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num_gmp.h and begin tests

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pull/11871/head
Pieter Wuille 12 years ago
parent 852cbee819
commit a41f32e69d
5 changed files with 350 additions and 148 deletions
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2
group.h
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@ -336,7 +336,7 @@ void GroupElemJac::SetMulLambda(const GroupElemJac &p) {
x.SetMult(x, beta); x.SetMult(x, beta);
} }
void SplitExp(Context &ctx, const Number &exp, Number &exp1, Number exp2) { void SplitExp(Context &ctx, const Number &exp, Number &exp1, Number &exp2) {
const GroupConstants &c = GetGroupConst(); const GroupConstants &c = GetGroupConst();
Context ct(ctx); Context ct(ctx);
Number bnc1(ct), bnc2(ct), bnt1(ct), bnt2(ct), bnn2(ct); Number bnc1(ct), bnc2(ct), bnt1(ct), bnt2(ct), bnn2(ct);

149
num.h
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@ -1,152 +1,7 @@
#ifndef _SECP256K1_NUM_ #ifndef _SECP256K1_NUM_
#define _SECP256K1_NUM_ #define _SECP256K1_NUM_
#include <assert.h> #include "num_gmp.h"
#include <string> // #include "num_openssl.h"
#include <string.h>
#include <openssl/bn.h>
#include <openssl/crypto.h>
namespace secp256k1 {
class Context {
private:
BN_CTX *bn_ctx;
bool root;
bool offspring;
public:
operator BN_CTX*() {
return bn_ctx;
}
Context() {
bn_ctx = BN_CTX_new();
BN_CTX_start(bn_ctx);
root = true;
offspring = false;
}
Context(Context &par) {
bn_ctx = par.bn_ctx;
root = false;
offspring = false;
par.offspring = true;
BN_CTX_start(bn_ctx);
}
~Context() {
BN_CTX_end(bn_ctx);
if (root)
BN_CTX_free(bn_ctx);
}
BIGNUM *Get() {
assert(offspring == false);
return BN_CTX_get(bn_ctx);
}
};
class Number {
private:
BIGNUM *bn;
public:
Number(Context &ctx) : bn(ctx.Get()) {}
Number(Context &ctx, const unsigned char *bin, int len) : bn(ctx.Get()) {
SetBytes(bin,len);
}
void SetNumber(const Number &x) {
BN_copy(bn, x.bn);
}
void SetBytes(const unsigned char *bin, int len) {
BN_bin2bn(bin, len, bn);
}
void GetBytes(unsigned char *bin, int len) {
int size = BN_num_bytes(bn);
assert(size <= len);
memset(bin,0,len);
BN_bn2bin(bn, bin + size - len);
}
void SetInt(int x) {
BN_set_word(bn, x);
}
void SetModInverse(Context &ctx, const Number &x, const Number &m) {
BN_mod_inverse(bn, x.bn, m.bn, ctx);
}
void SetModMul(Context &ctx, const Number &a, const Number &b, const Number &m) {
BN_mod_mul(bn, a.bn, b.bn, m.bn, ctx);
}
void SetAdd(Context &ctx, const Number &a1, const Number &a2) {
BN_add(bn, a1.bn, a2.bn);
}
void SetSub(Context &ctx, const Number &a1, const Number &a2) {
BN_sub(bn, a1.bn, a2.bn);
}
void SetMult(Context &ctx, const Number &a1, const Number &a2) {
BN_mul(bn, a1.bn, a2.bn, ctx);
}
void SetDiv(Context &ctx, const Number &a1, const Number &a2) {
BN_div(bn, NULL, a1.bn, a2.bn, ctx);
}
