diff --git a/examples/cuda-fanout/Makefile b/examples/cuda-fanout/Makefile index 0460e67..9b361a0 100644 --- a/examples/cuda-fanout/Makefile +++ b/examples/cuda-fanout/Makefile @@ -16,11 +16,24 @@ NVCC ?= nvcc NVCCFLAGS ?= -O3 -arch=sm_86 -Xcompiler="-O3 -Wall -Wextra" NVCC_PATH ?= $(shell which nvcc 2>/dev/null || echo /usr/local/cuda/bin/nvcc) -all: shake256-fanout cgbn-batch-worker +all: shake256-fanout cgbn-batch-worker secp256k1-batch-mul shake256-fanout: shake256-fanout.cu $(NVCC) $(NVCCFLAGS) -o $@ $< +# bend form A — secp256k1 batched scalar*G via VanitySearch-Bitcrack +# vendored GPUMath.h (AGPL-3.0). Per-thread Jacobian double-and-add, +# per-thread inversion to affine. See vendor/vanity-search-bitcrack/NOTICE. +NVCCFLAGS_SECP ?= -O3 -arch=sm_86 -Xcompiler="-O3 -Wall" +secp256k1-batch-mul: secp256k1-batch-mul.cu vendor/vanity-search-bitcrack/GPUMath.h + $(NVCC) $(NVCCFLAGS_SECP) -o $@ $< + +secp256k1-test: secp256k1-batch-mul test_secp256k1_known_answers.py + python3 -u test_secp256k1_known_answers.py ./secp256k1-batch-mul + +secp256k1-bench: secp256k1-batch-mul test_secp256k1_known_answers.py + python3 -u test_secp256k1_known_answers.py ./secp256k1-batch-mul --n 100000 + # bend form B — CGBN bignum batch worker. # CGBN_INC must point at a checkout of https://github.com/NVlabs/CGBN/include # (header-only consumption; CGBN headers are BSD-3-Clause, our wrapper diff --git a/examples/cuda-fanout/gpu-worker.lsp b/examples/cuda-fanout/gpu-worker.lsp index 6dd4031..432ad58 100644 --- a/examples/cuda-fanout/gpu-worker.lsp +++ b/examples/cuda-fanout/gpu-worker.lsp @@ -42,6 +42,13 @@ (or (get-environment-variable "CGBN_BATCH_WORKER") "./cgbn-batch-worker")) +;; secp256k1-batch-mul — bend form A. Batched scalar*G on secp256k1 via +;; vendored VanitySearch-Bitcrack GPUMath.h (AGPL-3.0). Binary wire uses +;; BSCP request / BSCR response magic to stay distinct from BSHK/BCGB. +(define *binary-secp256k1-batch* + (or (get-environment-variable "SECP256K1_BATCH_WORKER") + "./secp256k1-batch-mul")) + (define (parse-port-arg args) (let loop ((rest args)) (cond @@ -301,6 +308,36 @@ (delete-file in-path) (delete-file out-path) (wire-send-raw client (string-append "BERR" (cdr status))))))))) +;; Binary wire for bend form A (cuda-secp256k1-batched-mul). +;; Payload begins with "BSCP"; pass entire blob through to the daemon, +;; which expects the same magic + header. Response payload begins +;; with "BSCR" on success or "BERR" on failure. +(define (handle-binary-secp client payload) + (let* ((daemon (cdr (assoc 'cuda-secp256k1-batched-mul *daemons*))) + (in-path (gensym-path "/tmp/bend-secp-in" ".bin")) + (out-path (gensym-path "/tmp/bend-secp-out" ".bin")) + (t-start (current-time-ms))) + (write-binary-file in-path payload) + (display ";;; bend RECV cuda-secp256k1-batched-mul bytes=") + (display (string-length payload)) + (display " t-ms=") (display t-start) (newline) + (let ((status (daemon-process daemon in-path out-path #t))) + (let ((wall-ms (- (current-time-ms) t-start))) + (cond + ((eq? status 'ok) + (let ((result-blob (read-binary-file out-path))) + (delete-file in-path) (delete-file out-path) + (display ";;; bend DONE cuda-secp256k1-batched-mul") + (display " wall-ms=") (display wall-ms) + (display " out-bytes=") (display (string-length result-blob)) + (newline) + (wire-send-raw client result-blob))) + (else + (display ";;; bend FAIL cuda-secp256k1-batched-mul wall-ms=") + (display wall-ms) (newline) + (delete-file in-path) (delete-file out-path) + (wire-send-raw client (string-append "BERR" (cdr status))))))))) + ;; Accept one client, handle one request, close. Returns #t to keep ;; serving, #f when the server should stop. (define (handle-one server) @@ -319,6 +356,10 @@ (string=? (substring payload 0 4) "BCGB")) (handle-binary-cgbn client payload) (tcp-close client) #t) + ((and (>= (string-length payload) 4) + (string=? (substring payload 0 4) "BSCP")) + (handle-binary-secp client payload) + (tcp-close client) #t) (else (let* ((req (read-from-string payload)) (resp (handle-request req))) @@ -349,6 +390,7 @@ (set! *worker-port* port) (maybe-register-daemon! 'cuda-shake-fanout *binary-shake-fanout*) (maybe-register-daemon! 'cuda-bignum-cgbn *binary-cgbn-batch*) + (maybe-register-daemon! 'cuda-secp256k1-batched-mul *binary-secp256k1-batch*) (let ((server (tcp-listen port))) (cond ((eq? server #f) diff --git a/examples/cuda-fanout/secp256k1-batch-mul.cu b/examples/cuda-fanout/secp256k1-batch-mul.cu new file mode 100644 index 0000000..e44e7cb --- /dev/null +++ b/examples/cuda-fanout/secp256k1-batch-mul.cu @@ -0,0 +1,563 @@ +/* secp256k1-batch-mul.cu -- bend form A: batched scalar*base-point on + * secp256k1 via CUDA. + * + * Plan: examples/cuda-fanout/plans/form-A-secp256k1-batched-mul.md + * Catalog: CATALOG.md form A (cuda-secp256k1-batched-mul). + * + * Wire (BSCP input, little-endian u32 headers, big-endian field bytes): + * "BSCP" 4 B magic + * u32 op_id 0x01 = scalar*base + * u32 n number of scalars + * u8[32] base_x base point X, big-endian (secp256k1 native) + * u8[32] base_y base point Y, big-endian + * u8[n*32] scalars big-endian 256-bit ints + * + * Wire (BSCR output): + * "BSCR" 4 B magic on success, "BERR" on failure + * u32 status 0 ok / 1 bad-magic / 2 bad-n / 3 cuda-fail / + * 4 truncated / 5 bad-op / 6 base-not-on-curve + * u32 n echoed scalar count + * u8[n*64] points N affine points, each (X32 || Y32) big-endian. + * Infinity encoded as all-zero (64 NUL bytes). + * + * Math: per thread compute k*P via Jacobian double-and-add + * (Q = O; for bit msb..lsb: Q = 2*Q; if bit set: Q = Q + P) + * Field arithmetic uses GPUMath.h verbatim from FixedPaul/VanitySearch-Bitcrack + * (vendored under vendor/vanity-search-bitcrack/, AGPL-3.0, original + * Copyright (c) 2019 Jean Luc PONS preserved). + * + * After the per-thread Jacobian result lands in (X:Y:Z), we convert to + * affine via Z^-1, Z^-2, Z^-3. Day-1 ships per-thread _ModInv; Day-2 + * may swap in _ModInvGrouped across N threads for amortisation. + * + * Daemon protocol mirrors shake256-fanout / cgbn-batch-worker: + * ready ; once at startup + * process-bin ; binary request + * done ; success + * error ; failure + * quit / bye ; shutdown + * + * CLI: --binary one-shot mode for tests + * --daemon stdin loop, used by gpu-worker.lsp + * + * License: AGPLv3. + */ + +#include +#include +#include +#include +#include +#include + +#include "vendor/vanity-search-bitcrack/GPUMath.h" + +#define CUDA_CHECK(stmt) do { \ + cudaError_t err = (stmt); \ + if (err != cudaSuccess) { \ + fprintf(stderr, "CUDA error %s at %s:%d: %s\n", \ + #stmt, __FILE__, __LINE__, cudaGetErrorString(err)); \ + return -1; \ + } \ +} while (0) + +enum { + OP_SCALAR_BASE_MUL = 0x01, +}; + +enum { + STATUS_OK = 0, + STATUS_BAD_MAGIC = 1, + STATUS_BAD_N = 2, + STATUS_CUDA_FAIL = 3, + STATUS_TRUNCATED = 4, + STATUS_BAD_OP = 