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authorlloyd <[email protected]>2014-01-01 21:20:55 +0000
committerlloyd <[email protected]>2014-01-01 21:20:55 +0000
commit197dc467dec28a04c3b2f30da7cef122dfbb13e9 (patch)
treecdbd3ddaec051c72f0a757db461973d90c37b97a /src/math
parent62faac373c07cfe10bc8c309e89ebdd30d8e5eaa (diff)
Shuffle things around. Add NIST X.509 test to build.
Diffstat (limited to 'src/math')
-rw-r--r--src/math/bigint/big_code.cpp150
-rw-r--r--src/math/bigint/big_io.cpp55
-rw-r--r--src/math/bigint/big_ops2.cpp221
-rw-r--r--src/math/bigint/big_ops3.cpp191
-rw-r--r--src/math/bigint/big_rand.cpp48
-rw-r--r--src/math/bigint/bigint.cpp350
-rw-r--r--src/math/bigint/bigint.h570
-rw-r--r--src/math/bigint/divide.cpp140
-rw-r--r--src/math/bigint/divide.h29
-rw-r--r--src/math/bigint/info.txt25
-rw-r--r--src/math/ec_gfp/curve_gfp.h161
-rw-r--r--src/math/ec_gfp/info.txt16
-rw-r--r--src/math/ec_gfp/point_gfp.cpp606
-rw-r--r--src/math/ec_gfp/point_gfp.h300
-rw-r--r--src/math/mp/info.txt23
-rw-r--r--src/math/mp/mp_asm.cpp184
-rw-r--r--src/math/mp/mp_comba.cpp920
-rw-r--r--src/math/mp/mp_core.h175
-rw-r--r--src/math/mp/mp_generic/info.txt6
-rw-r--r--src/math/mp/mp_generic/mp_asmi.h207
-rw-r--r--src/math/mp/mp_generic/mp_madd.h73
-rw-r--r--src/math/mp/mp_karat.cpp303
-rw-r--r--src/math/mp/mp_misc.cpp79
-rw-r--r--src/math/mp/mp_monty.cpp101
-rw-r--r--src/math/mp/mp_mulop.cpp77
-rw-r--r--src/math/mp/mp_shift.cpp138
-rw-r--r--src/math/mp/mp_types.h46
-rw-r--r--src/math/mp/mp_x86_32/info.txt18
-rw-r--r--src/math/mp/mp_x86_32/mp_asmi.h240
-rw-r--r--src/math/mp/mp_x86_32/mp_madd.h67
-rw-r--r--src/math/mp/mp_x86_32_msvc/info.txt16
-rw-r--r--src/math/mp/mp_x86_32_msvc/mp_asmi.h542
-rw-r--r--src/math/mp/mp_x86_64/info.txt18
-rw-r--r--src/math/mp/mp_x86_64/mp_asmi.h248
-rw-r--r--src/math/mp/mp_x86_64/mp_madd.h69
-rw-r--r--src/math/numbertheory/def_powm.h63
-rw-r--r--src/math/numbertheory/dsa_gen.cpp134
-rw-r--r--src/math/numbertheory/info.txt35
-rw-r--r--src/math/numbertheory/jacobi.cpp53
-rw-r--r--src/math/numbertheory/make_prm.cpp100
-rw-r--r--src/math/numbertheory/mp_numth.cpp74
-rw-r--r--src/math/numbertheory/numthry.cpp409
-rw-r--r--src/math/numbertheory/numthry.h237
-rw-r--r--src/math/numbertheory/pow_mod.cpp211
-rw-r--r--src/math/numbertheory/pow_mod.h104
-rw-r--r--src/math/numbertheory/powm_fw.cpp69
-rw-r--r--src/math/numbertheory/powm_mnt.cpp142
-rw-r--r--src/math/numbertheory/primes.cpp609
-rw-r--r--src/math/numbertheory/reducer.cpp81
-rw-r--r--src/math/numbertheory/reducer.h61
-rw-r--r--src/math/numbertheory/ressol.cpp81
51 files changed, 0 insertions, 8875 deletions
diff --git a/src/math/bigint/big_code.cpp b/src/math/bigint/big_code.cpp
deleted file mode 100644
index 972312cdb..000000000
--- a/src/math/bigint/big_code.cpp
+++ /dev/null
@@ -1,150 +0,0 @@
-/*
-* 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/math/bigint/big_io.cpp b/src/math/bigint/big_io.cpp
deleted file mode 100644
index b561c218f..000000000
--- a/src/math/bigint/big_io.cpp
+++ /dev/null
@@ -1,55 +0,0 @@
-/*
-* 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/math/bigint/big_ops2.cpp b/src/math/bigint/big_ops2.cpp
deleted file mode 100644
index 37b6a5df1..000000000
--- a/src/math/bigint/big_ops2.cpp
+++ /dev/null
@@ -1,221 +0,0 @@
-/*
-* 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/math/bigint/big_ops3.cpp b/src/math/bigint/big_ops3.cpp
deleted file mode 100644
index cad730197..000000000
--- a/src/math/bigint/big_ops3.cpp
+++ /dev/null
@@ -1,191 +0,0 @@
-/*
-* 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/math/bigint/big_rand.cpp b/src/math/bigint/big_rand.cpp
deleted file mode 100644
index 78b9ee244..000000000
--- a/src/math/bigint/big_rand.cpp
+++ /dev/null
@@ -1,48 +0,0 @@
-/*
-* 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/math/bigint/bigint.cpp b/src/math/bigint/bigint.cpp
deleted file mode 100644
index 45c351256..000000000
--- a/src/math/bigint/bigint.cpp
+++ /dev/null
@@ -1,350 +0,0 @@
-/*
-* 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/math/bigint/bigint.h b/src/math/bigint/bigint.h
deleted file mode 100644
index 08b7d53fc..000000000
--- a/src/math/bigint/bigint.h
+++ /dev/null
@@ -1,570 +0,0 @@
-/*
-* 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/math/bigint/divide.cpp b/src/math/bigint/divide.cpp
deleted file mode 100644
index 8b21bce13..000000000
--- a/src/math/bigint/divide.cpp
+++ /dev/null
@@ -1,140 +0,0 @@
-/*
-* 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/math/bigint/divide.h b/src/math/bigint/divide.h
deleted file mode 100644
index 36aed7854..000000000
--- a/src/math/bigint/divide.h
+++ /dev/null
@@ -1,29 +0,0 @@
-/*
-* 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/math/bigint/info.txt b/src/math/bigint/info.txt
deleted file mode 100644
index b5dabb7bc..000000000
--- a/src/math/bigint/info.txt
+++ /dev/null
@@ -1,25 +0,0 @@
-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>
diff --git a/src/math/ec_gfp/curve_gfp.h b/src/math/ec_gfp/curve_gfp.h
deleted file mode 100644
index 267d5f152..000000000
--- a/src/math/ec_gfp/curve_gfp.h
+++ /dev/null
@@ -1,161 +0,0 @@
-/*
-* Elliptic curves over GF(p)
-*
-* (C) 2007 Martin Doering, Christoph Ludwig, Falko Strenzke
-* 2010-2011,2012 Jack Lloyd
-*
-* Distributed under the terms of the Botan license
-*/
-
-#ifndef BOTAN_GFP_CURVE_H__
-#define BOTAN_GFP_CURVE_H__
-
-#include <botan/numthry.h>
-
-namespace Botan {
-
-/**
-* This class represents an elliptic curve over GF(p)
-*/
-class BOTAN_DLL CurveGFp
- {
- public:
-
- /**
- * Create an uninitialized CurveGFp
- */
- CurveGFp() {}
-
- /**
- * Construct the elliptic curve E: y^2 = x^3 + ax + b over GF(p)
- * @param p prime number of the field
- * @param a first coefficient
- * @param b second coefficient
- */
- CurveGFp(const BigInt& p, const BigInt& a, const BigInt& b) :
- m_p(p),
- m_a(a),
- m_b(b),
- m_p_words(m_p.sig_words()),
- m_p_dash(monty_inverse(m_p.word_at(0)))
- {
- const BigInt r = BigInt::power_of_2(m_p_words * BOTAN_MP_WORD_BITS);
-
- m_r2 = (r * r) % p;
- m_a_r = (a * r) % p;
- m_b_r = (b * r) % p;
- }
-
- CurveGFp(const CurveGFp&) = default;
-
- CurveGFp& operator=(const CurveGFp&) = default;
-
- /**
- * @return curve coefficient a
- */
- const BigInt& get_a() const { return m_a; }
-
- /**
- * @return curve coefficient b
- */
- const BigInt& get_b() const { return m_b; }
-
- /**
- * Get prime modulus of the field of the curve
- * @return prime modulus of the field of the curve
- */
- const BigInt& get_p() const { return m_p; }
-
- /**
- * @return Montgomery parameter r^2 % p
- */
- const BigInt& get_r2() const { return m_r2; }
-
- /**
- * @return a * r mod p
- */
- const BigInt& get_a_r() const { return m_a_r; }
-
- /**
- * @return b * r mod p
- */
- const BigInt& get_b_r() const { return m_b_r; }
-
- /**
- * @return Montgomery parameter p-dash
- */
- word get_p_dash() const { return m_p_dash; }
-
- /**
- * @return p.sig_words()
- */
- size_t get_p_words() const { return m_p_words; }
-
- /**
- * swaps the states of *this and other, does not throw
- * @param other curve to swap values with
- */
- void swap(CurveGFp& other)
- {
- std::swap(m_p, other.m_p);
-
- std::swap(m_a, other.m_a);
- std::swap(m_b, other.m_b);
-
- std::swap(m_a_r, other.m_a_r);
- std::swap(m_b_r, other.m_b_r);
-
- std::swap(m_p_words, other.m_p_words);
-
- std::swap(m_r2, other.m_r2);
- std::swap(m_p_dash, other.m_p_dash);
- }
-
- /**
- * Equality operator
- * @param other curve to compare with
- * @return true iff this is the same curve as other
- */
- bool operator==(const CurveGFp& other) const
- {
- return (m_p == other.m_p &&
- m_a == other.m_a &&
- m_b == other.m_b);
- }
-
- private:
- // Curve parameters
- BigInt m_p, m_a, m_b;
-
- size_t m_p_words; // cache of m_p.sig_words()
-
- // Montgomery parameters
- BigInt m_r2, m_a_r, m_b_r;
- word m_p_dash;
- };
-
-/**
-* Equality operator
-* @param lhs a curve
-* @param rhs a curve
-* @return true iff lhs is not the same as rhs
-*/
-inline bool operator!=(const CurveGFp& lhs, const CurveGFp& rhs)
- {
- return !(lhs == rhs);
- }
-
-}
-
-namespace std {
-
-template<> inline
-void swap<Botan::CurveGFp>(Botan::CurveGFp& curve1,
- Botan::CurveGFp& curve2)
- {
- curve1.swap(curve2);
- }
-
-} // namespace std
-
-#endif
diff --git a/src/math/ec_gfp/info.txt b/src/math/ec_gfp/info.txt
deleted file mode 100644
index 1772302a8..000000000
--- a/src/math/ec_gfp/info.txt
+++ /dev/null
@@ -1,16 +0,0 @@
-define EC_CURVE_GFP 20131128
-
-load_on auto
-
-<header:public>
-curve_gfp.h
-point_gfp.h
-</header:public>
-
-<source>
-point_gfp.cpp
-</source>
-
-<requires>
-numbertheory
-</requires>
diff --git a/src/math/ec_gfp/point_gfp.cpp b/src/math/ec_gfp/point_gfp.cpp
deleted file mode 100644
index 9cd5a2aaf..000000000
--- a/src/math/ec_gfp/point_gfp.cpp
+++ /dev/null
@@ -1,606 +0,0 @@
-/*
-* Point arithmetic on elliptic curves over GF(p)
-*
-* (C) 2007 Martin Doering, Christoph Ludwig, Falko Strenzke
-* 2008-2011,2012 Jack Lloyd
-*
-* Distributed under the terms of the Botan license
-*/
-
-#include <botan/point_gfp.h>
-#include <botan/numthry.h>
-#include <botan/reducer.h>
-#include <botan/internal/mp_core.h>
-
-namespace Botan {
-
-PointGFp::PointGFp(const CurveGFp& curve) :
- curve(curve), ws(2 * (curve.get_p_words() + 2))
- {
- coord_x = 0;
- coord_y = monty_mult(1, curve.get_r2());
- coord_z = 0;
- }
-
-PointGFp::PointGFp(const CurveGFp& curve, const BigInt& x, const BigInt& y) :
- curve(curve), ws(2 * (curve.get_p_words() + 2))
- {
- coord_x = monty_mult(x, curve.get_r2());
- coord_y = monty_mult(y, curve.get_r2());
- coord_z = monty_mult(1, curve.get_r2());
- }
-
-// Montgomery multiplication
-void PointGFp::monty_mult(BigInt& z, const BigInt& x, const BigInt& y) const
- {
- //assert(&z != &x && &z != &y);
-
- if(x.is_zero() || y.is_zero())
- {
- z = 0;
- return;
- }
-
- const BigInt& p = curve.get_p();
- const size_t p_size = curve.get_p_words();
- const word p_dash = curve.get_p_dash();
-
- const size_t output_size = 2*p_size + 1;
-
- z.grow_to(output_size);
- z.clear();
-
- bigint_monty_mul(z.mutable_data(), output_size,
- x.data(), x.size(), x.sig_words(),
- y.data(), y.size(), y.sig_words(),
- p.data(), p_size, p_dash,
- &ws[0]);
- }
-
-// Montgomery squaring
-void PointGFp::monty_sqr(BigInt& z, const BigInt& x) const
- {
- //assert(&z != &x);
-
- if(x.is_zero())
- {
- z = 0;
- return;
- }
-
- const BigInt& p = curve.get_p();
- const size_t p_size = curve.get_p_words();
- const word p_dash = curve.get_p_dash();
-
- const size_t output_size = 2*p_size + 1;
-
- z.grow_to(output_size);
- z.clear();
-
- bigint_monty_sqr(z.mutable_data(), output_size,
- x.data(), x.size(), x.sig_words(),
- p.data(), p_size, p_dash,
- &ws[0]);
- }
-
-// Point addition
-void PointGFp::add(const PointGFp& rhs, std::vector<BigInt>& ws_bn)
- {
- if(is_zero())
- {
- coord_x = rhs.coord_x;
- coord_y = rhs.coord_y;
- coord_z = rhs.coord_z;
- return;
- }
- else if(rhs.is_zero())
- return;
-
- const BigInt& p = curve.get_p();
-
- BigInt& rhs_z2 = ws_bn[0];
- BigInt& U1 = ws_bn[1];
- BigInt& S1 = ws_bn[2];
-
- BigInt& lhs_z2 = ws_bn[3];
- BigInt& U2 = ws_bn[4];
- BigInt& S2 = ws_bn[5];
-
- BigInt& H = ws_bn[6];
- BigInt& r = ws_bn[7];
-
- monty_sqr(rhs_z2, rhs.coord_z);
- monty_mult(U1, coord_x, rhs_z2);
- monty_mult(S1, coord_y, monty_mult(rhs.coord_z, rhs_z2));
-
- monty_sqr(lhs_z2, coord_z);
- monty_mult(U2, rhs.coord_x, lhs_z2);
- monty_mult(S2, rhs.coord_y, monty_mult(coord_z, lhs_z2));
-
- H = U2;
- H -= U1;
- if(H.is_negative())
- H += p;
-
- r = S2;
- r -= S1;
- if(r.is_negative())
- r += p;
-
- if(H.is_zero())
- {
- if(r.is_zero())
- {
- mult2(ws_bn);
- return;
- }
-
- *this = PointGFp(curve); // setting myself to zero
- return;
- }
-
- monty_sqr(U2, H);
-
- monty_mult(S2, U2, H);
-
- U2 = monty_mult(U1, U2);
-
- monty_sqr(coord_x, r);
- coord_x -= S2;
- coord_x -= (U2 << 1);
- while(coord_x.is_negative())
- coord_x += p;
-
- U2 -= coord_x;
- if(U2.is_negative())
- U2 += p;
-
- monty_mult(coord_y, r, U2);
- coord_y -= monty_mult(S1, S2);
- if(coord_y.is_negative())
- coord_y += p;
-
- monty_mult(coord_z, monty_mult(coord_z, rhs.coord_z), H);
- }
-
-// *this *= 2
-void PointGFp::mult2(std::vector<BigInt>& ws_bn)
- {
- if(is_zero())
- return;
- else if(coord_y.is_zero())
- {
- *this = PointGFp(curve); // setting myself to zero
- return;
- }
-
- const BigInt& p = curve.get_p();
-
- BigInt& y_2 = ws_bn[0];
- BigInt& S = ws_bn[1];
- BigInt& z4 = ws_bn[2];
- BigInt& a_z4 = ws_bn[3];
- BigInt& M = ws_bn[4];
- BigInt& U = ws_bn[5];
- BigInt& x = ws_bn[6];
- BigInt& y = ws_bn[7];
- BigInt& z = ws_bn[8];
-
- monty_sqr(y_2, coord_y);
-
- monty_mult(S, coord_x, y_2);
- S <<= 2; // * 4
- while(S >= p)
- S -= p;
-
- monty_sqr(z4, monty_sqr(coord_z));
- monty_mult(a_z4, curve.get_a_r(), z4);
-
- M = 3 * monty_sqr(coord_x);
- M += a_z4;
- while(M >= p)
- M -= p;
-
- monty_sqr(x, M);
- x -= (S << 1);
- while(x.is_negative())
- x += p;
-
- monty_sqr(U, y_2);
- U <<= 3;
- while(U >= p)
- U -= p;
-
- S -= x;
- while(S.is_negative())
- S += p;
-
- monty_mult(y, M, S);
- y -= U;
- if(y.is_negative())
- y += p;
-
- monty_mult(z, coord_y, coord_z);
- z <<= 1;
- if(z >= p)
- z -= p;
-
- coord_x = x;
- coord_y = y;
- coord_z = z;
- }
-
-// arithmetic operators
-PointGFp& PointGFp::operator+=(const PointGFp& rhs)
- {
- std::vector<BigInt> ws(9);
- add(rhs, ws);
- return *this;
- }
-
-PointGFp& PointGFp::operator-=(const PointGFp& rhs)
- {
- PointGFp minus_rhs = PointGFp(rhs).negate();
-
- if(is_zero())
- *this = minus_rhs;
- else
- *this += minus_rhs;
-
- return *this;
- }
-
-PointGFp& PointGFp::operator*=(const BigInt& scalar)
- {
- *this = scalar * *this;
- return *this;
- }
-
-PointGFp multi_exponentiate(const PointGFp& p1, const BigInt& z1,
- const PointGFp& p2, const BigInt& z2)
- {
- const PointGFp p3 = p1 + p2;
-
- PointGFp H(p1.curve); // create as zero
- size_t bits_left = std::max(z1.bits(), z2.bits());
-
- std::vector<BigInt> ws(9);
-
- while(bits_left)
- {
- H.mult2(ws);
-
- const bool z1_b = z1.get_bit(bits_left - 1);
- const bool z2_b = z2.get_bit(bits_left - 1);
-
- if(z1_b == true && z2_b == true)
- H.add(p3, ws);
- else if(z1_b)
- H.add(p1, ws);
- else if(z2_b)
- H.add(p2, ws);
-
- --bits_left;
- }
-
- if(z1.is_negative() != z2.is_negative())
- H.negate();
-
- return H;
- }
-
-PointGFp operator*(const BigInt& scalar, const PointGFp& point)
- {
- const CurveGFp& curve = point.get_curve();
-
- if(scalar.is_zero())
- return PointGFp(curve); // zero point
-
- std::vector<BigInt> ws(9);
-
- if(scalar.abs() <= 2) // special cases for small values
- {
- byte value = scalar.abs().byte_at(0);
-
- PointGFp result = point;
-
- if(value == 2)
- result.mult2(ws);
-
- if(scalar.is_negative())
- result.negate();
-
- return result;
- }
-
- const size_t scalar_bits = scalar.bits();
-
-#if 0
-
- PointGFp x1 = PointGFp(curve);
- PointGFp x2 = point;
-
- size_t bits_left = scalar_bits;
-
- // Montgomery Ladder
- while(bits_left)
- {
- const bool bit_set = scalar.get_bit(bits_left - 1);
-
- if(bit_set)
- {
- x1.add(x2, ws);
- x2.mult2(ws);
- }
- else
- {
- x2.add(x1, ws);
- x1.mult2(ws);
- }
-
- --bits_left;
- }
-
- if(scalar.is_negative())
- x1.negate();
-
- return x1;
-
-#else
- const size_t window_size = 4;
-
- std::vector<PointGFp> Ps(1 << window_size);
- Ps[0] = PointGFp(curve);
- Ps[1] = point;
-
- for(size_t i = 2; i != Ps.size(); ++i)
- {
- Ps[i] = Ps[i-1];
- Ps[i].add(point, ws);
- }
-
- PointGFp H(curve); // create as zero
- size_t bits_left = scalar_bits;
-
- while(bits_left >= window_size)
- {
- for(size_t i = 0; i != window_size; ++i)
- H.mult2(ws);
-
- const u32bit nibble = scalar.get_substring(bits_left - window_size,
- window_size);
-
- H.add(Ps[nibble], ws);
-
- bits_left -= window_size;
- }
-
- while(bits_left)
- {
- H.mult2(ws);
- if(scalar.get_bit(bits_left-1))
- H.add(point, ws);
-
- --bits_left;
- }
-
- if(scalar.is_negative())
- H.negate();
-
- return H;
-#endif
- }
-
-BigInt PointGFp::get_affine_x() const
- {
- if(is_zero())
- throw Illegal_Transformation("Cannot convert zero point to affine");
-
- const BigInt& r2 = curve.get_r2();
-
- BigInt z2 = monty_sqr(coord_z);
- z2 = inverse_mod(z2, curve.get_p());
-
- z2 = monty_mult(z2, r2);
- return monty_mult(coord_x, z2);
- }
-
-BigInt PointGFp::get_affine_y() const
- {
- if(is_zero())
- throw Illegal_Transformation("Cannot convert zero point to affine");
-
- const BigInt& r2 = curve.get_r2();
-
- BigInt z3 = monty_mult(coord_z, monty_sqr(coord_z));
- z3 = inverse_mod(z3, curve.get_p());
- z3 = monty_mult(z3, r2);
- return monty_mult(coord_y, z3);
- }
-
-bool PointGFp::on_the_curve() const
- {
- /*
- Is the point still on the curve?? (If everything is correct, the
- point is always on its curve; then the function will return true.
