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calc_addrs.cl
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/*
* Vanitygen, vanity bitcoin address generator
* Copyright (C) 2011 <[email protected]>
*
* Vanitygen is free software: you can redistribute it and/or modify
* it under the terms of the GNU Affero General Public License as published by
* the Free Software Foundation, either version 3 of the License, or
* any later version.
*
* Vanitygen 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 Affero General Public License for more details.
*
* You should have received a copy of the GNU Affero General Public License
* along with Vanitygen. If not, see <http://www.gnu.org/licenses/>.
*/
/*
* This file contains an OpenCL kernel for performing certain parts of
* the bitcoin address calculation process.
*
* Kernel: ec_add_grid
*
* Inputs:
* - Row: Array of (sequential) EC points
* - Column: Array of column increment EC points (= rowsize * Pgenerator)
*
* Steps:
* - Compute P = Row[x] + Column[y]
* P is computed as numerator/denominator components Pxj, Pyj, Pz
* Final values are: Px = Pxj / (Pz^2), Py = Pyj / (Pz^3)
*
* The modular inverse of Pz is required to compute Px and Py, and
* can be computed more efficiently in large batches. This is done in
* the next kernel heap_invert.
*
* - Store Pxj, Pyj to intermediate point buffer
* - Store Pz to z_heap
*
* Outputs:
* - Intermediate point buffer
* - Denominator buffer (z_heap)
*
* -------------------------------
* Kernel: heap_invert
*
* Inputs:
* - Denominator buffer (z_heap)
* - N = Batch size (power of 2)
*
* Steps:
* - Compute the product tree for N values in the denominator buffer
* - Compute the modular inverse of the root of the product tree
* - Multiply down the tree to compute the modular inverse of each leaf
*
* Outputs:
* - Modular inverse denominator buffer (z_heap)
*
* -------------------------------
* Kernel: hash_ec_point_get
*
* Inputs:
* - Intermediate point buffer
* - Modular inverse denominator buffer (z_heap)
*
* Steps:
* - Compute Px = Pxj * (1/Pz)^2
* - Compute Py = Pyj * (1/Pz)^3
* - Compute H = RIPEMD160(SHA256({0x02|0x03|0x04} | Px | Py?))
*
* Output:
* - Array of 20-byte address hash values
*
* -------------------------------
* Kernel: hash_ec_point_search_prefix
*
* Like hash_ec_point_get, but instead of storing the complete hash
* value to an output buffer, it searches a sorted list of ranges,
* and if a match is found, writes a flag to an output buffer.
*/
/* Byte-swapping and endianness */
#define bswap32(v) \
(((v) >> 24) | (((v) >> 8) & 0xff00) | \
(((v) << 8) & 0xff0000) | ((v) << 24))
#if __ENDIAN_LITTLE__ != 1
#define load_le32(v) bswap32(v)
#define load_be32(v) (v)
#else
#define load_le32(v) (v)
#define load_be32(v) bswap32(v)
#endif
/* Configuration -- maybe I shouldn't be passing this in preproc */
#ifdef COMPRESSED_ADDRESS
__constant bool compressed_address = 1;
#else
__constant bool compressed_address = 0;
#endif
/*
* Loop unrolling macros
*
* In most cases, preprocessor unrolling works best.
* The exception is NVIDIA's compiler, which seems to take unreasonably
* long to compile a loop with a larger iteration count, or a loop with
* a body of >50 PTX instructions, with preprocessor unrolling.
* However, it does not seem to take as long with pragma unroll, and
* produces good output.
*/
/* Explicit loop unrolling */
#define unroll_5(a) do { a(0) a(1) a(2) a(3) a(4) } while (0)
#define unroll_8(a) do { a(0) a(1) a(2) a(3) a(4) a(5) a(6) a(7) } while (0)
#define unroll_1_7(a) do { a(1) a(2) a(3) a(4) a(5) a(6) a(7) } while (0)
#define unroll_7(a) do { a(0) a(1) a(2) a(3) a(4) a(5) a(6) } while (0)
#define unroll_7_0(a) do { a(7) a(6) a(5) a(4) a(3) a(2) a(1) a(0) } while (0)
#define unroll_7_1(a) do { a(7) a(6) a(5) a(4) a(3) a(2) a(1) } while (0)
#define unroll_16(a) do { \
a(0) a(1) a(2) a(3) a(4) a(5) a(6) a(7) \
a(8) a(9) a(10) a(11) a(12) a(13) a(14) a(15) \
} while (0)
#define unroll_64(a) do { \
a(0) a(1) a(2) a(3) a(4) a(5) a(6) a(7) \
a(8) a(9) a(10) a(11) a(12) a(13) a(14) a(15) \
a(16) a(17) a(18) a(19) a(20) a(21) a(22) a(23) \
a(24) a(25) a(26) a(27) a(28) a(29) a(30) a(31) \
a(32) a(33) a(34) a(35) a(36) a(37) a(38) a(39) \
a(40) a(41) a(42) a(43) a(44) a(45) a(46) a(47) \
a(48) a(49) a(50) a(51) a(52) a(53) a(54) a(55) \
a(56) a(57) a(58) a(59) a(60) a(61) a(62) a(63) \
} while (0)
/* Conditional loop unrolling */
#if defined(DEEP_PREPROC_UNROLL)
#define iter_5(a) unroll_5(a)
#define iter_8(a) unroll_8(a)
#define iter_16(a) unroll_16(a)
#define iter_64(a) unroll_64(a)
#else
#define iter_5(a) do {int _i; for (_i = 0; _i < 5; _i++) { a(_i) }} while (0)
#define iter_8(a) do {int _i; for (_i = 0; _i < 8; _i++) { a(_i) }} while (0)
#define iter_16(a) do {int _i; for (_i = 0; _i < 16; _i++) { a(_i) }} while (0)
#define iter_64(a) do {int _i; for (_i = 0; _i < 64; _i++) { a(_i) }} while (0)
#endif
/*
* BIGNUM mini-library
* This module deals with fixed-size 256-bit bignums.
