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bignum.cc
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#include <stdint.h>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <algorithm>
#include <iostream>
#include <nan.h>
#include <openssl/bn.h>
#include <map>
#include <utility>
using namespace v8;
using namespace node;
using namespace std;
#define REQ_STR_ARG(I, VAR) \
if (info.Length()<= (I) || !info[I]->IsString()) { \
Nan::ThrowTypeError("Argument " #I " must be a string"); \
return; \
} \
Local<String> VAR = Local<String>::Cast(info[I]);
#define REQ_UTF8_ARG(I, VAR) \
if (info.Length() <= (I) || !info[I]->IsString()) { \
Nan::ThrowTypeError( \
"Argument " #I " must be a utf8 string"); \
return; \
} \
String::Utf8Value VAR(info[I]->ToString());
#define REQ_INT32_ARG(I, VAR) \
if (info.Length() <= (I) || !info[I]->IsInt32()) { \
Nan::ThrowTypeError("Argument " #I " must be an int32"); \
return; \
} \
int32_t VAR = info[I]->ToInt32()->Value();
#define REQ_UINT32_ARG(I, VAR) \
if (info.Length() <= (I) || !info[I]->IsUint32()) { \
Nan::ThrowTypeError("Argument " #I " must be a uint32"); \
return; \
} \
uint32_t VAR = info[I]->ToUint32()->Value();
#define REQ_INT64_ARG(I, VAR) \
if (info.Length() <= (I) || !info[I]->IsNumber()) { \
Nan::ThrowTypeError("Argument " #I " must be an int64"); \
return; \
} \
int64_t VAR = info[I]->ToInteger()->Value();
#define REQ_UINT64_ARG(I, VAR) \
if (info.Length() <= (I) || !info[I]->IsNumber()) { \
Nan::ThrowTypeError("Argument " #I " must be a uint64"); \
return; \
} \
uint64_t VAR = info[I]->ToInteger()->Value();
#define REQ_BOOL_ARG(I, VAR) \
if (info.Length() <= (I) || !info[I]->IsBoolean()) { \
Nan::ThrowTypeError("Argument " #I " must be a boolean"); \
return; \
} \
bool VAR = info[I]->ToBoolean()->Value();
#define WRAP_RESULT(RES, VAR) \
Local<Value> arg[1] = { Nan::New<External>(static_cast<BigNum*>(RES)) }; \
Local<Object> VAR = Nan::New<FunctionTemplate>(constructor_template)-> \
GetFunction()->NewInstance(1, arg);
class AutoBN_CTX
{
protected:
BN_CTX* ctx;
BN_CTX* operator=(BN_CTX* ctx_new) { return ctx = ctx_new; }
public:
AutoBN_CTX()
{
ctx = BN_CTX_new();
// TODO: Handle ctx == NULL
}
~AutoBN_CTX()
{
if (ctx != NULL)
BN_CTX_free(ctx);
}
operator BN_CTX*() { return ctx; }
BN_CTX& operator*() { return *ctx; }
BN_CTX** operator&() { return &ctx; }
bool operator!() { return (ctx == NULL); }
};
/**
* BN_jacobi_priv() computes the Jacobi symbol of A with respect to N.
*
* Hence, *jacobi = 1 when the jacobi symbol is unity and *jacobi = -1 when the
* jacobi symbol is -1. N must be odd and >= 3. It is required that 0 <= A < N.
*
* When successful 0 is returned. -1 is returned on failure.
*
* This is an implementation of an iterative version of Algorithm 2.149 on page
* 73 of the book "Handbook of Applied Cryptography" by Menezes, Oorshot,
* Vanstone. Note that there is a typo in step 1. Step 1 should return the value
* 1. The algorithm has a running time of O((lg N)^2) bit operations.
