aboutsummaryrefslogtreecommitdiffstats
path: root/src/mp_mul.cpp
diff options
context:
space:
mode:
authorlloyd <[email protected]>2006-05-18 18:33:19 +0000
committerlloyd <[email protected]>2006-05-18 18:33:19 +0000
commita2c99d3270eb73ef2db5704fc54356c6b75096f8 (patch)
treead3d6c4fcc8dd0f403f8105598943616246fe172 /src/mp_mul.cpp
Initial checkin1.5.6
Diffstat (limited to 'src/mp_mul.cpp')
-rw-r--r--src/mp_mul.cpp170
1 files changed, 170 insertions, 0 deletions
diff --git a/src/mp_mul.cpp b/src/mp_mul.cpp
new file mode 100644
index 000000000..f020dff64
--- /dev/null
+++ b/src/mp_mul.cpp
@@ -0,0 +1,170 @@
+/*************************************************
+* Karatsuba Multiplication Source File *
+* (C) 1999-2006 The Botan Project *
+*************************************************/
+
+#include <botan/mp_core.h>
+#include <botan/mem_ops.h>
+
+namespace Botan {
+
+namespace {
+
+/*************************************************
+* Karatsuba Multiplication Operation *
+*************************************************/
+void karatsuba_mul(word z[], const word x[], const word y[], u32bit N,
+ word workspace[])
+ {
+ const u32bit KARATSUBA_MUL_LOWER_SIZE = BOTAN_KARAT_MUL_THRESHOLD;
+
+ if(N == 6)
+ bigint_comba_mul6(z, x, y);
+ else if(N == 8)
+ bigint_comba_mul8(z, x, y);
+ else if(N < KARATSUBA_MUL_LOWER_SIZE || N % 2)
+ bigint_simple_mul(z, x, N, y, N);
+ else
+ {
+ const u32bit N2 = N / 2;
+
+ const word* x0 = x;
+ const word* x1 = x + N2;
+ const word* y0 = y;
+ const word* y1 = y + N2;
+ word* z0 = z;
+ word* z1 = z + N;
+
+ const s32bit cmp0 = bigint_cmp(x0, N2, x1, N2);
+ const s32bit cmp1 = bigint_cmp(y1, N2, y0, N2);
+
+ clear_mem(workspace, 2*N);
+
+ if(cmp0 && cmp1)
+ {
+ if(cmp0 > 0)
+ bigint_sub3(z0, x0, N2, x1, N2);
+ else
+ bigint_sub3(z0, x1, N2, x0, N2);
+
+ if(cmp1 > 0)
+ bigint_sub3(z1, y1, N2, y0, N2);
+ else
+ bigint_sub3(z1, y0, N2, y1, N2);
+
+ karatsuba_mul(workspace, z0, z1, N2, workspace+N);
+ }
+
+ karatsuba_mul(z0, x0, y0, N2, workspace+N);
+ karatsuba_mul(z1, x1, y1, N2, workspace+N);
+
+ word carry = bigint_add3_nc(workspace+N, z0, N, z1, N);
+ carry += bigint_add2_nc(z + N2, N, workspace + N, N);
+ bigint_add2_nc(z + N + N2, N2, &carry, 1);
+
+ if((cmp0 == cmp1) || (cmp0 == 0) || (cmp1 == 0))
+ bigint_add2(z + N2, 2*N-N2, workspace, N);
+ else
+ bigint_sub2(z + N2, 2*N-N2, workspace, N);
+ }
+ }
+
+/*************************************************
+* Pick a good size for the Karatsuba multiply *
+*************************************************/
+u32bit karatsuba_size(u32bit z_size,
+ u32bit x_size, u32bit x_sw,
+ u32bit y_size, u32bit y_sw)
+ {
+ if(x_sw > y_size || y_sw > x_size)
+ return 0;
+ if(((x_size == x_sw) && (x_size % 2)) ||
+ ((y_size == y_sw) && (y_size % 2)))
+ return 0;
+
+ u32bit start = (x_sw > y_sw) ? x_sw : y_sw;
+ u32bit end = (x_size < y_size) ? x_size : y_size;
+
+ if(end < start)
+ return 0;
+
+ if(start == end)
+ {
+ if(start % 2)
+ return 0;
+ return start;
+ }
+
+ for(u32bit j = start; j <= end; ++j)
+ {
+ if(j % 2)
+ continue;
+
+ if(2*j > z_size)
+ return 0;
+
+ if(x_sw <= j && j <= x_size && y_sw <= j && j <= y_size)
+ {
+ if(j % 4 == 2 &&
+ (j+2) <= x_size && (j+2) <= y_size && 2*(j+2) <= z_size)
+ return j+2;
+ return j;
+ }
+ }
+
+ return 0;
+ }
+
+/*************************************************
+* Handle small operand multiplies *
+*************************************************/
+void handle_small_mul(word z[], u32bit z_size,
+ const word x[], u32bit x_size, u32bit x_sw,
+ const word y[], u32bit y_size, u32bit y_sw)
+ {
+ if(x_sw == 1) bigint_linmul3(z, y, y_sw, x[0]);
+ else if(y_sw == 1) bigint_linmul3(z, x, x_sw, y[0]);
+
+ else if(x_sw <= 4 && y_sw <= 4 &&
+ x_size >= 4 && y_size >= 4 && z_size >= 8)
+ bigint_comba_mul4(z, x, y);
+
+ else if(x_sw <= 6 && y_sw <= 6 &&
+ x_size >= 6 && y_size >= 6 && z_size >= 12)
+ bigint_comba_mul6(z, x, y);
+
+ else if(x_sw <= 8 && y_sw <= 8 &&
+ x_size >= 8 && y_size >= 8 && z_size >= 16)
+ bigint_comba_mul8(z, x, y);
+
+ else
+ bigint_simple_mul(z, x, x_sw, y, y_sw);
+ }
+
+}
+
+/*************************************************
+* Multiplication Algorithm Dispatcher *
+*************************************************/
+void bigint_mul(word z[], u32bit z_size, word workspace[],
+ const word x[], u32bit x_size, u32bit x_sw,
+ const word y[], u32bit y_size, u32bit y_sw)
+ {
+ if(x_size <= 8 || y_size <= 8)
+ {
+ handle_small_mul(z, z_size, x, x_size, x_sw, y, y_size, y_sw);
+ return;
+ }
+
+ const u32bit N = karatsuba_size(z_size, x_size, x_sw, y_size, y_sw);
+
+ if(N)
+ {
+ clear_mem(workspace, 2*N);
+ karatsuba_mul(z, x, y, N, workspace);
+ }
+ else
+ bigint_simple_mul(z, x, x_sw, y, y_sw);
+ }
+
+}