- If somehow the state is corrupted, which suggests a fault attack
- (or internal computational error), then return false.
- */
-
- if(is_zero())
- return true;
-
- BigInt y2 = monty_mult(monty_sqr(coord_y), 1);
- BigInt x3 = monty_mult(coord_x, monty_sqr(coord_x));
-
- BigInt ax = monty_mult(coord_x, curve.get_a_r());
-
- const BigInt& b_r = curve.get_b_r();
-
- BigInt z2 = monty_sqr(coord_z);
-
- if(coord_z == z2) // Is z equal to 1 (in Montgomery form)?
- {
- if(y2 != monty_mult(x3 + ax + b_r, 1))
- return false;
- }
-
- BigInt z3 = monty_mult(coord_z, z2);
-
- BigInt ax_z4 = monty_mult(ax, monty_sqr(z2));
-
- BigInt b_z6 = monty_mult(b_r, monty_sqr(z3));
-
- if(y2 != monty_mult(x3 + ax_z4 + b_z6, 1))
- return false;
-
- return true;
- }
-
-// swaps the states of *this and other, does not throw!
-void PointGFp::swap(PointGFp& other)
- {
- curve.swap(other.curve);
- coord_x.swap(other.coord_x);
- coord_y.swap(other.coord_y);
- coord_z.swap(other.coord_z);
- ws.swap(other.ws);
- }
-
-bool PointGFp::operator==(const PointGFp& other) const
- {
- if(get_curve() != other.get_curve())
- return false;
-
- // If this is zero, only equal if other is also zero
- if(is_zero())
- return other.is_zero();
-
- return (get_affine_x() == other.get_affine_x() &&
- get_affine_y() == other.get_affine_y());
- }
-
-// encoding and decoding
-secure_vector<byte> EC2OSP(const PointGFp& point, byte format)
- {
- if(point.is_zero())
- return secure_vector<byte>(1); // single 0 byte
-
- const size_t p_bytes = point.get_curve().get_p().bytes();
-
- BigInt x = point.get_affine_x();
- BigInt y = point.get_affine_y();
-
- secure_vector<byte> bX = BigInt::encode_1363(x, p_bytes);
- secure_vector<byte> bY = BigInt::encode_1363(y, p_bytes);
-
- if(format == PointGFp::UNCOMPRESSED)
- {
- secure_vector<byte> result;
- result.push_back(0x04);
-
- result += bX;
- result += bY;
-
- return result;
- }
- else if(format == PointGFp::COMPRESSED)
- {
- secure_vector<byte> result;
- result.push_back(0x02 | static_cast<byte>(y.get_bit(0)));
-
- result += bX;
-
- return result;
- }
- else if(format == PointGFp::HYBRID)
- {
- secure_vector<byte> result;
- result.push_back(0x06 | static_cast<byte>(y.get_bit(0)));
-
- result += bX;
- result += bY;
-
- return result;
- }
- else
- throw Invalid_Argument("illegal point encoding format specification");
- }
-
-namespace {
-
-BigInt decompress_point(bool yMod2,
- const BigInt& x,
- const CurveGFp& curve)
- {
- BigInt xpow3 = x * x * x;
-
- BigInt g = curve.get_a() * x;
- g += xpow3;
- g += curve.get_b();
- g = g % curve.get_p();
-
- BigInt z = ressol(g, curve.get_p());
-
- if(z < 0)
- throw Illegal_Point("error during decompression");
-
- if(z.get_bit(0) != yMod2)
- z = curve.get_p() - z;
-
- return z;
- }
-
-}
-
-PointGFp OS2ECP(const byte data[], size_t data_len,
- const CurveGFp& curve)
- {
- if(data_len <= 1)
- return PointGFp(curve); // return zero
-
- const byte pc = data[0];
-
- BigInt x, y;
-
- if(pc == 2 || pc == 3)
- {
- //compressed form
- x = BigInt::decode(&data[1], data_len - 1);
-
- const bool y_mod_2 = ((pc & 0x01) == 1);
- y = decompress_point(y_mod_2, x, curve);
- }
- else if(pc == 4)
- {
- const size_t l = (data_len - 1) / 2;
-
- // uncompressed form
- x = BigInt::decode(&data[1], l);
- y = BigInt::decode(&data[l+1], l);
- }
- else if(pc == 6 || pc == 7)
- {
- const size_t l = (data_len - 1) / 2;
-
- // hybrid form
- x = BigInt::decode(&data[1], l);
- y = BigInt::decode(&data[l+1], l);
-
- const bool y_mod_2 = ((pc & 0x01) == 1);
-
- if(decompress_point(y_mod_2, x, curve) != y)
- throw Illegal_Point("OS2ECP: Decoding error in hybrid format");
- }
- else
- throw Invalid_Argument("OS2ECP: Unknown format type " + std::to_string(pc));
-
- PointGFp result(curve, x, y);
-
- if(!result.on_the_curve())
- throw Illegal_Point("OS2ECP: Decoded point was not on the curve");
-
- return result;
- }
-
-}
diff --git a/src/math/ec_gfp/point_gfp.h b/src/math/ec_gfp/point_gfp.h
deleted file mode 100644
index 017f66e1c..000000000
--- a/src/math/ec_gfp/point_gfp.h
+++ /dev/null
@@ -1,300 +0,0 @@
-/*
-* Point arithmetic on elliptic curves over GF(p)
-*
-* (C) 2007 Martin Doering, Christoph Ludwig, Falko Strenzke
-* 2008-2011 Jack Lloyd
-*
-* Distributed under the terms of the Botan license
-*/
-
-#ifndef BOTAN_POINT_GFP_H__
-#define BOTAN_POINT_GFP_H__
-
-#include <botan/curve_gfp.h>
-#include <vector>
-
-namespace Botan {
-
-/**
-* Exception thrown if you try to convert a zero point to an affine
-* coordinate
-*/
-struct BOTAN_DLL Illegal_Transformation : public Exception
- {
- Illegal_Transformation(const std::string& err =
- "Requested transformation is not possible") :
- Exception(err) {}
- };
-
-/**
-* Exception thrown if some form of illegal point is decoded
-*/
-struct BOTAN_DLL Illegal_Point : public Exception
- {
- Illegal_Point(const std::string& err = "Malformed ECP point detected") :
- Exception(err) {}
- };
-
-/**
-* This class represents one point on a curve of GF(p)
-*/
-class BOTAN_DLL PointGFp
- {
- public:
- enum Compression_Type {
- UNCOMPRESSED = 0,
- COMPRESSED = 1,
- HYBRID = 2
- };
-
- /**
- * Construct an uninitialized PointGFp
- */
- PointGFp() {}
-
- /**
- * Construct the zero point
- * @param curve The base curve
- */
- PointGFp(const CurveGFp& curve);
-
- /**
- * Copy constructor
- */
- PointGFp(const PointGFp&) = default;
-
- /**
- * Move Constructor
- */
- PointGFp(PointGFp&& other)
- {
- this->swap(other);
- }
-
- /**
- * Standard Assignment
- */
- PointGFp& operator=(const PointGFp&) = default;
-
- /**
- * Move Assignment
- */
- PointGFp& operator=(PointGFp&& other)
- {
- if(this != &other)
- this->swap(other);
- return (*this);
- }
-
- /**
- * Construct a point from its affine coordinates
- * @param curve the base curve
- * @param x affine x coordinate
- * @param y affine y coordinate
- */
- PointGFp(const CurveGFp& curve, const BigInt& x, const BigInt& y);
-
- /**
- * += Operator
- * @param rhs the PointGFp to add to the local value
- * @result resulting PointGFp
- */
- PointGFp& operator+=(const PointGFp& rhs);
-
- /**
- * -= Operator
- * @param rhs the PointGFp to subtract from the local value
- * @result resulting PointGFp
- */
- PointGFp& operator-=(const PointGFp& rhs);
-
- /**
- * *= Operator
- * @param scalar the PointGFp to multiply with *this
- * @result resulting PointGFp
- */
- PointGFp& operator*=(const BigInt& scalar);
-
- /**
- * Multiplication Operator
- * @param scalar the scalar value
- * @param point the point value
- * @return scalar*point on the curve
- */
- friend BOTAN_DLL PointGFp operator*(const BigInt& scalar, const PointGFp& point);
-
- /**
- * Multiexponentiation
- * @param p1 a point
- * @param z1 a scalar
- * @param p2 a point
- * @param z2 a scalar
- * @result (p1 * z1 + p2 * z2)
- */
- friend BOTAN_DLL PointGFp multi_exponentiate(
- const PointGFp& p1, const BigInt& z1,
- const PointGFp& p2, const BigInt& z2);
-
- /**
- * Negate this point
- * @return *this
- */
- PointGFp& negate()
- {
- if(!is_zero())
- coord_y = curve.get_p() - coord_y;
- return *this;
- }
-
- /**
- * Return base curve of this point
- * @result the curve over GF(p) of this point
- */
- const CurveGFp& get_curve() const { return curve; }
-
- /**
- * get affine x coordinate
- * @result affine x coordinate
- */
- BigInt get_affine_x() const;
-
- /**
- * get affine y coordinate
- * @result affine y coordinate
- */
- BigInt get_affine_y() const;
-
- /**
- * Is this the point at infinity?
- * @result true, if this point is at infinity, false otherwise.
- */
- bool is_zero() const
- { return (coord_x.is_zero() && coord_z.is_zero()); }
-
- /**
- * Checks whether the point is to be found on the underlying
- * curve; used to prevent fault attacks.
- * @return if the point is on the curve
- */
- bool on_the_curve() const;
-
- /**
- * swaps the states of *this and other, does not throw!
- * @param other the object to swap values with
- */
- void swap(PointGFp& other);
-
- /**
- * Equality operator
- */
- bool operator==(const PointGFp& other) const;
- private:
-
- /**
- * Montgomery multiplication/reduction
- * @param x first multiplicand
- * @param y second multiplicand
- * @param workspace temp space
- */
- BigInt monty_mult(const BigInt& x, const BigInt& y) const
- {
- BigInt result;
- monty_mult(result, x, y);
- return result;
- }
-
- /**
- * Montgomery multiplication/reduction
- * @warning z cannot alias x or y
- * @param z output
- * @param x first multiplicand
- * @param y second multiplicand
- */
- void monty_mult(BigInt& z, const BigInt& x, const BigInt& y) const;
-
- /**
- * Montgomery squaring/reduction
- * @param x multiplicand
- */
- BigInt monty_sqr(const BigInt& x) const
- {
- BigInt result;
- monty_sqr(result, x);
- return result;
- }
-
- /**
- * Montgomery squaring/reduction
- * @warning z cannot alias x
- * @param z output
- * @param x multiplicand
- */
- void monty_sqr(BigInt& z, const BigInt& x) const;
-
- /**
- * Point addition
- * @param workspace temp space, at least 11 elements
- */
- void add(const PointGFp& other, std::vector<BigInt>& workspace);
-
- /**
- * Point doubling
- * @param workspace temp space, at least 9 elements
- */
- void mult2(std::vector<BigInt>& workspace);
-
- CurveGFp curve;
- BigInt coord_x, coord_y, coord_z;
- mutable secure_vector<word> ws; // workspace for Montgomery
- };
-
-// relational operators
-inline bool operator!=(const PointGFp& lhs, const PointGFp& rhs)
- {
- return !(rhs == lhs);
- }
-
-// arithmetic operators
-inline PointGFp operator-(const PointGFp& lhs)
- {
- return PointGFp(lhs).negate();
- }
-
-inline PointGFp operator+(const PointGFp& lhs, const PointGFp& rhs)
- {
- PointGFp tmp(lhs);
- return tmp += rhs;
- }
-
-inline PointGFp operator-(const PointGFp& lhs, const PointGFp& rhs)
- {
- PointGFp tmp(lhs);
- return tmp -= rhs;
- }
-
-inline PointGFp operator*(const PointGFp& point, const BigInt& scalar)
- {
- return scalar * point;
- }
-
-// encoding and decoding
-secure_vector<byte> BOTAN_DLL EC2OSP(const PointGFp& point, byte format);
-
-PointGFp BOTAN_DLL OS2ECP(const byte data[], size_t data_len,
- const CurveGFp& curve);
-
-template<typename Alloc>
-PointGFp OS2ECP(const std::vector<byte, Alloc>& data, const CurveGFp& curve)
- { return OS2ECP(&data[0], data.size(), curve); }
-
-}
-
-namespace std {
-
-template<>
-inline void swap<Botan::PointGFp>(Botan::PointGFp& x, Botan::PointGFp& y)
- { x.swap(y); }
-
-}
-
-#endif
diff --git a/src/math/mp/info.txt b/src/math/mp/info.txt
deleted file mode 100644
index a47475f7b..000000000
--- a/src/math/mp/info.txt
+++ /dev/null
@@ -1,23 +0,0 @@
-define BIGINT_MP 20131128
-
-<source>
-mp_asm.cpp
-mp_comba.cpp
-mp_karat.cpp
-mp_monty.cpp
-mp_mulop.cpp
-mp_misc.cpp
-mp_shift.cpp
-</source>
-
-<header:public>
-mp_types.h
-</header:public>
-
-<header:internal>
-mp_core.h
-</header:internal>
-
-<requires>
-mp_x86_64|mp_x86_32|mp_x86_32_msvc|mp_generic
-</requires>
diff --git a/src/math/mp/mp_asm.cpp b/src/math/mp/mp_asm.cpp
deleted file mode 100644
index a3caba620..000000000
--- a/src/math/mp/mp_asm.cpp
+++ /dev/null
@@ -1,184 +0,0 @@
-/*
-* Lowest Level MPI Algorithms
-* (C) 1999-2010 Jack Lloyd
-* 2006 Luca Piccarreta
-*
-* Distributed under the terms of the Botan license
-*/
-
-#include <botan/internal/mp_core.h>
-#include <botan/internal/mp_asmi.h>
-#include <botan/internal/mp_core.h>
-#include <botan/exceptn.h>
-#include <botan/mem_ops.h>
-
-namespace Botan {
-
-extern "C" {
-
-/*
-* Two Operand Addition, No Carry
-*/
-word bigint_add2_nc(word x[], size_t x_size, const word y[], size_t y_size)
- {
- word carry = 0;
-
- const size_t blocks = y_size - (y_size % 8);
-
- for(size_t i = 0; i != blocks; i += 8)
- carry = word8_add2(x + i, y + i, carry);
-
- for(size_t i = blocks; i != y_size; ++i)
- x[i] = word_add(x[i], y[i], &carry);
-
- for(size_t i = y_size; i != x_size; ++i)
- x[i] = word_add(x[i], 0, &carry);
-
- return carry;
- }
-
-/*
-* Three Operand Addition, No Carry
-*/
-word bigint_add3_nc(word z[], const word x[], size_t x_size,
- const word y[], size_t y_size)
- {
- if(x_size < y_size)
- { return bigint_add3_nc(z, y, y_size, x, x_size); }