* Where modular arithmetic is performed, the SECP256k1 prime
* modulus (below) is assumed.
*
* Methods include:
* - bn_is_zero/bn_is_one/bn_is_odd/bn_is_even/bn_is_bit_set
* - bn_rshift[1]/bn_lshift[1]
* - bn_neg
* - bn_uadd/bn_uadd_p
* - bn_usub/bn_usub_p
*/
typedef uint bn_word;
#define BN_NBITS 256
#define BN_WSHIFT 5
#define BN_WBITS (1 << BN_WSHIFT)
#define BN_NWORDS ((BN_NBITS/8) / sizeof(bn_word))
#define BN_WORDMAX 0xffffffff
#define MODULUS_BYTES \
0xfffffc2f, 0xfffffffe, 0xffffffff, 0xffffffff, \
0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff
typedef struct {
bn_word d[BN_NWORDS];
} bignum;
__constant bn_word modulus[] = { MODULUS_BYTES };
__constant bignum bn_zero = {};
__constant bn_word mont_rr[BN_NWORDS] = { 0xe90a1, 0x7a2, 0x1, 0, };
__constant bn_word mont_n0[2] = { 0xd2253531, 0xd838091d };
#define bn_is_odd(bn) (bn.d[0] & 1)
#define bn_is_even(bn) (!bn_is_odd(bn))
#define bn_is_zero(bn) (!bn.d[0] && !bn.d[1] && !bn.d[2] && \
!bn.d[3] && !bn.d[4] && !bn.d[5] && \
!bn.d[6] && !bn.d[7])
#define bn_is_one(bn) ((bn.d[0] == 1) && !bn.d[1] && !bn.d[2] && \
!bn.d[3] && !bn.d[4] && !bn.d[5] && \
!bn.d[6] && !bn.d[7])
#define bn_is_bit_set(bn, n) \
((((bn_word*)&bn)[n >> BN_WSHIFT]) & (1 << (n & (BN_WBITS-1))))
#define bn_unroll(e) unroll_8(e)
#define bn_unroll_sf(e) unroll_1_7(e)
#define bn_unroll_sl(e) unroll_7(e)
#define bn_unroll_reverse(e) unroll_7_0(e)
#define bn_unroll_reverse_sl(e) unroll_7_1(e)
#define bn_unroll_arg(e, arg) \
e(arg, 0) e(arg, 1) e(arg, 2) e(arg, 3) \
e(arg, 4) e(arg, 5) e(arg, 6) e(arg, 7)
#define bn_unroll_arg_sf(e, arg) \
e(arg, 1) e(arg, 2) e(arg, 3) \
e(arg, 4) e(arg, 5) e(arg, 6) e(arg, 7)
#define bn_iter(e) iter_8(e)
/*
* Prototypes
*/
void bn_lshift1(bignum *bn);
void bn_rshift(bignum *bn, int shift);
void bn_rshift1(bignum *bn);
void bn_rshift1_2(bignum *bna, bignum *bnb);
int bn_ucmp_ge(bignum *a, bignum *b);
int bn_ucmp_ge_c(bignum *a, __constant bn_word *b);
void bn_neg(bignum *n);
bn_word bn_uadd_words_seq(bn_word *r, bn_word *a, bn_word *b);
bn_word bn_uadd_words_c_seq(bn_word *r, bn_word *a, __constant bn_word *b);
bn_word bn_usub_words_seq(bn_word *r, bn_word *a, bn_word *b);
bn_word bn_usub_words_c_seq(bn_word *r, bn_word *a, __constant bn_word *b);
bn_word bn_uadd_words_vliw(bn_word *r, bn_word *a, bn_word *b);
bn_word bn_uadd_words_c_vliw(bn_word *r, bn_word *a, __constant bn_word *b);
bn_word bn_usub_words_vliw(bn_word *r, bn_word *a, bn_word *b);
bn_word bn_usub_words_c_vliw(bn_word *r, bn_word *a, __constant bn_word *b);
void bn_mod_add(bignum *r, bignum *a, bignum *b);
void bn_mod_sub(bignum *r, bignum *a, bignum *b);
void bn_mod_lshift1(bignum *bn);
void bn_mul_mont(bignum *r, bignum *a, bignum *b);
void bn_from_mont(bignum *rb, bignum *b);
void bn_mod_inverse(bignum *r, bignum *n);
void sha2_256_init(uint *out);
void sha2_256_block(uint *out, uint *in);
void ripemd160_init(uint *out);
void ripemd160_block(uint *out, uint *in);
void hash_ec_point(uint *hash_out, __global bn_word *xy, __global bn_word *zip);
