aboutsummaryrefslogtreecommitdiffstats
path: root/src/libs/3rdparty/botan/src/lib/math/mp/mp_core.cpp
diff options
context:
space:
mode:
Diffstat (limited to 'src/libs/3rdparty/botan/src/lib/math/mp/mp_core.cpp')
-rw-r--r--src/libs/3rdparty/botan/src/lib/math/mp/mp_core.cpp527
1 files changed, 527 insertions, 0 deletions
diff --git a/src/libs/3rdparty/botan/src/lib/math/mp/mp_core.cpp b/src/libs/3rdparty/botan/src/lib/math/mp/mp_core.cpp
new file mode 100644
index 0000000000..2ae65e508f
--- /dev/null
+++ b/src/libs/3rdparty/botan/src/lib/math/mp/mp_core.cpp
@@ -0,0 +1,527 @@
+/*
+* MPI Add, Subtract, Word Multiply
+* (C) 1999-2010,2016 Jack Lloyd
+* 2006 Luca Piccarreta
+*
+* Botan is released under the Simplified BSD License (see license.txt)
+*/
+
+#include <botan/internal/mp_core.h>
+#include <botan/internal/mp_asmi.h>
+#include <botan/internal/ct_utils.h>
+#include <botan/exceptn.h>
+#include <botan/mem_ops.h>
+
+namespace Botan {
+
+/*
+* If cond == 0, does nothing.
+* If cond > 0, swaps x[0:size] with y[0:size]
+* Runs in constant time
+*/
+void bigint_cnd_swap(word cnd, word x[], word y[], size_t size)
+ {
+ const word mask = CT::expand_mask(cnd);
+
+ for(size_t i = 0; i != size; ++i)
+ {
+ const word a = x[i];
+ const word b = y[i];
+ x[i] = CT::select(mask, b, a);
+ y[i] = CT::select(mask, a, b);
+ }
+ }
+
+/*
+* If cond > 0 adds x[0:size] to y[0:size] and returns carry
+* Runs in constant time
+*/
+word bigint_cnd_add(word cnd, word x[], const word y[], size_t size)
+ {
+ const word mask = CT::expand_mask(cnd);
+
+ word carry = 0;
+
+ const size_t blocks = size - (size % 8);
+ word z[8] = { 0 };
+
+ for(size_t i = 0; i != blocks; i += 8)
+ {
+ carry = word8_add3(z, x + i, y + i, carry);
+
+ for(size_t j = 0; j != 8; ++j)
+ x[i+j] = CT::select(mask, z[j], x[i+j]);
+ }
+
+ for(size_t i = blocks; i != size; ++i)
+ {
+ z[0] = word_add(x[i], y[i], &carry);
+ x[i] = CT::select(mask, z[0], x[i]);
+ }
+
+ return carry & mask;
+ }
+
+/*
+* If cond > 0 subs x[0:size] to y[0:size] and returns borrow
+* Runs in constant time
+*/
+word bigint_cnd_sub(word cnd, word x[], const word y[], size_t size)
+ {
+ const word mask = CT::expand_mask(cnd);
+
+ word carry = 0;
+
+ const size_t blocks = size - (size % 8);
+ word z[8] = { 0 };
+
+ for(size_t i = 0; i != blocks; i += 8)
+ {
+ carry = word8_sub3(z, x + i, y + i, carry);
+
+ for(size_t j = 0; j != 8; ++j)
+ x[i+j] = CT::select(mask, z[j], x[i+j]);
+ }
+
+ for(size_t i = blocks; i != size; ++i)
+ {
+ z[0] = word_sub(x[i], y[i], &carry);
+ x[i] = CT::select(mask, z[0], x[i]);
+ }
+
+ return carry & mask;
+ }
+
+void bigint_cnd_addsub(word mask, word x[], const word y[], size_t size)
+ {
+ const size_t blocks = size - (size % 8);
+
+ word carry = 0;
+ word borrow = 0;
+
+ word t0[8] = { 0 };
+ word t1[8] = { 0 };
+
+ for(size_t i = 0; i != blocks; i += 8)
+ {
+ carry = word8_add3(t0, x + i, y + i, carry);