-
- word carry = 0;
-
- const size_t blocks = y_size - (y_size % 8);
-
- for(size_t i = 0; i != blocks; i += 8)
- carry = word8_add3(z + i, x + i, y + i, carry);
-
- for(size_t i = blocks; i != y_size; ++i)
- z[i] = word_add(x[i], y[i], &carry);
-
- for(size_t i = y_size; i != x_size; ++i)
- z[i] = word_add(x[i], 0, &carry);
-
- return carry;
- }
-
-/*
-* Two Operand Addition
-*/
-void bigint_add2(word x[], size_t x_size, const word y[], size_t y_size)
- {
- if(bigint_add2_nc(x, x_size, y, y_size))
- x[x_size] += 1;
- }
-
-/*
-* Three Operand Addition
-*/
-void bigint_add3(word z[], const word x[], size_t x_size,
- const word y[], size_t y_size)
- {
- z[(x_size > y_size ? x_size : y_size)] +=
- bigint_add3_nc(z, x, x_size, y, y_size);
- }
-
-/*
-* Two Operand Subtraction
-*/
-word bigint_sub2(word x[], size_t x_size, const word y[], size_t y_size)
- {
- word borrow = 0;
-
- const size_t blocks = y_size - (y_size % 8);
-
- for(size_t i = 0; i != blocks; i += 8)
- borrow = word8_sub2(x + i, y + i, borrow);
-
- for(size_t i = blocks; i != y_size; ++i)
- x[i] = word_sub(x[i], y[i], &borrow);
-
- for(size_t i = y_size; i != x_size; ++i)
- x[i] = word_sub(x[i], 0, &borrow);
-
- return borrow;
- }
-
-/*
-* Two Operand Subtraction x = y - x
-*/
-void bigint_sub2_rev(word x[], const word y[], size_t y_size)
- {
- word borrow = 0;
-
- const size_t blocks = y_size - (y_size % 8);
-
- for(size_t i = 0; i != blocks; i += 8)
- borrow = word8_sub2_rev(x + i, y + i, borrow);
-
- for(size_t i = blocks; i != y_size; ++i)
- x[i] = word_sub(y[i], x[i], &borrow);
-
- if(borrow)
- throw Internal_Error("bigint_sub2_rev: x >= y");
- }
-
-/*
-* Three Operand Subtraction
-*/
-word bigint_sub3(word z[], const word x[], size_t x_size,
- const word y[], size_t y_size)
- {
- word borrow = 0;
-
- const size_t blocks = y_size - (y_size % 8);
-
- for(size_t i = 0; i != blocks; i += 8)
- borrow = word8_sub3(z + i, x + i, y + i, borrow);
-
- for(size_t i = blocks; i != y_size; ++i)
- z[i] = word_sub(x[i], y[i], &borrow);
-
- for(size_t i = y_size; i != x_size; ++i)
- z[i] = word_sub(x[i], 0, &borrow);
-
- return borrow;
- }
-
-/*
-* Two Operand Linear Multiply
-*/
-void bigint_linmul2(word x[], size_t x_size, word y)
- {
- const size_t blocks = x_size - (x_size % 8);
-
- word carry = 0;
-
- for(size_t i = 0; i != blocks; i += 8)
- carry = word8_linmul2(x + i, y, carry);
-
- for(size_t i = blocks; i != x_size; ++i)
- x[i] = word_madd2(x[i], y, &carry);
-
- x[x_size] = carry;
- }
-
-/*
-* Three Operand Linear Multiply
-*/
-void bigint_linmul3(word z[], const word x[], size_t x_size, word y)
- {
- const size_t blocks = x_size - (x_size % 8);
-
- word carry = 0;
-
- for(size_t i = 0; i != blocks; i += 8)
- carry = word8_linmul3(z + i, x + i, y, carry);
-
- for(size_t i = blocks; i != x_size; ++i)
- z[i] = word_madd2(x[i], y, &carry);
-
- z[x_size] = carry;
- }
-
-}
-
-}
diff --git a/src/math/mp/mp_comba.cpp b/src/math/mp/mp_comba.cpp
deleted file mode 100644
index 99dcda176..000000000
--- a/src/math/mp/mp_comba.cpp
+++ /dev/null
@@ -1,920 +0,0 @@
-/*
-* Comba Multiplication and Squaring
-* (C) 1999-2007,2011 Jack Lloyd
-*
-* Distributed under the terms of the Botan license
-*/
-
-#include <botan/internal/mp_core.h>
-#include <botan/internal/mp_asmi.h>
-
-namespace Botan {
-
-extern "C" {
-
-/*
-* Comba 4x4 Squaring
-*/
-void bigint_comba_sqr4(word z[8], const word x[4])
- {
- word w2 = 0, w1 = 0, w0 = 0;
-
- word3_muladd(&w2, &w1, &w0, x[ 0], x[ 0]);
- z[ 0] = w0; w0 = 0;
-
- word3_muladd_2(&w0, &w2, &w1, x[ 0], x[ 1]);
- z[ 1] = w1; w1 = 0;
-
- word3_muladd_2(&w1, &w0, &w2, x[ 0], x[ 2]);
- word3_muladd(&w1, &w0, &w2, x[ 1], x[ 1]);
- z[ 2] = w2; w2 = 0;
-
- word3_muladd_2(&w2, &w1, &w0, x[ 0], x[ 3]);
- word3_muladd_2(&w2, &w1, &w0, x[ 1], x[ 2]);
- z[ 3] = w0; w0 = 0;
-
- word3_muladd_2(&w0, &w2, &w1, x[ 1], x[ 3]);
- word3_muladd(&w0, &w2, &w1, x[ 2], x[ 2]);
- z[ 4] = w1; w1 = 0;
-
- word3_muladd_2(&w1, &w0, &w2, x[ 2], x[ 3]);
- z[ 5] = w2; w2 = 0;
-
- word3_muladd(&w2, &w1, &w0, x[ 3], x[ 3]);
- z[ 6] = w0;
- z[ 7] = w1;
- }
-
-/*
-* Comba 4x4 Multiplication
-*/
-void bigint_comba_mul4(word z[8], const word x[4], const word y[4])
- {
- word w2 = 0, w1 = 0, w0 = 0;
-
- word3_muladd(&w2, &w1, &w0, x[ 0], y[ 0]);
- z[ 0] = w0; w0 = 0;
-
- word3_muladd(&w0, &w2, &w1, x[ 0], y[ 1]);
- word3_muladd(&w0, &w2, &w1, x[ 1], y[ 0]);
- z[ 1] = w1; w1 = 0;
-
- word3_muladd(&w1, &w0, &w2, x[ 0], y[ 2]);
- word3_muladd(&w1, &w0, &w2, x[ 1], y[ 1]);
- word3_muladd(&w1, &w0, &w2, x[ 2], y[ 0]);
- z[ 2] = w2; w2 = 0;
-
- word3_muladd(&w2, &w1, &w0, x[ 0], y[ 3]);
- word3_muladd(&w2, &w1, &w0, x[ 1], y[ 2]);
- word3_muladd(&w2, &w1, &w0, x[ 2], y[ 1]);
- word3_muladd(&w2, &w1, &w0, x[ 3], y[ 0]);
- z[ 3] = w0; w0 = 0;
-
- word3_muladd(&w0, &w2, &w1, x[ 1], y[ 3]);
- word3_muladd(&w0, &w2, &w1, x[ 2], y[ 2]);
- word3_muladd(&w0, &w2, &w1, x[ 3], y[ 1]);
- z[ 4] = w1; w1 = 0;
-
- word3_muladd(&w1, &w0, &w2, x[ 2], y[ 3]);
- word3_muladd(&w1, &w0, &w2, x[ 3], y[ 2]);
- z[ 5] = w2; w2 = 0;
-
- word3_muladd(&w2, &w1, &w0, x[ 3], y[ 3]);
- z[ 6] = w0;
- z[ 7] = w1;
- }
-
-/*
-* Comba 6x6 Squaring
-*/
-void bigint_comba_sqr6(word z[12], const word x[6])
- {
- word w2 = 0, w1 = 0, w0 = 0;
-
- word3_muladd(&w2, &w1, &w0, x[ 0], x[ 0]);
- z[ 0] = w0; w0 = 0;
-
- word3_muladd_2(&w0, &w2, &w1, x[ 0], x[ 1]);
- z[ 1] = w1; w1 = 0;
-
- word3_muladd_2(&w1, &w0, &w2, x[ 0], x[ 2]);
- word3_muladd(&w1, &w0, &w2, x[ 1], x[ 1]);
- z[ 2] = w2; w2 = 0;
-
- word3_muladd_2(&w2, &w1, &w0, x[ 0], x[ 3]);
- word3_muladd_2(&w2, &w1, &w0, x[ 1], x[ 2]);
- z[ 3] = w0; w0 = 0;
-
- word3_muladd_2(&w0, &w2, &w1, x[ 0], x[ 4]);
- word3_muladd_2(&w0, &w2, &w1, x[ 1], x[ 3]);
- word3_muladd(&w0, &w2, &w1, x[ 2], x[ 2]);
- z[ 4] = w1; w1 = 0;
-
- word3_muladd_2(&w1, &w0, &w2, x[ 0], x[ 5]);
- word3_muladd_2(&w1, &w0, &w2, x[ 1], x[ 4]);
- word3_muladd_2(&w1, &w0, &w2, x[ 2], x[ 3]);
- z[ 5] = w2; w2 = 0;
-
- word3_muladd_2(&w2, &w1, &w0, x[ 1], x[ 5]);
- word3_muladd_2(&w2, &w1, &w0, x[ 2], x[ 4]);
- word3_muladd(&w2, &w1, &w0, x[ 3], x[ 3]);
- z[ 6] = w0; w0 = 0;
-
- word3_muladd_2(&w0, &w2, &w1, x[ 2], x[ 5]);
- word3_muladd_2(&w0, &w2, &w1, x[ 3], x[ 4]);
- z[ 7] = w1; w1 = 0;
-
- word3_muladd_2(&w1, &w0, &w2, x[ 3], x[ 5]);
- word3_muladd(&w1, &w0, &w2, x[ 4], x[ 4]);
- z[ 8] = w2; w2 = 0;
-
- word3_muladd_2(&w2, &w1, &w0, x[ 4], x[ 5]);
- z[ 9] = w0; w0 = 0;
-
- word3_muladd(&w0, &w2, &w1, x[ 5], x[ 5]);
- z[10] = w1;
- z[11] = w2;
- }
-
-/*
-* Comba 6x6 Multiplication
-*/
-void bigint_comba_mul6(word z[12], const word x[6], const word y[6])
- {
- word w2 = 0, w1 = 0, w0 = 0;
-
- word3_muladd(&w2, &w1, &w0, x[ 0], y[ 0]);
- z[ 0] = w0; w0 = 0;
-
- word3_muladd(&w0, &w2, &w1, x[ 0], y[ 1]);
- word3_muladd(&w0, &w2, &w1, x[ 1], y[ 0]);
- z[ 1] = w1; w1 = 0;
-
- word3_muladd(&w1, &w0, &w2, x[ 0], y[ 2]);
- word3_muladd(&w1, &w0, &w2, x[ 1], y[ 1]);
- word3_muladd(&w1, &w0, &w2, x[ 2], y[ 0]);
- z[ 2] = w2; w2 = 0;
-
- word3_muladd(&w2, &w1, &w0, x[ 0], y[ 3]);
- word3_muladd(&w2, &w1, &w0, x[ 1], y[ 2]);
- word3_muladd(&w2, &w1, &w0, x[ 2], y[ 1]);
- word3_muladd(&w2, &w1, &w0, x[ 3], y[ 0]);
- z[ 3] = w0; w0 = 0;
-
- word3_muladd(&w0, &w2, &w1, x[ 0], y[ 4]);
- word3_muladd(&w0, &w2, &w1, x[ 1], y[ 3]);
- word3_muladd(&w0, &w2, &w1, x[ 2], y[ 2]);
- word3_muladd(&w0, &w2, &w1, x[ 3], y[ 1]);
- word3_muladd(&w0, &w2, &w1, x[ 4], y[ 0]);
- z[ 4] = w1; w1 = 0;
-
- word3_muladd(&w1, &w0, &w2, x[ 0], y[ 5]);
- word3_muladd(&w1, &w0, &w2, x[ 1], y[ 4]);
- word3_muladd(&w1, &w0, &w2, x[ 2], y[ 3]);
- word3_muladd(&w1, &w0, &w2, x[ 3], y[ 2]);
- word3_muladd(&w1, &w0, &w2, x[ 4], y[ 1]);
- word3_muladd(&w1, &w0, &w2, x[ 5], y[ 0]);
- z[ 5] = w2; w2 = 0;
-
- word3_muladd(&w2, &w1, &w0, x[ 1], y[ 5]);
- word3_muladd(&w2, &w1, &w0, x[ 2], y[ 4]);
- word3_muladd(&w2, &w1, &w0, x[ 3], y[ 3]);
- word3_muladd(&w2, &w1, &w0, x[ 4], y[ 2]);
- word3_muladd(&w2, &w1, &w0, x[ 5], y[ 1]);
- z[ 6] = w0; w0 = 0;
-
- word3_muladd(&w0, &w2, &w1, x[ 2], y[ 5]);
- word3_muladd(&w0, &w2, &w1, x[ 3], y[ 4]);
- word3_muladd(&w0, &w2, &w1, x[ 4], y[ 3]);
- word3_muladd(&w0, &w2, &w1, x[ 5], y[ 2]);
- z[ 7] = w1; w1 = 0;
-
- word3_muladd(&w1, &w0, &w2, x[ 3], y[ 5]);
- word3_muladd(&w1, &w0, &w2, x[ 4], y[ 4]);
- word3_muladd(&w1, &w0, &w2, x[ 5], y[ 3]);
- z[ 8] = w2; w2 = 0;
-
- word3_muladd(&w2, &w1, &w0, x[ 4], y[ 5]);
- word3_muladd(&w2, &w1, &w0, x[ 5], y[ 4]);
- z[ 9] = w0; w0 = 0;
-
- word3_muladd(&w0, &w2, &w1, x[ 5], y[ 5]);
- z[10] = w1;
- z[11] = w2;
- }
-
-/*
-* Comba 8x8 Squaring
-*/
-void bigint_comba_sqr8(word z[16], const word x[8])
- {
- word w2 = 0, w1 = 0, w0 = 0;
-
- word3_muladd(&w2, &w1, &w0, x[ 0], x[ 0]);
- z[ 0] = w0; w0 = 0;
-
- word3_muladd_2(&w0, &w2, &w1, x[ 0], x[ 1]);
- z[ 1] = w1; w1 = 0;
-
- word3_muladd_2(&w1, &w0, &w2, x[ 0], x[ 2]);
- word3_muladd(&w1, &w0, &w2, x[ 1], x[ 1]);
- z[ 2] = w2; w2 = 0;
-
- word3_muladd_2(&w2, &w1, &w0, x[ 0], x[ 3]);
- word3_muladd_2(&w2, &w1, &w0, x[ 1], x[ 2]);
- z[ 3] = w0; w0 = 0;
-
- word3_muladd_2(&w0, &w2, &w1, x[ 0], x[ 4]);
- word3_muladd_2(&w0, &w2, &w1, x[ 1], x[ 3]);
- word3_muladd(&w0, &w2, &w1, x[ 2], x[ 2]);
- z[ 4] = w1; w1 = 0;
-
- word3_muladd_2(&w1, &w0, &w2, x[ 0], x[ 5]);
- word3_muladd_2(&w1, &w0, &w2, x[ 1], x[ 4]);
- word3_muladd_2(&w1, &w0, &w2, x[ 2], x[ 3]);
- z[ 5] = w2; w2 = 0;
-
- word3_muladd_2(&w2, &w1, &w0, x[ 0], x[ 6]);
- word3_muladd_2(&w2, &w1, &w0, x[ 1], x[ 5]);
- word3_muladd_2(&w2, &w1, &w0, x[ 2], x[ 4]);
- word3_muladd(&w2, &w1, &w0, x[ 3], x[ 3]);
- z[ 6] = w0; w0 = 0;
-
- word3_muladd_2(&w0, &w2, &w1, x[ 0], x[ 7]);
- word3_muladd_2(&w0, &w2, &w1, x[ 1], x[ 6]);
- word3_muladd_2(&w0, &w2, &w1, x[ 2], x[ 5]);
- word3_muladd_2(&w0, &w2, &w1, x[ 3], x[ 4]);
- z[ 7] = w1; w1 = 0;
-
- word3_muladd_2(&w1, &w0, &w2, x[ 1], x[ 7]);
- word3_muladd_2(&w1, &w0, &w2, x[ 2], x[ 6]);
- word3_muladd_2(&w1, &w0, &w2, x[ 3], x[ 5]);
- word3_muladd(&w1, &w0, &w2, x[ 4], x[ 4]);
- z[ 8] = w2; w2 = 0;
-
- word3_muladd_2(&w2, &w1, &w0, x[ 2], x[ 7]);
- word3_muladd_2(&w2, &w1, &w0, x[ 3], x[ 6]);
- word3_muladd_2(&w2, &w1, &w0, x[ 4], x[ 5]);
- z[ 9] = w0; w0 = 0;
-
- word3_muladd_2(&w0, &w2, &w1, x[ 3], x[ 7]);
- word3_muladd_2(&w0, &w2, &w1, x[ 4], x[ 6]);
- word3_muladd(&w0, &w2, &w1, x[ 5], x[ 5]);
- z[10] = w1; w1 = 0;
-
- word3_muladd_2(&w1, &w0, &w2, x[ 4], x[ 7]);
- word3_muladd_2(&w1, &w0, &w2, x[ 5], x[ 6]);
- z[11] = w2; w2 = 0;
-
- word3_muladd_2(&w2, &w1, &w0, x[ 5], x[ 7]);
- word3_muladd(&w2, &w1, &w0, x[ 6], x[ 6]);
- z[12] = w0; w0 = 0;
-
- word3_muladd_2(&w0, &w2, &w1, x[ 6], x[ 7]);
- z[13] = w1; w1 = 0;
-
- word3_muladd(&w1, &w0, &w2, x[ 7], x[ 7]);
- z[14] = w2;
- z[15] = w0;
- }
-
-/*
-* Comba 8x8 Multiplication
-*/
-void bigint_comba_mul8(word z[16], const word x[8], const word y[8])
- {
- word w2 = 0, w1 = 0, w0 = 0;
-
- word3_muladd(&w2, &w1, &w0, x[ 0], y[ 0]);
- z[ 0] = w0; w0 = 0;
-
- word3_muladd(&w0, &w2, &w1, x[ 0], y[ 1]);
- word3_muladd(&w0, &w2, &w1, x[ 1], y[ 0]);
- z[ 1] = w1; w1 = 0;
-
- word3_muladd(&w1, &w0, &w2, x[ 0], y[ 2]);
- word3_muladd(&w1, &w0, &w2, x[ 1], y[ 1]);
- word3_muladd(&w1, &w0, &w2, x[ 2], y[ 0]);
- z[ 2] = w2; w2 = 0;
-
- word3_muladd(&w2, &w1, &w0, x[ 0], y[ 3]);
- word3_muladd(&w2, &w1, &w0, x[ 1], y[ 2]);
- word3_muladd(&w2, &w1, &w0, x[ 2], y[ 1]);
- word3_muladd(&w2, &w1, &w0, x[ 3], y[ 0]);
- z[ 3] = w0; w0 = 0;
-
- word3_muladd(&w0, &w2, &w1, x[ 0], y[ 4]);
- word3_muladd(&w0, &w2, &w1, x[ 1], y[ 3]);
- word3_muladd(&w0, &w2, &w1, x[ 2], y[ 2]);
- word3_muladd(&w0, &w2, &w1, x[ 3], y[ 1]);
- word3_muladd(&w0, &w2, &w1, x[ 4], y[ 0]);
- z[ 4] = w1; w1 = 0;
-
- word3_muladd(&w1, &w0, &w2, x[ 0], y[ 5]);
- word3_muladd(&w1, &w0, &w2, x[ 1], y[ 4]);
- word3_muladd(&w1, &w0, &w2, x[ 2], y[ 3]);
- word3_muladd(&w1, &w0, &w2, x[ 3], y[ 2]);
- word3_muladd(&w1, &w0, &w2, x[ 4], y[ 1]);
- word3_muladd(&w1, &w0, &w2, x[ 5], y[ 0]);
- z[ 5] = w2; w2 = 0;
-
- word3_muladd(&w2, &w1, &w0, x[ 0], y[ 6]);
- word3_muladd(&w2, &w1, &w0, x[ 1], y[ 5]);
- word3_muladd(&w2, &w1, &w0, x[ 2], y[ 4]);
- word3_muladd(&w2, &w1, &w0, x[ 3], y[ 3]);
