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Relax fqmul output bound to 5/4*Q #1131

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Relax fqmul output bound to 5/4*Q #1131

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26 changes: 13 additions & 13 deletions dev/aarch64_clean/src/arith_native_aarch64.h
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Original file line number Diff line number Diff line change
Expand Up @@ -67,6 +67,7 @@ void mld_ntt_aarch64_asm(int32_t *r, const int32_t *zetas_l123456,
* in proofs/hol_light/aarch64/proofs/ntt_aarch64_asm.ml */
__contract__(
requires(memory_no_alias(r, sizeof(int32_t) * MLDSA_N))
/* check-magic: 8380417 == MLDSA_Q */
requires(array_abs_bound(r, 0, MLDSA_N, 8380417))
requires(zetas_l123456 == mld_aarch64_ntt_zetas_layer123456)
requires(zetas_l78 == mld_aarch64_ntt_zetas_layer78)
Expand Down Expand Up @@ -261,12 +262,14 @@ void mld_poly_pointwise_montgomery_aarch64_asm(int32_t *a, const int32_t *b)
__contract__(
requires(memory_no_alias(a, sizeof(int32_t) * MLDSA_N))
requires(memory_no_alias(b, sizeof(int32_t) * MLDSA_N))
/* check-magic: off */
requires(array_abs_bound(a, 0, MLDSA_N, 75423753))
requires(array_abs_bound(b, 0, MLDSA_N, 75423753))
/* Input bound MLD_NTT_BOUND = 9 * MLD_FQMUL_BOUND, the post-condition of
* the forward NTT. Hardcoded here to keep this header free of poly.h.
* Must be kept in sync with the HOL-Light precondition. */
/* check-magic: 94279698 == 9 * ((5 * MLDSA_Q + 3) / 4) */
requires(array_abs_bound(a, 0, MLDSA_N, 94279698))
requires(array_abs_bound(b, 0, MLDSA_N, 94279698))
assigns(memory_slice(a, sizeof(int32_t) * MLDSA_N))
ensures(array_abs_bound(a, 0, MLDSA_N, 8380417))
/* check-magic: on */
);
#endif /* !MLD_CONFIG_NO_SIGN_API || !MLD_CONFIG_NO_VERIFY_API || \
MLD_CONFIG_REDUCE_RAM || MLD_UNIT_TEST */
Expand All @@ -283,12 +286,11 @@ __contract__(
requires(memory_no_alias(r, sizeof(int32_t) * MLDSA_N))
requires(memory_no_alias(a, sizeof(int32_t) * 4 * MLDSA_N))
requires(memory_no_alias(b, sizeof(int32_t) * 4 * MLDSA_N))
/* check-magic: off */
requires(forall(l0, 0, 4, array_abs_bound(a[l0], 0, MLDSA_N, 8380417)))
requires(forall(l1, 0, 4, array_abs_bound(b[l1], 0, MLDSA_N, 75423753)))
/* check-magic: 94279698 == 9 * ((5 * MLDSA_Q + 3) / 4) */
requires(forall(l1, 0, 4, array_abs_bound(b[l1], 0, MLDSA_N, 94279698)))
assigns(memory_slice(r, sizeof(int32_t) * MLDSA_N))
ensures(array_abs_bound(r, 0, MLDSA_N, 8380417))
/* check-magic: on */
);

#define mld_polyvecl_pointwise_acc_montgomery_l5_aarch64_asm \
Expand All @@ -303,12 +305,11 @@ __contract__(
requires(memory_no_alias(r, sizeof(int32_t) * MLDSA_N))
requires(memory_no_alias(a, sizeof(int32_t) * 5 * MLDSA_N))
requires(memory_no_alias(b, sizeof(int32_t) * 5 * MLDSA_N))
/* check-magic: off */
requires(forall(l0, 0, 5, array_abs_bound(a[l0], 0, MLDSA_N, 8380417)))
requires(forall(l1, 0, 5, array_abs_bound(b[l1], 0, MLDSA_N, 75423753)))
/* check-magic: 94279698 == 9 * ((5 * MLDSA_Q + 3) / 4) */
requires(forall(l1, 0, 5, array_abs_bound(b[l1], 0, MLDSA_N, 94279698)))
assigns(memory_slice(r, sizeof(int32_t) * MLDSA_N))
ensures(array_abs_bound(r, 0, MLDSA_N, 8380417))
/* check-magic: on */
);