int hash160_ucmp_g(uint *a, __global uint *bound);
/*
* Bitwise shift
*/
void
bn_lshift1(bignum *bn)
{
#define bn_lshift1_inner1(i) \
bn->d[i] = (bn->d[i] << 1) | (bn->d[i-1] >> 31);
bn_unroll_reverse_sl(bn_lshift1_inner1);
bn->d[0] <<= 1;
}
void
bn_rshift(bignum *bn, int shift)
{
int wd, iws, iwr;
bn_word ihw, ilw;
iws = (shift & (BN_WBITS-1));
iwr = BN_WBITS - iws;
wd = (shift >> BN_WSHIFT);
ihw = (wd < BN_WBITS) ? bn->d[wd] : 0;
#define bn_rshift_inner1(i) \
wd++; \
ilw = ihw; \
ihw = (wd < BN_WBITS) ? bn->d[wd] : 0; \
bn->d[i] = (ilw >> iws) | (ihw << iwr);
bn_unroll_sl(bn_rshift_inner1);
bn->d[BN_NWORDS-1] = (ihw >> iws);
}
void
bn_rshift1(bignum *bn)
{
#define bn_rshift1_inner1(i) \
bn->d[i] = (bn->d[i+1] << 31) | (bn->d[i] >> 1);
bn_unroll_sl(bn_rshift1_inner1);
bn->d[BN_NWORDS-1] >>= 1;
}
void
bn_rshift1_2(bignum *bna, bignum *bnb)
{
#define bn_rshift1_2_inner1(i) \
bna->d[i] = (bna->d[i+1] << 31) | (bna->d[i] >> 1); \
bnb->d[i] = (bnb->d[i+1] << 31) | (bnb->d[i] >> 1);
bn_unroll_sl(bn_rshift1_2_inner1);
bna->d[BN_NWORDS-1] >>= 1;
bnb->d[BN_NWORDS-1] >>= 1;
}
/*
* Unsigned comparison
*/
int
bn_ucmp_ge(bignum *a, bignum *b)
{
int l = 0, g = 0;
#define bn_ucmp_ge_inner1(i) \
if (a->d[i] < b->d[i]) l |= (1 << i); \
if (a->d[i] > b->d[i]) g |= (1 << i);
bn_unroll_reverse(bn_ucmp_ge_inner1);
return (l > g) ? 0 : 1;
}
int
bn_ucmp_ge_c(bignum *a, __constant bn_word *b)
{
int l = 0, g = 0;
#define bn_ucmp_ge_c_inner1(i) \
if (a->d[i] < b[i]) l |= (1 << i); \
if (a->d[i] > b[i]) g |= (1 << i);
bn_unroll_reverse(bn_ucmp_ge_c_inner1);
return (l > g) ? 0 : 1;
}
/*
* Negate
*/
void
bn_neg(bignum *n)
{
int c = 1;
#define bn_neg_inner1(i) \
c = (n->d[i] = (~n->d[i]) + c) ? 0 : c;
bn_unroll(bn_neg_inner1);
}
/*
* Add/subtract
*/
#define bn_add_word(r, a, b, t, c) do { \
t = a + b; \
c = (t < a) ? 1 : 0; \
r = t; \
} while (0)
#define bn_addc_word(r, a, b, t, c) do { \
t = a + b + c; \
c = (t < a) ? 1 : ((c & (t == a)) ? 1 : 0); \
r = t; \
} while (0)
bn_word
bn_uadd_words_seq(bn_word *r, bn_word *a, bn_word *b)
{
bn_word t, c = 0;
#define bn_uadd_words_seq_inner1(i) \
bn_addc_word(r[i], a[i], b[i], t, c);
bn_add_word(r[0], a[0], b[0], t, c);
bn_unroll_sf(bn_uadd_words_seq_inner1);
return c;
}
bn_word
bn_uadd_words_c_seq(bn_word *r, bn_word *a, __constant bn_word *b)
{
bn_word t, c = 0;
bn_add_word(r[0], a[0], b[0], t, c);
bn_unroll_sf(bn_uadd_words_seq_inner1);
return c;
}
#define bn_sub_word(r, a, b, t, c) do { \
t = a - b; \
c = (a < b) ? 1 : 0; \
r = t; \
} while (0)
#define bn_subb_word(r, a, b, t, c) do { \
t = a - (b + c); \
c = (!(a) && c) ? 1 : 0; \
c |= (a < b) ? 1 : 0; \
r = t; \
} while (0)
bn_word
bn_usub_words_seq(bn_word *r, bn_word *a, bn_word *b)
{
bn_word t, c = 0;
#define bn_usub_words_seq_inner1(i) \
bn_subb_word(r[i], a[i], b[i], t, c);
bn_sub_word(r[0], a[0], b[0], t, c);
bn_unroll_sf(bn_usub_words_seq_inner1);
return c;
}
bn_word
bn_usub_words_c_seq(bn_word *r, bn_word *a, __constant bn_word *b)
{
bn_word t, c = 0;
