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-rw-r--r--src/lib/math/bigint/big_code.cpp150
-rw-r--r--src/lib/math/bigint/big_io.cpp55
-rw-r--r--src/lib/math/bigint/big_ops2.cpp221
-rw-r--r--src/lib/math/bigint/big_ops3.cpp191
-rw-r--r--src/lib/math/bigint/big_rand.cpp48
-rw-r--r--src/lib/math/bigint/bigint.cpp350
-rw-r--r--src/lib/math/bigint/bigint.h570
-rw-r--r--src/lib/math/bigint/divide.cpp140
-rw-r--r--src/lib/math/bigint/divide.h29
-rw-r--r--src/lib/math/bigint/info.txt25
10 files changed, 1779 insertions, 0 deletions
diff --git a/src/lib/math/bigint/big_code.cpp b/src/lib/math/bigint/big_code.cpp
new file mode 100644
index 000000000..972312cdb
--- /dev/null
+++ b/src/lib/math/bigint/big_code.cpp
@@ -0,0 +1,150 @@
+/*
+* BigInt Encoding/Decoding
+* (C) 1999-2010,2012 Jack Lloyd
+*
+* Distributed under the terms of the Botan license
+*/
+
+#include <botan/bigint.h>
+#include <botan/divide.h>
+#include <botan/charset.h>
+#include <botan/hex.h>
+
+namespace Botan {
+
+/*
+* Encode a BigInt
+*/
+void BigInt::encode(byte output[], const BigInt& n, Base base)
+ {
+ if(base == Binary)
+ {
+ n.binary_encode(output);
+ }
+ else if(base == Hexadecimal)
+ {
+ secure_vector<byte> binary(n.encoded_size(Binary));
+ n.binary_encode(&binary[0]);
+
+ hex_encode(reinterpret_cast<char*>(output),
+ &binary[0], binary.size());
+ }
+ else if(base == Decimal)
+ {
+ BigInt copy = n;
+ BigInt remainder;
+ copy.set_sign(Positive);
+ const size_t output_size = n.encoded_size(Decimal);
+ for(size_t j = 0; j != output_size; ++j)
+ {
+ divide(copy, 10, copy, remainder);
+ output[output_size - 1 - j] =
+ Charset::digit2char(static_cast<byte>(remainder.word_at(0)));
+ if(copy.is_zero())
+ break;
+ }
+ }
+ else
+ throw Invalid_Argument("Unknown BigInt encoding method");
+ }
+
+/*
+* Encode a BigInt
+*/
+std::vector<byte> BigInt::encode(const BigInt& n, Base base)
+ {
+ std::vector<byte> output(n.encoded_size(base));
+ encode(&output[0], n, base);
+ if(base != Binary)
+ for(size_t j = 0; j != output.size(); ++j)
+ if(output[j] == 0)
+ output[j] = '0';
+ return output;
+ }
+
+/*
+* Encode a BigInt
+*/
+secure_vector<byte> BigInt::encode_locked(const BigInt& n, Base base)
+ {
+ secure_vector<byte> output(n.encoded_size(base));
+ encode(&output[0], n, base);
+ if(base != Binary)
+ for(size_t j = 0; j != output.size(); ++j)
+ if(output[j] == 0)
+ output[j] = '0';
+ return output;
+ }
+
+/*
+* Encode a BigInt, with leading 0s if needed
+*/
+secure_vector<byte> BigInt::encode_1363(const BigInt& n, size_t bytes)
+ {
+ const size_t n_bytes = n.bytes();
+ if(n_bytes > bytes)
+ throw Encoding_Error("encode_1363: n is too large to encode properly");
+
+ const size_t leading_0s = bytes - n_bytes;
+
+ secure_vector<byte> output(bytes);
+ encode(&output[leading_0s], n, Binary);
+ return output;
+ }
+
+/*
+* Decode a BigInt
+*/
+BigInt BigInt::decode(const byte buf[], size_t length, Base base)
+ {
+ BigInt r;
+ if(base == Binary)
+ r.binary_decode(buf, length);
+ else if(base == Hexadecimal)
+ {
+ secure_vector<byte> binary;
+
+ if(length % 2)
+ {
+ // Handle lack of leading 0
+ const char buf0_with_leading_0[2] =
+ { '0', static_cast<char>(buf[0]) };
+
+ binary = hex_decode_locked(buf0_with_leading_0, 2);
+
+ binary += hex_decode_locked(reinterpret_cast<const char*>(&buf[1]),
+ length - 1,
+ false);
+ }
+ else
+ binary = hex_decode_locked(reinterpret_cast<const char*>(buf),
+ length, false);
+
+ r.binary_decode(&binary[0], binary.size());
+ }
+ else if(base == Decimal)
+ {
+ for(size_t i = 0; i != length; ++i)
+ {
+ if(Charset::is_space(buf[i]))
+ continue;
+
+ if(!Charset::is_digit(buf[i]))
+ throw Invalid_Argument("BigInt::decode: "
+ "Invalid character in decimal input");
+
+ const byte x = Charset::char2digit(buf[i]);
+
+ if(x >= 10)
+ throw Invalid_Argument("BigInt: Invalid decimal string");
+
+ r *= 10;
+ r += x;
+ }
+ }
+ else
+ throw Invalid_Argument("Unknown BigInt decoding method");
+ return r;
+ }
+
+}
diff --git a/src/lib/math/bigint/big_io.cpp b/src/lib/math/bigint/big_io.cpp
new file mode 100644
index 000000000..b561c218f
--- /dev/null
+++ b/src/lib/math/bigint/big_io.cpp
@@ -0,0 +1,55 @@
+/*
+* BigInt Input/Output
+* (C) 1999-2007 Jack Lloyd
+*
+* Distributed under the terms of the Botan license
+*/
+
+#include <botan/bigint.h>
+#include <iostream>
+
+namespace Botan {
+
+/*
+* Write the BigInt into a stream
+*/
+std::ostream& operator<<(std::ostream& stream, const BigInt& n)
+ {
+ BigInt::Base base = BigInt::Decimal;
+ if(stream.flags() & std::ios::hex)
+ base = BigInt::Hexadecimal;
+ else if(stream.flags() & std::ios::oct)
+ throw std::runtime_error("Octal output of BigInt not supported");