#define mld_polyvecl_pointwise_acc_montgomery_l7_aarch64_asm \
Expand All @@ -323,12 +324,11 @@ __contract__(
requires(memory_no_alias(r, sizeof(int32_t) * MLDSA_N))
requires(memory_no_alias(a, sizeof(int32_t) * 7 * MLDSA_N))
requires(memory_no_alias(b, sizeof(int32_t) * 7 * MLDSA_N))
/* check-magic: off */
requires(forall(l0, 0, 7, array_abs_bound(a[l0], 0, MLDSA_N, 8380417)))
requires(forall(l1, 0, 7, array_abs_bound(b[l1], 0, MLDSA_N, 75423753)))
/* check-magic: 94279698 == 9 * ((5 * MLDSA_Q + 3) / 4) */
requires(forall(l1, 0, 7, array_abs_bound(b[l1], 0, MLDSA_N, 94279698)))
assigns(memory_slice(r, sizeof(int32_t) * MLDSA_N))
ensures(array_abs_bound(r, 0, MLDSA_N, 8380417))
/* check-magic: on */
);

#endif /* !MLD_NATIVE_AARCH64_SRC_ARITH_NATIVE_AARCH64_H */
26 changes: 13 additions & 13 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 @@ -67,6 +67,7 @@ void mld_ntt_aarch64_asm(int32_t *r, const int32_t *zetas_l123456,
* in proofs/hol_light/aarch64/proofs/ntt_aarch64_asm.ml */
__contract__(
requires(memory_no_alias(r, sizeof(int32_t) * MLDSA_N))
/* check-magic: 8380417 == MLDSA_Q */
requires(array_abs_bound(r, 0, MLDSA_N, 8380417))
requires(zetas_l123456 == mld_aarch64_ntt_zetas_layer123456)
requires(zetas_l78 == mld_aarch64_ntt_zetas_layer78)
Expand Down Expand Up @@ -261,12 +262,14 @@ void mld_poly_pointwise_montgomery_aarch64_asm(int32_t *a, const int32_t *b)
__contract__(
requires(memory_no_alias(a, sizeof(int32_t) * MLDSA_N))
requires(memory_no_alias(b, sizeof(int32_t) * MLDSA_N))
/* check-magic: off */
requires(array_abs_bound(a, 0, MLDSA_N, 75423753))
requires(array_abs_bound(b, 0, MLDSA_N, 75423753))
/* Input bound MLD_NTT_BOUND = 9 * MLD_FQMUL_BOUND, the post-condition of
* the forward NTT. Hardcoded here to keep this header free of poly.h.
* Must be kept in sync with the HOL-Light precondition. */
/* check-magic: 94279698 == 9 * ((5 * MLDSA_Q + 3) / 4) */
requires(array_abs_bound(a, 0, MLDSA_N, 94279698))
requires(array_abs_bound(b, 0, MLDSA_N, 94279698))
assigns(memory_slice(a, sizeof(int32_t) * MLDSA_N))
ensures(array_abs_bound(a, 0, MLDSA_N, 8380417))
/* check-magic: on */
);
#endif /* !MLD_CONFIG_NO_SIGN_API || !MLD_CONFIG_NO_VERIFY_API || \
MLD_CONFIG_REDUCE_RAM || MLD_UNIT_TEST */
Expand All @@ -283,12 +286,11 @@ __contract__(
requires(memory_no_alias(r, sizeof(int32_t) * MLDSA_N))
requires(memory_no_alias(a, sizeof(int32_t) * 4 * MLDSA_N))
requires(memory_no_alias(b, sizeof(int32_t) * 4 * MLDSA_N))
/* check-magic: off */
requires(forall(l0, 0, 4, array_abs_bound(a[l0], 0, MLDSA_N, 8380417)))
requires(forall(l1, 0, 4, array_abs_bound(b[l1], 0, MLDSA_N, 75423753)))
/* check-magic: 94279698 == 9 * ((5 * MLDSA_Q + 3) / 4) */
requires(forall(l1, 0, 4, array_abs_bound(b[l1], 0, MLDSA_N, 94279698)))
assigns(memory_slice(r, sizeof(int32_t) * MLDSA_N))
ensures(array_abs_bound(r, 0, MLDSA_N, 8380417))
/* check-magic: on */
);

