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@ -101,13 +101,14 @@ lossless image. It is intended as a detailed reference for WebP lossless
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encoder and decoder implementation.
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In this document, we use extensively the syntax of the C programming
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language to describe the bitstream, and assume the existence of a function
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for reading bits, ReadBits(n). The bytes are read in the natural order of
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the stream containing them, and bits of each byte are read in the least-
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significant-bit-first order. When multiple bits are read at the same time
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the integer is constructed from the original data in the original order,
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the most significant bits of the returned integer are also the most
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significant bits of the original data. Thus the statement
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language to describe the bitstream, and assume the existence of a
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function for reading bits, `ReadBits(n)`. The bytes are read in the
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natural order of the stream containing them, and bits of each byte are
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read in the least-significant-bit-first order. When multiple bits are
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read at the same time the integer is constructed from the original data
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in the original order, the most significant bits of the returned
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integer are also the most significant bits of the original data. Thus
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the statement
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~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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b = ReadBits(2);
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@ -214,16 +215,16 @@ different types.
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### Predictor transform
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The predictor transform can be used to reduce entropy by exploiting the
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fact that neighboring pixels are often correlated. In the predictor
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transform, the current pixel value is predicted from the pixels already
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decoded (in scan-line order) and only the residual value (actual -
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predicted) is encoded. The prediction mode determines the type of
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prediction to use. We divide the image into squares and all the pixels in a
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square use same prediction mode.
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The predictor transform can be used to reduce entropy by exploiting the
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fact that neighboring pixels are often correlated. In the predictor
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transform, the current pixel value is predicted from the pixels already
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decoded (in scan-line order) and only the residual value (actual -
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predicted) is encoded. The _prediction mode_ determines the type of
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prediction to use. We divide the image into squares and all the pixels
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in a square use same prediction mode.
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The first 4 bits of prediction data define the block width and height in
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number of bits. The number of block columns, block_xsize, is used in
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The first 4 bits of prediction data define the block width and height in
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number of bits. The number of block columns, _block_xsize_, is used in
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indexing two-dimensionally.
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~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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@ -235,11 +236,12 @@ int block_xsize = DIV_ROUND_UP(image_width, 1 << size_bits);
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~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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The transform data contains the prediction mode for each block of the
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image. All the block_width * block_height pixels of a block use same
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prediction mode. The prediction modes are treated as pixels of an image and
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encoded using the same techniques described in chapter 4.
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image. All the `block_width * block_height` pixels of a block use same
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prediction mode. The prediction modes are treated as pixels of an image
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and encoded using the same techniques described in chapter 4.
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For a pixel x, y, one can compute the respective filter block address by:
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For a pixel _x, y_, one can compute the respective filter block address
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by:
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~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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int block_index = (y >> size_bits) * block_xsize +
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@ -288,7 +290,7 @@ defined as follows.
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| 13 | ClampedAddSubtractHalf(Average2(L, T), TL) |
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Average2 is defined as follows for each ARGB component:
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`Average2` is defined as follows for each ARGB component:
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~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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uint8 Average2(uint8 a, uint8 b) {
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@ -323,7 +325,7 @@ uint32 Select(uint32 L, uint32 T, uint32 TL) {
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}
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~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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The function ClampedAddSubstractFull and ClampedAddSubstractHalf are
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The function `ClampedAddSubstractFull` and `ClampedAddSubstractHalf` are
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performed for each ARGB component as follows:
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~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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@ -378,10 +380,10 @@ typedef struct {
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~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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The actual color transformation is done by defining a color transform
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delta. The color transform delta depends on the ColorTransformElement which
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is same for all the pixels in a particular block. The delta is added during
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color transform. The inverse color transform then is just subtracting those
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deltas.
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delta. The color transform delta depends on the `ColorTransformElement`
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which is same for all the pixels in a particular block. The delta is
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added during color transform. The inverse color transform then is just
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subtracting those deltas.