*
* @author Adam L. Young
*/
int BN_jacobi_priv(const BIGNUM *A,const BIGNUM *N,int *jacobi,
BN_CTX *ctx)
{
int e,returnvalue=0,s,bit0,bit1,bit2,a1bit0,a1bit1;
BIGNUM *zero,*a1,*n1,*three,*tmp;
if (!jacobi)
return -1;
*jacobi = 1;
if ((!A) || (!N) || (!ctx))
return -1;
if (!BN_is_odd(N))
return -1; /* ERROR: BN_jacobi() given an even N */
if (BN_cmp(A,N) >= 0)
return -1;
n1=BN_new();zero=BN_new();a1=BN_new();three=BN_new();tmp=BN_new();
BN_set_word(zero,0);
BN_set_word(three,3);
if (BN_cmp(N,three) < 0)
{ /* This function was written by Adam L. Young */
returnvalue = -1;
goto endBN_jacobi;
}
if (BN_cmp(zero,A) > 0)
{
returnvalue = -1;
goto endBN_jacobi;
}
BN_copy(a1,A);
BN_copy(n1,N);
startjacobistep1:
if BN_is_zero(a1) /* step 1 */
goto endBN_jacobi; /* *jacobi = 1; */
if BN_is_one(a1) /* step 2 */
goto endBN_jacobi; /* *jacobi = 1; */
for (e=0;;e++) /* step 3 */
if (BN_is_odd(a1))
break;
else
BN_rshift1(a1,a1);
s = 1; /* step 4 */
bit0 = BN_is_odd(n1);
bit1 = BN_is_bit_set(n1,1);
if (e % 2)
{
bit2 = BN_is_bit_set(n1,2);
if ((!bit2) && (bit1) && (bit0))
s = -1;
if ((bit2) && (!bit1) && (bit0))
s = -1;
}
a1bit0 = BN_is_odd(a1); /* step 5 */
a1bit1 = BN_is_bit_set(a1,1);
if (((bit1) && (bit0)) && ((a1bit1) && (a1bit0)))
s = -s;
BN_mod(n1,n1,a1,ctx); /* step 6 */
BN_copy(tmp,a1);
BN_copy(a1,n1);
BN_copy(n1,tmp);
*jacobi *= s; /* step 7 */
goto startjacobistep1;
endBN_jacobi:
BN_clear_free(zero);
BN_clear_free(tmp);BN_clear_free(a1);
BN_clear_free(n1);BN_clear_free(three);
return returnvalue;
}
class BigNum : public Nan::ObjectWrap {
public:
static void Initialize(Local<Object> target);
BIGNUM bignum_;
static Nan::Persistent<Function> js_conditioner;
static void SetJSConditioner(Local<Function> constructor);
protected:
static Nan::Persistent<FunctionTemplate> constructor_template;
BigNum(const String::Utf8Value& str, uint64_t base);
BigNum(uint64_t num);
BigNum(int64_t num);
BigNum(BIGNUM *num);
BigNum();
~BigNum();
static NAN_METHOD(New);
static NAN_METHOD(ToString);
static NAN_METHOD(Badd);
static NAN_METHOD(Bsub);
static NAN_METHOD(Bmul);
static NAN_METHOD(Bdiv);
static NAN_METHOD(Uadd);
static NAN_METHOD(Usub);
static NAN_METHOD(Umul);
static NAN_METHOD(Udiv);
static NAN_METHOD(Umul_2exp);
static NAN_METHOD(Udiv_2exp);
static NAN_METHOD(Babs);
static NAN_METHOD(Bneg);
static NAN_METHOD(Bmod);
static NAN_METHOD(Umod);
static NAN_METHOD(Bpowm);
static NAN_METHOD(Upowm);
static NAN_METHOD(Upow);
static NAN_METHOD(Uupow);
static NAN_METHOD(Brand0);
static NAN_METHOD(Uprime0);
static NAN_METHOD(Probprime);
static NAN_METHOD(Bcompare);
static NAN_METHOD(Scompare);
static NAN_METHOD(Ucompare);
static NAN_METHOD(Band);
static NAN_METHOD(Bor);
static NAN_METHOD(Bxor);
static NAN_METHOD(Binvertm);
static NAN_METHOD(Bsqrt);
static NAN_METHOD(Broot);
static NAN_METHOD(BitLength);
static NAN_METHOD(Bgcd);
static NAN_METHOD(Bjacobi);
static NAN_METHOD(Bsetcompact);
static NAN_METHOD(IsBitSet);
static Local<Value> Bop(Nan::NAN_METHOD_ARGS_TYPE info, int op);
