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REFERENCE / ZLIB × LEAN

get_crc_table

Return the library's byte-at-a-time CRC table.

Full chapter and shared rules ↗
Source snapshot · 57ad356e10ec68ee · Source at the matching commit ↗

Read the function’s preconditions and results first. Expand the shared rules below for buffer and ownership requirements used throughout this API group.

const z_crc_t FAR * ZEXPORT get_crc_table(void);

Return the library's byte-at-a-time CRC table.

Domain Full type domain; there are no arguments. Effects: pure computation returning a pointer to library memory; it does not read the entries.

Pre The library's fixed CRC tables are present, as in the selected build. No setup call is required.

Post Return a non-NULL pointer to a read-only array of 256 z_crc_t entries. Entry i is the reflected CRC register update for byte i, starting with register zero and without the public checksum complements. Repeated calls return the same pointer.

Effects Preserve all memory and ownership. The library retains the table; it lives for the program's lifetime. The caller may read the 256 entries, and must neither write through the pointer nor free it.

zlib.h places this among functions outside the documented API. It exposes only the byte table, not adjacent or braided tables. z_crc_t is unsigned 32-bit here. Dynamic table generation is outside this build's scope.

Shared conditions and scope

API manual · Contract conventions · Buffer utilities

Compute a checksum a buffer at a time, or combine the checksums of independently processed byte sequences without rereading them. The byte sequences A and B below are ordinary data; the contracts use the Adler-32 or CRC-32 of those sequences.

Task Entries
Update Adler-32 Size-type length, 32-bit length
Combine Adler-32 Ordinary offset, explicit 64-bit offset
Update CRC-32 Size-type length, 32-bit length
Combine CRC-32 Ordinary offset, explicit 64-bit offset
Reuse a CRC combination operator Generate, generate with 64-bit length, apply
Inspect the byte table get_crc_table

These focused contracts follow adler32.c, crc32.c and zlib.h in the default LP64 Linux static build, with the pinned source and listed patches. Source readings are to confirm by proof. No checksum entry writes state, allocates, frees or performs I/O. Exceptional numeric results are ordinary values, rather than error codes. Domain and effects remain independent as explained in contract conventions.

The practical checksum contracts use actual byte sequences A and B. Each checksum is computed independently, starting at 1 for Adler-32 or 0 for CRC-32. These contracts deliberately omit functional promises for forged checksums. The Lean targets also describe arbitrary seeds and exact scalar results. Both the Adler entries and their Lean targets require zero length for NULL initialization queries. See scope deviations and public goals.

In this build, uLong and z_size_t are unsigned 64-bit types; uInt is unsigned 32-bit. z_off_t and z_off64_t are signed 64-bit. Input checksum bits above bit 31 are ignored; returned checksums fit in 32 bits. The explicit *64 declarations depend on the header's large-file feature macros.

Formal contract

ZlibF.Spec.Public.Goal.get_crc_table

Proof status: Registered proof · Evidence and remaining work

/-- `const z_crc_t *get_crc_table(void)`.
The returned table is static and read-only, has 256 entries given by the reflected CRC
recurrence, and leaves every heap observation unchanged. -/
def Goal.get_crc_table : Prop :=
  ∀ h : Heap, CrcGlobals h → ∃ pointer table,
    C.run Zlib.Crc32.get_crc_table h = .ok (pointer, h) ∧
    pointer = .ref .st_crc_table 0 ∧ Space.get h URef.st_crc_table = some table ∧
    Space.ro h URef.st_crc_table = true ∧ table.size = 256 ∧
    ∀ i : Fin 256, table[i.val]? = some (ZlibF.Spec.crcByte 0 (UInt8.ofNat i.val))
Related definitions and source ↗
ZLIB × LEAN

Global contents

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