From 106349d6eb418035fb24c902a9ddedc55efce672 Mon Sep 17 00:00:00 2001 From: mleku Date: Sun, 2 Nov 2025 03:33:02 +0000 Subject: [PATCH] cleanup --- FOUR_PHASES_SUMMARY.md | 375 --------------------------- VERIFICATION_PERFORMANCE_ANALYSIS.md | 184 ------------- VERIFY_OPTIMIZATION_ANALYSIS.md | 107 -------- mem.prof | Bin 717 -> 0 bytes p256k1.mleku.dev.test | Bin 4630867 -> 0 bytes 5 files changed, 666 deletions(-) delete mode 100644 FOUR_PHASES_SUMMARY.md delete mode 100644 VERIFICATION_PERFORMANCE_ANALYSIS.md delete mode 100644 VERIFY_OPTIMIZATION_ANALYSIS.md delete mode 100644 mem.prof delete mode 100755 p256k1.mleku.dev.test diff --git a/FOUR_PHASES_SUMMARY.md b/FOUR_PHASES_SUMMARY.md deleted file mode 100644 index ad600b7..0000000 --- a/FOUR_PHASES_SUMMARY.md +++ /dev/null @@ -1,375 +0,0 @@ -# Four-Phase Implementation Plan - secp256k1 Go Port - -## Overview - -This document outlines the complete four-phase implementation plan for porting the secp256k1 cryptographic library from C to Go. The implementation follows the C reference implementation exactly, ensuring mathematical correctness and compatibility. - ---- - -## Phase 1: Core Infrastructure & Mathematical Primitives ✅ - -### Status: **100% Complete** (25/25 tests passing) - -### Objectives -Establish the mathematical foundation and core infrastructure for all cryptographic operations. - -### Completed Components - -#### 1. **Field Element Operations** ✅ -- **File**: `field.go`, `field_mul.go`, `field_test.go` -- **Status**: 100% complete (9/9 tests passing) -- **Key Features**: - - Field arithmetic (addition, subtraction, multiplication, squaring) - - Field normalization and reduction - - Field inverse computation (Fermat's little theorem) - - Field square root computation - - 512-bit to 256-bit modular reduction (matches C reference exactly) - - Constant-time operations where required - - Secure memory clearing - -#### 2. **Scalar Operations** ✅ -- **File**: `scalar.go`, `scalar_test.go` -- **Status**: 100% complete (11/11 tests passing) -- **Key Features**: - - Scalar arithmetic (addition, subtraction, multiplication) - - Scalar modular inverse - - Scalar exponentiation - - Scalar halving - - 512-bit to 256-bit modular reduction (three-stage reduction from C) - - Private key validation - - Constant-time conditional operations - -#### 3. **Context Management** ✅ -- **File**: `context.go`, `context_test.go` -- **Status**: 100% complete (5/5 tests passing) -- **Key Features**: - - Context creation with capability flags (signing/verification) - - Context destruction and cleanup - - Context randomization for side-channel protection - - Static verification-only context - - Capability checking - -#### 4. **Group Operations** ✅ -- **File**: `group.go`, `group_test.go` -- **Status**: 100% complete (4/4 tests passing) -- **Key Features**: - - `GroupElementAffine` and `GroupElementJacobian` types - - Affine coordinate operations (complete) - - Jacobian coordinate operations (optimized) - - Point doubling (`double`) - C reference implementation - - Point addition in Jacobian coordinates (`addVar`) - C reference implementation (~78x faster) - - Point addition with affine input (`addGE`) - C reference implementation (optimized) - - Coordinate conversion (affine ↔ Jacobian) - - Generator point initialization - - Storage format conversion - - Field element `normalizesToZeroVar` helper for efficient point comparison - -#### 5. **Public Key Operations** ✅ -- **File**: `pubkey.go`, `pubkey_test.go` -- **Status**: 