr_encoding)
+ * @quantization: quantization of the data (from enum v4l2_quantization)
  */
 struct v4l2_mbus_framefmt {
 	__u32			width;
@@ -29,7 +31,9 @@ struct v4l2_mbus_framefmt {
 	__u32			code;
 	__u32			field;
 	__u32			colorspace;
-	__u32			reserved[7];
+	__u32			ycbcr_enc;
+	__u32			quantization;
+	__u32			reserved[5];
 };
 
 #ifndef __KERNEL__
-- 
2.1.1


^ permalink raw reply related	[flat|nested] 10+ messages in thread

* [RFCv1 PATCH 3/8] v4l2-ioctl.c: log the new ycbcr_enc and quantization fields
  2014-11-17 14:16 [RFCv1 PATCH 0/8] improve colorspace support Hans Verkuil
  2014-11-17 14:16 ` [RFCv1 PATCH 1/8] videodev2.h: " Hans Verkuil
  2014-11-17 14:16 ` [RFCv1 PATCH 2/8] v4l2-mediabus: " Hans Verkuil
@ 2014-11-17 14:16 ` Hans Verkuil
  2014-11-17 14:16 ` [RFCv1 PATCH 4/8] DocBook media: rewrite the Colorspace chapter Hans Verkuil
                   ` (5 subsequent siblings)
  8 siblings, 0 replies; 10+ messages in thread
From: Hans Verkuil @ 2014-11-17 14:16 UTC (permalink / raw)
  To: linux-media; +Cc: Hans Verkuil

From: Hans Verkuil <hans.verkuil@cisco.com>

Log the new ycbcr_enc and quantization fields. Note that it now
also logs the flags field for the multiplanar buffer type. This was
forgotten when the flags field was added.

Signed-off-by: Hans Verkuil <hans.verkuil@cisco.com>
---
 drivers/media/v4l2-core/v4l2-ioctl.c | 11 +++++++----
 1 file changed, 7 insertions(+), 4 deletions(-)

diff --git a/drivers/media/v4l2-core/v4l2-ioctl.c b/drivers/media/v4l2-core/v4l2-ioctl.c
index 9ccb19a..aced84d 100644
--- a/drivers/media/v4l2-core/v4l2-ioctl.c
+++ b/drivers/media/v4l2-core/v4l2-ioctl.c
@@ -257,7 +257,7 @@ static void v4l_print_format(const void *arg, bool write_only)
 		pr_cont(", width=%u, height=%u, "
 			"pixelformat=%c%c%c%c, field=%s, "
 			"bytesperline=%u, sizeimage=%u, colorspace=%d, "
-			"flags %u\n",
+			"flags %x, ycbcr_enc=%u, quantization=%u\n",
 			pix->width, pix->height,
 			(pix->pixelformat & 0xff),
 			(pix->pixelformat >>  8) & 0xff,
@@ -265,21 +265,24 @@ static void v4l_print_format(const void *arg, bool write_only)
 			(pix->pixelformat >> 24) & 0xff,
 			prt_names(pix->field, v4l2_field_names),
 			pix->bytesperline, pix->sizeimage,
-			pix->colorspace, pix->flags);
+			pix->colorspace, pix->flags, pix->ycbcr_enc,
+			pix->quantization);
 		break;
 	case V4L2_BUF_TYPE_VIDEO_CAPTURE_MPLANE:
 	case V4L2_BUF_TYPE_VIDEO_OUTPUT_MPLANE:
 		mp = &p->fmt.pix_mp;
 		pr_cont(", width=%u, height=%u, "
 			"format=%c%c%c%c, field=%s, "
-			"colorspace=%d, num_planes=%u\n",
+			"colorspace=%d, num_planes=%u, flags=%x, "
+			"ycbcr_enc=%u, quantization=%u\n",
 			mp->width, mp->height,
 			(mp->pixelformat & 0xff),
 			(mp->pixelformat >>  8) & 0xff,
 			(mp->pixelformat >> 16) & 0xff,
 			(mp->pixelformat >> 24) & 0xff,
 			prt_names(mp->field, v4l2_field_names),
-			mp->colorspace, mp->num_planes);
+			mp->colorspace, mp->num_planes, mp->flags,
+			mp->ycbcr_enc, mp->quantization);
 		for (i = 0; i < mp->num_planes; i++)
 			printk(KERN_DEBUG "plane %u: bytesperline=%u sizeimage=%u\n", i,
 					mp->plane_fmt[i].bytesperline,
-- 
2.1.1


^ permalink raw reply related	[flat|nested] 10+ messages in thread

* [RFCv1 PATCH 4/8] DocBook media: rewrite the Colorspace chapter
  2014-11-17 14:16 [RFCv1 PATCH 0/8] improve colorspace support Hans Verkuil
                   ` (2 preceding siblings ...)
  2014-11-17 14:16 ` [RFCv1 PATCH 3/8] v4l2-ioctl.c: log the new ycbcr_enc and quantization fields Hans Verkuil
@ 2014-11-17 14:16 ` Hans Verkuil
  2014-11-17 14:16 ` [RFCv1 PATCH 5/8] vivid-tpg-colors: add AdobeRGB and BT.2020 support Hans Verkuil
                   ` (4 subsequent siblings)
  8 siblings, 0 replies; 10+ messages in thread
From: Hans Verkuil @ 2014-11-17 14:16 UTC (permalink / raw)
  To: linux-media; +Cc: Hans Verkuil

From: Hans Verkuil <hans.verkuil@cisco.com>

The colorspace chapter in the V4L2 Specification was always poorly
written. This patch rewrites it, documenting the new Y'CbCr encoding
and quantization defines and going into much more detail with respect
to how colorspaces are used and what it all means.

Signed-off-by: Hans Verkuil <hans.verkuil@cisco.com>
---
 Documentation/DocBook/media/v4l/biblio.xml |   75 ++
 Documentation/DocBook/media/v4l/pixfmt.xml | 1223 +++++++++++++++++++++-------
 2 files changed, 1008 insertions(+), 290 deletions(-)

diff --git a/Documentation/DocBook/media/v4l/biblio.xml b/Documentation/DocBook/media/v4l/biblio.xml
index d2eb79e..ac32322 100644
--- a/Documentation/DocBook/media/v4l/biblio.xml
+++ b/Documentation/DocBook/media/v4l/biblio.xml
@@ -178,6 +178,65 @@ Signal - NTSC for Studio Applications"</title>
 1125-Line High-Definition Production"</title>
     </biblioentry>
 
+    <biblioentry id="srgb">
+      <abbrev>sRGB</abbrev>
+      <authorgroup>
+	<corpauthor>International Electrotechnical Commission
+(<ulink url="http://www.iec.ch">http://www.iec.ch</ulink>)</corpauthor>
+      </authorgroup>
+      <title>IEC 61966-2-1 ed1.0 "Multimedia systems and equipment - Colour measurement
+and management - Part 2-1: Colour management - Default RGB colour space - sRGB"</title>
+    </biblioentry>
+
+    <biblioentry id="sycc">
+      <abbrev>sYCC</abbrev>
+      <authorgroup>
+	<corpauthor>International Electrotechnical Commission
+(<ulink url="http://www.iec.ch">http://www.iec.ch</ulink>)</corpauthor>
+      </authorgroup>
+      <title>IEC 61966-2-1-am1 ed1.0 "Amendment 1 - Multimedia systems and equipment - Colour measurement
+and management - Part 2-1: Colour management - Default RGB colour space - sRGB"</title>
+    </biblioentry>
+
+    <biblioentry id="xvycc">
+      <abbrev>xvYCC</abbrev>
+      <authorgroup>
+	<corpauthor>International Electrotechnical Commission
+(<ulink url="http://www.iec.ch">http://www.iec.ch</ulink>)</corpauthor>
+      </authorgroup>
+      <title>IEC 61966-2-4 ed1.0 "Multimedia systems and equipment - Colour measurement
+and management - Part 2-4: Colour management - Extended-gamut YCC colour space for video
+applications - xvYCC"</title>
+    </biblioentry>
+
+    <biblioentry id="adobergb">
+      <abbrev>AdobeRGB</abbrev>
+      <authorgroup>
+	<corpauthor>Adobe Systems Incorporated (<ulink url="http://www.adobe.com">http://www.adobe.com</ulink>)</corpauthor>
+      </authorgroup>
+      <title>Adobe&copy; RGB (1998) Color Image Encoding Version 2005-05</title>
+    </biblioentry>
+
+    <biblioentry id="itu2020">
+      <abbrev>ITU&nbsp;BT.2020</abbrev>
+      <authorgroup>
+	<corpauthor>International Telecommunication Union (<ulink
+url="http://www.itu.ch">http://www.itu.ch</ulink>)</corpauthor>
+      </authorgroup>
+      <title>ITU-R Recommendation BT.2020 (08/2012) "Parameter values for ultra-high
+definition television systems for production and international programme exchange"
+</title>
+    </biblioentry>
+
+    <biblioentry id="tech3213">
+      <abbrev>EBU&nbsp;Tech&nbsp;3213</abbrev>
+      <authorgroup>
+	<corpauthor>European Broadcast Union (<ulink
+url="http://www.ebu.ch">http://www.ebu.ch</ulink>)</corpauthor>
+      </authorgroup>
+      <title>E.B.U. Standard for Chromaticity Tolerances for Studio Monitors"</title>
+    </biblioentry>
+
     <biblioentry id="iec62106">
       <abbrev>IEC&nbsp;62106</abbrev>
       <authorgroup>
@@ -266,4 +325,20 @@ in the frequency range from 87,5 to 108,0 MHz</title>
       <subtitle>Version 1, Revision 2</subtitle>
     </biblioentry>
 
+    <biblioentry id="poynton">
+      <abbrev>poynton</abbrev>
+      <authorgroup>
+	<corpauthor>Charles Poynton</corpauthor>
+      </authorgroup>
+      <title>Digital Video and HDTV, Algorithms and Interfaces</title>
+    </biblioentry>
+
+    <biblioentry id="colimg">
+      <abbrev>colimg</abbrev>
+      <authorgroup>
+	<corpauthor>Erik Reinhard et al.</corpauthor>
+      </authorgroup>
+      <title>Color Imaging: Fundamentals and Applications</title>
+    </biblioentry>
+
   </bibliography>
diff --git a/Documentation/DocBook/media/v4l/pixfmt.xml b/Documentation/DocBook/media/v4l/pixfmt.xml
index df5b23d..ff37f7c 100644
--- a/Documentation/DocBook/media/v4l/pixfmt.xml
+++ b/Documentation/DocBook/media/v4l/pixfmt.xml
@@ -296,343 +296,986 @@ in the 2-planar version or with each component in its own buffer in the
   <section id="colorspaces">
     <title>Colorspaces</title>
 
-    <para>[intro]</para>
+    <para>'Color' is a very complex concept and depends on physics, chemistry and
+biology. Just because you have three numbers that describe the 'red', 'green'
+and 'blue' components of the color of a pixel does not mean that you can accurately
+display that color. A colorspace defines what it actually <emphasis>means</emphasis>
+to have an RGB value of e.g. (255,&nbsp;0,&nbsp;0). That is, which color should be
+reproduced on the screen in a perfectly calibrated environment.</para>
 
-    <!-- See proposal by Billy Biggs, video4linux-list@redhat.com
-on 11 Oct 2002, subject: "Re: [V4L] Re: v4l2 api", and
-http://vektor.theorem.ca/graphics/ycbcr/ and
-http://www.poynton.com/notes/colour_and_gamma/ColorFAQ.html -->
+    <para>In order to do that we first need to have a good definition of
+color, i.e. some way to uniquely and unambiguously define a color so that someone
+else can reproduce it. Human color vision is trichromatic since the human eye has
+color receptors that are sensitive to three different wavelengths of light. Hence
+the need to use three numbers to describe color. Be glad you are not a mantis shrimp
+as those are sensitive to 12 different wavelengths, so instead of RGB we would be
+using the ABCDEFGHIJKL colorspace...</para>
 
-    <para>
-      <variablelist>
-	<varlistentry>
-	  <term>Gamma Correction</term>
-	  <listitem>
-	    <para>[to do]</para>
-	    <para>E'<subscript>R</subscript> = f(R)</para>
-	    <para>E'<subscript>G</subscript> = f(G)</para>
-	    <para>E'<subscript>B</subscript> = f(B)</para>
-	  </listitem>
-	</varlistentry>
-	<varlistentry>
-	  <term>Construction of luminance and color-difference
-signals</term>
-	  <listitem>
-	    <para>[to do]</para>
-	    <para>E'<subscript>Y</subscript> =
-Coeff<subscript>R</subscript> E'<subscript>R</subscript>
-+ Coeff<subscript>G</subscript> E'<subscript>G</subscript>
-+ Coeff<subscript>B</subscript> E'<subscript>B</subscript></para>
-	    <para>(E'<subscript>R</subscript> - E'<subscript>Y</subscript>) = E'<subscript>R</subscript>
-- Coeff<subscript>R</subscript> E'<subscript>R</subscript>
-- Coeff<subscript>G</subscript> E'<subscript>G</subscript>
-- Coeff<subscript>B</subscript> E'<subscript>B</subscript></para>
-	    <para>(E'<subscript>B</subscript> - E'<subscript>Y</subscript>) = E'<subscript>B</subscript>
-- Coeff<subscript>R</subscript> E'<subscript>R</subscript>
-- Coeff<subscript>G</subscript> E'<subscript>G</subscript>
-- Coeff<subscript>B</subscript> E'<subscript>B</subscript></para>
-	  </listitem>
-	</varlistentry>
-	<varlistentry>
-	  <term>Re-normalized color-difference signals</term>
-	  <listitem>
-	    <para>The color-difference signals are scaled back to unity
-range [-0.5;+0.5]:</para>
-	    <para>K<subscript>B</subscript> = 0.5 / (1 - Coeff<subscript>B</subscript>)</para>
-	    <para>K<subscript>R</subscript> = 0.5 / (1 - Coeff<subscript>R</subscript>)</para>
-	    <para>P<subscript>B</subscript> =
-K<subscript>B</subscript> (E'<subscript>B</subscript> - E'<subscript>Y</subscript>) =
-  0.5 (Coeff<subscript>R</subscript> / Coeff<subscript>B</subscript>) E'<subscript>R</subscript>
-+ 0.5 (Coeff<subscript>G</subscript> / Coeff<subscript>B</subscript>) E'<subscript>G</subscript>
-+ 0.5 E'<subscript>B</subscript></para>
-	    <para>P<subscript>R</subscript> =
-K<subscript>R</subscript> (E'<subscript>R</subscript> - E'<subscript>Y</subscript>) =
-  0.5 E'<subscript>R</subscript>
-+ 0.5 (Coeff<subscript>G</subscript> / Coeff<subscript>R</subscript>) E'<subscript>G</subscript>
-+ 0.5 (Coeff<subscript>B</subscript> / Coeff<subscript>R</subscript>) E'<subscript>B</subscript></para>
-	  </listitem>
-	</varlistentry>
-	<varlistentry>
-	  <term>Quantization</term>
-	  <listitem>
-	    <para>[to do]</para>
-	    <para>Y' = (Lum. Levels - 1) &middot; E'<subscript>Y</subscript> + Lum. Offset</para>
-	    <para>C<subscript>B</subscript> = (Chrom. Levels - 1)
-&middot; P<subscript>B</subscript> + Chrom. Offset</para>
-	    <para>C<subscript>R</subscript> = (Chrom. Levels - 1)
-&middot; P<subscript>R</subscript> + Chrom. Offset</para>
-	    <para>Rounding to the nearest integer and clamping to the range
-[0;255] finally yields the digital color components Y'CbCr
-stored in YUV images.</para>
-	  </listitem>
-	</varlistentry>
-      </variablelist>
-    </para>
+    <para>Color exists only in the eye and brain and is the result of how strongly
+color receptors are stimulated. This is based on the Spectral
+Power Distribution (SPD) which is a graph showing the intensity (radiant power)
+of the light at wavelengths covering the visible spectrum as it enters the eye.
+The science of colorimetry is about the relationship between the SPD and color as
+perceived by the human brain.</para>
 
-    <example>
-      <title>ITU-R Rec. BT.601 color conversion</title>
+    <para>Since the human eye has only three color receptors it is perfectly
+possible that different SPDs will result in the same stimulation of those receptors
+and are perceived as the same color, even though the SPD of the light is
+different.</para>
 
-      <para>Forward Transformation</para>
+   <para>In the 1920s experiments were devised to determine the relationship
+between SPDs and the perceived color and that resulted in the CIE 1931 standard
+that defines spectral weighting functions that model the perception of color.
+Specifically that standard defines functions that can take an SPD and calculate
+the stimulus for each color receptor. After some further mathematical transforms
+these stimuli are known as the <emphasis>CIE XYZ tristimulus</emphasis> values
+and these X, Y and Z values describe a color as perceived by a human unambiguously.</para>
 
-      <programlisting>
-int ER, EG, EB;         /* gamma corrected RGB input [0;255] */
-int Y1, Cb, Cr;         /* output [0;255] */
+   <para>The Y value in the CIE XYZ colorspace corresponds to luminance. Often
+the CIE XYZ colorspace is transformed to the normalized CIE xyY colorspace:</para>
 
-double r, g, b;         /* temporaries */
-double y1, pb, pr;
+   <para>x = X / (X + Y + Z)</para>
+   <para>y = Y / (X + Y + Z)</para>
 
-int
-clamp (double x)
-{
-	int r = x;      /* round to nearest */
+   <para>The x and y values are the chromaticity coordinates and can be used to
+define a color without the luminance component Y. It is very confusing to
+have such similar names for these colorspaces. Just be aware that if colors
+are specified with lower case 'x' and 'y', then the CIE xyY colorspace is
+used. Upper case refers to the CIE XYZ colorspace.</para>
 
-	if (r &lt; 0)         return 0;
-	else if (r &gt; 255)  return 255;
-	else               return r;
-}
+   <para>A monitor or TV will reproduce colors by emitting light at three
+different wavelengths, the combination of which will stimulate the color receptors
+in the eye and thus cause the perception of color. Historically these wavelengths
+were defined by the red, green and blue phosphors used in the displays. These
+<emphasis>color primaries</emphasis> are part of what defines a colorspace.</para>
 
-r = ER / 255.0;
-g = EG / 255.0;
-b = EB / 255.0;
+    <para>Different display devices will have different primaries and some
+primaries are more suitable for some display technologies than others. This has
+resulted in a variety of colorspaces that are used for different display
+technologies or uses. To define a colorspace you need to define the three
+color primaries (these are typically defined as x,&nbsp;y chromaticity coordinates
+from the CIE xyY colorspace) but also the white reference: that is the color obtained
+when all three primaries are at maximum power. This determines the relative power
+or energy of the primaries. This is usually chosen to be close to daylight which has
+been defined as the CIE D65 Illuminant.</para>
 
-y1  =  0.299  * r + 0.587 * g + 0.114  * b;
-pb  = -0.169  * r - 0.331 * g + 0.5    * b;
-pr  =  0.5    * r - 0.419 * g - 0.081  * b;
-
-Y1 = clamp (219 * y1 + 16);
-Cb = clamp (224 * pb + 128);
-Cr = clamp (224 * pr + 128);
-
-/* or shorter */
-
-y1 = 0.299 * ER + 0.587 * EG + 0.114 * EB;
-
-Y1 = clamp ( (219 / 255.0)                    *       y1  + 16);
-Cb = clamp (((224 / 255.0) / (2 - 2 * 0.114)) * (EB - y1) + 128);
-Cr = clamp (((224 / 255.0) / (2 - 2 * 0.299)) * (ER - y1) + 128);
-      </programlisting>
+    <para>To recapitulate: the CIE XYZ colorspace uniquely identifies colors.
+Other colorspaces are defined by three chromaticity coordinates defined in the
+CIE xyY colorspace. Based on those a 3x3 matrix can be constructed that
+transforms CIE XYZ colors to colors in the new colorspace.
+</para>
 
-      <para>Inverse Transformation</para>
+    <para>Both the CIE XYZ and the RGB colorspace that are derived from the
+specific chromaticity primaries are linear colorspaces. But neither the eye,
+nor display technology is linear. Doubling the values of all components in
+the linear colorspace will not be perceived as twice the intensity of the color.
+So each colorspace also defines a transfer function that takes a linear color
+component value and transforms it to the non-linear component value, which is a
+closer match to the non-linear performance of both the eye and displays. Linear
+component values are denoted RGB, non-linear are denoted as R'G'B'. In general
+colors used in graphics are all R'G'B', except in openGL which uses linear RGB.
+Special care should be taken when dealing with openGL to provide linear RGB colors
+or to use the built-in openGL support to apply the inverse transfer function.</para>
 
-      <programlisting>
-int Y1, Cb, Cr;         /* gamma pre-corrected input [0;255] */
-int ER, EG, EB;         /* output [0;255] */
+    <para>The final piece that defines a colorspace is a function that
+transforms non-linear R'G'B' to non-linear Y'CbCr. This function is determined
+by the so-called luma coefficients. There may be multiple possible Y'CbCr
+encodings allowed for the same colorspace. Many encodings of color
+prefer to use luma (Y') and chroma (CbCr) instead of R'G'B'. Since the human
+eye is more sensitive to differences in luminance than in color this encoding
+allows one to reduce the amount of color information compared to the luma
+data. Note that the luma (Y') is unrelated to the Y in the CIE XYZ colorspace.
+Also note that Y'CbCr is often called YCbCr or YUV even though these are
+strictly speaking wrong.</para>
 
-double r, g, b;         /* temporaries */
-double y1, pb, pr;
+    <para>Sometimes people confuse Y'CbCr as being a colorspace. This is not
+correct, it is just an encoding of an R'G'B' color into luma and chroma
+values. The underlying colorspace that is associated with the R'G'B' color
+is also associated with the Y'CbCr color.</para>
 
-int
-clamp (double x)
-{
-	int r = x;      /* round to nearest */
+    <para>The final step is how the RGB, R'G'B' or Y'CbCr values are
+quantized. The CIE XYZ colorspace where X, Y and Z are in the range
+[0&hellip;1] describes all colors that humans can perceive, but the transform to
+another colorspace will produce colors that are outside the [0&hellip;1] range.
+Once clamped to the [0&hellip;1] range those colors can no longer be reproduced
+in that colorspace. This clamping is what reduces the extent or gamut of the
+colorspace. How the range of [0&hellip;1] is translated to integer values in the
+range of [0&hellip;255] (or higher, depending on the color depth) is called the
+quantization. This is <emphasis>not</emphasis> part of the colorspace
+definition. In practice RGB or R'G'B' values are full range, i.e. they
+use the full [0&hellip;255] range. Y'CbCr values on the other hand are limited
+range with Y' using [16&hellip;235] and Cb and Cr using [16&hellip;240].</para>
 
-	if (r &lt; 0)         return 0;
-	else if (r &gt; 255)  return 255;
-	else               return r;
-}
+    <para>Unfortunately, in some cases limited range RGB is also used
+where the components use the range [16&hellip;235]. And full range Y'CbCr also exists
+using the [0&hellip;255] range.</para>
 
-y1 = (Y1 - 16) / 219.0;
-pb = (Cb - 128) / 224.0;
-pr = (Cr - 128) / 224.0;
+    <para>In order to correctly interpret a color you need to know the
+quantization range, whether it is R'G'B' or Y'CbCr, the used Y'CbCr encoding
+and the colorspace.
+From that information you can calculate the corresponding CIE XYZ color
+and map that again to whatever colorspace your display device uses.</para>
 
-r = 1.0 * y1 + 0     * pb + 1.402 * pr;
-g = 1.0 * y1 - 0.344 * pb - 0.714 * pr;
-b = 1.0 * y1 + 1.772 * pb + 0     * pr;
+    <para>The colorspace definition itself consists of the three
+chromaticity primaries, the white reference chromaticity, a transfer
+function and the luma coefficients needed to transform R'G'B' to Y'CbCr. While
+some colorspace standards correctly define all four, quite often the colorspace
+standard only defines some, and you have to rely on other standards for
+the missing pieces. The fact that colorspaces are often a mix of different
+standards also led to very confusing naming conventions where the name of
+a standard was used to name a colorspace when in fact that standard was
+part of various other colorspaces as well.</para>
+  </section>
 
-ER = clamp (r * 255); /* [ok? one should prob. limit y1,pb,pr] */
-EG = clamp (g * 255);
-EB = clamp (b * 255);
-      </programlisting>
-    </example>
+  <section>
+    <title>Defining Colorspaces in V4L2</title>
+    <para>In V4L2 colorspaces are defined by three values. The first is the colorspace
+identifier (&v4l2-colorspace;) which defines the chromaticities, the transfer
+function, the default Y'CbCr encoding and the default quantization method. The second
+is the Y'CbCr encoding identifier (&v4l2-ycbcr-encoding;) to specify non-standard
+Y'CbCr encodings and the third is the quantization identifier (&v4l2-quantization;)
+to specify non-standard quantization methods. Most of the time only the colorspace
+field of &v4l2-pix-format; or &v4l2-pix-format-mplane; needs to be filled in. Note
+that the default R'G'B' quantization is always full range for all colorspaces,
+so this won't be mentioned explicitly for each colorspace description.</para>
 
