diff options
Diffstat (limited to 'src/math/mp/mp_karat.cpp')
-rw-r--r-- | src/math/mp/mp_karat.cpp | 303 |
1 files changed, 0 insertions, 303 deletions
diff --git a/src/math/mp/mp_karat.cpp b/src/math/mp/mp_karat.cpp deleted file mode 100644 index b549a05c8..000000000 --- a/src/math/mp/mp_karat.cpp +++ /dev/null @@ -1,303 +0,0 @@ -/* -* Karatsuba Multiplication/Squaring -* (C) 1999-2010 Jack Lloyd -* -* Distributed under the terms of the Botan license -*/ - -#include <botan/internal/mp_core.h> -#include <botan/internal/mp_asmi.h> -#include <botan/mem_ops.h> - -namespace Botan { - -namespace { - -static const size_t KARATSUBA_MULTIPLY_THRESHOLD = 32; -static const size_t KARATSUBA_SQUARE_THRESHOLD = 32; - -/* -* Karatsuba Multiplication Operation -*/ -void karatsuba_mul(word z[], const word x[], const word y[], size_t N, - word workspace[]) - { - if(N < KARATSUBA_MULTIPLY_THRESHOLD || N % 2) - { - if(N == 6) - return bigint_comba_mul6(z, x, y); - else if(N == 8) - return bigint_comba_mul8(z, x, y); - else if(N == 16) - return bigint_comba_mul16(z, x, y); - else - return bigint_simple_mul(z, x, N, y, N); - } - - const size_t 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); - - const word ws_carry = bigint_add3_nc(workspace + N, z0, N, z1, N); - word z_carry = bigint_add2_nc(z + N2, N, workspace + N, N); - - z_carry += bigint_add2_nc(z + N + N2, N2, &ws_carry, 1); - bigint_add2_nc(z + N + N2, N2, &z_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); - } - -/* -* Karatsuba Squaring Operation -*/ -void karatsuba_sqr(word z[], const word x[], size_t N, word workspace[]) - { - if(N < KARATSUBA_SQUARE_THRESHOLD || N % 2) - { - if(N == 6) - return bigint_comba_sqr6(z, x); - else if(N == 8) - return bigint_comba_sqr8(z, x); - else if(N == 16) - return bigint_comba_sqr16(z, x); - else - return bigint_simple_sqr(z, x, N); - } - - const size_t 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); - - const word ws_carry = bigint_add3_nc(workspace + N, z0, N, z1, N); - word z_carry = bigint_add2_nc(z + N2, N, workspace + N, N); - - z_carry += bigint_add2_nc(z + N + N2, N2, &ws_carry, 1); - bigint_add2_nc(z + N + N2, N2, &z_carry, 1); - - /* - * This is only actually required if cmp is != 0, however - * if cmp==0 then workspace[0:N] == 0 and avoiding the jump - * hides a timing channel. - */ - bigint_sub2(z + N2, 2*N-N2, workspace, N); - } - -/* -* Pick a good size for the Karatsuba multiply -*/ -size_t karatsuba_size(size_t z_size, - size_t x_size, size_t x_sw, - size_t y_size, size_t y_sw) - { - if(x_sw > x_size || x_sw > y_size || y_sw > x_size || y_sw > y_size) - return 0; - - if(((x_size == x_sw) && (x_size % 2)) || - ((y_size == y_sw) && (y_size % 2))) - return 0; - - const size_t start = (x_sw > y_sw) ? x_sw : y_sw; - const size_t end = (x_size < y_size) ? x_size : y_size; - - if(start == end) - { - if(start % 2) - return 0; - return start; - } - - for(size_t 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; - } - -/* -* Pick a good size for the Karatsuba squaring -*/ -size_t karatsuba_size(size_t z_size, size_t x_size, size_t x_sw) - { - if(x_sw == x_size) - { - if(x_sw % 2) - return 0; - return x_sw; - } - - for(size_t 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; - } - -} - -/* -* Multiplication Algorithm Dispatcher -*/ -void bigint_mul(word z[], size_t z_size, word workspace[], - const word x[], size_t x_size, size_t x_sw, - const word y[], size_t y_size, size_t 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 && x_size >= 4 && - y_sw <= 4 && y_size >= 4 && z_size >= 8) - { - bigint_comba_mul4(z, x, y); - } - else if(x_sw <= 6 && x_size >= 6 && - y_sw <= 6 && y_size >= 6 && z_size >= 12) - { - bigint_comba_mul6(z, x, y); - } - else if(x_sw <= 8 && x_size >= 8 && - y_sw <= 8 && y_size >= 8 && z_size >= 16) - { - bigint_comba_mul8(z, x, y); - } - else if(x_sw <= 16 && x_size >= 16 && - y_sw <= 16 && y_size >= 16 && z_size >= 32) - { - bigint_comba_mul16(z, x, y); - } - else if(x_sw < KARATSUBA_MULTIPLY_THRESHOLD || - y_sw < KARATSUBA_MULTIPLY_THRESHOLD || - !workspace) - { - bigint_simple_mul(z, x, x_sw, y, y_sw); - } - else - { - const size_t N = karatsuba_size(z_size, x_size, x_sw, y_size, y_sw); - - if(N) - karatsuba_mul(z, x, y, N, workspace); - else - bigint_simple_mul(z, x, x_sw, y, y_sw); - } - } - -/* -* Squaring Algorithm Dispatcher -*/ -void bigint_sqr(word z[], size_t z_size, word workspace[], - const word x[], size_t x_size, size_t 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 if(x_sw <= 16 && x_size >= 16 && z_size >= 32) - { - bigint_comba_sqr16(z, x); - } - else if(x_size < KARATSUBA_SQUARE_THRESHOLD || !workspace) - { - bigint_simple_sqr(z, x, x_sw); - } - else - { - const size_t N = karatsuba_size(z_size, x_size, x_sw); - - if(N) - karatsuba_sqr(z, x, N, workspace); - else - bigint_simple_sqr(z, x, x_sw); - } - } - -} |