bn_sub_word(r[0], a[0], b[0], t, c);
bn_unroll_sf(bn_usub_words_seq_inner1);
return c;
}
/*
* Add/subtract better suited for AMD's VLIW architecture
*/
bn_word
bn_uadd_words_vliw(bn_word *r, bn_word *a, bn_word *b)
{
bignum x;
bn_word c = 0, cp = 0;
#define bn_uadd_words_vliw_inner1(i) \
x.d[i] = a[i] + b[i];
#define bn_uadd_words_vliw_inner2(i) \
c |= (a[i] > x.d[i]) ? (1 << i) : 0; \
cp |= (!~x.d[i]) ? (1 << i) : 0;
#define bn_uadd_words_vliw_inner3(i) \
r[i] = x.d[i] + ((c >> i) & 1);
bn_unroll(bn_uadd_words_vliw_inner1);
bn_unroll(bn_uadd_words_vliw_inner2);
c = ((cp + (c << 1)) ^ cp);
r[0] = x.d[0];
bn_unroll_sf(bn_uadd_words_vliw_inner3);
return c >> BN_NWORDS;
}
bn_word
bn_uadd_words_c_vliw(bn_word *r, bn_word *a, __constant bn_word *b)
{
bignum x;
bn_word c = 0, cp = 0;
bn_unroll(bn_uadd_words_vliw_inner1);
bn_unroll(bn_uadd_words_vliw_inner2);
c = ((cp + (c << 1)) ^ cp);
r[0] = x.d[0];
bn_unroll_sf(bn_uadd_words_vliw_inner3);
return c >> BN_NWORDS;
}
bn_word
bn_usub_words_vliw(bn_word *r, bn_word *a, bn_word *b)
{
bignum x;
bn_word c = 0, cp = 0;
#define bn_usub_words_vliw_inner1(i) \
x.d[i] = a[i] - b[i];
#define bn_usub_words_vliw_inner2(i) \
c |= (a[i] < b[i]) ? (1 << i) : 0; \
cp |= (!x.d[i]) ? (1 << i) : 0;
#define bn_usub_words_vliw_inner3(i) \
r[i] = x.d[i] - ((c >> i) & 1);
bn_unroll(bn_usub_words_vliw_inner1);
bn_unroll(bn_usub_words_vliw_inner2);
c = ((cp + (c << 1)) ^ cp);
r[0] = x.d[0];
bn_unroll_sf(bn_usub_words_vliw_inner3);
return c >> BN_NWORDS;
}
bn_word
bn_usub_words_c_vliw(bn_word *r, bn_word *a, __constant bn_word *b)
{
bignum x;
bn_word c = 0, cp = 0;
bn_unroll(bn_usub_words_vliw_inner1);
bn_unroll(bn_usub_words_vliw_inner2);
c = ((cp + (c << 1)) ^ cp);
r[0] = x.d[0];
bn_unroll_sf(bn_usub_words_vliw_inner3);
return c >> BN_NWORDS;
}
#if defined(DEEP_VLIW)
#define bn_uadd_words bn_uadd_words_vliw
#define bn_uadd_words_c bn_uadd_words_c_vliw
#define bn_usub_words bn_usub_words_vliw
#define bn_usub_words_c bn_usub_words_c_vliw
#else
#define bn_uadd_words bn_uadd_words_seq
#define bn_uadd_words_c bn_uadd_words_c_seq
#define bn_usub_words bn_usub_words_seq
#define bn_usub_words_c bn_usub_words_c_seq
#endif
#define bn_uadd(r, a, b) bn_uadd_words((r)->d, (a)->d, (b)->d)
#define bn_uadd_c(r, a, b) bn_uadd_words_c((r)->d, (a)->d, b)
#define bn_usub(r, a, b) bn_usub_words((r)->d, (a)->d, (b)->d)
#define bn_usub_c(r, a, b) bn_usub_words_c((r)->d, (a)->d, b)
/*
* Modular add/sub
*/
void
bn_mod_add(bignum *r, bignum *a, bignum *b)
{
if (bn_uadd(r, a, b) ||
(bn_ucmp_ge_c(r, modulus)))
bn_usub_c(r, r, modulus);
}
void
bn_mod_sub(bignum *r, bignum *a, bignum *b)
{
if (bn_usub(r, a, b))
bn_uadd_c(r, r, modulus);
}
void
bn_mod_lshift1(bignum *bn)
{
bn_word c = (bn->d[BN_NWORDS-1] & 0x80000000);
bn_lshift1(bn);
if (c || (bn_ucmp_ge_c(bn, modulus)))
bn_usub_c(bn, bn, modulus);
}
/*
* Montgomery multiplication
*
* This includes normal multiplication of two "Montgomeryized"
* bignums, and bn_from_mont for de-Montgomeryizing a bignum.