-    <table pgwide="1" id="v4l2-colorspace" orient="land">
-      <title>enum v4l2_colorspace</title>
-      <tgroup cols="11" align="center">
-	<colspec align="left" />
-	<colspec align="center" />
-	<colspec align="left" />
-	<colspec colname="cr" />
-	<colspec colname="cg" />
-	<colspec colname="cb" />
-	<colspec colname="wp" />
-	<colspec colname="gc" />
-	<colspec colname="lum" />
-	<colspec colname="qy" />
-	<colspec colname="qc" />
-	<spanspec namest="cr" nameend="cb" spanname="chrom" />
-	<spanspec namest="qy" nameend="qc" spanname="quant" />
-	<spanspec namest="lum" nameend="qc" spanname="spam" />
+    <table pgwide="1" frame="none" id="v4l2-colorspace">
+      <title>V4L2 Colorspaces</title>
+      <tgroup cols="2" align="left">
+	&cs-def;
 	<thead>
 	  <row>
-	    <entry morerows="1">Identifier</entry>
-	    <entry morerows="1">Value</entry>
-	    <entry morerows="1">Description</entry>
-	    <entry spanname="chrom">Chromaticities<footnote>
-		<para>The coordinates of the color primaries are
-given in the CIE system (1931)</para>
-	      </footnote></entry>
-	    <entry morerows="1">White Point</entry>
-	    <entry morerows="1">Gamma Correction</entry>
-	    <entry morerows="1">Luminance E'<subscript>Y</subscript></entry>
-	    <entry spanname="quant">Quantization</entry>
-	  </row>
-	  <row>
-	    <entry>Red</entry>
-	    <entry>Green</entry>
-	    <entry>Blue</entry>
-	    <entry>Y'</entry>
-	    <entry>Cb, Cr</entry>
+	    <entry>Identifier</entry>
+	    <entry>Details</entry>
 	  </row>
 	</thead>
 	<tbody valign="top">
 	  <row>
 	    <entry><constant>V4L2_COLORSPACE_SMPTE170M</constant></entry>
-	    <entry>1</entry>
-	    <entry>NTSC/PAL according to <xref linkend="smpte170m" />,
-<xref linkend="itu601" /></entry>
-	    <entry>x&nbsp;=&nbsp;0.630, y&nbsp;=&nbsp;0.340</entry>
-	    <entry>x&nbsp;=&nbsp;0.310, y&nbsp;=&nbsp;0.595</entry>
-	    <entry>x&nbsp;=&nbsp;0.155, y&nbsp;=&nbsp;0.070</entry>
-	    <entry>x&nbsp;=&nbsp;0.3127, y&nbsp;=&nbsp;0.3290,
-	    Illuminant D<subscript>65</subscript></entry>
-	    <entry>E' = 4.5&nbsp;I&nbsp;for&nbsp;I&nbsp;&le;0.018,
-1.099&nbsp;I<superscript>0.45</superscript>&nbsp;-&nbsp;0.099&nbsp;for&nbsp;0.018&nbsp;&lt;&nbsp;I</entry>
-	    <entry>0.299&nbsp;E'<subscript>R</subscript>
-+&nbsp;0.587&nbsp;E'<subscript>G</subscript>
-+&nbsp;0.114&nbsp;E'<subscript>B</subscript></entry>
-	    <entry>219&nbsp;E'<subscript>Y</subscript>&nbsp;+&nbsp;16</entry>
-	    <entry>224&nbsp;P<subscript>B,R</subscript>&nbsp;+&nbsp;128</entry>
+	    <entry>See <xref linkend="col-smpte-170m" />.</entry>
 	  </row>
 	  <row>
-	    <entry><constant>V4L2_COLORSPACE_SMPTE240M</constant></entry>
-	    <entry>2</entry>
-	    <entry>1125-Line (US) HDTV, see <xref
-linkend="smpte240m" /></entry>
-	    <entry>x&nbsp;=&nbsp;0.630, y&nbsp;=&nbsp;0.340</entry>
-	    <entry>x&nbsp;=&nbsp;0.310, y&nbsp;=&nbsp;0.595</entry>
-	    <entry>x&nbsp;=&nbsp;0.155, y&nbsp;=&nbsp;0.070</entry>
-	    <entry>x&nbsp;=&nbsp;0.3127, y&nbsp;=&nbsp;0.3290,
-	    Illuminant D<subscript>65</subscript></entry>
-	    <entry>E' = 4&nbsp;I&nbsp;for&nbsp;I&nbsp;&le;0.0228,
-1.1115&nbsp;I<superscript>0.45</superscript>&nbsp;-&nbsp;0.1115&nbsp;for&nbsp;0.0228&nbsp;&lt;&nbsp;I</entry>
-	    <entry>0.212&nbsp;E'<subscript>R</subscript>
-+&nbsp;0.701&nbsp;E'<subscript>G</subscript>
-+&nbsp;0.087&nbsp;E'<subscript>B</subscript></entry>
-	    <entry>219&nbsp;E'<subscript>Y</subscript>&nbsp;+&nbsp;16</entry>
-	    <entry>224&nbsp;P<subscript>B,R</subscript>&nbsp;+&nbsp;128</entry>
+	    <entry><constant>V4L2_COLORSPACE_REC709</constant></entry>
+	    <entry>See <xref linkend="col-rec709" />.</entry>
 	  </row>
 	  <row>
-	    <entry><constant>V4L2_COLORSPACE_REC709</constant></entry>
-	    <entry>3</entry>
-	    <entry>HDTV and modern devices, see <xref
-linkend="itu709" /></entry>
-	    <entry>x&nbsp;=&nbsp;0.640, y&nbsp;=&nbsp;0.330</entry>
-	    <entry>x&nbsp;=&nbsp;0.300, y&nbsp;=&nbsp;0.600</entry>
-	    <entry>x&nbsp;=&nbsp;0.150, y&nbsp;=&nbsp;0.060</entry>
-	    <entry>x&nbsp;=&nbsp;0.3127, y&nbsp;=&nbsp;0.3290,
-	    Illuminant D<subscript>65</subscript></entry>
-	    <entry>E' = 4.5&nbsp;I&nbsp;for&nbsp;I&nbsp;&le;0.018,
-1.099&nbsp;I<superscript>0.45</superscript>&nbsp;-&nbsp;0.099&nbsp;for&nbsp;0.018&nbsp;&lt;&nbsp;I</entry>
-	    <entry>0.2125&nbsp;E'<subscript>R</subscript>
-+&nbsp;0.7154&nbsp;E'<subscript>G</subscript>
-+&nbsp;0.0721&nbsp;E'<subscript>B</subscript></entry>
-	    <entry>219&nbsp;E'<subscript>Y</subscript>&nbsp;+&nbsp;16</entry>
-	    <entry>224&nbsp;P<subscript>B,R</subscript>&nbsp;+&nbsp;128</entry>
+	    <entry><constant>V4L2_COLORSPACE_SRGB</constant></entry>
+	    <entry>See <xref linkend="col-srgb" />.</entry>
 	  </row>
 	  <row>
-	    <entry><constant>V4L2_COLORSPACE_BT878</constant></entry>
-	    <entry>4</entry>
-	    <entry>Broken Bt878 extents<footnote>
-		<para>The ubiquitous Bt878 video capture chip
-quantizes E'<subscript>Y</subscript> to 238 levels, yielding a range
-of Y' = 16 &hellip; 253, unlike Rec. 601 Y' = 16 &hellip;
-235. This is not a typo in the Bt878 documentation, it has been
-implemented in silicon. The chroma extents are unclear.</para>
-	      </footnote>, <xref linkend="itu601" /></entry>
-	    <entry>?</entry>
-	    <entry>?</entry>
-	    <entry>?</entry>
-	    <entry>?</entry>
-	    <entry>?</entry>
-	    <entry>0.299&nbsp;E'<subscript>R</subscript>
-+&nbsp;0.587&nbsp;E'<subscript>G</subscript>
-+&nbsp;0.114&nbsp;E'<subscript>B</subscript></entry>
-	    <entry><emphasis>237</emphasis>&nbsp;E'<subscript>Y</subscript>&nbsp;+&nbsp;16</entry>
-	    <entry>224&nbsp;P<subscript>B,R</subscript>&nbsp;+&nbsp;128 (probably)</entry>
+	    <entry><constant>V4L2_COLORSPACE_ADOBERGB</constant></entry>
+	    <entry>See <xref linkend="col-adobergb" />.</entry>
+	  </row>
+	  <row>
+	    <entry><constant>V4L2_COLORSPACE_BT2020</constant></entry>
+	    <entry>See <xref linkend="col-bt2020" />.</entry>
+	  </row>
+	  <row>
+	    <entry><constant>V4L2_COLORSPACE_SMPTE240M</constant></entry>
+	    <entry>See <xref linkend="col-smpte-240m" />.</entry>
 	  </row>
 	  <row>
 	    <entry><constant>V4L2_COLORSPACE_470_SYSTEM_M</constant></entry>
-	    <entry>5</entry>
-	    <entry>M/NTSC<footnote>
-		<para>No identifier exists for M/PAL which uses
-the chromaticities of M/NTSC, the remaining parameters are equal to B and
-G/PAL.</para>
-	      </footnote> according to <xref linkend="itu470" />, <xref
-		linkend="itu601" /></entry>
-	    <entry>x&nbsp;=&nbsp;0.67, y&nbsp;=&nbsp;0.33</entry>
-	    <entry>x&nbsp;=&nbsp;0.21, y&nbsp;=&nbsp;0.71</entry>
-	    <entry>x&nbsp;=&nbsp;0.14, y&nbsp;=&nbsp;0.08</entry>
-	    <entry>x&nbsp;=&nbsp;0.310, y&nbsp;=&nbsp;0.316, Illuminant C</entry>
-	    <entry>?</entry>
-	    <entry>0.299&nbsp;E'<subscript>R</subscript>
-+&nbsp;0.587&nbsp;E'<subscript>G</subscript>
-+&nbsp;0.114&nbsp;E'<subscript>B</subscript></entry>
-	    <entry>219&nbsp;E'<subscript>Y</subscript>&nbsp;+&nbsp;16</entry>
-	    <entry>224&nbsp;P<subscript>B,R</subscript>&nbsp;+&nbsp;128</entry>
+	    <entry>See <xref linkend="col-sysm" />.</entry>
 	  </row>
 	  <row>
 	    <entry><constant>V4L2_COLORSPACE_470_SYSTEM_BG</constant></entry>
-	    <entry>6</entry>
-	    <entry>625-line PAL and SECAM systems according to <xref
-linkend="itu470" />, <xref linkend="itu601" /></entry>
-	    <entry>x&nbsp;=&nbsp;0.64, y&nbsp;=&nbsp;0.33</entry>
-	    <entry>x&nbsp;=&nbsp;0.29, y&nbsp;=&nbsp;0.60</entry>
-	    <entry>x&nbsp;=&nbsp;0.15, y&nbsp;=&nbsp;0.06</entry>
-	    <entry>x&nbsp;=&nbsp;0.313, y&nbsp;=&nbsp;0.329,
-Illuminant D<subscript>65</subscript></entry>
-	    <entry>?</entry>
-	    <entry>0.299&nbsp;E'<subscript>R</subscript>
-+&nbsp;0.587&nbsp;E'<subscript>G</subscript>
-+&nbsp;0.114&nbsp;E'<subscript>B</subscript></entry>
-	    <entry>219&nbsp;E'<subscript>Y</subscript>&nbsp;+&nbsp;16</entry>
-	    <entry>224&nbsp;P<subscript>B,R</subscript>&nbsp;+&nbsp;128</entry>
+	    <entry>See <xref linkend="col-sysbg" />.</entry>
 	  </row>
 	  <row>
 	    <entry><constant>V4L2_COLORSPACE_JPEG</constant></entry>
-	    <entry>7</entry>
-	    <entry>JPEG Y'CbCr, see <xref linkend="jfif" />, <xref linkend="itu601" /></entry>
-	    <entry>?</entry>
-	    <entry>?</entry>
-	    <entry>?</entry>
-	    <entry>?</entry>
-	    <entry>?</entry>
-	    <entry>0.299&nbsp;E'<subscript>R</subscript>
-+&nbsp;0.587&nbsp;E'<subscript>G</subscript>
-+&nbsp;0.114&nbsp;E'<subscript>B</subscript></entry>
-	    <entry>256&nbsp;E'<subscript>Y</subscript>&nbsp;+&nbsp;16<footnote>
-		<para>Note JFIF quantizes
-Y'P<subscript>B</subscript>P<subscript>R</subscript> in range [0;+1] and
-[-0.5;+0.5] to <emphasis>257</emphasis> levels, however Y'CbCr signals
-are still clamped to [0;255].</para>
-	      </footnote></entry>
-	    <entry>256&nbsp;P<subscript>B,R</subscript>&nbsp;+&nbsp;128</entry>
+	    <entry>See <xref linkend="col-jpeg" />.</entry>
 	  </row>
+	</tbody>
+      </tgroup>
+    </table>
+
+    <table pgwide="1" frame="none" id="v4l2-ycbcr-encoding">
+      <title>V4L2 Y'CbCr Encodings</title>
+      <tgroup cols="2" align="left">
+	&cs-def;
+	<thead>
 	  <row>
-	    <entry><constant>V4L2_COLORSPACE_SRGB</constant></entry>
-	    <entry>8</entry>
-	    <entry>[?]</entry>
-	    <entry>x&nbsp;=&nbsp;0.640, y&nbsp;=&nbsp;0.330</entry>
-	    <entry>x&nbsp;=&nbsp;0.300, y&nbsp;=&nbsp;0.600</entry>
-	    <entry>x&nbsp;=&nbsp;0.150, y&nbsp;=&nbsp;0.060</entry>
-	    <entry>x&nbsp;=&nbsp;0.3127, y&nbsp;=&nbsp;0.3290,
-	    Illuminant D<subscript>65</subscript></entry>
-	    <entry>E' = 4.5&nbsp;I&nbsp;for&nbsp;I&nbsp;&le;0.018,
-1.099&nbsp;I<superscript>0.45</superscript>&nbsp;-&nbsp;0.099&nbsp;for&nbsp;0.018&nbsp;&lt;&nbsp;I</entry>
-	    <entry spanname="spam">n/a</entry>
+	    <entry>Identifier</entry>
+	    <entry>Details</entry>
+	  </row>
+	</thead>
+	<tbody valign="top">
+	  <row>
+	    <entry><constant>V4L2_YCBCR_ENC_DEFAULT</constant></entry>
+	    <entry>Use the default Y'CbCr encoding as defined by the colorspace.</entry>
+	  </row>
+	  <row>
+	    <entry><constant>V4L2_YCBCR_ENC_601</constant></entry>
+	    <entry>Use the BT.601 Y'CbCr encoding.</entry>
+	  </row>
+	  <row>
+	    <entry><constant>V4L2_YCBCR_ENC_709</constant></entry>
+	    <entry>Use the Rec. 709 Y'CbCr encoding.</entry>
+	  </row>
+	  <row>
+	    <entry><constant>V4L2_YCBCR_ENC_XV601</constant></entry>
+	    <entry>Use the extended gamut xvYCC BT.601 encoding.</entry>
+	  </row>
+	  <row>
+	    <entry><constant>V4L2_YCBCR_ENC_XV709</constant></entry>
+	    <entry>Use the extended gamut xvYCC Rec. 709 encoding.</entry>
+	  </row>
+	  <row>
+	    <entry><constant>V4L2_YCBCR_ENC_SYCC</constant></entry>
+	    <entry>Use the extended gamut sYCC encoding.</entry>
+	  </row>
+	  <row>
+	    <entry><constant>V4L2_YCBCR_ENC_BT2020NC</constant></entry>
+	    <entry>Use the default non-constant luminance BT.2020 Y'CbCr encoding.</entry>
+	  </row>
+	  <row>
+	    <entry><constant>V4L2_YCBCR_ENC_BT2020C</constant></entry>
+	    <entry>Use the constant luminance BT.2020 Yc'CbcCrc encoding.</entry>
 	  </row>
 	</tbody>
       </tgroup>
     </table>
+
+    <table pgwide="1" frame="none" id="v4l2-quantization">
+      <title>V4L2 Quantization Methods</title>
+      <tgroup cols="2" align="left">
+	&cs-def;
+	<thead>
+	  <row>
+	    <entry>Identifier</entry>
+	    <entry>Details</entry>
+	  </row>
+	</thead>
+	<tbody valign="top">
+	  <row>
+	    <entry><constant>V4L2_QUANTIZATION_DEFAULT</constant></entry>
+	    <entry>Use the default quantization encoding as defined by the colorspace.
+This is always full range for R'G'B' and usually limited range for Y'CbCr.</entry>
+	  </row>
+	  <row>
+	    <entry><constant>V4L2_QUANTIZATION_FULL_RANGE</constant></entry>
+	    <entry>Use the full range quantization encoding. I.e. the range [0&hellip;1]
+is mapped to [0&hellip;255] (with possible clipping to [1&hellip;254] to avoid the
+0x00 and 0xff values). Cb and Cr are mapped from [-0.5&hellip;0.5] to [0&hellip;255]
+(with possible clipping to [1&hellip;254] to avoid the 0x00 and 0xff values).</entry>
+	  </row>
+	  <row>
+	    <entry><constant>V4L2_QUANTIZATION_LIM_RANGE</constant></entry>
+	    <entry>Use the limited range quantization encoding. I.e. the range [0&hellip;1]
+is mapped to [16&hellip;235]. Cb and Cr are mapped from [-0.5&hellip;0.5] to [16&hellip;240].
+</entry>
+	  </row>
+	</tbody>
+      </tgroup>
+    </table>
+  </section>
+
+  <section>
+    <title>Detailed Colorspace Descriptions</title>
+    <section>
+      <title id="col-smpte-170m">Colorspace SMPTE 170M (<constant>V4L2_COLORSPACE_SMPTE170M</constant>)</title>
+      <para>The <xref linkend="smpte170m" /> standard defines the colorspace used by NTSC and PAL and by SDTV
+in general. The default Y'CbCr encoding is <constant>V4L2_YCBCR_ENC_601</constant>.
+The default Y'CbCr quantization is limited range. The chromaticities of the primary colors and
+the white reference are:</para>
+      <table frame="none">
+        <title>SMPTE 170M Chromaticities</title>
+        <tgroup cols="3" align="left">
+          &cs-str;
+    	<thead>
+    	  <row>
+    	    <entry>Color</entry>
+    	    <entry>x</entry>
+    	    <entry>y</entry>
+    	  </row>
+    	</thead>
+          <tbody valign="top">
+            <row>
+              <entry>Red</entry>
+              <entry>0.630</entry>
+              <entry>0.340</entry>
+            </row>
+            <row>
+              <entry>Green</entry>
+              <entry>0.310</entry>
+              <entry>0.595</entry>
+            </row>
+            <row>
+              <entry>Blue</entry>
+              <entry>0.155</entry>
+              <entry>0.070</entry>
+            </row>
+            <row>
+              <entry>White Reference (D65)</entry>
+              <entry>0.3127</entry>
+              <entry>0.3290</entry>
+            </row>
+          </tbody>
+        </tgroup>
+      </table>
+      <para>The red, green and blue chromaticities are also often referred to
+as the SMPTE C set, so this colorspace is sometimes called SMPTE C as well.</para>
+      <variablelist>
+	<varlistentry>
+          <term>The transfer function defined for SMPTE 170M is the same as the
+one defined in Rec. 709. Normally L is in the range [0&hellip;1], but for the extended
+gamut xvYCC encoding values outside that range are allowed.</term>
+	  <listitem>
+            <para>L' = -1.099(-L)<superscript>0.45</superscript>&nbsp;+&nbsp;0.099&nbsp;for&nbsp;L&nbsp;&le;&nbsp;-0.018</para>
+            <para>L' = 4.5L&nbsp;for&nbsp;-0.018&nbsp;&lt;&nbsp;L&nbsp;&lt;&nbsp;0.018</para>
+            <para>L' = 1.099L<superscript>0.45</superscript>&nbsp;-&nbsp;0.099&nbsp;for&nbsp;L&nbsp;&ge;&nbsp;0.018</para>
+	  </listitem>
+	</varlistentry>
+      </variablelist>
+      <variablelist>
+	<varlistentry>
+          <term>Inverse Transfer function:</term>
+	  <listitem>
+            <para>L = -((L'&nbsp;-&nbsp;0.099)&nbsp;/&nbsp;-1.099)<superscript>1/0.45</superscript>&nbsp;for&nbsp;L'&nbsp;&le;&nbsp;-0.081</para>
+            <para>L = L'&nbsp;/&nbsp;4.5&nbsp;for&nbsp;-0.081&nbsp;&lt;&nbsp;L'&nbsp;&lt;&nbsp;0.081</para>
+            <para>L = ((L'&nbsp;+&nbsp;0.099)&nbsp;/&nbsp;1.099)<superscript>1/0.45</superscript>&nbsp;for&nbsp;L'&nbsp;&ge;&nbsp;0.081</para>
+	  </listitem>
+	</varlistentry>
+      </variablelist>
+      <variablelist>
+	<varlistentry>
+      	  <term>The luminance (Y') and color difference (Cb and Cr) are obtained with
+the following <constant>V4L2_YCBCR_ENC_601</constant> encoding:</term>
+	  <listitem>
+            <para>Y'&nbsp;=&nbsp;0.299R'&nbsp;+&nbsp;0.587G'&nbsp;+&nbsp;0.114B'</para>
+            <para>Cb&nbsp;=&nbsp;-0.169R'&nbsp;-&nbsp;0.331G'&nbsp;+&nbsp;0.5B'</para>
+            <para>Cr&nbsp;=&nbsp;0.5R'&nbsp;-&nbsp;0.419G'&nbsp;-&nbsp;0.081B'</para>
+	  </listitem>
+	</varlistentry>
+      </variablelist>
+      <para>Y' is clamped to the range [0&hellip;1] and Cb and Cr are
+clamped to the range [-0.5&hellip;0.5]. This conversion to Y'CbCr is identical to the one
+defined in the <xref linkend="itu601" /> standard and this colorspace is sometimes called BT.601 as well, even
+though BT.601 does not mention any color primaries.</para>
+      <para>The default quantization is limited range, but full range is possible although
+rarely seen.</para>
+      <para>The <constant>V4L2_YCBCR_ENC_601</constant> encoding as described above is the
+default for this colorspace, but it can be overridden with <constant>V4L2_YCBCR_ENC_709</constant>,
+in which case the Rec. 709 Y'CbCr encoding is used.</para>
+      <variablelist>
+	<varlistentry>
+      	  <term>The xvYCC 601 encoding (<constant>V4L2_YCBCR_ENC_XV601</constant>, <xref linkend="xvycc" />) is similar
+to the BT.601 encoding, but it allows for R', G' and B' values that are outside the range
+[0&hellip;1]. The resulting Y', Cb and Cr values are scaled and offset:</term>
+	  <listitem>
+            <para>Y'&nbsp;=&nbsp;(219&nbsp;/&nbsp;255)&nbsp;*&nbsp;(0.299R'&nbsp;+&nbsp;0.587G'&nbsp;+&nbsp;0.114B')&nbsp;+&nbsp;(16&nbsp;/&nbsp;255)</para>
+            <para>Cb&nbsp;=&nbsp;(224&nbsp;/&nbsp;255)&nbsp;*&nbsp;(-0.169R'&nbsp;-&nbsp;0.331G'&nbsp;+&nbsp;0.5B')</para>
+            <para>Cr&nbsp;=&nbsp;(224&nbsp;/&nbsp;255)&nbsp;*&nbsp;(0.5R'&nbsp;-&nbsp;0.419G'&nbsp;-&nbsp;0.081B')</para>
+	  </listitem>
+	</varlistentry>
+      </variablelist>
+      <para>Y' is clamped to the range [0&hellip;1] and Cb and Cr are clamped
+to the range [-0.5&hellip;0.5]. The non-standard xvYCC 709 encoding can also be used by selecting
+<constant>V4L2_YCBCR_ENC_XV709</constant>. The xvYCC encodings always use full range
+quantization.</para>
+    </section>
+
+    <section>
+      <title id="col-rec709">Colorspace Rec. 709 (<constant>V4L2_COLORSPACE_REC709</constant>)</title>
+      <para>The <xref linkend="itu709" /> standard defines the colorspace used by HDTV in general. The default
+Y'CbCr encoding is <constant>V4L2_YCBCR_ENC_709</constant>. The default Y'CbCr quantization is
+limited range. The chromaticities of the primary colors and the white reference are:</para>
+      <table frame="none">
+        <title>Rec. 709 Chromaticities</title>
+        <tgroup cols="3" align="left">
+          &cs-str;
+    	<thead>
+    	  <row>
+    	    <entry>Color</entry>
+    	    <entry>x</entry>
+    	    <entry>y</entry>
+    	  </row>
+    	</thead>
+          <tbody valign="top">
+            <row>
+              <entry>Red</entry>
+              <entry>0.640</entry>
+              <entry>0.330</entry>
+            </row>
+            <row>
+              <entry>Green</entry>
+              <entry>0.300</entry>
+              <entry>0.600</entry>
+            </row>
+            <row>
+              <entry>Blue</entry>
+              <entry>0.150</entry>
+              <entry>0.060</entry>
+            </row>
+            <row>
+              <entry>White Reference (D65)</entry>
+              <entry>0.3127</entry>
+              <entry>0.3290</entry>
+            </row>
+          </tbody>
+        </tgroup>
+      </table>
+      <para>The full name of this standard is Rec. ITU-R BT.709-5.</para>
+      <variablelist>
+	<varlistentry>
+          <term>Transfer function. Normally L is in the range [0&hellip;1], but for the extended
+gamut xvYCC encoding values outside that range are allowed.</term>
+	  <listitem>
+            <para>L' = -1.099(-L)<superscript>0.45</superscript>&nbsp;+&nbsp;0.099&nbsp;for&nbsp;L&nbsp;&le;&nbsp;-0.018</para>
+            <para>L' = 4.5L&nbsp;for&nbsp;-0.018&nbsp;&lt;&nbsp;L&nbsp;&lt;&nbsp;0.018</para>
+            <para>L' = 1.099L<superscript>0.45</superscript>&nbsp;-&nbsp;0.099&nbsp;for&nbsp;L&nbsp;&ge;&nbsp;0.018</para>
+	  </listitem>
+	</varlistentry>
+      </variablelist>
+      <variablelist>
+	<varlistentry>
+          <term>Inverse Transfer function:</term>
+	  <listitem>
+            <para>L = -((L'&nbsp;-&nbsp;0.099)&nbsp;/&nbsp;-1.099)<superscript>1/0.45</superscript>&nbsp;for&nbsp;L'&nbsp;&le;&nbsp;-0.081</para>
+            <para>L = L'&nbsp;/&nbsp;4.5&nbsp;for&nbsp;-0.081&nbsp;&lt;&nbsp;L'&nbsp;&lt;&nbsp;0.081</para>
+            <para>L = ((L'&nbsp;+&nbsp;0.099)&nbsp;/&nbsp;1.099)<superscript>1/0.45</superscript>&nbsp;for&nbsp;L'&nbsp;&ge;&nbsp;0.081</para>
+	  </listitem>
+	</varlistentry>
+      </variablelist>
+      <variablelist>
+	<varlistentry>
+      	  <term>The luminance (Y') and color difference (Cb and Cr) are obtained with the following
+<constant>V4L2_YCBCR_ENC_709</constant> encoding:</term>
+	  <listitem>
+            <para>Y'&nbsp;=&nbsp;0.2126R'&nbsp;+&nbsp;0.7152G'&nbsp;+&nbsp;0.0722B'</para>
+            <para>Cb&nbsp;=&nbsp;-0.1146R'&nbsp;-&nbsp;0.3854G'&nbsp;+&nbsp;0.5B'</para>
+            <para>Cr&nbsp;=&nbsp;0.5R'&nbsp;-&nbsp;0.4542G'&nbsp;-&nbsp;0.0458B'</para>
+	  </listitem>
+	</varlistentry>
+      </variablelist>
+      <para>Y' is clamped to the range [0&hellip;1] and Cb and Cr are
+clamped to the range [-0.5&hellip;0.5].</para>
+      <para>The default quantization is limited range, but full range is possible although
+rarely seen.</para>
+      <para>The <constant>V4L2_YCBCR_ENC_709</constant> encoding described above is the default
+for this colorspace, but it can be overridden with <constant>V4L2_YCBCR_ENC_601</constant>, in which
+case the BT.601 Y'CbCr encoding is used.</para>
+      <variablelist>
+	<varlistentry>
+      	  <term>The xvYCC 709 encoding (<constant>V4L2_YCBCR_ENC_XV709</constant>, <xref linkend="xvycc" />)
+is similar to the Rec. 709 encoding, but it allows for R', G' and B' values that are outside the range
+[0&hellip;1]. The resulting Y', Cb and Cr values are scaled and offset:</term>
+	  <listitem>
+            <para>Y'&nbsp;=&nbsp;(219&nbsp;/&nbsp;255)&nbsp;*&nbsp;(0.2126R'&nbsp;+&nbsp;0.7152G'&nbsp;+&nbsp;0.0722B')&nbsp;+&nbsp;(16&nbsp;/&nbsp;255)</para>
+            <para>Cb&nbsp;=&nbsp;(224&nbsp;/&nbsp;255)&nbsp;*&nbsp;(-0.1146R'&nbsp;-&nbsp;0.3854G'&nbsp;+&nbsp;0.5B')</para>
+            <para>Cr&nbsp;=&nbsp;(224&nbsp;/&nbsp;255)&nbsp;*&nbsp;(0.5R'&nbsp;-&nbsp;0.4542G'&nbsp;-&nbsp;0.0458B')</para>
+	  </listitem>
+	</varlistentry>
+      </variablelist>
+      <para>Y' is clamped to the range [0&hellip;1] and Cb and Cr are clamped
+to the range [-0.5&hellip;0.5]. The non-standard xvYCC 601 encoding can also be used by
+selecting <constant>V4L2_YCBCR_ENC_XV601</constant>. The xvYCC encodings always use full
+range quantization.</para>
+    </section>
+
+    <section>
+      <title id="col-srgb">Colorspace sRGB (<constant>V4L2_COLORSPACE_SRGB</constant>)</title>
+      <para>The <xref linkend="srgb" /> standard defines the colorspace used by most webcams and computer graphics. The
+default Y'CbCr encoding is <constant>V4L2_YCBCR_ENC_SYCC</constant>. The default Y'CbCr quantization
+is full range. The chromaticities of the primary colors and the white reference are:</para>
+      <table frame="none">
+        <title>sRGB Chromaticities</title>
+        <tgroup cols="3" align="left">
+          &cs-str;
+    	<thead>
+    	  <row>
+    	    <entry>Color</entry>
+    	    <entry>x</entry>
+    	    <entry>y</entry>
+    	  </row>
+    	</thead>
+          <tbody valign="top">
+            <row>
+              <entry>Red</entry>
+              <entry>0.640</entry>
+              <entry>0.330</entry>
+            </row>
+            <row>
+              <entry>Green</entry>
+              <entry>0.300</entry>
+              <entry>0.600</entry>
+            </row>
+            <row>
+              <entry>Blue</entry>
+              <entry>0.150</entry>
+              <entry>0.060</entry>
+            </row>
+            <row>
+              <entry>White Reference (D65)</entry>
+              <entry>0.3127</entry>
+              <entry>0.3290</entry>
+            </row>
+          </tbody>
+        </tgroup>
+      </table>
+      <para>These chromaticities are identical to the Rec. 709 colorspace.</para>
+      <variablelist>
+	<varlistentry>
+          <term>Transfer function. Note that negative values for L are only used by the Y'CbCr conversion.</term>
+	  <listitem>
+            <para>L' = -1.055(-L)<superscript>1/2.4</superscript>&nbsp;+&nbsp;0.055&nbsp;for&nbsp;L&nbsp;&lt;&nbsp;-0.0031308</para>
+            <para>L' = 12.92L&nbsp;for&nbsp;-0.0031308&nbsp;&le;&nbsp;L&nbsp;&le;&nbsp;0.0031308</para>
+            <para>L' = 1.055L<superscript>1/2.4</superscript>&nbsp;-&nbsp;0.055&nbsp;for&nbsp;0.0031308&nbsp;&lt;&nbsp;L&nbsp;&le;&nbsp;1</para>
+	  </listitem>
+	</varlistentry>
+	<varlistentry>
+          <term>Inverse Transfer function:</term>
+	  <listitem>
+            <para>L = -((-L'&nbsp;+&nbsp;0.055)&nbsp;/&nbsp;1.055)<superscript>2.4</superscript>&nbsp;for&nbsp;L'&nbsp;&lt;&nbsp;-0.04045</para>
+            <para>L = L'&nbsp;/&nbsp;12.92&nbsp;for&nbsp;-0.04045&nbsp;&le;&nbsp;L'&nbsp;&le;&nbsp;0.04045</para>
+            <para>L = ((L'&nbsp;+&nbsp;0.055)&nbsp;/&nbsp;1.055)<superscript>2.4</superscript>&nbsp;for&nbsp;L'&nbsp;&gt;&nbsp;0.04045</para>
+	  </listitem>
+	</varlistentry>
+      </variablelist>
+      <variablelist>
+	<varlistentry>
+      	  <term>The luminance (Y') and color difference (Cb and Cr) are obtained with the following
+<constant>V4L2_YCBCR_ENC_SYCC</constant> encoding as defined by <xref linkend="sycc" />:</term>
+	  <listitem>
+            <para>Y'&nbsp;=&nbsp;0.2990R'&nbsp;+&nbsp;0.5870G'&nbsp;+&nbsp;0.1140B'</para>
+            <para>Cb&nbsp;=&nbsp;-0.1687R'&nbsp;-&nbsp;0.3313G'&nbsp;+&nbsp;0.5B'</para>
+            <para>Cr&nbsp;=&nbsp;0.5R'&nbsp;-&nbsp;0.4187G'&nbsp;-&nbsp;0.0813B'</para>
+	  </listitem>
+	</varlistentry>
+      </variablelist>
+      <para>Y' is clamped to the range [0&hellip;1] and Cb and Cr are clamped
+to the range [-0.5&hellip;0.5]. The <constant>V4L2_YCBCR_ENC_SYCC</constant> quantization is always
+full range. Although this Y'CbCr encoding looks very similar to the <constant>V4L2_YCBCR_ENC_XV601</constant>
+encoding, it is not. The <constant>V4L2_YCBCR_ENC_XV601</constant> scales and offsets the Y'CbCr
+values before quantization, but this encoding does not do that.</para>
+    </section>
+
+    <section>
+      <title id="col-adobergb">Colorspace Adobe RGB (<constant>V4L2_COLORSPACE_ADOBERGB</constant>)</title>
+      <para>The <xref linkend="adobergb" /> standard defines the colorspace used by computer graphics. The default
+Y'CbCr encoding is <constant>V4L2_YCBCR_ENC_601</constant>. The default Y'CbCr quantization is
+limited range. The chromaticities of the primary colors and the white reference are:</para>
+      <table frame="none">
+        <title>Adobe RGB Chromaticities</title>
+        <tgroup cols="3" align="left">
+          &cs-str;
+    	<thead>
+    	  <row>
+    	    <entry>Color</entry>
+    	    <entry>x</entry>
+    	    <entry>y</entry>
+    	  </row>
+    	</thead>
+          <tbody valign="top">
+            <row>
+              <entry>Red</entry>
+              <entry>0.6400</entry>
+              <entry>0.3300</entry>
+            </row>
+            <row>
+              <entry>Green</entry>
+              <entry>0.2100</entry>
+              <entry>0.7100</entry>
+            </row>
+            <row>
+              <entry>Blue</entry>
+              <entry>0.1500</entry>
+              <entry>0.0600</entry>
+            </row>
+            <row>
+              <entry>White Reference (D65)</entry>
+              <entry>0.3127</entry>
+              <entry>0.3290</entry>
+            </row>
+          </tbody>
+        </tgroup>
+      </table>
+      <variablelist>
+	<varlistentry>
+          <term>Transfer function:</term>
+	  <listitem>
+            <para>L' = L<superscript>1/2.19921875</superscript></para>
+	  </listitem>
+	</varlistentry>
+	<varlistentry>
+          <term>Inverse Transfer function:</term>
+	  <listitem>
+            <para>L = L'<superscript>2.19921875</superscript></para>
+	  </listitem>
+	</varlistentry>
+      </variablelist>
+      <variablelist>
+	<varlistentry>
+      	  <term>The luminance (Y') and color difference (Cb and Cr) are obtained with the
+following <constant>V4L2_YCBCR_ENC_601</constant> encoding:</term>
+	  <listitem>
+            <para>Y'&nbsp;=&nbsp;0.299R'&nbsp;+&nbsp;0.587G'&nbsp;+&nbsp;0.114B'</para>
+            <para>Cb&nbsp;=&nbsp;-0.169R'&nbsp;-&nbsp;0.331G'&nbsp;+&nbsp;0.5B'</para>
+            <para>Cr&nbsp;=&nbsp;0.5R'&nbsp;-&nbsp;0.419G'&nbsp;-&nbsp;0.081B'</para>
+	  </listitem>
+	</varlistentry>
+      </variablelist>
+      <para>Y' is clamped to the range [0&hellip;1] and Cb and Cr are
+clamped to the range [-0.5&hellip;0.5]. This transform is identical to one defined in
+SMPTE 170M/BT.601. The Y'CbCr quantization is limited range.</para>
+    </section>
+
+    <section>
+      <title id="col-bt2020">Colorspace BT.2020 (<constant>V4L2_COLORSPACE_BT2020</constant>)</title>
+      <para>The <xref linkend="itu2020" /> standard defines the colorspace used by Ultra-high definition
+television (UHDTV). The default Y'CbCr encoding is <constant>V4L2_YCBCR_ENC_BT2020NC</constant>.
+The default Y'CbCr quantization is limited range. The chromaticities of the primary colors and
+the white reference are:</para>
+      <table frame="none">
+        <title>BT.2020 Chromaticities</title>
+        <tgroup cols="3" align="left">
+          &cs-str;
+    	<thead>
+    	  <row>
+    	    <entry>Color</entry>
+    	    <entry>x</entry>
+    	    <entry>y</entry>
+    	  </row>
+    	</thead>
+          <tbody valign="top">
+            <row>
+              <entry>Red</entry>
+              <entry>0.708</entry>
+              <entry>0.292</entry>
+            </row>
+            <row>
+              <entry>Green</entry>
+              <entry>0.170</entry>
+              <entry>0.797</entry>
+            </row>
+            <row>
+              <entry>Blue</entry>
+              <entry>0.131</entry>
+              <entry>0.046</entry>
+            </row>
+            <row>
+              <entry>White Reference (D65)</entry>
+              <entry>0.3127</entry>
+              <entry>0.3290</entry>
+            </row>
+          </tbody>
+        </tgroup>
+      </table>
+      <variablelist>
+	<varlistentry>
+          <term>Transfer function (same as Rec. 709):</term>
+	  <listitem>
+            <para>L' = 4.5L&nbsp;for&nbsp;0&nbsp;&le;&nbsp;L&nbsp;&lt;&nbsp;0.018</para>
+            <para>L' = 1.099L<superscript>0.45</superscript>&nbsp;-&nbsp;0.099&nbsp;for&nbsp;0.018&nbsp;&le;&nbsp;L&nbsp;&le;&nbsp;1</para>
+	  </listitem>
+	</varlistentry>
+	<varlistentry>
+          <term>Inverse Transfer function:</term>
+	  <listitem>
+            <para>L = L'&nbsp;/&nbsp;4.5&nbsp;for&nbsp;L'&nbsp;&lt;&nbsp;0.081</para>
+            <para>L = ((L'&nbsp;+&nbsp;0.099)&nbsp;/&nbsp;1.099)<superscript>1/0.45</superscript>&nbsp;for&nbsp;L'&nbsp;&ge;&nbsp;0.081</para>
+	  </listitem>
+	</varlistentry>
+      </variablelist>
+      <variablelist>
+	<varlistentry>
+      	  <term>The luminance (Y') and color difference (Cb and Cr) are obtained with the
+following <constant>V4L2_YCBCR_ENC_BT2020NC</constant> encoding:</term>
+	  <listitem>
+            <para>Y'&nbsp;=&nbsp;0.2627R'&nbsp;+&nbsp;0.6789G'&nbsp;+&nbsp;0.0593B'</para>
+            <para>Cb&nbsp;=&nbsp;-0.1396R'&nbsp;-&nbsp;0.3604G'&nbsp;+&nbsp;0.5B'</para>
+            <para>Cr&nbsp;=&nbsp;0.5R'&nbsp;-&nbsp;0.4598G'&nbsp;-&nbsp;0.0402B'</para>
+	  </listitem>
+	</varlistentry>
+      </variablelist>
+      <para>Y' is clamped to the range [0&hellip;1] and Cb and Cr are
+clamped to the range [-0.5&hellip;0.5]. The Y'CbCr quantization is limited range.</para>
+      <para>There is also an alternate constant luminance R'G'B' to Yc'CbcCrc
+(<constant>V4L2_YCBCR_ENC_BT2020C</constant>) encoding:</para>
+      <variablelist>
+	<varlistentry>
+      	  <term>Luma:</term>
+	  <listitem>
+            <para>Yc'&nbsp;=&nbsp;(0.2627R&nbsp;+&nbsp;0.6789G&nbsp;+&nbsp;0.0593B)'</para>
+	  </listitem>
+	</varlistentry>
+      </variablelist>
+      <variablelist>
+	<varlistentry>
+      	  <term>B'&nbsp;-&nbsp;Yc'&nbsp;&le;&nbsp;0:</term>
+	  <listitem>
+            <para>Cbc&nbsp;=&nbsp;(B'&nbsp;-&nbsp;Y')&nbsp;/&nbsp;1.9404</para>
+	  </listitem>
+	</varlistentry>
+      </variablelist>
+      <variablelist>
+	<varlistentry>
+      	  <term>B'&nbsp;-&nbsp;Yc'&nbsp;&gt;&nbsp;0:</term>
+	  <listitem>
+            <para>Cbc&nbsp;=&nbsp;(B'&nbsp;-&nbsp;Y')&nbsp;/&nbsp;1.5816</para>
+	  </listitem>
+	</varlistentry>
+      </variablelist>
+      <variablelist>
+	<varlistentry>
+      	  <term>R'&nbsp;-&nbsp;Yc'&nbsp;&le;&nbsp;0:</term>
+	  <listitem>
+            <para>Crc&nbsp;=&nbsp;(R'&nbsp;-&nbsp;Y')&nbsp;/&nbsp;1.7184</para>
+	  </listitem>
+	</varlistentry>
+      </variablelist>
+      <variablelist>
+	<varlistentry>
+      	  <term>R'&nbsp;-&nbsp;Yc'&nbsp;&gt;&nbsp;0:</term>
+	  <listitem>
+            <para>Crc&nbsp;=&nbsp;(R'&nbsp;-&nbsp;Y')&nbsp;/&nbsp;0.9936</para>
+	  </listitem>
+	</varlistentry>
+      </variablelist>
+      <para>Yc' is clamped to the range [0&hellip;1] and Cbc and Crc are
+clamped to the range [-0.5&hellip;0.5]. The Yc'CbcCrc quantization is limited range.</para>
+    </section>
+
+    <section>
+      <title id="col-smpte-240m">Colorspace SMPTE 240M (<constant>V4L2_COLORSPACE_SMPTE240M</constant>)</title>
+      <para>The <xref linkend="smpte240m" /> standard was an interim standard used during the early days of HDTV (1988-1998).
+It has been superseded by Rec. 709. The default Y'CbCr encoding is <constant>V4L2_YCBCR_ENC_SMPTE240M</constant>.
+The default Y'CbCr quantization is limited range. The chromaticities of the primary colors and the
+white reference are:</para>
+      <table frame="none">
+        <title>SMPTE 240M Chromaticities</title>
+        <tgroup cols="3" align="left">
+          &cs-str;
+    	<thead>
+    	  <row>
+    	    <entry>Color</entry>
+    	    <entry>x</entry>
+    	    <entry>y</entry>
+    	  </row>
+    	</thead>
+          <tbody valign="top">
+            <row>
+              <entry>Red</entry>
+              <entry>0.630</entry>
+              <entry>0.340</entry>
+            </row>
+            <row>
+              <entry>Green</entry>
+              <entry>0.310</entry>
+              <entry>0.595</entry>
+            </row>
+            <row>
+              <entry>Blue</entry>
+              <entry>0.155</entry>
+              <entry>0.070</entry>
+            </row>
+            <row>
+              <entry>White Reference (D65)</entry>
+              <entry>0.3127</entry>
+              <entry>0.3290</entry>
+            </row>
+          </tbody>
+        </tgroup>
+      </table>
+      <para>These chromaticities are identical to the SMPTE 170M colorspace.</para>
+      <variablelist>
+	<varlistentry>
+          <term>Transfer function:</term>
+	  <listitem>
+            <para>L' = 4L&nbsp;for&nbsp;0&nbsp;&le;&nbsp;L&nbsp;&lt;&nbsp;0.0228</para>
+            <para>L' = 1.1115L<superscript>0.45</superscript>&nbsp;-&nbsp;0.1115&nbsp;for&nbsp;0.0228&nbsp;&le;&nbsp;L&nbsp;&le;&nbsp;1</para>
+	  </listitem>
+	</varlistentry>
+	<varlistentry>
+          <term>Inverse Transfer function:</term>
+	  <listitem>
+            <para>L = L'&nbsp;/&nbsp;4&nbsp;for&nbsp;0&nbsp;&le;&nbsp;L'&nbsp;&lt;&nbsp;0.0913</para>
+            <para>L = ((L'&nbsp;+&nbsp;0.1115)&nbsp;/&nbsp;1.1115)<superscript>1/0.45</superscript>&nbsp;for&nbsp;L'&nbsp;&ge;&nbsp;0.0913</para>
+	  </listitem>
+	</varlistentry>
+      </variablelist>
+      <variablelist>
+	<varlistentry>
+      	  <term>The luminance (Y') and color difference (Cb and Cr) are obtained with the
+following <constant>V4L2_YCBCR_ENC_SMPTE240M</constant> encoding:</term>
+	  <listitem>
+            <para>Y'&nbsp;=&nbsp;0.2122R'&nbsp;+&nbsp;0.7013G'&nbsp;+&nbsp;0.0865B'</para>
+            <para>Cb&nbsp;=&nbsp;-0.1161R'&nbsp;-&nbsp;0.3839G'&nbsp;+&nbsp;0.5B'</para>
+            <para>Cr&nbsp;=&nbsp;0.5R'&nbsp;-&nbsp;0.4451G'&nbsp;-&nbsp;0.0549B'</para>
+	  </listitem>
+	</varlistentry>
+      </variablelist>
+      <para>Yc' is clamped to the range [0&hellip;1] and Cbc and Crc are
+clamped to the range [-0.5&hellip;0.5]. The Y'CbCr quantization is limited range.</para>
+    </section>
+
+    <section>
+      <title id="col-sysm">Colorspace NTSC 1953 (<constant>V4L2_COLORSPACE_470_SYSTEM_M</constant>)</title>
+      <para>This standard defines the colorspace used by NTSC in 1953. In practice this
+colorspace is obsolete and SMPTE 170M should be used instead. The default Y'CbCr encoding
+is <constant>V4L2_YCBCR_ENC_601</constant>. The default Y'CbCr quantization is limited range.
+The chromaticities of the primary colors and the white reference are:</para>
+      <table frame="none">
+        <title>NTSC 1953 Chromaticities</title>
+        <tgroup cols="3" align="left">
+          &cs-str;
+    	<thead>
+    	  <row>
+    	    <entry>Color</entry>
+    	    <entry>x</entry>
+    	    <entry>y</entry>
+    	  </row>
+    	</thead>
+          <tbody valign="top">
+            <row>
+              <entry>Red</entry>
+              <entry>0.67</entry>
+              <entry>0.33</entry>
+            </row>
+            <row>
+              <entry>Green</entry>
+              <entry>0.21</entry>
+              <entry>0.71</entry>
+            </row>
+            <row>
+              <entry>Blue</entry>
+              <entry>0.14</entry>
+              <entry>0.08</entry>
+            </row>
+            <row>
+              <entry>White Reference (C)</entry>
+              <entry>0.310</entry>
+              <entry>0.316</entry>
+            </row>
+          </tbody>
+        </tgroup>
+      </table>
+      <para>Note that this colorspace uses Illuminant C instead of D65 as the
+white reference. To correctly convert an image in this colorspace to another
+that uses D65 you need to apply a chromatic adaptation algorithm such as the
+Bradford method.</para>
+      <variablelist>
+	<varlistentry>
+          <term>The transfer function was never properly defined for NTSC 1953. The
+Rec. 709 transfer function is recommended in the literature:</term>
+	  <listitem>
+            <para>L' = 4.5L&nbsp;for&nbsp;0&nbsp;&le;&nbsp;L&nbsp;&lt;&nbsp;0.018</para>
+            <para>L' = 1.099L<superscript>0.45</superscript>&nbsp;-&nbsp;0.099&nbsp;for&nbsp;0.018&nbsp;&le;&nbsp;L&nbsp;&le;&nbsp;1</para>
+	  </listitem>
+	</varlistentry>
+	<varlistentry>
+          <term>Inverse Transfer function:</term>
+	  <listitem>
+            <para>L = L'&nbsp;/&nbsp;4.5&nbsp;for&nbsp;L'&nbsp;&lt;&nbsp;0.081</para>
+            <para>L = ((L'&nbsp;+&nbsp;0.099)&nbsp;/&nbsp;1.099)<superscript>1/0.45</superscript>&nbsp;for&nbsp;L'&nbsp;&ge;&nbsp;0.081</para>
+	  </listitem>
+	</varlistentry>
+      </variablelist>
+      <variablelist>
+	<varlistentry>
+      	  <term>The luminance (Y') and color difference (Cb and Cr) are obtained with the
+following <constant>V4L2_YCBCR_ENC_601</constant> encoding:</term>
+	  <listitem>
+            <para>Y'&nbsp;=&nbsp;0.299R'&nbsp;+&nbsp;0.587G'&nbsp;+&nbsp;0.114B'</para>
+            <para>Cb&nbsp;=&nbsp;-0.169R'&nbsp;-&nbsp;0.331G'&nbsp;+&nbsp;0.5B'</para>
+            <para>Cr&nbsp;=&nbsp;0.5R'&nbsp;-&nbsp;0.419G'&nbsp;-&nbsp;0.081B'</para>
+	  </listitem>
+	</varlistentry>
+      </variablelist>
+      <para>Y' is clamped to the range [0&hellip;1] and Cb and Cr are
+clamped to the range [-0.5&hellip;0.5]. The Y'CbCr quantization is limited range.
+This transform is identical to one defined in SMPTE 170M/BT.601.</para>
+    </section>
+
+    <section>
+      <title id="col-sysbg">Colorspace EBU Tech. 3213 (<constant>V4L2_COLORSPACE_470_SYSTEM_BG</constant>)</title>
+      <para>The <xref linkend="tech3213" /> standard defines the colorspace used by PAL/SECAM in 1975. In practice this
+colorspace is obsolete and SMPTE 170M should be used instead. The default Y'CbCr encoding
+is <constant>V4L2_YCBCR_ENC_601</constant>. The default Y'CbCr quantization is limited range.
+The chromaticities of the primary colors and the white reference are:</para>
+      <table frame="none">
+        <title>EBU Tech. 3213 Chromaticities</title>
+        <tgroup cols="3" align="left">
+          &cs-str;
+    	<thead>
+    	  <row>
+    	    <entry>Color</entry>
+    	    <entry>x</entry>
+    	    <entry>y</entry>
+    	  </row>
+    	</thead>
+          <tbody valign="top">
+            <row>
+              <entry>Red</entry>
+              <entry>0.64</entry>
+              <entry>0.33</entry>
+            </row>
+            <row>
+              <entry>Green</entry>
+              <entry>0.29</entry>
+              <entry>0.60</entry>
+            </row>
+            <row>
+              <entry>Blue</entry>
+              <entry>0.15</entry>
+              <entry>0.06</entry>
+            </row>
+            <row>
+              <entry>White Reference (D65)</entry>
+              <entry>0.3127</entry>
+              <entry>0.3290</entry>
+            </row>
+          </tbody>
+        </tgroup>
+      </table>
+      <variablelist>
+	<varlistentry>
+          <term>The transfer function was never properly defined for this colorspace.
+The Rec. 709 transfer function is recommended in the literature:</term>
+	  <listitem>
+            <para>L' = 4.5L&nbsp;for&nbsp;0&nbsp;&le;&nbsp;L&nbsp;&lt;&nbsp;0.018</para>
+            <para>L' = 1.099L<superscript>0.45</superscript>&nbsp;-&nbsp;0.099&nbsp;for&nbsp;0.018&nbsp;&le;&nbsp;L&nbsp;&le;&nbsp;1</para>
+	  </listitem>
+	</varlistentry>
+	<varlistentry>
+          <term>Inverse Transfer function:</term>
+	  <listitem>
+            <para>L = L'&nbsp;/&nbsp;4.5&nbsp;for&nbsp;L'&nbsp;&lt;&nbsp;0.081</para>
+            <para>L = ((L'&nbsp;+&nbsp;0.099)&nbsp;/&nbsp;1.099)<superscript>1/0.45</superscript>&nbsp;for&nbsp;L'&nbsp;&ge;&nbsp;0.081</para>
+	  </listitem>
+	</varlistentry>
+      </variablelist>
+      <variablelist>
+	<varlistentry>
+      	  <term>The luminance (Y') and color difference (Cb and Cr) are obtained with the
+following <constant>V4L2_YCBCR_ENC_601</constant> encoding:</term>
+	  <listitem>
+            <para>Y'&nbsp;=&nbsp;0.299R'&nbsp;+&nbsp;0.587G'&nbsp;+&nbsp;0.114B'</para>
+            <para>Cb&nbsp;=&nbsp;-0.169R'&nbsp;-&nbsp;0.331G'&nbsp;+&nbsp;0.5B'</para>
+            <para>Cr&nbsp;=&nbsp;0.5R'&nbsp;-&nbsp;0.419G'&nbsp;-&nbsp;0.081B'</para>
+	  </listitem>
+	</varlistentry>
+      </variablelist>
+      <para>Y' is clamped to the range [0&hellip;1] and Cb and Cr are
+clamped to the range [-0.5&hellip;0.5]. The Y'CbCr quantization is limited range.
+This transform is identical to one defined in SMPTE 170M/BT.601.</para>
+    </section>
+
+    <section>
+      <title id="col-jpeg">Colorspace JPEG (<constant>V4L2_COLORSPACE_JPEG</constant>)</title>
+      <para>This colorspace defines the colorspace used by most (Motion-)JPEG formats. The chromaticities
+of the primary colors and the white reference are identical to sRGB. The Y'CbCr encoding is
+<constant>V4L2_YCBCR_ENC_601</constant> with full range quantization where
+Y' is scaled to [0&hellip;255] and Cb/Cr are scaled to [-128&hellip;128] and
+then clipped to [-128&hellip;127].</para>
+      <para>Note that the JPEG standard does not actually store colorspace information.
+So if something other than sRGB is used, then the driver will have to set that information
+explicitly. Effectively <constant>V4L2_COLORSPACE_JPEG</constant> can be considered to be
+an abbreviation for <constant>V4L2_COLORSPACE_SRGB</constant>, <constant>V4L2_YCBCR_ENC_601</constant>
+and <constant>V4L2_QUANTIZATION_FULL_RANGE</constant>.</para>
+    </section>
+
   </section>
 
