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HOL-Light: Add AArch64 poly_decompose_{32,88} correctness proofs #977

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HOL-Light: Add AArch64 poly_decompose_{32,88} correctness proofs #977

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ed7f60b
Add HOL Light proof for aarch64 poly_chknorm
mkannwischer Jan 19, 2026
3455d19
Add CBMC proof for aarch64 poly_chknorm_native
mkannwischer Feb 4, 2026
19b7cdd
HOL-Light/AArch64: Refactoring of poly_chknorm proof
hanno-becker Feb 13, 2026
9325a9c
HOL-Light: Add HOL Light proof for aarch64 polyz_unpack_{17,19}
mkannwischer Feb 14, 2026
08650e1
CBMC: Add CBMC proof for aarch64 polyz_unpack
mkannwischer Feb 14, 2026
4b2cfd2
HOL-Light: Derive ival bounds as corollary in SUBROUTINE_CORRECT
mkannwischer Feb 23, 2026
ea5f669
HOL-Light: Add AArch64 poly_decompose_{32,88} correctness proofs
mkannwischer Feb 27, 2026
ec4b9ff
CBMC/AArch64: Add contracts and proof poly_decompose asm functions
mkannwischer Feb 27, 2026
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12 changes: 12 additions & 0 deletions .github/workflows/hol_light.yml
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Original file line number Diff line number Diff line change
Expand Up @@ -12,6 +12,7 @@ on:
- 'proofs/hol_light/aarch64/Makefile'
- 'proofs/hol_light/aarch64/**/*.S'
- 'proofs/hol_light/aarch64/**/*.ml'
- 'proofs/hol_light/common/**/*.ml'
- 'proofs/hol_light/x86_64/Makefile'
- 'proofs/hol_light/x86_64/**/*.S'
- 'proofs/hol_light/x86_64/**/*.ml'
Expand All @@ -26,6 +27,7 @@ on:
- 'proofs/hol_light/aarch64/Makefile'
- 'proofs/hol_light/aarch64/**/*.S'
- 'proofs/hol_light/aarch64/**/*.ml'
- 'proofs/hol_light/common/**/*.ml'
- 'proofs/hol_light/x86_64/Makefile'
- 'proofs/hol_light/x86_64/**/*.S'
- 'proofs/hol_light/x86_64/**/*.ml'
Expand Down Expand Up @@ -81,6 +83,16 @@ jobs:
# Dependencies on {name}.{S,ml} are implicit
- name: mldsa_poly_caddq
needs: ["aarch64_utils.ml"]
- name: mldsa_poly_chknorm
needs: ["aarch64_utils.ml"]
- name: mldsa_polyz_unpack_17
needs: ["aarch64_utils.ml", "mldsa_polyz_unpack_consts.ml", "mldsa_specs.ml"]
- name: mldsa_polyz_unpack_19
needs: ["aarch64_utils.ml", "mldsa_polyz_unpack_consts.ml", "mldsa_specs.ml"]
- name: mldsa_poly_decompose_32
needs: ["aarch64_utils.ml", "mldsa_specs.ml"]
- name: mldsa_poly_decompose_88
needs: ["aarch64_utils.ml", "mldsa_specs.ml"]
name: AArch64 HOL Light proof for ${{ matrix.proof.name }}.S
runs-on: pqcp-arm64
if: github.repository_owner == 'pq-code-package' && !github.event.pull_request.head.repo.fork
Expand Down
63 changes: 58 additions & 5 deletions dev/aarch64_clean/src/arith_native_aarch64.h
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Expand Up @@ -71,10 +71,36 @@ uint64_t mld_rej_uniform_eta4_asm(int32_t *r, const uint8_t *buf,
unsigned buflen, const uint8_t *table);