};
Nan::Persistent<FunctionTemplate> BigNum::constructor_template;
Nan::Persistent<Function> BigNum::js_conditioner;
void BigNum::SetJSConditioner(Local<Function> constructor) {
js_conditioner.Reset(constructor);
}
void BigNum::Initialize(v8::Local<v8::Object> target) {
Nan::HandleScope scope;
Local<FunctionTemplate> tmpl = Nan::New<FunctionTemplate>(New);
constructor_template.Reset(tmpl);
tmpl->InstanceTemplate()->SetInternalFieldCount(1);
tmpl->SetClassName(Nan::New("BigNum").ToLocalChecked());
Nan::SetMethod(tmpl, "uprime0", Uprime0);
Nan::SetPrototypeMethod(tmpl, "tostring", ToString);
Nan::SetPrototypeMethod(tmpl, "badd", Badd);
Nan::SetPrototypeMethod(tmpl, "bsub", Bsub);
Nan::SetPrototypeMethod(tmpl, "bmul", Bmul);
Nan::SetPrototypeMethod(tmpl, "bdiv", Bdiv);
Nan::SetPrototypeMethod(tmpl, "uadd", Uadd);
Nan::SetPrototypeMethod(tmpl, "usub", Usub);
Nan::SetPrototypeMethod(tmpl, "umul", Umul);
Nan::SetPrototypeMethod(tmpl, "udiv", Udiv);
Nan::SetPrototypeMethod(tmpl, "umul2exp", Umul_2exp);
Nan::SetPrototypeMethod(tmpl, "udiv2exp", Udiv_2exp);
Nan::SetPrototypeMethod(tmpl, "babs", Babs);
Nan::SetPrototypeMethod(tmpl, "bneg", Bneg);
Nan::SetPrototypeMethod(tmpl, "bmod", Bmod);
Nan::SetPrototypeMethod(tmpl, "umod", Umod);
Nan::SetPrototypeMethod(tmpl, "bpowm", Bpowm);
Nan::SetPrototypeMethod(tmpl, "upowm", Upowm);
Nan::SetPrototypeMethod(tmpl, "upow", Upow);
Nan::SetPrototypeMethod(tmpl, "brand0", Brand0);
Nan::SetPrototypeMethod(tmpl, "probprime", Probprime);
Nan::SetPrototypeMethod(tmpl, "bcompare", Bcompare);
Nan::SetPrototypeMethod(tmpl, "scompare", Scompare);
Nan::SetPrototypeMethod(tmpl, "ucompare", Ucompare);
Nan::SetPrototypeMethod(tmpl, "band", Band);
Nan::SetPrototypeMethod(tmpl, "bor", Bor);
Nan::SetPrototypeMethod(tmpl, "bxor", Bxor);
Nan::SetPrototypeMethod(tmpl, "binvertm", Binvertm);
Nan::SetPrototypeMethod(tmpl, "bsqrt", Bsqrt);
Nan::SetPrototypeMethod(tmpl, "broot", Broot);
Nan::SetPrototypeMethod(tmpl, "bitLength", BitLength);
Nan::SetPrototypeMethod(tmpl, "gcd", Bgcd);
Nan::SetPrototypeMethod(tmpl, "jacobi", Bjacobi);
Nan::SetPrototypeMethod(tmpl, "setCompact", Bsetcompact);
Nan::SetPrototypeMethod(tmpl, "isbitset", IsBitSet);
target->Set(Nan::New("BigNum").ToLocalChecked(), tmpl->GetFunction());
}
BigNum::BigNum(const v8::String::Utf8Value& str, uint64_t base) : Nan::ObjectWrap ()
{
BN_init(&bignum_);
BN_zero(&bignum_);
BIGNUM *res = &bignum_;
const char *cstr = *str;
switch (base) {
case 2:
BN_init(&bignum_);
for (int i = 0, l = str.length(); i < l; i++) {
if (cstr[l-i-1] != '0') {
BN_set_bit(&bignum_, i);
}
}
break;
case 10:
BN_dec2bn(&res, cstr);
break;
case 16:
BN_hex2bn(&res, cstr);
break;
default:
Nan::ThrowError("Invalid base, only 10 and 16 are supported");
return;
}
}
BigNum::BigNum(uint64_t num) : Nan::ObjectWrap ()
{
BN_init(&bignum_);
if (sizeof(BN_ULONG) >= 8 || num <= 0xFFFFFFFFL) {
BN_set_word(&bignum_, num);
} else {
BN_set_word(&bignum_, num >> 32);
BN_lshift(&bignum_, &bignum_, 32);