   <section id="pixfmt-indexed">
-- 
2.1.1


^ permalink raw reply related	[flat|nested] 10+ messages in thread

* [RFCv1 PATCH 5/8] vivid-tpg-colors: add AdobeRGB and BT.2020 support
  2014-11-17 14:16 [RFCv1 PATCH 0/8] improve colorspace support Hans Verkuil
                   ` (3 preceding siblings ...)
  2014-11-17 14:16 ` [RFCv1 PATCH 4/8] DocBook media: rewrite the Colorspace chapter Hans Verkuil
@ 2014-11-17 14:16 ` Hans Verkuil
  2014-11-17 14:16 ` [RFCv1 PATCH 6/8] vivid-tpg: improve colorspace support Hans Verkuil
                   ` (3 subsequent siblings)
  8 siblings, 0 replies; 10+ messages in thread
From: Hans Verkuil @ 2014-11-17 14:16 UTC (permalink / raw)
  To: linux-media; +Cc: Hans Verkuil

From: Hans Verkuil <hans.verkuil@cisco.com>

This extends the precalculated tpg_csc_colors matrix with AdobeRGB and BT.2020
colorspace support.

It also adds two precalculated tables that convert between linear RGB and non-linear
Rec.709 R'G'B' values, i.e. the Rec. 709 transfer function. This is needed to
efficiently handle the BT.2020 Constant Luminance Yc'CbcCrc encoding and decoding.

Signed-off-by: Hans Verkuil <hans.verkuil@cisco.com>
---
 drivers/media/platform/vivid/vivid-tpg-colors.c | 704 ++++++++++++++++++++++--
 drivers/media/platform/vivid/vivid-tpg-colors.h |   4 +-
 2 files changed, 665 insertions(+), 43 deletions(-)

diff --git a/drivers/media/platform/vivid/vivid-tpg-colors.c b/drivers/media/platform/vivid/vivid-tpg-colors.c
index 2adddc0..424aa7a 100644
--- a/drivers/media/platform/vivid/vivid-tpg-colors.c
+++ b/drivers/media/platform/vivid/vivid-tpg-colors.c
@@ -12,7 +12,7 @@
  * This source also contains the code used to generate the tpg_csc_colors
  * table. Run the following command to compile it:
  *
- *	gcc vivid-colors.c -DCOMPILE_APP -o gen-colors -lm
+ *	gcc vivid-tpg-colors.c -DCOMPILE_APP -o gen-colors -lm
  *
  * and run the utility.
  *
@@ -78,22 +78,542 @@ const struct color tpg_colors[TPG_COLOR_MAX] = {
 #ifndef COMPILE_APP
 
