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-rw-r--r--src/secp256k1/build-aux/m4/bitcoin_secp.m42
-rw-r--r--src/secp256k1/include/secp256k1.h6
-rw-r--r--src/secp256k1/sage/prove_group_implementations.sage77
-rw-r--r--src/secp256k1/src/bench_internal.c10
-rw-r--r--src/secp256k1/src/group_impl.h99
5 files changed, 111 insertions, 83 deletions
diff --git a/src/secp256k1/build-aux/m4/bitcoin_secp.m4 b/src/secp256k1/build-aux/m4/bitcoin_secp.m4
index dda770e001..9cb54de098 100644
--- a/src/secp256k1/build-aux/m4/bitcoin_secp.m4
+++ b/src/secp256k1/build-aux/m4/bitcoin_secp.m4
@@ -1,7 +1,7 @@
dnl escape "$0x" below using the m4 quadrigaph @S|@, and escape it again with a \ for the shell.
AC_DEFUN([SECP_64BIT_ASM_CHECK],[
AC_MSG_CHECKING(for x86_64 assembly availability)
-AC_COMPILE_IFELSE([AC_LANG_PROGRAM([[
+AC_LINK_IFELSE([AC_LANG_PROGRAM([[
#include <stdint.h>]],[[
uint64_t a = 11, tmp;
__asm__ __volatile__("movq \@S|@0x100000000,%1; mulq %%rsi" : "+a"(a) : "S"(tmp) : "cc", "%rdx");
diff --git a/src/secp256k1/include/secp256k1.h b/src/secp256k1/include/secp256k1.h
index 86ab7e556d..dddab346ae 100644
--- a/src/secp256k1/include/secp256k1.h
+++ b/src/secp256k1/include/secp256k1.h
@@ -141,9 +141,13 @@ typedef int (*secp256k1_nonce_function)(
# define SECP256K1_NO_BUILD
#endif
+/** At secp256k1 build-time DLL_EXPORT is defined when building objects destined
+ * for a shared library, but not for those intended for static libraries.
+ */
+
#ifndef SECP256K1_API
# if defined(_WIN32)
-# ifdef SECP256K1_BUILD
+# if defined(SECP256K1_BUILD) && defined(DLL_EXPORT)
# define SECP256K1_API __declspec(dllexport)
# else
# define SECP256K1_API
diff --git a/src/secp256k1/sage/prove_group_implementations.sage b/src/secp256k1/sage/prove_group_implementations.sage
index 96ce33506a..652bd87f11 100644
--- a/src/secp256k1/sage/prove_group_implementations.sage
+++ b/src/secp256k1/sage/prove_group_implementations.sage
@@ -40,29 +40,26 @@ def formula_secp256k1_gej_add_var(branch, a, b):
s2 = s2 * a.Z
h = -u1
h = h + u2
- i = -s1
- i = i + s2
+ i = -s2
+ i = i + s1
if branch == 2:
r = formula_secp256k1_gej_double_var(a)
return (constraints(), constraints(zero={h : 'h=0', i : 'i=0', a.Infinity : 'a_finite', b.Infinity : 'b_finite'}), r)
if branch == 3:
return (constraints(), constraints(zero={h : 'h=0', a.Infinity : 'a_finite', b.Infinity : 'b_finite'}, nonzero={i : 'i!=0'}), point_at_infinity())
- i2 = i^2
+ t = h * b.Z
+ rz = a.Z * t
h2 = h^2
+ h2 = -h2
h3 = h2 * h
- h = h * b.Z
- rz = a.Z * h
t = u1 * h2
- rx = t
- rx = rx * 2
+ rx = i^2
rx = rx + h3
- rx = -rx
- rx = rx + i2
- ry = -rx
- ry = ry + t
- ry = ry * i
+ rx = rx + t
+ rx = rx + t
+ t = t + rx
+ ry = t * i
h3 = h3 * s1
- h3 = -h3
ry = ry + h3
return (constraints(), constraints(zero={a.Infinity : 'a_finite', b.Infinity : 'b_finite'}, nonzero={h : 'h!=0'}), jacobianpoint(rx, ry, rz))
@@ -80,28 +77,25 @@ def formula_secp256k1_gej_add_ge_var(branch, a, b):