#define mld_poly_decompose_32_asm MLD_NAMESPACE(poly_decompose_32_asm)
void mld_poly_decompose_32_asm(int32_t *a1, int32_t *a0);
void mld_poly_decompose_32_asm(int32_t *a1, int32_t *a0)
/* This must be kept in sync with the HOL-Light specification
* in proofs/hol_light/aarch64/proofs/mldsa_poly_decompose_32.ml */
__contract__(
requires(memory_no_alias(a1, sizeof(int32_t) * MLDSA_N))
requires(memory_no_alias(a0, sizeof(int32_t) * MLDSA_N))
requires(array_bound(a0, 0, MLDSA_N, 0, MLDSA_Q))
assigns(memory_slice(a1, sizeof(int32_t) * MLDSA_N))
assigns(memory_slice(a0, sizeof(int32_t) * MLDSA_N))
/* check-magic: 16 == (MLDSA_Q - 1) / (2 * ((MLDSA_Q - 1) / 32)) */
ensures(array_bound(a1, 0, MLDSA_N, 0, 16))
/* check-magic: 261889 == (MLDSA_Q - 1) / 32 + 1 */
ensures(array_abs_bound(a0, 0, MLDSA_N, 261889))
);

#define mld_poly_decompose_88_asm MLD_NAMESPACE(poly_decompose_88_asm)
void mld_poly_decompose_88_asm(int32_t *a1, int32_t *a0);
void mld_poly_decompose_88_asm(int32_t *a1, int32_t *a0)
/* This must be kept in sync with the HOL-Light specification
* in proofs/hol_light/aarch64/proofs/mldsa_poly_decompose_88.ml */
__contract__(
requires(memory_no_alias(a1, sizeof(int32_t) * MLDSA_N))
requires(memory_no_alias(a0, sizeof(int32_t) * MLDSA_N))
requires(array_bound(a0, 0, MLDSA_N, 0, MLDSA_Q))
assigns(memory_slice(a1, sizeof(int32_t) * MLDSA_N))
assigns(memory_slice(a0, sizeof(int32_t) * MLDSA_N))
/* check-magic: 44 == (MLDSA_Q - 1) / (2 * ((MLDSA_Q - 1) / 88)) */
ensures(array_bound(a1, 0, MLDSA_N, 0, 44))
/* check-magic: 95233 == (MLDSA_Q - 1) / 88 + 1 */
ensures(array_abs_bound(a0, 0, MLDSA_N, 95233))
);

#define mld_poly_caddq_asm MLD_NAMESPACE(poly_caddq_asm)
void mld_poly_caddq_asm(int32_t *a)
Expand All @@ -95,15 +121,42 @@ void mld_poly_use_hint_88_asm(int32_t *b, const int32_t *a, const int32_t *h);

#define mld_poly_chknorm_asm MLD_NAMESPACE(poly_chknorm_asm)
MLD_MUST_CHECK_RETURN_VALUE
int mld_poly_chknorm_asm(const int32_t *a, int32_t B);
int mld_poly_chknorm_asm(const int32_t *a, int32_t B)
/* This must be kept in sync with the HOL-Light specification
* in proofs/hol_light/aarch64/proofs/mldsa_poly_chknorm.ml */
__contract__(
requires(memory_no_alias(a, sizeof(int32_t) * MLDSA_N))
/* HOL Light precondition: abs(ival(x i)) < 2^31, i.e., a[i] != INT32_MIN */
requires(forall(k0, 0, MLDSA_N, a[k0] > INT32_MIN))
ensures(return_value == 0 || return_value == 1)
ensures((return_value == 0) == array_abs_bound(a, 0, MLDSA_N, B))
);

#define mld_polyz_unpack_17_asm MLD_NAMESPACE(polyz_unpack_17_asm)
void mld_polyz_unpack_17_asm(int32_t *r, const uint8_t *buf,
const uint8_t *indices);
const uint8_t *indices)
/* This must be kept in sync with the HOL-Light specification
* in proofs/hol_light/aarch64/proofs/mldsa_polyz_unpack_17.ml */
__contract__(
requires(memory_no_alias(r, sizeof(int32_t) * MLDSA_N))
requires(memory_no_alias(buf, 576))
requires(indices == mld_polyz_unpack_17_indices)
assigns(memory_slice(r, sizeof(int32_t) * MLDSA_N))
ensures(array_bound(r, 0, MLDSA_N, -((1 << 17) - 1), (1 << 17) + 1))
);

