Vulkan-Docs/appendices/compressedtex.txt

// Copyright (c) 2015-2019 Khronos Group. This work is licensed under a
// Creative Commons Attribution 4.0 International License; see
// http://creativecommons.org/licenses/by/4.0/

[appendix]
= Compressed Image Formats

The compressed texture formats used by Vulkan are described in the
specifically identified sections of the <<data-format,Khronos Data Format
Specification>>, version 1.1.

Unless otherwise described, the quantities encoded in these compressed
formats are treated as normalized, unsigned values.

Those formats listed as sRGB-encoded have in-memory representations of
[eq]#R#, [eq]#G# and [eq]#B# components which are nonlinearly-encoded as
[eq]#R'#, [eq]#G'#, and [eq]#B'#; any alpha component is unchanged.
As part of filtering, the nonlinear [eq]#R'#, [eq]#G'#, and [eq]#B'# values
are converted to linear [eq]#R#, [eq]#G#, and [eq]#B# components; any alpha
component is unchanged.
The conversion between linear and nonlinear encoding is performed as
described in the "`KHR_DF_TRANSFER_SRGB`" section of the Khronos Data Format
Specification.

<<<

[[appendix-compressedtex-bc]]
== Block-Compressed Image Formats

.Mapping of Vulkan BC formats to descriptions
[width="90%",options="header",cols="5,4"]
|====
| elink:VkFormat | <<data-format,Khronos Data Format Specification>> description
2+^| Formats described in the "`S3TC Compressed Texture Image Formats`" chapter
| ename:VK_FORMAT_BC1_RGB_UNORM_BLOCK |BC1 with no alpha
| ename:VK_FORMAT_BC1_RGB_SRGB_BLOCK  |BC1 with no alpha, sRGB-encoded
| ename:VK_FORMAT_BC1_RGBA_UNORM_BLOCK|BC1 with alpha
| ename:VK_FORMAT_BC1_RGBA_SRGB_BLOCK |BC1 with alpha, sRGB-encoded
| ename:VK_FORMAT_BC2_UNORM_BLOCK     |BC2
| ename:VK_FORMAT_BC2_SRGB_BLOCK      |BC2, sRGB-encoded
| ename:VK_FORMAT_BC3_UNORM_BLOCK     |BC3
| ename:VK_FORMAT_BC3_SRGB_BLOCK      |BC3, sRGB-encoded
2+^| Formats described in the "`RGTC Compressed Texture Image Formats`" chapter
| ename:VK_FORMAT_BC4_UNORM_BLOCK     |BC4 unsigned
| ename:VK_FORMAT_BC4_SNORM_BLOCK     |BC4 signed
| ename:VK_FORMAT_BC5_UNORM_BLOCK     |BC5 unsigned
| ename:VK_FORMAT_BC5_SNORM_BLOCK     |BC5 signed
2+^| Formats described in the "`BPTC Compressed Texture Image Formats`" chapter
| ename:VK_FORMAT_BC6H_UFLOAT_BLOCK   |BC6H (unsigned version)
| ename:VK_FORMAT_BC6H_SFLOAT_BLOCK   |BC6H (signed version)
| ename:VK_FORMAT_BC7_UNORM_BLOCK     |BC7
| ename:VK_FORMAT_BC7_SRGB_BLOCK      |BC7, sRGB-encoded
|====

<<<

[[appendix-compressedtex-etc2]]
== ETC Compressed Image Formats

The following formats are described in the "`ETC2 Compressed Texture Image
Formats`" chapter of the <<data-format,Khronos Data Format Specification>>.