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The color transform function is defined as follows:
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@ -413,9 +415,9 @@ void ColorTransform(uint8 red, uint8 blue, uint8 green,
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}
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~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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ColorTransformDelta is computed using a signed 8-bit integer representing a
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3.5-fixed-point number, and a signed 8-bit RGB color channel (c) [-
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128..127] and is defined as follows:
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`ColorTransformDelta` is computed using a signed 8-bit integer
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representing a 3.5-fixed-point number, and a signed 8-bit RGB color
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channel (c) [-128..127] and is defined as follows:
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~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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int8 ColorTransformDelta(int8 t, int8 c) {
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@ -561,24 +563,25 @@ if (color_table_size <= 2) {
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}
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~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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The width_bits has a value of 0, 1, 2 or 3. A value of 0 indicates no pixel
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bundling to be done for the image. A value of 1 indicates that two pixels
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are combined together, and each pixel has a range of [0..15]. A value of 2
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indicates that four pixels are combined together, and each pixel has a
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range of [0..3]. A value of 3 indicates that eight pixels are combined
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together and each pixels has a range of [0..1], i.e., a binary value.
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The _width_bits_ has a value of 0, 1, 2 or 3. A value of 0 indicates no
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pixel bundling to be done for the image. A value of 1 indicates that two
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pixels are combined together, and each pixel has a range of [0..15]. A
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value of 2 indicates that four pixels are combined together, and each
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pixel has a range of [0..3]. A value of 3 indicates that eight pixels
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are combined together and each pixels has a range of [0..1], i.e., a
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binary value.
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The values are packed into the green component as follows:
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* width_bits = 1: for every x value where x ≡ 0 (mod 2), a green value
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* _width_bits_ = 1: for every x value where x ≡ 0 (mod 2), a green value
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at x is positioned into the 4 least-significant bits of the green
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value at x / 2, a green value at x + 1 is positioned into the 4 most-
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significant bits of the green value at x / 2.
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* width_bits = 2: for every x value where x ≡ 0 (mod 4), a green value
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* _width_bits_ = 2: for every x value where x ≡ 0 (mod 4), a green value
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at x is positioned into the 2 least-significant bits of the green
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value at x / 4, green values at x + 1 to x + 3 in order to the more
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significant bits of the green value at x / 4.
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* width_bits = 3: for every x value where x ≡ 0 (mod 8), a green value
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* _width_bits_ = 3: for every x value where x ≡ 0 (mod 8), a green value
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at x is positioned into the least-significant bit of the green value
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at x / 8, green values at x + 1 to x + 7 in order to the more
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significant bits of the green value at x / 8.
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@ -611,8 +614,8 @@ code, and in order to minimize this cost, statistically similar blocks can
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share an entropy code. The blocks sharing an entropy code can be found by
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clustering their statistical properties, or by repeatedly joining two
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randomly selected clusters when it reduces the overall amount of bits
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needed to encode the image. [See section "Decoding of meta Huffman codes"
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in Chapter 5 for an explanation of how this entropy image is stored.]
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needed to encode the image. [See section _"Decoding of meta Huffman codes"_
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in Chapter 5 for an explanation of how this _entropy image_ is stored.]
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Each pixel is encoded using one of three possible methods:
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@ -707,8 +710,8 @@ no difference in x, and 1 pixel difference in y (indicating previous row).
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~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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The distances codes that map into these tuples are changes into scan-line
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order distances using the following formula: dist = x + y * xsize, where
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xsize is the width of the image in pixels.
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order distances using the following formula: _dist = x + y * xsize_, where
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_xsize_ is the width of the image in pixels.
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### Color Cache Code
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@ -729,15 +732,15 @@ int color_cache_code_bits = ReadBits(br, 4);
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int color_cache_size = 1 << color_cache_code_bits;
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~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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color_cache_code_bits defines the size of the color_cache by (1 <<
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color_cache_code_bits). The range of allowed values for
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color_cache_code_bits is [1..11]. Compliant decoders must indicate a
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_color_cache_code_bits_ defines the size of the color_cache by (1 <<
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_color_cache_code_bits_). The range of allowed values for
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_color_cache_code_bits_ is [1..11]. Compliant decoders must indicate a
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corrupted bit stream for other values.