#define mld_polyvecl_pointwise_acc_montgomery_l5_aarch64_asm \
Expand All @@ -303,12 +305,11 @@ __contract__(
requires(memory_no_alias(r, sizeof(int32_t) * MLDSA_N))
requires(memory_no_alias(a, sizeof(int32_t) * 5 * MLDSA_N))
requires(memory_no_alias(b, sizeof(int32_t) * 5 * MLDSA_N))
/* check-magic: off */
requires(forall(l0, 0, 5, array_abs_bound(a[l0], 0, MLDSA_N, 8380417)))
requires(forall(l1, 0, 5, array_abs_bound(b[l1], 0, MLDSA_N, 75423753)))
/* check-magic: 94279698 == 9 * ((5 * MLDSA_Q + 3) / 4) */
requires(forall(l1, 0, 5, array_abs_bound(b[l1], 0, MLDSA_N, 94279698)))
assigns(memory_slice(r, sizeof(int32_t) * MLDSA_N))
ensures(array_abs_bound(r, 0, MLDSA_N, 8380417))
/* check-magic: on */
);

#define mld_polyvecl_pointwise_acc_montgomery_l7_aarch64_asm \
Expand All @@ -323,12 +324,11 @@ __contract__(
requires(memory_no_alias(r, sizeof(int32_t) * MLDSA_N))
requires(memory_no_alias(a, sizeof(int32_t) * 7 * MLDSA_N))
requires(memory_no_alias(b, sizeof(int32_t) * 7 * MLDSA_N))
/* check-magic: off */
requires(forall(l0, 0, 7, array_abs_bound(a[l0], 0, MLDSA_N, 8380417)))
requires(forall(l1, 0, 7, array_abs_bound(b[l1], 0, MLDSA_N, 75423753)))
/* check-magic: 94279698 == 9 * ((5 * MLDSA_Q + 3) / 4) */
requires(forall(l1, 0, 7, array_abs_bound(b[l1], 0, MLDSA_N, 94279698)))
assigns(memory_slice(r, sizeof(int32_t) * MLDSA_N))
ensures(array_abs_bound(r, 0, MLDSA_N, 8380417))
/* check-magic: on */
);

#endif /* !MLD_NATIVE_AARCH64_SRC_ARITH_NATIVE_AARCH64_H */
26 changes: 13 additions & 13 deletions dev/x86_64/src/arith_native_x86_64.h
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Original file line number Diff line number Diff line change
Expand Up @@ -37,6 +37,7 @@ void mld_ntt_avx2_asm(int32_t *r, const int32_t *qdata)
* in proofs/hol_light/x86_64/proofs/ntt_avx2_asm.ml */
__contract__(
requires(memory_no_alias(r, sizeof(int32_t) * MLDSA_N))
/* check-magic: 8380417 == MLDSA_Q */
requires(array_abs_bound(r, 0, MLDSA_N, 8380417))
requires(qdata == mld_qdata)
assigns(memory_slice(r, sizeof(int32_t) * MLDSA_N))
Expand Down Expand Up @@ -136,13 +137,15 @@ void mld_pointwise_avx2_asm(int32_t *a, const int32_t *b, const int32_t *qdata)
__contract__(
requires(memory_no_alias(a, sizeof(int32_t) * MLDSA_N))
requires(memory_no_alias(b, sizeof(int32_t) * MLDSA_N))
/* check-magic: off */
requires(array_abs_bound(a, 0, MLDSA_N, 75423753))
requires(array_abs_bound(b, 0, MLDSA_N, 75423753))
/* Input bound MLD_NTT_BOUND = 9 * MLD_FQMUL_BOUND, the post-condition of
* the forward NTT. Hardcoded here to keep this header free of poly.h.
* Must be kept in sync with the HOL-Light precondition. */
/* check-magic: 94279698 == 9 * ((5 * MLDSA_Q + 3) / 4) */
requires(array_abs_bound(a, 0, MLDSA_N, 94279698))
requires(array_abs_bound(b, 0, MLDSA_N, 94279698))
requires(qdata == mld_qdata)
assigns(memory_slice(a, sizeof(int32_t) * MLDSA_N))
ensures(array_abs_bound(a, 0, MLDSA_N, 8380417))
/* check-magic: on */
);