.Mapping of Vulkan ETC formats to descriptions
[options="header",cols="1,1"]
|====
| elink:VkFormat | <<data-format,Khronos Data Format Specification>> description
| ename:VK_FORMAT_ETC2_R8G8B8_UNORM_BLOCK     |RGB ETC2
| ename:VK_FORMAT_ETC2_R8G8B8_SRGB_BLOCK      |RGB ETC2 with sRGB encoding
| ename:VK_FORMAT_ETC2_R8G8B8A1_UNORM_BLOCK   |RGB ETC2 with punch-through alpha
| ename:VK_FORMAT_ETC2_R8G8B8A1_SRGB_BLOCK    |RGB ETC2 with punch-through alpha and sRGB
| ename:VK_FORMAT_ETC2_R8G8B8A8_UNORM_BLOCK   |RGBA ETC2
| ename:VK_FORMAT_ETC2_R8G8B8A8_SRGB_BLOCK    |RGBA ETC2 with sRGB encoding
| ename:VK_FORMAT_EAC_R11_UNORM_BLOCK         |Unsigned R11 EAC
| ename:VK_FORMAT_EAC_R11_SNORM_BLOCK         |Signed R11 EAC
| ename:VK_FORMAT_EAC_R11G11_UNORM_BLOCK      |Unsigned RG11 EAC
| ename:VK_FORMAT_EAC_R11G11_SNORM_BLOCK      |Signed RG11 EAC
|====

<<<

[[appendix-compressedtex-astc]]
== ASTC Compressed Image Formats

ASTC formats are described in the "`ASTC Compressed Texture Image Formats`"
chapter of the <<data-format,Khronos Data Format Specification>>.

.Mapping of Vulkan ASTC formats to descriptions
[width="75%",options="header",cols="63%,15%,22%"]
|====
| elink:VkFormat ^| Compressed texel block dimensions ^| sRGB-encoded
| ename:VK_FORMAT_ASTC_4x4_UNORM_BLOCK    ^|[eq]#4 {times} 4# ^|No
| ename:VK_FORMAT_ASTC_4x4_SRGB_BLOCK     ^|[eq]#4 {times} 4# ^|Yes
| ename:VK_FORMAT_ASTC_5x4_UNORM_BLOCK    ^|[eq]#5 {times} 4# ^|No
| ename:VK_FORMAT_ASTC_5x4_SRGB_BLOCK     ^|[eq]#5 {times} 4# ^|Yes
| ename:VK_FORMAT_ASTC_5x5_UNORM_BLOCK    ^|[eq]#5 {times} 5# ^|No
| ename:VK_FORMAT_ASTC_5x5_SRGB_BLOCK     ^|[eq]#5 {times} 5# ^|Yes
| ename:VK_FORMAT_ASTC_6x5_UNORM_BLOCK    ^|[eq]#6 {times} 5# ^|No
| ename:VK_FORMAT_ASTC_6x5_SRGB_BLOCK     ^|[eq]#6 {times} 5# ^|Yes
| ename:VK_FORMAT_ASTC_6x6_UNORM_BLOCK    ^|[eq]#6 {times} 6# ^|No
| ename:VK_FORMAT_ASTC_6x6_SRGB_BLOCK     ^|[eq]#6 {times} 6# ^|Yes
| ename:VK_FORMAT_ASTC_8x5_UNORM_BLOCK    ^|[eq]#8 {times} 5# ^|No
| ename:VK_FORMAT_ASTC_8x5_SRGB_BLOCK     ^|[eq]#8 {times} 5# ^|Yes
| ename:VK_FORMAT_ASTC_8x6_UNORM_BLOCK    ^|[eq]#8 {times} 6# ^|No
| ename:VK_FORMAT_ASTC_8x6_SRGB_BLOCK     ^|[eq]#8 {times} 6# ^|Yes
| ename:VK_FORMAT_ASTC_8x8_UNORM_BLOCK    ^|[eq]#8 {times} 8# ^|No
| ename:VK_FORMAT_ASTC_8x8_SRGB_BLOCK     ^|[eq]#8 {times} 8# ^|Yes
| ename:VK_FORMAT_ASTC_10x5_UNORM_BLOCK   ^|[eq]#10 {times} 5# ^|No
| ename:VK_FORMAT_ASTC_10x5_SRGB_BLOCK    ^|[eq]#10 {times} 5# ^|Yes
| ename:VK_FORMAT_ASTC_10x6_UNORM_BLOCK   ^|[eq]#10 {times} 6# ^|No
| ename:VK_FORMAT_ASTC_10x6_SRGB_BLOCK    ^|[eq]#10 {times} 6# ^|Yes
| ename:VK_FORMAT_ASTC_10x8_UNORM_BLOCK   ^|[eq]#10 {times} 8# ^|No
| ename:VK_FORMAT_ASTC_10x8_SRGB_BLOCK    ^|[eq]#10 {times} 8# ^|Yes
| ename:VK_FORMAT_ASTC_10x10_UNORM_BLOCK  ^|[eq]#10 {times} 10# ^|No
| ename:VK_FORMAT_ASTC_10x10_SRGB_BLOCK   ^|[eq]#10 {times} 10# ^|Yes
| ename:VK_FORMAT_ASTC_12x10_UNORM_BLOCK  ^|[eq]#12 {times} 10# ^|No
| ename:VK_FORMAT_ASTC_12x10_SRGB_BLOCK   ^|[eq]#12 {times} 10# ^|Yes
| ename:VK_FORMAT_ASTC_12x12_UNORM_BLOCK  ^|[eq]#12 {times} 12# ^|No
| ename:VK_FORMAT_ASTC_12x12_SRGB_BLOCK   ^|[eq]#12 {times} 12# ^|Yes
|====