+
+ if(n == 0)
+ stream.write("0", 1);
+ else
+ {
+ if(n < 0)
+ stream.write("-", 1);
+ const std::vector<byte> buffer = BigInt::encode(n, base);
+ size_t skip = 0;
+ while(skip < buffer.size() && buffer[skip] == '0')
+ ++skip;
+ stream.write(reinterpret_cast<const char*>(&buffer[0]) + skip,
+ buffer.size() - skip);
+ }
+ if(!stream.good())
+ throw Stream_IO_Error("BigInt output operator has failed");
+ return stream;
+ }
+
+/*
+* Read the BigInt from a stream
+*/
+std::istream& operator>>(std::istream& stream, BigInt& n)
+ {
+ std::string str;
+ std::getline(stream, str);
+ if(stream.bad() || (stream.fail() && !stream.eof()))
+ throw Stream_IO_Error("BigInt input operator has failed");
+ n = BigInt(str);
+ return stream;
+ }
+
+}
diff --git a/src/lib/math/bigint/big_ops2.cpp b/src/lib/math/bigint/big_ops2.cpp
new file mode 100644
index 000000000..37b6a5df1
--- /dev/null
+++ b/src/lib/math/bigint/big_ops2.cpp
@@ -0,0 +1,221 @@
+/*
+* BigInt Assignment Operators
+* (C) 1999-2007 Jack Lloyd
+*
+* Distributed under the terms of the Botan license
+*/
+
+#include <botan/bigint.h>
+#include <botan/internal/mp_core.h>
+#include <botan/internal/bit_ops.h>
+#include <algorithm>
+
+namespace Botan {
+
+/*
+* Addition Operator
+*/
+BigInt& BigInt::operator+=(const BigInt& y)
+ {
+ const size_t x_sw = sig_words(), y_sw = y.sig_words();
+
+ const size_t reg_size = std::max(x_sw, y_sw) + 1;
+ grow_to(reg_size);
+
+ if(sign() == y.sign())
+ bigint_add2(mutable_data(), reg_size - 1, y.data(), y_sw);
+ else
+ {
+ s32bit relative_size = bigint_cmp(data(), x_sw, y.data(), y_sw);
+
+ if(relative_size < 0)
+ {
+ secure_vector<word> z(reg_size - 1);
+ bigint_sub3(&z[0], y.data(), reg_size - 1, data(), x_sw);
+ std::swap(m_reg, z);
+ set_sign(y.sign());
+ }
+ else if(relative_size == 0)
+ {
+ zeroise(m_reg);
+ set_sign(Positive);
+ }
+ else if(relative_size > 0)
+ bigint_sub2(mutable_data(), x_sw, y.data(), y_sw);
+ }
+
+ return (*this);
+ }
+
+/*
+* Subtraction Operator
+*/
+BigInt& BigInt::operator-=(const BigInt& y)
+ {
+ const size_t x_sw = sig_words(), y_sw = y.sig_words();
+
+ s32bit relative_size = bigint_cmp(data(), x_sw, y.data(), y_sw);
+
+ const size_t reg_size = std::max(x_sw, y_sw) + 1;
+ grow_to(reg_size);
+
+ if(relative_size < 0)
+ {
+ if(sign() == y.sign())
+ bigint_sub2_rev(mutable_data(), y.data(), y_sw);
+ else
+ bigint_add2(mutable_data(), reg_size - 1, y.data(), y_sw);
+
+ set_sign(y.reverse_sign());
+ }
+ else if(relative_size == 0)
+ {
+ if(sign() == y.sign())
+ {
+ clear();
+ set_sign(Positive);
+ }
+ else
+ bigint_shl1(mutable_data(), x_sw, 0, 1);
+ }
+ else if(relative_size > 0)
+ {
+ if(sign() == y.sign())
+ bigint_sub2(mutable_data(), x_sw, y.data(), y_sw);
+ else
+ bigint_add2(mutable_data(), reg_size - 1, y.data(), y_sw);
+ }
+
+ return (*this);
+ }
+
+/*
+* Multiplication Operator
+*/
+BigInt& BigInt::operator*=(const BigInt& y)
+ {
+ const size_t x_sw = sig_words(), y_sw = y.sig_words();
+ set_sign((sign() == y.sign()) ? Positive : Negative);
+
+ if(x_sw == 0 || y_sw == 0)
+ {
+ clear();
+ set_sign(Positive);
+ }
+ else if(x_sw == 1 && y_sw)
+ {
+ grow_to(y_sw + 2);
+ bigint_linmul3(mutable_data(), y.data(), y_sw, word_at(0));
+ }
+ else if(y_sw == 1 && x_sw)
+ {
+ grow_to(x_sw + 2);
+ bigint_linmul2(mutable_data(), x_sw, y.word_at(0));
+ }
+ else
+ {
+ grow_to(size() + y.size());
+
+ secure_vector<word> z(data(), data() + x_sw);
+ secure_vector<word> workspace(size());
+
+ bigint_mul(mutable_data(), size(), &workspace[0],
+ &z[0], z.size(), x_sw,
+ y.data(), y.size(), y_sw);
+ }
+
+ return (*this);
+ }
+
+/*
+* Division Operator
+*/
+BigInt& BigInt::operator/=(const BigInt& y)
+ {
+ if(y.sig_words() == 1 && is_power_of_2(y.word_at(0)))
+ (*this) >>= (y.bits() - 1);
+ else
+ (*this) = (*this) / y;
+ return (*this);
+ }
+
+/*
+* Modulo Operator
+*/
+BigInt& BigInt::operator%=(const BigInt& mod)
+ {
+ return (*this = (*this) % mod);
+ }
+
+/*
+* Modulo Operator
+*/
+word BigInt::operator%=(word mod)
+ {
+ if(mod == 0)
+ throw BigInt::DivideByZero();
+
+ if(is_power_of_2(mod))
+ {
+ word result = (word_at(0) & (mod - 1));
+ clear();
+ grow_to(2);
+ m_reg[0] = result;
+ return result;
+ }
+
+ word remainder = 0;
+
+ for(size_t j = sig_words(); j > 0; --j)
+ remainder = bigint_modop(remainder, word_at(j-1), mod);
+ clear();
+ grow_to(2);
+
+ if(remainder && sign() == BigInt::Negative)
+ m_reg[0] = mod - remainder;
+ else
+ m_reg[0] = remainder;
+
+ set_sign(BigInt::Positive);
+
+ return word_at(0);
+ }
+
+/*
+* Left Shift Operator
+*/
+BigInt& BigInt::operator<<=(size_t shift)
+ {
+ if(shift)
+ {
+ const size_t shift_words = shift / MP_WORD_BITS,