#define mld_pointwise_acc_l4_avx2_asm MLD_NAMESPACE(pointwise_acc_l4_avx2_asm)
Expand All @@ -156,13 +159,12 @@ __contract__(
requires(memory_no_alias(c, sizeof(int32_t) * MLDSA_N))
requires(memory_no_alias(a, sizeof(int32_t) * 4 * MLDSA_N))
requires(memory_no_alias(b, sizeof(int32_t) * 4 * MLDSA_N))
/* check-magic: off */
requires(forall(l0, 0, 4, array_abs_bound(a[l0], 0, MLDSA_N, 8380417)))
requires(forall(l1, 0, 4, array_abs_bound(b[l1], 0, MLDSA_N, 75423753)))
/* check-magic: 94279698 == 9 * ((5 * MLDSA_Q + 3) / 4) */
requires(forall(l1, 0, 4, array_abs_bound(b[l1], 0, MLDSA_N, 94279698)))
requires(qdata == mld_qdata)
assigns(memory_slice(c, sizeof(int32_t) * MLDSA_N))
ensures(array_abs_bound(c, 0, MLDSA_N, 8380417))
/* check-magic: on */
);

#define mld_pointwise_acc_l5_avx2_asm MLD_NAMESPACE(pointwise_acc_l5_avx2_asm)
Expand All @@ -176,13 +178,12 @@ __contract__(
requires(memory_no_alias(c, sizeof(int32_t) * MLDSA_N))
requires(memory_no_alias(a, sizeof(int32_t) * 5 * MLDSA_N))
requires(memory_no_alias(b, sizeof(int32_t) * 5 * MLDSA_N))
/* check-magic: off */
requires(forall(l0, 0, 5, array_abs_bound(a[l0], 0, MLDSA_N, 8380417)))
requires(forall(l1, 0, 5, array_abs_bound(b[l1], 0, MLDSA_N, 75423753)))
/* check-magic: 94279698 == 9 * ((5 * MLDSA_Q + 3) / 4) */
requires(forall(l1, 0, 5, array_abs_bound(b[l1], 0, MLDSA_N, 94279698)))
requires(qdata == mld_qdata)
assigns(memory_slice(c, sizeof(int32_t) * MLDSA_N))
ensures(array_abs_bound(c, 0, MLDSA_N, 8380417))
/* check-magic: on */
);

#define mld_pointwise_acc_l7_avx2_asm MLD_NAMESPACE(pointwise_acc_l7_avx2_asm)
Expand All @@ -196,13 +197,12 @@ __contract__(
requires(memory_no_alias(c, sizeof(int32_t) * MLDSA_N))
requires(memory_no_alias(a, sizeof(int32_t) * 7 * MLDSA_N))
requires(memory_no_alias(b, sizeof(int32_t) * 7 * MLDSA_N))
/* check-magic: off */
requires(forall(l0, 0, 7, array_abs_bound(a[l0], 0, MLDSA_N, 8380417)))
requires(forall(l1, 0, 7, array_abs_bound(b[l1], 0, MLDSA_N, 75423753)))
/* check-magic: 94279698 == 9 * ((5 * MLDSA_Q + 3) / 4) */
requires(forall(l1, 0, 7, array_abs_bound(b[l1], 0, MLDSA_N, 94279698)))
requires(qdata == mld_qdata)
assigns(memory_slice(c, sizeof(int32_t) * MLDSA_N))
ensures(array_abs_bound(c, 0, MLDSA_N, 8380417))
/* check-magic: on */
);