5, + STATUS_NOT_ON_CURVE = 6, +}; + +/* ------------------------------------------------------------------ */ +/* Modular helpers we need but GPUMath.h does not provide. */ + +/* Add two field elements mod p. r = a + b mod p. a,b assumed < p. + * GPUMath.h ships ModSub but no ModAdd, so we synthesise one via a + * conditional subtract after a 256-bit addition. + */ +__device__ __forceinline__ void ModAdd256(uint64_t* r, uint64_t* a, uint64_t* b) { + /* a, b assumed < p. Sum fits in 257 bits. Subtract p once if the + * 257-bit sum >= p; the conditional is (carry == 1) OR + * (carry == 0 AND sum >= p), which equivalently is "subtract-p + * produces no borrow once we extend the carry into bit 256". + */ + uint64_t s[4]; + uint64_t carry; + UADDO(s[0], a[0], b[0]); + UADDC(s[1], a[1], b[1]); + UADDC(s[2], a[2], b[2]); + UADDC(s[3], a[3], b[3]); + UADD(carry, 0ULL, 0ULL); + /* Trial: s - p */ + uint64_t t[4]; uint64_t borrow; + USUBO(t[0], s[0], 0xFFFFFFFEFFFFFC2FULL); + USUBC(t[1], s[1], 0xFFFFFFFFFFFFFFFFULL); + USUBC(t[2], s[2], 0xFFFFFFFFFFFFFFFFULL); + USUBC(t[3], s[3], 0xFFFFFFFFFFFFFFFFULL); + USUB(borrow, 0ULL, 0ULL); + /* Take subtracted form if (carry produced) OR (no borrow). */ + if (carry || !borrow) { + r[0] = t[0]; r[1] = t[1]; r[2] = t[2]; r[3] = t[3]; + } else { + r[0] = s[0]; r[1] = s[1]; r[2] = s[2]; r[3] = s[3]; + } +} + +/* in-place: r = 2*r mod p */ +__device__ __forceinline__ void ModDouble256(uint64_t* r) { + ModAdd256(r, r, r); +} + +/* in-place: r = 3*r mod p */ +__device__ __forceinline__ void ModTriple256(uint64_t* r, uint64_t* a) { + uint64_t t[4]; + ModAdd256(t, a, a); + ModAdd256(r, t, a); +} + +/* Convenience wrapper around GPUMath.h's 5-limb _ModInv. The on-curve + * inputs are 4 limbs (< p), so we pad to 5 limbs (limb[4]=0) and + * accept the in-place result. + */ +__device__ __forceinline__ void ModInv256(uint64_t* r) { + uint64_t v[5]; + v[0] = r[0]; v[1] = r[1]; v[2] = r[2]; v[3] = r[3]; v[4] = 0; + _ModInv(v); + r[0] = v[0]; r[1] = v[1]; r[2] = v[2]; r[3] = v[3]; +} + +/* Convenience wrapper around GPUMath.h's 5-limb _ModMult / _ModSqr. + * Limb 4 is set to 0 for the inputs since they are < p; the result + * limb 4 is also < 1 because _ModMult does the final fold. + */ +/* Final-reduce a 4-limb value possibly in [0, 2p) down to [0, p). */ +__device__ __forceinline__ void cond_sub_p(uint64_t* r) { + uint64_t t[4]; uint64_t borrow; + USUBO(t[0], r[0], 0xFFFFFFFEFFFFFC2FULL); + USUBC(t[1], r[1], 0xFFFFFFFFFFFFFFFFULL); + USUBC(t[2], r[2], 0xFFFFFFFFFFFFFFFFULL); + USUBC(t[3], r[3], 0xFFFFFFFFFFFFFFFFULL); + USUB(borrow, 0ULL, 0ULL); + if (!borrow) { r[0]=t[0]; r[1]=t[1]; r[2]=t[2]; r[3]=t[3]; } +} + +__device__ __forceinline__ void ModMult4(uint64_t* r, uint64_t* a, uint64_t* b) { + /* _ModMult ignores aa[4]/bb[4] but writes only rr[0..3]. */ + uint64_t aa[5], bb[5], rr[5] = {0,0,0,0,0}; + aa[0] = a[0]; aa[1] = a[1]; aa[2] = a[2]; aa[3] = a[3]; aa[4] = 0; + bb[0] = b[0]; bb[1] = b[1]; bb[2] = b[2]; bb[3] = b[3]; bb[4] = 0; + _ModMult(rr, aa, bb); + r[0] = rr[0]; r[1] = rr[1]; r[2] = rr[2]; r[3] = rr[3]; + cond_sub_p(r); +} + +__device__ __forceinline__ void ModSqr4(uint64_t* r, uint64_t* a) { + uint64_t aa[5], rr[5] = {0,0,0,0,0}; + aa[0] = a[0]; aa[1] = a[1]; aa[2] = a[2]; aa[3] = a[3]; aa[4] = 0; + _ModSqr(rr, aa); + r[0] = rr[0]; r[1] = rr[1]; r[2] = rr[2]; r[3] = rr[3]; + cond_sub_p(r); +} + +/* ------------------------------------------------------------------ */ +/* Jacobian point ops on secp256k1 (a = 0). Coordinates X,Y,Z each + * 4-limb little-endian field elements. Identity = (any, any, 0). + */ + +__device__ __forceinline__ int is_zero4(uint64_t* a) { + return (a[0] | a[1] | a[2] | a[3]) == 0; +} + +/* Jacobian double (a=0): + * A = X^2; B = Y^2; C = B^2 + * D = 2*((X+B)^2 - A - C) + * E = 3*A; F = E^2 + * X3 = F - 2*D + * Y3 = E*(D - X3) - 8*C + * Z3 = 2*Y*Z + */ +__device__ void jac_double(uint64_t* X3, uint64_t* Y3, uint64_t* Z3, + uint64_t* X1, uint64_t* Y1, uint64_t* Z1) { + if (is_zero4(Z1)) { + X3[0]=X3[1]=X3[2]=X3[3]=0; + Y3[0]=Y3[1]=Y3[2]=Y3[3]=0; + Z3[0]=Z3[1]=Z3[2]=Z3[3]=0; + return; + } + uint64_t A[4], B[4], C[4], D[4], E[4], F[4], XB[4], t[4]; + ModSqr4(A, X1); /* A = X^2 */ + ModSqr4(B, Y1); /* B = Y^2 */ + ModSqr4(C, B); /* C = B^2 */ + ModAdd256(XB, X1, B); /* XB = X + B */ + ModSqr4(t, XB); /* t = (X+B)^2 */ + ModSub256(t, A); /* t -= A */ + ModSub256(t, C); /* t -= C */ + ModDouble256(t); /* D = 2*t */ + D[0]=t[0]; D[1]=t[1]; D[2]=t[2]; D[3]=t[3]; + ModTriple256(E, A); /* E = 3*A */ + ModSqr4(F, E); /* F = E^2 */ + /* X3 = F - 2*D */ + uint64_t twoD[4]; + twoD[0]=D[0]; twoD[1]=D[1]; twoD[2]=D[2]; twoD[3]=D[3]; + ModDouble256(twoD); + ModSub256(X3, F, twoD); + /* Y3 = E*(D - X3) - 8*C */ + uint64_t DmX[4], eightC[4], EDX[4]; + ModSub256(DmX, D, X3); + ModMult4(EDX, E, DmX); + eightC[0]=C[0]; eightC[1]=C[1]; eightC[2]=C[2]; eightC[3]=C[3]; + ModDouble256(eightC); + ModDouble256(eightC); + ModDouble256(eightC); + ModSub256(Y3, EDX, eightC); + /* Z3 = 2*Y*Z */ + uint64_t YZ[4]; + ModMult4(YZ, Y1, Z1); + ModAdd256(Z3, YZ, YZ); +} + +/* Jacobian + affine addition (a=0). P1 in Jacobian, P2 in affine. + * (X2, Y2) affine. Handles P1=O and P1+/-P2 special cases. + */ +__device__ void jac_add_affine(uint64_t* X3, uint64_t* Y3, uint64_t* Z3, + uint64_t* X1, uint64_t* Y1, uint64_t* Z1, + uint64_t* X2, uint64_t* Y2) { + if (is_zero4(Z1)) { + X3[0]=X2[0]; X3[1]=X2[1]; X3[2]=X2[2]; X3[3]=X2[3]; + Y3[0]=Y2[0]; Y3[1]=Y2[1]; Y3[2]=Y2[2]; Y3[3]=Y2[3]; + Z3[0]=1; Z3[1]=0; Z3[2]=0; Z3[3]=0; + return; + } + uint64_t Z1Z1[4], U2[4], S2[4], H[4], r[4], HH[4], HHH[4], V[4]; + uint64_t Z1Z1Z1[4], t1[4], t2[4]; + ModSqr4(Z1Z1, Z1); /* Z1Z1 = Z1^2 */ + ModMult4(U2, X2, Z1Z1); /* U2 = X2*Z1^2 */ + ModMult4(Z1Z1Z1, Z1, Z1Z1); /* Z1^3 */ + ModMult4(S2, Y2, Z1Z1Z1); /* S2 = Y2*Z1^3 */ + ModSub256(H, U2, X1); /* H = U2 - X1 */ + ModSub256(r, S2, Y1); /* r = S2 - Y1 */ + if (is_zero4(H)) { + /* Same X. If r == 0 -> point double; else -> infinity */ + if (is_zero4(r)) { + jac_double(X3, Y3, Z3, X1, Y1, Z1); + return; + } + X3[0]=X3[1]=X3[2]=X3[3]=0; + Y3[0]=Y3[1]=Y3[2]=Y3[3]=0; + Z3[0]=Z3[1]=Z3[2]=Z3[3]=0; + return; + } + ModSqr4(HH, H); /* HH = H^2 */ + ModMult4(HHH, H, HH); /* HHH = H^3 */ + ModMult4(V, X1, HH); /* V = X1*HH */ + /* X3 = r^2 - HHH - 2*V */ + uint64_t r2[4], twoV[4]; + ModSqr4(r2, r); + twoV[0]=V[0]; twoV[1]=V[1]; twoV[2]=V[2]; twoV[3]=V[3]; + ModDouble256(twoV); + ModSub256(t1, r2, HHH); + ModSub256(X3, t1, twoV); + /* Y3 = r*(V - X3) - Y1*HHH */ + ModSub256(t1, V, X3); + ModMult4(t2, r, t1); + ModMult4(t1, Y1, HHH); + ModSub256(Y3, t2, t1); + /* Z3 = Z1 * H */ + ModMult4(Z3, Z1, H); +} + +/* ------------------------------------------------------------------ */ +/* Scan a big-endian 32-byte scalar bit-by-bit, top to bottom. */ + +__device__ __forceinline__ int scalar_bit_be(const uint8_t* k, int i) { + /* bit 0 = LSB. i in [0, 255]. k is BE: k[0] = top byte. */ + int byte_idx = 31 - (i >> 3); + int bit_idx = i & 7; + return (k[byte_idx] >> bit_idx) & 1; +} + +/* Per-thread: scalar k (big-endian) * base point (Px, Py, affine) -> + * Jacobian (X, Y, Z). Output in 4-limb LE. + */ +__device__ void scalar_mul(uint64_t* outX, uint64_t* outY, uint64_t* outZ, + const uint8_t* k_be, + uint64_t* Px, uint64_t* Py) { + /* Q = O (Z=0) */ + uint64_t Qx[4] = {0,0,0,0}; + uint64_t Qy[4] = {0,0,0,0}; + uint64_t Qz[4] = {0,0,0,0}; + uint64_t Tx[4], Ty[4], Tz[4]; + for (int i = 255; i >= 0; i--) { + jac_double(Tx, Ty, Tz, Qx, Qy, Qz); + Qx[0]=Tx[0]; Qx[1]=Tx[1]; Qx[2]=Tx[2]; Qx[3]=Tx[3]; + Qy[0]=Ty[0]; Qy[1]=Ty[1]; Qy[2]=Ty[2]; Qy[3]=Ty[3]; + Qz[0]=Tz[0]; Qz[1]=Tz[1]; Qz[2]=Tz[2]; Qz[3]=Tz[3]; + if (scalar_bit_be(k_be, i)) { + jac_add_affine(Tx, Ty, Tz, Qx, Qy, Qz, Px, Py); + Qx[0]=Tx[0]; Qx[1]=Tx[1]; Qx[2]=Tx[2]; Qx[3]=Tx[3]; + Qy[0]=Ty[0]; Qy[1]=Ty[1]; Qy[2]=Ty[2]; Qy[3]=Ty[3]; + Qz[0]=Tz[0]; Qz[1]=Tz[1]; Qz[2]=Tz[2]; Qz[3]=Tz[3]; + } + } + outX[0]=Qx[0]; outX[1]=Qx[1]; outX[2]=Qx[2]; outX[3]=Qx[3]; + outY[0]=Qy[0]; outY[1]=Qy[1]; outY[2]=Qy[2]; outY[3]=Qy[3]; + outZ[0]=Qz[0]; outZ[1]=Qz[1]; outZ[2]=Qz[2]; outZ[3]=Qz[3]; +} + +/* ------------------------------------------------------------------ */ +/* Kernel: one thread per scalar. */ + +__global__ void secp_mul_batch_kernel( + const uint64_t* base_xy, /* 8 limbs total: [Px(4), Py(4)] LE */ + const uint8_t* scalars, /* n * 32 bytes BE */ + uint8_t* out_points,/* n * 64 bytes BE: x32 || y32 */ + uint32_t n) +{ + uint32_t idx = blockIdx.x * blockDim.x + threadIdx.x; + if (idx >= n) return; + const uint8_t* k_be = scalars + (size_t)idx * 32; + + uint64_t Px[4] = { base_xy[0], base_xy[1], base_xy[2], base_xy[3] }; + uint64_t Py[4] = { base_xy[4], base_xy[5], base_xy[6], base_xy[7] }; + + uint64_t Jx[4], Jy[4], Jz[4]; + scalar_mul(Jx, Jy, Jz, k_be, Px, Py); + + uint8_t* outp = out_points + (size_t)idx * 64; + + if (is_zero4(Jz)) { + /* infinity: emit 64 NUL bytes */ + for (int i = 0; i < 64; i++) outp[i] = 0; + return; + } + + /* Affine = (X/Z^2, Y/Z^3). Inverse Z. */ + uint64_t Zi[4] = { Jz[0], Jz[1], Jz[2], Jz[3] }; + ModInv256(Zi); + uint64_t Zi2[4], Zi3[4]; + ModSqr4(Zi2, Zi); + ModMult4(Zi3, Zi2, Zi); + uint64_t Ax[4], Ay[4]; + ModMult4(Ax, Jx, Zi2); + ModMult4(Ay, Jy, Zi3); + + /* Emit BE. limb 0 = LSB; bytes 0..7 of limb 3 = top of value (BE) */ + for (int li = 0; li < 4; li++) { + uint64_t x = Ax[3 - li]; + for (int b = 0; b < 8; b++) { + outp[li*8 + b] = (uint8_t)(x >> (56 - 8*b)); + } + uint64_t y = Ay[3 - li]; + for (int b = 0; b < 8; b++) { + outp[32 + li*8 + b] = (uint8_t)(y >> (56 - 8*b)); + } + } +} + +/* ------------------------------------------------------------------ */ +/* Host helpers. */ + +static int read_file_to_buffer(const char* path, uint8_t** out_buf, size_t* out_len) { + FILE* f = fopen(path, "rb"); + if (!f) { fprintf(stderr, "open %s failed\n", path); return -1; } + fseek(f, 0, SEEK_END); + long sz = ftell(f); + fseek(f, 0, SEEK_SET); + uint8_t* buf = (uint8_t*)malloc(sz); + if (!buf) { fclose(f); return -1; } + if (fread(buf, 1, sz, f) != (size_t)sz) { free(buf); fclose(f); return -1; } + fclose(f); + *out_buf = buf; + *out_len = sz; + return 0; +} + +static int write_buffer_to_file(const char* path, const uint8_t* buf, size_t len) { + FILE* f = fopen(path, "wb"); + if (!f) { fprintf(stderr, "create %s failed\n", path); return -1; } + if (fwrite(buf, 1, len, f) != len) { fclose(f); return -1; } + fclose(f); + return 0; +} + +static uint32_t rd32_le(const uint8_t* p) { + return (uint32_t)p[0] | ((uint32_t)p[1] << 8) + | ((uint32_t)p[2] << 16) | ((uint32_t)p[3] << 24); +} +static void wr32_le(uint8_t* p, uint32_t v) { + p[0] = v & 0xff; p[1] = (v >> 8) & 0xff; + p[2] = (v >> 16) & 0xff; p[3] = (v >> 24) & 0xff; +} + +/* Big-endian 32-byte -> 4-limb little-endian u64. */ +static void be32_to_limbs(uint64_t out[4], const uint8_t* in) { + for (int li = 0; li < 4; li++) { + uint64_t v = 0; + for (int b = 0; b < 8; b++) { + v = (v << 8) | in[li*8 + b]; + } + out[3 - li] = v; + } +} + +/* Emit BSCR error payload to disk so the daemon protocol can write a + * legal output even on input-validation failure. + */ +static int write_bscr_error(const char* out_path, uint32_t status) { + uint8_t buf[12]; + memcpy(buf, "BSCR", 4); + wr32_le(buf + 4, status); + wr32_le(buf + 8, 0); + return write_buffer_to_file(out_path, buf, sizeof(buf)); +} + +static int process_one_bin(const char* in_path, const char* out_path) { + uint8_t* in_buf = NULL; + size_t in_len = 0; + if (read_file_to_buffer(in_path, &in_buf, &in_len) != 0) return -1; + + if (in_len < 12 || memcmp(in_buf, "BSCP", 4) != 0) { + fprintf(stderr, "bad BSCP magic / short input (%zu bytes)\n", in_len); + free(in_buf); + write_bscr_error(out_path, STATUS_BAD_MAGIC); + return -1; + } + uint32_t op_id = rd32_le(in_buf + 4); + uint32_t n = rd32_le(in_buf + 8); + + if (op_id != OP_SCALAR_BASE_MUL) { + fprintf(stderr, "unsupported op_id 0x%02x\n", op_id); + free(in_buf); + write_bscr_error(out_path, STATUS_BAD_OP); + return -1; + } + + size_t expected = 12 + 64 + (size_t)n * 32; + if (in_len != expected) { + fprintf(stderr, "BSCP size %zu != expected %zu (n=%u)\n", in_len, expected, n); + free(in_buf); + write_bscr_error(out_path, STATUS_TRUNCATED); + return -1; + } + if (n == 0) { + free(in_buf); + uint8_t hdr[12]; + memcpy(hdr, "BSCR", 4); + wr32_le(hdr + 4, STATUS_OK); + wr32_le(hdr + 8, 0); + return write_buffer_to_file(out_path, hdr, sizeof(hdr)); + } + + const uint8_t* base_x_be = in_buf + 12; + const uint8_t* base_y_be = in_buf + 12 + 32; + const uint8_t* scalars_be = in_buf + 12 + 64; + + uint64_t base_limbs[8]; + be32_to_limbs(&base_limbs[0], base_x_be); + be32_to_limbs(&base_limbs[4], base_y_be); + + /* Device buffers */ + uint64_t* d_base = NULL; + uint8_t* d_scalars = NULL; + uint8_t* d_points = NULL; + CUDA_CHECK(cudaMalloc(&d_base, 8 * sizeof(uint64_t))); + CUDA_CHECK(cudaMalloc(&d_scalars, (size_t)n * 32)); + CUDA_CHECK(cudaMalloc(&d_points, (size_t)n * 64)); + + CUDA_CHECK(cudaMemcpy(d_base, base_limbs, 8 * sizeof(uint64_t), + cudaMemcpyHostToDevice)); + CUDA_CHECK(cudaMemcpy(d_scalars, scalars_be, (size_t)n * 32, + cudaMemcpyHostToDevice)); + + uint32_t threads_per_block = 128; + uint32_t blocks = (n + threads_per_block - 1) / threads_per_block; + + struct timespec t0, t1; + clock_gettime(CLOCK_MONOTONIC, &t0); + secp_mul_batch_kernel<<>>(d_base, d_scalars, d_points, n); + CUDA_CHECK(cudaDeviceSynchronize()); + clock_gettime(CLOCK_MONOTONIC, &t1); + double kernel_ms = (t1.tv_sec - t0.tv_sec) * 1e3 + + (t1.tv_nsec - t0.tv_nsec) / 1e6; + + /* Assemble output */ + size_t out_size = 12 + (size_t)n * 64; + uint8_t* out_buf = (uint8_t*)malloc(out_size); + if (!out_buf) { + cudaFree(d_base); cudaFree(d_scalars); cudaFree(d_points); + free(in_buf); return -1; + } + memcpy(out_buf, "BSCR", 4); + wr32_le(out_buf + 4, STATUS_OK); + wr32_le(out_buf + 8, n); + CUDA_CHECK(cudaMemcpy(out_buf + 12, d_points, (size_t)n * 64, + cudaMemcpyDeviceToHost)); + + cudaFree(d_base); cudaFree(d_scalars); cudaFree(d_points); + free(in_buf); + + int wr = write_buffer_to_file(out_path, out_buf, out_size); + free(out_buf); + fprintf(stderr, "secp op=0x%02x n=%u kernel=%.2fms %.3f Mkeys/s\n", + op_id, n, kernel_ms, + (kernel_ms > 0) ? ((double)n / 1000.0) / kernel_ms : 0.0); + return wr; +} + +/* ------------------------------------------------------------------ */ + +int main(int argc, char** argv) { + if (argc >= 2 && !strcmp(argv[1], "--daemon")) { + int dev_count = 0; + cudaGetDeviceCount(&dev_count); + if (dev_count == 0) { + fprintf(stderr, "no CUDA devices\n"); + return 1; + } + cudaFree(0); + fprintf(stdout, "ready\n"); fflush(stdout); + + char line[4096]; + while (fgets(line, sizeof(line), stdin)) { + char* nl = strchr(line, '\n'); + if (nl) *nl = 0; + if (!strcmp(line, "quit") || !strcmp(line, "bye")) { + fprintf(stdout, "bye\n"); fflush(stdout); + break; + } + if (!strncmp(line, "process-bin ", 12)) { + char* args = line + 12; + char* sep = strchr(args, ' '); + if (!sep) { + fprintf(stdout, "error bad-args\n"); fflush(stdout); + continue; + } + *sep = 0; + char* in_path = args; + char* out_path = sep + 1; + int r = process_one_bin(in_path, out_path); + fprintf(stdout, r == 0 ? "done %s\n" : "error process-failed\n", + out_path); + fflush(stdout); + } else if (line[0]) { + fprintf(stdout, "error unknown-command\n"); fflush(stdout); + } + } + return 0; + } + if (argc >= 4 && !strcmp(argv[1], "--binary")) { + return process_one_bin(argv[2], argv[3]); + } + fprintf(stderr, + "usage: %s --binary \n" + " %s --daemon (read commands on stdin)\n", + argv[0], argv[0]); + return 1; +} diff --git a/examples/cuda-fanout/test_secp256k1_known_answers.py b/examples/cuda-fanout/test_secp256k1_known_answers.py new file mode 100644 index 0000000..0fb8043 --- /dev/null +++ b/examples/cuda-fanout/test_secp256k1_known_answers.py @@ -0,0 +1,250 @@ +"""test_secp256k1_known_answers.py — bend form A validator. + +Pipes BSCP-format scalar*G requests at our secp256k1-batch-mul worker +via --binary mode, parses the BSCR response, and compares each output +point against a host reference (coincurve, fallback ecdsa). + +Wire format matches secp256k1-batch-mul.cu header doc: + BSCP + u32 op_id + u32 n + base_x(BE,32) + base_y(BE,32) + scalars(BE,32*n) + BSCR + u32 status + u32 n + points(BE,64*n x||y) + +Usage: + python3 -u test_secp256k1_known_answers.py [worker-path] + python3 -u test_secp256k1_known_answers.py ./secp256k1-batch-mul --n 1000 +""" +import argparse +import os +import random +import struct +import subprocess +import sys +import tempfile +import time + +# secp256k1 curve order and base point. +SECP256K1_N = 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141 +SECP256K1_GX = 0x79BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798 +SECP256K1_GY = 0x483ADA7726A3C4655DA4FBFC0E1108A8FD17B448A68554199C47D08FFB10D4B8 + +HAS_COINCURVE = False +HAS_ECDSA = False +try: + from coincurve import PrivateKey, PublicKey + HAS_COINCURVE = True +except ImportError: + try: + from ecdsa import SigningKey, SECP256k1, ellipticcurve + from ecdsa.ecdsa import generator_secp256k1 + HAS_ECDSA = True + except ImportError: + pass + +if not HAS_COINCURVE and not HAS_ECDSA: + print("ERROR: install coincurve (pip install coincurve) or python-ecdsa") + sys.exit(1) + + +def host_scalar_mul_G(k): + """Return (x, y) of k*G on secp256k1, or (0, 0) for infinity.""" + k = k % SECP256K1_N + if k == 0: + return (0, 0) + if HAS_COINCURVE: + # coincurve's PrivateKey requires 1 <= k < n; encode public_key.format(False) + # gives 0x04 + x32 + y32. + priv = PrivateKey.from_int(k) + pub = priv.public_key.format(compressed=False) + assert pub[0] == 0x04 + x = int.from_bytes(pub[1:33], "big") + y = int.from_bytes(pub[33:65], "big") + return (x, y) + else: + pt = k * generator_secp256k1 + if pt == ellipticcurve.INFINITY: + return (0, 0) + return (pt.x(), pt.y()) + + +def host_scalar_mul_point(k, px, py): + """k * (px, py) on secp256k1. Used only when base != G.""" + if HAS_ECDSA: + from ecdsa.ecdsa import generator_secp256k1 + # Build the affine point on the same curve. + curve = generator_secp256k1.curve() + pt = ellipticcurve.Point(curve, px, py) + result = k * pt + if result == ellipticcurve.INFINITY: + return (0, 0) + return (result.x(), result.y()) + # coincurve only exposes G-based ops; for non-G base fall through + # to a pure-Python double-and-add. + return _python_scalar_mul(k, px, py) + + +_SECP_P = 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2F + +def _python_scalar_mul(k, px, py): + def inv(a, m): return pow(a, -1, m) + def add(P, Q): + if P is None: return Q + if Q is None: return P + if P[0] == Q[0]: + if (P[1] + Q[1]) % _SECP_P == 0: + return None + lam = (3 * P[0] * P[0]) * inv(2 * P[1], _SECP_P) % _SECP_P + else: + lam = (Q[1] - P[1]) * inv(Q[0] - P[0], _SECP_P) % _SECP_P + x3 = (lam * lam - P[0] - Q[0]) % _SECP_P + y3 = (lam * (P[0] - x3) - P[1]) % _SECP_P + return (x3, y3) + R = None + P = (px, py) + while k: + if k & 1: R = add(R, P) + P = add(P, P) + k >>= 1 + return (0, 0) if R is None else R + + +def int_to_be32(v): + return int(v % (1 << 256)).to_bytes(32, "big") + + +def build_bscp(n, base_x, base_y, scalars): + parts = [b"BSCP", + (0x01).to_bytes(4, "little"), + n.to_bytes(4, "little"), + int_to_be32(base_x), + int_to_be32(base_y)] + for s in scalars: + parts.append(int_to_be32(s)) + return b"".join(parts) + + +def parse_bscr(blob, n): + if len(blob) < 12: + raise RuntimeError(f"short BSCR: {len(blob)} bytes") + magic = blob[:4] + status = int.from_bytes(blob[4:8], "little") + n_echo = int.from_bytes(blob[8:12], "little") + if magic != b"BSCR": + raise RuntimeError(f"bad magic {magic!r}, status={status}") + if status != 0: + raise RuntimeError(f"worker status={status} (nonzero)") + if n_echo != n: + raise RuntimeError(f"n mismatch: req={n} resp={n_echo}") + expected = 12 + n * 64 + if len(blob) != expected: + raise RuntimeError(f"BSCR size {len(blob)} != expected {expected}") + out = [] + for i in range(n): + off = 12 + i * 64 + x = int.from_bytes(blob[off:off+32], "big") + y = int.from_bytes(blob[off+32:off+64], "big") + out.append((x, y)) + return out + + +def run_worker(worker, blob): + with tempfile.NamedTemporaryFile(delete=False, suffix=".bscp") as fin: + fin.write(blob) + in_path = fin.name + out_path = in_path.replace(".bscp", ".bscr") + try: + r = subprocess.run([worker, "--binary", in_path, out_path], + capture_output=True, timeout=600) + if r.returncode != 0: + raise RuntimeError(f"worker exit {r.returncode}: {r.stderr[:400].decode(errors='replace')}") + with open(out_path, "rb") as f: + return f.read(), r.stderr.decode(errors="replace") + finally: + for p in (in_path, out_path): + try: os.unlink(p) + except OSError: pass + + +def test_known_small(worker): + """Tiny fixed-scalar sanity. Includes 1, 2, 3, n-1, n (->infinity).""" + scalars = [1, 2, 3, 7, 0xdeadbeef, + SECP256K1_N - 1, + SECP256K1_N, # infinity + (1 << 128) - 1] + n = len(scalars) + blob = build_bscp(n, SECP256K1_GX, SECP256K1_GY, scalars) + out, _ = run_worker(worker, blob) + pts = parse_bscr(out, n) + fails = 0 + for i, k in enumerate(scalars): + exp = host_scalar_mul_G(k) + got = pts[i] + if exp != got: + fails += 1 + if fails <= 3: + print(f" FAIL k=0x{k:x}") + print(f" exp x=0x{exp[0]:064x} y=0x{exp[1]:064x}") + print(f" got x=0x{got[0]:064x} y=0x{got[1]:064x}") + label = "known-small" + if fails == 0: + print(f" PASS {label:25s} n={n}") + return True + print(f" FAIL {label:25s} n={n} mismatches={fails}/{n}") + return False + + +def test_random_n(worker, n, seed=0xC0FFEE): + rng = random.Random(seed ^ n) + scalars = [rng.randrange(1, SECP256K1_N) for _ in range(n)] + blob = build_bscp(n, SECP256K1_GX, SECP256K1_GY, scalars) + t0 = time.monotonic() + out, stderr_text = run_worker(worker, blob) + wall = time.monotonic() - t0 + pts = parse_bscr(out, n) + fails = 0 + first = None + t_h0 = time.monotonic() + for i, k in enumerate(scalars): + exp = host_scalar_mul_G(k) + if pts[i] != exp: + fails += 1 + if first is None: + first = (i, k, exp, pts[i]) + host_ms = (time.monotonic() - t_h0) * 1000 + label = f"random n={n}" + if fails == 0: + thr = n / wall / 1e3 + print(f" PASS {label:25s} n={n} worker={wall*1000:.1f}ms host={host_ms:.0f}ms kkeys/s={thr:.1f}") + print(f" {stderr_text.strip().splitlines()[-1] if stderr_text else ''}") + return True + i, k, exp, got = first + print(f" FAIL {label:25s} n={n} mismatches={fails}/{n}") + print(f" first @ i={i}") + print(f" k = 0x{k:064x}") + print(f" exp = ({exp[0]:#x}, {exp[1]:#x})") + print(f" got = ({got[0]:#x}, {got[1]:#x})") + return False + + +def main(): + ap = argparse.ArgumentParser() + ap.add_argument("worker", nargs="?", default="./secp256k1-batch-mul") + ap.add_argument("--n", type=int, default=None, + help="single N override (default: sweep)") + args = ap.parse_args() + if not os.path.exists(args.worker): + print(f"worker not found: {args.worker}") + sys.exit(1) + print(f"=== secp256k1-batch-mul validation ({args.worker}) ===") + print(f" reference: {'coincurve' if HAS_COINCURVE else 'python-ecdsa'}") + ok = test_known_small(args.worker) + ns = [args.n] if args.n else [32, 1000, 10000] + for n in ns: + ok = test_random_n(args.worker, n) and ok + if ok: + print("\nALL PASS") + sys.exit(0) + print("\nFAILED") + sys.exit(1) + + +if __name__ == "__main__": + main() diff --git a/examples/cuda-fanout/vendor/vanity-search-bitcrack/GPUMath.h b/examples/cuda-fanout/vendor/vanity-search-bitcrack/GPUMath.h new file mode 100644 index 0000000..902db84 --- /dev/null +++ b/examples/cuda-fanout/vendor/vanity-search-bitcrack/GPUMath.h @@ -0,0 +1,891 @@ +/* +* This file is part of the VanitySearch distribution (https://github.com/JeanLucPons/VanitySearch). +* Copyright (c) 2019 Jean Luc PONS. +* +* This program is free software: you can redistribute it and/or modify +* it under the terms of the GNU General Public License as published by +* the Free Software Foundation, version 3. +* +* This program is distributed in the hope that it will be useful, but +* WITHOUT ANY WARRANTY; without even the implied warranty of +* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU +* General Public License for more details. +* +* You should have received a copy of the GNU General Public License +* along with this program. If not, see . +*/ + +// --------------------------------------------------------------------------------- +// 256(+64) bits integer CUDA libray for SECPK1 +// --------------------------------------------------------------------------------- + + + +// We need 1 extra block for ModInv +#define NBBLOCK 5 +#define BIFULLSIZE 40 + +// Assembly directives +#define UADDO(c, a, b) asm volatile ("add.cc.u64 %0, %1, %2;" : "=l"(c) : "l"(a), "l"(b) : "memory" ); +#define UADDC(c, a, b) asm volatile ("addc.cc.u64 %0, %1, %2;" : "=l"(c) : "l"(a), "l"(b) : "memory" ); +#define UADD(c, a, b) asm volatile ("addc.u64 %0, %1, %2;" : "=l"(c) : "l"(a), "l"(b)); + +#define UADDO1(c, a) asm volatile ("add.cc.u64 %0, %0, %1;" : "+l"(c) : "l"(a) : "memory" ); +#define UADDC1(c, a) asm volatile ("addc.cc.u64 %0, %0, %1;" : "+l"(c) : "l"(a) : "memory" ); +#define UADD1(c, a) asm volatile ("addc.u64 %0, %0, %1;" : "+l"(c) : "l"(a)); + +#define USUBO(c, a, b) asm volatile ("sub.cc.u64 %0, %1, %2;" : "=l"(c) : "l"(a), "l"(b) : "memory" ); +#define USUBC(c, a, b) asm volatile ("subc.cc.u64 %0, %1, %2;" : "=l"(c) : "l"(a), "l"(b) : "memory" ); +#define USUB(c, a, b) asm volatile ("subc.u64 %0, %1, %2;" : "=l"(c) : "l"(a), "l"(b)); + +#define USUBO1(c, a) asm volatile ("sub.cc.u64 %0, %0, %1;" : "+l"(c) : "l"(a) : "memory" ); +#define USUBC1(c, a) asm volatile ("subc.cc.u64 %0, %0, %1;" : "+l"(c) : "l"(a) : "memory" ); +#define USUB1(c, a) asm volatile ("subc.u64 %0, %0, %1;" : "+l"(c) : "l"(a) ); + +#define UMULLO(lo,a, b) asm volatile ("mul.lo.u64 %0, %1, %2;" : "=l"(lo) : "l"(a), "l"(b)); +#define UMULHI(hi,a, b) asm volatile ("mul.hi.u64 %0, %1, %2;" : "=l"(hi) : "l"(a), "l"(b)); +#define MADDO(r,a,b,c) asm volatile ("mad.hi.cc.u64 %0, %1, %2, %3;" : "=l"(r) : "l"(a), "l"(b), "l"(c) : "memory" ); +#define MADDC(r,a,b,c) asm volatile ("madc.hi.cc.u64 %0, %1, %2, %3;" : "=l"(r) : "l"(a), "l"(b), "l"(c) : "memory" ); +#define MADD(r,a,b,c) asm volatile ("madc.hi.u64 %0, %1, %2, %3;" : "=l"(r) : "l"(a), "l"(b), "l"(c)); + + + +//#define MM64 0xD838091DD2253531ULL +//#define MSK62 0x3FFFFFFFFFFFFFFF + + +__device__ __constant__ uint64_t MM64 = 0xD838091DD2253531ULL; +__device__ __constant__ uint64_t MSK62 = 0x3FFFFFFFFFFFFFFFULL; + +// --------------------------------------------------------------------------------------- + +#define _IsPositive(x) (((int64_t)(x[4]))>=0LL) +#define _IsNegative(x) (((int64_t)(x[4]))<0LL) +#define _IsEqual(a,b) ((a[4] == b[4]) && (a[3] == b[3]) && (a[2] == b[2]) && (a[1] == b[1]) && (a[0] == b[0])) +#define _IsZero(a) ((a[4] | a[3] | a[2] | a[1] | a[0]) == 0ULL) +#define _IsOne(a) ((a[4] == 0ULL) && (a[3] == 0ULL) && (a[2] == 0ULL) && (a[1] == 0ULL) && (a[0] == 1ULL)) + +#define IDX threadIdx.x + + +// --------------------------------------------------------------------------------------- + +#define AddP(r) { \ + UADDO1(r[0], 0xFFFFFFFEFFFFFC2FULL); \ + UADDC1(r[1], 0xFFFFFFFFFFFFFFFFULL); \ + UADDC1(r[2], 0xFFFFFFFFFFFFFFFFULL); \ + UADDC1(r[3], 0xFFFFFFFFFFFFFFFFULL); \ + UADD1(r[4], 0ULL);} + +// --------------------------------------------------------------------------------------- + +#define SubP(r) { \ + USUBO1(r[0], 0xFFFFFFFEFFFFFC2FULL); \ + USUBC1(r[1], 