BN_add_word(&bignum_, num & 0xFFFFFFFFL);
}
}
BigNum::BigNum(int64_t num) : Nan::ObjectWrap ()
{
bool neg = (num < 0);
BN_init(&bignum_);
if (neg) {
num = -num;
}
if (num < 0) { // num is -2^63
BN_one(&bignum_);
BN_lshift(&bignum_, &bignum_, 63);
} else if (sizeof(BN_ULONG) >= 8 || num <= 0xFFFFFFFFL) {
BN_set_word(&bignum_, num);
} else {
BN_set_word(&bignum_, num >> 32);
BN_lshift(&bignum_, &bignum_, 32);
BN_add_word(&bignum_, num & 0xFFFFFFFFL);
}
if (neg) {
BN_set_negative(&bignum_, 1);
}
}
BigNum::BigNum(BIGNUM *num) : Nan::ObjectWrap ()
{
BN_init(&bignum_);
BN_copy(&bignum_, num);
}
BigNum::BigNum() : Nan::ObjectWrap ()
{
BN_init(&bignum_);
BN_zero(&bignum_);
}
BigNum::~BigNum()
{
BN_clear_free(&bignum_);
}
NAN_METHOD(BigNum::New)
{
if (!info.IsConstructCall()) {
int len = info.Length();
Local<Value>* newArgs = new Local<Value>[len];
for (int i = 0; i < len; i++) {
newArgs[i] = info[i];
}
Local<Value> newInst = Nan::New<FunctionTemplate>(constructor_template)->
GetFunction()->NewInstance(len, newArgs);
delete[] newArgs;
info.GetReturnValue().Set(newInst);
return;
}
BigNum *bignum;
uint64_t base;
if (info[0]->IsExternal()) {
bignum = static_cast<BigNum*>(External::Cast(*(info[0]))->Value());
} else {
int len = info.Length();
Local<Object> ctx = Nan::New<Object>();
Local<Value>* newArgs = new Local<Value>[len];
for (int i = 0; i < len; i++) {
newArgs[i] = info[i];
}
Local<Value> obj = Nan::New<Function>(js_conditioner)->
Call(ctx, info.Length(), newArgs);
delete[] newArgs;
if (!*obj) {
Nan::ThrowError("Invalid type passed to bignum constructor");
return;
}
String::Utf8Value str(obj->ToObject()->Get(Nan::New("num").ToLocalChecked())->ToString());
base = obj->ToObject()->Get(Nan::New("base").ToLocalChecked())->ToNumber()->Value();
bignum = new BigNum(str, base);
}
bignum->Wrap(info.This());
info.GetReturnValue().Set(info.This());
}
NAN_METHOD(BigNum::ToString)
{
BigNum *bignum = Nan::ObjectWrap::Unwrap<BigNum>(info.This());
uint64_t base = 10;
if (info.Length() > 0) {
REQ_UINT64_ARG(0, tbase);
base = tbase;
}
char *to = NULL;
switch (base) {
case 10:
to = BN_bn2dec(&bignum->bignum_);
break;
case 16:
to = BN_bn2hex(&bignum->bignum_);
break;
default:
Nan::ThrowError("Invalid base, only 10 and 16 are supported");
return;
}
Local<Value> result = Nan::New<String>(to).ToLocalChecked();
OPENSSL_free(to);
info.GetReturnValue().Set(result);
}
NAN_METHOD(BigNum::Badd)
{
BigNum *bignum = Nan::ObjectWrap::Unwrap<BigNum>(info.This());
BigNum *bn = Nan::ObjectWrap::Unwrap<BigNum>(info[0]->ToObject());
BigNum *res = new BigNum();
BN_add(&res->bignum_, &bignum->bignum_, &bn->bignum_);
WRAP_RESULT(res, result);
info.GetReturnValue().Set(result);
}
NAN_METHOD(BigNum::Bsub)
{
BigNum *bignum = Nan::ObjectWrap::Unwrap<BigNum>(info.This());
BigNum *bn = Nan::ObjectWrap::Unwrap<BigNum>(info[0]->ToObject());
BigNum *res = new BigNum();
BN_sub(&res->bignum_, &bignum->bignum_, &bn->bignum_);
WRAP_RESULT(res, result);
info.GetReturnValue().Set(result);
}
NAN_METHOD(BigNum::Bmul)
{