#endif /* !MLD_NATIVE_X86_64_SRC_ARITH_NATIVE_X86_64_H */
2 changes: 2 additions & 0 deletions mldsa/mldsa_native.c
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Original file line number Diff line number Diff line change
Expand Up @@ -442,6 +442,7 @@
#undef mld_debug_check_assert
#undef mld_debug_check_bounds
/* mldsa/src/poly.h */
#undef MLD_FQMUL_BOUND
#undef MLD_INTT_BOUND
#undef MLD_NTT_BOUND
#undef MLD_POLY_H
Expand Down Expand Up @@ -652,6 +653,7 @@
#endif /* MLD_CONFIG_USE_NATIVE_BACKEND_FIPS202 */
#if defined(MLD_CONFIG_USE_NATIVE_BACKEND_ARITH)
/* mldsa/src/native/api.h */
#undef MLD_FQMUL_BOUND
#undef MLD_INTT_BOUND
#undef MLD_NATIVE_API_H
#undef MLD_NATIVE_FUNC_FALLBACK
Expand Down
2 changes: 2 additions & 0 deletions mldsa/mldsa_native_asm.S
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Expand Up @@ -449,6 +449,7 @@
#undef mld_debug_check_assert
#undef mld_debug_check_bounds
/* mldsa/src/poly.h */
#undef MLD_FQMUL_BOUND
#undef MLD_INTT_BOUND
#undef MLD_NTT_BOUND
#undef MLD_POLY_H
Expand Down Expand Up @@ -659,6 +660,7 @@
#endif /* MLD_CONFIG_USE_NATIVE_BACKEND_FIPS202 */
#if defined(MLD_CONFIG_USE_NATIVE_BACKEND_ARITH)
/* mldsa/src/native/api.h */
#undef MLD_FQMUL_BOUND
#undef MLD_INTT_BOUND
#undef MLD_NATIVE_API_H
#undef MLD_NATIVE_FUNC_FALLBACK
Expand Down
26 changes: 13 additions & 13 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 @@ -67,6 +67,7 @@ void mld_ntt_aarch64_asm(int32_t *r, const int32_t *zetas_l123456,
* in proofs/hol_light/aarch64/proofs/ntt_aarch64_asm.ml */
__contract__(
requires(memory_no_alias(r, sizeof(int32_t) * MLDSA_N))
/* check-magic: 8380417 == MLDSA_Q */
requires(array_abs_bound(r, 0, MLDSA_N, 8380417))
requires(zetas_l123456 == mld_aarch64_ntt_zetas_layer123456)
requires(zetas_l78 == mld_aarch64_ntt_zetas_layer78)
Expand Down Expand Up @@ -261,12 +262,14 @@ void mld_poly_pointwise_montgomery_aarch64_asm(int32_t *a, const int32_t *b)
__contract__(
requires(memory_no_alias(a, sizeof(int32_t) * MLDSA_N))
requires(memory_no_alias(b, sizeof(int32_t) * MLDSA_N))
/* check-magic: off */
requires(array_abs_bound(a, 0, MLDSA_N, 75423753))
requires(array_abs_bound(b, 0, MLDSA_N, 75423753))
/* Input bound MLD_NTT_BOUND = 9 * MLD_FQMUL_BOUND, the post-condition of
* the forward NTT. Hardcoded here to keep this header free of poly.h.
* Must be kept in sync with the HOL-Light precondition. */
/* check-magic: 94279698 == 9 * ((5 * MLDSA_Q + 3) / 4) */
requires(array_abs_bound(a, 0, MLDSA_N, 94279698))
requires(array_abs_bound(b, 0, MLDSA_N, 94279698))
assigns(memory_slice(a, sizeof(int32_t) * MLDSA_N))
ensures(array_abs_bound(a, 0, MLDSA_N, 8380417))
/* check-magic: on */
);
#endif /* !MLD_CONFIG_NO_SIGN_API || !MLD_CONFIG_NO_VERIFY_API || \
MLD_CONFIG_REDUCE_RAM || MLD_UNIT_TEST */
Expand All @@ -283,12 +286,11 @@ __contract__(
requires(memory_no_alias(r, sizeof(int32_t) * MLDSA_N))
requires(memory_no_alias(a, sizeof(int32_t) * 4 * MLDSA_N))
requires(memory_no_alias(b, sizeof(int32_t) * 4 * MLDSA_N))
/* check-magic: off */
requires(forall(l0, 0, 4, array_abs_bound(a[l0], 0, MLDSA_N, 8380417)))
requires(forall(l1, 0, 4, array_abs_bound(b[l1], 0, MLDSA_N, 75423753)))
/* check-magic: 94279698 == 9 * ((5 * MLDSA_Q + 3) / 4) */
requires(forall(l1, 0, 4, array_abs_bound(b[l1], 0, MLDSA_N, 94279698)))
assigns(memory_slice(r, sizeof(int32_t) * MLDSA_N))
ensures(array_abs_bound(r, 0, MLDSA_N, 8380417))
/* check-magic: on */
);