*/
#define bn_mul_word(r, a, w, c, p, s) do { \
r = (a * w) + c; \
p = mul_hi(a, w); \
c = (r < c) ? p + 1 : p; \
} while (0)
#define bn_mul_add_word(r, a, w, c, p, s) do { \
s = r + c; \
p = mul_hi(a, w); \
r = (a * w) + s; \
c = (s < c) ? p + 1 : p; \
if (r < s) c++; \
} while (0)
void
bn_mul_mont(bignum *r, bignum *a, bignum *b)
{
bignum t;
bn_word tea, teb, c, p, s, m;
#if !defined(VERY_EXPENSIVE_BRANCHES)
uint q;
#endif
c = 0;
#define bn_mul_mont_inner1(j) \
bn_mul_word(t.d[j], a->d[j], b->d[0], c, p, s);
bn_unroll(bn_mul_mont_inner1);
tea = c;
teb = 0;
c = 0;
m = t.d[0] * mont_n0[0];
bn_mul_add_word(t.d[0], modulus[0], m, c, p, s);
#define bn_mul_mont_inner2(j) \
bn_mul_add_word(t.d[j], modulus[j], m, c, p, s); \
t.d[j-1] = t.d[j];
bn_unroll_sf(bn_mul_mont_inner2);
t.d[BN_NWORDS-1] = tea + c;
tea = teb + ((t.d[BN_NWORDS-1] < c) ? 1 : 0);
#define bn_mul_mont_inner3_1(i, j) \
bn_mul_add_word(t.d[j], a->d[j], b->d[i], c, p, s);
#define bn_mul_mont_inner3_2(i, j) \
bn_mul_add_word(t.d[j], modulus[j], m, c, p, s); \
t.d[j-1] = t.d[j];
#define bn_mul_mont_inner3(i) \
c = 0; \
bn_unroll_arg(bn_mul_mont_inner3_1, i); \
tea += c; \
teb = ((tea < c) ? 1 : 0); \
c = 0; \
m = t.d[0] * mont_n0[0]; \
bn_mul_add_word(t.d[0], modulus[0], m, c, p, s); \
bn_unroll_arg_sf(bn_mul_mont_inner3_2, i); \
t.d[BN_NWORDS-1] = tea + c; \
tea = teb + ((t.d[BN_NWORDS-1] < c) ? 1 : 0);
/*
* The outer loop here is quite long, and we won't unroll it
* unless VERY_EXPENSIVE_BRANCHES is set.
*/
#if defined(VERY_EXPENSIVE_BRANCHES)
bn_unroll_sf(bn_mul_mont_inner3);
c = tea | !bn_usub_c(r, &t, modulus);
if (!c)
*r = t;
#else
for (q = 1; q < BN_NWORDS; q++) {
bn_mul_mont_inner3(q);
}
c = tea || (t.d[BN_NWORDS-1] >= modulus[BN_NWORDS-1]);
if (c) {
c = tea | !bn_usub_c(r, &t, modulus);
if (c)
return;
}
*r = t;
#endif
}
void
bn_from_mont(bignum *rb, bignum *b)
{
#define WORKSIZE ((2*BN_NWORDS) + 1)
bn_word r[WORKSIZE];
bn_word m, c, p, s;
#if defined(PRAGMA_UNROLL)
int i;
#endif
/* Copy the input to the working area */
/* Zero the upper words */
#define bn_from_mont_inner1(i) \
r[i] = b->d[i];
#define bn_from_mont_inner2(i) \
r[BN_NWORDS+i] = 0;
bn_unroll(bn_from_mont_inner1);
bn_unroll(bn_from_mont_inner2);
r[WORKSIZE-1] = 0;
/* Multiply (long) by modulus */
#define bn_from_mont_inner3_1(i, j) \
bn_mul_add_word(r[i+j], modulus[j], m, c, p, s);
#if !defined(VERY_EXPENSIVE_BRANCHES)
#define bn_from_mont_inner3_2(i) \
if (r[BN_NWORDS + i] < c) \
r[BN_NWORDS + i + 1] += 1;
#else
#define bn_from_mont_inner3_2(i) \
r[BN_NWORDS + i + 1] += (r[BN_NWORDS + i] < c) ? 1 : 0;
#endif
#define bn_from_mont_inner3(i) \
m = r[i] * mont_n0[0]; \
c = 0; \
bn_unroll_arg(bn_from_mont_inner3_1, i); \
r[BN_NWORDS + i] += c; \
bn_from_mont_inner3_2(i)
/*
* The outer loop here is not very long, so we will unroll
* it by default. However, it's just complicated enough to
* cause NVIDIA's compiler to take unreasonably long to compile
* it, unless we use pragma unroll.