#define mld_polyz_unpack_19_asm MLD_NAMESPACE(polyz_unpack_19_asm)
void mld_polyz_unpack_19_asm(int32_t *r, const uint8_t *buf,
const uint8_t *indices);
const uint8_t *indices)
/* This must be kept in sync with the HOL-Light specification
* in proofs/hol_light/aarch64/proofs/mldsa_polyz_unpack_19.ml */
__contract__(
requires(memory_no_alias(r, sizeof(int32_t) * MLDSA_N))
requires(memory_no_alias(buf, 640))
requires(indices == mld_polyz_unpack_19_indices)
assigns(memory_slice(r, sizeof(int32_t) * MLDSA_N))
ensures(array_bound(r, 0, MLDSA_N, -((1 << 19) - 1), (1 << 19) + 1))
);

#define mld_poly_pointwise_montgomery_asm \
MLD_NAMESPACE(poly_pointwise_montgomery_asm)
Expand Down
63 changes: 58 additions & 5 deletions dev/aarch64_opt/src/arith_native_aarch64.h
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Original file line number Diff line number Diff line change
Expand Up @@ -71,10 +71,36 @@ uint64_t mld_rej_uniform_eta4_asm(int32_t *r, const uint8_t *buf,
unsigned buflen, const uint8_t *table);

#define mld_poly_decompose_32_asm MLD_NAMESPACE(poly_decompose_32_asm)
void mld_poly_decompose_32_asm(int32_t *a1, int32_t *a0);
void mld_poly_decompose_32_asm(int32_t *a1, int32_t *a0)
/* This must be kept in sync with the HOL-Light specification
* in proofs/hol_light/aarch64/proofs/mldsa_poly_decompose_32.ml */
__contract__(
requires(memory_no_alias(a1, sizeof(int32_t) * MLDSA_N))
requires(memory_no_alias(a0, sizeof(int32_t) * MLDSA_N))
requires(array_bound(a0, 0, MLDSA_N, 0, MLDSA_Q))
assigns(memory_slice(a1, sizeof(int32_t) * MLDSA_N))
assigns(memory_slice(a0, sizeof(int32_t) * MLDSA_N))
/* check-magic: 16 == (MLDSA_Q - 1) / (2 * ((MLDSA_Q - 1) / 32)) */
ensures(array_bound(a1, 0, MLDSA_N, 0, 16))
/* check-magic: 261889 == (MLDSA_Q - 1) / 32 + 1 */
ensures(array_abs_bound(a0, 0, MLDSA_N, 261889))
);

#define mld_poly_decompose_88_asm MLD_NAMESPACE(poly_decompose_88_asm)
void mld_poly_decompose_88_asm(int32_t *a1, int32_t *a0);
void mld_poly_decompose_88_asm(int32_t *a1, int32_t *a0)
/* This must be kept in sync with the HOL-Light specification
* in proofs/hol_light/aarch64/proofs/mldsa_poly_decompose_88.ml */
__contract__(
requires(memory_no_alias(a1, sizeof(int32_t) * MLDSA_N))
requires(memory_no_alias(a0, sizeof(int32_t) * MLDSA_N))
requires(array_bound(a0, 0, MLDSA_N, 0, MLDSA_Q))
assigns(memory_slice(a1, sizeof(int32_t) * MLDSA_N))
assigns(memory_slice(a0, sizeof(int32_t) * MLDSA_N))
/* check-magic: 44 == (MLDSA_Q - 1) / (2 * ((MLDSA_Q - 1) / 88)) */
ensures(array_bound(a1, 0, MLDSA_N, 0, 44))
/* check-magic: 95233 == (MLDSA_Q - 1) / 88 + 1 */
ensures(array_abs_bound(a0, 0, MLDSA_N, 95233))
);

#define mld_poly_caddq_asm MLD_NAMESPACE(poly_caddq_asm)
void mld_poly_caddq_asm(int32_t *a)
Expand All @@ -95,15 +121,42 @@ void mld_poly_use_hint_88_asm(int32_t *b, const int32_t *a, const int32_t *h);

