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-rw-r--r--src/lib/math/bigint/bigint.cpp12
-rw-r--r--src/lib/math/bigint/bigint.h5
-rw-r--r--src/lib/math/numbertheory/numthry.cpp57
3 files changed, 62 insertions, 12 deletions
diff --git a/src/lib/math/bigint/bigint.cpp b/src/lib/math/bigint/bigint.cpp
index ae3ab24b0..a4545e4a1 100644
--- a/src/lib/math/bigint/bigint.cpp
+++ b/src/lib/math/bigint/bigint.cpp
@@ -395,6 +395,13 @@ void BigInt::ct_cond_swap(bool predicate, BigInt& other)
bigint_cnd_swap(predicate, this->mutable_data(), other.mutable_data(), max_words);
}
+void BigInt::cond_flip_sign(bool predicate)
+ {
+ // FIXME!
+ if(predicate)
+ flip_sign();
+ }
+
void BigInt::ct_cond_assign(bool predicate, const BigInt& other)
{
const size_t t_words = size();
@@ -413,6 +420,11 @@ void BigInt::ct_cond_assign(bool predicate, const BigInt& other)
const word t_word = this->word_at(i);
this->set_word_at(i, mask.select(o_word, t_word));
}
+
+ if(sign() != other.sign())
+ {
+ cond_flip_sign(predicate);
+ }
}
#if defined(BOTAN_HAS_VALGRIND)
diff --git a/src/lib/math/bigint/bigint.h b/src/lib/math/bigint/bigint.h
index 46e0cd250..f0aa04391 100644
--- a/src/lib/math/bigint/bigint.h
+++ b/src/lib/math/bigint/bigint.h
@@ -689,6 +689,11 @@ class BOTAN_PUBLIC_API(2,0) BigInt final
*/
void ct_cond_swap(bool predicate, BigInt& other);
+ /**
+ * If predicate is true flip the sign of *this
+ */
+ void cond_flip_sign(bool predicate);
+
#if defined(BOTAN_HAS_VALGRIND)
void const_time_poison() const;
void const_time_unpoison() const;
diff --git a/src/lib/math/numbertheory/numthry.cpp b/src/lib/math/numbertheory/numthry.cpp
index eba924b7c..a05403d82 100644
--- a/src/lib/math/numbertheory/numthry.cpp
+++ b/src/lib/math/numbertheory/numthry.cpp
@@ -314,36 +314,69 @@ BigInt inverse_euclid(const BigInt& n, const BigInt& mod)
BigInt u = mod, v = n;
BigInt A = 1, B = 0, C = 0, D = 1;
+ BigInt T0, T1, T2;
while(u.is_nonzero())
{
const size_t u_zero_bits = low_zero_bits(u);
u >>= u_zero_bits;
+
+ const size_t v_zero_bits = low_zero_bits(v);
+ v >>= v_zero_bits;
+
+ const bool u_gte_v = (u >= v);
+
for(size_t i = 0; i != u_zero_bits; ++i)
{
- if(A.is_odd() || B.is_odd())
- { A += n; B -= mod; }
- A >>= 1; B >>= 1;
+ const bool needs_adjust = A.is_odd() || B.is_odd();
+
+ T0 = A + n;
+ T1 = B - mod;
+
+ A.ct_cond_assign(needs_adjust, T0);
+ B.ct_cond_assign(needs_adjust, T1);
+
+ A >>= 1;
+ B >>= 1;
}
- const size_t v_zero_bits = low_zero_bits(v);
- v >>= v_zero_bits;
for(size_t i = 0; i != v_zero_bits; ++i)
{
- if(C.is_odd() || D.is_odd())
- { C += n; D -= mod; }
- C >>= 1; D >>= 1;
+ const bool needs_adjust = C.is_odd() || D.is_odd();
+ T0 = C + n;
+ T1 = D - mod;
+
+ C.ct_cond_assign(needs_adjust, T0);
+ D.ct_cond_assign(needs_adjust, T1);
+
+ C >>= 1;
+ D >>= 1;
}
- if(u >= v) { u -= v; A -= C; B -= D; }
- else { v -= u; C -= A; D -= B; }
+ T0 = u - v;
+ T1 = A - C;
+ T2 = B - D;
+
+ T0.cond_flip_sign(!u_gte_v);
+ T1.cond_flip_sign(!u_gte_v);
+ T2.cond_flip_sign(!u_gte_v);
+
+ u.ct_cond_assign(u_gte_v, T0);
+ A.ct_cond_assign(u_gte_v, T1);
+ B.ct_cond_assign(u_gte_v, T2);
+
+ v.ct_cond_assign(!u_gte_v, T0);
+ C.ct_cond_assign(!u_gte_v, T1);
+ D.ct_cond_assign(!u_gte_v, T2);
}
if(v != 1)
return 0; // no modular inverse
- while(D.is_negative()) D += mod;
- while(D >= mod) D -= mod;
+ while(D.is_negative())
+ D += mod;
+ while(D >= mod)
+ D -= mod;
return D;
}