*/
#if !defined(PRAGMA_UNROLL)
bn_iter(bn_from_mont_inner3);
#else
#pragma unroll 8
for (i = 0; i < BN_NWORDS; i++) { bn_from_mont_inner3(i) }
#endif
/*
* Make sure the result is less than the modulus.
* Subtracting is not much more expensive than compare, so
* subtract always and assign based on the carry out value.
*/
c = bn_usub_words_c(rb->d, &r[BN_NWORDS], modulus);
if (c) {
#define bn_from_mont_inner4(i) \
rb->d[i] = r[BN_NWORDS + i];
bn_unroll(bn_from_mont_inner4);
}
}
/*
* Modular inversion
*/
void
bn_mod_inverse(bignum *r, bignum *n)
{
bignum a, b, x, y;
uint shift;
bn_word xc, yc;
for (shift = 0; shift < BN_NWORDS; shift++) {
a.d[shift] = modulus[shift];
x.d[shift] = 0;
y.d[shift] = 0;
}
b = *n;
x.d[0] = 1;
xc = 0;
yc = 0;
while (!bn_is_zero(b)) {
shift = 0;
while (!bn_is_odd(b)) {
if (bn_is_odd(x))
xc += bn_uadd_c(&x, &x, modulus);
bn_rshift1_2(&x, &b);
x.d[7] |= (xc << 31);
xc >>= 1;
}
while (!bn_is_odd(a)) {
if (bn_is_odd(y))
yc += bn_uadd_c(&y, &y, modulus);
bn_rshift1_2(&y, &a);
y.d[7] |= (yc << 31);
yc >>= 1;
}
if (bn_ucmp_ge(&b, &a)) {
xc += yc + bn_uadd(&x, &x, &y);
bn_usub(&b, &b, &a);
} else {
yc += xc + bn_uadd(&y, &y, &x);
bn_usub(&a, &a, &b);
}
}
if (!bn_is_one(a)) {
/* no modular inverse */
*r = bn_zero;
} else {
/* Compute y % m as cheaply as possible */
while (yc < 0x80000000)
yc -= bn_usub_c(&y, &y, modulus);
bn_neg(&y);
*r = y;
}
}
/*
* HASH FUNCTIONS
*
* BYTE ORDER NOTE: None of the hash functions below deal with byte
* order. The caller is expected to be aware of this when it stuffs
* data into in the native integer.
*
* NOTE #2: Endianness of the OpenCL device makes no difference here.
*/
#define hash256_unroll(a) unroll_8(a)
#define hash160_unroll(a) unroll_5(a)
#define hash256_iter(a) iter_8(a)
#define hash160_iter(a) iter_5(a)
/*
* SHA-2 256
*
* CAUTION: Input buffer will be overwritten/mangled.
* Data expected in big-endian format.
* This implementation is designed for space efficiency more than
* raw speed.
*/
__constant uint sha2_init[8] = {
0x6a09e667, 0xbb67ae85, 0x3c6ef372, 0xa54ff53a,
0x510e527f, 0x9b05688c, 0x1f83d9ab, 0x5be0cd19
};
__constant uint sha2_k[64] = {
0x428a2f98, 0x71374491, 0xb5c0fbcf, 0xe9b5dba5,
0x3956c25b, 0x59f111f1, 0x923f82a4, 0xab1c5ed5,
0xd807aa98, 0x12835b01, 0x243185be, 0x550c7dc3,
0x72be5d74, 0x80deb1fe, 0x9bdc06a7, 0xc19bf174,
0xe49b69c1, 0xefbe4786, 0x0fc19dc6, 0x240ca1cc,
0x2de92c6f, 0x4a7484aa, 0x5cb0a9dc, 0x76f988da,
0x983e5152, 0xa831c66d, 0xb00327c8, 0xbf597fc7,
0xc6e00bf3, 0xd5a79147, 0x06ca6351, 0x14292967,
0x27b70a85, 0x2e1b2138, 0x4d2c6dfc, 0x53380d13,
0x650a7354, 0x766a0abb, 0x81c2c92e, 0x92722c85,
0xa2bfe8a1, 0xa81a664b, 0xc24b8b70, 0xc76c51a3,
0xd192e819, 0xd6990624, 0xf40e3585, 0x106aa070,
0x19a4c116, 0x1e376c08, 0x2748774c, 0x34b0bcb5,
0x391c0cb3, 0x4ed8aa4a, 0x5b9cca4f, 0x682e6ff3,
0x748f82ee, 0x78a5636f, 0x84c87814, 0x8cc70208,
0x90befffa, 0xa4506ceb, 0xbef9a3f7, 0xc67178f2
};
void
sha2_256_init(uint *out)
{