100% complete (4/4 tests passing) -- **Key Features**: - - `PublicKey` type with 64-byte internal representation - - Public key parsing (compressed/uncompressed) - - Public key serialization - - Public key comparison (working) - - Public key creation from private key (scalar multiplication working) - -#### 6. **Generator Multiplication** ✅ -- **File**: `ecmult_gen.go` -- **Status**: Infrastructure complete -- **Key Features**: - - `EcmultGenContext` for precomputed tables - - `EcmultGen` function for `n * G` computation - - Binary method implementation (ready for optimization) - -### Remaining Issues - -None - Phase 1 is complete! ✅ - -### Test Coverage -- **Total Tests**: 25 test functions -- **Passing**: 25 tests ✅ -- **Failing**: 0 tests ✅ -- **Success Rate**: 100% - -### Files Created -``` -├── context.go ✅ Context management (COMPLETE) -├── context_test.go ✅ Context tests (ALL PASSING) -├── field.go ✅ Field arithmetic (COMPLETE) -├── field_mul.go ✅ Field multiplication/operations (COMPLETE) -├── field_test.go ✅ Field tests (ALL PASSING) -├── scalar.go ✅ Scalar arithmetic (COMPLETE) -├── scalar_test.go ✅ Scalar tests (ALL PASSING) -├── group.go ✅ Group operations (COMPLETE) -├── group_test.go ✅ Group tests (ALL PASSING) -├── ecmult_gen.go ✅ Generator multiplication (INFRASTRUCTURE) -├── pubkey.go ✅ Public key operations (COMPLETE) -└── pubkey_test.go ✅ Public key tests (ALL PASSING) -``` - ---- - -## Phase 2: ECDSA Signatures & Hash Functions ✅ - -### Status: **100% Complete** - -### Objectives -Implement ECDSA signature creation and verification, along with cryptographic hash functions. - -### Planned Components - -#### 1. **Hash Functions** ✅ -- **Files**: `hash.go`, `hash_test.go` -- **Status**: 100% complete -- **Key Features**: - - SHA-256 implementation (using sha256-simd) - - Tagged SHA-256 (BIP-340 style) - - RFC6979 nonce generation (deterministic signing) - - HMAC-SHA256 implementation - - Hash-to-field element conversion - - Hash-to-scalar conversion - - Message hashing utilities - -#### 2. **ECDSA Signatures** ✅ -- **Files**: `ecdsa.go`, `ecdsa_test.go` -- **Status**: 100% complete -- **Key Features**: - - `ECDSASign` - Create signatures from message hash and private key - - `ECDSAVerify` - Verify signatures against message hash and public key - - Compact signature format (64-byte) - - Signature normalization (low-S) - - RFC6979 deterministic nonce generation - -#### 3. **Private Key Operations** ✅ -- **Files**: `eckey.go`, `eckey_test.go` -- **Status**: 100% complete -- **Key Features**: - - Private key generation (`ECSeckeyGenerate`) - - Private key validation (`ECSeckeyVerify`) - - Private key negation (`ECSeckeyNegate`) - - Key pair generation (`ECKeyPairGenerate`) - - Key tweaking (add/multiply) for BIP32-style derivation - - Public key tweaking (add/multiply) - -#### 4. **Benchmarks** -- **Files**: `ecdsa_bench_test.go`, `BENCHMARK_RESULTS.md` -- **Features**: - - Signing performance benchmarks ✅ - - Verification performance benchmarks ✅ - - Hash function benchmarks ✅ - - Key generation benchmarks ✅ - - Comparison with C implementation ✅ - - Memory usage profiling ✅ - - Comprehensive benchmark results document ✅ - -### Dependencies -- ✅ Phase 1: Field arithmetic, scalar arithmetic, group operations -- ✅ Point doubling algorithm working correctly -- ✅ Scalar multiplication working correctly - -### Success Criteria -- [x] All ECDSA signing tests pass ✅ -- [x] All ECDSA verification tests pass ✅ -- [x] Hash functions match reference implementation ✅ -- [x] RFC6979 nonce generation produces correct results ✅ -- [x] Performance benchmarks implemented and documented ✅ - - Signing: ~5ms/op (2-3x slower than C, acceptable for production) - - Verification: ~10ms/op (2-3x slower than C, zero allocations) - - Full benchmark suite: 17 benchmarks covering all operations - ---- - -## Phase 3: ECDH Key Exchange ✅ - -### Status: **100% Complete** - -### Objectives -Implement Elliptic Curve Diffie-Hellman key exchange for secure key derivation. - -### Completed Components - -#### 1. **ECDH Operations** ✅ -- **Files**: `ecdh.go`, `ecdh_test.go` -- **Status**: 100% complete -- **Key Features**: - - `ECDH` - Compute shared secret from private key and public key ✅ - - `ECDHWithHKDF` - ECDH with HKDF key derivation ✅ - - `ECDHXOnly` - X-only ECDH (BIP-340 style) ✅ - - Custom hash function support ✅ - - Secure memory clearing ✅ - -#### 2. **Advanced Point Multiplication** ✅ -- **Files**: `ecdh.go` (includes EcmultConst and Ecmult) -- **Status**: 100% complete -- **Key Features**: - - `EcmultConst` - Constant-time multiplication for arbitrary points ✅ - - `Ecmult` - Variable-time optimized multiplication ✅ - - Binary method implementation (ready for further optimization) ✅ - -#### 3. **HKDF Support** ✅ -- **Files**: `ecdh.go` -- **Status**: 100% complete -- **Key Features**: - - `HKDF` - HMAC-based Key Derivation Function (RFC 5869) ✅ - - Extract and Expand phases ✅ - - Supports arbitrary output length ✅ - - Secure memory clearing ✅ - -### Dependencies -- ✅ Phase 1: Group operations, scalar multiplication -- ✅ Phase 2: Hash functions (for HKDF) - -### Success Criteria -- [x] ECDH computes correct shared secrets ✅ -- [x] X-only ECDH matches reference implementation ✅ -- [x] HKDF key derivation works correctly ✅ -- [x] All ECDH tests pass ✅ - ---- - -## Phase 4: Schnorr Signatures & Advanced Features ✅ - -### Status: **100% Complete** - -### Objectives -Implement BIP-340 Schnorr signatures and advanced cryptographic features. - -### Completed Components - -#### 1. **Schnorr Signatures** ✅ -- **Files**: `schnorr.go`, `schnorr_test.go` -- **Status**: 100% complete -- **Key Features**: - - `SchnorrSign` - Create BIP-340 compliant signatures ✅ - - `SchnorrVerify` - Verify BIP-340 signatures ✅ - - `NonceFunctionBIP340` - BIP-340 nonce generation ✅ - - Tagged hash support (BIP-340 style) ✅ - - Auxiliary randomness support ✅ - - Secure memory clearing ✅ - -#### 2. **Extended Public Keys** ✅ -- **Files**: `extrakeys.go`, `extrakeys_test.go` -- **Status**: 100% complete -- **Key Features**: - - `XOnlyPubkey` type (32-byte X coordinate) ✅ - - `KeyPair` type for Schnorr signatures ✅ - - `XOnlyPubkeyParse` - Parse x-only public keys ✅ - - `XOnlyPubkeyFromPubkey` - Convert full pubkey to x-only ✅ - - `XOnlyPubkeyCmp` - Compare x-only public keys ✅ - - `KeyPairCreate` - Create keypair from secret key ✅ - - `KeyPairGenerate` - Generate random keypair ✅ - - Public key parity extraction ✅ - -### Dependencies -- ✅ Phase 1: Complete core infrastructure -- ✅ Phase 2: Hash functions (TaggedHash already implemented) -- ✅ Phase 3: ECDH, optimized multiplication - -### Success Criteria -- [x] Schnorr signatures match BIP-340 specification ✅ -- [x] All Schnorr signature tests pass ✅ -- [x] X-only public keys work correctly ✅ -- [x] Keypair operations work correctly ✅ -- [x] All Phase 4 tests pass ✅ - ---- - -## Overall Implementation Strategy - -### Principles -1. **Exact C Reference**: Follow C implementation algorithms exactly -2. **Test-Driven**: Write comprehensive tests for each component -3. **Incremental**: Complete each phase before moving to next -4. **Performance**: Optimize where possible without sacrificing correctness -5. **Go Idioms**: Use Go's type system and error handling appropriately - -### Testing Strategy -- **Unit Tests**: Every function has dedicated tests -- **Integration Tests**: End-to-end operation tests -- **Property Tests**: Cryptographic property verification -- **Benchmarks**: Performance measurement and comparison -- **Edge Cases**: Boundary condition testing - -### Code Quality -- **Documentation**: Comprehensive comments matching C reference -- **Type Safety**: Strong typing throughout -- **Error Handling**: Proper error propagation -- **Memory Safety**: Secure memory clearing -- **Constant-Time**: Where required for security - ---- - -## Current Status Summary - -### Phase 1: ✅ 100% Complete -- Field arithmetic: ✅ 100% -- Scalar arithmetic: ✅ 100% -- Context management: ✅ 100% -- Group operations: ✅ 100% (optimized Jacobian addition complete) -- Public key operations: ✅ 100% - -### Phase 2: ✅ 100% Complete -- Hash functions: ✅ 100% -- ECDSA signatures: ✅ 100% -- Private key operations: ✅ 100% -- Key pair generation: ✅ 100% - -### Phase 3: ✅ 100% Complete -- ECDH operations: ✅ 100% -- Point multiplication: ✅ 100% -- HKDF key derivation: ✅ 100% - -### Phase 4: ✅ 100% Complete -- Schnorr signatures: ✅ 100% -- X-only public keys: ✅ 100% -- Keypair operations: ✅ 100% - ---- - -## Next Steps - -### Immediate (Phase 1 Completion) -✅ Phase 1 is complete! All tests passing. - -### Short-term (Phase 2) -✅ Phase 2 is complete! All tests passing. - -### Medium-term (Phase 3) -✅ Phase 3 is complete! All tests passing. - -### Long-term (Phase 4) -✅ Phase 4 is complete! All tests passing. - ---- - -## Files Structure (Complete) - -``` -p256k1.mleku.dev/ -├── go.mod, go.sum -├── Phase 1 (Complete) -│ ├── context.go, context_test.go -│ ├── field.go, field_mul.go, field_test.go -│ ├── scalar.go, scalar_test.go -│ ├── group.go, group_test.go -│ ├── pubkey.go, pubkey_test.go -│ └── ecmult_gen.go -├── Phase 2 (Complete) -│ ├── hash.go, hash_test.go -│ ├── ecdsa.go, ecdsa_test.go -│ ├── eckey.go, eckey_test.go -│ ├── ecdsa_bench_test.go -│ └── BENCHMARK_RESULTS.md -├── Phase 3 (Complete) -│ ├── ecdh.go, ecdh_test.go -│ └── (ecmult functions included in ecdh.go) -└── Phase 4 (Complete) - ├── schnorr.go, schnorr_test.go - └── extrakeys.go, extrakeys_test.go -``` - ---- - -**Last Updated**: Phase 4 implementation complete, 100% test success. All four phases complete! Schnorr signatures, X-only public keys, and keypair operations all working. -**Target**: Complete port of secp256k1 C library to Go with full feature parity diff --git a/VERIFICATION_PERFORMANCE_ANALYSIS.md b/VERIFICATION_PERFORMANCE_ANALYSIS.md deleted file mode 100644 index 4444b46..0000000 --- a/VERIFICATION_PERFORMANCE_ANALYSIS.md +++ /dev/null @@ -1,184 +0,0 @@ -# Verification Performance Analysis: NextP256K vs P256K1 - -## Summary - -NextP256K's verification is **4.7x faster** than p256k1 (40,017 ns/op vs 186,054 ns/op) because it uses libsecp256k1's highly optimized C implementation, while p256k1 uses a simple binary multiplication algorithm. - -## Root Cause - -The performance bottleneck is in `EcmultConst`, which is used to compute `e*P` during Schnorr verification. - -### Schnorr Verification Algorithm - -```186:289:schnorr.go -// SchnorrVerify verifies a Schnorr signature following BIP-340 -func SchnorrVerify(sig64 []byte, msg32 []byte, xonlyPubkey *XOnlyPubkey) bool { - // ... validation ... - - // Compute R = s*G - e*P - // First compute s*G - var sG GroupElementJacobian - EcmultGen(&sG, &s) // Fast: uses optimized precomputed tables - - // Compute e*P where P is the x-only pubkey - var eP GroupElementJacobian - EcmultConst(&eP, &pk, &e) // Slow: uses simple binary method - - // ... rest of verification ... -} -``` - -### Performance Breakdown - -1. **s*G computation** (`EcmultGen`): - - Uses 8-bit byte-based precomputed tables - - Highly optimized: ~58,618 ns/op for pubkey derivation - - Fast because the generator point G is fixed and precomputed - -2. **e*P computation** (`EcmultConst`): - - Uses simple binary method with 256 iterations - - Each iteration: double, check bit, potentially add - - **This is the bottleneck** - -### Current EcmultConst Implementation - -```10:48:ecdh.go -// EcmultConst computes r = q * a using constant-time multiplication -// This is a simplified implementation for Phase 3 - can be optimized later -func EcmultConst(r *GroupElementJacobian, a *GroupElementAffine, q *Scalar) { - // ... edge cases ... - - // Process bits from MSB to LSB - for i := 0; i < 256; i++ { - if i > 0 { - r.double(r) - } - - // Get bit i (from MSB) - bit := q.getBits(uint(255-i), 1) - if bit != 0 { - if r.isInfinity() { - *r = base - } else { - r.addVar(r, &base) - } - } - } -} -``` - -**Problem:** This performs 256 iterations, each requiring: -- One field element doubling operation -- One bit extraction -- Potentially one point addition - -For verification, this means **256 doublings + up to 256 additions** per verification, which is extremely inefficient. - -## Why NextP256K is Faster - -NextP256K uses libsecp256k1's optimized C implementation (`secp256k1_ecmult_const`) which: - -1. **Uses GLV Endomorphism**: - - Splits the scalar into two smaller components using the curve's endomorphism - - Computes two smaller multiplications instead of one large one - - Reduces the effective bit length from 256 to ~128 bits per component - -2. **Windowed Precomputation**: - - Precomputes a table of multiples of the base point - - Uses windowed lookups instead of processing bits one at a time - - Processes multiple bits per iteration (typically 4-6 bits at a time) - -3. **Signed-Digit Multi-Comb Algorithm**: - - Uses a more efficient representation that reduces the number of additions - - Minimizes the number of point operations required - -4. **Assembly Optimizations**: - - Field arithmetic operations are optimized in assembly - - Hand-tuned for specific CPU architectures - -### Reference Implementation - -The C reference shows the complexity: - -```124:268:src/ecmult_const_impl.h -static void secp256k1_ecmult_const(secp256k1_gej *r, const secp256k1_ge *a, const secp256k1_scalar *q) { - /* The approach below combines the signed-digit logic from Mike Hamburg's - * "Fast and compact elliptic-curve cryptography" (https://eprint.iacr.org/2012/309) - * Section 3.3, with the GLV endomorphism. - * ... */ - - /* Precompute table for base point and lambda * base point */ - - /* Process bits in groups using windowed lookups */ - for (group = ECMULT_CONST_GROUPS - 1; group >= 0; --group) { - /* Lookup precomputed points */ - ECMULT_CONST_TABLE_GET_GE(&t, pre_a, bits1); - /* ... */ - } -} -``` - -## Performance Impact - -### Benchmark Results - -| Operation | P256K1 | NextP256K | Speedup | -|-----------|--------|-----------|---------| -| **Verification** | 186,054 ns/op | 40,017 ns/op | **4.7x** | -| Signing | 31,937 ns/op | 52,060 ns/op | 0.6x (slower) | -| Pubkey Derivation | 58,618 ns/op | 280,835 ns/op | 0.2x (slower) | - -**Note:** NextP256K is slower for signing and pubkey derivation due to CGO overhead for smaller operations, but much faster for verification because the computation is more complex. - -## Optimization Opportunities - -To improve p256k1's verification performance, `EcmultConst` should be optimized to: - -1. **Implement GLV Endomorphism**: - - Split scalar using secp256k1's endomorphism - - Compute two smaller multiplications - - Combine results - -2. **Add Windowed Precomputation**: - - Precompute a table of multiples of the base point - - Process bits in groups (windows) instead of individually - - Use lookup tables instead of repeated additions - -3. **Consider Variable-Time Optimization**: - - For verification (public operation), variable-time algorithms are acceptable - - Could use `Ecmult` instead of `EcmultConst` if constant-time isn't required - -4. **Implement Signed-Digit Representation**: - - Use signed-digit multi-comb algorithm - - Reduce the number of additions required - -## Complexity Comparison - -### Current (Simple Binary Method) -- **Operations:** O(256) doublings + O(256) additions (worst case) -- **Complexity:** ~256 point operations - -### Optimized (Windowed + GLV) -- **Operations:** O(64) doublings + O(16) additions (with window size 4) -- **Complexity:** ~80 point operations (4x improvement) - -### With Assembly Optimizations -- **Additional:** 2-3x speedup from optimized field arithmetic -- **Total:** ~10-15x faster than simple binary method - -## Conclusion - -The 4.7x performance difference is primarily due to: -1. **Algorithmic efficiency**: Windowed multiplication vs. simple binary method -2. **GLV endomorphism**: Splitting scalar into smaller components -3. **Assembly optimizations**: Hand-tuned field arithmetic in C -4. **Better memory access patterns**: Precomputed tables vs. repeated computations - -The optimization is non-trivial and would require implementing: -- GLV endomorphism support -- Windowed precomputation tables -- Signed-digit multi-comb algorithm -- Potentially assembly optimizations for field arithmetic - -For now, NextP256K's advantage in verification is expected given its use of the mature, highly optimized libsecp256k1 C library. - diff --git a/VERIFY_OPTIMIZATION_ANALYSIS.md b/VERIFY_OPTIMIZATION_ANALYSIS.md deleted file mode 100644 index 10bd3d8..0000000 --- a/VERIFY_OPTIMIZATION_ANALYSIS.md +++ /dev/null @@ -1,107 +0,0 @@ -# Verify Function Performance Analysis: C vs Go - -## Key Finding: The C Version Uses Strauss-WNAF Algorithm - -The C implementation of `secp256k1_schnorrsig_verify` uses a **highly optimized Strauss-WNAF algorithm** that computes `r = s*G + (-e)*P` in a **single interleaved operation** rather than two separate multiplications. - -## Current Go Implementation (verify.go:692-722) - -```go -func secp256k1_ecmult(r *secp256k1_gej, a *secp256k1_gej, na *secp256k1_scalar, ng *secp256k1_scalar) { - // r = na * a + ng * G - // First compute na * a - var naa GroupElementJacobian - Ecmult(&naa, &geja, &sna) // ~43 iterations (6-bit windows) - - // Then compute ng * G - var ngg GroupElementJacobian - EcmultGen(&ngg, &sng) // ~32 iterations (byte-based) - - // Add them together - gejr.addVar(&naa, &ngg) -} -``` - -**Performance**: ~75 iterations total (43 + 32), plus one addition - -## C Implementation (src/ecmult_impl.h:321-342) - -```c -for (i = bits - 1; i >= 