s2 = s2 * a.Z
h = -u1
h = h + u2
- i = -s1
- i = i + s2
+ i = -s2
+ i = i + s1
if (branch == 2):
r = formula_secp256k1_gej_double_var(a)
return (constraints(zero={b.Z - 1 : 'b.z=1'}), constraints(zero={a.Infinity : 'a_finite', b.Infinity : 'b_finite', h : 'h=0', i : 'i=0'}), r)
if (branch == 3):
return (constraints(zero={b.Z - 1 : 'b.z=1'}), constraints(zero={a.Infinity : 'a_finite', b.Infinity : 'b_finite', h : 'h=0'}, nonzero={i : 'i!=0'}), point_at_infinity())
- i2 = i^2
- h2 = h^2
- h3 = h * h2
rz = a.Z * h
+ h2 = h^2
+ h2 = -h2
+ h3 = h2 * h
t = u1 * h2
- rx = t
- rx = rx * 2
+ rx = i^2
rx = rx + h3
- rx = -rx
- rx = rx + i2
- ry = -rx
- ry = ry + t
- ry = ry * i
+ rx = rx + t
+ rx = rx + t
+ t = t + rx
+ ry = t * i
h3 = h3 * s1
- h3 = -h3
ry = ry + h3
return (constraints(zero={b.Z - 1 : 'b.z=1'}), constraints(zero={a.Infinity : 'a_finite', b.Infinity : 'b_finite'}, nonzero={h : 'h!=0'}), jacobianpoint(rx, ry, rz))
@@ -109,14 +103,15 @@ def formula_secp256k1_gej_add_zinv_var(branch, a, b):
"""libsecp256k1's secp256k1_gej_add_zinv_var"""
bzinv = b.Z^(-1)
if branch == 0:
- return (constraints(), constraints(nonzero={b.Infinity : 'b_infinite'}), a)
- if branch == 1:
+ rinf = b.Infinity
bzinv2 = bzinv^2
bzinv3 = bzinv2 * bzinv
rx = b.X * bzinv2
ry = b.Y * bzinv3
rz = 1
- return (constraints(), constraints(zero={b.Infinity : 'b_finite'}, nonzero={a.Infinity : 'a_infinite'}), jacobianpoint(rx, ry, rz))
+ return (constraints(), constraints(nonzero={a.Infinity : 'a_infinite'}), jacobianpoint(rx, ry, rz, rinf))
+ if branch == 1:
+ return (constraints(), constraints(zero={a.Infinity : 'a_finite'}, nonzero={b.Infinity : 'b_infinite'}), a)
azz = a.Z * bzinv
z12 = azz^2
u1 = a.X
@@ -126,29 +121,25 @@ def formula_secp256k1_gej_add_zinv_var(branch, a, b):
s2 = s2 * azz
h = -u1
h = h + u2
- i = -s1
- i = i + s2
+ i = -s2
+ i = i + s1
if branch == 2:
r = formula_secp256k1_gej_double_var(a)
return (constraints(), constraints(zero={a.Infinity : 'a_finite', b.Infinity : 'b_finite', h : 'h=0', i : 'i=0'}), r)
if branch == 3:
return (constraints(), constraints(zero={a.Infinity : 'a_finite', b.Infinity : 'b_finite', h : 'h=0'}, nonzero={i : 'i!=0'}), point_at_infinity())
- i2 = i^2
+ rz = a.Z * h
h2 = h^2
- h3 = h * h2
- rz = a.Z
- rz = rz * h
+ h2 = -h2
+ h3 = h2 * h
t = u1 * h2
- rx = t
- rx = rx * 2
+ rx = i^2
rx = rx + h3
- rx = -rx
- rx = rx + i2
- ry = -rx
- ry = ry + t
- ry = ry * i
+ rx = rx + t
+ rx = rx + t
+ t = t + rx
+ ry = t * i
h3 = h3 * s1
- h3 = -h3
ry = ry + h3
return (constraints(), constraints(zero={a.Infinity : 'a_finite', b.Infinity : 'b_finite'}, nonzero={h : 'h!=0'}), jacobianpoint(rx, ry, rz))
diff --git a/src/secp256k1/src/bench_internal.c b/src/secp256k1/src/bench_internal.c
index 3c145f306c..7eb3af28d7 100644
--- a/src/secp256k1/src/bench_internal.c
+++ b/src/secp256k1/src/bench_internal.c
@@ -254,6 +254,15 @@ void bench_group_add_affine_var(void* arg, int iters) {