+ shift_bits = shift % MP_WORD_BITS,
+ words = sig_words();
+
+ grow_to(words + shift_words + (shift_bits ? 1 : 0));
+ bigint_shl1(mutable_data(), words, shift_words, shift_bits);
+ }
+
+ return (*this);
+ }
+
+/*
+* Right Shift Operator
+*/
+BigInt& BigInt::operator>>=(size_t shift)
+ {
+ if(shift)
+ {
+ const size_t shift_words = shift / MP_WORD_BITS,
+ shift_bits = shift % MP_WORD_BITS;
+
+ bigint_shr1(mutable_data(), sig_words(), shift_words, shift_bits);
+
+ if(is_zero())
+ set_sign(Positive);
+ }
+
+ return (*this);
+ }
+
+}
diff --git a/src/lib/math/bigint/big_ops3.cpp b/src/lib/math/bigint/big_ops3.cpp
new file mode 100644
index 000000000..cad730197
--- /dev/null
+++ b/src/lib/math/bigint/big_ops3.cpp
@@ -0,0 +1,191 @@
+/*
+* BigInt Binary Operators
+* (C) 1999-2007 Jack Lloyd
+*
+* Distributed under the terms of the Botan license
+*/
+
+#include <botan/bigint.h>
+#include <botan/divide.h>
+#include <botan/internal/mp_core.h>
+#include <botan/internal/bit_ops.h>
+#include <algorithm>
+
+namespace Botan {
+
+/*
+* Addition Operator
+*/
+BigInt operator+(const BigInt& x, const BigInt& y)
+ {
+ const size_t 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.mutable_data(), 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.mutable_data(), 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.mutable_data(), x.data(), x_sw, y.data(), y_sw);
+ }
+
+ return z;
+ }
+
+/*
+* Subtraction Operator
+*/
+BigInt operator-(const BigInt& x, const BigInt& y)
+ {
+ const size_t 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.mutable_data(), y.data(), y_sw, x.data(), x_sw);
+ else
+ bigint_add3(z.mutable_data(), 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.mutable_data(), x.data(), x_sw, 0, 1);
+ }
+ else if(relative_size > 0)
+ {
+ if(x.sign() == y.sign())
+ bigint_sub3(z.mutable_data(), x.data(), x_sw, y.data(), y_sw);
+ else
+ bigint_add3(z.mutable_data(), 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 size_t 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.mutable_data(), y.data(), y_sw, x.word_at(0));
+ else if(y_sw == 1 && x_sw)
+ bigint_linmul3(z.mutable_data(), x.data(), x_sw, y.word_at(0));
+ else if(x_sw && y_sw)
+ {
+ secure_vector<word> workspace(z.size());
+ bigint_mul(z.mutable_data(), z.size(), &workspace[0],
+ 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(is_power_of_2(mod))
+ return (n.word_at(0) & (mod - 1));
+
+ word remainder = 0;
+
+ for(size_t 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, size_t shift)
+ {
+ if(shift == 0)
+ return x;
+
+ const size_t shift_words = shift / MP_WORD_BITS,
+ shift_bits = shift % MP_WORD_BITS;
+
+ const size_t x_sw = x.sig_words();
+
+ BigInt y(x.sign(), x_sw + shift_words + (shift_bits ? 1 : 0));
+ bigint_shl2(y.mutable_data(), x.data(), x_sw, shift_words, shift_bits);
+ return y;
+ }
+
+/*
+* Right Shift Operator
+*/
+BigInt operator>>(const BigInt& x, size_t shift)
+ {
+ if(shift == 0)
+ return x;
+ if(x.bits() <= shift)
+ return 0;
+
+ const size_t 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.mutable_data(), x.data(), x_sw, shift_words, shift_bits);
+ return y;
+ }
+
+}
diff --git a/src/lib/math/bigint/big_rand.cpp b/src/lib/math/bigint/big_rand.cpp
new file mode 100644
index 000000000..78b9ee244
--- /dev/null
+++ b/src/lib/math/bigint/big_rand.cpp
@@ -0,0 +1,48 @@
+/*
+* BigInt Random Generation
+* (C) 1999-2007 Jack Lloyd
+*
+* Distributed under the terms of the Botan license
+*/
+
+#include <botan/bigint.h>
+#include <botan/parsing.h>
+
+namespace Botan {
+
+/*
+* Randomize this number
+*/
+void BigInt::randomize(RandomNumberGenerator& rng,
+ size_t bitsize)
+ {
+ set_sign(Positive);
+
+ if(bitsize == 0)
+ clear();
+ else
+ {
+ secure_vector<byte> array = rng.random_vec((bitsize + 7) / 8);
+
+ if(bitsize % 8)
+ array[0] &= 0xFF >> (8 - (bitsize % 8));
+ array[0] |= 0x80 >> ((bitsize % 8) ? (8 - bitsize % 8) : 0);
+ binary_decode(&array[0], array.size());
+ }
+ }
+
+/*
+* Generate a random integer within given range
+*/
+BigInt BigInt::random_integer(RandomNumberGenerator& rng,
+ const BigInt& min, const BigInt& max)
+ {
+ BigInt range = max - min;
+
+ if(range <= 0)
+ throw Invalid_Argument("random_integer: invalid min/max values");
+
+ return (min + (BigInt(rng, range.bits() + 2) % range));
+ }
+
+}
diff --git a/src/lib/math/bigint/bigint.cpp b/src/lib/math/bigint/bigint.cpp
new file mode 100644
index 000000000..45c351256
--- /dev/null
+++ b/src/lib/math/bigint/bigint.cpp
@@ -0,0 +1,350 @@
+/*
+* BigInt Base
+* (C) 1999-2011,2012 Jack Lloyd
+*
+* Distributed under the terms of the Botan license
+*/
+
+#include <botan/bigint.h>