0; i--) { - secp256k1_gej_double_var(r, r, NULL); // ONE doubling per iteration - // Check na*a contribution - if (i < bits_na_1 && (n = wnaf_na_1[i])) { - secp256k1_ecmult_table_get_ge(&tmpa, pre_a, n, WINDOW_A); - secp256k1_gej_add_ge_var(r, r, &tmpa, NULL); - } - // Check ng*G contribution - if (i < bits_ng_1 && (n = wnaf_ng_1[i])) { - secp256k1_ecmult_table_get_ge_storage(&tmpa, secp256k1_pre_g, n, WINDOW_G); - secp256k1_gej_add_zinv_var(r, r, &tmpa, &Z); - } -} -``` - -**Performance**: ~129 iterations total (max bits needed), with interleaved additions - -## Why C is Faster - -### 1. **Interleaved Operations** -- **C**: Processes both scalars bit-by-bit in ONE loop - - Each iteration: double once, then potentially add from either table - - Total: ~129 iterations (the maximum bits needed) - -- **Go**: Computes two separate multiplications - - `na*a`: ~43 iterations (6-bit windows) - - `ng*G`: ~32 iterations (byte-based) - - Total: ~75 iterations PLUS one final addition - -### 2. **GLV Endomorphism Optimization** -The C version uses scalar splitting with lambda endomorphism: -- Splits `na` into `na_1` and `na_lam` (~128 bits each) -- Uses precomputed lambda table for faster operations -- Reduces effective scalar size from 256 bits to ~128 bits - -### 3. **WNAF (Windowed Non-Adjacent Form)** -- Sparse representation: non-zero entries separated by at least (w-1) zeroes -- Reduces number of additions needed -- Uses signed digits: can subtract instead of just add - -### 4. **Precomputed Tables** -- C uses optimized precomputed tables for both `a` and `G` -- Uses isomorphic curve representation for faster affine additions -- Stores points in optimized storage format - -### 5. **Fewer Doublings** -- **C**: ~129 doublings (one per bit position) -- **Go**: ~43 doublings for `na*a` + ~32 doublings for `ng*G` = ~75 doublings -- But C also does fewer additions due to WNAF sparsity - -## Performance Impact - -The C version is ~3-4x faster because: -1. **Single loop**: Processes everything in one pass (~129 iterations vs ~75+1) -2. **Sparse operations**: WNAF reduces additions (maybe 20-30 additions vs 32+) -3. **Optimized tables**: Precomputed tables with isomorphic curve optimization -4. **Better cache locality**: Everything in one loop, better CPU cache usage - -## Recommendation - -To match C performance, implement the Strauss-WNAF algorithm in Go: -1. Implement WNAF conversion for scalars -2. Implement GLV endomorphism scalar splitting -3. Implement interleaved multiplication loop -4. Use precomputed tables with isomorphic curve optimization -5. This will require implementing several missing functions: - - `secp256k1_scalar_split_lambda` - - `secp256k1_scalar_split_128` - - `secp256k1_ecmult_wnaf` - - `secp256k1_ecmult_odd_multiples_table` - - `secp256k1_ge_table_set_globalz` - - `secp256k1_ecmult_table_get_ge` - - `secp256k1_ecmult_table_get_ge_lambda` - - `secp256k1_ecmult_table_get_ge_storage` - - And the GLV lambda constant/endomorphism functions - -This is a significant optimization that would bring Go performance much closer to C. - diff --git a/mem.prof b/mem.prof deleted file mode 100644 index 15c16dbbacbc02474f8b2a690212fe7f0d434d05..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 717 zcmV;;0y6y{iwFP!00004|9p_kYuiX1$5$_VB*peG%4=fSjiSRM7S^)H>#Tj-%`guNR&?1soHhUn`27`z1=zz33!q|Em(AlD1CWUCZ=X-Y zMYuN0un1##Oqb1_Sp$%SpS@*n32w|WEI|(EblE(ZGXQ1q%jCb*oq!x_lqye^yP zbOTTpZ~nz_7LMi_&O!kfblKdRHvl1g{pdpKMsQDH7y)3=$IYvP_N}IDh#T9#uth-} 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