 /* Generated table */
-const struct color16 tpg_csc_colors[V4L2_COLORSPACE_SRGB + 1][TPG_COLOR_CSC_BLACK + 1] = {
-	[V4L2_COLORSPACE_SMPTE170M][0] = { 2953, 2939, 2939 },
-	[V4L2_COLORSPACE_SMPTE170M][1] = { 2954, 2963, 585 },
-	[V4L2_COLORSPACE_SMPTE170M][2] = { 84, 2967, 2937 },
-	[V4L2_COLORSPACE_SMPTE170M][3] = { 93, 2990, 575 },
-	[V4L2_COLORSPACE_SMPTE170M][4] = { 3030, 259, 2933 },
-	[V4L2_COLORSPACE_SMPTE170M][5] = { 3031, 406, 557 },
-	[V4L2_COLORSPACE_SMPTE170M][6] = { 544, 428, 2931 },
-	[V4L2_COLORSPACE_SMPTE170M][7] = { 551, 547, 547 },
+const unsigned short tpg_rec709_to_linear[255 * 16 + 1] = {
+	   0,    0,    0,    1,    1,    1,    1,    2,    2,    2,    2,    2,    3,    3,    3,    3,
+	   4,    4,    4,    4,    4,    5,    5,    5,    5,    6,    6,    6,    6,    6,    7,    7,
+	   7,    7,    8,    8,    8,    8,    8,    9,    9,    9,    9,   10,   10,   10,   10,   10,
+	  11,   11,   11,   11,   12,   12,   12,   12,   12,   13,   13,   13,   13,   14,   14,   14,
+	  14,   14,   15,   15,   15,   15,   16,   16,   16,   16,   16,   17,   17,   17,   17,   18,
+	  18,   18,   18,   18,   19,   19,   19,   19,   20,   20,   20,   20,   20,   21,   21,   21,
+	  21,   22,   22,   22,   22,   22,   23,   23,   23,   23,   24,   24,   24,   24,   24,   25,
+	  25,   25,   25,   26,   26,   26,   26,   26,   27,   27,   27,   27,   28,   28,   28,   28,
+	  28,   29,   29,   29,   29,   30,   30,   30,   30,   30,   31,   31,   31,   31,   32,   32,
+	  32,   32,   32,   33,   33,   33,   33,   34,   34,   34,   34,   34,   35,   35,   35,   35,
+	  36,   36,   36,   36,   36,   37,   37,   37,   37,   38,   38,   38,   38,   38,   39,   39,
+	  39,   39,   40,   40,   40,   40,   40,   41,   41,   41,   41,   42,   42,   42,   42,   42,
+	  43,   43,   43,   43,   44,   44,   44,   44,   44,   45,   45,   45,   45,   46,   46,   46,
+	  46,   46,   47,   47,   47,   47,   48,   48,   48,   48,   48,   49,   49,   49,   49,   50,
+	  50,   50,   50,   50,   51,   51,   51,   51,   52,   52,   52,   52,   52,   53,   53,   53,
+	  53,   54,   54,   54,   54,   54,   55,   55,   55,   55,   56,   56,   56,   56,   56,   57,
+	  57,   57,   57,   58,   58,   58,   58,   58,   59,   59,   59,   59,   60,   60,   60,   60,
+	  60,   61,   61,   61,   61,   62,   62,   62,   62,   62,   63,   63,   63,   63,   64,   64,
+	  64,   64,   64,   65,   65,   65,   65,   66,   66,   66,   66,   66,   67,   67,   67,   67,
+	  68,   68,   68,   68,   68,   69,   69,   69,   69,   70,   70,   70,   70,   70,   71,   71,
+	  71,   71,   72,   72,   72,   72,   72,   73,   73,   73,   73,   73,   74,   74,   74,   74,
+	  74,   75,   75,   75,   75,   76,   76,   76,   76,   76,   77,   77,   77,   77,   78,   78,
+	  78,   78,   79,   79,   79,   79,   79,   80,   80,   80,   80,   81,   81,   81,   81,   82,
+	  82,   82,   82,   82,   83,   83,   83,   83,   84,   84,   84,   84,   85,   85,   85,   85,
+	  86,   86,   86,   86,   87,   87,   87,   87,   88,   88,   88,   88,   89,   89,   89,   89,
+	  90,   90,   90,   90,   91,   91,   91,   91,   92,   92,   92,   92,   93,   93,   93,   93,
+	  94,   94,   94,   94,   95,   95,   95,   95,   96,   96,   96,   96,   97,   97,   97,   97,
+	  98,   98,   98,   98,   99,   99,   99,   99,  100,  100,  100,  101,  101,  101,  101,  102,
+	 102,  102,  102,  103,  103,  103,  103,  104,  104,  104,  105,  105,  105,  105,  106,  106,
+	 106,  106,  107,  107,  107,  107,  108,  108,  108,  109,  109,  109,  109,  110,  110,  110,
+	 111,  111,  111,  111,  112,  112,  112,  112,  113,  113,  113,  114,  114,  114,  114,  115,
+	 115,  115,  116,  116,  116,  116,  117,  117,  117,  118,  118,  118,  118,  119,  119,  119,
+	 120,  120,  120,  120,  121,  121,  121,  122,  122,  122,  123,  123,  123,  123,  124,  124,
+	 124,  125,  125,  125,  125,  126,  126,  126,  127,  127,  127,  128,  128,  128,  128,  129,
+	 129,  129,  130,  130,  130,  131,  131,  131,  132,  132,  132,  132,  133,  133,  133,  134,
+	 134,  134,  135,  135,  135,  136,  136,  136,  136,  137,  137,  137,  138,  138,  138,  139,
+	 139,  139,  140,  140,  140,  141,  141,  141,  142,  142,  142,  142,  143,  143,  143,  144,
+	 144,  144,  145,  145,  145,  146,  146,  146,  147,  147,  147,  148,  148,  148,  149,  149,
+	 149,  150,  150,  150,  151,  151,  151,  152,  152,  152,  153,  153,  153,  154,  154,  154,
+	 155,  155,  155,  156,  156,  156,  157,  157,  157,  158,  158,  158,  159,  159,  159,  160,
+	 160,  160,  161,  161,  161,  162,  162,  162,  163,  163,  163,  164,  164,  164,  165,  165,
+	 165,  166,  166,  167,  167,  167,  168,  168,  168,  169,  169,  169,  170,  170,  170,  171,
+	 171,  171,  172,  172,  172,  173,  173,  174,  174,  174,  175,  175,  175,  176,  176,  176,
+	 177,  177,  177,  178,  178,  179,  179,  179,  180,  180,  180,  181,  181,  181,  182,  182,
+	 183,  183,  183,  184,  184,  184,  185,  185,  186,  186,  186,  187,  187,  187,  188,  188,
+	 188,  189,  189,  190,  190,  190,  191,  191,  191,  192,  192,  193,  193,  193,  194,  194,
+	 194,  195,  195,  196,  196,  196,  197,  197,  198,  198,  198,  199,  199,  199,  200,  200,
+	 201,  201,  201,  202,  202,  203,  203,  203,  204,  204,  204,  205,  205,  206,  206,  206,
+	 207,  207,  208,  208,  208,  209,  209,  210,  210,  210,  211,  211,  212,  212,  212,  213,
+	 213,  214,  214,  214,  215,  215,  216,  216,  216,  217,  217,  218,  218,  218,  219,  219,
+	 220,  220,  220,  221,  221,  222,  222,  222,  223,  223,  224,  224,  224,  225,  225,  226,
+	 226,  227,  227,  227,  228,  228,  229,  229,  229,  230,  230,  231,  231,  232,  232,  232,
+	 233,  233,  234,  234,  234,  235,  235,  236,  236,  237,  237,  237,  238,  238,  239,  239,
+	 240,  240,  240,  241,  241,  242,  242,  243,  243,  243,  244,  244,  245,  245,  246,  246,
+	 246,  247,  247,  248,  248,  249,  249,  249,  250,  250,  251,  251,  252,  252,  252,  253,
+	 253,  254,  254,  255,  255,  256,  256,  256,  257,  257,  258,  258,  259,  259,  260,  260,
+	 260,  261,  261,  262,  262,  263,  263,  264,  264,  264,  265,  265,  266,  266,  267,  267,
+	 268,  268,  269,  269,  269,  270,  270,  271,  271,  272,  272,  273,  273,  274,  274,  274,
+	 275,  275,  276,  276,  277,  277,  278,  278,  279,  279,  279,  280,  280,  281,  281,  282,
+	 282,  283,  283,  284,  284,  285,  285,  286,  286,  286,  287,  287,  288,  288,  289,  289,
+	 290,  290,  291,  291,  292,  292,  293,  293,  294,  294,  295,  295,  295,  296,  296,  297,
+	 297,  298,  298,  299,  299,  300,  300,  301,  301,  302,  302,  303,  303,  304,  304,  305,
+	 305,  306,  306,  307,  307,  308,  308,  309,  309,  309,  310,  310,  311,  311,  312,  312,
+	 313,  313,  314,  314,  315,  315,  316,  316,  317,  317,  318,  318,  319,  319,  320,  320,
+	 321,  321,  322,  322,  323,  323,  324,  324,  325,  325,  326,  326,  327,  327,  328,  328,
+	 329,  329,  330,  330,  331,  331,  332,  332,  333,  333,  334,  335,  335,  336,  336,  337,
+	 337,  338,  338,  339,  339,  340,  340,  341,  341,  342,  342,  343,  343,  344,  344,  345,
+	 345,  346,  346,  347,  347,  348,  348,  349,  349,  350,  351,  351,  352,  352,  353,  353,
+	 354,  354,  355,  355,  356,  356,  357,  357,  358,  358,  359,  360,  360,  361,  361,  362,
+	 362,  363,  363,  364,  364,  365,  365,  366,  366,  367,  368,  368,  369,  369,  370,  370,
+	 371,  371,  372,  372,  373,  373,  374,  375,  375,  376,  376,  377,  377,  378,  378,  379,
+	 379,  380,  381,  381,  382,  382,  383,  383,  384,  384,  385,  386,  386,  387,  387,  388,
+	 388,  389,  389,  390,  391,  391,  392,  392,  393,  393,  394,  394,  395,  396,  396,  397,
+	 397,  398,  398,  399,  399,  400,  401,  401,  402,  402,  403,  403,  404,  405,  405,  406,
+	 406,  407,  407,  408,  409,  409,  410,  410,  411,  411,  412,  413,  413,  414,  414,  415,
+	 415,  416,  417,  417,  418,  418,  419,  419,  420,  421,  421,  422,  422,  423,  424,  424,
+	 425,  425,  426,  426,  427,  428,  428,  429,  429,  430,  431,  431,  432,  432,  433,  433,
+	 434,  435,  435,  436,  436,  437,  438,  438,  439,  439,  440,  441,  441,  442,  442,  443,
+	 444,  444,  445,  445,  446,  447,  447,  448,  448,  449,  450,  450,  451,  451,  452,  453,
+	 453,  454,  454,  455,  456,  456,  457,  457,  458,  459,  459,  460,  460,  461,  462,  462,
+	 463,  463,  464,  465,  465,  466,  467,  467,  468,  468,  469,  470,  470,  471,  471,  472,
+	 473,  473,  474,  475,  475,  476,  476,  477,  478,  478,  479,  480,  480,  481,  481,  482,
+	 483,  483,  484,  485,  485,  486,  486,  487,  488,  488,  489,  490,  490,  491,  491,  492,
+	 493,  493,  494,  495,  495,  496,  497,  497,  498,  498,  499,  500,  500,  501,  502,  502,
+	 503,  504,  504,  505,  505,  506,  507,  507,  508,  509,  509,  510,  511,  511,  512,  513,
+	 513,  514,  514,  515,  516,  516,  517,  518,  518,  519,  520,  520,  521,  522,  522,  523,
+	 524,  524,  525,  526,  526,  527,  528,  528,  529,  529,  530,  531,  531,  532,  533,  533,
+	 534,  535,  535,  536,  537,  537,  538,  539,  539,  540,  541,  541,  542,  543,  543,  544,
+	 545,  545,  546,  547,  547,  548,  549,  549,  550,  551,  551,  552,  553,  553,  554,  555,
+	 555,  556,  557,  557,  558,  559,  560,  560,  561,  562,  562,  563,  564,  564,  565,  566,
+	 566,  567,  568,  568,  569,  570,  570,  571,  572,  572,  573,  574,  575,  575,  576,  577,
+	 577,  578,  579,  579,  580,  581,  581,  582,  583,  584,  584,  585,  586,  586,  587,  588,
+	 588,  589,  590,  590,  591,  592,  593,  593,  594,  595,  595,  596,  597,  598,  598,  599,
+	 600,  600,  601,  602,  602,  603,  604,  605,  605,  606,  607,  607,  608,  609,  610,  610,
+	 611,  612,  612,  613,  614,  615,  615,  616,  617,  617,  618,  619,  620,  620,  621,  622,
+	 622,  623,  624,  625,  625,  626,  627,  627,  628,  629,  630,  630,  631,  632,  632,  633,
+	 634,  635,  635,  636,  637,  638,  638,  639,  640,  640,  641,  642,  643,  643,  644,  645,
+	 646,  646,  647,  648,  649,  649,  650,  651,  652,  652,  653,  654,  654,  655,  656,  657,
+	 657,  658,  659,  660,  660,  661,  662,  663,  663,  664,  665,  666,  666,  667,  668,  669,
+	 669,  670,  671,  672,  672,  673,  674,  675,  675,  676,  677,  678,  678,  679,  680,  681,
+	 681,  682,  683,  684,  684,  685,  686,  687,  687,  688,  689,  690,  690,  691,  692,  693,
+	 694,  694,  695,  696,  697,  697,  698,  699,  700,  700,  701,  702,  703,  703,  704,  705,
+	 706,  707,  707,  708,  709,  710,  710,  711,  712,  713,  714,  714,  715,  716,  717,  717,
+	 718,  719,  720,  720,  721,  722,  723,  724,  724,  725,  726,  727,  728,  728,  729,  730,
+	 731,  731,  732,  733,  734,  735,  735,  736,  737,  738,  739,  739,  740,  741,  742,  742,
+	 743,  744,  745,  746,  746,  747,  748,  749,  750,  750,  751,  752,  753,  754,  754,  755,
+	 756,  757,  758,  758,  759,  760,  761,  762,  762,  763,  764,  765,  766,  766,  767,  768,
+	 769,  770,  771,  771,  772,  773,  774,  775,  775,  776,  777,  778,  779,  779,  780,  781,
+	 782,  783,  783,  784,  785,  786,  787,  788,  788,  789,  790,  791,  792,  793,  793,  794,
+	 795,  796,  797,  797,  798,  799,  800,  801,  802,  802,  803,  804,  805,  806,  807,  807,
+	 808,  809,  810,  811,  812,  812,  813,  814,  815,  816,  817,  817,  818,  819,  820,  821,
+	 822,  822,  823,  824,  825,  826,  827,  827,  828,  829,  830,  831,  832,  832,  833,  834,
+	 835,  836,  837,  838,  838,  839,  840,  841,  842,  843,  843,  844,  845,  846,  847,  848,
+	 849,  849,  850,  851,  852,  853,  854,  855,  855,  856,  857,  858,  859,  860,  861,  861,
+	 862,  863,  864,  865,  866,  867,  867,  868,  869,  870,  871,  872,  873,  873,  874,  875,
+	 876,  877,  878,  879,  880,  880,  881,  882,  883,  884,  885,  886,  887,  887,  888,  889,
+	 890,  891,  892,  893,  894,  894,  895,  896,  897,  898,  899,  900,  901,  901,  902,  903,
+	 904,  905,  906,  907,  908,  909,  909,  910,  911,  912,  913,  914,  915,  916,  916,  917,
+	 918,  919,  920,  921,  922,  923,  924,  925,  925,  926,  927,  928,  929,  930,  931,  932,
+	 933,  933,  934,  935,  936,  937,  938,  939,  940,  941,  942,  942,  943,  944,  945,  946,
+	 947,  948,  949,  950,  951,  952,  952,  953,  954,  955,  956,  957,  958,  959,  960,  961,
+	 962,  962,  963,  964,  965,  966,  967,  968,  969,  970,  971,  972,  973,  973,  974,  975,
+	 976,  977,  978,  979,  980,  981,  982,  983,  984,  985,  985,  986,  987,  988,  989,  990,
+	 991,  992,  993,  994,  995,  996,  997,  998,  998,  999, 1000, 1001, 1002, 1003, 1004, 1005,
+	1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020,
+	1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1030, 1031, 1032, 1033, 1034, 1035,
+	1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1050,
+	1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066,
+	1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1078, 1079, 1080, 1081,
+	1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097,
+	1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113,
+	1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129,
+	1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145,
+	1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161,
+	1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177,
+	1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1193, 1194,
+	1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210,
+	1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1223, 1224, 1225, 1226, 1227,
+	1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243,
+	1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260,
+	1261, 1262, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277,
+	1278, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1295,
+	1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1309, 1310, 1311, 1312,
+	1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1322, 1323, 1324, 1325, 1326, 1327, 1328, 1329,
+	1330, 1331, 1332, 1334, 1335, 1336, 1337, 1338, 1339, 1340, 1341, 1342, 1343, 1345, 1346, 1347,
+	1348, 1349, 1350, 1351, 1352, 1353, 1354, 1356, 1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364,
+	1365, 1367, 1368, 1369, 1370, 1371, 1372, 1373, 1374, 1375, 1377, 1378, 1379, 1380, 1381, 1382,
+	1383, 1384, 1385, 1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394, 1396, 1397, 1398, 1399, 1400,
+	1401, 1402, 1403, 1405, 1406, 1407, 1408, 1409, 1410, 1411, 1412, 1414, 1415, 1416, 1417, 1418,
+	1419, 1420, 1421, 1423, 1424, 1425, 1426, 1427, 1428, 1429, 1431, 1432, 1433, 1434, 1435, 1436,
+	1437, 1439, 1440, 1441, 1442, 1443, 1444, 1445, 1446, 1448, 1449, 1450, 1451, 1452, 1453, 1455,
+	1456, 1457, 1458, 1459, 1460, 1461, 1463, 1464, 1465, 1466, 1467, 1468, 1469, 1471, 1472, 1473,
+	1474, 1475, 1476, 1478, 1479, 1480, 1481, 1482, 1483, 1484, 1486, 1487, 1488, 1489, 1490, 1491,
+	1493, 1494, 1495, 1496, 1497, 1498, 1500, 1501, 1502, 1503, 1504, 1505, 1507, 1508, 1509, 1510,
+	1511, 1512, 1514, 1515, 1516, 1517, 1518, 1519, 1521, 1522, 1523, 1524, 1525, 1527, 1528, 1529,
+	1530, 1531, 1532, 1534, 1535, 1536, 1537, 1538, 1540, 1541, 1542, 1543, 1544, 1545, 1547, 1548,
+	1549, 1550, 1551, 1553, 1554, 1555, 1556, 1557, 1559, 1560, 1561, 1562, 1563, 1564, 1566, 1567,
+	1568, 1569, 1570, 1572, 1573, 1574, 1575, 1576, 1578, 1579, 1580, 1581, 1582, 1584, 1585, 1586,
+	1587, 1588, 1590, 1591, 1592, 1593, 1594, 1596, 1597, 1598, 1599, 1601, 1602, 1603, 1604, 1605,
+	1607, 1608, 1609, 1610, 1611, 1613, 1614, 1615, 1616, 1617, 1619, 1620, 1621, 1622, 1624, 1625,
+	1626, 1627, 1628, 1630, 1631, 1632, 1633, 1635, 1636, 1637, 1638, 1639, 1641, 1642, 1643, 1644,
+	1646, 1647, 1648, 1649, 1650, 1652, 1653, 1654, 1655, 1657, 1658, 1659, 1660, 1662, 1663, 1664,
+	1665, 1667, 1668, 1669, 1670, 1671, 1673, 1674, 1675, 1676, 1678, 1679, 1680, 1681, 1683, 1684,
+	1685, 1686, 1688, 1689, 1690, 1691, 1693, 1694, 1695, 1696, 1698, 1699, 1700, 1701, 1703, 1704,
+	1705, 1706, 1708, 1709, 1710, 1711, 1713, 1714, 1715, 1716, 1718, 1719, 1720, 1721, 1723, 1724,
+	1725, 1726, 1728, 1729, 1730, 1731, 1733, 1734, 1735, 1737, 1738, 1739, 1740, 1742, 1743, 1744,
+	1745, 1747, 1748, 1749, 1750, 1752, 1753, 1754, 1756, 1757, 1758, 1759, 1761, 1762, 1763, 1764,
+	1766, 1767, 1768, 1770, 1771, 1772, 1773, 1775, 1776, 1777, 1778, 1780, 1781, 1782, 1784, 1785,
+	1786, 1787, 1789, 1790, 1791, 1793, 1794, 1795, 1796, 1798, 1799, 1800, 1802, 1803, 1804, 1806,
+	1807, 1808, 1809, 1811, 1812, 1813, 1815, 1816, 1817, 1818, 1820, 1821, 1822, 1824, 1825, 1826,
+	1828, 1829, 1830, 1831, 1833, 1834, 1835, 1837, 1838, 1839, 1841, 1842, 1843, 1844, 1846, 1847,
+	1848, 1850, 1851, 1852, 1854, 1855, 1856, 1858, 1859, 1860, 1862, 1863, 1864, 1865, 1867, 1868,
+	1869, 1871, 1872, 1873, 1875, 1876, 1877, 1879, 1880, 1881, 1883, 1884, 1885, 1887, 1888, 1889,
+	1891, 1892, 1893, 1894, 1896, 1897, 1898, 1900, 1901, 1902, 1904, 1905, 1906, 1908, 1909, 1910,
+	1912, 1913, 1914, 1916, 1917, 1918, 1920, 1921, 1922, 1924, 1925, 1926, 1928, 1929, 1930, 1932,
+	1933, 1935, 1936, 1937, 1939, 1940, 1941, 1943, 1944, 1945, 1947, 1948, 1949, 1951, 1952, 1953,
+	1955, 1956, 1957, 1959, 1960, 1961, 1963, 1964, 1965, 1967, 1968, 1970, 1971, 1972, 1974, 1975,
+	1976, 1978, 1979, 1980, 1982, 1983, 1984, 1986, 1987, 1989, 1990, 1991, 1993, 1994, 1995, 1997,
+	1998, 1999, 2001, 2002, 2004, 2005, 2006, 2008, 2009, 2010, 2012, 2013, 2015, 2016, 2017, 2019,
+	2020, 2021, 2023, 2024, 2026, 2027, 2028, 2030, 2031, 2032, 2034, 2035, 2037, 2038, 2039, 2041,
+	2042, 2043, 2045, 2046, 2048, 2049, 2050, 2052, 2053, 2055, 2056, 2057, 2059, 2060, 2061, 2063,
+	2064, 2066, 2067, 2068, 2070, 2071, 2073, 2074, 2075, 2077, 2078, 2080, 2081, 2082, 2084, 2085,
+	2087, 2088, 2089, 2091, 2092, 2094, 2095, 2096, 2098, 2099, 2101, 2102, 2103, 2105, 2106, 2108,
+	2109, 2110, 2112, 2113, 2115, 2116, 2117, 2119, 2120, 2122, 2123, 2124, 2126, 2127, 2129, 2130,
+	2132, 2133, 2134, 2136, 2137, 2139, 2140, 2141, 2143, 2144, 2146, 2147, 2149, 2150, 2151, 2153,
+	2154, 2156, 2157, 2159, 2160, 2161, 2163, 2164, 2166, 2167, 2169, 2170, 2171, 2173, 2174, 2176,
+	2177, 2179, 2180, 2181, 2183, 2184, 2186, 2187, 2189, 2190, 2191, 2193, 2194, 2196, 2197, 2199,
+	2200, 2202, 2203, 2204, 2206, 2207, 2209, 2210, 2212, 2213, 2214, 2216, 2217, 2219, 2220, 2222,
+	2223, 2225, 2226, 2228, 2229, 2230, 2232, 2233, 2235, 2236, 2238, 2239, 2241, 2242, 2243, 2245,
+	2246, 2248, 2249, 2251, 2252, 2254, 2255, 2257, 2258, 2260, 2261, 2262, 2264, 2265, 2267, 2268,
+	2270, 2271, 2273, 2274, 2276, 2277, 2279, 2280, 2282, 2283, 2284, 2286, 2287, 2289, 2290, 2292,
+	2293, 2295, 2296, 2298, 2299, 2301, 2302, 2304, 2305, 2307, 2308, 2310, 2311, 2312, 2314, 2315,
+	2317, 2318, 2320, 2321, 2323, 2324, 2326, 2327, 2329, 2330, 2332, 2333, 2335, 2336, 2338, 2339,
+	2341, 2342, 2344, 2345, 2347, 2348, 2350, 2351, 2353, 2354, 2356, 2357, 2359, 2360, 2362, 2363,
+	2365, 2366, 2368, 2369, 2371, 2372, 2374, 2375, 2377, 2378, 2380, 2381, 2383, 2384, 2386, 2387,
+	2389, 2390, 2392, 2393, 2395, 2396, 2398, 2399, 2401, 2402, 2404, 2405, 2407, 2408, 2410, 2411,
+	2413, 2414, 2416, 2417, 2419, 2420, 2422, 2423, 2425, 2426, 2428, 2429, 2431, 2433, 2434, 2436,
+	2437, 2439, 2440, 2442, 2443, 2445, 2446, 2448, 2449, 2451, 2452, 2454, 2455, 2457, 2458, 2460,
+	2462, 2463, 2465, 2466, 2468, 2469, 2471, 2472, 2474, 2475, 2477, 2478, 2480, 2481, 2483, 2485,
+	2486, 2488, 2489, 2491, 2492, 2494, 2495, 2497, 2498, 2500, 2502, 2503, 2505, 2506, 2508, 2509,
+	2511, 2512, 2514, 2515, 2517, 2519, 2520, 2522, 2523, 2525, 2526, 2528, 2529, 2531, 2533, 2534,
+	2536, 2537, 2539, 2540, 2542, 2543, 2545, 2547, 2548, 2550, 2551, 2553, 2554, 2556, 2557, 2559,
+	2561, 2562, 2564, 2565, 2567, 2568, 2570, 2572, 2573, 2575, 2576, 2578, 2579, 2581, 2583, 2584,
+	2586, 2587, 2589, 2590, 2592, 2594, 2595, 2597, 2598, 2600, 2601, 2603, 2605, 2606, 2608, 2609,
+	2611, 2613, 2614, 2616, 2617, 2619, 2620, 2622, 2624, 2625, 2627, 2628, 2630, 2632, 2633, 2635,
+	2636, 2638, 2640, 2641, 2643, 2644, 2646, 2647, 2649, 2651, 2652, 2654, 2655, 2657, 2659, 2660,
+	2662, 2663, 2665, 2667, 2668, 2670, 2671, 2673, 2675, 2676, 2678, 2679, 2681, 2683, 2684, 2686,
+	2687, 2689, 2691, 2692, 2694, 2696, 2697, 2699, 2700, 2702, 2704, 2705, 2707, 2708, 2710, 2712,
+	2713, 2715, 2716, 2718, 2720, 2721, 2723, 2725, 2726, 2728, 2729, 2731, 2733, 2734, 2736, 2738,
+	2739, 2741, 2742, 2744, 2746, 2747, 2749, 2751, 2752, 2754, 2755, 2757, 2759, 2760, 2762, 2764,
+	2765, 2767, 2769, 2770, 2772, 2773, 2775, 2777, 2778, 2780, 2782, 2783, 2785, 2787, 2788, 2790,
+	2791, 2793, 2795, 2796, 2798, 2800, 2801, 2803, 2805, 2806, 2808, 2810, 2811, 2813, 2814, 2816,
+	2818, 2819, 2821, 2823, 2824, 2826, 2828, 2829, 2831, 2833, 2834, 2836, 2838, 2839, 2841, 2843,
+	2844, 2846, 2848, 2849, 2851, 2853, 2854, 2856, 2857, 2859, 2861, 2862, 2864, 2866, 2867, 2869,
+	2871, 2872, 2874, 2876, 2877, 2879, 2881, 2882, 2884, 2886, 2888, 2889, 2891, 2893, 2894, 2896,
+	2898, 2899, 2901, 2903, 2904, 2906, 2908, 2909, 2911, 2913, 2914, 2916, 2918, 2919, 2921, 2923,
+	2924, 2926, 2928, 2929, 2931, 2933, 2935, 2936, 2938, 2940, 2941, 2943, 2945, 2946, 2948, 2950,
+	2951, 2953, 2955, 2956, 2958, 2960, 2962, 2963, 2965, 2967, 2968, 2970, 2972, 2973, 2975, 2977,
+	2979, 2980, 2982, 2984, 2985, 2987, 2989, 2990, 2992, 2994, 2996, 2997, 2999, 3001, 3002, 3004,
+	3006, 3008, 3009, 3011, 3013, 3014, 3016, 3018, 3020, 3021, 3023, 3025, 3026, 3028, 3030, 3032,
+	3033, 3035, 3037, 3038, 3040, 3042, 3044, 3045, 3047, 3049, 3050, 3052, 3054, 3056, 3057, 3059,
+	3061, 3063, 3064, 3066, 3068, 3069, 3071, 3073, 3075, 3076, 3078, 3080, 3082, 3083, 3085, 3087,
+	3089, 3090, 3092, 3094, 3095, 3097, 3099, 3101, 3102, 3104, 3106, 3108, 3109, 3111, 3113, 3115,
+	3116, 3118, 3120, 3122, 3123, 3125, 3127, 3129, 3130, 3132, 3134, 3136, 3137, 3139, 3141, 3143,
+	3144, 3146, 3148, 3150, 3151, 3153, 3155, 3157, 3158, 3160, 3162, 3164, 3165, 3167, 3169, 3171,
+	3172, 3174, 3176, 3178, 3179, 3181, 3183, 3185, 3187, 3188, 3190, 3192, 3194, 3195, 3197, 3199,
+	3201, 3202, 3204, 3206, 3208, 3209, 3211, 3213, 3215, 3217, 3218, 3220, 3222, 3224, 3225, 3227,
+	3229, 3231, 3233, 3234, 3236, 3238, 3240, 3241, 3243, 3245, 3247, 3249, 3250, 3252, 3254, 3256,
+	3258, 3259, 3261, 3263, 3265, 3266, 3268, 3270, 3272, 3274, 3275, 3277, 3279, 3281, 3283, 3284,
+	3286, 3288, 3290, 3292, 3293, 3295, 3297, 3299, 3301, 3302, 3304, 3306, 3308, 3310, 3311, 3313,
+	3315, 3317, 3319, 3320, 3322, 3324, 3326, 3328, 3329, 3331, 3333, 3335, 3337, 3338, 3340, 3342,
+	3344, 3346, 3348, 3349, 3351, 3353, 3355, 3357, 3358, 3360, 3362, 3364, 3366, 3368, 3369, 3371,
+	3373, 3375, 3377, 3378, 3380, 3382, 3384, 3386, 3388, 3389, 3391, 3393, 3395, 3397, 3399, 3400,
+	3402, 3404, 3406, 3408, 3410, 3411, 3413, 3415, 3417, 3419, 3421, 3422, 3424, 3426, 3428, 3430,
+	3432, 3433, 3435, 3437, 3439, 3441, 3443, 3444, 3446, 3448, 3450, 3452, 3454, 3455, 3457, 3459,
+	3461, 3463, 3465, 3467, 3468, 3470, 3472, 3474, 3476, 3478, 3480, 3481, 3483, 3485, 3487, 3489,
+	3491, 3492, 3494, 3496, 3498, 3500, 3502, 3504, 3506, 3507, 3509, 3511, 3513, 3515, 3517, 3519,
+	3520, 3522, 3524, 3526, 3528, 3530, 3532, 3533, 3535, 3537, 3539, 3541, 3543, 3545, 3547, 3548,
+	3550, 3552, 3554, 3556, 3558, 3560, 3562, 3563, 3565, 3567, 3569, 3571, 3573, 3575, 3577, 3578,
+	3580, 3582, 3584, 3586, 3588, 3590, 3592, 3594, 3595, 3597, 3599, 3601, 3603, 3605, 3607, 3609,
+	3611, 3612, 3614, 3616, 3618, 3620, 3622, 3624, 3626, 3628, 3629, 3631, 3633, 3635, 3637, 3639,
+	3641, 3643, 3645, 3647, 3648, 3650, 3652, 3654, 3656, 3658, 3660, 3662, 3664, 3666, 3667, 3669,
+	3671, 3673, 3675, 3677, 3679, 3681, 3683, 3685, 3687, 3688, 3690, 3692, 3694, 3696, 3698, 3700,
+	3702, 3704, 3706, 3708, 3710, 3711, 3713, 3715, 3717, 3719, 3721, 3723, 3725, 3727, 3729, 3731,
+	3733, 3735, 3736, 3738, 3740, 3742, 3744, 3746, 3748, 3750, 3752, 3754, 3756, 3758, 3760, 3762,
+	3764, 3765, 3767, 3769, 3771, 3773, 3775, 3777, 3779, 3781, 3783, 3785, 3787, 3789, 3791, 3793,
+	3795, 3796, 3798, 3800, 3802, 3804, 3806, 3808, 3810, 3812, 3814, 3816, 3818, 3820, 3822, 3824,
+	3826, 3828, 3830, 3832, 3833, 3835, 3837, 3839, 3841, 3843, 3845, 3847, 3849, 3851, 3853, 3855,
+	3857, 3859, 3861, 3863, 3865, 3867, 3869, 3871, 3873, 3875, 3877, 3879, 3881, 3883, 3884, 3886,
+	3888, 3890, 3892, 3894, 3896, 3898, 3900, 3902, 3904, 3906, 3908, 3910, 3912, 3914, 3916, 3918,
+	3920, 3922, 3924, 3926, 3928, 3930, 3932, 3934, 3936, 3938, 3940, 3942, 3944, 3946, 3948, 3950,
+	3952, 3954, 3956, 3958, 3960, 3962, 3964, 3966, 3968, 3970, 3972, 3974, 3976, 3978, 3980, 3982,
+	3984, 3986, 3988, 3990, 3992, 3994, 3996, 3998, 4000, 4002, 4004, 4006, 4008, 4010, 4012, 4014,
+	4016, 4018, 4020, 4022, 4024, 4026, 4028, 4030, 4032, 4034, 4036, 4038, 4040, 4042, 4044, 4046,
+	4048, 4050, 4052, 4054, 4056, 4058, 4060, 4062, 4064, 4066, 4068, 4070, 4072, 4074, 4076, 4078,
+	4080,
+};
+
+/* Generated table */
+const unsigned short tpg_linear_to_rec709[255 * 16 + 1] = {
+	   0,    5,    9,   14,   18,   22,   27,   32,   36,   41,   45,   50,   54,   59,   63,   68,
+	  72,   77,   81,   86,   90,   95,   99,  104,  108,  113,  117,  122,  126,  131,  135,  139,
+	 144,  149,  153,  158,  162,  167,  171,  176,  180,  185,  189,  194,  198,  203,  207,  212,
+	 216,  221,  225,  230,  234,  239,  243,  248,  252,  257,  261,  266,  270,  275,  279,  284,
+	 288,  293,  297,  302,  306,  311,  315,  320,  324,  328,  334,  338,  343,  347,  352,  356,
+	 360,  365,  369,  373,  377,  381,  386,  390,  394,  398,  402,  406,  410,  414,  418,  422,
+	 426,  430,  433,  437,  441,  445,  449,  452,  456,  460,  464,  467,  471,  475,  478,  482,
+	 485,  489,  492,  496,  499,  503,  506,  510,  513,  517,  520,  524,  527,  530,  534,  537,
+	 540,  544,  547,  550,  554,  557,  560,  563,  566,  570,  573,  576,  579,  582,  586,  589,
+	 592,  595,  598,  601,  604,  607,  610,  613,  616,  619,  622,  625,  628,  631,  634,  637,
+	 640,  643,  646,  649,  652,  655,  658,  660,  663,  666,  669,  672,  675,  677,  680,  683,
+	 686,  689,  691,  694,  697,  700,  702,  705,  708,  711,  713,  716,  719,  721,  724,  727,
+	 729,  732,  735,  737,  740,  743,  745,  748,  750,  753,  756,  758,  761,  763,  766,  768,
+	 771,  773,  776,  779,  781,  784,  786,  789,  791,  794,  796,  799,  801,  803,  806,  808,
+	 811,  813,  816,  818,  821,  823,  825,  828,  830,  833,  835,  837,  840,  842,  844,  847,
+	 849,  851,  854,  856,  858,  861,  863,  865,  868,  870,  872,  875,  877,  879,  881,  884,
+	 886,  888,  891,  893,  895,  897,  900,  902,  904,  906,  908,  911,  913,  915,  917,  919,
+	 922,  924,  926,  928,  930,  933,  935,  937,  939,  941,  943,  946,  948,  950,  952,  954,
+	 956,  958,  960,  963,  965,  967,  969,  971,  973,  975,  977,  979,  981,  984,  986,  988,
+	 990,  992,  994,  996,  998, 1000, 1002, 1004, 1006, 1008, 1010, 1012, 1014, 1016, 1018, 1020,
+	1022, 1024, 1026, 1028, 1030, 1032, 1034, 1036, 1038, 1040, 1042, 1044, 1046, 1048, 1050, 1052,