0xFFFFFFFFFFFFFFFFULL); \ + USUBC1(r[2], 0xFFFFFFFFFFFFFFFFULL); \ + USUBC1(r[3], 0xFFFFFFFFFFFFFFFFULL); \ + USUB1(r[4], 0ULL);} + + + +// --------------------------------------------------------------------------------------- + +#define Neg(r) {\ +USUBO(r[0],0ULL,r[0]); \ +USUBC(r[1],0ULL,r[1]); \ +USUBC(r[2],0ULL,r[2]); \ +USUBC(r[3],0ULL,r[3]); \ +USUB(r[4],0ULL,r[4]); } + +// --------------------------------------------------------------------------------------- + +#define UMult(r, a, b) {\ + UMULLO(r[0],a[0],b); \ + UMULLO(r[1],a[1],b); \ + MADDO(r[1], a[0],b,r[1]); \ + UMULLO(r[2],a[2], b); \ + MADDC(r[2], a[1], b, r[2]); \ + UMULLO(r[3],a[3], b); \ + MADDC(r[3], a[2], b, r[3]); \ + MADD(r[4], a[3], b, 0ULL);} + + +#define UMultSpecial(r, a) {\ + uint64_t temp; /* Dichiarazione di temp qui */\ + r[0] = (a[0] << 32) + (a[0] << 9) + (a[0] << 8) + (a[0] << 7) + (a[0] << 6) + (a[0] << 4) + a[0]; \ + r[1] = (a[1] << 32) + (a[1] << 9) + (a[1] << 8) + (a[1] << 7) + (a[1] << 6) + (a[1] << 4) + a[1]; \ + MADDO(r[1], a[0], 0x1000003D1ULL, r[1]); \ + r[2] = (a[2] << 32) + (a[2] << 9) + (a[2] << 8) + (a[2] << 7) + (a[2] << 6) + (a[2] << 4) + a[2]; \ + MADDC(r[2], a[1], 0x1000003D1ULL, r[2]); \ + r[3] = (a[3] << 32) + (a[3] << 9) + (a[3] << 8) + (a[3] << 7) + (a[3] << 6) + (a[3] << 4) + a[3]; \ + temp = r[3]; \ + MADDC(r[3], a[2], 0x1000003D1ULL, r[3]); \ + r[4] = temp + a[3]; \ + MADD(r[4], a[3], 0x1000003D1ULL, 0ULL); \ +} + + + + + +// --------------------------------------------------------------------------------------- + +#define Load(r, a) {\ + (r)[0] = (a)[0]; \ + (r)[1] = (a)[1]; \ + (r)[2] = (a)[2]; \ + (r)[3] = (a)[3]; \ + (r)[4] = (a)[4];} + +// --------------------------------------------------------------------------------------- + +#define _LoadI64(r, a) {\ + (r)[0] = a; \ + (r)[1] = a>>63; \ + (r)[2] = (r)[1]; \ + (r)[3] = (r)[1]; \ + (r)[4] = (r)[1];} +// --------------------------------------------------------------------------------------- + +#define Load256(r, a) {\ + (r)[0] = (a)[0]; \ + (r)[1] = (a)[1]; \ + (r)[2] = (a)[2]; \ + (r)[3] = (a)[3];} + +// --------------------------------------------------------------------------------------- + +#define Load256A(r, a) {\ + (r)[0] = (a)[IDX]; \ + (r)[1] = (a)[IDX+blockDim.x]; \ + (r)[2] = (a)[IDX+2*blockDim.x]; \ + (r)[3] = (a)[IDX+3*blockDim.x];} + +// --------------------------------------------------------------------------------------- + +#define Store256A(r, a) {\ + (r)[IDX] = (a)[0]; \ + (r)[IDX+blockDim.x] = (a)[1]; \ + (r)[IDX+2*blockDim.x] = (a)[2]; \ + (r)[IDX+3*blockDim.x] = (a)[3];} + +// --------------------------------------------------------------------------------------- + +__device__ void ShiftR62(uint64_t *r) { + + r[0] = (r[1] << 2) | (r[0] >> 62); + r[1] = (r[2] << 2) | (r[1] >> 62); + r[2] = (r[3] << 2) | (r[2] >> 62); + r[3] = (r[4] << 2) | (r[3] >> 62); + // With sign extent + r[4] = (int64_t)(r[4]) >> 62; + +} + +// --------------------------------------------------------------------------------------- + +__device__ void IMult(uint64_t* r, uint64_t* a, int64_t b) { + + uint64_t t[NBBLOCK]; + + // Make b positive + if (b < 0) { + b = -b; + USUBO(t[0], 0ULL, a[0]); + USUBC(t[1], 0ULL, a[1]); + USUBC(t[2], 0ULL, a[2]); + USUBC(t[3], 0ULL, a[3]); + USUB(t[4], 0ULL, a[4]); + } + else { + Load(t, a); + } + + UMULLO(r[0], t[0], b); + UMULLO(r[1], t[1], b); + MADDO(r[1], t[0], b, r[1]); + UMULLO(r[2], t[2], b); + MADDC(r[2], t[1], b, r[2]); + UMULLO(r[3], t[3], b); + MADDC(r[3], t[2], b, r[3]); + UMULLO(r[4], t[4], b); + MADD(r[4], t[3], b, r[4]); + +} + + + +// --------------------------------------------------------------------------------------- + +__device__ void MulP(uint64_t *r, uint64_t a) { + + uint64_t ah; + uint64_t al; + + UMULLO(al, a, 0x1000003D1ULL); + UMULHI(ah, a, 0x1000003D1ULL); + + USUBO(r[0], 0ULL, al); + USUBC(r[1], 0ULL, ah); + USUBC(r[2], 0ULL, 0ULL); + USUBC(r[3], 0ULL, 0ULL); + USUB(r[4], a, 0ULL); + +} + +// --------------------------------------------------------------------------------------- + +__device__ void ModNeg256(uint64_t* r,uint64_t* a) { + + uint64_t t[4]; + USUBO(t[0],0ULL,a[0]); + USUBC(t[1],0ULL,a[1]); + USUBC(t[2],0ULL,a[2]); + USUBC(t[3],0ULL,a[3]); + UADDO(r[0],t[0],0xFFFFFFFEFFFFFC2FULL); + UADDC(r[1],t[1],0xFFFFFFFFFFFFFFFFULL); + UADDC(r[2],t[2],0xFFFFFFFFFFFFFFFFULL); + UADD(r[3],t[3],0xFFFFFFFFFFFFFFFFULL); + +} + +// --------------------------------------------------------------------------------------- + +__device__ void ModNeg256(uint64_t* r) { + + uint64_t t[4]; + USUBO(t[0],0ULL,r[0]); + USUBC(t[1],0ULL,r[1]); + USUBC(t[2],0ULL,r[2]); + USUBC(t[3],0ULL,r[3]); + UADDO(r[0],t[0],0xFFFFFFFEFFFFFC2FULL); + UADDC(r[1],t[1],0xFFFFFFFFFFFFFFFFULL); + UADDC(r[2],t[2],0xFFFFFFFFFFFFFFFFULL); + UADD(r[3],t[3],0xFFFFFFFFFFFFFFFFULL); + +} + +// --------------------------------------------------------------------------------------- + + + +__device__ void ModSub256(uint64_t* r, uint64_t* a, uint64_t* b) { + uint64_t borrow; + uint64_t p[4] = { 0xFFFFFFFEFFFFFC2FULL, 0xFFFFFFFFFFFFFFFFULL, + 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL }; + + USUBO(r[0], a[0], b[0]); + USUBC(r[1], a[1], b[1]); + USUBC(r[2], a[2], b[2]); + USUBC(r[3], a[3], b[3]); + USUB(borrow, 0ULL, 0ULL); + + if (borrow) { + UADDO1(r[0], p[0]); + UADDC1(r[1], p[1]); + UADDC1(r[2], p[2]); + UADD1(r[3], p[3]); + } +} + + +__device__ void ModSub256(uint64_t* r, uint64_t* b) { + uint64_t borrow; + uint64_t p[4] = { 0xFFFFFFFEFFFFFC2FULL, 0xFFFFFFFFFFFFFFFFULL, + 0xFFFFFFFFFFFFFFFFULL, 0xFFFFFFFFFFFFFFFFULL }; + + USUBO1(r[0], b[0]); + USUBC1(r[1], b[1]); + USUBC1(r[2], b[2]); + USUBC1(r[3], b[3]); + USUB(borrow, 0ULL, 0ULL); + + if (borrow) { + UADDO1(r[0], p[0]); + UADDC1(r[1], p[1]); + UADDC1(r[2], p[2]); + UADD1(r[3], p[3]); + } +} + + +__device__ void ModSub256isOdd(uint64_t* a, uint64_t* b, uint8_t* parity) { //no need to compute py, we need only parity + + uint64_t t; + uint64_t T[4]; + + USUBO(T[0], a[0], b[0]); + USUBC(T[1], a[1], b[1]); + USUBC(T[2], a[2], b[2]); + USUBC(T[3], a[3], b[3]); + + USUB(t, 0ULL, 0ULL); // borrow + + *parity = (T[0] & 1) ^ (t & 1); // LSB of T[0] and LSB of t -> parity od sub +} + + + +// --------------------------------------------------------------------------------------- +// Compute a*b*(mod n) +// a and b must be lower than n +// --------------------------------------------------------------------------------------- + + +__device__ void _ModMult(uint64_t *r, uint64_t *a, uint64_t *b) { + + uint64_t r512[8]; + uint64_t t[NBBLOCK]; + uint64_t ah, al; + + r512[5] = 0; + r512[6] = 0; + r512[7] = 0; + + // 256*256 multiplier + UMult(r512, a, b[0]); + UMult(t, a, b[1]); + UADDO1(r512[1], t[0]); + UADDC1(r512[2], t[1]); + UADDC1(r512[3], t[2]); + UADDC1(r512[4], t[3]); + UADD1(r512[5], t[4]); + UMult(t, a, b[2]); + UADDO1(r512[2], t[0]); + UADDC1(r512[3], t[1]); + UADDC1(r512[4], t[2]); + UADDC1(r512[5], t[3]); + UADD1(r512[6], t[4]); + UMult(t, a, b[3]); + UADDO1(r512[3], t[0]); + UADDC1(r512[4], t[1]); + UADDC1(r512[5], t[2]); + UADDC1(r512[6], t[3]); + UADD1(r512[7], t[4]); + + // Reduce from 512 to 320 + //UMult(t, (r512 + 4), 0x1000003D1ULL); + UMultSpecial(t, (r512 + 4)); + UADDO1(r512[0], t[0]); + UADDC1(r512[1], t[1]); + UADDC1(r512[2], t[2]); + UADDC1(r512[3], t[3]); + + // Reduce from 320 to 256 + UADD1(t[4], 0ULL); + UMULLO(al, t[4], 0x1000003D1ULL); + UMULHI(ah, t[4], 0x1000003D1ULL); + UADDO(r[0], r512[0], al); + UADDC(r[1], r512[1], ah); + UADDC(r[2], r512[2], 0ULL); + UADD(r[3], r512[3], 0ULL); + +} + + + + +__device__ void _ModMult(uint64_t *r, uint64_t *a) { + + uint64_t r512[8]; + uint64_t t[NBBLOCK]; + uint64_t ah, al; + r512[5] = 0; + r512[6] = 0; + r512[7] = 0; + + // 256*256 multiplier + UMult(r512, a, r[0]); + UMult(t, a, r[1]); + UADDO1(r512[1], t[0]); + UADDC1(r512[2], t[1]); + UADDC1(r512[3], t[2]); + UADDC1(r512[4], t[3]); + UADD1(r512[5], t[4]); + UMult(t, a, r[2]); + UADDO1(r512[2], t[0]); + UADDC1(r512[3], t[1]); + UADDC1(r512[4], t[2]); + UADDC1(r512[5], t[3]); + UADD1(r512[6], t[4]); + UMult(t, a, r[3]); + UADDO1(r512[3], t[0]); + UADDC1(r512[4], t[1]); + UADDC1(r512[5], t[2]); + UADDC1(r512[6], t[3]); + UADD1(r512[7], t[4]); + + // Reduce from 512 to 320 + UMultSpecial(t, (r512 + 4)); + UADDO1(r512[0], t[0]); + UADDC1(r512[1], t[1]); + UADDC1(r512[2], t[2]); + UADDC1(r512[3], t[3]); + + // Reduce from 320 to 256 + UADD1(t[4], 0ULL); + UMULLO(al, t[4], 0x1000003D1ULL); + UMULHI(ah, t[4], 0x1000003D1ULL); + UADDO(r[0], r512[0], al); + UADDC(r[1], r512[1], ah); + UADDC(r[2], r512[2], 0ULL); + UADD(r[3], r512[3], 0ULL); + +} + + + + + + +__device__ void _ModSqr(uint64_t *rp, const uint64_t *up) { + + uint64_t r512[8]; + + uint64_t u10, u11; + + uint64_t r0; + uint64_t r1; + uint64_t r3; + uint64_t r4; + + uint64_t t1; + uint64_t t2; + + + //k=0 + UMULLO(r512[0], up[0], up[0]); + UMULHI(r1, up[0], up[0]); + + //k=1 + UMULLO(r3, up[0], up[1]); + UMULHI(r4, up[0], up[1]); + UADDO1(r3, r3); + UADDC1(r4, r4); + UADD(t1, 0x0ULL, 0x0ULL); + UADDO1(r3, r1); + UADDC1(r4, 0x0ULL); + UADD1(t1, 0x0ULL); + r512[1] = r3; + + //k=2 + UMULLO(r0, up[0], up[2]); + UMULHI(r1, up[0], up[2]); + UADDO1(r0, r0); + UADDC1(r1, r1); + UADD(t2, 0x0ULL, 0x0ULL); + UMULLO(u10, up[1], up[1]); + UMULHI(u11, up[1], up[1]); + UADDO1(r0, u10); + UADDC1(r1, u11); + UADD1(t2, 0x0ULL); + UADDO1(r0, r4); + UADDC1(r1, t1); + UADD1(t2, 0x0ULL); + + r512[2] = r0; + + //k=3 + UMULLO(r3, up[0], up[3]); + UMULHI(r4, up[0], up[3]); + UMULLO(u10, up[1], up[2]); + UMULHI(u11, up[1], up[2]); + UADDO1(r3, u10); + UADDC1(r4, u11); + UADD(t1, 0x0ULL, 0x0ULL); + t1 += t1; + UADDO1(r3, r3); + UADDC1(r4, r4); + UADD1(t1, 0x0ULL); + UADDO1(r3, r1); + UADDC1(r4, t2); + UADD1(t1, 0x0ULL); + + r512[3] = r3; + + //k=4 + UMULLO(r0, up[1], up[3]); + UMULHI(r1, up[1], up[3]); + UADDO1(r0, r0); + UADDC1(r1, r1); + UADD(t2, 0x0ULL, 0x0ULL); + UMULLO(u10, up[2], up[2]); + UMULHI(u11, up[2], up[2]); + UADDO1(r0, u10); + UADDC1(r1, u11); + UADD1(t2, 0x0ULL); + UADDO1(r0, r4); + UADDC1(r1, t1); + UADD1(t2, 0x0ULL); + + r512[4] = r0; + + //k=5 + UMULLO(r3, up[2], up[3]); + UMULHI(r4, up[2], up[3]); + UADDO1(r3, r3); + UADDC1(r4, r4); + UADD(t1, 0x0ULL, 0x0ULL); + UADDO1(r3, r1); + UADDC1(r4, t2); + UADD1(t1, 0x0ULL); + + r512[5] = r3; + + //k=6 + UMULLO(r0, up[3], up[3]); + UMULHI(r1, up[3], up[3]); + UADDO1(r0, r4); + UADD1(r1, t1); + r512[6] = r0; + + //k=7 + r512[7] = r1; + + + // Reduce from 512 to 320 + UMULLO(r0, r512[4], 0x1000003D1ULL); + UMULLO(r1, r512[5], 0x1000003D1ULL); + MADDO(r1, r512[4], 0x1000003D1ULL, r1); + UMULLO(t2, r512[6], 0x1000003D1ULL); + MADDC(t2, r512[5], 0x1000003D1ULL, t2); + UMULLO(r3, r512[7], 0x1000003D1ULL); + MADDC(r3, r512[6], 0x1000003D1ULL, r3); + MADD(r4, r512[7], 0x1000003D1ULL, 0ULL); + + UADDO1(r512[0], r0); + UADDC1(r512[1], r1); + UADDC1(r512[2], t2); + UADDC1(r512[3], r3); + + // Reduce from 320 to 256 + UADD1(r4, 0ULL); + UMULLO(u10, r4, 0x1000003D1ULL); + UMULHI(u11, r4, 0x1000003D1ULL); + UADDO(rp[0], r512[0], u10); + UADDC(rp[1], r512[1], u11); + UADDC(rp[2], r512[2], 0ULL); + UADD(rp[3], r512[3], 0ULL); + + +} + +// --------------------------------------------------------------------------------------- + +#define MADDS(r,a,b,c) asm volatile ("madc.hi.s64 %0, %1, %2, %3;" : "=l"(r) : "l"(a), "l"(b), "l"(c)); + +#define __sright128(a,b,n) ((a)>>(n))|((b)<<(64-(n))) +#define __sleft128(a,b,n) ((b)<<(n))|((a)>>(64-(n))) + +__device__ void ShiftR62(uint64_t dest[5], uint64_t r[5], uint64_t carry) { + + dest[0] = (r[1] << 2) | (r[0] >> 62); + dest[1] = (r[2] << 2) | (r[1] >> 62); + dest[2] = (r[3] << 2) | (r[2] >> 62); + dest[3] = (r[4] << 2) | (r[3] >> 62); + dest[4] = (carry << 2) | (r[4] >> 62); + +} + + +__device__ uint64_t IMultC(uint64_t* r, uint64_t* a, int64_t b) { + + uint64_t t[NBBLOCK]; + uint64_t carry; + + // Make b positive + if (b < 0) { + b = -b; + USUBO(t[0], 0ULL, a[0]); + USUBC(t[1], 0ULL, a[1]); + USUBC(t[2], 0ULL, a[2]); + USUBC(t[3], 0ULL, a[3]); + USUB(t[4], 0ULL, a[4]); + } + else { + Load(t, a); + } + + UMULLO(r[0], t[0], b); + UMULLO(r[1], t[1], b); + MADDO(r[1], t[0], b, r[1]); + UMULLO(r[2], t[2], b); + MADDC(r[2], t[1], b, r[2]); + UMULLO(r[3], t[3], b); + MADDC(r[3], t[2], b, r[3]); + UMULLO(r[4], t[4], b); + MADDC(r[4], t[3], b, r[4]); + MADDS(carry, t[4], b, 0ULL); + + return carry; + +} + +__device__ __forceinline__ uint32_t ctz(uint64_t x) { + uint32_t n; + asm("{\n\t" + " .reg .u64 tmp;\n\t" + " brev.b64 tmp, %1;\n\t" + " clz.b64 %0, tmp;\n\t" + "}" + : "=r"(n) : "l"(x)); + return n; +} + +// --------------------------------------------------------------------------------------- +#define SWAP(tmp,x,y) tmp = x; x = y; y = tmp; + + +__device__ void _DivStep62(uint64_t u[5], uint64_t v[5], + int32_t* pos, + int64_t* uu, int64_t* uv, + int64_t* vu, int64_t* vv) { + + + // u' = (uu*u + uv*v) >> bitCount + // v' = (vu*u + vv*v) >> bitCount + // Do not maintain a matrix for r and s, the number of + // 'added P' can be easily calculated + + *uu = 1; *uv = 0; + *vu = 0; *vv = 1; + + uint32_t bitCount = 62; + uint32_t zeros; + uint64_t u0 = u[0]; + uint64_t v0 = v[0]; + + // Extract 64 MSB of u and v + // u and v must be positive + uint64_t uh, vh; + int64_t w, x, y, z; + bitCount = 62; + + while (*pos > 0 && (u[*pos] | v[*pos]) == 0) (*pos)--; + if (*pos == 0) { + + uh = u[0]; + vh = v[0]; + + } + else { + + uint32_t s = __clzll(u[*pos] | v[*pos]); + if (s == 0) { + uh = u[*pos]; + vh = v[*pos]; + } + else { + uh = __sleft128(u[*pos - 1], u[*pos], s); + vh = __sleft128(v[*pos - 1], v[*pos], s); + } + + } + + + while (true) { + + // Use a sentinel bit to count zeros only up to bitCount + zeros = ctz(v0 | (1ULL << bitCount)); + + v0 >>= zeros; + vh >>= zeros; + *uu <<= zeros; + *uv <<= zeros; + bitCount -= zeros; + + if (bitCount == 0) + break; + + if (vh < uh) { + SWAP(w, uh, vh); + SWAP(x, u0, v0); + SWAP(y, *uu, *vu); + SWAP(z, *uv, *vv); + } + + vh -= uh; + v0 -= u0; + *vv -= *uv; + *vu -= *uu; + + } + +} + +__device__ void MatrixVecMulHalf(uint64_t dest[5], uint64_t u[5], uint64_t v[5], int64_t _11, int64_t _12, uint64_t* carry) { + + uint64_t t1[NBBLOCK]; + uint64_t t2[NBBLOCK]; + uint64_t c1, c2; + + c1 = IMultC(t1, u, _11); + c2 = IMultC(t2, v, _12); + + UADDO(dest[0], t1[0], t2[0]); + UADDC(dest[1], t1[1], t2[1]); + UADDC(dest[2], t1[2], t2[2]); + UADDC(dest[3], t1[3], t2[3]); + UADDC(dest[4], t1[4], t2[4]); + UADD(*carry, c1, c2); + +} + +__device__ void MatrixVecMul(uint64_t u[5], uint64_t v[5], int64_t _11, int64_t _12, int64_t _21, int64_t _22) { + + uint64_t t1[NBBLOCK]; + uint64_t t2[NBBLOCK]; + uint64_t t3[NBBLOCK]; + uint64_t t4[NBBLOCK]; + + IMult(t1, u, _11); + IMult(t2, v, _12); + IMult(t3, u, _21); + IMult(t4, v, _22); + + UADDO(u[0], t1[0], t2[0]); + UADDC(u[1], t1[1], t2[1]); + UADDC(u[2], t1[2], t2[2]); + UADDC(u[3], t1[3], t2[3]); + UADD(u[4], t1[4], t2[4]); + + UADDO(v[0], t3[0], t4[0]); + UADDC(v[1], t3[1], t4[1]); + UADDC(v[2], t3[2], t4[2]); + UADDC(v[3], t3[3], t4[3]); + UADD(v[4], t3[4], t4[4]); + +} + +__device__ uint64_t AddCh(uint64_t r[5], uint64_t a[5], uint64_t carry) { + + uint64_t carryOut; + + UADDO1(r[0], a[0]); + UADDC1(r[1], a[1]); + UADDC1(r[2], a[2]); + UADDC1(r[3], a[3]); + UADDC1(r[4], a[4]); + UADD(carryOut, carry, 0ULL); + + return carryOut; + +} + +__device__ __noinline__ void _ModInv(uint64_t* R) { + + // Compute modular inverse of R mop P (using 320bits signed integer) + // 0 < this < P , P must be odd + // Return 0 if no inverse + // See IntMod.cpp for more info. + + int64_t uu, uv, vu, vv; + uint64_t mr0, ms0; + int32_t pos = NBBLOCK - 1; + + uint64_t u[NBBLOCK]; + uint64_t v[NBBLOCK]; + uint64_t r[NBBLOCK]; + uint64_t s[NBBLOCK]; + uint64_t tr[NBBLOCK]; + uint64_t ts[NBBLOCK]; + uint64_t r0[NBBLOCK]; + uint64_t s0[NBBLOCK]; + uint64_t carryR; + uint64_t carryS; + + u[0] = 0xFFFFFFFEFFFFFC2F; + u[1] = 0xFFFFFFFFFFFFFFFF; + u[2] = 0xFFFFFFFFFFFFFFFF; + u[3] = 0xFFFFFFFFFFFFFFFF; + u[4] = 0; + Load(v, R); + r[0] = 0; s[0] = 1; + r[1] = 0; s[1] = 0; + r[2] = 0; s[2] = 0; + r[3] = 0; s[3] = 0; + r[4] = 0; s[4] = 0; + + // Delayed right shift 62bits + + // DivStep loop ------------------------------- + + while (true) { + + _DivStep62(u, v, &pos, &uu, &uv, &vu, &vv); + + MatrixVecMul(u, v, uu, uv, vu, vv); + + if (_IsNegative(u)) { + Neg(u); + uu = -uu; + uv = -uv; + } + if (_IsNegative(v)) { + Neg(v); + vu = -vu; + vv = -vv; + } + + ShiftR62(u); + ShiftR62(v); + + // Update r + MatrixVecMulHalf(tr, r, s, uu, uv, &carryR); + mr0 = (tr[0] * MM64) & MSK62; + MulP(r0, mr0); + carryR = AddCh(tr, r0, carryR); + + if (_IsZero(v)) { + + ShiftR62(r, tr, carryR); + break; + + } + else { + + // Update s + MatrixVecMulHalf(ts, r, s, vu, vv, &carryS); + ms0 = (ts[0] * MM64) & MSK62; + MulP(s0, ms0); + carryS = AddCh(ts, s0, carryS); + + } + + ShiftR62(r, tr, carryR); + ShiftR62(s, ts, carryS); + + } + + // u ends with gcd + if (!_IsOne(u)) { + // No inverse + R[0] = 0ULL; + R[1] = 0ULL; + R[2] = 0ULL; + R[3] = 0ULL; + R[4] = 0ULL; + return; + } + + while (_IsNegative(r)) + AddP(r); + while (!_IsNegative(r)) + SubP(r); + AddP(r); + + Load(R, r); + +} + + + + + + + + + + + + diff --git a/examples/cuda-fanout/vendor/vanity-search-bitcrack/LICENSE.txt b/examples/cuda-fanout/vendor/vanity-search-bitcrack/LICENSE.txt new file mode 100644 index 0000000..0ad25db --- /dev/null +++ b/examples/cuda-fanout/vendor/vanity-search-bitcrack/LICENSE.txt @@ -0,0 +1,661 @@ + GNU AFFERO GENERAL PUBLIC LICENSE + Version 3, 19 November 2007 + + Copyright (C) 2007 Free Software Foundation, Inc. + Everyone is permitted to copy and distribute verbatim copies + of this license document, but changing it is not allowed. + + Preamble + + The GNU Affero General Public License is a free, copyleft license for +software and other kinds of works, specifically designed to ensure +cooperation with the community in the case of network server software. + + The licenses for most software and other practical works are designed +to take away your freedom to share and change the works. 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If not, see . + +Also add information on how to contact you by electronic and paper mail. + + If your software can interact with users remotely through a computer +network, you should also make sure that it provides a way for users to +get its source. For example, if your program is a web application, its +interface could display a "Source" link that leads users to an archive +of the code. There are many ways you could offer source, and different +solutions will be better for different programs; see section 13 for the +specific requirements. + + You should also get your employer (if you work as a programmer) or school, +if any, to sign a "copyright disclaimer" for the program, if necessary. +For more information on this, and how to apply and follow the GNU AGPL, see +. diff --git a/examples/cuda-fanout/vendor/vanity-search-bitcrack/NOTICE b/examples/cuda-fanout/vendor/vanity-search-bitcrack/NOTICE new file mode 100644 index 0000000..5b828fe --- /dev/null +++ b/examples/cuda-fanout/vendor/vanity-search-bitcrack/NOTICE @@ -0,0 +1,39 @@ +NOTICE -- VanitySearch-Bitcrack vendored headers +================================================= + +Upstream source: + https://github.com/FixedPaul/VanitySearch-Bitcrack + Commit: 66e6f9deda607afc5eaf09731725664f0152fc92 + License: AGPL-3.0 (LICENSE.txt, vendored alongside) + +The FixedPaul fork in turn descends from JeanLucPons/VanitySearch +(https://github.com/JeanLucPons/VanitySearch, GPL-3.0). Each vendored +file carries its original "Copyright (c) 2019 Jean Luc PONS" header +verbatim per §4 of the license. + +Files vendored +-------------- + +GPUMath.h + secp256k1 field arithmetic for CUDA: 256-bit modular multiply, + square, inverse, subtract, negate. Inline PTX. Used as-is by our + secp256k1-batch-mul.cu kernel. + +What we do NOT vendor +--------------------- + +We do not copy GPUEngine.cu, GPUGroup.h, GPUCompute.h, GPUHash.h, +GPUBase58.h, GPUWildcard.h, RCGpuUtils.h, or any host-side .cpp file. + +Our kernel computes scalar-times-G via per-thread Jacobian +double-and-add with batched Z-inversion at the end — independent of +the upstream GRP_SIZE/Shamir keyspace-stride structure. We need only +GPUMath.h's field-arithmetic primitives, not the windowed-comb tables +or address-lookup pipeline. + +License effect +-------------- + +Our binary (secp256k1-batch-mul) is a combined work whose vendored +portions stay under AGPL-3.0. Our wrapper source (secp256k1-batch-mul.cu, +Makefile target, tests) ships under AGPL-3.0 to match.