#define mld_poly_chknorm_asm MLD_NAMESPACE(poly_chknorm_asm)
MLD_MUST_CHECK_RETURN_VALUE
int mld_poly_chknorm_asm(const int32_t *a, int32_t B);
int mld_poly_chknorm_asm(const int32_t *a, int32_t B)
/* This must be kept in sync with the HOL-Light specification
* in proofs/hol_light/aarch64/proofs/mldsa_poly_chknorm.ml */
__contract__(
requires(memory_no_alias(a, sizeof(int32_t) * MLDSA_N))
/* HOL Light precondition: abs(ival(x i)) < 2^31, i.e., a[i] != INT32_MIN */
requires(forall(k0, 0, MLDSA_N, a[k0] > INT32_MIN))
ensures(return_value == 0 || return_value == 1)
ensures((return_value == 0) == array_abs_bound(a, 0, MLDSA_N, B))
);

#define mld_polyz_unpack_17_asm MLD_NAMESPACE(polyz_unpack_17_asm)
void mld_polyz_unpack_17_asm(int32_t *r, const uint8_t *buf,
const uint8_t *indices);
const uint8_t *indices)
/* This must be kept in sync with the HOL-Light specification
* in proofs/hol_light/aarch64/proofs/mldsa_polyz_unpack_17.ml */
__contract__(
requires(memory_no_alias(r, sizeof(int32_t) * MLDSA_N))
requires(memory_no_alias(buf, 576))
requires(indices == mld_polyz_unpack_17_indices)
assigns(memory_slice(r, sizeof(int32_t) * MLDSA_N))
ensures(array_bound(r, 0, MLDSA_N, -((1 << 17) - 1), (1 << 17) + 1))
);

#define mld_polyz_unpack_19_asm MLD_NAMESPACE(polyz_unpack_19_asm)
void mld_polyz_unpack_19_asm(int32_t *r, const uint8_t *buf,
const uint8_t *indices);
const uint8_t *indices)
/* This must be kept in sync with the HOL-Light specification
* in proofs/hol_light/aarch64/proofs/mldsa_polyz_unpack_19.ml */
__contract__(
requires(memory_no_alias(r, sizeof(int32_t) * MLDSA_N))
requires(memory_no_alias(buf, 640))
requires(indices == mld_polyz_unpack_19_indices)
assigns(memory_slice(r, sizeof(int32_t) * MLDSA_N))
ensures(array_bound(r, 0, MLDSA_N, -((1 << 19) - 1), (1 << 19) + 1))
);

#define mld_poly_pointwise_montgomery_asm \
MLD_NAMESPACE(poly_pointwise_montgomery_asm)
Expand Down
2 changes: 1 addition & 1 deletion dev/aarch64_opt/src/poly_chknorm_asm.S
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Expand Up @@ -30,7 +30,7 @@ MLD_ASM_FN_SYMBOL(poly_chknorm_asm)
// Load constants
dup bound.4s, B

movi flags.4s, 0
eor flags.16b, flags.16b, flags.16b

mov count, #(64/4)

Expand Down
63 changes: 58 additions & 5 deletions mldsa/src/native/aarch64/src/arith_native_aarch64.h
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Original file line number Diff line number Diff line change
Expand Up @@ -71,10 +71,36 @@ uint64_t mld_rej_uniform_eta4_asm(int32_t *r, const uint8_t *buf,
unsigned buflen, const uint8_t *table);

#define mld_poly_decompose_32_asm MLD_NAMESPACE(poly_decompose_32_asm)
void mld_poly_decompose_32_asm(int32_t *a1, int32_t *a0);
void mld_poly_decompose_32_asm(int32_t *a1, int32_t *a0)
/* This must be kept in sync with the HOL-Light specification
* in proofs/hol_light/aarch64/proofs/mldsa_poly_decompose_32.ml */
__contract__(
requires(memory_no_alias(a1, sizeof(int32_t) * MLDSA_N))
requires(memory_no_alias(a0, sizeof(int32_t) * MLDSA_N))
requires(array_bound(a0, 0, MLDSA_N, 0, MLDSA_Q))
assigns(memory_slice(a1, sizeof(int32_t) * MLDSA_N))
assigns(memory_slice(a0, sizeof(int32_t) * MLDSA_N))
/* check-magic: 16 == (MLDSA_Q - 1) / (2 * ((MLDSA_Q - 1) / 32)) */
ensures(array_bound(a1, 0, MLDSA_N, 0, 16))
/* check-magic: 261889 == (MLDSA_Q - 1) / 32 + 1 */
ensures(array_abs_bound(a0, 0, MLDSA_N, 261889))
);