+ borrow = word8_sub3(t1, x + i, y + i, borrow);
+
+ for(size_t j = 0; j != 8; ++j)
+ x[i+j] = CT::select(mask, t0[j], t1[j]);
+ }
+
+ for(size_t i = blocks; i != size; ++i)
+ {
+ const word a = word_add(x[i], y[i], &carry);
+ const word s = word_sub(x[i], y[i], &borrow);
+
+ x[i] = CT::select(mask, a, s);
+ }
+ }
+
+void bigint_cnd_abs(word cnd, word x[], size_t size)
+ {
+ const word mask = CT::expand_mask(cnd);
+
+ word carry = mask & 1;
+ for(size_t i = 0; i != size; ++i)
+ {
+ const word z = word_add(~x[i], 0, &carry);
+ x[i] = CT::select(mask, z, x[i]);
+ }
+ }
+
+/*
+* Two Operand Addition, No Carry
+*/
+word bigint_add2_nc(word x[], size_t x_size, const word y[], size_t y_size)
+ {
+ word carry = 0;
+
+ BOTAN_ASSERT(x_size >= y_size, "Expected sizes");
+
+ const size_t blocks = y_size - (y_size % 8);
+
+ for(size_t i = 0; i != blocks; i += 8)
+ carry = word8_add2(x + i, y + i, carry);
+
+ for(size_t i = blocks; i != y_size; ++i)
+ x[i] = word_add(x[i], y[i], &carry);
+
+ for(size_t i = y_size; i != x_size; ++i)
+ x[i] = word_add(x[i], 0, &carry);
+
+ return carry;
+ }
+
+/*
+* Three Operand Addition, No Carry
+*/
+word bigint_add3_nc(word z[], const word x[], size_t x_size,
+ const word y[], size_t y_size)
+ {
+ if(x_size < y_size)
+ { return bigint_add3_nc(z, y, y_size, x, x_size); }
+
+ word carry = 0;
+
+ const size_t blocks = y_size - (y_size % 8);
+
+ for(size_t i = 0; i != blocks; i += 8)
+ carry = word8_add3(z + i, x + i, y + i, carry);
+
+ for(size_t i = blocks; i != y_size; ++i)
+ z[i] = word_add(x[i], y[i], &carry);
+
+ for(size_t i = y_size; i != x_size; ++i)
+ z[i] = word_add(x[i], 0, &carry);
+
+ return carry;
+ }
+
+/*
+* Two Operand Addition
+*/
+void bigint_add2(word x[], size_t x_size, const word y[], size_t y_size)
+ {
+ x[x_size] += bigint_add2_nc(x, x_size, y, y_size);
+ }
+
+/*
+* Three Operand Addition
+*/
+void bigint_add3(word z[], const word x[], size_t x_size,
+ const word y[], size_t y_size)
+ {
+ z[x_size > y_size ? x_size : y_size] +=
+ bigint_add3_nc(z, x, x_size, y, y_size);
+ }
+
+/*
+* Two Operand Subtraction
+*/
+word bigint_sub2(word x[], size_t x_size, const word y[], size_t y_size)
+ {
+ word borrow = 0;
+
+ BOTAN_ASSERT(x_size >= y_size, "Expected sizes");
+
+ const size_t blocks = y_size - (y_size % 8);
+
+ for(size_t i = 0; i != blocks; i += 8)
+ borrow = word8_sub2(x + i, y + i, borrow);
+
+ for(size_t i = blocks; i != y_size; ++i)
+ x[i] = word_sub(x[i], y[i], &borrow);
+
+ for(size_t i = y_size; i != x_size; ++i)
+ x[i] = word_sub(x[i], 0, &borrow);
+
+ return borrow;
+ }
+
+/*
+* Two Operand Subtraction x = y - x
+*/
+void bigint_sub2_rev(word x[], const word y[], size_t y_size)
+ {
+ word borrow = 0;
+
+ const size_t blocks = y_size - (y_size % 8);
+
+ for(size_t i = 0; i != blocks; i += 8)
+ borrow = word8_sub2_rev(x + i, y + i, borrow);
+
+ for(size_t i = blocks; i != y_size; ++i)