+	1054, 1056, 1058, 1060, 1062, 1064, 1066, 1068, 1069, 1071, 1073, 1075, 1077, 1079, 1081, 1083,
+	1085, 1087, 1089, 1090, 1092, 1094, 1096, 1098, 1100, 1102, 1104, 1106, 1107, 1109, 1111, 1113,
+	1115, 1117, 1119, 1120, 1122, 1124, 1126, 1128, 1130, 1131, 1133, 1135, 1137, 1139, 1141, 1142,
+	1144, 1146, 1148, 1150, 1151, 1153, 1155, 1157, 1159, 1160, 1162, 1164, 1166, 1168, 1169, 1171,
+	1173, 1175, 1176, 1178, 1180, 1182, 1184, 1185, 1187, 1189, 1191, 1192, 1194, 1196, 1198, 1199,
+	1201, 1203, 1204, 1206, 1208, 1210, 1211, 1213, 1215, 1217, 1218, 1220, 1222, 1223, 1225, 1227,
+	1228, 1230, 1232, 1234, 1235, 1237, 1239, 1240, 1242, 1244, 1245, 1247, 1249, 1250, 1252, 1254,
+	1255, 1257, 1259, 1260, 1262, 1264, 1265, 1267, 1269, 1270, 1272, 1274, 1275, 1277, 1279, 1280,
+	1282, 1283, 1285, 1287, 1288, 1290, 1292, 1293, 1295, 1296, 1298, 1300, 1301, 1303, 1305, 1306,
+	1308, 1309, 1311, 1313, 1314, 1316, 1317, 1319, 1321, 1322, 1324, 1325, 1327, 1328, 1330, 1332,
+	1333, 1335, 1336, 1338, 1339, 1341, 1343, 1344, 1346, 1347, 1349, 1350, 1352, 1354, 1355, 1357,
+	1358, 1360, 1361, 1363, 1364, 1366, 1367, 1369, 1371, 1372, 1374, 1375, 1377, 1378, 1380, 1381,
+	1383, 1384, 1386, 1387, 1389, 1390, 1392, 1393, 1395, 1396, 1398, 1399, 1401, 1402, 1404, 1405,
+	1407, 1408, 1410, 1411, 1413, 1414, 1416, 1417, 1419, 1420, 1422, 1423, 1425, 1426, 1428, 1429,
+	1431, 1432, 1434, 1435, 1437, 1438, 1440, 1441, 1442, 1444, 1445, 1447, 1448, 1450, 1451, 1453,
+	1454, 1456, 1457, 1458, 1460, 1461, 1463, 1464, 1466, 1467, 1469, 1470, 1471, 1473, 1474, 1476,
+	1477, 1479, 1480, 1481, 1483, 1484, 1486, 1487, 1489, 1490, 1491, 1493, 1494, 1496, 1497, 1498,
+	1500, 1501, 1503, 1504, 1505, 1507, 1508, 1510, 1511, 1512, 1514, 1515, 1517, 1518, 1519, 1521,
+	1522, 1524, 1525, 1526, 1528, 1529, 1531, 1532, 1533, 1535, 1536, 1537, 1539, 1540, 1542, 1543,
+	1544, 1546, 1547, 1548, 1550, 1551, 1553, 1554, 1555, 1557, 1558, 1559, 1561, 1562, 1563, 1565,
+	1566, 1567, 1569, 1570, 1571, 1573, 1574, 1576, 1577, 1578, 1580, 1581, 1582, 1584, 1585, 1586,
+	1588, 1589, 1590, 1592, 1593, 1594, 1596, 1597, 1598, 1600, 1601, 1602, 1603, 1605, 1606, 1607,
+	1609, 1610, 1611, 1613, 1614, 1615, 1617, 1618, 1619, 1621, 1622, 1623, 1624, 1626, 1627, 1628,
+	1630, 1631, 1632, 1634, 1635, 1636, 1637, 1639, 1640, 1641, 1643, 1644, 1645, 1647, 1648, 1649,
+	1650, 1652, 1653, 1654, 1655, 1657, 1658, 1659, 1661, 1662, 1663, 1664, 1666, 1667, 1668, 1670,
+	1671, 1672, 1673, 1675, 1676, 1677, 1678, 1680, 1681, 1682, 1683, 1685, 1686, 1687, 1688, 1690,
+	1691, 1692, 1693, 1695, 1696, 1697, 1698, 1700, 1701, 1702, 1703, 1705, 1706, 1707, 1708, 1710,
+	1711, 1712, 1713, 1715, 1716, 1717, 1718, 1720, 1721, 1722, 1723, 1724, 1726, 1727, 1728, 1729,
+	1731, 1732, 1733, 1734, 1736, 1737, 1738, 1739, 1740, 1742, 1743, 1744, 1745, 1746, 1748, 1749,
+	1750, 1751, 1753, 1754, 1755, 1756, 1757, 1759, 1760, 1761, 1762, 1763, 1765, 1766, 1767, 1768,
+	1769, 1771, 1772, 1773, 1774, 1775, 1777, 1778, 1779, 1780, 1781, 1783, 1784, 1785, 1786, 1787,
+	1788, 1790, 1791, 1792, 1793, 1794, 1796, 1797, 1798, 1799, 1800, 1801, 1803, 1804, 1805, 1806,
+	1807, 1809, 1810, 1811, 1812, 1813, 1814, 1816, 1817, 1818, 1819, 1820, 1821, 1823, 1824, 1825,
+	1826, 1827, 1828, 1829, 1831, 1832, 1833, 1834, 1835, 1836, 1838, 1839, 1840, 1841, 1842, 1843,
+	1845, 1846, 1847, 1848, 1849, 1850, 1851, 1853, 1854, 1855, 1856, 1857, 1858, 1859, 1861, 1862,
+	1863, 1864, 1865, 1866, 1867, 1868, 1870, 1871, 1872, 1873, 1874, 1875, 1876, 1878, 1879, 1880,
+	1881, 1882, 1883, 1884, 1885, 1887, 1888, 1889, 1890, 1891, 1892, 1893, 1894, 1896, 1897, 1898,
+	1899, 1900, 1901, 1902, 1903, 1904, 1906, 1907, 1908, 1909, 1910, 1911, 1912, 1913, 1914, 1916,
+	1917, 1918, 1919, 1920, 1921, 1922, 1923, 1924, 1925, 1927, 1928, 1929, 1930, 1931, 1932, 1933,
+	1934, 1935, 1936, 1938, 1939, 1940, 1941, 1942, 1943, 1944, 1945, 1946, 1947, 1948, 1950, 1951,
+	1952, 1953, 1954, 1955, 1956, 1957, 1958, 1959, 1960, 1961, 1963, 1964, 1965, 1966, 1967, 1968,
+	1969, 1970, 1971, 1972, 1973, 1974, 1975, 1977, 1978, 1979, 1980, 1981, 1982, 1983, 1984, 1985,
+	1986, 1987, 1988, 1989, 1990, 1992, 1993, 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002,
+	2003, 2004, 2005, 2006, 2007, 2008, 2010, 2011, 2012, 2013, 2014, 2015, 2016, 2017, 2018, 2019,
+	2020, 2021, 2022, 2023, 2024, 2025, 2026, 2027, 2028, 2029, 2031, 2032, 2033, 2034, 2035, 2036,
+	2037, 2038, 2039, 2040, 2041, 2042, 2043, 2044, 2045, 2046, 2047, 2048, 2049, 2050, 2051, 2052,
+	2053, 2054, 2055, 2056, 2057, 2058, 2060, 2061, 2062, 2063, 2064, 2065, 2066, 2067, 2068, 2069,
+	2070, 2071, 2072, 2073, 2074, 2075, 2076, 2077, 2078, 2079, 2080, 2081, 2082, 2083, 2084, 2085,
+	2086, 2087, 2088, 2089, 2090, 2091, 2092, 2093, 2094, 2095, 2096, 2097, 2098, 2099, 2100, 2101,
+	2102, 2103, 2104, 2105, 2106, 2107, 2108, 2109, 2110, 2111, 2112, 2113, 2114, 2115, 2116, 2117,
+	2118, 2119, 2120, 2121, 2122, 2123, 2124, 2125, 2126, 2127, 2128, 2129, 2130, 2131, 2132, 2133,
+	2134, 2135, 2136, 2137, 2138, 2139, 2140, 2141, 2142, 2143, 2144, 2145, 2146, 2147, 2148, 2149,
+	2150, 2151, 2152, 2153, 2154, 2155, 2156, 2157, 2158, 2159, 2160, 2161, 2162, 2163, 2164, 2165,
+	2166, 2167, 2168, 2169, 2170, 2171, 2172, 2173, 2173, 2174, 2175, 2176, 2177, 2178, 2179, 2180,
+	2181, 2182, 2183, 2184, 2185, 2186, 2187, 2188, 2189, 2190, 2191, 2192, 2193, 2194, 2195, 2196,
+	2197, 2198, 2199, 2200, 2201, 2202, 2202, 2203, 2204, 2205, 2206, 2207, 2208, 2209, 2210, 2211,
+	2212, 2213, 2214, 2215, 2216, 2217, 2218, 2219, 2220, 2221, 2222, 2223, 2224, 2224, 2225, 2226,
+	2227, 2228, 2229, 2230, 2231, 2232, 2233, 2234, 2235, 2236, 2237, 2238, 2239, 2240, 2241, 2241,
+	2242, 2243, 2244, 2245, 2246, 2247, 2248, 2249, 2250, 2251, 2252, 2253, 2254, 2255, 2256, 2257,
+	2257, 2258, 2259, 2260, 2261, 2262, 2263, 2264, 2265, 2266, 2267, 2268, 2269, 2270, 2271, 2271,
+	2272, 2273, 2274, 2275, 2276, 2277, 2278, 2279, 2280, 2281, 2282, 2283, 2283, 2284, 2285, 2286,
+	2287, 2288, 2289, 2290, 2291, 2292, 2293, 2294, 2295, 2295, 2296, 2297, 2298, 2299, 2300, 2301,
+	2302, 2303, 2304, 2305, 2306, 2306, 2307, 2308, 2309, 2310, 2311, 2312, 2313, 2314, 2315, 2316,
+	2317, 2317, 2318, 2319, 2320, 2321, 2322, 2323, 2324, 2325, 2326, 2327, 2327, 2328, 2329, 2330,
+	2331, 2332, 2333, 2334, 2335, 2336, 2336, 2337, 2338, 2339, 2340, 2341, 2342, 2343, 2344, 2345,
+	2345, 2346, 2347, 2348, 2349, 2350, 2351, 2352, 2353, 2354, 2354, 2355, 2356, 2357, 2358, 2359,
+	2360, 2361, 2362, 2363, 2363, 2364, 2365, 2366, 2367, 2368, 2369, 2370, 2371, 2371, 2372, 2373,
+	2374, 2375, 2376, 2377, 2378, 2379, 2379, 2380, 2381, 2382, 2383, 2384, 2385, 2386, 2386, 2387,
+	2388, 2389, 2390, 2391, 2392, 2393, 2394, 2394, 2395, 2396, 2397, 2398, 2399, 2400, 2401, 2401,
+	2402, 2403, 2404, 2405, 2406, 2407, 2408, 2408, 2409, 2410, 2411, 2412, 2413, 2414, 2415, 2415,
+	2416, 2417, 2418, 2419, 2420, 2421, 2422, 2422, 2423, 2424, 2425, 2426, 2427, 2428, 2428, 2429,
+	2430, 2431, 2432, 2433, 2434, 2435, 2435, 2436, 2437, 2438, 2439, 2440, 2441, 2441, 2442, 2443,
+	2444, 2445, 2446, 2447, 2447, 2448, 2449, 2450, 2451, 2452, 2453, 2453, 2454, 2455, 2456, 2457,
+	2458, 2459, 2459, 2460, 2461, 2462, 2463, 2464, 2465, 2465, 2466, 2467, 2468, 2469, 2470, 2471,
+	2471, 2472, 2473, 2474, 2475, 2476, 2477, 2477, 2478, 2479, 2480, 2481, 2482, 2482, 2483, 2484,
+	2485, 2486, 2487, 2488, 2488, 2489, 2490, 2491, 2492, 2493, 2493, 2494, 2495, 2496, 2497, 2498,
+	2499, 2499, 2500, 2501, 2502, 2503, 2504, 2504, 2505, 2506, 2507, 2508, 2509, 2509, 2510, 2511,
+	2512, 2513, 2514, 2514, 2515, 2516, 2517, 2518, 2519, 2519, 2520, 2521, 2522, 2523, 2524, 2524,
+	2525, 2526, 2527, 2528, 2529, 2529, 2530, 2531, 2532, 2533, 2534, 2534, 2535, 2536, 2537, 2538,
+	2539, 2539, 2540, 2541, 2542, 2543, 2544, 2544, 2545, 2546, 2547, 2548, 2548, 2549, 2550, 2551,
+	2552, 2553, 2553, 2554, 2555, 2556, 2557, 2558, 2558, 2559, 2560, 2561, 2562, 2562, 2563, 2564,
+	2565, 2566, 2567, 2567, 2568, 2569, 2570, 2571, 2571, 2572, 2573, 2574, 2575, 2576, 2576, 2577,
+	2578, 2579, 2580, 2580, 2581, 2582, 2583, 2584, 2584, 2585, 2586, 2587, 2588, 2589, 2589, 2590,
+	2591, 2592, 2593, 2593, 2594, 2595, 2596, 2597, 2597, 2598, 2599, 2600, 2601, 2601, 2602, 2603,
+	2604, 2605, 2605, 2606, 2607, 2608, 2609, 2610, 2610, 2611, 2612, 2613, 2614, 2614, 2615, 2616,
+	2617, 2618, 2618, 2619, 2620, 2621, 2622, 2622, 2623, 2624, 2625, 2626, 2626, 2627, 2628, 2629,
+	2630, 2630, 2631, 2632, 2633, 2634, 2634, 2635, 2636, 2637, 2637, 2638, 2639, 2640, 2641, 2641,
+	2642, 2643, 2644, 2645, 2645, 2646, 2647, 2648, 2649, 2649, 2650, 2651, 2652, 2653, 2653, 2654,
+	2655, 2656, 2656, 2657, 2658, 2659, 2660, 2660, 2661, 2662, 2663, 2664, 2664, 2665, 2666, 2667,
+	2668, 2668, 2669, 2670, 2671, 2671, 2672, 2673, 2674, 2675, 2675, 2676, 2677, 2678, 2678, 2679,
+	2680, 2681, 2682, 2682, 2683, 2684, 2685, 2686, 2686, 2687, 2688, 2689, 2689, 2690, 2691, 2692,
+	2693, 2693, 2694, 2695, 2696, 2696, 2697, 2698, 2699, 2700, 2700, 2701, 2702, 2703, 2703, 2704,
+	2705, 2706, 2706, 2707, 2708, 2709, 2710, 2710, 2711, 2712, 2713, 2713, 2714, 2715, 2716, 2717,
+	2717, 2718, 2719, 2720, 2720, 2721, 2722, 2723, 2723, 2724, 2725, 2726, 2727, 2727, 2728, 2729,
+	2730, 2730, 2731, 2732, 2733, 2733, 2734, 2735, 2736, 2736, 2737, 2738, 2739, 2740, 2740, 2741,
+	2742, 2743, 2743, 2744, 2745, 2746, 2746, 2747, 2748, 2749, 2749, 2750, 2751, 2752, 2752, 2753,
+	2754, 2755, 2755, 2756, 2757, 2758, 2759, 2759, 2760, 2761, 2762, 2762, 2763, 2764, 2765, 2765,
+	2766, 2767, 2768, 2768, 2769, 2770, 2771, 2771, 2772, 2773, 2774, 2774, 2775, 2776, 2777, 2777,
+	2778, 2779, 2780, 2780, 2781, 2782, 2783, 2783, 2784, 2785, 2786, 2786, 2787, 2788, 2789, 2789,
+	2790, 2791, 2792, 2792, 2793, 2794, 2795, 2795, 2796, 2797, 2798, 2798, 2799, 2800, 2801, 2801,
+	2802, 2803, 2804, 2804, 2805, 2806, 2807, 2807, 2808, 2809, 2810, 2810, 2811, 2812, 2813, 2813,
+	2814, 2815, 2815, 2816, 2817, 2818, 2818, 2819, 2820, 2821, 2821, 2822, 2823, 2824, 2824, 2825,
+	2826, 2827, 2827, 2828, 2829, 2830, 2830, 2831, 2832, 2832, 2833, 2834, 2835, 2835, 2836, 2837,
+	2838, 2838, 2839, 2840, 2841, 2841, 2842, 2843, 2844, 2844, 2845, 2846, 2846, 2847, 2848, 2849,
+	2849, 2850, 2851, 2852, 2852, 2853, 2854, 2855, 2855, 2856, 2857, 2857, 2858, 2859, 2860, 2860,
+	2861, 2862, 2863, 2863, 2864, 2865, 2865, 2866, 2867, 2868, 2868, 2869, 2870, 2871, 2871, 2872,
+	2873, 2873, 2874, 2875, 2876, 2876, 2877, 2878, 2879, 2879, 2880, 2881, 2881, 2882, 2883, 2884,
+	2884, 2885, 2886, 2886, 2887, 2888, 2889, 2889, 2890, 2891, 2892, 2892, 2893, 2894, 2894, 2895,
+	2896, 2897, 2897, 2898, 2899, 2899, 2900, 2901, 2902, 2902, 2903, 2904, 2904, 2905, 2906, 2907,
+	2907, 2908, 2909, 2909, 2910, 2911, 2912, 2912, 2913, 2914, 2914, 2915, 2916, 2917, 2917, 2918,
+	2919, 2919, 2920, 2921, 2922, 2922, 2923, 2924, 2924, 2925, 2926, 2927, 2927, 2928, 2929, 2929,
+	2930, 2931, 2932, 2932, 2933, 2934, 2934, 2935, 2936, 2937, 2937, 2938, 2939, 2939, 2940, 2941,
+	2941, 2942, 2943, 2944, 2944, 2945, 2946, 2946, 2947, 2948, 2949, 2949, 2950, 2951, 2951, 2952,
+	2953, 2953, 2954, 2955, 2956, 2956, 2957, 2958, 2958, 2959, 2960, 2961, 2961, 2962, 2963, 2963,
+	2964, 2965, 2965, 2966, 2967, 2968, 2968, 2969, 2970, 2970, 2971, 2972, 2972, 2973, 2974, 2975,
+	2975, 2976, 2977, 2977, 2978, 2979, 2979, 2980, 2981, 2982, 2982, 2983, 2984, 2984, 2985, 2986,
+	2986, 2987, 2988, 2988, 2989, 2990, 2991, 2991, 2992, 2993, 2993, 2994, 2995, 2995, 2996, 2997,
+	2998, 2998, 2999, 3000, 3000, 3001, 3002, 3002, 3003, 3004, 3004, 3005, 3006, 3006, 3007, 3008,
+	3009, 3009, 3010, 3011, 3011, 3012, 3013, 3013, 3014, 3015, 3015, 3016, 3017, 3018, 3018, 3019,
+	3020, 3020, 3021, 3022, 3022, 3023, 3024, 3024, 3025, 3026, 3026, 3027, 3028, 3029, 3029, 3030,
+	3031, 3031, 3032, 3033, 3033, 3034, 3035, 3035, 3036, 3037, 3037, 3038, 3039, 3039, 3040, 3041,
+	3042, 3042, 3043, 3044, 3044, 3045, 3046, 3046, 3047, 3048, 3048, 3049, 3050, 3050, 3051, 3052,
+	3052, 3053, 3054, 3054, 3055, 3056, 3056, 3057, 3058, 3059, 3059, 3060, 3061, 3061, 3062, 3063,
+	3063, 3064, 3065, 3065, 3066, 3067, 3067, 3068, 3069, 3069, 3070, 3071, 3071, 3072, 3073, 3073,
+	3074, 3075, 3075, 3076, 3077, 3077, 3078, 3079, 3079, 3080, 3081, 3081, 3082, 3083, 3084, 3084,
+	3085, 3086, 3086, 3087, 3088, 3088, 3089, 3090, 3090, 3091, 3092, 3092, 3093, 3094, 3094, 3095,
+	3096, 3096, 3097, 3098, 3098, 3099, 3100, 3100, 3101, 3102, 3102, 3103, 3104, 3104, 3105, 3106,
+	3106, 3107, 3108, 3108, 3109, 3110, 3110, 3111, 3112, 3112, 3113, 3114, 3114, 3115, 3116, 3116,
+	3117, 3118, 3118, 3119, 3120, 3120, 3121, 3122, 3122, 3123, 3124, 3124, 3125, 3126, 3126, 3127,
+	3128, 3128, 3129, 3130, 3130, 3131, 3132, 3132, 3133, 3134, 3134, 3135, 3135, 3136, 3137, 3137,
+	3138, 3139, 3139, 3140, 3141, 3141, 3142, 3143, 3143, 3144, 3145, 3145, 3146, 3147, 3147, 3148,
+	3149, 3149, 3150, 3151, 3151, 3152, 3153, 3153, 3154, 3155, 3155, 3156, 3157, 3157, 3158, 3159,
+	3159, 3160, 3160, 3161, 3162, 3162, 3163, 3164, 3164, 3165, 3166, 3166, 3167, 3168, 3168, 3169,
+	3170, 3170, 3171, 3172, 3172, 3173, 3174, 3174, 3175, 3175, 3176, 3177, 3177, 3178, 3179, 3179,
+	3180, 3181, 3181, 3182, 3183, 3183, 3184, 3185, 3185, 3186, 3187, 3187, 3188, 3188, 3189, 3190,
+	3190, 3191, 3192, 3192, 3193, 3194, 3194, 3195, 3196, 3196, 3197, 3198, 3198, 3199, 3199, 3200,
+	3201, 3201, 3202, 3203, 3203, 3204, 3205, 3205, 3206, 3207, 3207, 3208, 3209, 3209, 3210, 3210,
+	3211, 3212, 3212, 3213, 3214, 3214, 3215, 3216, 3216, 3217, 3218, 3218, 3219, 3219, 3220, 3221,
+	3221, 3222, 3223, 3223, 3224, 3225, 3225, 3226, 3227, 3227, 3228, 3228, 3229, 3230, 3230, 3231,
+	3232, 3232, 3233, 3234, 3234, 3235, 3235, 3236, 3237, 3237, 3238, 3239, 3239, 3240, 3241, 3241,
+	3242, 3242, 3243, 3244, 3244, 3245, 3246, 3246, 3247, 3248, 3248, 3249, 3249, 3250, 3251, 3251,
+	3252, 3253, 3253, 3254, 3255, 3255, 3256, 3256, 3257, 3258, 3258, 3259, 3260, 3260, 3261, 3262,
+	3262, 3263, 3263, 3264, 3265, 3265, 3266, 3267, 3267, 3268, 3268, 3269, 3270, 3270, 3271, 3272,
+	3272, 3273, 3274, 3274, 3275, 3275, 3276, 3277, 3277, 3278, 3279, 3279, 3280, 3280, 3281, 3282,
+	3282, 3283, 3284, 3284, 3285, 3285, 3286, 3287, 3287, 3288, 3289, 3289, 3290, 3290, 3291, 3292,
+	3292, 3293, 3294, 3294, 3295, 3295, 3296, 3297, 3297, 3298, 3299, 3299, 3300, 3300, 3301, 3302,
+	3302, 3303, 3304, 3304, 3305, 3305, 3306, 3307, 3307, 3308, 3309, 3309, 3310, 3310, 3311, 3312,
+	3312, 3313, 3314, 3314, 3315, 3315, 3316, 3317, 3317, 3318, 3319, 3319, 3320, 3320, 3321, 3322,
+	3322, 3323, 3323, 3324, 3325, 3325, 3326, 3327, 3327, 3328, 3328, 3329, 3330, 3330, 3331, 3332,
+	3332, 3333, 3333, 3334, 3335, 3335, 3336, 3336, 3337, 3338, 3338, 3339, 3340, 3340, 3341, 3341,
+	3342, 3343, 3343, 3344, 3345, 3345, 3346, 3346, 3347, 3348, 3348, 3349, 3349, 3350, 3351, 3351,
+	3352, 3352, 3353, 3354, 3354, 3355, 3356, 3356, 3357, 3357, 3358, 3359, 3359, 3360, 3360, 3361,
+	3362, 3362, 3363, 3364, 3364, 3365, 3365, 3366, 3367, 3367, 3368, 3368, 3369, 3370, 3370, 3371,
+	3371, 3372, 3373, 3373, 3374, 3375, 3375, 3376, 3376, 3377, 3378, 3378, 3379, 3379, 3380, 3381,
+	3381, 3382, 3382, 3383, 3384, 3384, 3385, 3385, 3386, 3387, 3387, 3388, 3389, 3389, 3390, 3390,
+	3391, 3392, 3392, 3393, 3393, 3394, 3395, 3395, 3396, 3396, 3397, 3398, 3398, 3399, 3399, 3400,
+	3401, 3401, 3402, 3402, 3403, 3404, 3404, 3405, 3405, 3406, 3407, 3407, 3408, 3408, 3409, 3410,
+	3410, 3411, 3411, 3412, 3413, 3413, 3414, 3414, 3415, 3416, 3416, 3417, 3418, 3418, 3419, 3419,
+	3420, 3421, 3421, 3422, 3422, 3423, 3424, 3424, 3425, 3425, 3426, 3427, 3427, 3428, 3428, 3429,
+	3430, 3430, 3431, 3431, 3432, 3433, 3433, 3434, 3434, 3435, 3435, 3436, 3437, 3437, 3438, 3438,
+	3439, 3440, 3440, 3441, 3441, 3442, 3443, 3443, 3444, 3444, 3445, 3446, 3446, 3447, 3447, 3448,
+	3449, 3449, 3450, 3450, 3451, 3452, 3452, 3453, 3453, 3454, 3455, 3455, 3456, 3456, 3457, 3458,
+	3458, 3459, 3459, 3460, 3461, 3461, 3462, 3462, 3463, 3463, 3464, 3465, 3465, 3466, 3466, 3467,
+	3468, 3468, 3469, 3469, 3470, 3471, 3471, 3472, 3472, 3473, 3474, 3474, 3475, 3475, 3476, 3476,
+	3477, 3478, 3478, 3479, 3479, 3480, 3481, 3481, 3482, 3482, 3483, 3484, 3484, 3485, 3485, 3486,
+	3486, 3487, 3488, 3488, 3489, 3489, 3490, 3491, 3491, 3492, 3492, 3493, 3494, 3494, 3495, 3495,
+	3496, 3496, 3497, 3498, 3498, 3499, 3499, 3500, 3501, 3501, 3502, 3502, 3503, 3504, 3504, 3505,
+	3505, 3506, 3506, 3507, 3508, 3508, 3509, 3509, 3510, 3511, 3511, 3512, 3512, 3513, 3513, 3514,
+	3515, 3515, 3516, 3516, 3517, 3518, 3518, 3519, 3519, 3520, 3520, 3521, 3522, 3522, 3523, 3523,
+	3524, 3525, 3525, 3526, 3526, 3527, 3527, 3528, 3529, 3529, 3530, 3530, 3531, 3531, 3532, 3533,
+	3533, 3534, 3534, 3535, 3536, 3536, 3537, 3537, 3538, 3538, 3539, 3540, 3540, 3541, 3541, 3542,
+	3542, 3543, 3544, 3544, 3545, 3545, 3546, 3547, 3547, 3548, 3548, 3549, 3549, 3550, 3551, 3551,
+	3552, 3552, 3553, 3553, 3554, 3555, 3555, 3556, 3556, 3557, 3557, 3558, 3559, 3559, 3560, 3560,
+	3561, 3561, 3562, 3563, 3563, 3564, 3564, 3565, 3566, 3566, 3567, 3567, 3568, 3568, 3569, 3570,
+	3570, 3571, 3571, 3572, 3572, 3573, 3574, 3574, 3575, 3575, 3576, 3576, 3577, 3578, 3578, 3579,
+	3579, 3580, 3580, 3581, 3582, 3582, 3583, 3583, 3584, 3584, 3585, 3586, 3586, 3587, 3587, 3588,
+	3588, 3589, 3590, 3590, 3591, 3591, 3592, 3592, 3593, 3594, 3594, 3595, 3595, 3596, 3596, 3597,
+	3597, 3598, 3599, 3599, 3600, 3600, 3601, 3601, 3602, 3603, 3603, 3604, 3604, 3605, 3605, 3606,
+	3607, 3607, 3608, 3608, 3609, 3609, 3610, 3611, 3611, 3612, 3612, 3613, 3613, 3614, 3615, 3615,
+	3616, 3616, 3617, 3617, 3618, 3618, 3619, 3620, 3620, 3621, 3621, 3622, 3622, 3623, 3624, 3624,
+	3625, 3625, 3626, 3626, 3627, 3627, 3628, 3629, 3629, 3630, 3630, 3631, 3631, 3632, 3633, 3633,
+	3634, 3634, 3635, 3635, 3636, 3636, 3637, 3638, 3638, 3639, 3639, 3640, 3640, 3641, 3642, 3642,
+	3643, 3643, 3644, 3644, 3645, 3645, 3646, 3647, 3647, 3648, 3648, 3649, 3649, 3650, 3650, 3651,
+	3652, 3652, 3653, 3653, 3654, 3654, 3655, 3656, 3656, 3657, 3657, 3658, 3658, 3659, 3659, 3660,
+	3661, 3661, 3662, 3662, 3663, 3663, 3664, 3664, 3665, 3666, 3666, 3667, 3667, 3668, 3668, 3669,
+	3669, 3670, 3671, 3671, 3672, 3672, 3673, 3673, 3674, 3674, 3675, 3676, 3676, 3677, 3677, 3678,
+	3678, 3679, 3679, 3680, 3681, 3681, 3682, 3682, 3683, 3683, 3684, 3684, 3685, 3686, 3686, 3687,
+	3687, 3688, 3688, 3689, 3689, 3690, 3691, 3691, 3692, 3692, 3693, 3693, 3694, 3694, 3695, 3695,
+	3696, 3697, 3697, 3698, 3698, 3699, 3699, 3700, 3700, 3701, 3702, 3702, 3703, 3703, 3704, 3704,
+	3705, 3705, 3706, 3707, 3707, 3708, 3708, 3709, 3709, 3710, 3710, 3711, 3711, 3712, 3713, 3713,
+	3714, 3714, 3715, 3715, 3716, 3716, 3717, 3717, 3718, 3719, 3719, 3720, 3720, 3721, 3721, 3722,
+	3722, 3723, 3724, 3724, 3725, 3725, 3726, 3726, 3727, 3727, 3728, 3728, 3729, 3730, 3730, 3731,
+	3731, 3732, 3732, 3733, 3733, 3734, 3734, 3735, 3736, 3736, 3737, 3737, 3738, 3738, 3739, 3739,
+	3740, 3740, 3741, 3742, 3742, 3743, 3743, 3744, 3744, 3745, 3745, 3746, 3746, 3747, 3748, 3748,
+	3749, 3749, 3750, 3750, 3751, 3751, 3752, 3752, 3753, 3753, 3754, 3755, 3755, 3756, 3756, 3757,
+	3757, 3758, 3758, 3759, 3759, 3760, 3761, 3761, 3762, 3762, 3763, 3763, 3764, 3764, 3765, 3765,
+	3766, 3766, 3767, 3768, 3768, 3769, 3769, 3770, 3770, 3771, 3771, 3772, 3772, 3773, 3773, 3774,
+	3775, 3775, 3776, 3776, 3777, 3777, 3778, 3778, 3779, 3779, 3780, 3781, 3781, 3782, 3782, 3783,
+	3783, 3784, 3784, 3785, 3785, 3786, 3786, 3787, 3787, 3788, 3789, 3789, 3790, 3790, 3791, 3791,
+	3792, 3792, 3793, 3793, 3794, 3794, 3795, 3796, 3796, 3797, 3797, 3798, 3798, 3799, 3799, 3800,
+	3800, 3801, 3801, 3802, 3802, 3803, 3804, 3804, 3805, 3805, 3806, 3806, 3807, 3807, 3808, 3808,
+	3809, 3809, 3810, 3811, 3811, 3812, 3812, 3813, 3813, 3814, 3814, 3815, 3815, 3816, 3816, 3817,
+	3817, 3818, 3819, 3819, 3820, 3820, 3821, 3821, 3822, 3822, 3823, 3823, 3824, 3824, 3825, 3825,
+	3826, 3826, 3827, 3828, 3828, 3829, 3829, 3830, 3830, 3831, 3831, 3832, 3832, 3833, 3833, 3834,
+	3834, 3835, 3835, 3836, 3837, 3837, 3838, 3838, 3839, 3839, 3840, 3840, 3841, 3841, 3842, 3842,
+	3843, 3843, 3844, 3844, 3845, 3846, 3846, 3847, 3847, 3848, 3848, 3849, 3849, 3850, 3850, 3851,
+	3851, 3852, 3852, 3853, 3853, 3854, 3855, 3855, 3856, 3856, 3857, 3857, 3858, 3858, 3859, 3859,
+	3860, 3860, 3861, 3861, 3862, 3862, 3863, 3863, 3864, 3864, 3865, 3866, 3866, 3867, 3867, 3868,
+	3868, 3869, 3869, 3870, 3870, 3871, 3871, 3872, 3872, 3873, 3873, 3874, 3874, 3875, 3876, 3876,
+	3877, 3877, 3878, 3878, 3879, 3879, 3880, 3880, 3881, 3881, 3882, 3882, 3883, 3883, 3884, 3884,
+	3885, 3885, 3886, 3886, 3887, 3888, 3888, 3889, 3889, 3890, 3890, 3891, 3891, 3892, 3892, 3893,
+	3893, 3894, 3894, 3895, 3895, 3896, 3896, 3897, 3897, 3898, 3898, 3899, 3900, 3900, 3901, 3901,
+	3902, 3902, 3903, 3903, 3904, 3904, 3905, 3905, 3906, 3906, 3907, 3907, 3908, 3908, 3909, 3909,
+	3910, 3910, 3911, 3911, 3912, 3912, 3913, 3914, 3914, 3915, 3915, 3916, 3916, 3917, 3917, 3918,
+	3918, 3919, 3919, 3920, 3920, 3921, 3921, 3922, 3922, 3923, 3923, 3924, 3924, 3925, 3925, 3926,
+	3926, 3927, 3927, 3928, 3929, 3929, 3930, 3930, 3931, 3931, 3932, 3932, 3933, 3933, 3934, 3934,
+	3935, 3935, 3936, 3936, 3937, 3937, 3938, 3938, 3939, 3939, 3940, 3940, 3941, 3941, 3942, 3942,
+	3943, 3943, 3944, 3944, 3945, 3945, 3946, 3947, 3947, 3948, 3948, 3949, 3949, 3950, 3950, 3951,
+	3951, 3952, 3952, 3953, 3953, 3954, 3954, 3955, 3955, 3956, 3956, 3957, 3957, 3958, 3958, 3959,
+	3959, 3960, 3960, 3961, 3961, 3962, 3962, 3963, 3963, 3964, 3964, 3965, 3965, 3966, 3966, 3967,
+	3967, 3968, 3969, 3969, 3970, 3970, 3971, 3971, 3972, 3972, 3973, 3973, 3974, 3974, 3975, 3975,
+	3976, 3976, 3977, 3977, 3978, 3978, 3979, 3979, 3980, 3980, 3981, 3981, 3982, 3982, 3983, 3983,
+	3984, 3984, 3985, 3985, 3986, 3986, 3987, 3987, 3988, 3988, 3989, 3989, 3990, 3990, 3991, 3991,
+	3992, 3992, 3993, 3993, 3994, 3994, 3995, 3995, 3996, 3996, 3997, 3997, 3998, 3998, 3999, 3999,
+	4000, 4001, 4001, 4002, 4002, 4003, 4003, 4004, 4004, 4005, 4005, 4006, 4006, 4007, 4007, 4008,
+	4008, 4009, 4009, 4010, 4010, 4011, 4011, 4012, 4012, 4013, 4013, 4014, 4014, 4015, 4015, 4016,
+	4016, 4017, 4017, 4018, 4018, 4019, 4019, 4020, 4020, 4021, 4021, 4022, 4022, 4023, 4023, 4024,
+	4024, 4025, 4025, 4026, 4026, 4027, 4027, 4028, 4028, 4029, 4029, 4030, 4030, 4031, 4031, 4032,
+	4032, 4033, 4033, 4034, 4034, 4035, 4035, 4036, 4036, 4037, 4037, 4038, 4038, 4039, 4039, 4040,
+	4040, 4041, 4041, 4042, 4042, 4043, 4043, 4044, 4044, 4045, 4045, 4046, 4046, 4047, 4047, 4048,
+	4048, 4049, 4049, 4050, 4050, 4051, 4051, 4052, 4052, 4053, 4053, 4054, 4054, 4055, 4055, 4056,
+	4056, 4057, 4057, 4058, 4058, 4059, 4059, 4060, 4060, 4061, 4061, 4062, 4062, 4063, 4063, 4064,
+	4064, 4065, 4065, 4066, 4066, 4067, 4067, 4068, 4068, 4069, 4069, 4070, 4070, 4071, 4071, 4072,
+	4072, 4073, 4073, 4074, 4074, 4075, 4075, 4076, 4076, 4077, 4077, 4078, 4078, 4079, 4079, 4080,
+	4080,
+};
+
+/* Generated table */
+const struct color16 tpg_csc_colors[V4L2_COLORSPACE_BT2020 + 1][TPG_COLOR_CSC_BLACK + 1] = {
+	[V4L2_COLORSPACE_SMPTE170M][0] = { 2939, 2939, 2939 },
+	[V4L2_COLORSPACE_SMPTE170M][1] = { 2953, 2963, 586 },
+	[V4L2_COLORSPACE_SMPTE170M][2] = { 0, 2967, 2937 },
+	[V4L2_COLORSPACE_SMPTE170M][3] = { 88, 2990, 575 },
+	[V4L2_COLORSPACE_SMPTE170M][4] = { 3016, 259, 2933 },
+	[V4L2_COLORSPACE_SMPTE170M][5] = { 3030, 405, 558 },
+	[V4L2_COLORSPACE_SMPTE170M][6] = { 478, 428, 2931 },
+	[V4L2_COLORSPACE_SMPTE170M][7] = { 547, 547, 547 },
 	[V4L2_COLORSPACE_SMPTE240M][0] = { 2926, 2926, 2926 },
-	[V4L2_COLORSPACE_SMPTE240M][1] = { 2926, 2926, 857 },
-	[V4L2_COLORSPACE_SMPTE240M][2] = { 1594, 2901, 2901 },
-	[V4L2_COLORSPACE_SMPTE240M][3] = { 1594, 2901, 774 },
-	[V4L2_COLORSPACE_SMPTE240M][4] = { 2484, 618, 2858 },
-	[V4L2_COLORSPACE_SMPTE240M][5] = { 2484, 618, 617 },
-	[V4L2_COLORSPACE_SMPTE240M][6] = { 507, 507, 2832 },
+	[V4L2_COLORSPACE_SMPTE240M][1] = { 2941, 2950, 546 },
+	[V4L2_COLORSPACE_SMPTE240M][2] = { 0, 2954, 2924 },
+	[V4L2_COLORSPACE_SMPTE240M][3] = { 78, 2978, 536 },
+	[V4L2_COLORSPACE_SMPTE240M][4] = { 3004, 230, 2920 },
+	[V4L2_COLORSPACE_SMPTE240M][5] = { 3018, 363, 518 },
+	[V4L2_COLORSPACE_SMPTE240M][6] = { 437, 387, 2918 },
 	[V4L2_COLORSPACE_SMPTE240M][7] = { 507, 507, 507 },
 	[V4L2_COLORSPACE_REC709][0] = { 2939, 2939, 2939 },
 	[V4L2_COLORSPACE_REC709][1] = { 2939, 2939, 547 },
@@ -103,21 +623,21 @@ const struct color16 tpg_csc_colors[V4L2_COLORSPACE_SRGB + 1][TPG_COLOR_CSC_BLAC
 	[V4L2_COLORSPACE_REC709][5] = { 2939, 547, 547 },
 	[V4L2_COLORSPACE_REC709][6] = { 547, 547, 2939 },
 	[V4L2_COLORSPACE_REC709][7] = { 547, 547, 547 },
-	[V4L2_COLORSPACE_470_SYSTEM_M][0] = { 2894, 2988, 2808 },
-	[V4L2_COLORSPACE_470_SYSTEM_M][1] = { 2847, 3070, 843 },
+	[V4L2_COLORSPACE_470_SYSTEM_M][0] = { 2892, 2988, 2807 },
+	[V4L2_COLORSPACE_470_SYSTEM_M][1] = { 2846, 3070, 843 },
 	[V4L2_COLORSPACE_470_SYSTEM_M][2] = { 1656, 2962, 2783 },
 	[V4L2_COLORSPACE_470_SYSTEM_M][3] = { 1572, 3045, 763 },
-	[V4L2_COLORSPACE_470_SYSTEM_M][4] = { 2477, 229, 2743 },
-	[V4L2_COLORSPACE_470_SYSTEM_M][5] = { 2422, 672, 614 },
+	[V4L2_COLORSPACE_470_SYSTEM_M][4] = { 2476, 229, 2742 },
+	[V4L2_COLORSPACE_470_SYSTEM_M][5] = { 2420, 672, 614 },
 	[V4L2_COLORSPACE_470_SYSTEM_M][6] = { 725, 63, 2718 },
 	[V4L2_COLORSPACE_470_SYSTEM_M][7] = { 534, 561, 509 },
 	[V4L2_COLORSPACE_470_SYSTEM_BG][0] = { 2939, 2939, 2939 },
-	[V4L2_COLORSPACE_470_SYSTEM_BG][1] = { 2939, 2939, 621 },
+	[V4L2_COLORSPACE_470_SYSTEM_BG][1] = { 2939, 2939, 464 },
 	[V4L2_COLORSPACE_470_SYSTEM_BG][2] = { 786, 2939, 2939 },
-	[V4L2_COLORSPACE_470_SYSTEM_BG][3] = { 786, 2939, 621 },
-	[V4L2_COLORSPACE_470_SYSTEM_BG][4] = { 2879, 547, 2923 },
+	[V4L2_COLORSPACE_470_SYSTEM_BG][3] = { 786, 2939, 464 },
+	[V4L2_COLORSPACE_470_SYSTEM_BG][4] = { 2879, 547, 2956 },
 	[V4L2_COLORSPACE_470_SYSTEM_BG][5] = { 2879, 547, 547 },
-	[V4L2_COLORSPACE_470_SYSTEM_BG][6] = { 547, 547, 2923 },
+	[V4L2_COLORSPACE_470_SYSTEM_BG][6] = { 547, 547, 2956 },
 	[V4L2_COLORSPACE_470_SYSTEM_BG][7] = { 547, 547, 547 },
 	[V4L2_COLORSPACE_SRGB][0] = { 3056, 3056, 3056 },
 	[V4L2_COLORSPACE_SRGB][1] = { 3056, 3056, 800 },
@@ -127,6 +647,22 @@ const struct color16 tpg_csc_colors[V4L2_COLORSPACE_SRGB + 1][TPG_COLOR_CSC_BLAC
 	[V4L2_COLORSPACE_SRGB][5] = { 3056, 800, 800 },
 	[V4L2_COLORSPACE_SRGB][6] = { 800, 800, 3056 },
 	[V4L2_COLORSPACE_SRGB][7] = { 800, 800, 800 },
+	[V4L2_COLORSPACE_ADOBERGB][0] = { 3033, 3033, 3033 },
+	[V4L2_COLORSPACE_ADOBERGB][1] = { 3033, 3033, 1063 },
+	[V4L2_COLORSPACE_ADOBERGB][2] = { 1828, 3033, 3033 },
+	[V4L2_COLORSPACE_ADOBERGB][3] = { 1828, 3033, 1063 },
+	[V4L2_COLORSPACE_ADOBERGB][4] = { 2633, 851, 2979 },
+	[V4L2_COLORSPACE_ADOBERGB][5] = { 2633, 851, 851 },
+	[V4L2_COLORSPACE_ADOBERGB][6] = { 851, 851, 2979 },
+	[V4L2_COLORSPACE_ADOBERGB][7] = { 851, 851, 851 },
+	[V4L2_COLORSPACE_BT2020][0] = { 2939, 2939, 2939 },
+	[V4L2_COLORSPACE_BT2020][1] = { 2877, 2923, 1058 },
+	[V4L2_COLORSPACE_BT2020][2] = { 1837, 2840, 2916 },
+	[V4L2_COLORSPACE_BT2020][3] = { 1734, 2823, 993 },
+	[V4L2_COLORSPACE_BT2020][4] = { 2427, 961, 2812 },
+	[V4L2_COLORSPACE_BT2020][5] = { 2351, 912, 648 },
+	[V4L2_COLORSPACE_BT2020][6] = { 792, 618, 2788 },
+	[V4L2_COLORSPACE_BT2020][7] = { 547, 547, 547 },
 };
 