#define mld_poly_decompose_88_asm MLD_NAMESPACE(poly_decompose_88_asm)
void mld_poly_decompose_88_asm(int32_t *a1, int32_t *a0);
void mld_poly_decompose_88_asm(int32_t *a1, int32_t *a0)
/* This must be kept in sync with the HOL-Light specification
* in proofs/hol_light/aarch64/proofs/mldsa_poly_decompose_88.ml */
__contract__(
requires(memory_no_alias(a1, sizeof(int32_t) * MLDSA_N))
requires(memory_no_alias(a0, sizeof(int32_t) * MLDSA_N))
requires(array_bound(a0, 0, MLDSA_N, 0, MLDSA_Q))
assigns(memory_slice(a1, sizeof(int32_t) * MLDSA_N))
assigns(memory_slice(a0, sizeof(int32_t) * MLDSA_N))
/* check-magic: 44 == (MLDSA_Q - 1) / (2 * ((MLDSA_Q - 1) / 88)) */
ensures(array_bound(a1, 0, MLDSA_N, 0, 44))
/* check-magic: 95233 == (MLDSA_Q - 1) / 88 + 1 */
ensures(array_abs_bound(a0, 0, MLDSA_N, 95233))
);

#define mld_poly_caddq_asm MLD_NAMESPACE(poly_caddq_asm)
void mld_poly_caddq_asm(int32_t *a)
Expand All @@ -95,15 +121,42 @@ void mld_poly_use_hint_88_asm(int32_t *b, const int32_t *a, const int32_t *h);

#define mld_poly_chknorm_asm MLD_NAMESPACE(poly_chknorm_asm)
MLD_MUST_CHECK_RETURN_VALUE
int mld_poly_chknorm_asm(const int32_t *a, int32_t B);
int mld_poly_chknorm_asm(const int32_t *a, int32_t B)
/* This must be kept in sync with the HOL-Light specification
* in proofs/hol_light/aarch64/proofs/mldsa_poly_chknorm.ml */
__contract__(
requires(memory_no_alias(a, sizeof(int32_t) * MLDSA_N))
/* HOL Light precondition: abs(ival(x i)) < 2^31, i.e., a[i] != INT32_MIN */
requires(forall(k0, 0, MLDSA_N, a[k0] > INT32_MIN))
ensures(return_value == 0 || return_value == 1)
ensures((return_value == 0) == array_abs_bound(a, 0, MLDSA_N, B))
);

#define mld_polyz_unpack_17_asm MLD_NAMESPACE(polyz_unpack_17_asm)
void mld_polyz_unpack_17_asm(int32_t *r, const uint8_t *buf,
const uint8_t *indices);
const uint8_t *indices)
/* This must be kept in sync with the HOL-Light specification
* in proofs/hol_light/aarch64/proofs/mldsa_polyz_unpack_17.ml */
__contract__(
requires(memory_no_alias(r, sizeof(int32_t) * MLDSA_N))
requires(memory_no_alias(buf, 576))
requires(indices == mld_polyz_unpack_17_indices)
assigns(memory_slice(r, sizeof(int32_t) * MLDSA_N))
ensures(array_bound(r, 0, MLDSA_N, -((1 << 17) - 1), (1 << 17) + 1))
);

#define mld_polyz_unpack_19_asm MLD_NAMESPACE(polyz_unpack_19_asm)
void mld_polyz_unpack_19_asm(int32_t *r, const uint8_t *buf,
const uint8_t *indices);
const uint8_t *indices)
/* This must be kept in sync with the HOL-Light specification
* in proofs/hol_light/aarch64/proofs/mldsa_polyz_unpack_19.ml */
__contract__(
requires(memory_no_alias(r, sizeof(int32_t) * MLDSA_N))
requires(memory_no_alias(buf, 640))
requires(indices == mld_polyz_unpack_19_indices)
assigns(memory_slice(r, sizeof(int32_t) * MLDSA_N))
ensures(array_bound(r, 0, MLDSA_N, -((1 << 19) - 1), (1 << 19) + 1))
);

