diff options
author | lloyd <[email protected]> | 2008-09-30 22:41:49 +0000 |
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committer | lloyd <[email protected]> | 2008-09-30 22:41:49 +0000 |
commit | 13d08cbe978c4cd0de01aa0120c39470508cbbcb (patch) | |
tree | ff93739131cbca0dbdf23a31cd4b7611faf5aa6e /src/math/bigint/divide.cpp | |
parent | 8854fe339f2e1f81091ba65c042824e8cc62cbbc (diff) |
Rearrange BigInt directories:
math/bigint - BigInt implementation
math/numbertheory - Math stuff built on top of BigInt
Coming soon: math/gfp (parts of pk/ecdsa)
Update deps in the pk files
Diffstat (limited to 'src/math/bigint/divide.cpp')
-rw-r--r-- | src/math/bigint/divide.cpp | 104 |
1 files changed, 104 insertions, 0 deletions
diff --git a/src/math/bigint/divide.cpp b/src/math/bigint/divide.cpp new file mode 100644 index 000000000..ba088ced4 --- /dev/null +++ b/src/math/bigint/divide.cpp @@ -0,0 +1,104 @@ +/************************************************* +* Division Algorithm Source File * +* (C) 1999-2007 Jack Lloyd * +*************************************************/ + +#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); + } + +} |