AutoBN_CTX ctx;
BigNum *bignum = Nan::ObjectWrap::Unwrap<BigNum>(info.This());
BigNum *bn = Nan::ObjectWrap::Unwrap<BigNum>(info[0]->ToObject());
BigNum *res = new BigNum();
BN_mul(&res->bignum_, &bignum->bignum_, &bn->bignum_, ctx);
WRAP_RESULT(res, result);
info.GetReturnValue().Set(result);
}
NAN_METHOD(BigNum::Bdiv)
{
AutoBN_CTX ctx;
BigNum *bignum = Nan::ObjectWrap::Unwrap<BigNum>(info.This());
BigNum *bi = Nan::ObjectWrap::Unwrap<BigNum>(info[0]->ToObject());
BigNum *res = new BigNum();
BN_div(&res->bignum_, NULL, &bignum->bignum_, &bi->bignum_, ctx);
WRAP_RESULT(res, result);
info.GetReturnValue().Set(result);
}
NAN_METHOD(BigNum::Uadd)
{
BigNum *bignum = Nan::ObjectWrap::Unwrap<BigNum>(info.This());
REQ_UINT64_ARG(0, x);
BigNum *res = new BigNum(&bignum->bignum_);
if (sizeof(BN_ULONG) >= 8 || x <= 0xFFFFFFFFL) {
BN_add_word(&res->bignum_, x);
} else {
BigNum *bn = new BigNum(x);
BN_add(&res->bignum_, &bignum->bignum_, &bn->bignum_);
}
WRAP_RESULT(res, result);
info.GetReturnValue().Set(result);
}
NAN_METHOD(BigNum::Usub)
{
BigNum *bignum = Nan::ObjectWrap::Unwrap<BigNum>(info.This());
REQ_UINT64_ARG(0, x);
BigNum *res = new BigNum(&bignum->bignum_);
if (sizeof(BN_ULONG) >= 8 || x <= 0xFFFFFFFFL) {
BN_sub_word(&res->bignum_, x);
} else {
BigNum *bn = new BigNum(x);
BN_sub(&res->bignum_, &bignum->bignum_, &bn->bignum_);
}
WRAP_RESULT(res, result);
info.GetReturnValue().Set(result);
}
NAN_METHOD(BigNum::Umul)
{
BigNum *bignum = Nan::ObjectWrap::Unwrap<BigNum>(info.This());
REQ_UINT64_ARG(0, x);
BigNum *res = new BigNum(&bignum->bignum_);
if (sizeof(BN_ULONG) >= 8 || x <= 0xFFFFFFFFL) {
BN_mul_word(&res->bignum_, x);
} else {
AutoBN_CTX ctx;
BigNum *bn = new BigNum(x);
BN_mul(&res->bignum_, &bignum->bignum_, &bn->bignum_, ctx);
}
WRAP_RESULT(res, result);
info.GetReturnValue().Set(result);
}
NAN_METHOD(BigNum::Udiv)
{
BigNum *bignum = Nan::ObjectWrap::Unwrap<BigNum>(info.This());
REQ_UINT64_ARG(0, x);
BigNum *res = new BigNum(&bignum->bignum_);
if (sizeof(BN_ULONG) >= 8 || x <= 0xFFFFFFFFL) {
BN_div_word(&res->bignum_, x);
} else {
AutoBN_CTX ctx;
BigNum *bn = new BigNum(x);
BN_div(&res->bignum_, NULL, &bignum->bignum_, &bn->bignum_, ctx);
}
WRAP_RESULT(res, result);
info.GetReturnValue().Set(result);
}
NAN_METHOD(BigNum::Umul_2exp)
{
BigNum *bignum = Nan::ObjectWrap::Unwrap<BigNum>(info.This());
REQ_UINT32_ARG(0, x);
BigNum *res = new BigNum();
BN_lshift(&res->bignum_, &bignum->bignum_, x);
WRAP_RESULT(res, result);
info.GetReturnValue().Set(result);
}
NAN_METHOD(BigNum::Udiv_2exp)
{
BigNum *bignum = Nan::ObjectWrap::Unwrap<BigNum>(info.This());
REQ_UINT32_ARG(0, x);
BigNum *res = new BigNum();
BN_rshift(&res->bignum_, &bignum->bignum_, x);
WRAP_RESULT(res, result);
info.GetReturnValue().Set(result);
}
NAN_METHOD(BigNum::Babs)
{
BigNum *bignum = Nan::ObjectWrap::Unwrap<BigNum>(info.This());
BigNum *res = new BigNum(&bignum->bignum_);
BN_set_negative(&res->bignum_, 0);
WRAP_RESULT(res, result);
info.GetReturnValue().Set(result);
}