#define mld_poly_pointwise_montgomery_asm \
MLD_NAMESPACE(poly_pointwise_montgomery_asm)
Expand Down
2 changes: 1 addition & 1 deletion mldsa/src/native/aarch64/src/poly_chknorm_asm.S
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Original file line number Diff line number Diff line change
Expand Up @@ -22,7 +22,7 @@ MLD_ASM_FN_SYMBOL(poly_chknorm_asm)

.cfi_startproc
dup v20.4s, w1
movi v21.4s, #0x0
eor v21.16b, v21.16b, v21.16b
mov x2, #0x10 // =16

Lpoly_chknorm_loop:
Expand Down
2 changes: 1 addition & 1 deletion mldsa/src/native/api.h
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Expand Up @@ -440,7 +440,7 @@ __contract__(
requires(memory_no_alias(a, sizeof(int32_t) * MLDSA_N))
requires(0 <= B && B <= MLDSA_Q - REDUCE32_RANGE_MAX)
requires(array_bound(a, 0, MLDSA_N, -REDUCE32_RANGE_MAX, REDUCE32_RANGE_MAX))
ensures(return_value == MLD_NATIVE_FUNC_FALLBACK || return_value == MLD_NATIVE_FUNC_SUCCESS)
ensures(return_value == MLD_NATIVE_FUNC_FALLBACK || return_value == 0 || return_value == 1)
ensures((return_value == 0) == array_abs_bound(a, 0, MLDSA_N, B))
);
#endif /* MLD_USE_NATIVE_POLY_CHKNORM */
Expand Down
2 changes: 1 addition & 1 deletion mldsa/src/poly.c
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Expand Up @@ -956,7 +956,7 @@ uint32_t mld_poly_chknorm(const mld_poly *a, int32_t B)
if (success)
{
/* Convert 0 / 1 to 0 / 0xFFFFFFFF here */
return 0U - (uint32_t)ret;
return mld_ct_cmask_nonzero_u32((uint32_t)ret);
}
#endif /* MLD_USE_NATIVE_POLY_CHKNORM */
return mld_poly_chknorm_c(a, B);
Expand Down
6 changes: 3 additions & 3 deletions nix/s2n_bignum/default.nix
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Expand Up @@ -4,12 +4,12 @@
{ stdenv, fetchFromGitHub, writeText, ... }:
stdenv.mkDerivation rec {
pname = "s2n_bignum";
version = "113a146ab49c19281388881b3650b63a6a67e8dc";
version = "f9ebd40af24087c503ecaca008be22edd166afab";
src = fetchFromGitHub {
owner = "awslabs";
owner = "mkannwischer";
repo = "s2n-bignum";
rev = "${version}";
hash = "sha256-Ub+Nrlo8DEmz3H5SdgcH9iLbNJnZmLvGk3dGgWar2kY=";
hash = "sha256-gXwGRS4TLFESnSbLRiFyMKqCiBA0hCIQibWzuDfpLeM=";
};
setupHook = writeText "setup-hook.sh" ''
export S2N_BIGNUM_DIR="$1"
Expand Down
1 change: 1 addition & 0 deletions proofs/cbmc/poly_chknorm_native/Makefile
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Expand Up @@ -22,6 +22,7 @@ PROJECT_SOURCES += $(SRCDIR)/mldsa/src/poly.c
CHECK_FUNCTION_CONTRACTS=mld_poly_chknorm
USE_FUNCTION_CONTRACTS=mld_poly_chknorm_native
USE_FUNCTION_CONTRACTS+=mld_poly_chknorm_c
USE_FUNCTION_CONTRACTS+=mld_ct_cmask_nonzero_u32
APPLY_LOOP_CONTRACTS=on
USE_DYNAMIC_FRAMES=1

Expand Down
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