ifdef::VK_EXT_astc_decode_mode[]

=== ASTC decode mode

If the `VK_EXT_astc_decode_mode` extension is enabled the ASTC decoding
described in the <<data-format,Khronos Data Format Specification>> is
modified by replacing or modifying the corresponding sections as described
below.

.Mapping of Vulkan ASTC decoding format to ASTC decoding modes
[width="75%",options="header",cols="75%,25%"]
|====
| elink:VkFormat ^| Decoding mode
| ename:VK_FORMAT_R16G16B16A16_SFLOAT    ^| decode_float16
| ename:VK_FORMAT_R8G8B8A8_UNORM         ^| decode_unorm8
| ename:VK_FORMAT_E5B9G9R9_UFLOAT_PACK32 ^| decode_rgb9e5
|====

==== LDR and HDR Modes

[NOTE]
.Note
====
This replaces section 16.5 in the <<data-format,Khronos Data Format
Specification>>.
====

The decoding process for LDR content can be simplified if it is known in
advance that sRGB output is required.
This selection is therefore included as part of the global configuration.

The two modes differ in various ways, as shown in
<<appendix-compressedtex-astc-differences-between-ldr-and-hdr-modes, ASTC
differences between LDR and HDR modes>>.

[[appendix-compressedtex-astc-differences-between-ldr-and-hdr-modes]]
.ASTC differences between LDR and HDR modes
[width="75%",options="header"]
|====
| Operation | LDR Mode | HDR Mode
| Returned Value | Determined by decoding mode | Determined by decoding mode
| sRGB compatible | Yes | No
| LDR endpoint decoding precision | 16 bits, or 8 bits for sRGB | 16 bits
| HDR endpoint mode results | Error color | As decoded
| Error results | Error color | Vector of NaNs (0xFFFF)
|====

The type of the values returned by the decoding process is determined by the
decoding mode as shown in <<appendix-compressedtex-astc-decoding-modes, ASTC
decoding modes>>.

[[appendix-compressedtex-astc-decoding-modes]]
.ASTC decoding modes
[width="75%",options="header"]
|====
| Decode mode    | LDR Mode              | HDR Mode
| decode_float16 | Vector of FP16 values | Vector of FP16 values
| decode_unorm8  | Vector of 8-bit unsigned normalized values | invalid
| decode_rgb9e5  | Vector using a shared exponent format | Vector using a shared exponent format
|====

Using the decode_unorm8 decoding mode in HDR mode gives undefined results.