- word3_muladd(&w2, &w1, &w0, x[ 4], y[ 2]);
- word3_muladd(&w2, &w1, &w0, x[ 5], y[ 1]);
- word3_muladd(&w2, &w1, &w0, x[ 6], y[ 0]);
- z[ 6] = w0; w0 = 0;
-
- word3_muladd(&w0, &w2, &w1, x[ 0], y[ 7]);
- word3_muladd(&w0, &w2, &w1, x[ 1], y[ 6]);
- word3_muladd(&w0, &w2, &w1, x[ 2], y[ 5]);
- word3_muladd(&w0, &w2, &w1, x[ 3], y[ 4]);
- word3_muladd(&w0, &w2, &w1, x[ 4], y[ 3]);
- word3_muladd(&w0, &w2, &w1, x[ 5], y[ 2]);
- word3_muladd(&w0, &w2, &w1, x[ 6], y[ 1]);
- word3_muladd(&w0, &w2, &w1, x[ 7], y[ 0]);
- z[ 7] = w1; w1 = 0;
-
- word3_muladd(&w1, &w0, &w2, x[ 1], y[ 7]);
- word3_muladd(&w1, &w0, &w2, x[ 2], y[ 6]);
- word3_muladd(&w1, &w0, &w2, x[ 3], y[ 5]);
- word3_muladd(&w1, &w0, &w2, x[ 4], y[ 4]);
- word3_muladd(&w1, &w0, &w2, x[ 5], y[ 3]);
- word3_muladd(&w1, &w0, &w2, x[ 6], y[ 2]);
- word3_muladd(&w1, &w0, &w2, x[ 7], y[ 1]);
- z[ 8] = w2; w2 = 0;
-
- word3_muladd(&w2, &w1, &w0, x[ 2], y[ 7]);
- word3_muladd(&w2, &w1, &w0, x[ 3], y[ 6]);
- word3_muladd(&w2, &w1, &w0, x[ 4], y[ 5]);
- word3_muladd(&w2, &w1, &w0, x[ 5], y[ 4]);
- word3_muladd(&w2, &w1, &w0, x[ 6], y[ 3]);
- word3_muladd(&w2, &w1, &w0, x[ 7], y[ 2]);
- z[ 9] = w0; w0 = 0;
-
- word3_muladd(&w0, &w2, &w1, x[ 3], y[ 7]);
- word3_muladd(&w0, &w2, &w1, x[ 4], y[ 6]);
- word3_muladd(&w0, &w2, &w1, x[ 5], y[ 5]);
- word3_muladd(&w0, &w2, &w1, x[ 6], y[ 4]);
- word3_muladd(&w0, &w2, &w1, x[ 7], y[ 3]);
- z[10] = w1; w1 = 0;
-
- word3_muladd(&w1, &w0, &w2, x[ 4], y[ 7]);
- word3_muladd(&w1, &w0, &w2, x[ 5], y[ 6]);
- word3_muladd(&w1, &w0, &w2, x[ 6], y[ 5]);
- word3_muladd(&w1, &w0, &w2, x[ 7], y[ 4]);
- z[11] = w2; w2 = 0;
-
- word3_muladd(&w2, &w1, &w0, x[ 5], y[ 7]);
- word3_muladd(&w2, &w1, &w0, x[ 6], y[ 6]);
- word3_muladd(&w2, &w1, &w0, x[ 7], y[ 5]);
- z[12] = w0; w0 = 0;
-
- word3_muladd(&w0, &w2, &w1, x[ 6], y[ 7]);
- word3_muladd(&w0, &w2, &w1, x[ 7], y[ 6]);
- z[13] = w1; w1 = 0;
-
- word3_muladd(&w1, &w0, &w2, x[ 7], y[ 7]);
- z[14] = w2;
- z[15] = w0;
- }
-
-/*
-* Comba 16x16 Squaring
-*/
-void bigint_comba_sqr16(word z[32], const word x[16])
- {
- word w2 = 0, w1 = 0, w0 = 0;
-
- word3_muladd(&w2, &w1, &w0, x[ 0], x[ 0]);
- z[ 0] = w0; w0 = 0;
-
- word3_muladd_2(&w0, &w2, &w1, x[ 0], x[ 1]);
- z[ 1] = w1; w1 = 0;
-
- word3_muladd_2(&w1, &w0, &w2, x[ 0], x[ 2]);
- word3_muladd(&w1, &w0, &w2, x[ 1], x[ 1]);
- z[ 2] = w2; w2 = 0;
-
- word3_muladd_2(&w2, &w1, &w0, x[ 0], x[ 3]);
- word3_muladd_2(&w2, &w1, &w0, x[ 1], x[ 2]);
- z[ 3] = w0; w0 = 0;
-
- word3_muladd_2(&w0, &w2, &w1, x[ 0], x[ 4]);
- word3_muladd_2(&w0, &w2, &w1, x[ 1], x[ 3]);
- word3_muladd(&w0, &w2, &w1, x[ 2], x[ 2]);
- z[ 4] = w1; w1 = 0;
-
- word3_muladd_2(&w1, &w0, &w2, x[ 0], x[ 5]);
- word3_muladd_2(&w1, &w0, &w2, x[ 1], x[ 4]);
- word3_muladd_2(&w1, &w0, &w2, x[ 2], x[ 3]);
- z[ 5] = w2; w2 = 0;
-
- word3_muladd_2(&w2, &w1, &w0, x[ 0], x[ 6]);
- word3_muladd_2(&w2, &w1, &w0, x[ 1], x[ 5]);
- word3_muladd_2(&w2, &w1, &w0, x[ 2], x[ 4]);
- word3_muladd(&w2, &w1, &w0, x[ 3], x[ 3]);
- z[ 6] = w0; w0 = 0;
-
- word3_muladd_2(&w0, &w2, &w1, x[ 0], x[ 7]);
- word3_muladd_2(&w0, &w2, &w1, x[ 1], x[ 6]);
- word3_muladd_2(&w0, &w2, &w1, x[ 2], x[ 5]);
- word3_muladd_2(&w0, &w2, &w1, x[ 3], x[ 4]);
- z[ 7] = w1; w1 = 0;
-
- word3_muladd_2(&w1, &w0, &w2, x[ 0], x[ 8]);
- word3_muladd_2(&w1, &w0, &w2, x[ 1], x[ 7]);
- word3_muladd_2(&w1, &w0, &w2, x[ 2], x[ 6]);
- word3_muladd_2(&w1, &w0, &w2, x[ 3], x[ 5]);
- word3_muladd(&w1, &w0, &w2, x[ 4], x[ 4]);
- z[ 8] = w2; w2 = 0;
-
- word3_muladd_2(&w2, &w1, &w0, x[ 0], x[ 9]);
- word3_muladd_2(&w2, &w1, &w0, x[ 1], x[ 8]);
- word3_muladd_2(&w2, &w1, &w0, x[ 2], x[ 7]);
- word3_muladd_2(&w2, &w1, &w0, x[ 3], x[ 6]);
- word3_muladd_2(&w2, &w1, &w0, x[ 4], x[ 5]);
- z[ 9] = w0; w0 = 0;
-
- word3_muladd_2(&w0, &w2, &w1, x[ 0], x[10]);
- word3_muladd_2(&w0, &w2, &w1, x[ 1], x[ 9]);
- word3_muladd_2(&w0, &w2, &w1, x[ 2], x[ 8]);
- word3_muladd_2(&w0, &w2, &w1, x[ 3], x[ 7]);
- word3_muladd_2(&w0, &w2, &w1, x[ 4], x[ 6]);
- word3_muladd(&w0, &w2, &w1, x[ 5], x[ 5]);
- z[10] = w1; w1 = 0;
-
- word3_muladd_2(&w1, &w0, &w2, x[ 0], x[11]);
- word3_muladd_2(&w1, &w0, &w2, x[ 1], x[10]);
- word3_muladd_2(&w1, &w0, &w2, x[ 2], x[ 9]);
- word3_muladd_2(&w1, &w0, &w2, x[ 3], x[ 8]);
- word3_muladd_2(&w1, &w0, &w2, x[ 4], x[ 7]);
- word3_muladd_2(&w1, &w0, &w2, x[ 5], x[ 6]);
- z[11] = w2; w2 = 0;
-
- word3_muladd_2(&w2, &w1, &w0, x[ 0], x[12]);
- word3_muladd_2(&w2, &w1, &w0, x[ 1], x[11]);
- word3_muladd_2(&w2, &w1, &w0, x[ 2], x[10]);
- word3_muladd_2(&w2, &w1, &w0, x[ 3], x[ 9]);
- word3_muladd_2(&w2, &w1, &w0, x[ 4], x[ 8]);
- word3_muladd_2(&w2, &w1, &w0, x[ 5], x[ 7]);
- word3_muladd(&w2, &w1, &w0, x[ 6], x[ 6]);
- z[12] = w0; w0 = 0;
-
- word3_muladd_2(&w0, &w2, &w1, x[ 0], x[13]);
- word3_muladd_2(&w0, &w2, &w1, x[ 1], x[12]);
- word3_muladd_2(&w0, &w2, &w1, x[ 2], x[11]);
- word3_muladd_2(&w0, &w2, &w1, x[ 3], x[10]);
- word3_muladd_2(&w0, &w2, &w1, x[ 4], x[ 9]);
- word3_muladd_2(&w0, &w2, &w1, x[ 5], x[ 8]);
- word3_muladd_2(&w0, &w2, &w1, x[ 6], x[ 7]);
- z[13] = w1; w1 = 0;
-
- word3_muladd_2(&w1, &w0, &w2, x[ 0], x[14]);
- word3_muladd_2(&w1, &w0, &w2, x[ 1], x[13]);
- word3_muladd_2(&w1, &w0, &w2, x[ 2], x[12]);
- word3_muladd_2(&w1, &w0, &w2, x[ 3], x[11]);
- word3_muladd_2(&w1, &w0, &w2, x[ 4], x[10]);
- word3_muladd_2(&w1, &w0, &w2, x[ 5], x[ 9]);
- word3_muladd_2(&w1, &w0, &w2, x[ 6], x[ 8]);
- word3_muladd(&w1, &w0, &w2, x[ 7], x[ 7]);
- z[14] = w2; w2 = 0;
-
- word3_muladd_2(&w2, &w1, &w0, x[ 0], x[15]);
- word3_muladd_2(&w2, &w1, &w0, x[ 1], x[14]);
- word3_muladd_2(&w2, &w1, &w0, x[ 2], x[13]);
- word3_muladd_2(&w2, &w1, &w0, x[ 3], x[12]);
- word3_muladd_2(&w2, &w1, &w0, x[ 4], x[11]);
- word3_muladd_2(&w2, &w1, &w0, x[ 5], x[10]);
- word3_muladd_2(&w2, &w1, &w0, x[ 6], x[ 9]);
- word3_muladd_2(&w2, &w1, &w0, x[ 7], x[ 8]);
- z[15] = w0; w0 = 0;
-
- word3_muladd_2(&w0, &w2, &w1, x[ 1], x[15]);
- word3_muladd_2(&w0, &w2, &w1, x[ 2], x[14]);
- word3_muladd_2(&w0, &w2, &w1, x[ 3], x[13]);
- word3_muladd_2(&w0, &w2, &w1, x[ 4], x[12]);
- word3_muladd_2(&w0, &w2, &w1, x[ 5], x[11]);
- word3_muladd_2(&w0, &w2, &w1, x[ 6], x[10]);
- word3_muladd_2(&w0, &w2, &w1, x[ 7], x[ 9]);
- word3_muladd(&w0, &w2, &w1, x[ 8], x[ 8]);
- z[16] = w1; w1 = 0;
-
- word3_muladd_2(&w1, &w0, &w2, x[ 2], x[15]);
- word3_muladd_2(&w1, &w0, &w2, x[ 3], x[14]);
- word3_muladd_2(&w1, &w0, &w2, x[ 4], x[13]);
- word3_muladd_2(&w1, &w0, &w2, x[ 5], x[12]);
- word3_muladd_2(&w1, &w0, &w2, x[ 6], x[11]);
- word3_muladd_2(&w1, &w0, &w2, x[ 7], x[10]);
- word3_muladd_2(&w1, &w0, &w2, x[ 8], x[ 9]);
- z[17] = w2; w2 = 0;
-
- word3_muladd_2(&w2, &w1, &w0, x[ 3], x[15]);
- word3_muladd_2(&w2, &w1, &w0, x[ 4], x[14]);
- word3_muladd_2(&w2, &w1, &w0, x[ 5], x[13]);
- word3_muladd_2(&w2, &w1, &w0, x[ 6], x[12]);
- word3_muladd_2(&w2, &w1, &w0, x[ 7], x[11]);
- word3_muladd_2(&w2, &w1, &w0, x[ 8], x[10]);
- word3_muladd(&w2, &w1, &w0, x[ 9], x[ 9]);
- z[18] = w0; w0 = 0;
-
- word3_muladd_2(&w0, &w2, &w1, x[ 4], x[15]);
- word3_muladd_2(&w0, &w2, &w1, x[ 5], x[14]);
- word3_muladd_2(&w0, &w2, &w1, x[ 6], x[13]);
- word3_muladd_2(&w0, &w2, &w1, x[ 7], x[12]);
- word3_muladd_2(&w0, &w2, &w1, x[ 8], x[11]);
- word3_muladd_2(&w0, &w2, &w1, x[ 9], x[10]);
- z[19] = w1; w1 = 0;
-
- word3_muladd_2(&w1, &w0, &w2, x[ 5], x[15]);
- word3_muladd_2(&w1, &w0, &w2, x[ 6], x[14]);
- word3_muladd_2(&w1, &w0, &w2, x[ 7], x[13]);
- word3_muladd_2(&w1, &w0, &w2, x[ 8], x[12]);
- word3_muladd_2(&w1, &w0, &w2, x[ 9], x[11]);
- word3_muladd(&w1, &w0, &w2, x[10], x[10]);
- z[20] = w2; w2 = 0;
-
- word3_muladd_2(&w2, &w1, &w0, x[ 6], x[15]);
- word3_muladd_2(&w2, &w1, &w0, x[ 7], x[14]);
- word3_muladd_2(&w2, &w1, &w0, x[ 8], x[13]);
- word3_muladd_2(&w2, &w1, &w0, x[ 9], x[12]);
- word3_muladd_2(&w2, &w1, &w0, x[10], x[11]);
- z[21] = w0; w0 = 0;
-
- word3_muladd_2(&w0, &w2, &w1, x[ 7], x[15]);
- word3_muladd_2(&w0, &w2, &w1, x[ 8], x[14]);
- word3_muladd_2(&w0, &w2, &w1, x[ 9], x[13]);
- word3_muladd_2(&w0, &w2, &w1, x[10], x[12]);
- word3_muladd(&w0, &w2, &w1, x[11], x[11]);
- z[22] = w1; w1 = 0;
-
- word3_muladd_2(&w1, &w0, &w2, x[ 8], x[15]);
- word3_muladd_2(&w1, &w0, &w2, x[ 9], x[14]);
- word3_muladd_2(&w1, &w0, &w2, x[10], x[13]);
- word3_muladd_2(&w1, &w0, &w2, x[11], x[12]);
- z[23] = w2; w2 = 0;
-
- word3_muladd_2(&w2, &w1, &w0, x[ 9], x[15]);
- word3_muladd_2(&w2, &w1, &w0, x[10], x[14]);
- word3_muladd_2(&w2, &w1, &w0, x[11], x[13]);
- word3_muladd(&w2, &w1, &w0, x[12], x[12]);
- z[24] = w0; w0 = 0;
-
- word3_muladd_2(&w0, &w2, &w1, x[10], x[15]);
- word3_muladd_2(&w0, &w2, &w1, x[11], x[14]);
- word3_muladd_2(&w0, &w2, &w1, x[12], x[13]);
- z[25] = w1; w1 = 0;
-
- word3_muladd_2(&w1, &w0, &w2, x[11], x[15]);
- word3_muladd_2(&w1, &w0, &w2, x[12], x[14]);
- word3_muladd(&w1, &w0, &w2, x[13], x[13]);
- z[26] = w2; w2 = 0;
-
- word3_muladd_2(&w2, &w1, &w0, x[12], x[15]);
- word3_muladd_2(&w2, &w1, &w0, x[13], x[14]);
- z[27] = w0; w0 = 0;
-
- word3_muladd_2(&w0, &w2, &w1, x[13], x[15]);
- word3_muladd(&w0, &w2, &w1, x[14], x[14]);
- z[28] = w1; w1 = 0;
-
- word3_muladd_2(&w1, &w0, &w2, x[14], x[15]);
- z[29] = w2; w2 = 0;
-
- word3_muladd(&w2, &w1, &w0, x[15], x[15]);
- z[30] = w0;
- z[31] = w1;
- }
-
-/*
-* Comba 16x16 Multiplication
-*/
-void bigint_comba_mul16(word z[32], const word x[16], const word y[16])
- {
- word w2 = 0, w1 = 0, w0 = 0;
-
- word3_muladd(&w2, &w1, &w0, x[ 0], y[ 0]);
- z[ 0] = w0; w0 = 0;
-
- word3_muladd(&w0, &w2, &w1, x[ 0], y[ 1]);
- word3_muladd(&w0, &w2, &w1, x[ 1], y[ 0]);
- z[ 1] = w1; w1 = 0;
-
- word3_muladd(&w1, &w0, &w2, x[ 0], y[ 2]);
- word3_muladd(&w1, &w0, &w2, x[ 1], y[ 1]);
- word3_muladd(&w1, &w0, &w2, x[ 2], y[ 0]);
- z[ 2] = w2; w2 = 0;
-
- word3_muladd(&w2, &w1, &w0, x[ 0], y[ 3]);
- word3_muladd(&w2, &w1, &w0, x[ 1], y[ 2]);
- word3_muladd(&w2, &w1, &w0, x[ 2], y[ 1]);
- word3_muladd(&w2, &w1, &w0, x[ 3], y[ 0]);
- z[ 3] = w0; w0 = 0;
-
- word3_muladd(&w0, &w2, &w1, x[ 0], y[ 4]);
- word3_muladd(&w0, &w2, &w1, x[ 1], y[ 3]);
- word3_muladd(&w0, &w2, &w1, x[ 2], y[ 2]);
- word3_muladd(&w0, &w2, &w1, x[ 3], y[ 1]);
- word3_muladd(&w0, &w2, &w1, x[ 4], y[ 0]);
- z[ 4] = w1; w1 = 0;
-
- word3_muladd(&w1, &w0, &w2, x[ 0], y[ 5]);
- word3_muladd(&w1, &w0, &w2, x[ 1], y[ 4]);
- word3_muladd(&w1, &w0, &w2, x[ 2], y[ 3]);
- word3_muladd(&w1, &w0, &w2, x[ 3], y[ 2]);
- word3_muladd(&w1, &w0, &w2, x[ 4], y[ 1]);
- word3_muladd(&w1, &w0, &w2, x[ 5], y[ 0]);
- z[ 5] = w2; w2 = 0;
-
- word3_muladd(&w2, &w1, &w0, x[ 0], y[ 6]);
- word3_muladd(&w2, &w1, &w0, x[ 1], y[ 5]);
- word3_muladd(&w2, &w1, &w0, x[ 2], y[ 4]);
- word3_muladd(&w2, &w1, &w0, x[ 3], y[ 3]);
- word3_muladd(&w2, &w1, &w0, x[ 4], y[ 2]);
- word3_muladd(&w2, &w1, &w0, x[ 5], y[ 1]);
- word3_muladd(&w2, &w1, &w0, x[ 6], y[ 0]);
- z[ 6] = w0; w0 = 0;
-
- word3_muladd(&w0, &w2, &w1, x[ 0], y[ 7]);
- word3_muladd(&w0, &w2, &w1, x[ 1], y[ 6]);
- word3_muladd(&w0, &w2, &w1, x[ 2], y[ 5]);
- word3_muladd(&w0, &w2, &w1, x[ 3], y[ 4]);
- word3_muladd(&w0, &w2, &w1, x[ 4], y[ 3]);
- word3_muladd(&w0, &w2, &w1, x[ 5], y[ 2]);
- word3_muladd(&w0, &w2, &w1, x[ 6], y[ 1]);
- word3_muladd(&w0, &w2, &w1, x[ 7], y[ 0]);
- z[ 7] = w1; w1 = 0;
-
- word3_muladd(&w1, &w0, &w2, x[ 0], y[ 8]);
- word3_muladd(&w1, &w0, &w2, x[ 1], y[ 7]);
- word3_muladd(&w1, &w0, &w2, x[ 2], y[ 6]);
- word3_muladd(&w1, &w0, &w2, x[ 3], y[ 5]);
- word3_muladd(&w1, &w0, &w2, x[ 4], y[ 4]);
- word3_muladd(&w1, &w0, &w2, x[ 5], y[ 3]);
- word3_muladd(&w1, &w0, &w2, x[ 6], y[ 2]);
- word3_muladd(&w1, &w0, &w2, x[ 7], y[ 1]);
- word3_muladd(&w1, &w0, &w2, x[ 8], y[ 0]);
- z[ 8] = w2; w2 = 0;
-
- word3_muladd(&w2, &w1, &w0, x[ 0], y[ 9]);
- word3_muladd(&w2, &w1, &w0, x[ 1], y[ 8]);
- word3_muladd(&w2, &w1, &w0, x[ 2], y[ 7]);
- word3_muladd(&w2, &w1, &w0, x[ 3], y[ 6]);
- word3_muladd(&w2, &w1, &w0, x[ 4], y[ 5]);
- word3_muladd(&w2, &w1, &w0, x[ 5], y[ 4]);
- word3_muladd(&w2, &w1, &w0, x[ 6], y[ 3]);
- word3_muladd(&w2, &w1, &w0, x[ 7], y[ 2]);
- word3_muladd(&w2, &w1, &w0, x[ 8], y[ 1]);
- word3_muladd(&w2, &w1, &w0, x[ 9], y[ 0]);
- z[ 9] = w0; w0 = 0;
-