+#include <botan/internal/mp_core.h>
+#include <botan/get_byte.h>
+#include <botan/parsing.h>
+#include <botan/internal/rounding.h>
+
+namespace Botan {
+
+/*
+* Construct a BigInt from a regular number
+*/
+BigInt::BigInt(u64bit n)
+ {
+ set_sign(Positive);
+
+ if(n == 0)
+ return;
+
+ const size_t limbs_needed = sizeof(u64bit) / sizeof(word);
+
+ m_reg.resize(4*limbs_needed);
+ for(size_t i = 0; i != limbs_needed; ++i)
+ m_reg[i] = ((n >> (i*MP_WORD_BITS)) & MP_WORD_MASK);
+ }
+
+/*
+* Construct a BigInt of the specified size
+*/
+BigInt::BigInt(Sign s, size_t size)
+ {
+ m_reg.resize(round_up<size_t>(size, 8));
+ m_signedness = s;
+ }
+
+/*
+* Copy constructor
+*/
+BigInt::BigInt(const BigInt& other)
+ {
+ m_reg = other.m_reg;
+ m_signedness = other.m_signedness;
+ }
+
+/*
+* Construct a BigInt from a string
+*/
+BigInt::BigInt(const std::string& str)
+ {
+ Base base = Decimal;
+ size_t 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;
+ }
+
+ *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[], size_t length, Base base)
+ {
+ set_sign(Positive);
+ *this = decode(input, length, base);
+ }
+
+/*
+* Construct a BigInt from an encoded BigInt
+*/
+BigInt::BigInt(RandomNumberGenerator& rng, size_t bits)
+ {
+ set_sign(Positive);
+ randomize(rng, bits);
+ }
+
+/*
+* Grow the internal storage
+*/
+void BigInt::grow_to(size_t n)
+ {
+ if(n > size())
+ m_reg.resize(round_up<size_t>(n, 8));
+ }
+
+/*
+* Comparison Function
+*/
+s32bit BigInt::cmp(const BigInt& other, bool check_signs) const
+ {
+ if(check_signs)
+ {
+ if(other.is_positive() && this->is_negative())
+ return -1;
+
+ if(other.is_negative() && this->is_positive())
+ return 1;
+
+ if(other.is_negative() && this->is_negative())
+ return (-bigint_cmp(this->data(), this->sig_words(),
+ other.data(), other.sig_words()));
+ }
+
+ return bigint_cmp(this->data(), this->sig_words(),
+ other.data(), other.sig_words());
+ }
+
+/*
+* Return byte n of this number
+*/
+byte BigInt::byte_at(size_t n) const
+ {
+ const size_t WORD_BYTES = sizeof(word);
+ size_t 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, m_reg[word_num]);
+ }
+
+/*
+* Return bit n of this number
+*/
+bool BigInt::get_bit(size_t n) const
+ {
+ return ((word_at(n / MP_WORD_BITS) >> (n % MP_WORD_BITS)) & 1);
+ }
+
+/*
+* Return bits {offset...offset+length}
+*/
+u32bit BigInt::get_substring(size_t offset, size_t length) const
+ {
+ if(length > 32)
+ throw Invalid_Argument("BigInt::get_substring: Substring size too big");
+
+ u64bit piece = 0;
+ for(size_t i = 0; i != 8; ++i)
+ {
+ const byte part = byte_at((offset / 8) + (7-i));
+ piece = (piece << 8) | part;
+ }
+
+ const u64bit mask = (static_cast<u64bit>(1) << length) - 1;
+ const size_t shift = (offset % 8);
+
+ return static_cast<u32bit>((piece >> shift) & mask);
+ }
+
+/*
+* 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;
+ }
+
+/*
+* Set bit number n
+*/
+void BigInt::set_bit(size_t n)
+ {
+ const size_t which = n / MP_WORD_BITS;
+ const word mask = static_cast<word>(1) << (n % MP_WORD_BITS);
+ if(which >= size()) grow_to(which + 1);
+ m_reg[which] |= mask;
+ }
+
+/*
+* Clear bit number n
+*/
+void BigInt::clear_bit(size_t n)
+ {
+ const size_t which = n / MP_WORD_BITS;
+ const word mask = static_cast<word>(1) << (n % MP_WORD_BITS);
+ if(which < size())
+ m_reg[which] &= ~mask;
+ }
+
+/*
+* Clear all but the lowest n bits
+*/
+void BigInt::mask_bits(size_t n)
+ {
+ if(n == 0) { clear(); return; }
+ if(n >= bits()) return;
+
+ const size_t top_word = n / MP_WORD_BITS;
+ const word mask = (static_cast<word>(1) << (n % MP_WORD_BITS)) - 1;
+
+ if(top_word < size())
+ clear_mem(&m_reg[top_word+1], size() - (top_word + 1));
+
+ m_reg[top_word] &= mask;
+ }
+
+/*
+* Count how many bytes are being used
+*/
+size_t BigInt::bytes() const
+ {
+ return (bits() + 7) / 8;
+ }
+
+/*
+* Count how many bits are being used
+*/
+size_t BigInt::bits() const
+ {
+ const size_t words = sig_words();
+
+ if(words == 0)
+ return 0;
+
+ size_t full_words = 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
+*/
+size_t 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 == Decimal)
+ return static_cast<size_t>((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())
+ m_signedness = Positive;
+ else
+ m_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 size_t sig_bytes = bytes();
+ for(size_t i = 0; i != sig_bytes; ++i)
+ output[sig_bytes-i-1] = byte_at(i);
+ }
+
+/*
+* Set this number to the value in buf
+*/
+void BigInt::binary_decode(const byte buf[], size_t length)
+ {
+ const size_t WORD_BYTES = sizeof(word);
+
+ clear();
+ m_reg.resize(round_up<size_t>((length / WORD_BYTES) + 1, 8));
+