NAN_METHOD(BigNum::Bneg)
{
BigNum *bignum = Nan::ObjectWrap::Unwrap<BigNum>(info.This());
BigNum *res = new BigNum(&bignum->bignum_);
BN_set_negative(&res->bignum_, !BN_is_negative(&res->bignum_));
WRAP_RESULT(res, result);
info.GetReturnValue().Set(result);
}
NAN_METHOD(BigNum::Bmod)
{
AutoBN_CTX ctx;
BigNum *bignum = Nan::ObjectWrap::Unwrap<BigNum>(info.This());
BigNum *bn = Nan::ObjectWrap::Unwrap<BigNum>(info[0]->ToObject());
BigNum *res = new BigNum();
BN_div(NULL, &res->bignum_, &bignum->bignum_, &bn->bignum_, ctx);
WRAP_RESULT(res, result);
info.GetReturnValue().Set(result);
}
NAN_METHOD(BigNum::Umod)
{
BigNum *bignum = Nan::ObjectWrap::Unwrap<BigNum>(info.This());
REQ_UINT64_ARG(0, x);
BigNum *res = new BigNum();
if (sizeof(BN_ULONG) >= 8 || x <= 0xFFFFFFFFL) {
BN_set_word(&res->bignum_, BN_mod_word(&bignum->bignum_, x));
} else {
AutoBN_CTX ctx;
BigNum *bn = new BigNum(x);
BN_div(NULL, &res->bignum_, &bignum->bignum_, &bn->bignum_, ctx);
}
WRAP_RESULT(res, result);
info.GetReturnValue().Set(result);
}
NAN_METHOD(BigNum::Bpowm)
{
AutoBN_CTX ctx;
BigNum *bignum = Nan::ObjectWrap::Unwrap<BigNum>(info.This());
BigNum *bn1 = Nan::ObjectWrap::Unwrap<BigNum>(info[0]->ToObject());
BigNum *bn2 = Nan::ObjectWrap::Unwrap<BigNum>(info[1]->ToObject());
BigNum *res = new BigNum();
BN_mod_exp(&res->bignum_, &bignum->bignum_, &bn1->bignum_, &bn2->bignum_, ctx);
WRAP_RESULT(res, result);
info.GetReturnValue().Set(result);
}
NAN_METHOD(BigNum::Upowm)
{
AutoBN_CTX ctx;
BigNum *bignum = Nan::ObjectWrap::Unwrap<BigNum>(info.This());
REQ_UINT64_ARG(0, x);
BigNum *bn = Nan::ObjectWrap::Unwrap<BigNum>(info[1]->ToObject());
BigNum *exp = new BigNum(x);
BigNum *res = new BigNum();
BN_mod_exp(&res->bignum_, &bignum->bignum_, &exp->bignum_, &bn->bignum_, ctx);
WRAP_RESULT(res, result);
info.GetReturnValue().Set(result);
}
NAN_METHOD(BigNum::Upow)
{
AutoBN_CTX ctx;
BigNum *bignum = Nan::ObjectWrap::Unwrap<BigNum>(info.This());
REQ_UINT64_ARG(0, x);
BigNum *exp = new BigNum(x);
BigNum *res = new BigNum();
BN_exp(&res->bignum_, &bignum->bignum_, &exp->bignum_, ctx);
WRAP_RESULT(res, result);
info.GetReturnValue().Set(result);
}
NAN_METHOD(BigNum::Brand0)
{
BigNum *bignum = Nan::ObjectWrap::Unwrap<BigNum>(info.This());
BigNum *res = new BigNum();
BN_rand_range(&res->bignum_, &bignum->bignum_);
WRAP_RESULT(res, result);
info.GetReturnValue().Set(result);
}
NAN_METHOD(BigNum::Uprime0)
{
REQ_UINT32_ARG(0, x);
REQ_BOOL_ARG(1, safe);
BigNum *res = new BigNum();
BN_generate_prime_ex(&res->bignum_, x, safe, NULL, NULL, NULL);
WRAP_RESULT(res, result);
info.GetReturnValue().Set(result);
}
NAN_METHOD(BigNum::Probprime)
{
AutoBN_CTX ctx;
BigNum *bignum = Nan::ObjectWrap::Unwrap<BigNum>(info.This());
REQ_UINT32_ARG(0, reps);
info.GetReturnValue().Set(Nan::New<Number>(BN_is_prime_ex(&bignum->bignum_, reps, ctx, NULL)));
}
NAN_METHOD(BigNum::IsBitSet)
{
BigNum *bignum = Nan::ObjectWrap::Unwrap<BigNum>(info.This());
REQ_UINT32_ARG(0, n);
info.GetReturnValue().Set(Nan::New<Number>(BN_is_bit_set(&bignum->bignum_, n)));