- word3_muladd(&w0, &w2, &w1, x[ 0], y[10]);
- word3_muladd(&w0, &w2, &w1, x[ 1], y[ 9]);
- word3_muladd(&w0, &w2, &w1, x[ 2], y[ 8]);
- word3_muladd(&w0, &w2, &w1, x[ 3], y[ 7]);
- word3_muladd(&w0, &w2, &w1, x[ 4], y[ 6]);
- word3_muladd(&w0, &w2, &w1, x[ 5], y[ 5]);
- word3_muladd(&w0, &w2, &w1, x[ 6], y[ 4]);
- word3_muladd(&w0, &w2, &w1, x[ 7], y[ 3]);
- word3_muladd(&w0, &w2, &w1, x[ 8], y[ 2]);
- word3_muladd(&w0, &w2, &w1, x[ 9], y[ 1]);
- word3_muladd(&w0, &w2, &w1, x[10], y[ 0]);
- z[10] = w1; w1 = 0;
-
- word3_muladd(&w1, &w0, &w2, x[ 0], y[11]);
- word3_muladd(&w1, &w0, &w2, x[ 1], y[10]);
- word3_muladd(&w1, &w0, &w2, x[ 2], y[ 9]);
- word3_muladd(&w1, &w0, &w2, x[ 3], y[ 8]);
- word3_muladd(&w1, &w0, &w2, x[ 4], y[ 7]);
- word3_muladd(&w1, &w0, &w2, x[ 5], y[ 6]);
- word3_muladd(&w1, &w0, &w2, x[ 6], y[ 5]);
- word3_muladd(&w1, &w0, &w2, x[ 7], y[ 4]);
- word3_muladd(&w1, &w0, &w2, x[ 8], y[ 3]);
- word3_muladd(&w1, &w0, &w2, x[ 9], y[ 2]);
- word3_muladd(&w1, &w0, &w2, x[10], y[ 1]);
- word3_muladd(&w1, &w0, &w2, x[11], y[ 0]);
- z[11] = w2; w2 = 0;
-
- word3_muladd(&w2, &w1, &w0, x[ 0], y[12]);
- word3_muladd(&w2, &w1, &w0, x[ 1], y[11]);
- word3_muladd(&w2, &w1, &w0, x[ 2], y[10]);
- word3_muladd(&w2, &w1, &w0, x[ 3], y[ 9]);
- word3_muladd(&w2, &w1, &w0, x[ 4], y[ 8]);
- word3_muladd(&w2, &w1, &w0, x[ 5], y[ 7]);
- word3_muladd(&w2, &w1, &w0, x[ 6], y[ 6]);
- word3_muladd(&w2, &w1, &w0, x[ 7], y[ 5]);
- word3_muladd(&w2, &w1, &w0, x[ 8], y[ 4]);
- word3_muladd(&w2, &w1, &w0, x[ 9], y[ 3]);
- word3_muladd(&w2, &w1, &w0, x[10], y[ 2]);
- word3_muladd(&w2, &w1, &w0, x[11], y[ 1]);
- word3_muladd(&w2, &w1, &w0, x[12], y[ 0]);
- z[12] = w0; w0 = 0;
-
- word3_muladd(&w0, &w2, &w1, x[ 0], y[13]);
- word3_muladd(&w0, &w2, &w1, x[ 1], y[12]);
- word3_muladd(&w0, &w2, &w1, x[ 2], y[11]);
- word3_muladd(&w0, &w2, &w1, x[ 3], y[10]);
- word3_muladd(&w0, &w2, &w1, x[ 4], y[ 9]);
- word3_muladd(&w0, &w2, &w1, x[ 5], y[ 8]);
- word3_muladd(&w0, &w2, &w1, x[ 6], y[ 7]);
- word3_muladd(&w0, &w2, &w1, x[ 7], y[ 6]);
- word3_muladd(&w0, &w2, &w1, x[ 8], y[ 5]);
- word3_muladd(&w0, &w2, &w1, x[ 9], y[ 4]);
- word3_muladd(&w0, &w2, &w1, x[10], y[ 3]);
- word3_muladd(&w0, &w2, &w1, x[11], y[ 2]);
- word3_muladd(&w0, &w2, &w1, x[12], y[ 1]);
- word3_muladd(&w0, &w2, &w1, x[13], y[ 0]);
- z[13] = w1; w1 = 0;
-
- word3_muladd(&w1, &w0, &w2, x[ 0], y[14]);
- word3_muladd(&w1, &w0, &w2, x[ 1], y[13]);
- word3_muladd(&w1, &w0, &w2, x[ 2], y[12]);
- word3_muladd(&w1, &w0, &w2, x[ 3], y[11]);
- word3_muladd(&w1, &w0, &w2, x[ 4], y[10]);
- word3_muladd(&w1, &w0, &w2, x[ 5], y[ 9]);
- word3_muladd(&w1, &w0, &w2, x[ 6], y[ 8]);
- word3_muladd(&w1, &w0, &w2, x[ 7], y[ 7]);
- word3_muladd(&w1, &w0, &w2, x[ 8], y[ 6]);
- word3_muladd(&w1, &w0, &w2, x[ 9], y[ 5]);
- word3_muladd(&w1, &w0, &w2, x[10], y[ 4]);
- word3_muladd(&w1, &w0, &w2, x[11], y[ 3]);
- word3_muladd(&w1, &w0, &w2, x[12], y[ 2]);
- word3_muladd(&w1, &w0, &w2, x[13], y[ 1]);
- word3_muladd(&w1, &w0, &w2, x[14], y[ 0]);
- z[14] = w2; w2 = 0;
-
- word3_muladd(&w2, &w1, &w0, x[ 0], y[15]);
- word3_muladd(&w2, &w1, &w0, x[ 1], y[14]);
- word3_muladd(&w2, &w1, &w0, x[ 2], y[13]);
- word3_muladd(&w2, &w1, &w0, x[ 3], y[12]);
- word3_muladd(&w2, &w1, &w0, x[ 4], y[11]);
- word3_muladd(&w2, &w1, &w0, x[ 5], y[10]);
- word3_muladd(&w2, &w1, &w0, x[ 6], y[ 9]);
- word3_muladd(&w2, &w1, &w0, x[ 7], y[ 8]);
- word3_muladd(&w2, &w1, &w0, x[ 8], y[ 7]);
- word3_muladd(&w2, &w1, &w0, x[ 9], y[ 6]);
- word3_muladd(&w2, &w1, &w0, x[10], y[ 5]);
- word3_muladd(&w2, &w1, &w0, x[11], y[ 4]);
- word3_muladd(&w2, &w1, &w0, x[12], y[ 3]);
- word3_muladd(&w2, &w1, &w0, x[13], y[ 2]);
- word3_muladd(&w2, &w1, &w0, x[14], y[ 1]);
- word3_muladd(&w2, &w1, &w0, x[15], y[ 0]);
- z[15] = w0; w0 = 0;
-
- word3_muladd(&w0, &w2, &w1, x[ 1], y[15]);
- word3_muladd(&w0, &w2, &w1, x[ 2], y[14]);
- word3_muladd(&w0, &w2, &w1, x[ 3], y[13]);
- word3_muladd(&w0, &w2, &w1, x[ 4], y[12]);
- word3_muladd(&w0, &w2, &w1, x[ 5], y[11]);
- word3_muladd(&w0, &w2, &w1, x[ 6], y[10]);
- word3_muladd(&w0, &w2, &w1, x[ 7], y[ 9]);
- word3_muladd(&w0, &w2, &w1, x[ 8], y[ 8]);
- word3_muladd(&w0, &w2, &w1, x[ 9], y[ 7]);
- word3_muladd(&w0, &w2, &w1, x[10], y[ 6]);
- word3_muladd(&w0, &w2, &w1, x[11], y[ 5]);
- word3_muladd(&w0, &w2, &w1, x[12], y[ 4]);
- word3_muladd(&w0, &w2, &w1, x[13], y[ 3]);
- word3_muladd(&w0, &w2, &w1, x[14], y[ 2]);
- word3_muladd(&w0, &w2, &w1, x[15], y[ 1]);
- z[16] = w1; w1 = 0;
-
- word3_muladd(&w1, &w0, &w2, x[ 2], y[15]);
- word3_muladd(&w1, &w0, &w2, x[ 3], y[14]);
- word3_muladd(&w1, &w0, &w2, x[ 4], y[13]);
- word3_muladd(&w1, &w0, &w2, x[ 5], y[12]);
- word3_muladd(&w1, &w0, &w2, x[ 6], y[11]);
- word3_muladd(&w1, &w0, &w2, x[ 7], y[10]);
- word3_muladd(&w1, &w0, &w2, x[ 8], y[ 9]);
- word3_muladd(&w1, &w0, &w2, x[ 9], y[ 8]);
- word3_muladd(&w1, &w0, &w2, x[10], y[ 7]);
- word3_muladd(&w1, &w0, &w2, x[11], y[ 6]);
- word3_muladd(&w1, &w0, &w2, x[12], y[ 5]);
- word3_muladd(&w1, &w0, &w2, x[13], y[ 4]);
- word3_muladd(&w1, &w0, &w2, x[14], y[ 3]);
- word3_muladd(&w1, &w0, &w2, x[15], y[ 2]);
- z[17] = w2; w2 = 0;
-
- word3_muladd(&w2, &w1, &w0, x[ 3], y[15]);
- word3_muladd(&w2, &w1, &w0, x[ 4], y[14]);
- word3_muladd(&w2, &w1, &w0, x[ 5], y[13]);
- word3_muladd(&w2, &w1, &w0, x[ 6], y[12]);
- word3_muladd(&w2, &w1, &w0, x[ 7], y[11]);
- word3_muladd(&w2, &w1, &w0, x[ 8], y[10]);
- word3_muladd(&w2, &w1, &w0, x[ 9], y[ 9]);
- word3_muladd(&w2, &w1, &w0, x[10], y[ 8]);
- word3_muladd(&w2, &w1, &w0, x[11], y[ 7]);
- word3_muladd(&w2, &w1, &w0, x[12], y[ 6]);
- word3_muladd(&w2, &w1, &w0, x[13], y[ 5]);
- word3_muladd(&w2, &w1, &w0, x[14], y[ 4]);
- word3_muladd(&w2, &w1, &w0, x[15], y[ 3]);
- z[18] = w0; w0 = 0;
-
- word3_muladd(&w0, &w2, &w1, x[ 4], y[15]);
- word3_muladd(&w0, &w2, &w1, x[ 5], y[14]);
- word3_muladd(&w0, &w2, &w1, x[ 6], y[13]);
- word3_muladd(&w0, &w2, &w1, x[ 7], y[12]);
- word3_muladd(&w0, &w2, &w1, x[ 8], y[11]);
- word3_muladd(&w0, &w2, &w1, x[ 9], y[10]);
- word3_muladd(&w0, &w2, &w1, x[10], y[ 9]);
- word3_muladd(&w0, &w2, &w1, x[11], y[ 8]);
- word3_muladd(&w0, &w2, &w1, x[12], y[ 7]);
- word3_muladd(&w0, &w2, &w1, x[13], y[ 6]);
- word3_muladd(&w0, &w2, &w1, x[14], y[ 5]);
- word3_muladd(&w0, &w2, &w1, x[15], y[ 4]);
- z[19] = w1; w1 = 0;
-
- word3_muladd(&w1, &w0, &w2, x[ 5], y[15]);
- word3_muladd(&w1, &w0, &w2, x[ 6], y[14]);
- word3_muladd(&w1, &w0, &w2, x[ 7], y[13]);
- word3_muladd(&w1, &w0, &w2, x[ 8], y[12]);
- word3_muladd(&w1, &w0, &w2, x[ 9], y[11]);
- word3_muladd(&w1, &w0, &w2, x[10], y[10]);
- word3_muladd(&w1, &w0, &w2, x[11], y[ 9]);
- word3_muladd(&w1, &w0, &w2, x[12], y[ 8]);
- word3_muladd(&w1, &w0, &w2, x[13], y[ 7]);
- word3_muladd(&w1, &w0, &w2, x[14], y[ 6]);
- word3_muladd(&w1, &w0, &w2, x[15], y[ 5]);
- z[20] = w2; w2 = 0;
-
- word3_muladd(&w2, &w1, &w0, x[ 6], y[15]);
- word3_muladd(&w2, &w1, &w0, x[ 7], y[14]);
- word3_muladd(&w2, &w1, &w0, x[ 8], y[13]);
- word3_muladd(&w2, &w1, &w0, x[ 9], y[12]);
- word3_muladd(&w2, &w1, &w0, x[10], y[11]);
- word3_muladd(&w2, &w1, &w0, x[11], y[10]);
- word3_muladd(&w2, &w1, &w0, x[12], y[ 9]);
- word3_muladd(&w2, &w1, &w0, x[13], y[ 8]);
- word3_muladd(&w2, &w1, &w0, x[14], y[ 7]);
- word3_muladd(&w2, &w1, &w0, x[15], y[ 6]);
- z[21] = w0; w0 = 0;
-
- word3_muladd(&w0, &w2, &w1, x[ 7], y[15]);
- word3_muladd(&w0, &w2, &w1, x[ 8], y[14]);
- word3_muladd(&w0, &w2, &w1, x[ 9], y[13]);
- word3_muladd(&w0, &w2, &w1, x[10], y[12]);
- word3_muladd(&w0, &w2, &w1, x[11], y[11]);
- word3_muladd(&w0, &w2, &w1, x[12], y[10]);
- word3_muladd(&w0, &w2, &w1, x[13], y[ 9]);
- word3_muladd(&w0, &w2, &w1, x[14], y[ 8]);
- word3_muladd(&w0, &w2, &w1, x[15], y[ 7]);
- z[22] = w1; w1 = 0;
-
- word3_muladd(&w1, &w0, &w2, x[ 8], y[15]);
- word3_muladd(&w1, &w0, &w2, x[ 9], y[14]);
- word3_muladd(&w1, &w0, &w2, x[10], y[13]);
- word3_muladd(&w1, &w0, &w2, x[11], y[12]);
- word3_muladd(&w1, &w0, &w2, x[12], y[11]);
- word3_muladd(&w1, &w0, &w2, x[13], y[10]);
- word3_muladd(&w1, &w0, &w2, x[14], y[ 9]);
- word3_muladd(&w1, &w0, &w2, x[15], y[ 8]);
- z[23] = w2; w2 = 0;
-
- word3_muladd(&w2, &w1, &w0, x[ 9], y[15]);
- word3_muladd(&w2, &w1, &w0, x[10], y[14]);
- word3_muladd(&w2, &w1, &w0, x[11], y[13]);
- word3_muladd(&w2, &w1, &w0, x[12], y[12]);
- word3_muladd(&w2, &w1, &w0, x[13], y[11]);
- word3_muladd(&w2, &w1, &w0, x[14], y[10]);
- word3_muladd(&w2, &w1, &w0, x[15], y[ 9]);
- z[24] = w0; w0 = 0;
-
- word3_muladd(&w0, &w2, &w1, x[10], y[15]);
- word3_muladd(&w0, &w2, &w1, x[11], y[14]);
- word3_muladd(&w0, &w2, &w1, x[12], y[13]);
- word3_muladd(&w0, &w2, &w1, x[13], y[12]);
- word3_muladd(&w0, &w2, &w1, x[14], y[11]);
- word3_muladd(&w0, &w2, &w1, x[15], y[10]);
- z[25] = w1; w1 = 0;
-
- word3_muladd(&w1, &w0, &w2, x[11], y[15]);
- word3_muladd(&w1, &w0, &w2, x[12], y[14]);
- word3_muladd(&w1, &w0, &w2, x[13], y[13]);
- word3_muladd(&w1, &w0, &w2, x[14], y[12]);
- word3_muladd(&w1, &w0, &w2, x[15], y[11]);
- z[26] = w2; w2 = 0;
-
- word3_muladd(&w2, &w1, &w0, x[12], y[15]);
- word3_muladd(&w2, &w1, &w0, x[13], y[14]);
- word3_muladd(&w2, &w1, &w0, x[14], y[13]);
- word3_muladd(&w2, &w1, &w0, x[15], y[12]);
- z[27] = w0; w0 = 0;
-
- word3_muladd(&w0, &w2, &w1, x[13], y[15]);
- word3_muladd(&w0, &w2, &w1, x[14], y[14]);
- word3_muladd(&w0, &w2, &w1, x[15], y[13]);
- z[28] = w1; w1 = 0;
-
- word3_muladd(&w1, &w0, &w2, x[14], y[15]);
- word3_muladd(&w1, &w0, &w2, x[15], y[14]);
- z[29] = w2; w2 = 0;
-
- word3_muladd(&w2, &w1, &w0, x[15], y[15]);
- z[30] = w0;
- z[31] = w1;
- }
-
-}
-
-}
diff --git a/src/math/mp/mp_core.h b/src/math/mp/mp_core.h
deleted file mode 100644
index c25cb994f..000000000
--- a/src/math/mp/mp_core.h
+++ /dev/null
@@ -1,175 +0,0 @@
-/*
-* MPI Algorithms
-* (C) 1999-2010 Jack Lloyd
-* 2006 Luca Piccarreta
-*
-* Distributed under the terms of the Botan license
-*/
-
-#ifndef BOTAN_MP_CORE_OPS_H__
-#define BOTAN_MP_CORE_OPS_H__
-
-#include <botan/mp_types.h>
-
-namespace Botan {
-
-/*
-* The size of the word type, in bits
-*/
-const size_t MP_WORD_BITS = BOTAN_MP_WORD_BITS;
-
-extern "C" {
-
-/**
-* Two operand addition
-* @param x the first operand (and output)
-* @param x_size size of x
-* @param y the second operand
-* @param y_size size of y (must be >= x_size)
-*/
-void bigint_add2(word x[], size_t x_size,
- const word y[], size_t y_size);
-
-/**
-* Three operand addition
-*/
-void bigint_add3(word z[],
- const word x[], size_t x_size,
- const word y[], size_t y_size);
-
-/**
-* Two operand addition with carry out
-*/
-word bigint_add2_nc(word x[], size_t x_size, const word y[], size_t y_size);
-
-/**
-* Three operand addition with carry out
-*/
-word bigint_add3_nc(word z[],
- const word x[], size_t x_size,
- const word y[], size_t y_size);
-
-/**
-* Two operand subtraction
-*/
-word bigint_sub2(word x[], size_t x_size,
- const word y[], size_t y_size);
-
-/**
-* Two operand subtraction, x = y - x; assumes y >= x
-*/
-void bigint_sub2_rev(word x[], const word y[], size_t y_size);
-
-/**
-* Three operand subtraction
-*/
-word bigint_sub3(word z[],
- const word x[], size_t x_size,
- const word y[], size_t y_size);
-
-/*
-* Shift Operations
-*/
-void bigint_shl1(word x[], size_t x_size,
- size_t word_shift, size_t bit_shift);
-
-void bigint_shr1(word x[], size_t x_size,
- size_t word_shift, size_t bit_shift);
-
-void bigint_shl2(word y[], const word x[], size_t x_size,
- size_t word_shift, size_t bit_shift);
-
-void bigint_shr2(word y[], const word x[], size_t x_size,
- size_t word_shift, size_t bit_shift);
-
-/*
-* Simple O(N^2) Multiplication and Squaring
-*/
-void bigint_simple_mul(word z[],
- const word x[], size_t x_size,
- const word y[], size_t y_size);
-
-void bigint_simple_sqr(word z[], const word x[], size_t x_size);
-
-/*
-* Linear Multiply
-*/
-void bigint_linmul2(word x[], size_t x_size, word y);
-void bigint_linmul3(word z[], const word x[], size_t x_size, word y);
-
-/**
-* Montgomery Reduction
-* @param z integer to reduce, of size exactly 2*(p_size+1).
- Output is in the first p_size+1 words, higher
- words are set to zero.