For sRGB, the decoding mode is ignored, and the decoding always returns a
vector of 8-bit unsigned normalized values.

The error color is opaque fully-saturated magenta [eq]#[(R,G,B,A) =
(0xFF,0x00,0xFF,0xFF)#.
This has been chosen as it is much more noticeable than black or white, and
occurs far less often in valid images.

For linear RGB decode, the error color may: be either opaque fully-saturated
magenta [eq]#(R,G,B,A) = (1.0,0.0,1.0,1.0)# or a vector of four NaNs
[eq]#(R,G,B,A) = (NaN,NaN,NaN,NaN)#.
In the latter case, the recommended [eq]#NaN# value returned is
[eq]#0xFFFF#.

When using the decode_rgb9e5 decoding mode in HDR mode, error results will
return the error color because NaN cannot be represented.

The error color is returned as an informative response to invalid
conditions, including invalid block encodings or use of reserved endpoint
modes.

Future, forward-compatible extensions to ASTC may define valid
interpretations of these conditions, which will decode to some other color.
Therefore, encoders and applications must not rely on invalid encodings as a
way of generating the error color.


[[appendix-compressedtex-astc-weight-application]]

[NOTE]
.Note
====
This replaces section 16.19 in the <<data-format,Khronos Data Format
Specification>>.
====

Once the effective weight _i_ for the texel has been calculated, the color
endpoints are interpolated and expanded.

For LDR endpoint modes, each color component C is calculated from the
corresponding 8-bit endpoint components C~0~ and C~1~ as follows:

If sRGB conversion is not enabled, or for the alpha channel in any case,
C~0~ and C~1~ are first expanded to 16 bits by bit replication:

-----
C0 = (C0 << 8) | C0;    C1 = (C1 << 8) | C1;
-----

If sRGB conversion is enabled, C~0~ and C~1~ for the R, G, and B channels
are expanded to 16 bits differently, as follows:

-----
C0 = (C0 << 8) | 0x80;  C1 = (C1 << 8) | 0x80;
-----

C~0~ and C~1~ are then interpolated to produce a UNORM16 result C:

-----
C = floor( (C0*(64-i) + C1*i + 32)/64 )
-----

If sRGB conversion is not enabled and the decoding mode is decode_float16,
then if C = 65535 the final result is 1.0 (0x3C00); otherwise C is divided
by 65536 and the infinite-precision result of the division is converted to
FP16 with round-to-zero semantics.

If sRGB conversion is not enabled and the decoding mode is decode_unorm8,
then top 8 bits of the interpolation result for the R, G, B, and A channels
are used as the final result.

If sRGB conversion is not enabled and the decoding mode is decode_rgb9e5,
then the final result is a combination of the (UNORM16) values of C for the
three color components (Cr, Cg, and Cb) computed as follows:

-----
int lz = clz17( Cr | Cg | Cb | 1);
if (Cr == 65535 ) { Cr = 65536; lz = 0; }
if (Cg == 65535 ) { Cg = 65536; lz = 0; }
if (Cb == 65535 ) { Cb = 65536; lz = 0; }
Cr <<= lz;
Cg <<= lz;
Cb <<= lz;
Cr = (Cr >> 8) & 0x1FF;
Cg = (Cg >> 8) & 0x1FF;
Cb = (Cb >> 8) & 0x1FF;
uint32_t exponent = 16 - lz;
uint32_t texel = (exponent << 27) | (Cb << 18) | (Cg << 9) | Cr;
-----

The clz17() function counts leading zeros in a 17-bit value.

If sRGB conversion is enabled, then the decoding mode is ignored, and the
top 8 bits of the interpolation result for the R, G and B channels are
passed to the external sRGB conversion block and used as the final result.
The A channle uses the decode_float16 decoding mode.