}
NAN_METHOD(BigNum::Bcompare)
{
BigNum *bignum = Nan::ObjectWrap::Unwrap<BigNum>(info.This());
BigNum *bn = Nan::ObjectWrap::Unwrap<BigNum>(info[0]->ToObject());
info.GetReturnValue().Set(Nan::New<Number>(BN_cmp(&bignum->bignum_, &bn->bignum_)));
}
NAN_METHOD(BigNum::Scompare)
{
BigNum *bignum = Nan::ObjectWrap::Unwrap<BigNum>(info.This());
REQ_INT64_ARG(0, x);
BigNum *bn = new BigNum(x);
int res = BN_cmp(&bignum->bignum_, &bn->bignum_);
info.GetReturnValue().Set(Nan::New<Number>(res));
}
NAN_METHOD(BigNum::Ucompare)
{
BigNum *bignum = Nan::ObjectWrap::Unwrap<BigNum>(info.This());
REQ_UINT64_ARG(0, x);
int res;
if (sizeof(BN_ULONG) >= 8 || x <= 0xFFFFFFFFL) {
BIGNUM bn;
BN_init(&bn);
BN_set_word(&bn, x);
res = BN_cmp(&bignum->bignum_, &bn);
BN_clear_free(&bn);
} else {
BigNum *bn = new BigNum(x);
res = BN_cmp(&bignum->bignum_, &bn->bignum_);
}
info.GetReturnValue().Set(Nan::New<Number>(res));
}
// Utility functions from converting OpenSSL's MPI
// format to two's complement, which is what bitwise
// operations are expected to work on
static void
mpi2twosComplement(uint8_t *bytes, size_t numBytes)
{
int i;
bytes[0] &= ~0x80;
for (i = 0; i < (int) numBytes; i++) {
bytes[i] = ~bytes[i];
}
for (i = numBytes - 1; i >= 0; i--) {
if (bytes[i] == 0xff) {
bytes[i] = 0;
} else {
bytes[i]++;
break;
}
}
}
static void
twos_complement2mpi(uint8_t *bytes, size_t numBytes)
{
int i;
for (i = numBytes - 1; i >= 0; i--) {
if (bytes[i] == 0) {
bytes[i] = 0xff;
} else {
bytes[i]--;
break;
}
}
for (i = 0; i < (int) numBytes; i++) {
bytes[i] = ~bytes[i];
}
bytes[0] |= 0x80;
}
const int BN_PAYLOAD_OFFSET = 4;
// Shifts things around in an OpenSSL MPI buffer so that
// the sizes of bignum operands match
static void
shiftSizeAndMSB(uint8_t *bytes, uint8_t *sizeBuffer, size_t offset)
{
memset(bytes + offset, 0, BN_PAYLOAD_OFFSET);
memcpy(bytes, sizeBuffer, BN_PAYLOAD_OFFSET);
// We've copied the size header over; now we just need to move
// the MSB signifying negativity if it's present
if(bytes[BN_PAYLOAD_OFFSET + offset] & 0x80) {
bytes[BN_PAYLOAD_OFFSET] |= 0x80;
bytes[BN_PAYLOAD_OFFSET + offset] &= ~0x80;
}
}
static bool
isMinimumNegativeNumber(uint8_t *bytes, size_t size)
{
if (bytes[0] != 0x80) {
return false;
}
for (size_t i = 1; i < size; i++) {
if (bytes[i] != 0) {
return false;
}
}
return true;
}
static void
swapEndianness(uint8_t *bytes)
{
uint8_t tmp;
tmp = bytes[0];
bytes[0] = bytes[3];
bytes[3] = tmp;
tmp = bytes[1];
bytes[1] = bytes[2];
bytes[2] = tmp;
}
Local<Value>
BigNum::Bop(Nan::NAN_METHOD_ARGS_TYPE info, int op)
{
Nan::EscapableHandleScope scope;
BigNum *bignum = Nan::ObjectWrap::Unwrap<BigNum>(info.This());
BigNum *bn = Nan::ObjectWrap::Unwrap<BigNum>(info[0]->ToObject());
bool bignumNegative = BN_is_negative(&bignum->bignum_);
bool bnNegative = BN_is_negative(&bn->bignum_);
BigNum *res = new BigNum();
// Modified from https://github.com/Worlize/WebSocket-Node/blob/master/src/xor.cpp
// Portions Copyright (c) Agora S.A.