}
}
+void bench_group_add_zinv_var(void* arg, int iters) {
+ int i;
+ bench_inv *data = (bench_inv*)arg;
+
+ for (i = 0; i < iters; i++) {
+ secp256k1_gej_add_zinv_var(&data->gej[0], &data->gej[0], &data->ge[1], &data->gej[0].y);
+ }
+}
+
void bench_group_to_affine_var(void* arg, int iters) {
int i;
bench_inv *data = (bench_inv*)arg;
@@ -376,6 +385,7 @@ int main(int argc, char **argv) {
if (d || have_flag(argc, argv, "group") || have_flag(argc, argv, "add")) run_benchmark("group_add_var", bench_group_add_var, bench_setup, NULL, &data, 10, iters*10);
if (d || have_flag(argc, argv, "group") || have_flag(argc, argv, "add")) run_benchmark("group_add_affine", bench_group_add_affine, bench_setup, NULL, &data, 10, iters*10);
if (d || have_flag(argc, argv, "group") || have_flag(argc, argv, "add")) run_benchmark("group_add_affine_var", bench_group_add_affine_var, bench_setup, NULL, &data, 10, iters*10);
+ if (d || have_flag(argc, argv, "group") || have_flag(argc, argv, "add")) run_benchmark("group_add_zinv_var", bench_group_add_zinv_var, bench_setup, NULL, &data, 10, iters*10);
if (d || have_flag(argc, argv, "group") || have_flag(argc, argv, "to_affine")) run_benchmark("group_to_affine_var", bench_group_to_affine_var, bench_setup, NULL, &data, 10, iters);
if (d || have_flag(argc, argv, "ecmult") || have_flag(argc, argv, "wnaf")) run_benchmark("wnaf_const", bench_wnaf_const, bench_setup, NULL, &data, 10, iters);
diff --git a/src/secp256k1/src/group_impl.h b/src/secp256k1/src/group_impl.h
index b19b02a01f..63735ab682 100644
--- a/src/secp256k1/src/group_impl.h
+++ b/src/secp256k1/src/group_impl.h
@@ -330,15 +330,14 @@ static void secp256k1_gej_double_var(secp256k1_gej *r, const secp256k1_gej *a, s
}
static void secp256k1_gej_add_var(secp256k1_gej *r, const secp256k1_gej *a, const secp256k1_gej *b, secp256k1_fe *rzr) {
- /* Operations: 12 mul, 4 sqr, 2 normalize, 12 mul_int/add/negate */
- secp256k1_fe z22, z12, u1, u2, s1, s2, h, i, i2, h2, h3, t;
+ /* 12 mul, 4 sqr, 11 add/negate/normalizes_to_zero (ignoring special cases) */
+ secp256k1_fe z22, z12, u1, u2, s1, s2, h, i, h2, h3, t;
if (a->infinity) {
VERIFY_CHECK(rzr == NULL);
*r = *b;
return;
}
-
if (b->infinity) {
if (rzr != NULL) {
secp256k1_fe_set_int(rzr, 1);
@@ -347,7 +346,6 @@ static void secp256k1_gej_add_var(secp256k1_gej *r, const secp256k1_gej *a, cons
return;
}
- r->infinity = 0;
secp256k1_fe_sqr(&z22, &b->z);
secp256k1_fe_sqr(&z12, &a->z);
secp256k1_fe_mul(&u1, &a->x, &z22);
@@ -355,7 +353,7 @@ static void secp256k1_gej_add_var(secp256k1_gej *r, const secp256k1_gej *a, cons
secp256k1_fe_mul(&s1, &a->y, &z22); secp256k1_fe_mul(&s1, &s1, &b->z);
secp256k1_fe_mul(&s2, &b->y, &z12); secp256k1_fe_mul(&s2, &s2, &a->z);
secp256k1_fe_negate(&h, &u1, 1); secp256k1_fe_add(&h, &u2);
- secp256k1_fe_negate(&i, &s1, 1); secp256k1_fe_add(&i, &s2);
+ secp256k1_fe_negate(&i, &s2, 1); secp256k1_fe_add(&i, &s1);
