/************************************************* * MP Misc Functions Source File * * (C) 1999-2006 The Botan Project * *************************************************/ #include #include namespace Botan { extern "C" { /************************************************* * Core Division Operation * *************************************************/ u32bit bigint_divcore(word q, word y1, word y2, word x1, word x2, word x3) { word y0 = 0; y2 = word_madd2(q, y2, y0, &y0); y1 = word_madd2(q, y1, y0, &y0); if(y0 > x1) return 1; if(y0 < x1) return 0; if(y1 > x2) return 1; if(y1 < x2) return 0; if(y2 > x3) return 1; if(y2 < x3) return 0; return 0; } /************************************************* * Compare two MP integers * *************************************************/ s32bit bigint_cmp(const word x[], u32bit x_size, const word y[], u32bit 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(u32bit j = x_size; j > 0; --j) { if(x[j-1] > y[j-1]) return 1; if(x[j-1] < y[j-1]) return -1; } return 0; } /************************************************* * Do a 2-word/1-word Division * *************************************************/ word bigint_divop(word n1, word n0, word d) { word high = n1 % d; word quotient = 0; for(u32bit j = 0; j != MP_WORD_BITS; ++j) { const word mask = (word)1 << (MP_WORD_BITS-1-j); const bool high_top_bit = (high & MP_WORD_TOP_BIT) ? true : false; high = (high << 1) | ((n0 & mask) >> (MP_WORD_BITS-1-j)); if(high_top_bit || high >= d) { high -= d; quotient |= mask; } } return quotient; } /************************************************* * Do a 2-word/1-word Modulo * *************************************************/ word bigint_modop(word n1, word n0, word d) { word z = bigint_divop(n1, n0, d); word dummy = 0; z = word_madd2(z, d, dummy, &dummy); return (n0-z); } /************************************************* * Do a word*word->2-word Multiply * *************************************************/ void bigint_wordmul(word a, word b, word* out_low, word* out_high) { const u32bit MP_HWORD_BITS = MP_WORD_BITS / 2; const word MP_HWORD_MASK = ((word)1 << MP_HWORD_BITS) - 1; const word a_hi = (a >> MP_HWORD_BITS); const word a_lo = (a & MP_HWORD_MASK); const word b_hi = (b >> MP_HWORD_BITS); const word b_lo = (b & MP_HWORD_MASK); word x0 = a_hi * b_hi; word x1 = a_lo * b_hi; word x2 = a_hi * b_lo; word x3 = a_lo * b_lo; x2 += x3 >> (MP_HWORD_BITS); x2 += x1; if(x2 < x1) x0 += ((word)1 << MP_HWORD_BITS); *out_high = x0 + (x2 >> MP_HWORD_BITS); *out_low = ((x2 & MP_HWORD_MASK) << MP_HWORD_BITS) + (x3 & MP_HWORD_MASK); } } }