+ x[i] = word_sub(y[i], x[i], &borrow);
+
+ BOTAN_ASSERT(!borrow, "y must be greater than x");
+ }
+
+word bigint_sub_abs(word z[],
+ const word x[], const word y[], size_t N,
+ word ws[])
+ {
+ // Subtract in both direction then conditional copy out the result
+
+ word* ws0 = ws;
+ word* ws1 = ws + N;
+
+ word borrow0 = 0;
+ word borrow1 = 0;
+
+ const size_t blocks = N - (N % 8);
+
+ for(size_t i = 0; i != blocks; i += 8)
+ {
+ borrow0 = word8_sub3(ws0 + i, x + i, y + i, borrow0);
+ borrow1 = word8_sub3(ws1 + i, y + i, x + i, borrow1);
+ }
+
+ for(size_t i = blocks; i != N; ++i)
+ {
+ ws0[i] = word_sub(x[i], y[i], &borrow0);
+ ws1[i] = word_sub(y[i], x[i], &borrow1);
+ }
+
+ word mask = CT::conditional_copy_mem(borrow1, z, ws0, ws1, N);
+
+ return CT::select<word>(mask, 0, 1);
+ }
+
+/*
+* Three Operand Subtraction
+*/
+word bigint_sub3(word z[], const word x[], size_t x_size,
+ const word y[], size_t y_size)
+ {
+ word borrow = 0;
+
+ BOTAN_ASSERT(x_size >= y_size, "Expected sizes");
+
+ const size_t blocks = y_size - (y_size % 8);
+
+ for(size_t i = 0; i != blocks; i += 8)
+ borrow = word8_sub3(z + i, x + i, y + i, borrow);
+
+ for(size_t i = blocks; i != y_size; ++i)
+ z[i] = word_sub(x[i], y[i], &borrow);
+
+ for(size_t i = y_size; i != x_size; ++i)
+ z[i] = word_sub(x[i], 0, &borrow);
+
+ return borrow;
+ }
+
+/*
+* Two Operand Linear Multiply
+*/
+void bigint_linmul2(word x[], size_t x_size, word y)
+ {
+ const size_t blocks = x_size - (x_size % 8);
+
+ word carry = 0;
+
+ for(size_t i = 0; i != blocks; i += 8)
+ carry = word8_linmul2(x + i, y, carry);
+
+ for(size_t i = blocks; i != x_size; ++i)
+ x[i] = word_madd2(x[i], y, &carry);
+
+ x[x_size] = carry;
+ }
+
+/*
+* Three Operand Linear Multiply
+*/
+void bigint_linmul3(word z[], const word x[], size_t x_size, word y)
+ {
+ const size_t blocks = x_size - (x_size % 8);
+
+ word carry = 0;
+
+ for(size_t i = 0; i != blocks; i += 8)
+ carry = word8_linmul3(z + i, x + i, y, carry);
+
+ for(size_t i = blocks; i != x_size; ++i)
+ z[i] = word_madd2(x[i], y, &carry);
+
+ z[x_size] = carry;
+ }
+
+/*
+* Single Operand Left Shift
+*/
+void bigint_shl1(word x[], size_t x_size, size_t word_shift, size_t bit_shift)
+ {
+ if(word_shift)
+ {
+ copy_mem(x + word_shift, x, x_size);
+ clear_mem(x, word_shift);
+ }
+
+ if(bit_shift)
+ {
+ word carry = 0;
+ for(size_t j = word_shift; j != x_size + word_shift + 1; ++j)
+ {
+ word temp = x[j];
+ x[j] = (temp << bit_shift) | carry;
+ carry = (temp >> (BOTAN_MP_WORD_BITS - bit_shift));
+ }
+ }
+ }
+
+/*
+* Single Operand Right Shift
+*/
+void bigint_shr1(word x[], size_t x_size, size_t word_shift, size_t bit_shift)
+ {
+ if(x_size < word_shift)
+ {
+ clear_mem(x, x_size);
+ return;
+ }
+
+ if(word_shift)
+ {
+ copy_mem(x, x + word_shift, x_size - word_shift);
+ clear_mem(x + x_size - word_shift, word_shift);
+ }
+
+ if(bit_shift)
+ {
+ word carry = 0;