-* @param p modulus
-* @param p_size size of p
-* @param p_dash Montgomery value
-* @param workspace array of at least 2*(p_size+1) words
-*/
-void bigint_monty_redc(word z[],
- const word p[], size_t p_size,
- word p_dash,
- word workspace[]);
-
-/*
-* Montgomery Multiplication
-*/
-void bigint_monty_mul(word z[], size_t z_size,
- const word x[], size_t x_size, size_t x_sw,
- const word y[], size_t y_size, size_t y_sw,
- const word p[], size_t p_size, word p_dash,
- word workspace[]);
-
-/*
-* Montgomery Squaring
-*/
-void bigint_monty_sqr(word z[], size_t z_size,
- const word x[], size_t x_size, size_t x_sw,
- const word p[], size_t p_size, word p_dash,
- word workspace[]);
-
-/**
-* Compare x and y
-*/
-s32bit bigint_cmp(const word x[], size_t x_size,
- const word y[], size_t y_size);
-
-/**
-* Compute ((n1<<bits) + n0) / d
-*/
-word bigint_divop(word n1, word n0, word d);
-
-/**
-* Compute ((n1<<bits) + n0) % d
-*/
-word bigint_modop(word n1, word n0, word d);
-
-/*
-* Comba Multiplication / Squaring
-*/
-void bigint_comba_mul4(word z[8], const word x[4], const word y[4]);
-void bigint_comba_mul6(word z[12], const word x[6], const word y[6]);
-void bigint_comba_mul8(word z[16], const word x[8], const word y[8]);
-void bigint_comba_mul16(word z[32], const word x[16], const word y[16]);
-
-void bigint_comba_sqr4(word out[8], const word in[4]);
-void bigint_comba_sqr6(word out[12], const word in[6]);
-void bigint_comba_sqr8(word out[16], const word in[8]);
-void bigint_comba_sqr16(word out[32], const word in[16]);
-
-}
-
-/*
-* High Level Multiplication/Squaring Interfaces
-*/
-void bigint_mul(word z[], size_t z_size, word workspace[],
- const word x[], size_t x_size, size_t x_sw,
- const word y[], size_t y_size, size_t y_sw);
-
-void bigint_sqr(word z[], size_t z_size, word workspace[],
- const word x[], size_t x_size, size_t x_sw);
-
-}
-
-#endif
diff --git a/src/math/mp/mp_generic/info.txt b/src/math/mp/mp_generic/info.txt
deleted file mode 100644
index c87dd00ca..000000000
--- a/src/math/mp/mp_generic/info.txt
+++ /dev/null
@@ -1,6 +0,0 @@
-load_on dep
-
-<header:internal>
-mp_madd.h
-mp_asmi.h
-</header:internal>
diff --git a/src/math/mp/mp_generic/mp_asmi.h b/src/math/mp/mp_generic/mp_asmi.h
deleted file mode 100644
index 018055696..000000000
--- a/src/math/mp/mp_generic/mp_asmi.h
+++ /dev/null
@@ -1,207 +0,0 @@
-/*
-* Lowest Level MPI Algorithms
-* (C) 1999-2010 Jack Lloyd
-* 2006 Luca Piccarreta
-*
-* Distributed under the terms of the Botan license
-*/
-
-#ifndef BOTAN_MP_ASM_INTERNAL_H__
-#define BOTAN_MP_ASM_INTERNAL_H__
-
-#include <botan/internal/mp_madd.h>
-
-namespace Botan {
-
-extern "C" {
-
-/*
-* Word Addition
-*/
-inline word word_add(word x, word y, word* carry)
- {
- word z = x + y;
- word c1 = (z < x);
- z += *carry;
- *carry = c1 | (z < *carry);
- return z;
- }
-
-/*
-* Eight Word Block Addition, Two Argument
-*/
-inline word word8_add2(word x[8], const word y[8], word carry)
- {
- x[0] = word_add(x[0], y[0], &carry);
- x[1] = word_add(x[1], y[1], &carry);
- x[2] = word_add(x[2], y[2], &carry);
- x[3] = word_add(x[3], y[3], &carry);
- x[4] = word_add(x[4], y[4], &carry);
- x[5] = word_add(x[5], y[5], &carry);
- x[6] = word_add(x[6], y[6], &carry);
- x[7] = word_add(x[7], y[7], &carry);
- return carry;
- }
-
-/*
-* Eight Word Block Addition, Three Argument
-*/
-inline word word8_add3(word z[8], const word x[8],
- const word y[8], word carry)
- {
- z[0] = word_add(x[0], y[0], &carry);
- z[1] = word_add(x[1], y[1], &carry);
- z[2] = word_add(x[2], y[2], &carry);
- z[3] = word_add(x[3], y[3], &carry);
- z[4] = word_add(x[4], y[4], &carry);
- z[5] = word_add(x[5], y[5], &carry);
- z[6] = word_add(x[6], y[6], &carry);
- z[7] = word_add(x[7], y[7], &carry);
- return carry;
- }
-
-/*
-* Word Subtraction
-*/
-inline word word_sub(word x, word y, word* carry)
- {
- word t0 = x - y;
- word c1 = (t0 > x);
- word z = t0 - *carry;
- *carry = c1 | (z > t0);
- return z;
- }
-
-/*
-* Eight Word Block Subtraction, Two Argument
-*/
-inline word word8_sub2(word x[8], const word y[8], word carry)
- {
- x[0] = word_sub(x[0], y[0], &carry);
- x[1] = word_sub(x[1], y[1], &carry);
- x[2] = word_sub(x[2], y[2], &carry);
- x[3] = word_sub(x[3], y[3], &carry);
- x[4] = word_sub(x[4], y[4], &carry);
- x[5] = word_sub(x[5], y[5], &carry);
- x[6] = word_sub(x[6], y[6], &carry);
- x[7] = word_sub(x[7], y[7], &carry);
- return carry;
- }
-
-/*
-* Eight Word Block Subtraction, Two Argument
-*/
-inline word word8_sub2_rev(word x[8], const word y[8], word carry)
- {
- x[0] = word_sub(y[0], x[0], &carry);
- x[1] = word_sub(y[1], x[1], &carry);
- x[2] = word_sub(y[2], x[2], &carry);
- x[3] = word_sub(y[3], x[3], &carry);
- x[4] = word_sub(y[4], x[4], &carry);
- x[5] = word_sub(y[5], x[5], &carry);
- x[6] = word_sub(y[6], x[6], &carry);
- x[7] = word_sub(y[7], x[7], &carry);
- return carry;
- }
-
-/*
-* Eight Word Block Subtraction, Three Argument
-*/
-inline word word8_sub3(word z[8], const word x[8],
- const word y[8], word carry)
- {
- z[0] = word_sub(x[0], y[0], &carry);
- z[1] = word_sub(x[1], y[1], &carry);
- z[2] = word_sub(x[2], y[2], &carry);
- z[3] = word_sub(x[3], y[3], &carry);
- z[4] = word_sub(x[4], y[4], &carry);
- z[5] = word_sub(x[5], y[5], &carry);
- z[6] = word_sub(x[6], y[6], &carry);
- z[7] = word_sub(x[7], y[7], &carry);
- return carry;
- }
-
-/*
-* Eight Word Block Linear Multiplication
-*/
-inline word word8_linmul2(word x[8], word y, word carry)
- {
- x[0] = word_madd2(x[0], y, &carry);
- x[1] = word_madd2(x[1], y, &carry);
- x[2] = word_madd2(x[2], y, &carry);
- x[3] = word_madd2(x[3], y, &carry);
- x[4] = word_madd2(x[4], y, &carry);
- x[5] = word_madd2(x[5], y, &carry);
- x[6] = word_madd2(x[6], y, &carry);
- x[7] = word_madd2(x[7], y, &carry);
- return carry;
- }
-
-/*
-* Eight Word Block Linear Multiplication
-*/
-inline word word8_linmul3(word z[8], const word x[8], word y, word carry)
- {
- z[0] = word_madd2(x[0], y, &carry);
- z[1] = word_madd2(x[1], y, &carry);
- z[2] = word_madd2(x[2], y, &carry);
- z[3] = word_madd2(x[3], y, &carry);
- z[4] = word_madd2(x[4], y, &carry);
- z[5] = word_madd2(x[5], y, &carry);
- z[6] = word_madd2(x[6], y, &carry);
- z[7] = word_madd2(x[7], y, &carry);
- return carry;
- }
-
-/*
-* Eight Word Block Multiply/Add
-*/
-inline word word8_madd3(word z[8], const word x[8], word y, word carry)
- {
- z[0] = word_madd3(x[0], y, z[0], &carry);
- z[1] = word_madd3(x[1], y, z[1], &carry);
- z[2] = word_madd3(x[2], y, z[2], &carry);
- z[3] = word_madd3(x[3], y, z[3], &carry);
- z[4] = word_madd3(x[4], y, z[4], &carry);
- z[5] = word_madd3(x[5], y, z[5], &carry);
- z[6] = word_madd3(x[6], y, z[6], &carry);
- z[7] = word_madd3(x[7], y, z[7], &carry);
- return carry;
- }
-
-/*
-* Multiply-Add Accumulator
-*/
-inline void word3_muladd(word* w2, word* w1, word* w0, word a, word b)
- {
- word carry = *w0;
- *w0 = word_madd2(a, b, &carry);
- *w1 += carry;
- *w2 += (*w1 < carry) ? 1 : 0;
- }
-
-/*
-* Multiply-Add Accumulator
-*/
-inline void word3_muladd_2(word* w2, word* w1, word* w0, word a, word b)
- {
- word carry = 0;
- a = word_madd2(a, b, &carry);
- b = carry;
-
- word top = (b >> (BOTAN_MP_WORD_BITS-1));
- b <<= 1;
- b |= (a >> (BOTAN_MP_WORD_BITS-1));
- a <<= 1;
-
- carry = 0;
- *w0 = word_add(*w0, a, &carry);
- *w1 = word_add(*w1, b, &carry);
- *w2 = word_add(*w2, top, &carry);
- }
-
-}
-
-}
-
-#endif
diff --git a/src/math/mp/mp_generic/mp_madd.h b/src/math/mp/mp_generic/mp_madd.h
deleted file mode 100644
index 17713f55f..000000000
--- a/src/math/mp/mp_generic/mp_madd.h
+++ /dev/null
@@ -1,73 +0,0 @@
-/*
-* Lowest Level MPI Algorithms
-* (C) 1999-2008,2013 Jack Lloyd
-* 2006 Luca Piccarreta
-*
-* Distributed under the terms of the Botan license
-*/
-
-#ifndef BOTAN_MP_WORD_MULADD_H__
-#define BOTAN_MP_WORD_MULADD_H__
-
-#include <botan/mp_types.h>
-
-namespace Botan {
-
-extern "C" {
-
-/*
-* Word Multiply/Add
-*/
-inline word word_madd2(word a, word b, word* c)
- {
-#if defined(BOTAN_HAS_MP_DWORD)
- const dword s = static_cast<dword>(a) * b + *c;
- *c = static_cast<word>(s >> BOTAN_MP_WORD_BITS);
- return static_cast<word>(s);
-#else
- static_assert(BOTAN_MP_WORD_BITS == 64, "Unexpected word size");
-
- word hi = 0, lo = 0;
-
- mul64x64_128(a, b, &lo, &hi);
-
- lo += *c;
- hi += (lo < *c); // carry?
-
- *c = hi;
- return lo;
-#endif
- }
-
-/*
-* Word Multiply/Add
-*/
-inline word word_madd3(word a, word b, word c, word* d)
- {
-#if defined(BOTAN_HAS_MP_DWORD)
- const dword s = static_cast<dword>(a) * b + c + *d;
- *d = static_cast<word>(s >> BOTAN_MP_WORD_BITS);
- return static_cast<word>(s);
-#else
- static_assert(BOTAN_MP_WORD_BITS == 64, "Unexpected word size");
-
- word hi = 0, lo = 0;
-
- mul64x64_128(a, b, &lo, &hi);
-
- lo += c;
- hi += (lo < c); // carry?
-
- lo += *d;
- hi += (lo < *d); // carry?
-
- *d = hi;
- return lo;
-#endif
- }
-
-}
-
-}
-
-#endif
diff --git a/src/math/mp/mp_karat.cpp b/src/math/mp/mp_karat.cpp
deleted file mode 100644
index b549a05c8..000000000
--- a/src/math/mp/mp_karat.cpp
+++ /dev/null
@@ -1,303 +0,0 @@
-/*
-* Karatsuba Multiplication/Squaring
-* (C) 1999-2010 Jack Lloyd
-*
-* Distributed under the terms of the Botan license
-*/
-
-#include <botan/internal/mp_core.h>
-#include <botan/internal/mp_asmi.h>
-#include <botan/mem_ops.h>
-
-namespace Botan {
-
-namespace {
-
-static const size_t KARATSUBA_MULTIPLY_THRESHOLD = 32;
-static const size_t KARATSUBA_SQUARE_THRESHOLD = 32;
-
-/*
-* Karatsuba Multiplication Operation
-*/
-void karatsuba_mul(word z[], const word x[], const word y[], size_t N,
- word workspace[])
- {
- if(N < KARATSUBA_MULTIPLY_THRESHOLD || N % 2)
- {
- if(N == 6)
- return bigint_comba_mul6(z, x, y);
- else if(N == 8)
- return bigint_comba_mul8(z, x, y);
- else if(N == 16)
- return bigint_comba_mul16(z, x, y);
- else
- return bigint_simple_mul(z, x, N, y, N);
- }
-
- const size_t N2 = N / 2;
-
- const word* x0 = x;
- const word* x1 = x + N2;
- const word* y0 = y;
- const word* y1 = y + N2;
- word* z0 = z;
- word* z1 = z + N;
-
- const s32bit cmp0 = bigint_cmp(x0, N2, x1, N2);
- const s32bit cmp1 = bigint_cmp(y1, N2, y0, N2);
-
- clear_mem(workspace, 2*N);
-
- //if(cmp0 && cmp1)
- {
- if(cmp0 > 0)
- bigint_sub3(z0, x0, N2, x1, N2);
- else
- bigint_sub3(z0, x1, N2, x0, N2);
-
- if(cmp1 > 0)
- bigint_sub3(z1, y1, N2, y0, N2);
- else
- bigint_sub3(z1, y0, N2, y1, N2);
-
- karatsuba_mul(workspace, z0, z1, N2, workspace+N);
- }
-
- karatsuba_mul(z0, x0, y0, N2, workspace+N);
- karatsuba_mul(z1, x1, y1, N2, workspace+N);
-
- const word ws_carry = bigint_add3_nc(workspace + N, z0, N, z1, N);
- word z_carry = bigint_add2_nc(z + N2, N, workspace + N, N);
-
- z_carry += bigint_add2_nc(z + N + N2, N2, &ws_carry, 1);
- bigint_add2_nc(z + N + N2, N2, &z_carry, 1);
-
- if((cmp0 == cmp1) || (cmp0 == 0) || (cmp1 == 0))
- bigint_add2(z + N2, 2*N-N2, workspace, N);
- else
- bigint_sub2(z + N2, 2*N-N2, workspace, N);
- }
-
-/*
-* Karatsuba Squaring Operation
-*/
-void karatsuba_sqr(word z[], const word x[], size_t N, word workspace[])
- {
- if(N < KARATSUBA_SQUARE_THRESHOLD || N % 2)
- {
- if(N == 6)
- return bigint_comba_sqr6(z, x);
- else if(N == 8)
- return bigint_comba_sqr8(z, x);
- else if(N == 16)
- return bigint_comba_sqr16(z, x);
- else
- return bigint_simple_sqr(z, x, N);
- }
-
- const size_t 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);
-
- const word ws_carry = bigint_add3_nc(workspace + N, z0, N, z1, N);
- word z_carry = bigint_add2_nc(z + N2, N, workspace + N, N);
-
- z_carry += bigint_add2_nc(z + N + N2, N2, &ws_carry, 1);
- bigint_add2_nc(z + N + N2, N2, &z_carry, 1);
-
- /*
- * This is only actually required if cmp is != 0, however
- * if cmp==0 then workspace[0:N] == 0 and avoiding the jump
- * hides a timing channel.
- */
- bigint_sub2(z + N2, 2*N-N2, workspace, N);
- }
-
-/*
-* Pick a good size for the Karatsuba multiply
-*/
-size_t karatsuba_size(size_t z_size,
- size_t x_size, size_t x_sw,
- size_t y_size, size_t y_sw)
- {
- if(x_sw > x_size || x_sw > y_size || y_sw > x_size || y_sw > y_size)
- return 0;
-
- if(((x_size == x_sw) && (x_size % 2)) ||
- ((y_size == y_sw) && (y_size % 2)))
- return 0;
-
- const size_t start = (x_sw > y_sw) ? x_sw : y_sw;
- const size_t end = (x_size < y_size) ? x_size : y_size;
-
- if(start == end)
- {
- if(start % 2)
- return 0;
- return start;
- }
-
- for(size_t j = start; j <= end; ++j)
- {
- if(j % 2)
- continue;
-
- if(2*j > z_size)
- return 0;
-
- if(x_sw <= j && j <= x_size && y_sw <= j && j <= y_size)
- {
- if(j % 4 == 2 &&
- (j+2) <= x_size && (j+2) <= y_size && 2*(j+2) <= z_size)
- return j+2;
- return j;
- }
- }
-
- return 0;
- }
-
-/*
-* Pick a good size for the Karatsuba squaring
-*/
-size_t karatsuba_size(size_t z_size, size_t x_size, size_t x_sw)
- {
- if(x_sw == x_size)
- {
- if(x_sw % 2)
- return 0;
- return x_sw;
- }
-
- for(size_t 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;
- }
-
-}
-
-/*
-* Multiplication Algorithm Dispatcher
-*/
-void bigint_mul(word z[], size_t z_size, word workspace[],
- const word x[], size_t x_size, size_t x_sw,
- const word y[], size_t y_size, size_t y_sw)
- {
- if(x_sw == 1)
- {
- bigint_linmul3(z, y, y_sw, x[0]);
- }
- else if(y_sw == 1)
- {
- bigint_linmul3(z, x, x_sw, y[0]);
- }
- else if(x_sw <= 4 && x_size >= 4 &&
- y_sw <= 4 && y_size >= 4 && z_size >= 8)
- {
- bigint_comba_mul4(z, x, y);
- }
- else if(x_sw <= 6 && x_size >= 6 &&
- y_sw <= 6 && y_size >= 6 && z_size >= 12)
- {
- bigint_comba_mul6(z, x, y);
- }
- else if(x_sw <= 8 && x_size >= 8 &&
- y_sw <= 8 && y_size >= 8 && z_size >= 16)
- {
- bigint_comba_mul8(z, x, y);
- }
- else if(x_sw <= 16 && x_size >= 16 &&
- y_sw <= 16 && y_size >= 16 && z_size >= 32)
- {
- bigint_comba_mul16(z, x, y);
- }
- else if(x_sw < KARATSUBA_MULTIPLY_THRESHOLD ||
- y_sw < KARATSUBA_MULTIPLY_THRESHOLD ||
- !workspace)
- {
- bigint_simple_mul(z, x, x_sw, y, y_sw);
- }
- else
- {
- const size_t N = karatsuba_size(z_size, x_size, x_sw, y_size, y_sw);
-
- if(N)
- karatsuba_mul(z, x, y, N, workspace);
- else
- bigint_simple_mul(z, x, x_sw, y, y_sw);
- }
- }
-
-/*
-* Squaring Algorithm Dispatcher
-*/
-void bigint_sqr(word z[], size_t z_size, word workspace[],
- const word x[], size_t x_size, size_t 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 if(x_sw <= 16 && x_size >= 16 && z_size >= 32)
- {
- bigint_comba_sqr16(z, x);
- }
- else if(x_size < KARATSUBA_SQUARE_THRESHOLD || !workspace)
- {
- bigint_simple_sqr(z, x, x_sw);
- }
- else
- {
- const size_t N = karatsuba_size(z_size, x_size, x_sw);
-
- if(N)
- karatsuba_sqr(z, x, N, workspace);
- else
- bigint_simple_sqr(z, x, x_sw);
- }
- }
-
-}
diff --git a/src/math/mp/mp_misc.cpp b/src/math/mp/mp_misc.cpp
deleted file mode 100644
index 0efd5fd19..000000000
--- a/src/math/mp/mp_misc.cpp
+++ /dev/null
@@ -1,79 +0,0 @@
-/*
-* MP Misc Functions
-* (C) 1999-2008 Jack Lloyd
-*
-* Distributed under the terms of the Botan license
-*/
-
-#include <botan/internal/mp_core.h>
-#include <botan/internal/mp_madd.h>
-
-namespace Botan {
-
-extern "C" {
-
-/*
-* Compare two MP integers
-*/
-s32bit bigint_cmp(const word x[], size_t x_size,
- const word y[], size_t 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(size_t i = x_size; i > 0; --i)
- {
- if(x[i-1] > y[i-1])
- return 1;
- if(x[i-1] < y[i-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, quotient = 0;
-
- for(size_t i = 0; i != MP_WORD_BITS; ++i)
- {
- word high_top_bit = (high & MP_WORD_TOP_BIT);
-
- high <<= 1;
- high |= (n0 >> (MP_WORD_BITS-1-i)) & 1;
- quotient <<= 1;
-
- if(high_top_bit || high >= d)
- {
- high -= d;
- quotient |= 1;
- }
- }
-
- 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);
- return (n0-z);
- }
-
-}
-
-}