if (secp256k1_fe_normalizes_to_zero_var(&h)) {
if (secp256k1_fe_normalizes_to_zero_var(&i)) {
secp256k1_gej_double_var(r, a, rzr);
@@ -367,24 +365,33 @@ static void secp256k1_gej_add_var(secp256k1_gej *r, const secp256k1_gej *a, cons
}
return;
}
- secp256k1_fe_sqr(&i2, &i);
- secp256k1_fe_sqr(&h2, &h);
- secp256k1_fe_mul(&h3, &h, &h2);
- secp256k1_fe_mul(&h, &h, &b->z);
+
+ r->infinity = 0;
+ secp256k1_fe_mul(&t, &h, &b->z);
if (rzr != NULL) {
- *rzr = h;
+ *rzr = t;
}
- secp256k1_fe_mul(&r->z, &a->z, &h);
+ secp256k1_fe_mul(&r->z, &a->z, &t);
+
+ secp256k1_fe_sqr(&h2, &h);
+ secp256k1_fe_negate(&h2, &h2, 1);
+ secp256k1_fe_mul(&h3, &h2, &h);
secp256k1_fe_mul(&t, &u1, &h2);
- r->x = t; secp256k1_fe_mul_int(&r->x, 2); secp256k1_fe_add(&r->x, &h3); secp256k1_fe_negate(&r->x, &r->x, 3); secp256k1_fe_add(&r->x, &i2);
- secp256k1_fe_negate(&r->y, &r->x, 5); secp256k1_fe_add(&r->y, &t); secp256k1_fe_mul(&r->y, &r->y, &i);
- secp256k1_fe_mul(&h3, &h3, &s1); secp256k1_fe_negate(&h3, &h3, 1);
+
+ secp256k1_fe_sqr(&r->x, &i);
+ secp256k1_fe_add(&r->x, &h3);
+ secp256k1_fe_add(&r->x, &t);
+ secp256k1_fe_add(&r->x, &t);
+
+ secp256k1_fe_add(&t, &r->x);
+ secp256k1_fe_mul(&r->y, &t, &i);
+ secp256k1_fe_mul(&h3, &h3, &s1);
secp256k1_fe_add(&r->y, &h3);
}
static void secp256k1_gej_add_ge_var(secp256k1_gej *r, const secp256k1_gej *a, const secp256k1_ge *b, secp256k1_fe *rzr) {
- /* 8 mul, 3 sqr, 4 normalize, 12 mul_int/add/negate */
- secp256k1_fe z12, u1, u2, s1, s2, h, i, i2, h2, h3, t;
+ /* 8 mul, 3 sqr, 13 add/negate/normalize_weak/normalizes_to_zero (ignoring special cases) */
+ secp256k1_fe z12, u1, u2, s1, s2, h, i, h2, h3, t;
if (a->infinity) {
VERIFY_CHECK(rzr == NULL);
secp256k1_gej_set_ge(r, b);
@@ -397,7 +404,6 @@ static void secp256k1_gej_add_ge_var(secp256k1_gej *r, const secp256k1_gej *a, c
*r = *a;
return;
}
- r->infinity = 0;
secp256k1_fe_sqr(&z12, &a->z);
u1 = a->x; secp256k1_fe_normalize_weak(&u1);
@@ -405,7 +411,7 @@ static void secp256k1_gej_add_ge_var(secp256k1_gej *r, const secp256k1_gej *a, c
s1 = a->y; secp256k1_fe_normalize_weak(&s1);
secp256k1_fe_mul(&s2, &b->y, &z12); secp256k1_fe_mul(&s2, &s2, &a->z);
secp256k1_fe_negate(&h, &u1, 1); secp256k1_fe_add(&h, &u2);
- secp256k1_fe_negate(&i, &s1, 1); secp256k1_fe_add(&i, &s2);
+ secp256k1_fe_negate(&i, &s2, 1); secp256k1_fe_add(&i, &s1);
if (secp256k1_fe_normalizes_to_zero_var(&h)) {
if (secp256k1_fe_normalizes_to_zero_var(&i)) {
secp256k1_gej_double_var(r, a, rzr);
@@ -417,28 +423,33 @@ static void secp256k1_gej_add_ge_var(secp256k1_gej *r, const secp256k1_gej *a, c
}
return;
}
- secp256k1_fe_sqr(&i2, &i);
- secp256k1_fe_sqr(&h2, &h);
- secp256k1_fe_mul(&h3, &h, &h2);
+
+ r->infinity = 0;
if (rzr != NULL) {
*rzr = h;
}
secp256k1_fe_mul(&r->z, &a->z, &h);
+
+ secp256k1_fe_sqr(&h2, &h);
+ secp256k1_fe_negate(&h2, &h2, 1);
+ secp256k1_fe_mul(&h3, &h2, &h);
secp256k1_fe_mul(&t, &u1, &h2);
