/*************************************************
* Karatsuba Squaring Source File                 *
* (C) 1999-2007 The Botan Project                *
*************************************************/

#include <botan/mp_core.h>
#include <botan/mem_ops.h>

namespace Botan {

namespace {

/*************************************************
* Simple O(N^2) Squaring                         *
*************************************************/
void bigint_simple_sqr(word z[], const word x[], u32bit x_size)
   {
   clear_mem(z, 2*x_size);

   for(u32bit j = 0; j != x_size; ++j)
      z[j+x_size] = bigint_mul_add_words(z + j, x, x_size, x[j]);
   }

/*************************************************
* 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_sqr(z, 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_sqr(z, 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_sw <= 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_sqr(z, x, x_sw);
   }

}