#define sha2_256_init_inner_1(i) \
out[i] = sha2_init[i];
hash256_unroll(sha2_256_init_inner_1);
}
/* The state variable remapping is really contorted */
#define sha2_stvar(vals, i, v) vals[(64+v-i) % 8]
#define sha2_s0(a) (rotate(a, 30U) ^ rotate(a, 19U) ^ rotate(a, 10U))
#define sha2_s1(a) (rotate(a, 26U) ^ rotate(a, 21U) ^ rotate(a, 7U))
#if defined(AMD_BFI_INT)
#pragma OPENCL EXTENSION cl_amd_media_ops : enable
#define sha2_ch(a, b, c) amd_bytealign(a, b, c)
#define sha2_ma(a, b, c) amd_bytealign((a^c), b, a)
#else
#define sha2_ch(a, b, c) (c ^ (a & (b ^ c)))
#define sha2_ma(a, b, c) ((a & c) | (b & (a | c)))
#endif
void
sha2_256_block(uint *out, uint *in)
{
uint state[8], t1, t2;
#if defined(PRAGMA_UNROLL)
int i;
#endif
#define sha2_256_block_inner_1(i) \
state[i] = out[i];
hash256_unroll(sha2_256_block_inner_1);
#define sha2_256_block_inner_2(i) \
if (i >= 16) { \
t1 = in[(i + 1) % 16]; \
t2 = in[(i + 14) % 16]; \
in[i % 16] += (in[(i + 9) % 16] + \
(rotate(t1, 25U) ^ rotate(t1, 14U) ^ (t1 >> 3)) + \
(rotate(t2, 15U) ^ rotate(t2, 13U) ^ (t2 >> 10))); \
} \
t1 = (sha2_stvar(state, i, 7) + \
sha2_s1(sha2_stvar(state, i, 4)) + \
sha2_ch(sha2_stvar(state, i, 4), \
sha2_stvar(state, i, 5), \
sha2_stvar(state, i, 6)) + \
sha2_k[i] + \
in[i % 16]); \
t2 = (sha2_s0(sha2_stvar(state, i, 0)) + \
sha2_ma(sha2_stvar(state, i, 0), \
sha2_stvar(state, i, 1), \
sha2_stvar(state, i, 2))); \
sha2_stvar(state, i, 3) += t1; \
sha2_stvar(state, i, 7) = t1 + t2; \
#if !defined(PRAGMA_UNROLL)
iter_64(sha2_256_block_inner_2);
#else
#pragma unroll 64
for (i = 0; i < 64; i++) { sha2_256_block_inner_2(i) }
#endif
#define sha2_256_block_inner_3(i) \
out[i] += state[i];
hash256_unroll(sha2_256_block_inner_3);
}
/*
* RIPEMD160
*
* Data expected in little-endian format.
*/
__constant uint ripemd160_iv[] = {
0x67452301, 0xEFCDAB89, 0x98BADCFE, 0x10325476, 0xC3D2E1F0 };
__constant uint ripemd160_k[] = {
0x00000000, 0x5A827999, 0x6ED9EBA1, 0x8F1BBCDC, 0xA953FD4E };
__constant uint ripemd160_kp[] = {
0x50A28BE6, 0x5C4DD124, 0x6D703EF3, 0x7A6D76E9, 0x00000000 };
__constant uchar ripemd160_ws[] = {
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15,
7, 4, 13, 1, 10, 6, 15, 3, 12, 0, 9, 5, 2, 14, 11, 8,
3, 10, 14, 4, 9, 15, 8, 1, 2, 7, 0, 6, 13, 11, 5, 12,
1, 9, 11, 10, 0, 8, 12, 4, 13, 3, 7, 15, 14, 5, 6, 2,
4, 0, 5, 9, 7, 12, 2, 10, 14, 1, 3, 8, 11, 6, 15, 13,
};
__constant uchar ripemd160_wsp[] = {
5, 14, 7, 0, 9, 2, 11, 4, 13, 6, 15, 8, 1, 10, 3, 12,
6, 11, 3, 7, 0, 13, 5, 10, 14, 15, 8, 12, 4, 9, 1, 2,
15, 5, 1, 3, 7, 14, 6, 9, 11, 8, 12, 2, 10, 0, 4, 13,
8, 6, 4, 1, 3, 11, 15, 0, 5, 12, 2, 13, 9, 7, 10, 14,
12, 15, 10, 4, 1, 5, 8, 7, 6, 2, 13, 14, 0, 3, 9, 11
};
__constant uchar ripemd160_rl[] = {
11, 14, 15, 12, 5, 8, 7, 9, 11, 13, 14, 15, 6, 7, 9, 8,
7, 6, 8, 13, 11, 9, 7, 15, 7, 12, 15, 9, 11, 7, 13, 12,
11, 13, 6, 7, 14, 9, 13, 15, 14, 8, 13, 6, 5, 12, 7, 5,
11, 12, 14, 15, 14, 15, 9, 8, 9, 14, 5, 6, 8, 6, 5, 12,