- r->x = t; secp256k1_fe_mul_int(&r->x, 2); secp256k1_fe_add(&r->x, &h3); secp256k1_fe_negate(&r->x, &r->x, 3); secp256k1_fe_add(&r->x, &i2);
- secp256k1_fe_negate(&r->y, &r->x, 5); secp256k1_fe_add(&r->y, &t); secp256k1_fe_mul(&r->y, &r->y, &i);
- secp256k1_fe_mul(&h3, &h3, &s1); secp256k1_fe_negate(&h3, &h3, 1);
+
+ secp256k1_fe_sqr(&r->x, &i);
+ secp256k1_fe_add(&r->x, &h3);
+ secp256k1_fe_add(&r->x, &t);
+ secp256k1_fe_add(&r->x, &t);
+
+ secp256k1_fe_add(&t, &r->x);
+ secp256k1_fe_mul(&r->y, &t, &i);
+ secp256k1_fe_mul(&h3, &h3, &s1);
secp256k1_fe_add(&r->y, &h3);
}
static void secp256k1_gej_add_zinv_var(secp256k1_gej *r, const secp256k1_gej *a, const secp256k1_ge *b, const secp256k1_fe *bzinv) {
- /* 9 mul, 3 sqr, 4 normalize, 12 mul_int/add/negate */
- secp256k1_fe az, z12, u1, u2, s1, s2, h, i, i2, h2, h3, t;
+ /* 9 mul, 3 sqr, 13 add/negate/normalize_weak/normalizes_to_zero (ignoring special cases) */
+ secp256k1_fe az, z12, u1, u2, s1, s2, h, i, h2, h3, t;
- if (b->infinity) {
- *r = *a;
- return;
- }
if (a->infinity) {
secp256k1_fe bzinv2, bzinv3;
r->infinity = b->infinity;
@@ -449,7 +460,10 @@ static void secp256k1_gej_add_zinv_var(secp256k1_gej *r, const secp256k1_gej *a,
secp256k1_fe_set_int(&r->z, 1);
return;
}
- r->infinity = 0;
+ if (b->infinity) {
+ *r = *a;
+ return;
+ }
/** We need to calculate (rx,ry,rz) = (ax,ay,az) + (bx,by,1/bzinv). Due to
* secp256k1's isomorphism we can multiply the Z coordinates on both sides
@@ -467,7 +481,7 @@ static void secp256k1_gej_add_zinv_var(secp256k1_gej *r, const secp256k1_gej *a,
s1 = a->y; secp256k1_fe_normalize_weak(&s1);
secp256k1_fe_mul(&s2, &b->y, &z12); secp256k1_fe_mul(&s2, &s2, &az);
secp256k1_fe_negate(&h, &u1, 1); secp256k1_fe_add(&h, &u2);
- secp256k1_fe_negate(&i, &s1, 1); secp256k1_fe_add(&i, &s2);
+ secp256k1_fe_negate(&i, &s2, 1); secp256k1_fe_add(&i, &s1);
if (secp256k1_fe_normalizes_to_zero_var(&h)) {
if (secp256k1_fe_normalizes_to_zero_var(&i)) {
secp256k1_gej_double_var(r, a, NULL);
@@ -476,14 +490,23 @@ static void secp256k1_gej_add_zinv_var(secp256k1_gej *r, const secp256k1_gej *a,
}
return;
}
- secp256k1_fe_sqr(&i2, &i);
+
+ r->infinity = 0;
+ secp256k1_fe_mul(&r->z, &a->z, &h);
+
secp256k1_fe_sqr(&h2, &h);
- secp256k1_fe_mul(&h3, &h, &h2);
- r->z = a->z; secp256k1_fe_mul(&r->z, &r->z, &h);
+ secp256k1_fe_negate(&h2, &h2, 1);
+ secp256k1_fe_mul(&h3, &h2, &h);
secp256k1_fe_mul(&t, &u1, &h2);
- r->x = t; secp256k1_fe_mul_int(&r->x, 2); secp256k1_fe_add(&r->x, &h3); secp256k1_fe_negate(&r->x, &r->x, 3); secp256k1_fe_add(&r->x, &i2);
- secp256k1_fe_negate(&r->y, &r->x, 5); secp256k1_fe_add(&r->y, &t); secp256k1_fe_mul(&r->y, &r->y, &i);
- secp256k1_fe_mul(&h3, &h3, &s1); secp256k1_fe_negate(&h3, &h3, 1);
+
+ secp256k1_fe_sqr(&r->x, &i);
+ secp256k1_fe_add(&r->x, &h3);
+ secp256k1_fe_add(&r->x, &t);
+ secp256k1_fe_add(&r->x, &t);
+
+ secp256k1_fe_add(&t, &r->x);
+ secp256k1_fe_mul(&r->y, &t, &i);
+ secp256k1_fe_mul(&h3, &h3, &s1);
secp256k1_fe_add(&r->y, &h3);
}