 #else
@@ -138,29 +674,40 @@ const struct color16 tpg_csc_colors[V4L2_COLORSPACE_SRGB + 1][TPG_COLOR_CSC_BLAC
 #include <stdlib.h>
 
 static const double rec709_to_ntsc1953[3][3] = {
-	{ 0.6698, 0.2678,  0.0323 },
-	{ 0.0185, 1.0742, -0.0603 },
-	{ 0.0162, 0.0432,  0.8551 }
+	{ 0.6689794, 0.2678309, 0.0323187 },
+	{ 0.0184901, 1.0742442, -0.0602820 },
+	{ 0.0162259, 0.0431716, 0.8549253 }
 };
 
 static const double rec709_to_ebu[3][3] = {
-	{ 0.9578, 0.0422, 0      },
-	{ 0     , 1     , 0      },
-	{ 0     , 0.0118, 0.9882 }
+	{ 0.9578221, 0.0421779, -0.0000000 },
+	{ -0.0000000, 1.0000000, 0.0000000 },
+	{ -0.0000000, -0.0119367, 1.0119367 }
 };
 
 static const double rec709_to_170m[3][3] = {
-	{  1.0654, -0.0554, -0.0010 },
-	{ -0.0196,  1.0364, -0.0167 },
-	{  0.0016,  0.0044,  0.9940 }
+	{ 1.0653640, -0.0553900, -0.0099740 },
+	{ -0.0196361, 1.0363630, -0.0167269 },
+	{ 0.0016327, 0.0044133, 0.9939540 },
 };
 
 static const double rec709_to_240m[3][3] = {
-	{ 0.7151, 0.2849, 0      },
-	{ 0.0179, 0.9821, 0      },
-	{ 0.0177, 0.0472, 0.9350 }
+	{ 1.0653640, -0.0553900, -0.0099740 },
+	{ -0.0196361, 1.0363630, -0.0167269 },
+	{ 0.0016327, 0.0044133, 0.9939540 },
+};
+
+static const double rec709_to_adobergb[3][3] = {
+	{ 0.7151627, 0.2848373, -0.0000000 },
+	{ 0.0000000, 1.0000000, 0.0000000 },
+	{ -0.0000000, 0.0411705, 0.9588295 },
 };
 
+static const double rec709_to_bt2020[3][3] = {
+	{ 0.6274524, 0.3292485, 0.0432991 },
+	{ 0.0691092, 0.9195311, 0.0113597 },
+	{ 0.0163976, 0.0880301, 0.8955723 },
+};
 
 static void mult_matrix(double *r, double *g, double *b, const double m[3][3])
 {
@@ -176,7 +723,18 @@ static void mult_matrix(double *r, double *g, double *b, const double m[3][3])
 
 static double transfer_srgb_to_rgb(double v)
 {
-	return (v <= 0.03928) ? v / 12.92 : pow((v + 0.055) / 1.055, 2.4);
+	if (v < -0.04045)
+		return pow((-v + 0.055) / 1.055, 2.4);
+	return (v <= 0.04045) ? v / 12.92 : pow((v + 0.055) / 1.055, 2.4);
+}
+
+static double transfer_rgb_to_srgb(double v)
+{
+	if (v <= -0.0031308)
+		return -1.055 * pow(-v, 1.0 / 2.4) + 0.055;
+	if (v <= 0.0031308)
+		return v * 12.92;
+	return 1.055 * pow(v, 1.0 / 2.4) - 0.055;
 }
 
 static double transfer_rgb_to_smpte240m(double v)
@@ -186,9 +744,21 @@ static double transfer_rgb_to_smpte240m(double v)
 
 static double transfer_rgb_to_rec709(double v)
 {
+	if (v <= -0.018)
+		return -1.099 * pow(-v, 0.45) + 0.099;
 	return (v < 0.018) ? v * 4.5 : 1.099 * pow(v, 0.45) - 0.099;
 }
 
+static double transfer_rec709_to_rgb(double v)
+{
+	return (v < 0.081) ? v / 4.5 : pow((v + 0.099) / 1.099, 1.0 / 0.45);
+}
+
+static double transfer_rgb_to_adobergb(double v)
+{
+	return pow(v, 1.0 / 2.19921875);
+}
+
 static double transfer_srgb_to_rec709(double v)
 {
 	return transfer_rgb_to_rec709(transfer_srgb_to_rgb(v));
@@ -196,6 +766,8 @@ static double transfer_srgb_to_rec709(double v)
 
 static void csc(enum v4l2_colorspace colorspace, double *r, double *g, double *b)
 {
+	int clamp = 1;
+
 	/* Convert the primaries of Rec. 709 Linear RGB */
 	switch (colorspace) {
 	case V4L2_COLORSPACE_SMPTE240M:
@@ -222,15 +794,29 @@ static void csc(enum v4l2_colorspace colorspace, double *r, double *g, double *b
 		*b = transfer_srgb_to_rgb(*b);
 		mult_matrix(r, g, b, rec709_to_ntsc1953);
 		break;
+	case V4L2_COLORSPACE_ADOBERGB:
+		*r = transfer_srgb_to_rgb(*r);
+		*g = transfer_srgb_to_rgb(*g);
+		*b = transfer_srgb_to_rgb(*b);
+		mult_matrix(r, g, b, rec709_to_adobergb);
+		break;
+	case V4L2_COLORSPACE_BT2020:
+		*r = transfer_srgb_to_rgb(*r);
+		*g = transfer_srgb_to_rgb(*g);
+		*b = transfer_srgb_to_rgb(*b);
+		mult_matrix(r, g, b, rec709_to_bt2020);
+		break;
 	case V4L2_COLORSPACE_SRGB:
 	case V4L2_COLORSPACE_REC709:
 	default:
 		break;
 	}
 
-	*r = ((*r) < 0) ? 0 : (((*r) > 1) ? 1 : (*r));
-	*g = ((*g) < 0) ? 0 : (((*g) > 1) ? 1 : (*g));
-	*b = ((*b) < 0) ? 0 : (((*b) > 1) ? 1 : (*b));
+	if (clamp) {
+		*r = ((*r) < 0) ? 0 : (((*r) > 1) ? 1 : (*r));
+		*g = ((*g) < 0) ? 0 : (((*g) > 1) ? 1 : (*g));
+		*b = ((*b) < 0) ? 0 : (((*b) > 1) ? 1 : (*b));
+	}
 
 	/* Encode to gamma corrected colorspace */
 	switch (colorspace) {
@@ -242,12 +828,18 @@ static void csc(enum v4l2_colorspace colorspace, double *r, double *g, double *b
 	case V4L2_COLORSPACE_SMPTE170M:
 	case V4L2_COLORSPACE_470_SYSTEM_M:
 	case V4L2_COLORSPACE_470_SYSTEM_BG:
+	case V4L2_COLORSPACE_BT2020:
 		*r = transfer_rgb_to_rec709(*r);
 		*g = transfer_rgb_to_rec709(*g);
 		*b = transfer_rgb_to_rec709(*b);
 		break;
 	case V4L2_COLORSPACE_SRGB:
 		break;
+	case V4L2_COLORSPACE_ADOBERGB:
+		*r = transfer_rgb_to_adobergb(*r);
+		*g = transfer_rgb_to_adobergb(*g);
+		*b = transfer_rgb_to_adobergb(*b);
+		break;
 	case V4L2_COLORSPACE_REC709:
 	default:
 		*r = transfer_srgb_to_rec709(*r);
@@ -269,6 +861,8 @@ int main(int argc, char **argv)
 		V4L2_COLORSPACE_470_SYSTEM_BG,
 		0,
 		V4L2_COLORSPACE_SRGB,
+		V4L2_COLORSPACE_ADOBERGB,
+		V4L2_COLORSPACE_BT2020,
 	};
 	static const char * const colorspace_names[] = {
 		"",
@@ -280,13 +874,39 @@ int main(int argc, char **argv)
 		"V4L2_COLORSPACE_470_SYSTEM_BG",
 		"",
 		"V4L2_COLORSPACE_SRGB",
+		"V4L2_COLORSPACE_ADOBERGB",
+		"V4L2_COLORSPACE_BT2020",
 	};
 	int i;
 	int c;
 
 	printf("/* Generated table */\n");
-	printf("const struct color16 tpg_csc_colors[V4L2_COLORSPACE_SRGB + 1][TPG_COLOR_CSC_BLACK + 1] = {\n");
-	for (c = 0; c <= V4L2_COLORSPACE_SRGB; c++) {
+	printf("const unsigned short tpg_rec709_to_linear[255 * 16 + 1] = {");
+	for (i = 0; i <= 255 * 16; i++) {
+		if (i % 16 == 0)
+			printf("\n\t");
+		printf("%4d,%s",
+			(int)(0.5 + 16.0 * 255.0 *
+				transfer_rec709_to_rgb(i / (16.0 * 255.0))),
+			i % 16 == 15 || i == 255 * 16 ? "" : " ");
+	}
+	printf("\n};\n\n");
+
+	printf("/* Generated table */\n");
+	printf("const unsigned short tpg_linear_to_rec709[255 * 16 + 1] = {");
+	for (i = 0; i <= 255 * 16; i++) {
+		if (i % 16 == 0)
+			printf("\n\t");
+		printf("%4d,%s",
+			(int)(0.5 + 16.0 * 255.0 *
+				transfer_rgb_to_rec709(i / (16.0 * 255.0))),
+			i % 16 == 15 || i == 255 * 16 ? "" : " ");
+	}
+	printf("\n};\n\n");
+
+	printf("/* Generated table */\n");
+	printf("const struct color16 tpg_csc_colors[V4L2_COLORSPACE_BT2020 + 1][TPG_COLOR_CSC_BLACK + 1] = {\n");
+	for (c = 0; c <= V4L2_COLORSPACE_BT2020; c++) {
 		for (i = 0; i <= TPG_COLOR_CSC_BLACK; i++) {
 			double r, g, b;
 
diff --git a/drivers/media/platform/vivid/vivid-tpg-colors.h b/drivers/media/platform/vivid/vivid-tpg-colors.h
index a2678fb..2c33335 100644
--- a/drivers/media/platform/vivid/vivid-tpg-colors.h
+++ b/drivers/media/platform/vivid/vivid-tpg-colors.h
@@ -59,6 +59,8 @@ enum tpg_color {
 };
 
 extern const struct color tpg_colors[TPG_COLOR_MAX];
-extern const struct color16 tpg_csc_colors[V4L2_COLORSPACE_SRGB + 1][TPG_COLOR_CSC_BLACK + 1];
+extern const unsigned short tpg_rec709_to_linear[255 * 16 + 1];
+extern const unsigned short tpg_linear_to_rec709[255 * 16 + 1];
+extern const struct color16 tpg_csc_colors[V4L2_COLORSPACE_BT2020 + 1][TPG_COLOR_CSC_BLACK + 1];
 
 #endif
-- 
2.1.1


^ permalink raw reply related	[flat|nested] 10+ messages in thread

* [RFCv1 PATCH 6/8] vivid-tpg: improve colorspace support
  2014-11-17 14:16 [RFCv1 PATCH 0/8] improve colorspace support Hans Verkuil
                   ` (4 preceding siblings ...)
  2014-11-17 14:16 ` [RFCv1 PATCH 5/8] vivid-tpg-colors: add AdobeRGB and BT.2020 support Hans Verkuil
@ 2014-11-17 14:16 ` Hans Verkuil
  2014-11-17 14:16 ` [RFCv1 PATCH 7/8] vivid: add new colorspaces Hans Verkuil
                   ` (2 subsequent siblings)
  8 siblings, 0 replies; 10+ messages in thread
From: Hans Verkuil @ 2014-11-17 14:16 UTC (permalink / raw)
  To: linux-media; +Cc: Hans Verkuil

From: Hans Verkuil <hans.verkuil@cisco.com>

Add support for the new AdobeRGB and BT.2020 colorspaces. Also support
explicit Y'CbCr and quantization settings.