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A color cache is an array of the size color_cache_size. Each entry stores
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A color cache is an array of the size _color_cache_size_. Each entry stores
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one ARGB color. Colors are looked up by indexing them by (0x1e35a7bd *
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color) >> (32 - color_cache_code_bits). Only one lookup is done in a color
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cache, there is no conflict resolution.
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_color_) >> (32 - _color_cache_code_bits_). Only one lookup is done in a
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color cache, there is no conflict resolution.
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In the beginning of decoding or encoding of an image, all entries in all
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color cache values are set to zero. The color cache code is converted to
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@ -796,8 +799,8 @@ Read next symbol S
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### Decoding the code lengths
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There are two different ways to encode the code lengths of a Huffman code,
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indicated by the first bit of the code: simple code length code (1), and
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normal code length code (0).
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indicated by the first bit of the code: _simple code length code_ (1), and
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_normal code length code_ (0).
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#### Simple code length code
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@ -832,9 +835,9 @@ the color cache.
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#### Normal code length code
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The code lengths of a Huffman code are read as follows. num_codes specifies
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The code lengths of a Huffman code are read as follows. _num_codes_ specifies
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the number of code lengths, the rest of the codes lengths (according to the
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order in kCodeLengthCodeOrder) are zeros.
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order in _kCodeLengthCodeOrder_) are zeros.
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~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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int kCodeLengthCodes = 19;
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@ -856,7 +859,7 @@ for (i = 0; i < num_codes; ++i) {
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The entropy codes for alpha, red and blue have a total of 256 symbols. The
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entropy code for distance prefix codes has 40 symbols. The entropy code for
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green has 256 + 24 + color_cache_size, 256 symbols for different green
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green has 256 + 24 + _color_cache_size_, 256 symbols for different green
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symbols, 24 length code prefix symbols, and symbols for the color cache.
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The meta Huffman code, specified in the next section, defines how many
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@ -877,7 +880,7 @@ respectively. This meta Huffman code is used everywhere in the image.
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If this bit is one, the meta Huffman codes are controlled by the entropy
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image, where the index of the meta Huffman code is codified in the red and
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green components. The index can be obtained from the uint32 value by
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((pixel >> 8) & 0xffff), thus there can be up to 65536 unique meta Huffman
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_((pixel >> 8) & 0xffff)_, thus there can be up to 65536 unique meta Huffman
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codes. When decoding a Huffman encoded symbol at a pixel x, y, one chooses
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the meta Huffman code respective to these coordinates. However, not all
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bits of the coordinates are used for choosing the meta Huffman code, i.e.,
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@ -889,10 +892,10 @@ int huffman_xsize = DIV_ROUND_UP(xsize, 1 << huffman_bits);
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int huffman_ysize = DIV_ROUND_UP(ysize, 1 << huffman_bits);
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~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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huffman_bits gives the amount of subsampling in the entropy image.
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_huffman_bits_ gives the amount of subsampling in the entropy image.
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After reading the huffman_bits, an entropy image stream of size
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huffman_xsize, huffman_ysize is read.
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After reading the _huffman_bits_, an entropy image stream of size
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_huffman_xsize_, _huffman_ysize_ is read.
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The meta Huffman code, identifying the five Huffman codes per meta Huffman
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code, is coded only by the number of codes:
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@ -909,11 +912,11 @@ meta_codes[(entropy_image[(y >> huffman_bits) * huffman_xsize +
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(x >> huffman_bits)] >> 8) & 0xffff]
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~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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The huffman_code[5 * meta_code + k], codes with k == 0 are for the green &
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length code, k == 4 for the distance code, and the codes at k == 1, 2, and
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The _huffman_code[5 * meta_code + k]_, codes with _k_ == 0 are for the green &
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length code, _k_ == 4 for the distance code, and the codes at _k_ == 1, 2, and
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3, are for codes of length 256 for red, blue and alpha, respectively.
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The value of k for the reference position in meta_code determines the
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The value of k for the reference position in _meta_code_ determines the
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length of the Huffman code:
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* k = 0; length = 256 + 24 + cache_size
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