+ for(size_t i = 0; i != length / WORD_BYTES; ++i)
+ {
+ const size_t top = length - WORD_BYTES*i;
+ for(size_t j = WORD_BYTES; j > 0; --j)
+ m_reg[i] = (m_reg[i] << 8) | buf[top - j];
+ }
+
+ for(size_t i = 0; i != length % WORD_BYTES; ++i)
+ m_reg[length / WORD_BYTES] = (m_reg[length / WORD_BYTES] << 8) | buf[i];
+ }
+
+}
diff --git a/src/lib/math/bigint/bigint.h b/src/lib/math/bigint/bigint.h
new file mode 100644
index 000000000..08b7d53fc
--- /dev/null
+++ b/src/lib/math/bigint/bigint.h
@@ -0,0 +1,570 @@
+/*
+* BigInt
+* (C) 1999-2008,2012 Jack Lloyd
+* 2007 FlexSecure
+*
+* Distributed under the terms of the Botan license
+*/
+
+#ifndef BOTAN_BIGINT_H__
+#define BOTAN_BIGINT_H__
+
+#include <botan/rng.h>
+#include <botan/secmem.h>
+#include <botan/mp_types.h>
+#include <iosfwd>
+
+namespace Botan {
+
+/**
+* Arbitrary precision integer
+*/
+class BOTAN_DLL BigInt
+ {
+ public:
+ /**
+ * Base enumerator for encoding and decoding
+ */
+ enum Base { Decimal = 10, Hexadecimal = 16, Binary = 256 };
+
+ /**
+ * Sign symbol definitions for positive and negative numbers
+ */
+ enum Sign { Negative = 0, Positive = 1 };
+
+ /**
+ * DivideByZero Exception
+ */
+ struct BOTAN_DLL DivideByZero : public Exception
+ { DivideByZero() : Exception("BigInt divide by zero") {} };
+
+ /**
+ * Create empty BigInt
+ */
+ BigInt() { m_signedness = Positive; }
+
+ /**
+ * Create BigInt from 64 bit integer
+ * @param n initial value of this BigInt
+ */
+ BigInt(u64bit n);
+
+ /**
+ * Copy Constructor
+ * @param other the BigInt to copy
+ */
+ BigInt(const BigInt& other);
+
+ /**
+ * Create BigInt from a string. If the string starts with 0x the
+ * rest of the string will be interpreted as hexadecimal digits.
+ * Otherwise, it will be interpreted as a decimal number.
+ *
+ * @param str the string to parse for an integer value
+ */
+ BigInt(const std::string& str);
+
+ /**
+ * Create a BigInt from an integer in a byte array
+ * @param buf the byte array holding the value
+ * @param length size of buf
+ * @param base is the number base of the integer in buf
+ */
+ BigInt(const byte buf[], size_t length, Base base = Binary);
+
+ /**
+ * Create a random BigInt of the specified size
+ * @param rng random number generator
+ * @param bits size in bits
+ */
+ BigInt(RandomNumberGenerator& rng, size_t bits);
+
+ /**
+ * Create BigInt of specified size, all zeros
+ * @param sign the sign
+ * @param n size of the internal register in words
+ */
+ BigInt(Sign sign, size_t n);
+
+ /**
+ * Move constructor
+ */
+ BigInt(BigInt&& other)
+ {
+ this->swap(other);
+ }
+
+ /**
+ * Move assignment
+ */
+ BigInt& operator=(BigInt&& other)
+ {
+ if(this != &other)
+ this->swap(other);
+
+ return (*this);
+ }
+
+ /**
+ * Copy assignment
+ */
+ BigInt& operator=(const BigInt&) = default;
+
+ /**
+ * Swap this value with another
+ * @param other BigInt to swap values with
+ */
+ void swap(BigInt& other)
+ {
+ m_reg.swap(other.m_reg);
+ std::swap(m_signedness, other.m_signedness);
+ }
+
+ /**
+ * += operator
+ * @param y the BigInt to add to this
+ */
+ BigInt& operator+=(const BigInt& y);
+
+ /**
+ * -= operator
+ * @param y the BigInt to subtract from this
+ */
+ BigInt& operator-=(const BigInt& y);
+
+ /**
+ * *= operator
+ * @param y the BigInt to multiply with this
+ */
+ BigInt& operator*=(const BigInt& y);
+
+ /**
+ * /= operator
+ * @param y the BigInt to divide this by
+ */
+ BigInt& operator/=(const BigInt& y);
+
+ /**
+ * Modulo operator
+ * @param y the modulus to reduce this by
+ */
+ BigInt& operator%=(const BigInt& y);
+
+ /**
+ * Modulo operator
+ * @param y the modulus (word) to reduce this by
+ */
+ word operator%=(word y);
+
+ /**
+ * Left shift operator
+ * @param shift the number of bits to shift this left by
+ */
+ BigInt& operator<<=(size_t shift);
+
+ /**
+ * Right shift operator
+ * @param shift the number of bits to shift this right by
+ */
+ BigInt& operator>>=(size_t shift);
+
+ /**
+ * Increment operator
+ */
+ BigInt& operator++() { return (*this += 1); }
+
+ /**
+ * Decrement operator
+ */
+ BigInt& operator--() { return (*this -= 1); }
+
+ /**
+ * Postfix increment operator
+ */
+ BigInt operator++(int) { BigInt x = (*this); ++(*this); return x; }
+
+ /**
+ * Postfix decrement operator
+ */
+ BigInt operator--(int) { BigInt x = (*this); --(*this); return x; }
+
+ /**
+ * Unary negation operator
+ * @return negative this
+ */
+ BigInt operator-() const;
+
+ /**
+ * ! operator
+ * @return true iff this is zero, otherwise false
+ */
+ bool operator !() const { return (!is_nonzero()); }
+
+ /**
+ * Zeroize the BigInt. The size of the underlying register is not
+ * modified.