Signed-off-by: Hans Verkuil <hans.verkuil@cisco.com>
---
 drivers/media/platform/vivid/vivid-tpg.c | 327 +++++++++++++++++++++----------
 drivers/media/platform/vivid/vivid-tpg.h |  38 ++++
 2 files changed, 258 insertions(+), 107 deletions(-)

diff --git a/drivers/media/platform/vivid/vivid-tpg.c b/drivers/media/platform/vivid/vivid-tpg.c
index cbcd625..fe61b6c 100644
--- a/drivers/media/platform/vivid/vivid-tpg.c
+++ b/drivers/media/platform/vivid/vivid-tpg.c
@@ -296,127 +296,193 @@ static enum tpg_color tpg_get_textfg_color(struct tpg_data *tpg)
 	}
 }
 
-static u16 color_to_y(struct tpg_data *tpg, int r, int g, int b)
+static inline int rec709_to_linear(int v)
 {
-	switch (tpg->colorspace) {
-	case V4L2_COLORSPACE_SMPTE170M:
-	case V4L2_COLORSPACE_470_SYSTEM_M:
-	case V4L2_COLORSPACE_470_SYSTEM_BG:
-		return ((16829 * r + 33039 * g + 6416 * b + 16 * 32768) >> 16) + (16 << 4);
-	case V4L2_COLORSPACE_SMPTE240M:
-		return ((11932 * r + 39455 * g + 4897 * b + 16 * 32768) >> 16) + (16 << 4);
-	case V4L2_COLORSPACE_REC709:
-	case V4L2_COLORSPACE_SRGB:
-	default:
-		return ((11966 * r + 40254 * g + 4064 * b + 16 * 32768) >> 16) + (16 << 4);
-	}
+	v = clamp(v, 0, 0xff0);
+	return tpg_rec709_to_linear[v];
 }
 
-static u16 color_to_cb(struct tpg_data *tpg, int r, int g, int b)
+static inline int linear_to_rec709(int v)
 {
-	switch (tpg->colorspace) {
-	case V4L2_COLORSPACE_SMPTE170M:
-	case V4L2_COLORSPACE_470_SYSTEM_M:
-	case V4L2_COLORSPACE_470_SYSTEM_BG:
-		return ((-9714 * r - 19070 * g + 28784 * b + 16 * 32768) >> 16) + (128 << 4);
-	case V4L2_COLORSPACE_SMPTE240M:
-		return ((-6684 * r - 22100 * g + 28784 * b + 16 * 32768) >> 16) + (128 << 4);
-	case V4L2_COLORSPACE_REC709:
-	case V4L2_COLORSPACE_SRGB:
-	default:
-		return ((-6596 * r - 22189 * g + 28784 * b + 16 * 32768) >> 16) + (128 << 4);
-	}
+	v = clamp(v, 0, 0xff0);
+	return tpg_linear_to_rec709[v];
 }
 
-static u16 color_to_cr(struct tpg_data *tpg, int r, int g, int b)
+static void rgb2ycbcr(const int m[3][3], int r, int g, int b,
+			int y_offset, int *y, int *cb, int *cr)
 {
-	switch (tpg->colorspace) {
-	case V4L2_COLORSPACE_SMPTE170M:
-	case V4L2_COLORSPACE_470_SYSTEM_M:
-	case V4L2_COLORSPACE_470_SYSTEM_BG:
-		return ((28784 * r - 24103 * g - 4681 * b + 16 * 32768) >> 16) + (128 << 4);
-	case V4L2_COLORSPACE_SMPTE240M:
-		return ((28784 * r - 25606 * g - 3178 * b + 16 * 32768) >> 16) + (128 << 4);
-	case V4L2_COLORSPACE_REC709:
-	case V4L2_COLORSPACE_SRGB:
-	default:
-		return ((28784 * r - 26145 * g - 2639 * b + 16 * 32768) >> 16) + (128 << 4);
-	}
+	*y  = ((m[0][0] * r + m[0][1] * g + m[0][2] * b) >> 16) + (y_offset << 4);
+	*cb = ((m[1][0] * r + m[1][1] * g + m[1][2] * b) >> 16) + (128 << 4);
+	*cr = ((m[2][0] * r + m[2][1] * g + m[2][2] * b) >> 16) + (128 << 4);
 }
 
-static u16 ycbcr_to_r(struct tpg_data *tpg, int y, int cb, int cr)
+static void color_to_ycbcr(struct tpg_data *tpg, int r, int g, int b,
+			   int *y, int *cb, int *cr)
 {
-	int r;
+#define COEFF(v, r) ((int)(0.5 + (v) * (r) * 256.0))
 
-	y -= 16 << 4;
-	cb -= 128 << 4;
-	cr -= 128 << 4;
-	switch (tpg->colorspace) {
-	case V4L2_COLORSPACE_SMPTE170M:
-	case V4L2_COLORSPACE_470_SYSTEM_M:
-	case V4L2_COLORSPACE_470_SYSTEM_BG:
-		r = 4769 * y + 6537 * cr;
+	static const int bt601[3][3] = {
+		{ COEFF(0.299, 219),  COEFF(0.587, 219),  COEFF(0.114, 219)  },
+		{ COEFF(-0.169, 224), COEFF(-0.331, 224), COEFF(0.5, 224)    },
+		{ COEFF(0.5, 224),    COEFF(-0.419, 224), COEFF(-0.081, 224) },
+	};
+	static const int bt601_full[3][3] = {
+		{ COEFF(0.299, 255),  COEFF(0.587, 255),  COEFF(0.114, 255)  },
+		{ COEFF(-0.169, 255), COEFF(-0.331, 255), COEFF(0.5, 255)    },
+		{ COEFF(0.5, 255),    COEFF(-0.419, 255), COEFF(-0.081, 255) },
+	};
+	static const int rec709[3][3] = {
+		{ COEFF(0.2126, 219),  COEFF(0.7152, 219),  COEFF(0.0722, 219)  },
+		{ COEFF(-0.1146, 224), COEFF(-0.3854, 224), COEFF(0.5, 224)     },
+		{ COEFF(0.5, 224),     COEFF(-0.4542, 224), COEFF(-0.0458, 224) },
+	};
+	static const int rec709_full[3][3] = {
+		{ COEFF(0.2126, 255),  COEFF(0.7152, 255),  COEFF(0.0722, 255)  },
+		{ COEFF(-0.1146, 255), COEFF(-0.3854, 255), COEFF(0.5, 255)     },
+		{ COEFF(0.5, 255),     COEFF(-0.4542, 255), COEFF(-0.0458, 255) },
+	};
+	static const int smpte240m[3][3] = {
+		{ COEFF(0.212, 219),  COEFF(0.701, 219),  COEFF(0.087, 219)  },
+		{ COEFF(-0.116, 224), COEFF(-0.384, 224), COEFF(0.5, 224)    },
+		{ COEFF(0.5, 224),    COEFF(-0.445, 224), COEFF(-0.055, 224) },
+	};
+	static const int bt2020[3][3] = {
+		{ COEFF(0.2726, 219),  COEFF(0.6780, 219),  COEFF(0.0593, 219)  },
+		{ COEFF(-0.1396, 224), COEFF(-0.3604, 224), COEFF(0.5, 224)     },
+		{ COEFF(0.5, 224),     COEFF(-0.4629, 224), COEFF(-0.0405, 224) },
+	};
+	bool full = tpg->real_quantization == V4L2_QUANTIZATION_FULL_RANGE;
+	int lin_y, yc;
+
+	switch (tpg->real_ycbcr_enc) {
+	case V4L2_YCBCR_ENC_601:
+	case V4L2_YCBCR_ENC_XV601:
+	case V4L2_YCBCR_ENC_SYCC:
+		rgb2ycbcr(full ? bt601_full : bt601, r, g, b, 16, y, cb, cr);
+		break;
+	case V4L2_YCBCR_ENC_BT2020NC:
+		rgb2ycbcr(bt2020, r, g, b, 16, y, cb, cr);
 		break;
-	case V4L2_COLORSPACE_SMPTE240M:
-		r = 4769 * y + 7376 * cr;
+	case V4L2_YCBCR_ENC_BT2020C:
+		lin_y = (COEFF(0.2627, 255) * rec709_to_linear(r) +
+			 COEFF(0.6780, 255) * rec709_to_linear(g) +
+			 COEFF(0.0593, 255) * rec709_to_linear(b)) >> 16;
+		yc = linear_to_rec709(lin_y);
+		*y = (yc * 219) / 255 + (16 << 4);
+		if (b <= yc)
+			*cb = (((b - yc) * COEFF(1.0 / 1.9404, 224)) >> 16) + (128 << 4);
+		else
+			*cb = (((b - yc) * COEFF(1.0 / 1.5816, 224)) >> 16) + (128 << 4);
+		if (r <= yc)
+			*cr = (((r - yc) * COEFF(1.0 / 1.7184, 224)) >> 16) + (128 << 4);
+		else
+			*cr = (((r - yc) * COEFF(1.0 / 0.9936, 224)) >> 16) + (128 << 4);
 		break;
-	case V4L2_COLORSPACE_REC709:
-	case V4L2_COLORSPACE_SRGB:
+	case V4L2_YCBCR_ENC_SMPTE240M:
+		rgb2ycbcr(smpte240m, r, g, b, 16, y, cb, cr);
+		break;
+	case V4L2_YCBCR_ENC_709:
+	case V4L2_YCBCR_ENC_XV709:
 	default:
-		r = 4769 * y + 7343 * cr;
+		rgb2ycbcr(full ? rec709_full : rec709, r, g, b, 0, y, cb, cr);
 		break;
 	}
-	return clamp(r >> 12, 0, 0xff0);
 }
 
-static u16 ycbcr_to_g(struct tpg_data *tpg, int y, int cb, int cr)
+static void ycbcr2rgb(const int m[3][3], int y, int cb, int cr,
+			int y_offset, int *r, int *g, int *b)
 {
-	int g;
-
-	y -= 16 << 4;
+	y -= y_offset << 4;
 	cb -= 128 << 4;
 	cr -= 128 << 4;
-	switch (tpg->colorspace) {
-	case V4L2_COLORSPACE_SMPTE170M:
-	case V4L2_COLORSPACE_470_SYSTEM_M:
-	case V4L2_COLORSPACE_470_SYSTEM_BG:
-		g = 4769 * y - 1605 * cb - 3330 * cr;
-		break;
-	case V4L2_COLORSPACE_SMPTE240M:
-		g = 4769 * y - 1055 * cb - 2341 * cr;
-		break;
-	case V4L2_COLORSPACE_REC709:
-	case V4L2_COLORSPACE_SRGB:
-	default:
-		g = 4769 * y - 873 * cb - 2183 * cr;
-		break;
-	}
-	return clamp(g >> 12, 0, 0xff0);
+	*r = m[0][0] * y + m[0][1] * cb + m[0][2] * cr;
+	*g = m[1][0] * y + m[1][1] * cb + m[1][2] * cr;
+	*b = m[2][0] * y + m[2][1] * cb + m[2][2] * cr;
+	*r = clamp(*r >> 12, 0, 0xff0);
+	*g = clamp(*g >> 12, 0, 0xff0);
+	*b = clamp(*b >> 12, 0, 0xff0);
 }
 
-static u16 ycbcr_to_b(struct tpg_data *tpg, int y, int cb, int cr)
+static void ycbcr_to_color(struct tpg_data *tpg, int y, int cb, int cr,
+			   int *r, int *g, int *b)
 {
-	int b;
+#undef COEFF
+#define COEFF(v, r) ((int)(0.5 + (v) * ((255.0 * 255.0 * 16.0) / (r))))
+	static const int bt601[3][3] = {
+		{ COEFF(1, 219), COEFF(0, 224),       COEFF(1.4020, 224)  },
+		{ COEFF(1, 219), COEFF(-0.3441, 224), COEFF(-0.7141, 224) },
+		{ COEFF(1, 219), COEFF(1.7720, 224),  COEFF(0, 224)       },
+	};
+	static const int bt601_full[3][3] = {
+		{ COEFF(1, 255), COEFF(0, 255),       COEFF(1.4020, 255)  },
+		{ COEFF(1, 255), COEFF(-0.3441, 255), COEFF(-0.7141, 255) },
+		{ COEFF(1, 255), COEFF(1.7720, 255),  COEFF(0, 255)       },
+	};
+	static const int rec709[3][3] = {
+		{ COEFF(1, 219), COEFF(0, 224),       COEFF(1.5748, 224)  },
+		{ COEFF(1, 219), COEFF(-0.1873, 224), COEFF(-0.4681, 224) },
+		{ COEFF(1, 219), COEFF(1.8556, 224),  COEFF(0, 224)       },
+	};
+	static const int rec709_full[3][3] = {
+		{ COEFF(1, 255), COEFF(0, 255),       COEFF(1.5748, 255)  },
+		{ COEFF(1, 255), COEFF(-0.1873, 255), COEFF(-0.4681, 255) },
+		{ COEFF(1, 255), COEFF(1.8556, 255),  COEFF(0, 255)       },
+	};
+	static const int smpte240m[3][3] = {
+		{ COEFF(1, 219), COEFF(0, 224),       COEFF(1.5756, 224)  },
+		{ COEFF(1, 219), COEFF(-0.2253, 224), COEFF(-0.4767, 224) },
+		{ COEFF(1, 219), COEFF(1.8270, 224),  COEFF(0, 224)       },
+	};
+	static const int bt2020[3][3] = {
+		{ COEFF(1, 219), COEFF(0, 224),       COEFF(1.4746, 224)  },
+		{ COEFF(1, 219), COEFF(-0.1646, 224), COEFF(-0.5714, 224) },
+		{ COEFF(1, 219), COEFF(1.8814, 224),  COEFF(0, 224)       },
+	};
+	bool full = tpg->real_quantization == V4L2_QUANTIZATION_FULL_RANGE;
+	int lin_r, lin_g, lin_b, lin_y;
+
+	switch (tpg->real_ycbcr_enc) {
+	case V4L2_YCBCR_ENC_601:
+	case V4L2_YCBCR_ENC_XV601:
+	case V4L2_YCBCR_ENC_SYCC:
+		ycbcr2rgb(full ? bt601_full : bt601, y, cb, cr, 16, r, g, b);
+		break;
+	case V4L2_YCBCR_ENC_BT2020NC:
+		ycbcr2rgb(bt2020, y, cb, cr, 16, r, g, b);
+		break;
+	case V4L2_YCBCR_ENC_BT2020C:
+		y -= 16 << 4;
+		cb -= 128 << 4;
+		cr -= 128 << 4;
 
-	y -= 16 << 4;
-	cb -= 128 << 4;
-	cr -= 128 << 4;
-	switch (tpg->colorspace) {
-	case V4L2_COLORSPACE_SMPTE170M:
-	case V4L2_COLORSPACE_470_SYSTEM_M:
-	case V4L2_COLORSPACE_470_SYSTEM_BG:
-		b = 4769 * y + 7343 * cb;
+		if (cb <= 0)
+			*b = COEFF(1.0, 219) * y + COEFF(1.9404, 224) * cb;
+		else
+			*b = COEFF(1.0, 219) * y + COEFF(1.5816, 224) * cb;
+		*b = *b >> 12;
+		if (cr <= 0)
+			*r = COEFF(1.0, 219) * y + COEFF(1.7184, 224) * cr;
+		else
+			*r = COEFF(1.0, 219) * y + COEFF(0.9936, 224) * cr;
+		*r = *r >> 12;
+		lin_r = rec709_to_linear(*r);
+		lin_b = rec709_to_linear(*b);
+		lin_y = rec709_to_linear((y * 255) / 219);
+
+		lin_g = COEFF(1.0 / 0.6780, 255) * lin_y -
+			COEFF(0.2627 / 0.6780, 255) * lin_r -
+			COEFF(0.0593 / 0.6780, 255) * lin_b;
+		*g = linear_to_rec709(lin_g >> 12);
 		break;
-	case V4L2_COLORSPACE_SMPTE240M:
-		b = 4769 * y + 8552 * cb;
+	case V4L2_YCBCR_ENC_SMPTE240M:
+		ycbcr2rgb(smpte240m, y, cb, cr, 16, r, g, b);
 		break;
-	case V4L2_COLORSPACE_REC709:
-	case V4L2_COLORSPACE_SRGB:
+	case V4L2_YCBCR_ENC_709:
+	case V4L2_YCBCR_ENC_XV709:
 	default:
-		b = 4769 * y + 8652 * cb;
+		ycbcr2rgb(full ? rec709_full : rec709, y, cb, cr, 16, r, g, b);
 		break;
 	}
-	return clamp(b >> 12, 0, 0xff0);
 }
 
 /* precalculate color bar values to speed up rendering */
@@ -456,18 +522,17 @@ static void precalculate_color(struct tpg_data *tpg, int k)
 		g <<= 4;
 		b <<= 4;
 	}
-	if (tpg->qual == TPG_QUAL_GRAY)
-		r = g = b = color_to_y(tpg, r, g, b);
+	if (tpg->qual == TPG_QUAL_GRAY) {
+		/* Rec. 709 Luma function */
+		/* (0.2126, 0.7152, 0.0722) * (255 * 256) */
+		r = g = b = ((13879 * r + 46688 * g + 4713 * b) >> 16) + (16 << 4);
+	}
 
 	/*
 	 * The assumption is that the RGB output is always full range,
 	 * so only if the rgb_range overrides the 'real' rgb range do
 	 * we need to convert the RGB values.
 	 *
-	 * Currently there is no way of signalling to userspace if you
-	 * are actually giving it limited range RGB (or full range
-	 * YUV for that matter).
-	 *
 	 * Remember that r, g and b are still in the 0 - 0xff0 range.
 	 */
 	if (tpg->real_rgb_range == V4L2_DV_RGB_RANGE_LIMITED &&
@@ -497,12 +562,12 @@ static void precalculate_color(struct tpg_data *tpg, int k)
 	if (tpg->brightness != 128 || tpg->contrast != 128 ||
 	    tpg->saturation != 128 || tpg->hue) {
 		/* Implement these operations */
+		int y, cb, cr;
+		int tmp_cb, tmp_cr;
 
 		/* First convert to YCbCr */
-		int y = color_to_y(tpg, r, g, b);	/* Luma */
-		int cb = color_to_cb(tpg, r, g, b);	/* Cb */
-		int cr = color_to_cr(tpg, r, g, b);	/* Cr */
-		int tmp_cb, tmp_cr;
+
+		color_to_ycbcr(tpg, r, g, b, &y, &cb, &cr);
 
 		y = (16 << 4) + ((y - (16 << 4)) * tpg->contrast) / 128;
 		y += (tpg->brightness << 4) - (128 << 4);
@@ -520,21 +585,29 @@ static void precalculate_color(struct tpg_data *tpg, int k)
 			tpg->colors[k][2] = clamp(cr >> 4, 1, 254);
 			return;
 		}
-		r = ycbcr_to_r(tpg, y, cb, cr);
-		g = ycbcr_to_g(tpg, y, cb, cr);
-		b = ycbcr_to_b(tpg, y, cb, cr);
+		ycbcr_to_color(tpg, y, cb, cr, &r, &g, &b);
 	}
 
 	if (tpg->is_yuv) {
 		/* Convert to YCbCr */
-		u16 y = color_to_y(tpg, r, g, b);	/* Luma */
-		u16 cb = color_to_cb(tpg, r, g, b);	/* Cb */
-		u16 cr = color_to_cr(tpg, r, g, b);	/* Cr */
+		int y, cb, cr;
+
+		color_to_ycbcr(tpg, r, g, b, &y, &cb, &cr);
 
+		if (tpg->real_quantization == V4L2_QUANTIZATION_LIM_RANGE) {
+			y = clamp(y, 16 << 4, 235 << 4);
+			cb = clamp(cb, 16 << 4, 240 << 4);
+			cr = clamp(cr, 16 << 4, 240 << 4);
+		}
 		tpg->colors[k][0] = clamp(y >> 4, 1, 254);
 		tpg->colors[k][1] = clamp(cb >> 4, 1, 254);
 		tpg->colors[k][2] = clamp(cr >> 4, 1, 254);
 	} else {
+		if (tpg->real_quantization == V4L2_QUANTIZATION_LIM_RANGE) {
+			r = (r * 219) / 255 + (16 << 4);
+			g = (g * 219) / 255 + (16 << 4);
+			b = (b * 219) / 255 + (16 << 4);
+		}
 		switch (tpg->fourcc) {
 		case V4L2_PIX_FMT_RGB565:
 		case V4L2_PIX_FMT_RGB565X:
@@ -1152,6 +1225,46 @@ static void tpg_recalc(struct tpg_data *tpg)
 	if (tpg->recalc_colors) {
 		tpg->recalc_colors = false;
 		tpg->recalc_lines = true;
+		tpg->real_ycbcr_enc = tpg->ycbcr_enc;
+		tpg->real_quantization = tpg->quantization;
+		if (tpg->ycbcr_enc == V4L2_YCBCR_ENC_DEFAULT) {
+			switch (tpg->colorspace) {
+			case V4L2_COLORSPACE_REC709:
+				tpg->real_ycbcr_enc = V4L2_YCBCR_ENC_709;
+				break;
+			case V4L2_COLORSPACE_SRGB:
+				tpg->real_ycbcr_enc = V4L2_YCBCR_ENC_SYCC;
+				break;
+			case V4L2_COLORSPACE_BT2020:
+				tpg->real_ycbcr_enc = V4L2_YCBCR_ENC_BT2020NC;
+				break;
+			case V4L2_COLORSPACE_SMPTE240M:
+				tpg->real_ycbcr_enc = V4L2_YCBCR_ENC_SMPTE240M;
+				break;
+			case V4L2_COLORSPACE_SMPTE170M:
+			case V4L2_COLORSPACE_470_SYSTEM_M:
+			case V4L2_COLORSPACE_470_SYSTEM_BG:
+			case V4L2_COLORSPACE_ADOBERGB:
+			default:
+				tpg->real_ycbcr_enc = V4L2_YCBCR_ENC_601;
+				break;
+			}
+		}
+		if (tpg->quantization == V4L2_QUANTIZATION_DEFAULT) {
+			tpg->real_quantization = V4L2_QUANTIZATION_FULL_RANGE;
+			if (tpg->is_yuv) {
+				switch (tpg->real_ycbcr_enc) {
+				case V4L2_YCBCR_ENC_SYCC:
+				case V4L2_YCBCR_ENC_XV601:
+				case V4L2_YCBCR_ENC_XV709:
+					break;
+				default:
+					tpg->real_quantization =
+						V4L2_QUANTIZATION_LIM_RANGE;
+					break;
+				}
+			}
+		}
 		tpg_precalculate_colors(tpg);
 	}
 	if (tpg->recalc_square_border) {
diff --git a/drivers/media/platform/vivid/vivid-tpg.h b/drivers/media/platform/vivid/vivid-tpg.h
index 8ef3e52..9dc463a4 100644
--- a/drivers/media/platform/vivid/vivid-tpg.h
+++ b/drivers/media/platform/vivid/vivid-tpg.h
@@ -119,6 +119,18 @@ struct tpg_data {
 	u32				fourcc;
 	bool				is_yuv;
 	u32				colorspace;
+	u32				ycbcr_enc;
+	/*
+	 * Stores the actual Y'CbCr encoding, i.e. will never be
+	 * V4L2_YCBCR_ENC_DEFAULT.
+	 */
+	u32				real_ycbcr_enc;
+	u32				quantization;
+	/*
+	 * Stores the actual quantization, i.e. will never be
+	 * V4L2_QUANTIZATION_DEFAULT.
+	 */
+	u32				real_quantization;
 	enum tpg_video_aspect		vid_aspect;
 	enum tpg_pixel_aspect		pix_aspect;
 	unsigned			rgb_range;
@@ -286,6 +298,32 @@ static inline u32 tpg_g_colorspace(const struct tpg_data *tpg)
 	return tpg->colorspace;
 }
 
+static inline void tpg_s_ycbcr_enc(struct tpg_data *tpg, u32 ycbcr_enc)
+{
+	if (tpg->ycbcr_enc == ycbcr_enc)
+		return;
+	tpg->ycbcr_enc = ycbcr_enc;
+	tpg->recalc_colors = true;
+}
+
+static inline u32 tpg_g_ycbcr_enc(const struct tpg_data *tpg)
+{
+	return tpg->ycbcr_enc;
+}
+
+static inline void tpg_s_quantization(struct tpg_data *tpg, u32 quantization)
+{
+	if (tpg->quantization == quantization)
+		return;
+	tpg->quantization = quantization;
+	tpg->recalc_colors = true;
+}
+
+static inline u32 tpg_g_quantization(const struct tpg_data *tpg)
+{
+	return tpg->quantization;
+}
+
 static inline unsigned tpg_g_planes(const struct tpg_data *tpg)
 {
 	return tpg->planes;
-- 
2.1.1


^ permalink raw reply related	[flat|nested] 10+ messages in thread

* [RFCv1 PATCH 7/8] vivid: add new colorspaces
  2014-11-17 14:16 [RFCv1 PATCH 0/8] improve colorspace support Hans Verkuil
                   ` (5 preceding siblings ...)
  2014-11-17 14:16 ` [RFCv1 PATCH 6/8] vivid-tpg: improve colorspace support Hans Verkuil
@ 2014-11-17 14:16 ` Hans Verkuil
  2014-11-17 14:16 ` [RFCv1 PATCH 8/8] vivid: add support for YCbCr encoding and quantization Hans Verkuil
  2014-11-17 14:26 ` [RFCv1 PATCH 0/8] improve colorspace support Hans Verkuil
  8 siblings, 0 replies; 10+ messages in thread
From: Hans Verkuil @ 2014-11-17 14:16 UTC (permalink / raw)
  To: linux-media; +Cc: Hans Verkuil

From: Hans Verkuil <hans.verkuil@cisco.com>

Add AdobeRGB and BT.2020 support.

The colorspace control now orders the colorspaces according to how often
they are used. So rarely used colorspaces are moved to the end. This makes
it more logical when testing colorspace support.