// Licensed under the MIT License.
int payloadSize = BN_bn2mpi(&bignum->bignum_, NULL);
int maskSize = BN_bn2mpi(&bn->bignum_, NULL);
uint32_t size = max(payloadSize, maskSize);
int offset = abs(payloadSize - maskSize);
int payloadOffset = 0;
int maskOffset = 0;
if (payloadSize < maskSize) {
payloadOffset = offset;
} else if (payloadSize > maskSize) {
maskOffset = offset;
}
uint8_t* payload = (uint8_t*) calloc(size, sizeof(char));
uint8_t* mask = (uint8_t*) calloc(size, sizeof(char));
BN_bn2mpi(&bignum->bignum_, payload + payloadOffset);
BN_bn2mpi(&bn->bignum_, mask + maskOffset);
if (payloadSize < maskSize) {
shiftSizeAndMSB(payload, mask, payloadOffset);
} else {
shiftSizeAndMSB(mask, payload, maskOffset);
}
payload += BN_PAYLOAD_OFFSET;
mask += BN_PAYLOAD_OFFSET;
size -= BN_PAYLOAD_OFFSET;
if(bignumNegative) {
mpi2twosComplement(payload, size);
}
if(bnNegative) {
mpi2twosComplement(mask, size);
}
uint32_t* pos32 = (uint32_t*) payload;
uint32_t* end32 = pos32 + (size / 4);
uint32_t* mask32 = (uint32_t*) mask;
switch (op) {
case 0: while (pos32 < end32) *(pos32++) &= *(mask32++); break;
case 1: while (pos32 < end32) *(pos32++) |= *(mask32++); break;
case 2: while (pos32 < end32) *(pos32++) ^= *(mask32++); break;
}
uint8_t* pos8 = (uint8_t*) pos32;
uint8_t* end8 = payload + size;
uint8_t* mask8 = (uint8_t*) mask32;
switch (op) {
case 0: while (pos8 < end8) *(pos8++) &= *(mask8++); break;
case 1: while (pos8 < end8) *(pos8++) |= *(mask8++); break;
case 2: while (pos8 < end8) *(pos8++) ^= *(mask8++); break;
}
payload -= BN_PAYLOAD_OFFSET;
mask -= BN_PAYLOAD_OFFSET;
size += BN_PAYLOAD_OFFSET;
// If the value is the largest negative number representible by
// size bytes, we need to add another byte to the payload buffer,
// otherwise OpenSSL's BN_mpi2bn will interpret the number as -0
if (isMinimumNegativeNumber(payload + BN_PAYLOAD_OFFSET, size - BN_PAYLOAD_OFFSET)) {
bool bigEndian = (size - BN_PAYLOAD_OFFSET) == *((uint32_t *) payload);
uint8_t *newPayload = (uint8_t *) calloc(size + 1, 1);
memcpy(newPayload + 5, payload + BN_PAYLOAD_OFFSET, size - BN_PAYLOAD_OFFSET);
newPayload[BN_PAYLOAD_OFFSET] = 0x80;
size++;
size -= BN_PAYLOAD_OFFSET;
memcpy(newPayload, &size, BN_PAYLOAD_OFFSET);
size += BN_PAYLOAD_OFFSET;
if (!bigEndian) {
swapEndianness(newPayload);
}
free(payload);
payload = newPayload;
} else if(payload[BN_PAYLOAD_OFFSET] & 0x80) {
twos_complement2mpi(payload + BN_PAYLOAD_OFFSET, size - BN_PAYLOAD_OFFSET);
}
BN_mpi2bn(payload, size, &res->bignum_);
WRAP_RESULT(res, result);
free(payload);
free(mask);
return scope.Escape(result);
}