diff --git a/src/math/mp/mp_monty.cpp b/src/math/mp/mp_monty.cpp
deleted file mode 100644
index 095457dbe..000000000
--- a/src/math/mp/mp_monty.cpp
+++ /dev/null
@@ -1,101 +0,0 @@
-/*
-* Montgomery Reduction
-* (C) 1999-2011 Jack Lloyd
-* 2006 Luca Piccarreta
-*
-* Distributed under the terms of the Botan license
-*/
-
-#include <botan/internal/mp_core.h>
-#include <botan/internal/mp_madd.h>
-#include <botan/internal/mp_asmi.h>
-#include <botan/mem_ops.h>
-
-namespace Botan {
-
-extern "C" {
-
-/*
-* Montgomery Reduction Algorithm
-*/
-void bigint_monty_redc(word z[],
- const word p[], size_t p_size,
- word p_dash, word ws[])
- {
- const size_t z_size = 2*(p_size+1);
-
- const size_t blocks_of_8 = p_size - (p_size % 8);
-
- for(size_t i = 0; i != p_size; ++i)
- {
- word* z_i = z + i;
-
- const word y = z_i[0] * p_dash;
-
- /*
- bigint_linmul3(ws, p, p_size, y);
- bigint_add2(z_i, z_size - i, ws, p_size+1);
- */
-
- word carry = 0;
-
- for(size_t j = 0; j != blocks_of_8; j += 8)
- carry = word8_madd3(z_i + j, p + j, y, carry);
-
- for(size_t j = blocks_of_8; j != p_size; ++j)
- z_i[j] = word_madd3(p[j], y, z_i[j], &carry);
-
- word z_sum = z_i[p_size] + carry;
- carry = (z_sum < z_i[p_size]);
- z_i[p_size] = z_sum;
-
- for(size_t j = p_size + 1; carry && j != z_size - i; ++j)
- {
- ++z_i[j];
- carry = !z_i[j];
- }
- }
-
- word borrow = 0;
- for(size_t i = 0; i != p_size; ++i)
- ws[i] = word_sub(z[p_size + i], p[i], &borrow);
-
- ws[p_size] = word_sub(z[p_size+p_size], 0, &borrow);
-
- copy_mem(ws + p_size + 1, z + p_size, p_size + 1);
-
- copy_mem(z, ws + borrow*(p_size+1), p_size + 1);
- clear_mem(z + p_size + 1, z_size - p_size - 1);
- }
-
-void bigint_monty_mul(word z[], size_t z_size,
- const word x[], size_t x_size, size_t x_sw,
- const word y[], size_t y_size, size_t y_sw,
- const word p[], size_t p_size, word p_dash,
- word ws[])
- {
- bigint_mul(&z[0], z_size, &ws[0],
- &x[0], x_size, x_sw,
- &y[0], y_size, y_sw);
-
- bigint_monty_redc(&z[0],
- &p[0], p_size, p_dash,
- &ws[0]);
- }
-
-void bigint_monty_sqr(word z[], size_t z_size,
- const word x[], size_t x_size, size_t x_sw,
- const word p[], size_t p_size, word p_dash,
- word ws[])
- {
- bigint_sqr(&z[0], z_size, &ws[0],
- &x[0], x_size, x_sw);
-
- bigint_monty_redc(&z[0],
- &p[0], p_size, p_dash,
- &ws[0]);
- }
-
-}
-
-}
diff --git a/src/math/mp/mp_mulop.cpp b/src/math/mp/mp_mulop.cpp
deleted file mode 100644
index 0c79cc2ef..000000000
--- a/src/math/mp/mp_mulop.cpp
+++ /dev/null
@@ -1,77 +0,0 @@
-/*
-* Simple O(N^2) Multiplication and Squaring
-* (C) 1999-2008 Jack Lloyd
-*
-* Distributed under the terms of the Botan license
-*/
-
-#include <botan/internal/mp_core.h>
-#include <botan/internal/mp_madd.h>
-#include <botan/internal/mp_asmi.h>
-#include <botan/mem_ops.h>
-
-namespace Botan {
-
-extern "C" {
-
-/*
-* Simple O(N^2) Multiplication
-*/
-void bigint_simple_mul(word z[], const word x[], size_t x_size,
- const word y[], size_t y_size)
- {
- const size_t x_size_8 = x_size - (x_size % 8);
-
- clear_mem(z, x_size + y_size);
-
- for(size_t i = 0; i != y_size; ++i)
- {
- const word y_i = y[i];
-
- word carry = 0;
-
- for(size_t j = 0; j != x_size_8; j += 8)
- carry = word8_madd3(z + i + j, x + j, y_i, carry);
-
- for(size_t j = x_size_8; j != x_size; ++j)
- z[i+j] = word_madd3(x[j], y_i, z[i+j], &carry);
-
- z[x_size+i] = carry;
- }
- }
-
-/*
-* Simple O(N^2) Squaring
-*
-* This is exactly the same algorithm as bigint_simple_mul, however
-* because C/C++ compilers suck at alias analysis it is good to have
-* the version where the compiler knows that x == y
-*
-* There is an O(n^1.5) squaring algorithm specified in Handbook of
-* Applied Cryptography, chapter 14
-*
-*/
-void bigint_simple_sqr(word z[], const word x[], size_t x_size)
- {
- const size_t x_size_8 = x_size - (x_size % 8);
-
- clear_mem(z, 2*x_size);
-
- for(size_t i = 0; i != x_size; ++i)
- {
- const word x_i = x[i];
- word carry = 0;
-
- for(size_t j = 0; j != x_size_8; j += 8)
- carry = word8_madd3(z + i + j, x + j, x_i, carry);
-
- for(size_t j = x_size_8; j != x_size; ++j)
- z[i+j] = word_madd3(x[j], x_i, z[i+j], &carry);
-
- z[x_size+i] = carry;
- }
- }
-
-}
-
-}
diff --git a/src/math/mp/mp_shift.cpp b/src/math/mp/mp_shift.cpp
deleted file mode 100644
index 0531658ec..000000000
--- a/src/math/mp/mp_shift.cpp
+++ /dev/null
@@ -1,138 +0,0 @@
-/*
-* MP Shift Algorithms
-* (C) 1999-2007 Jack Lloyd
-*
-* Distributed under the terms of the Botan license
-*/
-
-#include <botan/internal/mp_core.h>
-#include <botan/mem_ops.h>
-
-namespace Botan {
-
-extern "C" {
-
-/*
-* Single Operand Left Shift
-*/
-void bigint_shl1(word x[], size_t x_size, size_t word_shift, size_t bit_shift)
- {
- if(word_shift)
- {
- for(size_t j = 1; j != x_size + 1; ++j)
- x[(x_size - j) + word_shift] = x[x_size - j];
- clear_mem(x, word_shift);
- }
-
- if(bit_shift)
- {
- word carry = 0;
- for(size_t j = word_shift; j != x_size + word_shift + 1; ++j)
- {
- word temp = x[j];
- x[j] = (temp << bit_shift) | carry;
- carry = (temp >> (MP_WORD_BITS - bit_shift));
- }
- }
- }
-
-/*
-* Single Operand Right Shift
-*/
-void bigint_shr1(word x[], size_t x_size, size_t word_shift, size_t bit_shift)
- {
- if(x_size < word_shift)
- {
- clear_mem(x, x_size);
- return;
- }
-
- if(word_shift)
- {
- copy_mem(x, x + word_shift, x_size - word_shift);
- clear_mem(x + x_size - word_shift, word_shift);
- }
-
- if(bit_shift)
- {
- word carry = 0;
-
- size_t top = x_size - word_shift;
-
- while(top >= 4)
- {
- word w = x[top-1];
- x[top-1] = (w >> bit_shift) | carry;
- carry = (w << (MP_WORD_BITS - bit_shift));
-
- w = x[top-2];
- x[top-2] = (w >> bit_shift) | carry;
- carry = (w << (MP_WORD_BITS - bit_shift));
-
- w = x[top-3];
- x[top-3] = (w >> bit_shift) | carry;
- carry = (w << (MP_WORD_BITS - bit_shift));
-
- w = x[top-4];
- x[top-4] = (w >> bit_shift) | carry;
- carry = (w << (MP_WORD_BITS - bit_shift));
-
- top -= 4;
- }
-
- while(top)
- {
- word w = x[top-1];
- x[top-1] = (w >> bit_shift) | carry;
- carry = (w << (MP_WORD_BITS - bit_shift));
-
- top--;
- }
- }
- }
-
-/*
-* Two Operand Left Shift
-*/
-void bigint_shl2(word y[], const word x[], size_t x_size,
- size_t word_shift, size_t bit_shift)
- {
- for(size_t j = 0; j != x_size; ++j)
- y[j + word_shift] = x[j];
- if(bit_shift)
- {
- word carry = 0;
- for(size_t j = word_shift; j != x_size + word_shift + 1; ++j)
- {
- word w = y[j];
- y[j] = (w << bit_shift) | carry;
- carry = (w >> (MP_WORD_BITS - bit_shift));
- }
- }
- }
-
-/*
-* Two Operand Right Shift
-*/
-void bigint_shr2(word y[], const word x[], size_t x_size,
- size_t word_shift, size_t bit_shift)
- {
- if(x_size < word_shift) return;
-
- for(size_t j = 0; j != x_size - word_shift; ++j)
- y[j] = x[j + word_shift];
- if(bit_shift)
- {
- word carry = 0;
- for(size_t j = x_size - word_shift; j > 0; --j)
- {
- word w = y[j-1];
- y[j-1] = (w >> bit_shift) | carry;
- carry = (w << (MP_WORD_BITS - bit_shift));
- }
- }
- }
-
-}
-
-}
diff --git a/src/math/mp/mp_types.h b/src/math/mp/mp_types.h
deleted file mode 100644
index 60282fb83..000000000
--- a/src/math/mp/mp_types.h
+++ /dev/null
@@ -1,46 +0,0 @@
-/*
-* Low Level MPI Types
-* (C) 1999-2007 Jack Lloyd
-*
-* Distributed under the terms of the Botan license
-*/
-
-#ifndef BOTAN_MPI_TYPES_H__
-#define BOTAN_MPI_TYPES_H__
-
-#include <botan/types.h>
-#include <botan/mul128.h>
-
-namespace Botan {
-
-#if (BOTAN_MP_WORD_BITS == 8)
- typedef byte word;
- typedef u16bit dword;
- #define BOTAN_HAS_MP_DWORD
-#elif (BOTAN_MP_WORD_BITS == 16)
- typedef u16bit word;
- typedef u32bit dword;
- #define BOTAN_HAS_MP_DWORD
-#elif (BOTAN_MP_WORD_BITS == 32)
- typedef u32bit word;
- typedef u64bit dword;
- #define BOTAN_HAS_MP_DWORD
-#elif (BOTAN_MP_WORD_BITS == 64)
- typedef u64bit word;
-
- #if defined(BOTAN_TARGET_HAS_NATIVE_UINT128)
- typedef uint128_t dword;
- #define BOTAN_HAS_MP_DWORD
- #endif
-
-#else
- #error BOTAN_MP_WORD_BITS must be 8, 16, 32, or 64
-#endif
-
-const word MP_WORD_MASK = ~static_cast<word>(0);
-const word MP_WORD_TOP_BIT = static_cast<word>(1) << (8*sizeof(word) - 1);
-const word MP_WORD_MAX = MP_WORD_MASK;
-
-}
-
-#endif
diff --git a/src/math/mp/mp_x86_32/info.txt b/src/math/mp/mp_x86_32/info.txt
deleted file mode 100644
index f36abaf62..000000000
--- a/src/math/mp/mp_x86_32/info.txt
+++ /dev/null
@@ -1,18 +0,0 @@
-load_on dep
-
-mp_bits 32
-
-<header:internal>
-mp_madd.h
-mp_asmi.h
-</header:internal>
-
-<arch>
-x86_32
-</arch>
-
-<cc>
-clang
-gcc
-icc
-</cc>
diff --git a/src/math/mp/mp_x86_32/mp_asmi.h b/src/math/mp/mp_x86_32/mp_asmi.h
deleted file mode 100644
index 9b858c8d5..000000000
--- a/src/math/mp/mp_x86_32/mp_asmi.h
+++ /dev/null
@@ -1,240 +0,0 @@
-/*
-* Lowest Level MPI Algorithms
-* (C) 1999-2010 Jack Lloyd
-* 2006 Luca Piccarreta
-*
-* Distributed under the terms of the Botan license
-*/
-
-#ifndef BOTAN_MP_ASM_INTERNAL_H__
-#define BOTAN_MP_ASM_INTERNAL_H__
-
-#include <botan/internal/mp_madd.h>
-
-namespace Botan {
-
-extern "C" {
-
-/*
-* Helper Macros for x86 Assembly
-*/
-#ifndef ASM
- #define ASM(x) x "\n\t"
-#endif
-
-#define ADDSUB2_OP(OPERATION, INDEX) \
- ASM("movl 4*" #INDEX "(%[y]), %[carry]") \
- ASM(OPERATION " %[carry], 4*" #INDEX "(%[x])") \
-
-#define ADDSUB3_OP(OPERATION, INDEX) \
- ASM("movl 4*" #INDEX "(%[x]), %[carry]") \
- ASM(OPERATION " 4*" #INDEX "(%[y]), %[carry]") \
- ASM("movl %[carry], 4*" #INDEX "(%[z])") \
-
-#define LINMUL_OP(WRITE_TO, INDEX) \
- ASM("movl 4*" #INDEX "(%[x]),%%eax") \
- ASM("mull %[y]") \
- ASM("addl %[carry],%%eax") \
- ASM("adcl $0,%%edx") \
- ASM("movl %%edx,%[carry]") \
- ASM("movl %%eax, 4*" #INDEX "(%[" WRITE_TO "])")
-
-#define MULADD_OP(IGNORED, INDEX) \
- ASM("movl 4*" #INDEX "(%[x]),%%eax") \
- ASM("mull %[y]") \
- ASM("addl %[carry],%%eax") \
- ASM("adcl $0,%%edx") \
- ASM("addl 4*" #INDEX "(%[z]),%%eax") \
- ASM("adcl $0,%%edx") \
- ASM("movl %%edx,%[carry]") \
- ASM("movl %%eax, 4*" #INDEX " (%[z])")
-
-#define DO_8_TIMES(MACRO, ARG) \
- MACRO(ARG, 0) \
- MACRO(ARG, 1) \
- MACRO(ARG, 2) \
- MACRO(ARG, 3) \
- MACRO(ARG, 4) \
- MACRO(ARG, 5) \
- MACRO(ARG, 6) \
- MACRO(ARG, 7)
-
-#define ADD_OR_SUBTRACT(CORE_CODE) \
- ASM("rorl %[carry]") \
- CORE_CODE \
- ASM("sbbl %[carry],%[carry]") \
- ASM("negl %[carry]")
-
-/*
-* Word Addition
-*/
-inline word word_add(word x, word y, word* carry)
- {
- asm(
- ADD_OR_SUBTRACT(ASM("adcl %[y],%[x]"))
- : [x]"=r"(x), [carry]"=r"(*carry)
- : "0"(x), [y]"rm"(y), "1"(*carry)
- : "cc");
- return x;
- }
-
-/*
-* Eight Word Block Addition, Two Argument
-*/
-inline word word8_add2(word x[8], const word y[8], word carry)
- {
- asm(
- ADD_OR_SUBTRACT(DO_8_TIMES(ADDSUB2_OP, "adcl"))
- : [carry]"=r"(carry)
- : [x]"r"(x), [y]"r"(y), "0"(carry)
- : "cc", "memory");
- return carry;
- }
-
-/*
-* Eight Word Block Addition, Three Argument
-*/
-inline word word8_add3(word z[8], const word x[8], const word y[8], word carry)
- {
- asm(
- ADD_OR_SUBTRACT(DO_8_TIMES(ADDSUB3_OP, "adcl"))
- : [carry]"=r"(carry)
- : [x]"r"(x), [y]"r"(y), [z]"r"(z), "0"(carry)
- : "cc", "memory");
- return carry;
- }
-
-/*
-* Word Subtraction
-*/
-inline word word_sub(word x, word y, word* carry)
- {
- asm(
- ADD_OR_SUBTRACT(ASM("sbbl %[y],%[x]"))
- : [x]"=r"(x), [carry]"=r"(*carry)
- : "0"(x), [y]"rm"(y), "1"(*carry)
- : "cc");
- return x;
- }
-
-/*
-* Eight Word Block Subtraction, Two Argument
-*/
-inline word word8_sub2(word x[8], const word y[8], word carry)
- {
- asm(
- ADD_OR_SUBTRACT(DO_8_TIMES(ADDSUB2_OP, "sbbl"))
- : [carry]"=r"(carry)
- : [x]"r"(x), [y]"r"(y), "0"(carry)
- : "cc", "memory");
- return carry;
- }
-
-/*
-* Eight Word Block Subtraction, Two Argument
-*/
-inline word word8_sub2_rev(word x[8], const word y[8], word carry)
- {
- asm(
- ADD_OR_SUBTRACT(DO_8_TIMES(ADDSUB3_OP, "sbbl"))
- : [carry]"=r"(carry)
- : [x]"r"(y), [y]"r"(x), [z]"r"(x), "0"(carry)
- : "cc", "memory");
- return carry;
- }
-
-/*
-* Eight Word Block Subtraction, Three Argument
-*/
-inline word word8_sub3(word z[8], const word x[8], const word y[8], word carry)
- {
- asm(
- ADD_OR_SUBTRACT(DO_8_TIMES(ADDSUB3_OP, "sbbl"))
- : [carry]"=r"(carry)
- : [x]"r"(x), [y]"r"(y), [z]"r"(z), "0"(carry)
- : "cc", "memory");
- return carry;
- }
-
-/*
-* Eight Word Block Linear Multiplication
-*/
-inline word word8_linmul2(word x[8], word y, word carry)
- {
- asm(
- DO_8_TIMES(LINMUL_OP, "x")
- : [carry]"=r"(carry)
- : [x]"r"(x), [y]"rm"(y), "0"(carry)
- : "cc", "%eax", "%edx");
- return carry;
- }
-
-/*
-* Eight Word Block Linear Multiplication
-*/
-inline word word8_linmul3(word z[8], const word x[8], word y, word carry)
- {
- asm(
- DO_8_TIMES(LINMUL_OP, "z")
- : [carry]"=r"(carry)
- : [z]"r"(z), [x]"r"(x), [y]"rm"(y), "0"(carry)
- : "cc", "%eax", "%edx");
- return carry;
- }
-
-/*
-* Eight Word Block Multiply/Add
-*/
-inline word word8_madd3(word z[8], const word x[8], word y, word carry)
- {
- asm(
- DO_8_TIMES(MULADD_OP, "")
- : [carry]"=r"(carry)
- : [z]"r"(z), [x]"r"(x), [y]"rm"(y), "0"(carry)
- : "cc", "%eax", "%edx");
- return carry;
- }
-
-/*
-* Multiply-Add Accumulator
-*/
-inline void word3_muladd(word* w2, word* w1, word* w0, word x, word y)
- {
- asm(
- ASM("mull %[y]")
-
- ASM("addl %[x],%[w0]")
- ASM("adcl %[y],%[w1]")
- ASM("adcl $0,%[w2]")
-
- : [w0]"=r"(*w0), [w1]"=r"(*w1), [w2]"=r"(*w2)
- : [x]"a"(x), [y]"d"(y), "0"(*w0), "1"(*w1), "2"(*w2)
- : "cc");
- }
-
-/*
-* Multiply-Add Accumulator
-*/
-inline void word3_muladd_2(word* w2, word* w1, word* w0, word x, word y)
- {
- asm(
- ASM("mull %[y]")
-
- ASM("addl %[x],%[w0]")
- ASM("adcl %[y],%[w1]")
- ASM("adcl $0,%[w2]")
-
- ASM("addl %[x],%[w0]")
- ASM("adcl %[y],%[w1]")
- ASM("adcl $0,%[w2]")
-
- : [w0]"=r"(*w0), [w1]"=r"(*w1), [w2]"=r"(*w2)
- : [x]"a"(x), [y]"d"(y), "0"(*w0), "1"(*w1), "2"(*w2)
- : "cc");
- }
-
-}
-
-}
-
-#endif
diff --git a/src/math/mp/mp_x86_32/mp_madd.h b/src/math/mp/mp_x86_32/mp_madd.h
deleted file mode 100644
index 9d60c721d..000000000
--- a/src/math/mp/mp_x86_32/mp_madd.h
+++ /dev/null
@@ -1,67 +0,0 @@
-/*
-* Lowest Level MPI Algorithms
-* (C) 1999-2008 Jack Lloyd
-* 2006 Luca Piccarreta
-*
-* Distributed under the terms of the Botan license
-*/
-
-#ifndef BOTAN_MP_WORD_MULADD_H__
-#define BOTAN_MP_WORD_MULADD_H__
-
-#include <botan/mp_types.h>
-
-#if (BOTAN_MP_WORD_BITS != 32)
- #error The mp_x86_32 module requires that BOTAN_MP_WORD_BITS == 32
-#endif
-
-namespace Botan {
-
-extern "C" {
-
-/*
-* Helper Macros for x86 Assembly
-*/
-#define ASM(x) x "\n\t"
-
-/*
-* Word Multiply
-*/
-inline word word_madd2(word a, word b, word* c)
- {
- asm(
- ASM("mull %[b]")
- ASM("addl %[c],%[a]")
- ASM("adcl $0,%[carry]")
-
- : [a]"=a"(a), [b]"=rm"(b), [carry]"=&d"(*c)
- : "0"(a), "1"(b), [c]"g"(*c) : "cc");
-
- return a;
- }
-
-/*
-* Word Multiply/Add
-*/
-inline word word_madd3(word a, word b, word c, word* d)
- {
- asm(
- ASM("mull %[b]")
-
- ASM("addl %[c],%[a]")
- ASM("adcl $0,%[carry]")
-
- ASM("addl %[d],%[a]")
- ASM("adcl $0,%[carry]")
-
- : [a]"=a"(a), [b]"=rm"(b), [carry]"=&d"(*d)
- : "0"(a), "1"(b), [c]"g"(c), [d]"g"(*d) : "cc");
-
- return a;
- }
-
-}
-
-}
-
-#endif
diff --git a/src/math/mp/mp_x86_32_msvc/info.txt b/src/math/mp/mp_x86_32_msvc/info.txt
deleted file mode 100644
index 3029d6a61..000000000
--- a/src/math/mp/mp_x86_32_msvc/info.txt
+++ /dev/null
@@ -1,16 +0,0 @@
-mp_bits 32
-
-load_on dep
-
-<header:internal>
-mp_generic:mp_madd.h
-mp_asmi.h
-</header:internal>
-
-<arch>
-x86_32
-</arch>
-
-<cc>
-msvc
-</cc>
diff --git a/src/math/mp/mp_x86_32_msvc/mp_asmi.h b/src/math/mp/mp_x86_32_msvc/mp_asmi.h
deleted file mode 100644
index ef149c920..000000000
--- a/src/math/mp/mp_x86_32_msvc/mp_asmi.h
+++ /dev/null
@@ -1,542 +0,0 @@
-/*
-* Lowest Level MPI Algorithms
-* (C) 1999-2010 Jack Lloyd
