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Diffstat (limited to 'src/bigint/bigint.cpp')
-rw-r--r-- | src/bigint/bigint.cpp | 367 |
1 files changed, 367 insertions, 0 deletions
diff --git a/src/bigint/bigint.cpp b/src/bigint/bigint.cpp new file mode 100644 index 000000000..e3c7931e6 --- /dev/null +++ b/src/bigint/bigint.cpp @@ -0,0 +1,367 @@ +/************************************************* +* BigInt Base Source File * +* (C) 1999-2008 Jack Lloyd * +*************************************************/ + +#include <botan/bigint.h> +#include <botan/mp_core.h> +#include <botan/loadstor.h> +#include <botan/parsing.h> +#include <botan/util.h> + +namespace Botan { + +/************************************************* +* Construct a BigInt from a regular number * +*************************************************/ +BigInt::BigInt(u64bit n) + { + set_sign(Positive); + + if(n == 0) + return; + + const u32bit limbs_needed = sizeof(u64bit) / sizeof(word); + + reg.create(4*limbs_needed); + for(u32bit j = 0; j != limbs_needed; ++j) + reg[j] = ((n >> (j*MP_WORD_BITS)) & MP_WORD_MASK); + } + +/************************************************* +* Construct a BigInt of the specified size * +*************************************************/ +BigInt::BigInt(Sign s, u32bit size) + { + reg.create(round_up(size, 8)); + signedness = s; + } + +/************************************************* +* Construct a BigInt from a "raw" BigInt * +*************************************************/ +BigInt::BigInt(const BigInt& b) + { + const u32bit b_words = b.sig_words(); + + if(b_words) + { + reg.create(round_up(b_words, 8)); + reg.copy(b.data(), b_words); + set_sign(b.sign()); + } + else + { + reg.create(2); + set_sign(Positive); + } + } + +/************************************************* +* Construct a BigInt from a string * +*************************************************/ +BigInt::BigInt(const std::string& str) + { + Base base = Decimal; + u32bit markers = 0; + bool negative = false; + if(str.length() > 0 && str[0] == '-') { markers += 1; negative = true; } + + if(str.length() > markers + 2 && str[markers ] == '0' && + str[markers + 1] == 'x') + { markers += 2; base = Hexadecimal; } + else if(str.length() > markers + 1 && str[markers] == '0') + { markers += 1; base = Octal; } + + *this = decode(reinterpret_cast<const byte*>(str.data()) + markers, + str.length() - markers, base); + + if(negative) set_sign(Negative); + else set_sign(Positive); + } + +/************************************************* +* Construct a BigInt from an encoded BigInt * +*************************************************/ +BigInt::BigInt(const byte input[], u32bit length, Base base) + { + set_sign(Positive); + *this = decode(input, length, base); + } + +/************************************************* +* Construct a BigInt from an encoded BigInt * +*************************************************/ +BigInt::BigInt(RandomNumberGenerator& rng, u32bit bits) + { + set_sign(Positive); + randomize(rng, bits); + } + +/************************************************* +* Swap this BigInt with another * +*************************************************/ +void BigInt::swap(BigInt& other) + { + reg.swap(other.reg); + std::swap(signedness, other.signedness); + } + +/************************************************* +* Grow the internal storage * +*************************************************/ +void BigInt::grow_reg(u32bit n) + { + reg.grow_to(round_up(size() + n, 8)); + } + +/************************************************* +* Grow the internal storage * +*************************************************/ +void BigInt::grow_to(u32bit n) + { + if(n > size()) + reg.grow_to(round_up(n, 8)); + } + +/************************************************* +* Comparison Function * +*************************************************/ +s32bit BigInt::cmp(const BigInt& n, bool check_signs) const + { + if(check_signs) + { + if(n.is_positive() && this->is_negative()) return -1; + if(n.is_negative() && this->is_positive()) return 1; + if(n.is_negative() && this->is_negative()) + return (-bigint_cmp(data(), sig_words(), n.data(), n.sig_words())); + } + return bigint_cmp(data(), sig_words(), n.data(), n.sig_words()); + } + +/************************************************* +* Convert this number to a u32bit, if possible * +*************************************************/ +u32bit BigInt::to_u32bit() const + { + if(is_negative()) + throw Encoding_Error("BigInt::to_u32bit: Number is negative"); + if(bits() >= 32) + throw Encoding_Error("BigInt::to_u32bit: Number is too big to convert"); + + u32bit out = 0; + for(u32bit j = 0; j != 4; ++j) + out = (out << 8) | byte_at(3-j); + return out; + } + +/************************************************* +* Return byte n of this number * +*************************************************/ +byte BigInt::byte_at(u32bit n) const + { + const u32bit WORD_BYTES = sizeof(word); + u32bit word_num = n / WORD_BYTES, byte_num = n % WORD_BYTES; + if(word_num >= size()) + return 0; + else + return get_byte(WORD_BYTES - byte_num - 1, reg[word_num]); + } + +/************************************************* +* Return bit n of this number * +*************************************************/ +bool BigInt::get_bit(u32bit n) const + { + return ((word_at(n / MP_WORD_BITS) >> (n % MP_WORD_BITS)) & 1); + } + +/************************************************* +* Return bits {offset...offset+length} * +*************************************************/ +u32bit BigInt::get_substring(u32bit offset, u32bit length) const + { + if(length > 32) + throw Invalid_Argument("BigInt::get_substring: Substring size too big"); + + u64bit piece = 0; + for(u32bit j = 0; j != 8; ++j) + piece = (piece << 8) | byte_at((offset / 8) + (7-j)); + + u64bit mask = (1 << length) - 1; + u32bit shift = (offset % 8); + + return static_cast<u32bit>((piece >> shift) & mask); + } + +/************************************************* +* Set bit number n * +*************************************************/ +void BigInt::set_bit(u32bit n) + { + const u32bit which = n / MP_WORD_BITS; + const word mask = static_cast<word>(1) << (n % MP_WORD_BITS); + if(which >= size()) grow_to(which + 1); + reg[which] |= mask; + } + +/************************************************* +* Clear bit number n * +*************************************************/ +void BigInt::clear_bit(u32bit n) + { + const u32bit which = n / MP_WORD_BITS; + const word mask = static_cast<word>(1) << (n % MP_WORD_BITS); + if(which < size()) + reg[which] &= ~mask; + } + +/************************************************* +* Clear all but the lowest n bits * +*************************************************/ +void BigInt::mask_bits(u32bit n) + { + if(n == 0) { clear(); return; } + if(n >= bits()) return; + + const u32bit top_word = n / MP_WORD_BITS; + const word mask = (static_cast<word>(1) << (n % MP_WORD_BITS)) - 1; + + if(top_word < size()) + for(u32bit j = top_word + 1; j != size(); ++j) + reg[j] = 0; + + reg[top_word] &= mask; + } + +/************************************************* +* Count how many bytes are being used * +*************************************************/ +u32bit BigInt::bytes() const + { + return (bits() + 7) / 8; + } + +/************************************************* +* Count how many bits are being used * +*************************************************/ +u32bit BigInt::bits() const + { + if(sig_words() == 0) + return 0; + + u32bit full_words = sig_words() - 1, top_bits = MP_WORD_BITS; + word top_word = word_at(full_words), mask = MP_WORD_TOP_BIT; + + while(top_bits && ((top_word & mask) == 0)) + { mask >>= 1; top_bits--; } + + return (full_words * MP_WORD_BITS + top_bits); + } + +/************************************************* +* Calcluate the size in a certain base * +*************************************************/ +u32bit BigInt::encoded_size(Base base) const + { + static const double LOG_2_BASE_10 = 0.30102999566; + + if(base == Binary) + return bytes(); + else if(base == Hexadecimal) + return 2*bytes(); + else if(base == Octal) + return ((bits() + 2) / 3); + else if(base == Decimal) + return static_cast<u32bit>((bits() * LOG_2_BASE_10) + 1); + else + throw Invalid_Argument("Unknown base for BigInt encoding"); + } + +/************************************************* +* Set the sign * +*************************************************/ +void BigInt::set_sign(Sign s) + { + if(is_zero()) + signedness = Positive; + else + signedness = s; + } + +/************************************************* +* Reverse the value of the sign flag * +*************************************************/ +void BigInt::flip_sign() + { + set_sign(reverse_sign()); + } + +/************************************************* +* Return the opposite value of the current sign * +*************************************************/ +BigInt::Sign BigInt::reverse_sign() const + { + if(sign() == Positive) + return Negative; + return Positive; + } + +/************************************************* +* Return the negation of this number * +*************************************************/ +BigInt BigInt::operator-() const + { + BigInt x = (*this); + x.flip_sign(); + return x; + } + +/************************************************* +* Return the absolute value of this number * +*************************************************/ +BigInt BigInt::abs() const + { + BigInt x = (*this); + x.set_sign(Positive); + return x; + } + +/************************************************* +* Encode this number into bytes * +*************************************************/ +void BigInt::binary_encode(byte output[]) const + { + const u32bit sig_bytes = bytes(); + for(u32bit j = 0; j != sig_bytes; ++j) + output[sig_bytes-j-1] = byte_at(j); + } + +/************************************************* +* Set this number to the value in buf * +*************************************************/ +void BigInt::binary_decode(const byte buf[], u32bit length) + { + const u32bit WORD_BYTES = sizeof(word); + + reg.create(round_up((length / WORD_BYTES) + 1, 8)); + + for(u32bit j = 0; j != length / WORD_BYTES; ++j) + { + u32bit top = length - WORD_BYTES*j; + for(u32bit k = WORD_BYTES; k > 0; --k) + reg[j] = (reg[j] << 8) | buf[top - k]; + } + for(u32bit j = 0; j != length % WORD_BYTES; ++j) + reg[length / WORD_BYTES] = (reg[length / WORD_BYTES] << 8) | buf[j]; + } + +/************************************************* +* Set this number to the value in buf * +*************************************************/ +void BigInt::binary_decode(const MemoryRegion<byte>& buf) + { + binary_decode(buf, buf.size()); + } + +} |