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REFERENCE / ZLIB × LEAN

adler32_combine64

Compute the Adler-32 of A followed by B with an explicit 64-bit length.

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

uLong ZEXPORT adler32_combine64(uLong adler1, uLong adler2, z_off64_t len2);

Compute the Adler-32 of A followed by B with an explicit 64-bit length.

Domain Restricted domain. Effects: pure computation.

Pre For the concatenation result, the low 32 bits of adler1 and adler2 are the independently computed Adler-32 checksums of A and B, and len2 is the length of B. Negative lengths are included for rejection.

Post Return 0xFFFFFFFF for a negative length. Otherwise return the Adler-32 of A followed by B. Empty B leaves A's checksum unchanged.

Effects Preserve all memory and ownership. Read no buffers or stream state.

This has the same contract and length range as adler32_combine in LP64. The explicit width matters on other builds; this page does not cover them.

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.adler32_combine64

Proof status: Registered proof · Evidence and remaining work

/-- `uLong adler32_combine64(uLong adler1, uLong adler2, z_off64_t len2)`.
The LP64 64-bit-length entry has the same complete public combine contract. -/
def Goal.adler32_combine64 : Prop := AdlerCombine Zlib.Adler32.adler32_combine64
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ZLIB × LEAN

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