9, 15, 5, 11, 6, 8, 13, 12, 5, 12, 13, 14, 11, 8, 5, 6,
};
__constant uchar ripemd160_rlp[] = {
8, 9, 9, 11, 13, 15, 15, 5, 7, 7, 8, 11, 14, 14, 12, 6,
9, 13, 15, 7, 12, 8, 9, 11, 7, 7, 12, 7, 6, 15, 13, 11,
9, 7, 15, 11, 8, 6, 6, 14, 12, 13, 5, 14, 13, 13, 7, 5,
15, 5, 8, 11, 14, 14, 6, 14, 6, 9, 12, 9, 12, 5, 15, 8,
8, 5, 12, 9, 12, 5, 14, 6, 8, 13, 6, 5, 15, 13, 11, 11
};
#define ripemd160_val(v, i, n) (v)[(80+(n)-(i)) % 5]
#define ripemd160_valp(v, i, n) (v)[5 + ((80+(n)-(i)) % 5)]
#if defined(AMD_BFI_INT)
#define ripemd160_f0(x, y, z) (x ^ y ^ z)
#define ripemd160_f1(x, y, z) amd_bytealign(x, y, z)
#define ripemd160_f2(x, y, z) (z ^ (x | ~y))
#define ripemd160_f3(x, y, z) amd_bytealign(z, x, y)
#define ripemd160_f4(x, y, z) (x ^ (y | ~z))
#else
#define ripemd160_f0(x, y, z) (x ^ y ^ z)
#define ripemd160_f1(x, y, z) ((x & y) | (~x & z))
#define ripemd160_f2(x, y, z) (z ^ (x | ~y))
#define ripemd160_f3(x, y, z) ((x & z) | (y & ~z))
#define ripemd160_f4(x, y, z) (x ^ (y | ~z))
#endif
#define ripemd160_round(i, in, vals, f, fp, t) do { \
ripemd160_val(vals, i, 0) = \
rotate(ripemd160_val(vals, i, 0) + \
f(ripemd160_val(vals, i, 1), \
ripemd160_val(vals, i, 2), \
ripemd160_val(vals, i, 3)) + \
in[ripemd160_ws[i]] + \
ripemd160_k[i / 16], \
(uint)ripemd160_rl[i]) + \
ripemd160_val(vals, i, 4); \
ripemd160_val(vals, i, 2) = \
rotate(ripemd160_val(vals, i, 2), 10U); \
ripemd160_valp(vals, i, 0) = \
rotate(ripemd160_valp(vals, i, 0) + \
fp(ripemd160_valp(vals, i, 1), \
ripemd160_valp(vals, i, 2), \
ripemd160_valp(vals, i, 3)) + \
in[ripemd160_wsp[i]] + \
ripemd160_kp[i / 16], \
(uint)ripemd160_rlp[i]) + \
ripemd160_valp(vals, i, 4); \
ripemd160_valp(vals, i, 2) = \
rotate(ripemd160_valp(vals, i, 2), 10U); \
} while (0)
void
ripemd160_init(uint *out)
{
#define ripemd160_init_inner_1(i) \
out[i] = ripemd160_iv[i];
hash160_unroll(ripemd160_init_inner_1);
}
void
ripemd160_block(uint *out, uint *in)
{
uint vals[10], t;
#if defined(PRAGMA_UNROLL)
int i;
#endif
#define ripemd160_block_inner_1(i) \
vals[i] = vals[i + 5] = out[i];
hash160_unroll(ripemd160_block_inner_1);
#define ripemd160_block_inner_p0(i) \
ripemd160_round(i, in, vals, \
ripemd160_f0, ripemd160_f4, t);
#define ripemd160_block_inner_p1(i) \
ripemd160_round((16 + i), in, vals, \
ripemd160_f1, ripemd160_f3, t);
#define ripemd160_block_inner_p2(i) \
ripemd160_round((32 + i), in, vals, \
ripemd160_f2, ripemd160_f2, t);
#define ripemd160_block_inner_p3(i) \
ripemd160_round((48 + i), in, vals, \
ripemd160_f3, ripemd160_f1, t);
#define ripemd160_block_inner_p4(i) \
ripemd160_round((64 + i), in, vals, \
ripemd160_f4, ripemd160_f0, t);
#if !defined(PRAGMA_UNROLL)
iter_16(ripemd160_block_inner_p0);
iter_16(ripemd160_block_inner_p1);
iter_16(ripemd160_block_inner_p2);
iter_16(ripemd160_block_inner_p3);
iter_16(ripemd160_block_inner_p4);
#else
#pragma unroll 16
for (i = 0; i < 16; i++) { ripemd160_block_inner_p0(i); }
#pragma unroll 16
for (i = 0; i < 16; i++) { ripemd160_block_inner_p1(i); }