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[spec] Rework and correct explanation of deduplication tables.
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@@ -121,60 +121,77 @@ The size type defines the following type of entries:
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|Each entry uses five bytes, with the leftmost byte used for flags and the next three bytes used as a pointer to the sector or next level.
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|===
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==== Sector Pointer Resolution and Table Levels
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==== Interpretation of Deduplication Table Entries
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When `levels` is equal to 1—indicating a single-level deduplication table—each entry in the table corresponds directly to a media sector.
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The pointer value is resolved using the following procedure:
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Decoding deduplication tables may seem complex initially, but the logic is structured and manageable.
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Three parameters are critical for interpreting deduplication table entries:
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- Right-shift the raw pointer value by the `shift` value.
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- Multiply the result by the `alignment` to compute the absolute byte offset of the target data block.
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- The remainder of the original pointer value modulo `(1 << shift)` yields the item index within the block.
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- *block_alignment_shift*
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- *table_shift*
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- *data_shift*
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Each data block stores a fixed number of bytes per sector, allowing compact and efficient sector addressing.
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These parameters are stored in both the master header and each deduplication table header to support reliable decoding.
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_For example_:
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Given a pointer value of `0x8003`, a `shift` of 5, and an `alignment` of 9:
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- `0x8003 >> 5 = 0x400 = 1024`
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- `1024 * 9 = 9216`
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- The sector index within the block is `0x8003 & 0x1F = 3`
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===== Block Alignment
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Thus, the sector is located at byte offset `9216`, and it is the 3rd item in the block.
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Each block in the image is aligned to a boundary of `2 << block_alignment_shift`.
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This alignment is essential for technical consistency and performance.
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===== Multi-Level Tables
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===== Table Shift
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When `levels > 1`, the interpretation of pointer entries changes substantially.
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Although typical usage involves no more than two levels, implementations **MUST** be capable of handling an arbitrary number of levels to ensure forward compatibility.
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The `table_shift` parameter defines how many blocks (or sectors) are represented by each entry, based on the deduplication table level.
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In multi-level tables, this value governs an exponential reduction in scope per level.
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At each level—except the final—the table entry functions as an address to the next-level table.
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The range of LBAs covered by each entry is calculated as:
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For example:
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[cols="1,2",options="header"]
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|===
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| Level
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| Sectors per Entry
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| 1
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| (2 << table_shift)^2 = 262144
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| 2
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| 2 << table_shift = 512
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| 3
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| 1
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|===
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Tables with more than two levels are rare, but implementations should be resilient enough to handle unexpected depths gracefully.
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===== Entry Format Across Levels
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In non-terminal levels (i.e., all except the last), each entry contains:
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- Relevant metadata flags for its sector range
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- An offset pointing to the next deduplication level
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To obtain the byte offset in the image file, multiply this offset by `2 << block_alignment_shift`.
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In the last level, the `data_shift` is applied as follows to determine the specific item within a data block:
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.Example calculation
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[source]
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range = entry_index * (1 << shift)^(levels - 1)
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----
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Given:
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- Entry value = 0x35006
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- data_shift = 5
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- block_alignment_shift = 9
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_For example_, with a `shift` value of 9 and two levels:
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- Entry `0` spans LBAs `0–511`
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- Entry `1` spans LBAs `512–1023`
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Step 1: Mask and shift
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0x35006 >> 5 = 0x1A80
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With three levels:
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- Entry `0` at level 0 spans LBAs `0–262143`
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- Entry `0` at level 1 within that region spans LBAs `0–511`, and so on recursively.
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Step 2: Compute byte offset
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0x1A80 * (2 << 9) = 0x6A0000
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===== Resolution Example
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Step 3: Determine item index
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0x35006 & 0x1F = 6
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To locate sector `1012` using a two-level table with `shift = 9` and `alignment = 9`:
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1. **Level 0**:
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- Sector `1012` falls within entry `1` (covers `512–1023`)
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- Entry `1` contains the value `0x12000`
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- Multiply by `alignment` → `0x12000 * 9 = 0x225000 = 37,748,736`
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- Read the next-level table at byte offset `37,748,736`, marked with the identifier `DDTS`
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2. **Level 1**:
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- The relevant entry is `500` (`1012 - 512 = 500`)
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- Entry `500` contains `0x35006`
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- Right-shift `0x35006 >> 9 = 0x6A = 106`
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- Multiply by `alignment`: `106 * 9 = 954`
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- Sector resides at byte offset `217,088` and is the 6th item in the block (`0x35006 & 0x1FF = 6`)
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Result:
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Sector is stored at byte offset 0x6A0000 as item number 6 in the data block.
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----
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===== Deduplication table flags
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