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-rw-r--r--old/botan/src/math/bigint/divide.cpp106
1 files changed, 106 insertions, 0 deletions
diff --git a/old/botan/src/math/bigint/divide.cpp b/old/botan/src/math/bigint/divide.cpp
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+++ b/old/botan/src/math/bigint/divide.cpp
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+/*
+* Division Algorithm
+* (C) 1999-2007 Jack Lloyd
+*
+* Distributed under the terms of the Botan license
+*/
+
+#include <botan/divide.h>
+#include <botan/mp_core.h>
+
+namespace Botan {
+
+namespace {
+
+/*
+* Handle signed operands, if necessary
+*/
+void sign_fixup(const BigInt& x, const BigInt& y, BigInt& q, BigInt& r)
+ {
+ if(x.sign() == BigInt::Negative)
+ {
+ q.flip_sign();
+ if(r.is_nonzero()) { --q; r = y.abs() - r; }
+ }
+ if(y.sign() == BigInt::Negative)
+ q.flip_sign();
+ }
+
+}
+
+/*
+* Solve x = q * y + r
+*/
+void divide(const BigInt& x, const BigInt& y_arg, BigInt& q, BigInt& r)
+ {
+ if(y_arg.is_zero())
+ throw BigInt::DivideByZero();
+
+ BigInt y = y_arg;
+ const u32bit y_words = y.sig_words();
+ r = x;
+
+ r.set_sign(BigInt::Positive);
+ y.set_sign(BigInt::Positive);
+
+ s32bit compare = r.cmp(y);
+
+ if(compare < 0)
+ q = 0;
+ else if(compare == 0)
+ {
+ q = 1;
+ r = 0;
+ }
+ else
+ {
+ u32bit shifts = 0;
+ word y_top = y[y.sig_words()-1];
+ while(y_top < MP_WORD_TOP_BIT) { y_top <<= 1; ++shifts; }
+ y <<= shifts;
+ r <<= shifts;
+
+ const u32bit n = r.sig_words() - 1, t = y_words - 1;
+
+ q.get_reg().create(n - t + 1);
+ if(n <= t)
+ {
+ while(r > y) { r -= y; ++q; }
+ r >>= shifts;
+ sign_fixup(x, y_arg, q, r);
+ return;
+ }
+
+ BigInt temp = y << (MP_WORD_BITS * (n-t));
+
+ while(r >= temp) { r -= temp; ++q[n-t]; }
+
+ for(u32bit j = n; j != t; --j)
+ {
+ const word x_j0 = r.word_at(j);
+ const word x_j1 = r.word_at(j-1);
+ const word y_t = y.word_at(t);
+
+ if(x_j0 == y_t)
+ q[j-t-1] = MP_WORD_MAX;
+ else
+ q[j-t-1] = bigint_divop(x_j0, x_j1, y_t);
+
+ while(bigint_divcore(q[j-t-1], y_t, y.word_at(t-1),
+ x_j0, x_j1, r.word_at(j-2)))
+ --q[j-t-1];
+
+ r -= (q[j-t-1] * y) << (MP_WORD_BITS * (j-t-1));
+ if(r.is_negative())
+ {
+ r += y << (MP_WORD_BITS * (j-t-1));
+ --q[j-t-1];
+ }
+ }
+ r >>= shifts;
+ }
+
+ sign_fixup(x, y_arg, q, r);
+ }
+
+}