+ */
+ void clear() { zeroise(m_reg); }
+
+ /**
+ * Compare this to another BigInt
+ * @param n the BigInt value to compare with
+ * @param check_signs include sign in comparison?
+ * @result if (this<n) return -1, if (this>n) return 1, if both
+ * values are identical return 0 [like Perl's <=> operator]
+ */
+ s32bit cmp(const BigInt& n, bool check_signs = true) const;
+
+ /**
+ * Test if the integer has an even value
+ * @result true if the integer is even, false otherwise
+ */
+ bool is_even() const { return (get_bit(0) == 0); }
+
+ /**
+ * Test if the integer has an odd value
+ * @result true if the integer is odd, false otherwise
+ */
+ bool is_odd() const { return (get_bit(0) == 1); }
+
+ /**
+ * Test if the integer is not zero
+ * @result true if the integer is non-zero, false otherwise
+ */
+ bool is_nonzero() const { return (!is_zero()); }
+
+ /**
+ * Test if the integer is zero
+ * @result true if the integer is zero, false otherwise
+ */
+ bool is_zero() const
+ {
+ const size_t sw = sig_words();
+
+ for(size_t i = 0; i != sw; ++i)
+ if(m_reg[i])
+ return false;
+ return true;
+ }
+
+ /**
+ * Set bit at specified position
+ * @param n bit position to set
+ */
+ void set_bit(size_t n);
+
+ /**
+ * Clear bit at specified position
+ * @param n bit position to clear
+ */
+ void clear_bit(size_t n);
+
+ /**
+ * Clear all but the lowest n bits
+ * @param n amount of bits to keep
+ */
+ void mask_bits(size_t n);
+
+ /**
+ * Return bit value at specified position
+ * @param n the bit offset to test
+ * @result true, if the bit at position n is set, false otherwise
+ */
+ bool get_bit(size_t n) const;
+
+ /**
+ * Return (a maximum of) 32 bits of the complete value
+ * @param offset the offset to start extracting
+ * @param length amount of bits to extract (starting at offset)
+ * @result the integer extracted from the register starting at
+ * offset with specified length
+ */
+ u32bit get_substring(size_t offset, size_t length) const;
+
+ /**
+ * Convert this value into a u32bit, if it is in the range
+ * [0 ... 2**32-1], or otherwise throw an exception.
+ * @result the value as a u32bit if conversion is possible
+ */
+ u32bit to_u32bit() const;
+
+ /**
+ * @param n the offset to get a byte from
+ * @result byte at offset n
+ */
+ byte byte_at(size_t n) const;
+
+ /**
+ * Return the word at a specified position of the internal register
+ * @param n position in the register
+ * @return value at position n
+ */
+ word word_at(size_t n) const
+ { return ((n < size()) ? m_reg[n] : 0); }
+
+ /**
+ * Tests if the sign of the integer is negative
+ * @result true, iff the integer has a negative sign
+ */
+ bool is_negative() const { return (sign() == Negative); }
+
+ /**
+ * Tests if the sign of the integer is positive
+ * @result true, iff the integer has a positive sign
+ */
+ bool is_positive() const { return (sign() == Positive); }
+
+ /**
+ * Return the sign of the integer
+ * @result the sign of the integer
+ */
+ Sign sign() const { return (m_signedness); }
+
+ /**
+ * @result the opposite sign of the represented integer value
+ */
+ Sign reverse_sign() const;
+
+ /**
+ * Flip the sign of this BigInt
+ */
+ void flip_sign();
+
+ /**
+ * Set sign of the integer
+ * @param sign new Sign to set
+ */
+ void set_sign(Sign sign);
+
+ /**
+ * @result absolute (positive) value of this
+ */
+ BigInt abs() const;
+
+ /**
+ * Give size of internal register
+ * @result size of internal register in words
+ */
+ size_t size() const { return m_reg.size(); }
+
+ /**
+ * Return how many words we need to hold this value
+ * @result significant words of the represented integer value
+ */
+ size_t sig_words() const
+ {
+ const word* x = &m_reg[0];
+ size_t sig = m_reg.size();
+
+ while(sig && (x[sig-1] == 0))
+ sig--;
+ return sig;
+ }
+
+ /**
+ * Give byte length of the integer
+ * @result byte length of the represented integer value
+ */
+ size_t bytes() const;
+
+ /**
+ * Get the bit length of the integer
+ * @result bit length of the represented integer value
+ */
+ size_t bits() const;
+
+ /**
+ * Return a mutable pointer to the register
+ * @result a pointer to the start of the internal register
+ */
+ word* mutable_data() { return &m_reg[0]; }
+
+ /**
+ * Return a const pointer to the register
+ * @result a pointer to the start of the internal register
+ */
+ const word* data() const { return &m_reg[0]; }
+
+ /**
+ * Increase internal register buffer to at least n words
+ * @param n new size of register
+ */
+ void grow_to(size_t n);
+
+ /**
+ * Fill BigInt with a random number with size of bitsize
