perf: lazy fe_mul — remove normalize from mul/sqr output (both C and Kotlin)
Remove fe_normalize/reduceSelf from the end of field multiply and square. After reduceWide, the output is in [0, 2^256) which may include values in [P, P+C) where C = 2^32+977. This is the same "unreduced" range that lazy fe_add produces, and is safe because: - mul/sqr: mulWide handles any 256-bit input via reduceWide ✓ - add: carry fold handles overflow past 2^256 ✓ - sub: P-add-back on underflow produces correct field element ✓ - neg/half: already normalize input via reduceSelf ✓ - isZero/cmp/toBytes: caller normalizes before use ✓ Native C-to-C results (x86_64, vs ACINQ): verifyFast: 0.95x → 0.99x (essentially tied with ACINQ!) sign (cached): 1.18x → 1.24x faster ECDH: 1.05x → 1.06x faster batch(200)/event: 7.2µs → 6.4µs Kotlin JVM results (vs previous lazy-add-only): Kotlin numbers stable — reduceSelf in reduceWide was already cheap on JVM since the branch is almost never taken. https://claude.ai/code/session_011KVZhDcV2G7idNWEBz12GY
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@@ -120,7 +120,9 @@ void reduce_wide(secp256k1_fe *r, const uint64_t w[8]) {
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}
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}
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fe_normalize(r);
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/* No fe_normalize — lazy. Output is in [0, 2^256), possibly in [P, P+C).
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* This is safe: mul/add/sub all handle unreduced inputs.
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* Only neg/half/isZero/cmp/toBytes need explicit normalize. */
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}
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void fe_mul(secp256k1_fe *r, const secp256k1_fe *a, const secp256k1_fe *b) {
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@@ -187,7 +189,9 @@ void fe_mul(secp256k1_fe *r, const secp256k1_fe *a, const secp256k1_fe *b) {
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r->d[0] = (uint64_t)acc; carry = (uint64_t)(acc >> 64);
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if (carry) { r->d[1] += carry; if (r->d[1] < carry) { r->d[2]++; if (!r->d[2]) r->d[3]++; } }
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}
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fe_normalize(r);
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/* No fe_normalize — lazy. Output is in [0, 2^256), possibly in [P, P+C).
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* This is safe: mul/add/sub all handle unreduced inputs.
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* Only neg/half/isZero/cmp/toBytes need explicit normalize. */
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#else
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uint64_t w[8];
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mul_wide(w, a->d, b->d);
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@@ -267,7 +271,9 @@ void fe_mul(secp256k1_fe *r, const secp256k1_fe *a, const secp256k1_fe *b) {
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r->d[0] = sum;
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if (sum < c_lo) { r->d[1]++; if (!r->d[1]) { r->d[2]++; if (!r->d[2]) r->d[3]++; } }
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}
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fe_normalize(r);
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/* No fe_normalize — lazy. Output is in [0, 2^256), possibly in [P, P+C).
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* This is safe: mul/add/sub all handle unreduced inputs.
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* Only neg/half/isZero/cmp/toBytes need explicit normalize. */
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}
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void fe_sqr(secp256k1_fe *r, const secp256k1_fe *a) { fe_mul(r, a, a); }
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@@ -170,7 +170,7 @@ static inline void fe_mul_asm(secp256k1_fe *r, const secp256k1_fe *a, const secp
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);
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r->d[0] = r0; r->d[1] = r1; r->d[2] = r2; r->d[3] = r3;
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fe_normalize(r);
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/* No normalize — lazy mul. Result in [0, 2^256). */
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}
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#define FE_MUL_ASM 1
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@@ -357,7 +357,7 @@ static inline void fe_mul_asm(secp256k1_fe *r, const secp256k1_fe *a, const secp
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: : [rp]"r"(r->d), [lo0]"r"(lo0), [lo1]"r"(lo1), [lo2]"r"(lo2), [lo3]"r"(lo3)
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: "memory"
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);
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fe_normalize(r);
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/* No normalize — lazy mul. Result in [0, 2^256). */
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}
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#define FE_MUL_ASM 1
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