void SetMod(Context &ctx, const Number &a, const Number &m) {
BN_nnmod(bn, m.bn, a.bn, ctx);
}
int Compare(const Number &a) const {
return BN_cmp(bn, a.bn);
}
int GetBits() const {
return BN_num_bits(bn);
}
// return the lowest (rightmost) bits bits, and rshift them away
int ShiftLowBits(Context &ctx, int bits) {
Context ct(ctx);
BIGNUM *tmp = ct.Get();
BN_copy(tmp, bn);
BN_mask_bits(tmp, bits);
int ret = BN_get_word(tmp);
BN_rshift(bn, bn, bits);
return ret;
}
// check whether number is 0,
bool IsZero() const {
return BN_is_zero(bn);
}
bool IsOdd() const {
return BN_is_odd(bn);
}
bool IsNeg() const {
return BN_is_negative(bn);
}
void Negate() {
BN_set_negative(bn, !IsNeg());
}
void Shift1() {
BN_rshift1(bn,bn);
}
void Inc() {
BN_add_word(bn,1);
}
void SetHex(const std::string &str) {
BN_hex2bn(&bn, str.c_str());
}
void SetPseudoRand(const Number &max) {
BN_pseudo_rand_range(bn, max.bn);
}
void SplitInto(Context &ctx, int bits, Number &low, Number &high) const {
BN_copy(low.bn, bn);
BN_mask_bits(low.bn, bits);
BN_rshift(high.bn, bn, bits);
}
std::string ToString() {
char *str = BN_bn2hex(bn);
std::string ret(str);
OPENSSL_free(str);
return ret;
}
};
}
#endif #endif

156
num_gmp.h
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@ -0,0 +1,156 @@
#ifndef _SECP256K1_NUM_OPENSSL_
#define _SECP256K1_NUM_OPENSSL_
#include <assert.h>
#include <string>
#include <string.h>
#include <stdlib.h>
#include <gmp.h>
namespace secp256k1 {
class Context {
public:
Context() {
}
Context(Context &par) {
}
};
class NumberState {
private:
gmp_randstate_t rng;
public:
NumberState() {
gmp_randinit_default(rng);
}
~NumberState() {
gmp_randclear(rng);
}
void gen(mpz_t out, mpz_t size) {
mpz_urandomm(out, rng, size);
}
};
static NumberState number_state;
class Number {
private:
mutable mpz_t bn;
Number(const Number &x) {
}
public:
Number(Context &ctx) {
mpz_init(bn);
}
~Number() {
mpz_clear(bn);
}
Number(Context &ctx, const unsigned char *bin, int len) {
mpz_init(bn);
SetBytes(bin,len);
}
Number &operator=(const Number &x) {
mpz_set(bn, x.bn);
return *this;
}
void SetNumber(const Number &x) {
mpz_set(bn, x.bn);
}
void SetBytes(const unsigned char *bin, int len) {
mpz_import(bn, len, 1, 1, 1, 0, bin);
}
void GetBytes(unsigned char *bin, int len) {
int size = (mpz_sizeinbase(bn,2)+7)/8;
assert(size <= len);
memset(bin,0,len);
mpz_export(bin + size - len, NULL, 1, 1, 1, 0, bn);
}
void SetInt(int x) {
mpz_set_si(bn, x);
}
void SetModInverse(Context &ctx, const Number &x, const Number &m) {
mpz_invert(bn, x.bn, m.bn);
}
void SetModMul(Context &ctx, const Number &a, const Number &b, const Number &m) {
mpz_mul(bn, a.bn, b.bn);
mpz_mod(bn, a.bn, m.bn);
}
void SetAdd(Context &ctx, const Number &a1, const Number &a2) {
mpz_add(bn, a1.bn, a2.bn);
}
void SetSub(Context &ctx, const Number &a1, const Number &a2) {
mpz_sub(bn, a1.bn, a2.bn);
}
