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ladybird/Libraries/LibCrypto/BigInt/Algorithms/GCD.cpp
Manuel Zahariev d2ea77c099 LibCrypto: Improve efficiency of UnsignedBigInteger::shift_left
Before:
- a separate Word element allocation of the underlying Vector<Word> was
necessary for every new word in a multi-word shift
- two additional temporary UnsignedBigInteger buffers were allocated
and passed through, including in downstream calls (e.g. Multiplication)
- an additional allocation and word shift for the carry
- FIXME note seems to point to some of these issues

After:
- main change is in LibCrypto/BigInt/Algorithms/BitwiseOperations.cpp
- one single allocation per call, using shift_left_by_n_words
- only the input "number" and "output" need to be allocated by the
  caller
- downstream calls are adapted not to allocate or pass temporary
  buffers
- noticeable performance improvement when running TestBigInteger:
  0.41-0.42s (before) to 0.28-0.29s (after) Intel Core i9 laptop

Bonus: remove unused variables from UnsignedBigInteger::divided_by
- These were likely cut-and-paste artifacts from
  UnsignedBigInteger::multiplied_by; not caught by "unused-varible".

NOTE: making this change in a separate commit than shift_right, even if
it touches the same file BitwiseOperations.cpp since:
- it is a "bonus" addition: not necessary for fixing the shift_right
  bug, but logically unrelated to the shift_right code
- it brings a chain of downstream interface modifications (7 files),
  unrelated to shift_right
2025-03-23 19:33:25 +01:00

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/*
* Copyright (c) 2020, Ali Mohammad Pur <mpfard@serenityos.org>
* Copyright (c) 2020-2021, Dex♪ <dexes.ttp@gmail.com>
* Copyright (c) 2024, Altomani Gianluca <altomanigianluca@gmail.com>
*
* SPDX-License-Identifier: BSD-2-Clause
*/
#include "UnsignedBigIntegerAlgorithms.h"
namespace Crypto {
void UnsignedBigIntegerAlgorithms::destructive_GCD_without_allocation(
UnsignedBigInteger& temp_a,
UnsignedBigInteger& temp_b,
UnsignedBigInteger& temp_quotient,
UnsignedBigInteger& temp_remainder,
UnsignedBigInteger& output)
{
for (;;) {
if (temp_a == 0) {
output.set_to(temp_b);
return;
}
// temp_b %= temp_a
divide_without_allocation(temp_b, temp_a, temp_quotient, temp_remainder);
temp_b.set_to(temp_remainder);
if (temp_b == 0) {
output.set_to(temp_a);
return;
}
// temp_a %= temp_b
divide_without_allocation(temp_a, temp_b, temp_quotient, temp_remainder);
temp_a.set_to(temp_remainder);
}
}
void UnsignedBigIntegerAlgorithms::extended_GCD_without_allocation(
UnsignedBigInteger const& a,
UnsignedBigInteger const& b,
UnsignedBigInteger& x,
UnsignedBigInteger& y,
UnsignedBigInteger& gcd,
UnsignedBigInteger& temp_quotient,
UnsignedBigInteger& temp_1,
UnsignedBigInteger& temp_2,
UnsignedBigInteger& temp_shift,
UnsignedBigInteger& temp_r,
UnsignedBigInteger& temp_s,
UnsignedBigInteger& temp_t)
{
gcd.set_to(a);
x.set_to(1);
y.set_to(0);
temp_r.set_to(b);
temp_s.set_to_0();
temp_t.set_to(1);
while (temp_r != 0) {
// quotient := old_r div r
divide_without_allocation(gcd, temp_r, temp_quotient, temp_1);
temp_2.set_to(temp_r);
multiply_without_allocation(temp_quotient, temp_r, temp_shift, temp_1);
while (gcd < temp_1) {
add_into_accumulator_without_allocation(gcd, b);
}
subtract_without_allocation(gcd, temp_1, temp_r);
gcd.set_to(temp_2);
// (old_s, s) := (s, old_s quotient × s)
temp_2.set_to(temp_s);
multiply_without_allocation(temp_quotient, temp_s, temp_shift, temp_1);
while (x < temp_1) {
add_into_accumulator_without_allocation(x, b);
}
subtract_without_allocation(x, temp_1, temp_s);
x.set_to(temp_2);
// (old_t, t) := (t, old_t quotient × t)
temp_2.set_to(temp_t);
multiply_without_allocation(temp_quotient, temp_t, temp_shift, temp_1);
while (y < temp_1) {
add_into_accumulator_without_allocation(y, b);
}
subtract_without_allocation(y, temp_1, temp_t);
y.set_to(temp_2);
}
}
}