Signed-off-by: Hans Verkuil <hans.verkuil@cisco.com>
---
 drivers/media/platform/vivid/vivid-core.h    | 11 +++++++++++
 drivers/media/platform/vivid/vivid-ctrls.c   | 27 +++++++++++++++++----------
 drivers/media/platform/vivid/vivid-vid-cap.c | 16 ++++++++--------
 3 files changed, 36 insertions(+), 18 deletions(-)

diff --git a/drivers/media/platform/vivid/vivid-core.h b/drivers/media/platform/vivid/vivid-core.h
index 811c286..834e425 100644
--- a/drivers/media/platform/vivid/vivid-core.h
+++ b/drivers/media/platform/vivid/vivid-core.h
@@ -116,6 +116,17 @@ enum vivid_signal_mode {
 	CUSTOM_DV_TIMINGS,
 };
 
+enum vivid_colorspace {
+	VIVID_CS_170M,
+	VIVID_CS_709,
+	VIVID_CS_SRGB,
+	VIVID_CS_ADOBERGB,
+	VIVID_CS_2020,
+	VIVID_CS_240M,
+	VIVID_CS_SYS_M,
+	VIVID_CS_SYS_BG,
+};
+
 #define VIVID_INVALID_SIGNAL(mode) \
 	((mode) == NO_SIGNAL || (mode) == NO_LOCK || (mode) == OUT_OF_RANGE)
 
diff --git a/drivers/media/platform/vivid/vivid-ctrls.c b/drivers/media/platform/vivid/vivid-ctrls.c
index ad8df5c..dcb912d 100644
--- a/drivers/media/platform/vivid/vivid-ctrls.c
+++ b/drivers/media/platform/vivid/vivid-ctrls.c
@@ -333,6 +333,16 @@ static const struct v4l2_ctrl_ops vivid_user_vid_ctrl_ops = {
 
 static int vivid_vid_cap_s_ctrl(struct v4l2_ctrl *ctrl)
 {
+	static const u32 colorspaces[] = {
+		V4L2_COLORSPACE_SMPTE170M,
+		V4L2_COLORSPACE_REC709,
+		V4L2_COLORSPACE_SRGB,
+		V4L2_COLORSPACE_ADOBERGB,
+		V4L2_COLORSPACE_BT2020,
+		V4L2_COLORSPACE_SMPTE240M,
+		V4L2_COLORSPACE_470_SYSTEM_M,
+		V4L2_COLORSPACE_470_SYSTEM_BG,
+	};
 	struct vivid_dev *dev = container_of(ctrl->handler, struct vivid_dev, ctrl_hdl_vid_cap);
 	unsigned i;
 
@@ -342,7 +352,7 @@ static int vivid_vid_cap_s_ctrl(struct v4l2_ctrl *ctrl)
 		tpg_s_pattern(&dev->tpg, ctrl->val);
 		break;
 	case VIVID_CID_COLORSPACE:
-		tpg_s_colorspace(&dev->tpg, ctrl->val);
+		tpg_s_colorspace(&dev->tpg, colorspaces[ctrl->val]);
 		vivid_send_source_change(dev, TV);
 		vivid_send_source_change(dev, SVID);
 		vivid_send_source_change(dev, HDMI);
@@ -662,15 +672,14 @@ static const struct v4l2_ctrl_config vivid_ctrl_max_edid_blocks = {
 };
 
 static const char * const vivid_ctrl_colorspace_strings[] = {
-	"",
 	"SMPTE 170M",
-	"SMPTE 240M",
 	"REC 709",
-	"", /* Skip Bt878 entry */
+	"sRGB",
+	"AdobeRGB",
+	"BT.2020",
+	"SMPTE 240M",
 	"470 System M",
 	"470 System BG",
-	"", /* Skip JPEG entry */
-	"sRGB",
 	NULL,
 };
 
@@ -679,10 +688,8 @@ static const struct v4l2_ctrl_config vivid_ctrl_colorspace = {
 	.id = VIVID_CID_COLORSPACE,
 	.name = "Colorspace",
 	.type = V4L2_CTRL_TYPE_MENU,
-	.min = 1,
-	.max = 8,
-	.menu_skip_mask = (1 << 4) | (1 << 7),
-	.def = 8,
+	.max = 7,
+	.def = 2,
 	.qmenu = vivid_ctrl_colorspace_strings,
 };
 
diff --git a/drivers/media/platform/vivid/vivid-vid-cap.c b/drivers/media/platform/vivid/vivid-vid-cap.c
index 331c544..5caf912 100644
--- a/drivers/media/platform/vivid/vivid-vid-cap.c
+++ b/drivers/media/platform/vivid/vivid-vid-cap.c
@@ -443,12 +443,12 @@ void vivid_update_format_cap(struct vivid_dev *dev, bool keep_controls)
 			break;
 		if (bt->standards & V4L2_DV_BT_STD_CEA861) {
 			if (bt->width == 720 && bt->height <= 576)
-				v4l2_ctrl_s_ctrl(dev->colorspace, V4L2_COLORSPACE_SMPTE170M);
+				v4l2_ctrl_s_ctrl(dev->colorspace, VIVID_CS_170M);
 			else
-				v4l2_ctrl_s_ctrl(dev->colorspace, V4L2_COLORSPACE_REC709);
+				v4l2_ctrl_s_ctrl(dev->colorspace, VIVID_CS_709);
 			v4l2_ctrl_s_ctrl(dev->real_rgb_range_cap, 1);
 		} else {
-			v4l2_ctrl_s_ctrl(dev->colorspace, V4L2_COLORSPACE_SRGB);
+			v4l2_ctrl_s_ctrl(dev->colorspace, VIVID_CS_SRGB);
 			v4l2_ctrl_s_ctrl(dev->real_rgb_range_cap, 0);
 		}
 		tpg_s_rgb_range(&dev->tpg, v4l2_ctrl_g_ctrl(dev->rgb_range_cap));
@@ -1307,20 +1307,20 @@ int vidioc_s_input(struct file *file, void *priv, unsigned i)
 	if (dev->colorspace) {
 		switch (dev->input_type[i]) {
 		case WEBCAM:
-			v4l2_ctrl_s_ctrl(dev->colorspace, V4L2_COLORSPACE_SRGB);
+			v4l2_ctrl_s_ctrl(dev->colorspace, VIVID_CS_SRGB);
 			break;
 		case TV:
 		case SVID:
-			v4l2_ctrl_s_ctrl(dev->colorspace, V4L2_COLORSPACE_SMPTE170M);
+			v4l2_ctrl_s_ctrl(dev->colorspace, VIVID_CS_170M);
 			break;
 		case HDMI:
 			if (bt->standards & V4L2_DV_BT_STD_CEA861) {
 				if (dev->src_rect.width == 720 && dev->src_rect.height <= 576)
-					v4l2_ctrl_s_ctrl(dev->colorspace, V4L2_COLORSPACE_SMPTE170M);
+					v4l2_ctrl_s_ctrl(dev->colorspace, VIVID_CS_170M);
 				else
-					v4l2_ctrl_s_ctrl(dev->colorspace, V4L2_COLORSPACE_REC709);
+					v4l2_ctrl_s_ctrl(dev->colorspace, VIVID_CS_709);
 			} else {
-				v4l2_ctrl_s_ctrl(dev->colorspace, V4L2_COLORSPACE_SRGB);
+				v4l2_ctrl_s_ctrl(dev->colorspace, VIVID_CS_SRGB);
 			}
 			break;
 		}
-- 
2.1.1


^ permalink raw reply related	[flat|nested] 10+ messages in thread

* [RFCv1 PATCH 8/8] vivid: add support for YCbCr encoding and quantization
  2014-11-17 14:16 [RFCv1 PATCH 0/8] improve colorspace support Hans Verkuil
                   ` (6 preceding siblings ...)
  2014-11-17 14:16 ` [RFCv1 PATCH 7/8] vivid: add new colorspaces Hans Verkuil
@ 2014-11-17 14:16 ` Hans Verkuil
  2014-11-17 14:26 ` [RFCv1 PATCH 0/8] improve colorspace support Hans Verkuil
  8 siblings, 0 replies; 10+ messages in thread
From: Hans Verkuil @ 2014-11-17 14:16 UTC (permalink / raw)
  To: linux-media; +Cc: Hans Verkuil

From: Hans Verkuil <hans.verkuil@cisco.com>

Implement controls to set the YCbCr encoding and the quantization
range for the colorspace.

Signed-off-by: Hans Verkuil <hans.verkuil@cisco.com>
---
 drivers/media/platform/vivid/vivid-core.h       |  2 +
 drivers/media/platform/vivid/vivid-ctrls.c      | 86 +++++++++++++++++++++----
 drivers/media/platform/vivid/vivid-vid-cap.c    | 18 ++++++
 drivers/media/platform/vivid/vivid-vid-common.c |  4 ++
 drivers/media/platform/vivid/vivid-vid-out.c    | 25 +++++--
 5 files changed, 116 insertions(+), 19 deletions(-)

diff --git a/drivers/media/platform/vivid/vivid-core.h b/drivers/media/platform/vivid/vivid-core.h
index 834e425..387af6f 100644
--- a/drivers/media/platform/vivid/vivid-core.h
+++ b/drivers/media/platform/vivid/vivid-core.h
@@ -329,6 +329,8 @@ struct vivid_dev {
 	v4l2_std_id			std_out;
 	struct v4l2_dv_timings		dv_timings_out;
 	u32				colorspace_out;
+	u32				ycbcr_enc_out;
+	u32				quantization_out;
 	u32				service_set_out;
 	u32				bytesperline_out[2];
 	unsigned			tv_field_out;
diff --git a/drivers/media/platform/vivid/vivid-ctrls.c b/drivers/media/platform/vivid/vivid-ctrls.c
index dcb912d..857e786 100644
--- a/drivers/media/platform/vivid/vivid-ctrls.c
+++ b/drivers/media/platform/vivid/vivid-ctrls.c
@@ -62,19 +62,21 @@
 #define VIVID_CID_DV_TIMINGS_ASPECT_RATIO	(VIVID_CID_VIVID_BASE + 23)
 #define VIVID_CID_TSTAMP_SRC		(VIVID_CID_VIVID_BASE + 24)
 #define VIVID_CID_COLORSPACE		(VIVID_CID_VIVID_BASE + 25)
-#define VIVID_CID_LIMITED_RGB_RANGE	(VIVID_CID_VIVID_BASE + 26)
-#define VIVID_CID_ALPHA_MODE		(VIVID_CID_VIVID_BASE + 27)
-#define VIVID_CID_HAS_CROP_CAP		(VIVID_CID_VIVID_BASE + 28)
-#define VIVID_CID_HAS_COMPOSE_CAP	(VIVID_CID_VIVID_BASE + 29)
-#define VIVID_CID_HAS_SCALER_CAP	(VIVID_CID_VIVID_BASE + 30)
-#define VIVID_CID_HAS_CROP_OUT		(VIVID_CID_VIVID_BASE + 31)
-#define VIVID_CID_HAS_COMPOSE_OUT	(VIVID_CID_VIVID_BASE + 32)
-#define VIVID_CID_HAS_SCALER_OUT	(VIVID_CID_VIVID_BASE + 33)
-#define VIVID_CID_LOOP_VIDEO		(VIVID_CID_VIVID_BASE + 34)
-#define VIVID_CID_SEQ_WRAP		(VIVID_CID_VIVID_BASE + 35)
-#define VIVID_CID_TIME_WRAP		(VIVID_CID_VIVID_BASE + 36)
-#define VIVID_CID_MAX_EDID_BLOCKS	(VIVID_CID_VIVID_BASE + 37)
-#define VIVID_CID_PERCENTAGE_FILL	(VIVID_CID_VIVID_BASE + 38)
+#define VIVID_CID_YCBCR_ENC		(VIVID_CID_VIVID_BASE + 26)
+#define VIVID_CID_QUANTIZATION		(VIVID_CID_VIVID_BASE + 27)
+#define VIVID_CID_LIMITED_RGB_RANGE	(VIVID_CID_VIVID_BASE + 28)
+#define VIVID_CID_ALPHA_MODE		(VIVID_CID_VIVID_BASE + 29)
+#define VIVID_CID_HAS_CROP_CAP		(VIVID_CID_VIVID_BASE + 30)
+#define VIVID_CID_HAS_COMPOSE_CAP	(VIVID_CID_VIVID_BASE + 31)
+#define VIVID_CID_HAS_SCALER_CAP	(VIVID_CID_VIVID_BASE + 32)
+#define VIVID_CID_HAS_CROP_OUT		(VIVID_CID_VIVID_BASE + 33)
+#define VIVID_CID_HAS_COMPOSE_OUT	(VIVID_CID_VIVID_BASE + 34)
+#define VIVID_CID_HAS_SCALER_OUT	(VIVID_CID_VIVID_BASE + 35)
+#define VIVID_CID_LOOP_VIDEO		(VIVID_CID_VIVID_BASE + 36)
+#define VIVID_CID_SEQ_WRAP		(VIVID_CID_VIVID_BASE + 37)
+#define VIVID_CID_TIME_WRAP		(VIVID_CID_VIVID_BASE + 38)
+#define VIVID_CID_MAX_EDID_BLOCKS	(VIVID_CID_VIVID_BASE + 39)
+#define VIVID_CID_PERCENTAGE_FILL	(VIVID_CID_VIVID_BASE + 40)
 
 #define VIVID_CID_STD_SIGNAL_MODE	(VIVID_CID_VIVID_BASE + 60)
 #define VIVID_CID_STANDARD		(VIVID_CID_VIVID_BASE + 61)
@@ -358,6 +360,20 @@ static int vivid_vid_cap_s_ctrl(struct v4l2_ctrl *ctrl)
 		vivid_send_source_change(dev, HDMI);
 		vivid_send_source_change(dev, WEBCAM);
 		break;
+	case VIVID_CID_YCBCR_ENC:
+		tpg_s_ycbcr_enc(&dev->tpg, ctrl->val);
+		vivid_send_source_change(dev, TV);
+		vivid_send_source_change(dev, SVID);
+		vivid_send_source_change(dev, HDMI);
+		vivid_send_source_change(dev, WEBCAM);
+		break;
+	case VIVID_CID_QUANTIZATION:
+		tpg_s_quantization(&dev->tpg, ctrl->val);
+		vivid_send_source_change(dev, TV);
+		vivid_send_source_change(dev, SVID);
+		vivid_send_source_change(dev, HDMI);
+		vivid_send_source_change(dev, WEBCAM);
+		break;
 	case V4L2_CID_DV_RX_RGB_RANGE:
 		if (!vivid_is_hdmi_cap(dev))
 			break;
@@ -693,6 +709,44 @@ static const struct v4l2_ctrl_config vivid_ctrl_colorspace = {
 	.qmenu = vivid_ctrl_colorspace_strings,
 };
 
+static const char * const vivid_ctrl_ycbcr_enc_strings[] = {
+	"Default",
+	"ITU-R 601",
+	"Rec. 709",
+	"xvYCC 601",
+	"xvYCC 709",
+	"sYCC",
+	"BT.2020 Non-Constant Luminance",
+	"BT.2020 Constant Luminance",
+	"SMPTE 240M",
+	NULL,
+};
+
+static const struct v4l2_ctrl_config vivid_ctrl_ycbcr_enc = {
+	.ops = &vivid_vid_cap_ctrl_ops,
+	.id = VIVID_CID_YCBCR_ENC,
+	.name = "Y'CbCr Encoding",
+	.type = V4L2_CTRL_TYPE_MENU,
+	.max = 8,
+	.qmenu = vivid_ctrl_ycbcr_enc_strings,
+};
+
+static const char * const vivid_ctrl_quantization_strings[] = {
+	"Default",
+	"Full Range",
+	"Limited Range",
+	NULL,
+};
+
+static const struct v4l2_ctrl_config vivid_ctrl_quantization = {
+	.ops = &vivid_vid_cap_ctrl_ops,
+	.id = VIVID_CID_QUANTIZATION,
+	.name = "Quantization",
+	.type = V4L2_CTRL_TYPE_MENU,
+	.max = 2,
+	.qmenu = vivid_ctrl_quantization_strings,
+};
+
 static const struct v4l2_ctrl_config vivid_ctrl_alpha_mode = {
 	.ops = &vivid_vid_cap_ctrl_ops,
 	.id = VIVID_CID_ALPHA_MODE,
@@ -769,8 +823,12 @@ static int vivid_vid_out_s_ctrl(struct v4l2_ctrl *ctrl)
 				dev->colorspace_out = V4L2_COLORSPACE_SMPTE170M;
 			else
 				dev->colorspace_out = V4L2_COLORSPACE_REC709;
+			dev->quantization_out = V4L2_QUANTIZATION_DEFAULT;
 		} else {
 			dev->colorspace_out = V4L2_COLORSPACE_SRGB;
+			dev->quantization_out = dev->dvi_d_out ?
+					V4L2_QUANTIZATION_LIM_RANGE :
+					V4L2_QUANTIZATION_DEFAULT;
 		}
 		if (dev->loop_video)
 			vivid_send_source_change(dev, HDMI);
@@ -1307,6 +1365,8 @@ int vivid_create_controls(struct vivid_dev *dev, bool show_ccs_cap,
 		v4l2_ctrl_new_custom(hdl_vid_cap, &vivid_ctrl_tstamp_src, NULL);
 		dev->colorspace = v4l2_ctrl_new_custom(hdl_vid_cap,
 			&vivid_ctrl_colorspace, NULL);
+		v4l2_ctrl_new_custom(hdl_vid_cap, &vivid_ctrl_ycbcr_enc, NULL);
+		v4l2_ctrl_new_custom(hdl_vid_cap, &vivid_ctrl_quantization, NULL);
 		v4l2_ctrl_new_custom(hdl_vid_cap, &vivid_ctrl_alpha_mode, NULL);
 	}
 
diff --git a/drivers/media/platform/vivid/vivid-vid-cap.c b/drivers/media/platform/vivid/vivid-vid-cap.c
index 5caf912..985331b 100644
--- a/drivers/media/platform/vivid/vivid-vid-cap.c
+++ b/drivers/media/platform/vivid/vivid-vid-cap.c
@@ -498,6 +498,20 @@ static unsigned vivid_colorspace_cap(struct vivid_dev *dev)
 	return dev->colorspace_out;
 }
 
+static unsigned vivid_ycbcr_enc_cap(struct vivid_dev *dev)
+{
+	if (!dev->loop_video || vivid_is_webcam(dev) || vivid_is_tv_cap(dev))
+		return tpg_g_ycbcr_enc(&dev->tpg);
+	return dev->ycbcr_enc_out;
+}
+
+static unsigned vivid_quantization_cap(struct vivid_dev *dev)
+{
+	if (!dev->loop_video || vivid_is_webcam(dev) || vivid_is_tv_cap(dev))
+		return tpg_g_quantization(&dev->tpg);
+	return dev->quantization_out;
+}
+
 int vivid_g_fmt_vid_cap(struct file *file, void *priv,
 					struct v4l2_format *f)
 {
@@ -510,6 +524,8 @@ int vivid_g_fmt_vid_cap(struct file *file, void *priv,
 	mp->field        = dev->field_cap;
 	mp->pixelformat  = dev->fmt_cap->fourcc;
 	mp->colorspace   = vivid_colorspace_cap(dev);
+	mp->ycbcr_enc    = vivid_ycbcr_enc_cap(dev);
+	mp->quantization = vivid_quantization_cap(dev);
 	mp->num_planes = dev->fmt_cap->planes;
 	for (p = 0; p < mp->num_planes; p++) {
 		mp->plane_fmt[p].bytesperline = tpg_g_bytesperline(&dev->tpg, p);
@@ -595,6 +611,8 @@ int vivid_try_fmt_vid_cap(struct file *file, void *priv,
 		memset(pfmt[p].reserved, 0, sizeof(pfmt[p].reserved));
 	}
 	mp->colorspace = vivid_colorspace_cap(dev);
+	mp->ycbcr_enc = vivid_ycbcr_enc_cap(dev);
+	mp->quantization = vivid_quantization_cap(dev);
 	memset(mp->reserved, 0, sizeof(mp->reserved));
 	return 0;
 }
diff --git a/drivers/media/platform/vivid/vivid-vid-common.c b/drivers/media/platform/vivid/vivid-vid-common.c
index 16cd6d2..6bef1e6 100644
--- a/drivers/media/platform/vivid/vivid-vid-common.c
+++ b/drivers/media/platform/vivid/vivid-vid-common.c
@@ -259,6 +259,8 @@ void fmt_sp2mp(const struct v4l2_format *sp_fmt, struct v4l2_format *mp_fmt)
 	mp->pixelformat = pix->pixelformat;
 	mp->field = pix->field;
 	mp->colorspace = pix->colorspace;
+	mp->ycbcr_enc = pix->ycbcr_enc;
+	mp->quantization = pix->quantization;
 	mp->num_planes = 1;
 	mp->flags = pix->flags;
 	ppix->sizeimage = pix->sizeimage;
@@ -285,6 +287,8 @@ int fmt_sp2mp_func(struct file *file, void *priv,
 	pix->pixelformat = mp->pixelformat;
 	pix->field = mp->field;
 	pix->colorspace = mp->colorspace;
+	pix->ycbcr_enc = mp->ycbcr_enc;
+	pix->quantization = mp->quantization;
 	pix->sizeimage = ppix->sizeimage;
 	pix->bytesperline = ppix->bytesperline;
 	pix->flags = mp->flags;
diff --git a/drivers/media/platform/vivid/vivid-vid-out.c b/drivers/media/platform/vivid/vivid-vid-out.c
index 69c2dbd..65ff11e 100644
--- a/drivers/media/platform/vivid/vivid-vid-out.c
+++ b/drivers/media/platform/vivid/vivid-vid-out.c
@@ -259,6 +259,8 @@ void vivid_update_format_out(struct vivid_dev *dev)
 		}
 		break;
 	}
+	dev->ycbcr_enc_out = V4L2_YCBCR_ENC_DEFAULT;
+	dev->quantization_out = V4L2_QUANTIZATION_DEFAULT;
 	dev->compose_out = dev->sink_rect;
 	dev->compose_bounds_out = dev->sink_rect;
 	dev->crop_out = dev->compose_out;
@@ -318,6 +320,8 @@ int vivid_g_fmt_vid_out(struct file *file, void *priv,
 	mp->field        = dev->field_out;
 	mp->pixelformat  = dev->fmt_out->fourcc;
 	mp->colorspace   = dev->colorspace_out;
+	mp->ycbcr_enc    = dev->ycbcr_enc_out;
+	mp->quantization = dev->quantization_out;
 	mp->num_planes = dev->fmt_out->planes;
 	for (p = 0; p < mp->num_planes; p++) {
 		mp->plane_fmt[p].bytesperline = dev->bytesperline_out[p];
@@ -394,16 +398,23 @@ int vivid_try_fmt_vid_out(struct file *file, void *priv,
 		pfmt[p].sizeimage = pfmt[p].bytesperline * mp->height;
 		memset(pfmt[p].reserved, 0, sizeof(pfmt[p].reserved));
 	}
-	if (vivid_is_svid_out(dev))
+	mp->ycbcr_enc = V4L2_YCBCR_ENC_DEFAULT;
+	mp->quantization = V4L2_QUANTIZATION_DEFAULT;
+	if (vivid_is_svid_out(dev)) {
 		mp->colorspace = V4L2_COLORSPACE_SMPTE170M;
-	else if (dev->dvi_d_out || !(bt->standards & V4L2_DV_BT_STD_CEA861))
+	} else if (dev->dvi_d_out || !(bt->standards & V4L2_DV_BT_STD_CEA861)) {
 		mp->colorspace = V4L2_COLORSPACE_SRGB;
-	else if (bt->width == 720 && bt->height <= 576)
+		if (dev->dvi_d_out)
+			mp->quantization = V4L2_QUANTIZATION_LIM_RANGE;
+	} else if (bt->width == 720 && bt->height <= 576) {
 		mp->colorspace = V4L2_COLORSPACE_SMPTE170M;
-	else if (mp->colorspace != V4L2_COLORSPACE_SMPTE170M &&
-		 mp->colorspace != V4L2_COLORSPACE_REC709 &&
-		 mp->colorspace != V4L2_COLORSPACE_SRGB)
+	} else if (mp->colorspace != V4L2_COLORSPACE_SMPTE170M &&
+		   mp->colorspace != V4L2_COLORSPACE_REC709 &&
+		   mp->colorspace != V4L2_COLORSPACE_ADOBERGB &&
+		   mp->colorspace != V4L2_COLORSPACE_BT2020 &&
+		   mp->colorspace != V4L2_COLORSPACE_SRGB) {
 		mp->colorspace = V4L2_COLORSPACE_REC709;
+	}
 	memset(mp->reserved, 0, sizeof(mp->reserved));
 	return 0;
 }
@@ -522,6 +533,8 @@ int vivid_s_fmt_vid_out(struct file *file, void *priv,
 
 set_colorspace:
 	dev->colorspace_out = mp->colorspace;
+	dev->ycbcr_enc_out = mp->ycbcr_enc;
+	dev->quantization_out = mp->quantization;
 	if (dev->loop_video) {
 		vivid_send_source_change(dev, SVID);
 		vivid_send_source_change(dev, HDMI);
-- 
2.1.1


^ permalink raw reply related	[flat|nested] 10+ messages in thread

* Re: [RFCv1 PATCH 0/8] improve colorspace support
  2014-11-17 14:16 [RFCv1 PATCH 0/8] improve colorspace support Hans Verkuil
                   ` (7 preceding siblings ...)
  2014-11-17 14:16 ` [RFCv1 PATCH 8/8] vivid: add support for YCbCr encoding and quantization Hans Verkuil
@ 2014-11-17 14:26 ` Hans Verkuil
  8 siblings, 0 replies; 10+ messages in thread
From: Hans Verkuil @ 2014-11-17 14:26 UTC (permalink / raw)
  To: linux-media

On 11/17/2014 03:16 PM, Hans Verkuil wrote:
> This patch series improves the V4L2 colorspace support. Specifically
> it adds support for AdobeRGB and BT.2020 (UHDTV) colorspaces and it allows
> configuring the Y'CbCr encoding and the quantization explicitly if
> non-standard methods are used.
> 
> It's almost identical to the version shown during the mini-summit in Düsseldorf,
> but the V4L2_QUANTIZATION_ALT_RANGE has been replaced by LIM_RANGE and
> FULL_RANGE. After some more research additional YCbCr encodings have
> been added as well:
> 
> - V4L2_YCBCR_ENC_BT2020NC
> - V4L2_YCBCR_ENC_SYCC
> - V4L2_YCBCR_ENC_SMPTE240M
> 
> The SYCC encoding was missing (I thought I could use ENC_601 for this, but
> it's not quite the same) and the other two were implicitly defined via
> YCBCR_ENC_DEFAULT and the current colorspace. That's a bit too magical
> and these encodings should be defined explicitly.
> 
> The first three patches add the new defines and fields to the core. The 
> changes are very minor.
> 
> The fourth patch completely overhauls the Colorspace chapter in the spec.
> There is no point trying to read the diff, instead I've made the html
> available here:
> 
> http://hverkuil.home.xs4all.nl/colorspace.html#colorspaces
> 
> The remaining patches add support for the new colorspace functionality
> to the test pattern generator and the vivid driver.

I forgot to mention that for the final version of this patch series I plan
to add support for these newer colorspaces to the adv7604, 7842 and 7511
drivers. This requires a bit more work, though.

Regards,

	Hans

^ permalink raw reply	[flat|nested] 10+ messages in thread

end of thread, other threads:[~2014-11-17 14:26 UTC | newest]

Thread overview: 10+ messages (download: mbox.gz / follow: Atom feed)
-- links below jump to the message on this page --
2014-11-17 14:16 [RFCv1 PATCH 0/8] improve colorspace support Hans Verkuil
2014-11-17 14:16 ` [RFCv1 PATCH 1/8] videodev2.h: " Hans Verkuil
2014-11-17 14:16 ` [RFCv1 PATCH 2/8] v4l2-mediabus: " Hans Verkuil
2014-11-17 14:16 ` [RFCv1 PATCH 3/8] v4l2-ioctl.c: log the new ycbcr_enc and quantization fields Hans Verkuil
2014-11-17 14:16 ` [RFCv1 PATCH 4/8] DocBook media: rewrite the Colorspace chapter Hans Verkuil
2014-11-17 14:16 ` [RFCv1 PATCH 5/8] vivid-tpg-colors: add AdobeRGB and BT.2020 support Hans Verkuil
2014-11-17 14:16 ` [RFCv1 PATCH 6/8] vivid-tpg: improve colorspace support Hans Verkuil
2014-11-17 14:16 ` [RFCv1 PATCH 7/8] vivid: add new colorspaces Hans Verkuil
2014-11-17 14:16 ` [RFCv1 PATCH 8/8] vivid: add support for YCbCr encoding and quantization Hans Verkuil
2014-11-17 14:26 ` [RFCv1 PATCH 0/8] improve colorspace support Hans Verkuil

This is a public inbox, see mirroring instructions
for how to clone and mirror all data and code used for this inbox;
as well as URLs for NNTP newsgroup(s).