void SetMult(Context &ctx, const Number &a1, const Number &a2) {
mpz_mul(bn, a1.bn, a2.bn);
}
void SetDiv(Context &ctx, const Number &a1, const Number &a2) {
mpz_tdiv_q(bn, a1.bn, a2.bn);
}
void SetMod(Context &ctx, const Number &a, const Number &m) {
mpz_mod(bn, a.bn, m.bn);
}
int Compare(const Number &a) const {
return mpz_cmp(bn, a.bn);
}
int GetBits() const {
return mpz_sizeinbase(bn,2);
}
// return the lowest (rightmost) bits bits, and rshift them away
int ShiftLowBits(Context &ctx, int bits) {
int ret = mpz_get_ui(bn) & ((1 << bits) - 1);
mpz_fdiv_q_2exp(bn, bn, bits);
return ret;
}
// check whether number is 0,
bool IsZero() const {
return mpz_size(bn) == 0;
}
bool IsOdd() const {
return mpz_get_ui(bn) & 1;
}
bool IsNeg() const {
return mpz_sgn(bn) < 0;
}
void Negate() {
mpz_neg(bn, bn);
}
void Shift1() {
mpz_fdiv_q_2exp(bn, bn, 1);
}
void Inc() {
mpz_add_ui(bn, bn, 1);
}
void SetHex(const std::string &str) {
mpz_set_str(bn, str.c_str(), 16);
}
void SetPseudoRand(const Number &max) {
number_state.gen(bn, max.bn);
}
void SplitInto(Context &ctx, int bits, Number &low, Number &high) const {
mpz_t tmp;
mpz_init_set_ui(tmp,1);
mpz_mul_2exp(tmp,tmp,bits);
mpz_sub_ui(tmp,tmp,1);
mpz_and(low.bn, bn, tmp);
mpz_clear(tmp);
mpz_fdiv_q_2exp(high.bn, bn, bits);
}
std::string ToString() {
char *str = (char*)malloc((GetBits() + 7)/8 + 2);
mpz_get_str(str, 16, bn);
std::string ret(str);
free(str);
return ret;
}
};
}
#endif

157
num_openssl.h
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@ -0,0 +1,157 @@
#ifndef _SECP256K1_NUM_OPENSSL_
#define _SECP256K1_NUM_OPENSSL_
#include <assert.h>
#include <string>
#include <string.h>
#include <openssl/bn.h>
#include <openssl/crypto.h>
namespace secp256k1 {
class Context {
private:
BN_CTX *bn_ctx;
bool root;
bool offspring;
public:
operator BN_CTX*() {
return bn_ctx;
}
Context() {
bn_ctx = BN_CTX_new();
BN_CTX_start(bn_ctx);
root = true;
offspring = false;
}
Context(Context &par) {
bn_ctx = par.bn_ctx;
root = false;
offspring = false;
par.offspring = true;
BN_CTX_start(bn_ctx);
}
~Context() {
BN_CTX_end(bn_ctx);
if (root)
BN_CTX_free(bn_ctx);
}
BIGNUM *Get() {
assert(offspring == false);
return BN_CTX_get(bn_ctx);
}
};
class Number {
private:
BIGNUM *bn;
Number(const Number &x) {}
public:
Number(Context &ctx) : bn(ctx.Get()) {}
Number(Context &ctx, const unsigned char *bin, int len) : bn(ctx.Get()) {
SetBytes(bin,len);
}
void SetNumber(const Number &x) {
BN_copy(bn, x.bn);
}
Number &operator=(const Number &x) {
BN_copy(bn, x.bn);
return *this;
}
void SetBytes(const unsigned char *bin, int len) {
BN_bin2bn(bin, len, bn);
}
void GetBytes(unsigned char *bin, int len) {
int size = BN_num_bytes(bn);
assert(size <= len);
memset(bin,0,len);
BN_bn2bin(bn, bin + size - len);
}
void SetInt(int x) {
BN_set_word(bn, x);
}
void SetModInverse(Context &ctx, const Number &x, const Number &m) {
BN_mod_inverse(bn, x.bn, m.bn, ctx);
