/* * BigInt Binary Operators * (C) 1999-2007 Jack Lloyd * * Distributed under the terms of the Botan license */ #include #include #include #include #include namespace Botan { /* * Addition Operator */ BigInt operator+(const BigInt& x, const BigInt& y) { const u32bit x_sw = x.sig_words(), y_sw = y.sig_words(); BigInt z(x.sign(), std::max(x_sw, y_sw) + 1); if((x.sign() == y.sign())) bigint_add3(z.get_reg(), x.data(), x_sw, y.data(), y_sw); else { s32bit relative_size = bigint_cmp(x.data(), x_sw, y.data(), y_sw); if(relative_size < 0) { bigint_sub3(z.get_reg(), y.data(), y_sw, x.data(), x_sw); z.set_sign(y.sign()); } else if(relative_size == 0) z.set_sign(BigInt::Positive); else if(relative_size > 0) bigint_sub3(z.get_reg(), x.data(), x_sw, y.data(), y_sw); } return z; } /* * Subtraction Operator */ BigInt operator-(const BigInt& x, const BigInt& y) { const u32bit x_sw = x.sig_words(), y_sw = y.sig_words(); s32bit relative_size = bigint_cmp(x.data(), x_sw, y.data(), y_sw); BigInt z(BigInt::Positive, std::max(x_sw, y_sw) + 1); if(relative_size < 0) { if(x.sign() == y.sign()) bigint_sub3(z.get_reg(), y.data(), y_sw, x.data(), x_sw); else bigint_add3(z.get_reg(), x.data(), x_sw, y.data(), y_sw); z.set_sign(y.reverse_sign()); } else if(relative_size == 0) { if(x.sign() != y.sign()) bigint_shl2(z.get_reg(), x.data(), x_sw, 0, 1); } else if(relative_size > 0) { if(x.sign() == y.sign()) bigint_sub3(z.get_reg(), x.data(), x_sw, y.data(), y_sw); else bigint_add3(z.get_reg(), x.data(), x_sw, y.data(), y_sw); z.set_sign(x.sign()); } return z; } /* * Multiplication Operator */ BigInt operator*(const BigInt& x, const BigInt& y) { const u32bit x_sw = x.sig_words(), y_sw = y.sig_words(); BigInt z(BigInt::Positive, x.size() + y.size()); if(x_sw == 1 && y_sw) bigint_linmul3(z.get_reg(), y.data(), y_sw, x.word_at(0)); else if(y_sw == 1 && x_sw) bigint_linmul3(z.get_reg(), x.data(), x_sw, y.word_at(0)); else if(x_sw && y_sw) { SecureVector workspace(z.size()); bigint_mul(z.get_reg(), z.size(), workspace, x.data(), x.size(), x_sw, y.data(), y.size(), y_sw); } if(x_sw && y_sw && x.sign() != y.sign()) z.flip_sign(); return z; } /* * Division Operator */ BigInt operator/(const BigInt& x, const BigInt& y) { BigInt q, r; divide(x, y, q, r); return q; } /* * Modulo Operator */ BigInt operator%(const BigInt& n, const BigInt& mod) { if(mod.is_zero()) throw BigInt::DivideByZero(); if(mod.is_negative()) throw Invalid_Argument("BigInt::operator%: modulus must be > 0"); if(n.is_positive() && mod.is_positive() && n < mod) return n; BigInt q, r; divide(n, mod, q, r); return r; } /* * Modulo Operator */ word operator%(const BigInt& n, word mod) { if(mod == 0) throw BigInt::DivideByZero(); if(power_of_2(mod)) return (n.word_at(0) & (mod - 1)); word remainder = 0; for(u32bit j = n.sig_words(); j > 0; --j) remainder = bigint_modop(remainder, n.word_at(j-1), mod); if(remainder && n.sign() == BigInt::Negative) return mod - remainder; return remainder; } /* * Left Shift Operator */ BigInt operator<<(const BigInt& x, u32bit shift) { if(shift == 0) return x; const u32bit shift_words = shift / MP_WORD_BITS, shift_bits = shift % MP_WORD_BITS; const u32bit x_sw = x.sig_words(); BigInt y(x.sign(), x_sw + shift_words + (shift_bits ? 1 : 0)); bigint_shl2(y.get_reg(), x.data(), x_sw, shift_words, shift_bits); return y; } /* * Right Shift Operator */ BigInt operator>>(const BigInt& x, u32bit shift) { if(shift == 0) return x; if(x.bits() <= shift) return 0; const u32bit shift_words = shift / MP_WORD_BITS, shift_bits = shift % MP_WORD_BITS, x_sw = x.sig_words(); BigInt y(x.sign(), x_sw - shift_words); bigint_shr2(y.get_reg(), x.data(), x_sw, shift_words, shift_bits); return y; } }