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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_sqr.cpp
Initial checkin1.5.6
Diffstat (limited to 'src/mp_sqr.cpp')
-rw-r--r--src/mp_sqr.cpp134
1 files changed, 134 insertions, 0 deletions
diff --git a/src/mp_sqr.cpp b/src/mp_sqr.cpp
new file mode 100644
index 000000000..4d1c1504a
--- /dev/null
+++ b/src/mp_sqr.cpp
@@ -0,0 +1,134 @@
+/*************************************************
+* Karatsuba Squaring Source File *
+* (C) 1999-2006 The Botan Project *
+*************************************************/
+
+#include <botan/mp_core.h>
+#include <botan/mem_ops.h>
+
+namespace Botan {
+
+namespace {
+
+/*************************************************
+* Karatsuba Squaring Operation *
+*************************************************/
+void karatsuba_sqr(word z[], const word x[], u32bit N, word workspace[])
+ {
+ const u32bit KARATSUBA_SQR_LOWER_SIZE = BOTAN_KARAT_SQR_THRESHOLD;
+
+ if(N == 6)
+ bigint_comba_sqr6(z, x);
+ else if(N == 8)
+ bigint_comba_sqr8(z, x);
+ else if(N < KARATSUBA_SQR_LOWER_SIZE || N % 2)
+ bigint_simple_mul(z, x, N, x, N);
+ else
+ {
+ const u32bit N2 = N / 2;
+
+ const word* x0 = x;
+ const word* x1 = x + N2;
+ word* z0 = z;
+ word* z1 = z + N;
+
+ const s32bit cmp = bigint_cmp(x0, N2, x1, N2);
+
+ clear_mem(workspace, 2*N);
+
+ if(cmp)
+ {
+ if(cmp > 0)
+ bigint_sub3(z0, x0, N2, x1, N2);
+ else
+ bigint_sub3(z0, x1, N2, x0, N2);
+
+ karatsuba_sqr(workspace, z0, N2, workspace+N);
+ }
+
+ karatsuba_sqr(z0, x0, N2, workspace+N);
+ karatsuba_sqr(z1, x1, 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(cmp == 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 squaring *
+*************************************************/
+u32bit karatsuba_size(u32bit z_size, u32bit x_size, u32bit x_sw)
+ {
+ if(x_sw == x_size)
+ {
+ if(x_sw % 2)
+ return 0;
+ return x_sw;
+ }
+
+ for(u32bit j = x_sw; j <= x_size; ++j)
+ {
+ if(j % 2)
+ continue;
+
+ if(2*j > z_size)
+ return 0;
+
+ if(j % 4 == 2 && (j+2) <= x_size && 2*(j+2) <= z_size)
+ return j+2;
+ return j;
+ }
+
+ return 0;
+ }
+
+/*************************************************
+* Handle small operand squarings *
+*************************************************/
+void handle_small_sqr(word z[], u32bit z_size,
+ const word x[], u32bit x_size, u32bit x_sw)
+ {
+ if(x_sw == 1)
+ bigint_linmul3(z, x, x_sw, x[0]);
+ else if(x_sw <= 4 && x_size >= 4 && z_size >= 8)
+ bigint_comba_sqr4(z, x);
+ else if(x_sw <= 6 && x_size >= 6 && z_size >= 12)
+ bigint_comba_sqr6(z, x);
+ else if(x_sw <= 8 && x_size >= 8 && z_size >= 16)
+ bigint_comba_sqr8(z, x);
+ else
+ bigint_simple_mul(z, x, x_sw, x, x_sw);
+ }
+
+}
+
+/*************************************************
+* Squaring Algorithm Dispatcher *
+*************************************************/
+void bigint_sqr(word z[], u32bit z_size, word workspace[],
+ const word x[], u32bit x_size, u32bit x_sw)
+ {
+ if(x_size <= 8 || x_size <= 8)
+ {
+ handle_small_sqr(z, z_size, x, x_size, x_sw);
+ return;
+ }
+
+ const u32bit N = karatsuba_size(z_size, x_size, x_sw);
+
+ if(N)
+ {
+ clear_mem(workspace, 2*N);
+ karatsuba_sqr(z, x, N, workspace);
+ }
+ else
+ bigint_simple_mul(z, x, x_sw, x, x_sw);
+ }
+
+}