+
+ size_t top = x_size - word_shift;
+
+ while(top >= 4)
+ {
+ word w = x[top-1];
+ x[top-1] = (w >> bit_shift) | carry;
+ carry = (w << (BOTAN_MP_WORD_BITS - bit_shift));
+
+ w = x[top-2];
+ x[top-2] = (w >> bit_shift) | carry;
+ carry = (w << (BOTAN_MP_WORD_BITS - bit_shift));
+
+ w = x[top-3];
+ x[top-3] = (w >> bit_shift) | carry;
+ carry = (w << (BOTAN_MP_WORD_BITS - bit_shift));
+
+ w = x[top-4];
+ x[top-4] = (w >> bit_shift) | carry;
+ carry = (w << (BOTAN_MP_WORD_BITS - bit_shift));
+
+ top -= 4;
+ }
+
+ while(top)
+ {
+ word w = x[top-1];
+ x[top-1] = (w >> bit_shift) | carry;
+ carry = (w << (BOTAN_MP_WORD_BITS - bit_shift));
+
+ top--;
+ }
+ }
+ }
+
+/*
+* Two Operand Left Shift
+*/
+void bigint_shl2(word y[], const word x[], size_t x_size,
+ size_t word_shift, size_t bit_shift)
+ {
+ for(size_t j = 0; j != x_size; ++j)
+ y[j + word_shift] = x[j];
+ if(bit_shift)
+ {
+ word carry = 0;
+ for(size_t j = word_shift; j != x_size + word_shift + 1; ++j)
+ {
+ word w = y[j];
+ y[j] = (w << bit_shift) | carry;
+ carry = (w >> (BOTAN_MP_WORD_BITS - bit_shift));
+ }
+ }
+ }
+
+/*
+* Two Operand Right Shift
+*/
+void bigint_shr2(word y[], const word x[], size_t x_size,
+ size_t word_shift, size_t bit_shift)
+ {
+ if(x_size < word_shift) return;
+
+ for(size_t j = 0; j != x_size - word_shift; ++j)
+ y[j] = x[j + word_shift];
+ if(bit_shift)
+ {
+ word carry = 0;
+ for(size_t j = x_size - word_shift; j > 0; --j)
+ {
+ word w = y[j-1];
+ y[j-1] = (w >> bit_shift) | carry;
+ carry = (w << (BOTAN_MP_WORD_BITS - bit_shift));
+ }
+ }
+ }
+
+/*
+* Compare two MP integers
+*/
+int32_t bigint_cmp(const word x[], size_t x_size,
+ const word y[], size_t y_size)
+ {
+ if(x_size < y_size) { return (-bigint_cmp(y, y_size, x, x_size)); }
+
+ while(x_size > y_size)
+ {
+ if(x[x_size-1])
+ return 1;
+ x_size--;
+ }
+
+ for(size_t i = x_size; i > 0; --i)
+ {
+ if(x[i-1] > y[i-1])
+ return 1;
+ if(x[i-1] < y[i-1])
+ return -1;
+ }
+
+ return 0;
+ }
+
+/*
+* Do a 2-word/1-word Division
+*/
+word bigint_divop(word n1, word n0, word d)
+ {
+ if(d == 0)
+ throw Invalid_Argument("bigint_divop divide by zero");
+
+#if defined(BOTAN_HAS_MP_DWORD)
+ return ((static_cast<dword>(n1) << BOTAN_MP_WORD_BITS) | n0) / d;
+#else
+
+ word high = n1 % d, quotient = 0;
+
+ for(size_t i = 0; i != BOTAN_MP_WORD_BITS; ++i)
+ {
+ word high_top_bit = (high & MP_WORD_TOP_BIT);
+
+ high <<= 1;
+ high |= (n0 >> (BOTAN_MP_WORD_BITS-1-i)) & 1;
+ quotient <<= 1;
+
+ if(high_top_bit || high >= d)
+ {
+ high -= d;
+ quotient |= 1;
+ }
+ }
+
+ return quotient;
+#endif
+ }
+
+/*
+* Do a 2-word/1-word Modulo
+*/
+word bigint_modop(word n1, word n0, word d)
+ {
+#if defined(BOTAN_HAS_MP_DWORD)
+ return ((static_cast<dword>(n1) << BOTAN_MP_WORD_BITS) | n0) % d;
+#else
+ word z = bigint_divop(n1, n0, d);
+ word dummy = 0;
+ z = word_madd2(z, d, &dummy);
+ return (n0-z);
+#endif
+ }
+
+}