For HDR endpoint modes, color values are represented in a 12-bit
pseudo-logarithmic representation, and interpolation occurs in a
piecewise-approximate logarithmic manner as follows:

In LDR mode, the error result is returned.

In HDR mode, the color components from each endpoint, C~0~ and C~1~, are
initially shifted left 4 bits to become 16-bit integer values and these are
interpolated in the same way as LDR.
The 16-bit value C is then decomposed into the top five bits, E, and the
bottom 11 bits M, which are then processed and recombined with E to form the
final value C~f~:

-----
C = floor( (C0*(64-i) + C1*i + 32)/64 )
E = (C & 0xF800) >> 11; M = C & 0x7FF;
if (M < 512) { Mt = 3*M; }
else if (M >= 1536) { Mt = 5*M - 2048; }
else { Mt = 4*M - 512; }
Cf = (E<<10) + (Mt>>3)
-----

This interpolation is a considerably closer approximation to a logarithmic
space than simple 16-bit interpolation.

This final value C~f~ is interpreted as an IEEE FP16 value.
If the result is +Inf or NaN, it is converted to the bit pattern 0x7BFF,
which is the largest representable finite value.

If the decoding mode is decode_rgb9e5, then the final result is a
combination of the (IEEE FP16) values of Cf for the three color components
(Cr, Cg, and Cb) computed as follows:

-----
if( Cr > 0x7c00 ) Cr = 0; else if( Cr == 0x7c00 ) Cr = 0x7bff;
if( Cg > 0x7c00 ) Cg = 0; else if( Cg == 0x7c00 ) Cg = 0x7bff;
if( Cb > 0x7c00 ) Cb = 0; else if( Cb == 0x7c00 ) Cb = 0x7bff;
int Re = (Cr >> 10) & 0x1F;
int Ge = (Cg >> 10) & 0x1F;
int Be = (Cb >> 10) & 0x1F;
int Rex = Re == 0 ? 1 : Re;
int Gex = Ge == 0 ? 1 : Ge;
int Bex = Be == 0 ? 1 : Be;
int Xm = ((Cr | Cg | Cb) & 0x200) >> 9;
int Xe = Re | Ge | Be;
uint32_t rshift, gshift, bshift, expo;

if (Xe == 0)
{
    expo = rshift = gshift = bshift = Xm;
}
else if (Re >= Ge && Re >= Be)
{
    expo = Rex + 1;
    rshift = 2;
    gshift = Rex - Gex + 2;
    bshift = Rex - Bex + 2;
}
else if (Ge >= Be)
{
    expo = Gex + 1;
    rshift = Gex - Rex + 2;
    gshift = 2;
    bshift = Gex - Bex + 2;
}
else
{
    expo = Bex + 1;
    rshift = Bex - Rex + 2;
    gshift = Bex - Gex + 2;
    bshift = 2;
}

int Rm = (Cr & 0x3FF) | (Re == 0 ? 0 : 0x400);
int Gm = (Cg & 0x3FF) | (Ge == 0 ? 0 : 0x400);
int Bm = (Cb & 0x3FF) | (Be == 0 ? 0 : 0x400);
Rm = (Rm >> rshift) & 0x1FF;
Gm = (Gm >> gshift) & 0x1FF;
Bm = (Bm >> bshift) & 0x1FF;

uint32_t texel = (expo << 27) | (Bm << 18) | (Gm << 9) | (Rm << 0);
-----

=== Void-Extent Blocks

[NOTE]
.Note
====
This modifies section 16.23 in the <<data-format,Khronos Data Format
Specification>>.
====

In the HDR case, if the decoding mode is decode_rgb9e5, then any negative
color component values are set to 0 before conversion to the shared exponent
format (as described in <<appendix-compressedtex-astc-weight-application,
Weight Application>>).

endif::VK_EXT_astc_decode_mode[]