#define mld_polyvecl_pointwise_acc_montgomery_l5_aarch64_asm \
Expand All @@ -303,12 +305,11 @@ __contract__(
requires(memory_no_alias(r, sizeof(int32_t) * MLDSA_N))
requires(memory_no_alias(a, sizeof(int32_t) * 5 * MLDSA_N))
requires(memory_no_alias(b, sizeof(int32_t) * 5 * MLDSA_N))
/* check-magic: off */
requires(forall(l0, 0, 5, array_abs_bound(a[l0], 0, MLDSA_N, 8380417)))
requires(forall(l1, 0, 5, array_abs_bound(b[l1], 0, MLDSA_N, 75423753)))
/* check-magic: 94279698 == 9 * ((5 * MLDSA_Q + 3) / 4) */
requires(forall(l1, 0, 5, array_abs_bound(b[l1], 0, MLDSA_N, 94279698)))
assigns(memory_slice(r, sizeof(int32_t) * MLDSA_N))
ensures(array_abs_bound(r, 0, MLDSA_N, 8380417))
/* check-magic: on */
);

#define mld_polyvecl_pointwise_acc_montgomery_l7_aarch64_asm \
Expand All @@ -323,12 +324,11 @@ __contract__(
requires(memory_no_alias(r, sizeof(int32_t) * MLDSA_N))
requires(memory_no_alias(a, sizeof(int32_t) * 7 * MLDSA_N))
requires(memory_no_alias(b, sizeof(int32_t) * 7 * MLDSA_N))
/* check-magic: off */
requires(forall(l0, 0, 7, array_abs_bound(a[l0], 0, MLDSA_N, 8380417)))
requires(forall(l1, 0, 7, array_abs_bound(b[l1], 0, MLDSA_N, 75423753)))
/* check-magic: 94279698 == 9 * ((5 * MLDSA_Q + 3) / 4) */
requires(forall(l1, 0, 7, array_abs_bound(b[l1], 0, MLDSA_N, 94279698)))
assigns(memory_slice(r, sizeof(int32_t) * MLDSA_N))
ensures(array_abs_bound(r, 0, MLDSA_N, 8380417))
/* check-magic: on */
);

#endif /* !MLD_NATIVE_AARCH64_SRC_ARITH_NATIVE_AARCH64_H */
8 changes: 7 additions & 1 deletion mldsa/src/native/api.h
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Original file line number Diff line number Diff line change
Expand Up @@ -37,11 +37,17 @@
*/
#define MLD_NATIVE_FUNC_FALLBACK (-1)

/* Absolute exclusive upper bound for the output of fqmul.
*
* NOTE: This is the same bound as in poly.h and has to be kept
* in sync. */
#define MLD_FQMUL_BOUND ((5 * MLDSA_Q + 3) / 4)

/* Bound on absolute value of coefficients after NTT.
*
* NOTE: This is the same bound as in poly.h and has to be kept
* in sync. */
#define MLD_NTT_BOUND (9 * MLDSA_Q)
#define MLD_NTT_BOUND (9 * MLD_FQMUL_BOUND)

/* Absolute exclusive upper bound for the output of the inverse NTT
*
Expand Down
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