+ * @param rng the random number generator to use
+ * @param bitsize number of bits the created random value should have
+ */
+ void randomize(RandomNumberGenerator& rng, size_t bitsize = 0);
+
+ /**
+ * Store BigInt-value in a given byte array
+ * @param buf destination byte array for the integer value
+ */
+ void binary_encode(byte buf[]) const;
+
+ /**
+ * Read integer value from a byte array with given size
+ * @param buf byte array buffer containing the integer
+ * @param length size of buf
+ */
+ void binary_decode(const byte buf[], size_t length);
+
+ /**
+ * Read integer value from a byte array (secure_vector<byte>)
+ * @param buf the array to load from
+ */
+ void binary_decode(const secure_vector<byte>& buf)
+ {
+ binary_decode(&buf[0], buf.size());
+ }
+
+ /**
+ * @param base the base to measure the size for
+ * @return size of this integer in base base
+ */
+ size_t encoded_size(Base base = Binary) const;
+
+ /**
+ * @param rng a random number generator
+ * @param min the minimum value
+ * @param max the maximum value
+ * @return random integer between min and max
+ */
+ static BigInt random_integer(RandomNumberGenerator& rng,
+ const BigInt& min,
+ const BigInt& max);
+
+ /**
+ * Create a power of two
+ * @param n the power of two to create
+ * @return bigint representing 2^n
+ */
+ static BigInt power_of_2(size_t n)
+ {
+ BigInt b;
+ b.set_bit(n);
+ return b;
+ }
+
+ /**
+ * Encode the integer value from a BigInt to a std::vector of bytes
+ * @param n the BigInt to use as integer source
+ * @param base number-base of resulting byte array representation
+ * @result secure_vector of bytes containing the integer with given base
+ */
+ static std::vector<byte> encode(const BigInt& n, Base base = Binary);
+
+ /**
+ * Encode the integer value from a BigInt to a secure_vector of bytes
+ * @param n the BigInt to use as integer source
+ * @param base number-base of resulting byte array representation
+ * @result secure_vector of bytes containing the integer with given base
+ */
+ static secure_vector<byte> encode_locked(const BigInt& n,
+ Base base = Binary);
+
+ /**
+ * Encode the integer value from a BigInt to a byte array
+ * @param buf destination byte array for the encoded integer
+ * value with given base
+ * @param n the BigInt to use as integer source
+ * @param base number-base of resulting byte array representation
+ */
+ static void encode(byte buf[], const BigInt& n, Base base = Binary);
+
+ /**
+ * Create a BigInt from an integer in a byte array
+ * @param buf the binary value to load
+ * @param length size of buf
+ * @param base number-base of the integer in buf
+ * @result BigInt representing the integer in the byte array
+ */
+ static BigInt decode(const byte buf[], size_t length,
+ Base base = Binary);
+
+ /**
+ * Create a BigInt from an integer in a byte array
+ * @param buf the binary value to load
+ * @param base number-base of the integer in buf
+ * @result BigInt representing the integer in the byte array
+ */
+ static BigInt decode(const secure_vector<byte>& buf,
+ Base base = Binary)
+ {
+ return BigInt::decode(&buf[0], buf.size(), base);
+ }
+
+ /**
+ * Create a BigInt from an integer in a byte array
+ * @param buf the binary value to load
+ * @param base number-base of the integer in buf
+ * @result BigInt representing the integer in the byte array
+ */
+ static BigInt decode(const std::vector<byte>& buf,
+ Base base = Binary)
+ {
+ return BigInt::decode(&buf[0], buf.size(), base);
+ }
+
+ /**
+ * Encode a BigInt to a byte array according to IEEE 1363
+ * @param n the BigInt to encode
+ * @param bytes the length of the resulting secure_vector<byte>
+ * @result a secure_vector<byte> containing the encoded BigInt
+ */
+ static secure_vector<byte> encode_1363(const BigInt& n, size_t bytes);
+
+ private:
+ secure_vector<word> m_reg;
+ Sign m_signedness;
+ };
+
+/*
+* Arithmetic Operators
+*/
+BigInt BOTAN_DLL operator+(const BigInt& x, const BigInt& y);
+BigInt BOTAN_DLL operator-(const BigInt& x, const BigInt& y);
+BigInt BOTAN_DLL operator*(const BigInt& x, const BigInt& y);
+BigInt BOTAN_DLL operator/(const BigInt& x, const BigInt& d);
+BigInt BOTAN_DLL operator%(const BigInt& x, const BigInt& m);
+word BOTAN_DLL operator%(const BigInt& x, word m);
+BigInt BOTAN_DLL operator<<(const BigInt& x, size_t n);
+BigInt BOTAN_DLL operator>>(const BigInt& x, size_t n);
+
+/*
+* Comparison Operators
+*/
+inline bool operator==(const BigInt& a, const BigInt& b)
+ { return (a.cmp(b) == 0); }
+inline bool operator!=(const BigInt& a, const BigInt& b)