}
void SetModMul(Context &ctx, const Number &a, const Number &b, const Number &m) {
BN_mod_mul(bn, a.bn, b.bn, m.bn, ctx);
}
void SetAdd(Context &ctx, const Number &a1, const Number &a2) {
BN_add(bn, a1.bn, a2.bn);
}
void SetSub(Context &ctx, const Number &a1, const Number &a2) {
BN_sub(bn, a1.bn, a2.bn);
}
void SetMult(Context &ctx, const Number &a1, const Number &a2) {
BN_mul(bn, a1.bn, a2.bn, ctx);
}
void SetDiv(Context &ctx, const Number &a1, const Number &a2) {
BN_div(bn, NULL, a1.bn, a2.bn, ctx);
}
void SetMod(Context &ctx, const Number &a, const Number &m) {
BN_nnmod(bn, m.bn, a.bn, ctx);
}
int Compare(const Number &a) const {
return BN_cmp(bn, a.bn);
}
int GetBits() const {
return BN_num_bits(bn);
}
// return the lowest (rightmost) bits bits, and rshift them away
int ShiftLowBits(Context &ctx, int bits) {
Context ct(ctx);
BIGNUM *tmp = ct.Get();
BN_copy(tmp, bn);
BN_mask_bits(tmp, bits);
int ret = BN_get_word(tmp);
BN_rshift(bn, bn, bits);
return ret;
}
// check whether number is 0,
bool IsZero() const {
return BN_is_zero(bn);
}
bool IsOdd() const {
return BN_is_odd(bn);
}
bool IsNeg() const {
return BN_is_negative(bn);
}
void Negate() {
BN_set_negative(bn, !IsNeg());
}
void Shift1() {
BN_rshift1(bn,bn);
}
void Inc() {
BN_add_word(bn,1);
}
void SetHex(const std::string &str) {
BN_hex2bn(&bn, str.c_str());
}
void SetPseudoRand(const Number &max) {
BN_pseudo_rand_range(bn, max.bn);
}
void SplitInto(Context &ctx, int bits, Number &low, Number &high) const {
BN_copy(low.bn, bn);
BN_mask_bits(low.bn, bits);
BN_rshift(high.bn, bn, bits);
}
std::string ToString() {
char *str = BN_bn2hex(bn);
std::string ret(str);
OPENSSL_free(str);
return ret;
}
};
}
#endif

34
tests.cpp
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#include <assert.h>
#include "num.h"
#include "field.h"
#include "group.h"
#include "ecmult.h"
#include "ecdsa.h"
using namespace secp256k1;
void test_ecmult() {
Context ctx;
FieldElem ax; ax.SetHex("8b30bbe9ae2a990696b22f670709dff3727fd8bc04d3362c6c7bf458e2846004");
FieldElem ay; ay.SetHex("a357ae915c4a65281309edf20504740f0eb3343990216b4f81063cb65f2f7e0f");
GroupElemJac a(ax,ay);
Number an(ctx); an.SetHex("84cc5452f7fde1edb4d38a8ce9b1b84ccef31f146e569be9705d357a42985407");
Number gn(ctx); gn.SetHex("a1e58d22553dcd42b23980625d4c57a96e9323d42b3152e5ca2c3990edc7c9de");
Number af(ctx); af.SetHex("1337");
Number gf(ctx); gf.SetHex("7113");
const Number &order = GetGroupConst().order;
for (int i=0; i<1000; i++) {
ECMult(ctx, a, a, an, gn);
an.SetModMul(ctx, an, af, order);
gn.SetModMul(ctx, gn, gf, order);
}
std::string res = a.ToString();
assert(res == "(D37F97BBF58B4ECA238329D272C9AF0194F062B851EDF9B40F2294FA00BBFCA2,B127748E9A9F347257051588D44A1B822CA731833B2653AA3646C59A8ADAF295)");
}
int main(void) {
test_ecmult();
return 0;
}
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