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Replace eight independent s64, u64, s32, u32 min/max fields in
bpf_reg_state with two circular number fields:
- cnum64 for a unified signed/unsigned 64-bit range tracking;
- cnum32 for a unified signed/unsigned 32-bit range tracking.
Each cnum represents a range as a single arc on the circular number
line (base + size), from which signed and unsigned bounds are derived
on demand via accessor functions introduced in the preceding commit.
Notable changes:
- Signed<->unsigned deductions in __reg_deduce_bounds() are removed.
- 64<->32 bit deductions are replaced with:
- reg->r32 = cnum32_intersect(reg->r32, cnum32_from_cnum64(reg->r64));
this is functionally equivalent to the old code.
- reg->r64 = cnum64_cnum32_intersect(reg->r64, reg->r32);
this handles a few additional cases, see commit message for
"bpf: representation and basic operations on circular numbers".
- regs_refine_cond_op() now computes results in terms of operations on
sets, e.g. for JNE:
/* Complement of the range [val, val] as cnum64. */
lo = (struct cnum64){ val + 1, U64_MAX - 1 };
reg1->r64 = cnum64_intersect(reg1->r64, lo);
- For add, sub operations on scalars replace explicit bounds
computations with cnum{32,64}_{add,negate}.
- For add, sub operations on pointers deduplicate with arithmetic
operations on scalars and use cnum{32,64}_{add,negate}.
- For and, or, xor operations on scalars remove explicit signed bounds
computations.
- range_bounds_violation() reduces to checking cnum_is_empty().
- const_tnum_range_mismatch() reduces to checking cnum_is_const().
Selftest adjustments: a few existing tests are updated because a
single cnum arc cannot always represent what the old system expressed
as the intersection of independent signed and unsigned ranges.
For example, if the old system tracked u64=[0, U64_MAX-U32_MAX+2] and
s64=[S64_MIN+2, 2] independently, their intersection is a tight
two-point set. A single cnum must pick the shorter arc, losing the
other constraint. These cases are documented with comments in the
adjusted tests.
reg_bounds.c is updated with logic similar to
cnum64_cnum32_intersect(). Instead of using cnums it inspects
intersection between 'b' and first / last / next-after-first /
previous-before-last sub-ranges of 'a'.
reg_bounds.c is also updated to skip test cases that rely
in signed and unsigned ranges intersecting in two intervals,
as such cases are not representable by a single cnum.
The following "crafted" test cases are affected:
- reg_bounds_crafted/(s64)[0xffffffffffff8000; 0x7fff] (u32)<op> [0; 0x1f]
- reg_bounds_crafted/(s64)[0; 0x1f] (u32)<op> [0xffffffffffffff80; 0x7f]
- reg_bounds_crafted/(s64)[0xffffffffffffff80; 0x7f] (u32)<op> [0; 0x1f]
- reg_bounds_crafted/(u64)[0; 1] (s32)<op> [1; 2147483648]
- reg_bounds_crafted/(u64)[1; 2147483648] (s32)<op> [0; 1]
- reg_bounds_crafted/(u64)[0; 0xffffffff00000000] (s64)<op> 0
- reg_bounds_crafted/(u64)0 (s64)<op> [0; 0xffffffff00000000]
- reg_bounds_crafted/(u64)[0; 0xffffffff00000000] (s32)<op> 0
- reg_bounds_crafted/(u64)0 (s32)<op> [0; 0xffffffff00000000]
- reg_bounds_crafted/(s64)[S64_MIN; 0] (u64)<op> S64_MIN
- reg_bounds_crafted/(s64)S64_MIN (u64)<op> [S64_MIN; 0]
- reg_bounds_crafted/(s32)[S32_MIN; 0] (u32)<op> S32_MIN
- reg_bounds_crafted/(s32)S32_MIN (u32)<op> [S32_MIN; 0]
- reg_bounds_crafted/(s64)[0; 0x1f] (u32)<op> [0xffffffff80000000; 0x7fffffff]
- reg_bounds_crafted/(s64)[0xffffffff80000000; 0x7fffffff] (u32)<op> [0; 0x1f]
- reg_bounds_crafted/(s64)[0; 0x1f] (u32)<op> [0xffffffffffff8000; 0x7fff]
As well as some reg_bounds_roand_{consts,ranges}_A_B, where A and B
differ in sign domain.
Signed-off-by: Eduard Zingerman <eddyz87@gmail.com>
Link: https://lore.kernel.org/r/20260424-cnums-everywhere-rfc-v1-v3-3-ca434b39a486@gmail.com
Signed-off-by: Alexei Starovoitov <ast@kernel.org>
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