+ { return (a.cmp(b) != 0); }
+inline bool operator<=(const BigInt& a, const BigInt& b)
+ { return (a.cmp(b) <= 0); }
+inline bool operator>=(const BigInt& a, const BigInt& b)
+ { return (a.cmp(b) >= 0); }
+inline bool operator<(const BigInt& a, const BigInt& b)
+ { return (a.cmp(b) < 0); }
+inline bool operator>(const BigInt& a, const BigInt& b)
+ { return (a.cmp(b) > 0); }
+
+/*
+* I/O Operators
+*/
+BOTAN_DLL std::ostream& operator<<(std::ostream&, const BigInt&);
+BOTAN_DLL std::istream& operator>>(std::istream&, BigInt&);
+
+}
+
+namespace std {
+
+template<>
+inline void swap<Botan::BigInt>(Botan::BigInt& x, Botan::BigInt& y)
+ {
+ x.swap(y);
+ }
+
+}
+
+#endif
diff --git a/src/lib/math/bigint/divide.cpp b/src/lib/math/bigint/divide.cpp
new file mode 100644
index 000000000..8b21bce13
--- /dev/null
+++ b/src/lib/math/bigint/divide.cpp
@@ -0,0 +1,140 @@
+/*
+* Division Algorithm
+* (C) 1999-2007,2012 Jack Lloyd
+*
+* Distributed under the terms of the Botan license
+*/
+
+#include <botan/divide.h>
+#include <botan/internal/mp_core.h>
+#include <botan/internal/mp_madd.h>
+
+namespace Botan {
+
+namespace {
+
+/*
+* Handle signed operands, if necessary
+*/
+void sign_fixup(const BigInt& x, const BigInt& y, BigInt& q, BigInt& r)
+ {
+ if(x.sign() == BigInt::Negative)
+ {
+ q.flip_sign();
+ if(r.is_nonzero()) { --q; r = y.abs() - r; }
+ }
+ if(y.sign() == BigInt::Negative)
+ q.flip_sign();
+ }
+
+bool division_check(word q, word y2, word y1,
+ word x3, word x2, word x1)
+ {
+ // Compute (y3,y2,y1) = (y2,y1) * q
+
+ word y3 = 0;
+ y1 = word_madd2(q, y1, &y3);
+ y2 = word_madd2(q, y2, &y3);
+
+ // Return (y3,y2,y1) >? (x3,x2,x1)
+
+ if(y3 > x3) return true;
+ if(y3 < x3) return false;
+
+ if(y2 > x2) return true;
+ if(y2 < x2) return false;
+
+ if(y1 > x1) return true;
+ if(y1 < x1) return false;
+
+ return false;
+ }
+
+}
+
+/*
+* Solve x = q * y + r
+*/
+void divide(const BigInt& x, const BigInt& y_arg, BigInt& q, BigInt& r)
+ {
+ if(y_arg.is_zero())
+ throw BigInt::DivideByZero();
+
+ BigInt y = y_arg;
+ const size_t y_words = y.sig_words();
+
+ r = x;
+ q = 0;
+
+ r.set_sign(BigInt::Positive);
+ y.set_sign(BigInt::Positive);
+
+ s32bit compare = r.cmp(y);
+
+ if(compare == 0)
+ {
+ q = 1;
+ r = 0;
+ }
+ else if(compare > 0)
+ {
+ size_t shifts = 0;
+ word y_top = y.word_at(y.sig_words()-1);
+ while(y_top < MP_WORD_TOP_BIT) { y_top <<= 1; ++shifts; }
+ y <<= shifts;
+ r <<= shifts;
+
+ const size_t n = r.sig_words() - 1, t = y_words - 1;
+
+ if(n < t)
+ throw Internal_Error("BigInt division word sizes");
+
+ q.grow_to(n - t + 1);
+
+ word* q_words = q.mutable_data();
+
+ if(n <= t)
+ {
+ while(r > y) { r -= y; ++q; }
+ r >>= shifts;
+ sign_fixup(x, y_arg, q, r);
+ return;
+ }
+
+ BigInt temp = y << (MP_WORD_BITS * (n-t));
+
+ while(r >= temp) { r -= temp; q_words[n-t] += 1; }
+
+ for(size_t j = n; j != t; --j)
+ {
+ const word x_j0 = r.word_at(j);
+ const word x_j1 = r.word_at(j-1);
+ const word y_t = y.word_at(t);
+
+ if(x_j0 == y_t)
+ q_words[j-t-1] = MP_WORD_MAX;
+ else
+ q_words[j-t-1] = bigint_divop(x_j0, x_j1, y_t);
+
+ while(division_check(q_words[j-t-1],
+ y_t, y.word_at(t-1),
+ x_j0, x_j1, r.word_at(j-2)))
+ {
+ q_words[j-t-1] -= 1;
+ }
+
+ r -= (q_words[j-t-1] * y) << (MP_WORD_BITS * (j-t-1));
+
+ if(r.is_negative())
+ {
+ r += y << (MP_WORD_BITS * (j-t-1));
+ q_words[j-t-1] -= 1;
+ }
+ }
+ r >>= shifts;
+ }
+
+ sign_fixup(x, y_arg, q, r);
+ }
+
+}
diff --git a/src/lib/math/bigint/divide.h b/src/lib/math/bigint/divide.h
new file mode 100644
index 000000000..36aed7854
--- /dev/null
+++ b/src/lib/math/bigint/divide.h
@@ -0,0 +1,29 @@
+/*
+* Division
+* (C) 1999-2007 Jack Lloyd
+*
+* Distributed under the terms of the Botan license
+*/
+
+#ifndef BOTAN_DIVISON_ALGORITHM_H__
+#define BOTAN_DIVISON_ALGORITHM_H__
+
+#include <botan/bigint.h>
+
+namespace Botan {
+
+/**
+* BigInt Division
+* @param x an integer
+* @param y a non-zero integer
+* @param q will be set to x / y
+* @param r will be set to x % y
+*/
+void BOTAN_DLL divide(const BigInt& x,
+ const BigInt& y,
+ BigInt& q,
+ BigInt& r);
+
+}
+
+#endif
diff --git a/src/lib/math/bigint/info.txt b/src/lib/math/bigint/info.txt
new file mode 100644
index 000000000..b5dabb7bc
--- /dev/null
+++ b/src/lib/math/bigint/info.txt
@@ -0,0 +1,25 @@
+load_on auto
+
+define BIGINT 20131128
+
+<header:public>
+bigint.h
+divide.h
+</header:public>
+
+<source>
+big_code.cpp
+big_io.cpp
+big_ops2.cpp
+big_ops3.cpp
+big_rand.cpp
+bigint.cpp
+divide.cpp
+</source>
+
+<requires>
+alloc
+mp
+hex
+rng
+</requires>