-* 2006 Luca Piccarreta
-*
-* Distributed under the terms of the Botan license
-*/
-
-#ifndef BOTAN_MP_ASM_INTERNAL_H__
-#define BOTAN_MP_ASM_INTERNAL_H__
-
-#include <botan/internal/mp_madd.h>
-
-namespace Botan {
-
-extern "C" {
-
-/*
-* Word Addition
-*/
-inline word word_add(word x, word y, word* carry)
- {
- word z = x + y;
- word c1 = (z < x);
- z += *carry;
- *carry = c1 | (z < *carry);
- return z;
- }
-
-/*
-* Eight Word Block Addition, Two Argument
-*/
-inline word word8_add2(word x[8], const word y[8], word carry)
- {
- __asm {
- mov edx,[x]
- mov esi,[y]
- xor eax,eax
- sub eax,[carry] //force CF=1 iff *carry==1
- mov eax,[esi]
- adc [edx],eax
- mov eax,[esi+4]
- adc [edx+4],eax
- mov eax,[esi+8]
- adc [edx+8],eax
- mov eax,[esi+12]
- adc [edx+12],eax
- mov eax,[esi+16]
- adc [edx+16],eax
- mov eax,[esi+20]
- adc [edx+20],eax
- mov eax,[esi+24]
- adc [edx+24],eax
- mov eax,[esi+28]
- adc [edx+28],eax
- sbb eax,eax
- neg eax
- }
- }
-
-/*
-* Eight Word Block Addition, Three Argument
-*/
-inline word word8_add3(word z[8], const word x[8], const word y[8], word carry)
- {
- __asm {
- mov edi,[x]
- mov esi,[y]
- mov ebx,[z]
- xor eax,eax
- sub eax,[carry] //force CF=1 iff *carry==1
- mov eax,[edi]
- adc eax,[esi]
- mov [ebx],eax
-
- mov eax,[edi+4]
- adc eax,[esi+4]
- mov [ebx+4],eax
-
- mov eax,[edi+8]
- adc eax,[esi+8]
- mov [ebx+8],eax
-
- mov eax,[edi+12]
- adc eax,[esi+12]
- mov [ebx+12],eax
-
- mov eax,[edi+16]
- adc eax,[esi+16]
- mov [ebx+16],eax
-
- mov eax,[edi+20]
- adc eax,[esi+20]
- mov [ebx+20],eax
-
- mov eax,[edi+24]
- adc eax,[esi+24]
- mov [ebx+24],eax
-
- mov eax,[edi+28]
- adc eax,[esi+28]
- mov [ebx+28],eax
-
- sbb eax,eax
- neg eax
- }
- }
-
-/*
-* Word Subtraction
-*/
-inline word word_sub(word x, word y, word* carry)
- {
- word t0 = x - y;
- word c1 = (t0 > x);
- word z = t0 - *carry;
- *carry = c1 | (z > t0);
- return z;
- }
-
-/*
-* Eight Word Block Subtraction, Two Argument
-*/
-inline word word8_sub2(word x[8], const word y[8], word carry)
- {
- __asm {
- mov edi,[x]
- mov esi,[y]
- xor eax,eax
- sub eax,[carry] //force CF=1 iff *carry==1
- mov eax,[edi]
- sbb eax,[esi]
- mov [edi],eax
- mov eax,[edi+4]
- sbb eax,[esi+4]
- mov [edi+4],eax
- mov eax,[edi+8]
- sbb eax,[esi+8]
- mov [edi+8],eax
- mov eax,[edi+12]
- sbb eax,[esi+12]
- mov [edi+12],eax
- mov eax,[edi+16]
- sbb eax,[esi+16]
- mov [edi+16],eax
- mov eax,[edi+20]
- sbb eax,[esi+20]
- mov [edi+20],eax
- mov eax,[edi+24]
- sbb eax,[esi+24]
- mov [edi+24],eax
- mov eax,[edi+28]
- sbb eax,[esi+28]
- mov [edi+28],eax
- sbb eax,eax
- neg eax
- }
- }
-
-/*
-* Eight Word Block Subtraction, Two Argument
-*/
-inline word word8_sub2_rev(word x[8], const word y[8], word carry)
- {
- x[0] = word_sub(y[0], x[0], &carry);
- x[1] = word_sub(y[1], x[1], &carry);
- x[2] = word_sub(y[2], x[2], &carry);
- x[3] = word_sub(y[3], x[3], &carry);
- x[4] = word_sub(y[4], x[4], &carry);
- x[5] = word_sub(y[5], x[5], &carry);
- x[6] = word_sub(y[6], x[6], &carry);
- x[7] = word_sub(y[7], x[7], &carry);
- return carry;
- }
-
-
-/*
-* Eight Word Block Subtraction, Three Argument
-*/
-inline word word8_sub3(word z[8], const word x[8],
- const word y[8], word carry)
- {
- __asm {
- mov edi,[x]
- mov esi,[y]
- xor eax,eax
- sub eax,[carry] //force CF=1 iff *carry==1
- mov ebx,[z]
- mov eax,[edi]
- sbb eax,[esi]
- mov [ebx],eax
- mov eax,[edi+4]
- sbb eax,[esi+4]
- mov [ebx+4],eax
- mov eax,[edi+8]
- sbb eax,[esi+8]
- mov [ebx+8],eax
- mov eax,[edi+12]
- sbb eax,[esi+12]
- mov [ebx+12],eax
- mov eax,[edi+16]
- sbb eax,[esi+16]
- mov [ebx+16],eax
- mov eax,[edi+20]
- sbb eax,[esi+20]
- mov [ebx+20],eax
- mov eax,[edi+24]
- sbb eax,[esi+24]
- mov [ebx+24],eax
- mov eax,[edi+28]
- sbb eax,[esi+28]
- mov [ebx+28],eax
- sbb eax,eax
- neg eax
- }
- }
-
-/*
-* Eight Word Block Linear Multiplication
-*/
-inline word word8_linmul2(word x[8], word y, word carry)
- {
- __asm {
- mov esi,[x]
- mov eax,[esi] //load a
- mul [y] //edx(hi):eax(lo)=a*b
- add eax,[carry] //sum lo carry
- adc edx,0 //sum hi carry
- mov ecx,edx //store carry
- mov [esi],eax //load a
-
- mov eax,[esi+4] //load a
- mul [y] //edx(hi):eax(lo)=a*b
- add eax,ecx //sum lo carry
- adc edx,0 //sum hi carry
- mov ecx,edx //store carry
- mov [esi+4],eax //load a
-
- mov eax,[esi+8] //load a
- mul [y] //edx(hi):eax(lo)=a*b
- add eax,ecx //sum lo carry
- adc edx,0 //sum hi carry
- mov ecx,edx //store carry
- mov [esi+8],eax //load a
-
- mov eax,[esi+12] //load a
- mul [y] //edx(hi):eax(lo)=a*b
- add eax,ecx //sum lo carry
- adc edx,0 //sum hi carry
- mov ecx,edx //store carry
- mov [esi+12],eax //load a
-
- mov eax,[esi+16] //load a
- mul [y] //edx(hi):eax(lo)=a*b
- add eax,ecx //sum lo carry
- adc edx,0 //sum hi carry
- mov ecx,edx //store carry
- mov [esi+16],eax //load a
-
- mov eax,[esi+20] //load a
- mul [y] //edx(hi):eax(lo)=a*b
- add eax,ecx //sum lo carry
- adc edx,0 //sum hi carry
- mov ecx,edx //store carry
- mov [esi+20],eax //load a
-
- mov eax,[esi+24] //load a
- mul [y] //edx(hi):eax(lo)=a*b
- add eax,ecx //sum lo carry
- adc edx,0 //sum hi carry
- mov ecx,edx //store carry
- mov [esi+24],eax //load a
-
- mov eax,[esi+28] //load a
- mul [y] //edx(hi):eax(lo)=a*b
- add eax,ecx //sum lo carry
- adc edx,0 //sum hi carry
- mov [esi+28],eax //load a
-
- mov eax,edx //store carry
- }
- }
-
-/*
-* Eight Word Block Linear Multiplication
-*/
-inline word word8_muladd(word z[8], const word x[8],
- word y, word carry)
- {
- __asm {
- mov esi,[x]
- mov ebx,[y]
- mov edi,[z]
- mov eax,[esi] //load a
- mul ebx //edx(hi):eax(lo)=a*b
- add eax,[carry] //sum lo carry
- adc edx,0 //sum hi carry
- add eax,[edi] //sum lo z
- adc edx,0 //sum hi z
- mov ecx,edx //carry for next block = hi z
- mov [edi],eax //save lo z
-
- mov eax,[esi+4]
- mul ebx
- add eax,ecx
- adc edx,0
- add eax,[edi+4]
- adc edx,0
- mov ecx,edx
- mov [edi+4],eax
-
- mov eax,[esi+8]
- mul ebx
- add eax,ecx
- adc edx,0
- add eax,[edi+8]
- adc edx,0
- mov ecx,edx
- mov [edi+8],eax
-
- mov eax,[esi+12]
- mul ebx
- add eax,ecx
- adc edx,0
- add eax,[edi+12]
- adc edx,0
- mov ecx,edx
- mov [edi+12],eax
-
- mov eax,[esi+16]
- mul ebx
- add eax,ecx
- adc edx,0
- add eax,[edi+16]
- adc edx,0
- mov ecx,edx
- mov [edi+16],eax
-
- mov eax,[esi+20]
- mul ebx
- add eax,ecx
- adc edx,0
- add eax,[edi+20]
- adc edx,0
- mov ecx,edx
- mov [edi+20],eax
-
- mov eax,[esi+24]
- mul ebx
- add eax,ecx
- adc edx,0
- add eax,[edi+24]
- adc edx,0
- mov ecx,edx
- mov [edi+24],eax
-
- mov eax,[esi+28]
- mul ebx
- add eax,ecx
- adc edx,0
- add eax,[edi+28]
- adc edx,0
- mov [edi+28],eax
- mov eax,edx
- }
- }
-
-inline word word8_linmul3(word z[4], const word x[4], word y, word carry)
- {
- __asm {
-#if 0
- //it's slower!!!
- mov edx,[z]
- mov eax,[x]
- movd mm7,[y]
-
- movd mm0,[eax]
- movd mm1,[eax+4]
- movd mm2,[eax+8]
- pmuludq mm0,mm7
- pmuludq mm1,mm7
- pmuludq mm2,mm7
-
- movd mm6,[carry]
- paddq mm0,mm6
- movd [edx],mm0
-
- psrlq mm0,32
- paddq mm1,mm0
- movd [edx+4],mm1
-
- movd mm3,[eax+12]
- psrlq mm1,32
- paddq mm2,mm1
- movd [edx+8],mm2
-
- pmuludq mm3,mm7
- movd mm4,[eax+16]
- psrlq mm2,32
- paddq mm3,mm2
- movd [edx+12],mm3
-
- pmuludq mm4,mm7
- movd mm5,[eax+20]
- psrlq mm3,32
- paddq mm4,mm3
- movd [edx+16],mm4
-
- pmuludq mm5,mm7
- movd mm0,[eax+24]
- psrlq mm4,32
- paddq mm5,mm4
- movd [edx+20],mm5
-
- pmuludq mm0,mm7
- movd mm1,[eax+28]
- psrlq mm5,32
- paddq mm0,mm5
- movd [edx+24],mm0
-
- pmuludq mm1,mm7
- psrlq mm0,32
- paddq mm1,mm0
- movd [edx+28],mm1
- psrlq mm1,32
-
- movd eax,mm1
- emms
-#else
- mov edi,[z]
- mov esi,[x]
- mov eax,[esi] //load a
- mul [y] //edx(hi):eax(lo)=a*b
- add eax,[carry] //sum lo carry
- adc edx,0 //sum hi carry
- mov ecx,edx //store carry
- mov [edi],eax //load a
-
- mov eax,[esi+4] //load a
- mul [y] //edx(hi):eax(lo)=a*b
- add eax,ecx //sum lo carry
- adc edx,0 //sum hi carry
- mov ecx,edx //store carry
- mov [edi+4],eax //load a
-
- mov eax,[esi+8] //load a
- mul [y] //edx(hi):eax(lo)=a*b
- add eax,ecx //sum lo carry
- adc edx,0 //sum hi carry
- mov ecx,edx //store carry
- mov [edi+8],eax //load a
-
- mov eax,[esi+12] //load a
- mul [y] //edx(hi):eax(lo)=a*b
- add eax,ecx //sum lo carry
- adc edx,0 //sum hi carry
- mov ecx,edx //store carry
- mov [edi+12],eax //load a
-
- mov eax,[esi+16] //load a
- mul [y] //edx(hi):eax(lo)=a*b
- add eax,ecx //sum lo carry
- adc edx,0 //sum hi carry
- mov ecx,edx //store carry
- mov [edi+16],eax //load a
-
- mov eax,[esi+20] //load a
- mul [y] //edx(hi):eax(lo)=a*b
- add eax,ecx //sum lo carry
- adc edx,0 //sum hi carry
- mov ecx,edx //store carry
- mov [edi+20],eax //load a
-
- mov eax,[esi+24] //load a
- mul [y] //edx(hi):eax(lo)=a*b
- add eax,ecx //sum lo carry
- adc edx,0 //sum hi carry
- mov ecx,edx //store carry
- mov [edi+24],eax //load a
-
- mov eax,[esi+28] //load a
- mul [y] //edx(hi):eax(lo)=a*b
- add eax,ecx //sum lo carry
- adc edx,0 //sum hi carry
- mov [edi+28],eax //load a
- mov eax,edx //store carry
-#endif
- }
- }
-
-/*
-* Eight Word Block Multiply/Add
-*/
-inline word word8_madd3(word z[8], const word x[8], word y, word carry)
- {
- z[0] = word_madd3(x[0], y, z[0], &carry);
- z[1] = word_madd3(x[1], y, z[1], &carry);
- z[2] = word_madd3(x[2], y, z[2], &carry);
- z[3] = word_madd3(x[3], y, z[3], &carry);
- z[4] = word_madd3(x[4], y, z[4], &carry);
- z[5] = word_madd3(x[5], y, z[5], &carry);
- z[6] = word_madd3(x[6], y, z[6], &carry);
- z[7] = word_madd3(x[7], y, z[7], &carry);
- return carry;
- }
-
-/*
-* Multiply-Add Accumulator
-*/
-inline void word3_muladd(word* w2, word* w1, word* w0, word a, word b)
- {
- word carry = *w0;
- *w0 = word_madd2(a, b, &carry);
- *w1 += carry;
- *w2 += (*w1 < carry) ? 1 : 0;
- }
-
-/*
-* Multiply-Add Accumulator
-*/
-inline void word3_muladd_2(word* w2, word* w1, word* w0, word a, word b)
- {
- word carry = 0;
- a = word_madd2(a, b, &carry);
- b = carry;
-
- word top = (b >> (BOTAN_MP_WORD_BITS-1));
- b <<= 1;
- b |= (a >> (BOTAN_MP_WORD_BITS-1));
- a <<= 1;
-
- carry = 0;
- *w0 = word_add(*w0, a, &carry);
- *w1 = word_add(*w1, b, &carry);
- *w2 = word_add(*w2, top, &carry);
- }
-
-}
-
-}
-
-#endif
diff --git a/src/math/mp/mp_x86_64/info.txt b/src/math/mp/mp_x86_64/info.txt
deleted file mode 100644
index 75c42ddc1..000000000
--- a/src/math/mp/mp_x86_64/info.txt
+++ /dev/null
@@ -1,18 +0,0 @@
-load_on dep
-
-mp_bits 64
-
-<header:internal>
-mp_madd.h
-mp_asmi.h
-</header:internal>
-
-<arch>
-x86_64
-</arch>
-
-<cc>
-clang
-gcc
-icc
-</cc>
diff --git a/src/math/mp/mp_x86_64/mp_asmi.h b/src/math/mp/mp_x86_64/mp_asmi.h
deleted file mode 100644
index b2f1202e3..000000000
--- a/src/math/mp/mp_x86_64/mp_asmi.h
+++ /dev/null
@@ -1,248 +0,0 @@
-/*
-* Lowest Level MPI Algorithms
-* (C) 1999-2010 Jack Lloyd
-* 2006 Luca Piccarreta
-*
-* Distributed under the terms of the Botan license
-*/
-
-#ifndef BOTAN_MP_ASM_INTERNAL_H__
-#define BOTAN_MP_ASM_INTERNAL_H__
-
-#include <botan/internal/mp_madd.h>
-
-namespace Botan {
-
-extern "C" {
-
-/*
-* Helper Macros for x86-64 Assembly
-*/
-#ifndef ASM
- #define ASM(x) x "\n\t"
-#endif
-
-#define ADDSUB2_OP(OPERATION, INDEX) \
- ASM("movq 8*" #INDEX "(%[y]), %[carry]") \
- ASM(OPERATION " %[carry], 8*" #INDEX "(%[x])") \
-
-#define ADDSUB3_OP(OPERATION, INDEX) \
- ASM("movq 8*" #INDEX "(%[x]), %[carry]") \
- ASM(OPERATION " 8*" #INDEX "(%[y]), %[carry]") \
- ASM("movq %[carry], 8*" #INDEX "(%[z])") \
-
-#define LINMUL_OP(WRITE_TO, INDEX) \
- ASM("movq 8*" #INDEX "(%[x]),%%rax") \
- ASM("mulq %[y]") \
- ASM("addq %[carry],%%rax") \
- ASM("adcq $0,%%rdx") \
- ASM("movq %%rdx,%[carry]") \
- ASM("movq %%rax, 8*" #INDEX "(%[" WRITE_TO "])")
-
-#define MULADD_OP(IGNORED, INDEX) \
- ASM("movq 8*" #INDEX "(%[x]),%%rax") \
- ASM("mulq %[y]") \
- ASM("addq %[carry],%%rax") \
- ASM("adcq $0,%%rdx") \
- ASM("addq 8*" #INDEX "(%[z]),%%rax") \
- ASM("adcq $0,%%rdx") \
- ASM("movq %%rdx,%[carry]") \
- ASM("movq %%rax, 8*" #INDEX " (%[z])")
-
-#define DO_8_TIMES(MACRO, ARG) \
- MACRO(ARG, 0) \
- MACRO(ARG, 1) \
- MACRO(ARG, 2) \
- MACRO(ARG, 3) \
- MACRO(ARG, 4) \
- MACRO(ARG, 5) \
- MACRO(ARG, 6) \
- MACRO(ARG, 7)
-
-#define ADD_OR_SUBTRACT(CORE_CODE) \
- ASM("rorq %[carry]") \
- CORE_CODE \
- ASM("sbbq %[carry],%[carry]") \
- ASM("negq %[carry]")
-
-/*
-* Word Addition
-*/
-inline word word_add(word x, word y, word* carry)
- {
- asm(
- ADD_OR_SUBTRACT(ASM("adcq %[y],%[x]"))
- : [x]"=r"(x), [carry]"=r"(*carry)
- : "0"(x), [y]"rm"(y), "1"(*carry)
- : "cc");
- return x;
- }
-
-/*
-* Eight Word Block Addition, Two Argument
-*/
-inline word word8_add2(word x[8], const word y[8], word carry)
- {
- asm(
- ADD_OR_SUBTRACT(DO_8_TIMES(ADDSUB2_OP, "adcq"))
- : [carry]"=r"(carry)
- : [x]"r"(x), [y]"r"(y), "0"(carry)
- : "cc", "memory");
- return carry;
- }
-
-/*
-* Eight Word Block Addition, Three Argument
-*/
-inline word word8_add3(word z[8], const word x[8], const word y[8], word carry)
- {
- asm(
- ADD_OR_SUBTRACT(DO_8_TIMES(ADDSUB3_OP, "adcq"))
- : [carry]"=r"(carry)
- : [x]"r"(x), [y]"r"(y), [z]"r"(z), "0"(carry)
- : "cc", "memory");
- return carry;
- }
-
-/*
-* Word Subtraction
-*/
-inline word word_sub(word x, word y, word* carry)
- {
- asm(
- ADD_OR_SUBTRACT(ASM("sbbq %[y],%[x]"))
- : [x]"=r"(x), [carry]"=r"(*carry)
- : "0"(x), [y]"rm"(y), "1"(*carry)
- : "cc");
- return x;
- }
-
-/*
-* Eight Word Block Subtraction, Two Argument
-*/
-inline word word8_sub2(word x[8], const word y[8], word carry)
- {
- asm(
- ADD_OR_SUBTRACT(DO_8_TIMES(ADDSUB2_OP, "sbbq"))
- : [carry]"=r"(carry)
- : [x]"r"(x), [y]"r"(y), "0"(carry)
- : "cc", "memory");
- return carry;
- }
-
-/*
-* Eight Word Block Subtraction, Two Argument
-*/
-inline word word8_sub2_rev(word x[8], const word y[8], word carry)
- {
- asm(
- ADD_OR_SUBTRACT(DO_8_TIMES(ADDSUB3_OP, "sbbq"))
- : [carry]"=r"(carry)
- : [x]"r"(y), [y]"r"(x), [z]"r"(x), "0"(carry)
- : "cc", "memory");
- return carry;
- }
-
-/*
-* Eight Word Block Subtraction, Three Argument
-*/
-inline word word8_sub3(word z[8], const word x[8], const word y[8], word carry)
- {
- asm(
- ADD_OR_SUBTRACT(DO_8_TIMES(ADDSUB3_OP, "sbbq"))
- : [carry]"=r"(carry)
- : [x]"r"(x), [y]"r"(y), [z]"r"(z), "0"(carry)
- : "cc", "memory");
- return carry;
- }
-
-/*
-* Eight Word Block Linear Multiplication
-*/
-inline word word8_linmul2(word x[8], word y, word carry)
- {
- asm(
- DO_8_TIMES(LINMUL_OP, "x")
- : [carry]"=r"(carry)
- : [x]"r"(x), [y]"rm"(y), "0"(carry)
- : "cc", "%rax", "%rdx");
- return carry;
- }
-
-/*
-* Eight Word Block Linear Multiplication
-*/
-inline word word8_linmul3(word z[8], const word x[8], word y, word carry)
- {
- asm(
- DO_8_TIMES(LINMUL_OP, "z")
- : [carry]"=r"(carry)
- : [z]"r"(z), [x]"r"(x), [y]"rm"(y), "0"(carry)
- : "cc", "%rax", "%rdx");
- return carry;
- }
-
-/*
-* Eight Word Block Multiply/Add
-*/
-inline word word8_madd3(word z[8], const word x[8], word y, word carry)
- {
- asm(
- DO_8_TIMES(MULADD_OP, "")
- : [carry]"=r"(carry)
- : [z]"r"(z), [x]"r"(x), [y]"rm"(y), "0"(carry)
- : "cc", "%rax", "%rdx");
- return carry;
- }
-
-/*
-* Multiply-Add Accumulator
-*/
-inline void word3_muladd(word* w2, word* w1, word* w0, word x, word y)
- {
- asm(
- ASM("mulq %[y]")
-
- ASM("addq %[x],%[w0]")
- ASM("adcq %[y],%[w1]")
- ASM("adcq $0,%[w2]")
-
- : [w0]"=r"(*w0), [w1]"=r"(*w1), [w2]"=r"(*w2)
- : [x]"a"(x), [y]"d"(y), "0"(*w0), "1"(*w1), "2"(*w2)
- : "cc");
- }
-
-/*
-* Multiply-Add Accumulator
-*/
-inline void word3_muladd_2(word* w2, word* w1, word* w0, word x, word y)
- {
- asm(
- ASM("mulq %[y]")
-
- ASM("addq %[x],%[w0]")
- ASM("adcq %[y],%[w1]")
- ASM("adcq $0,%[w2]")
-
- ASM("addq %[x],%[w0]")
- ASM("adcq %[y],%[w1]")
- ASM("adcq $0,%[w2]")
-
- : [w0]"=r"(*w0), [w1]"=r"(*w1), [w2]"=r"(*w2)
- : [x]"a"(x), [y]"d"(y), "0"(*w0), "1"(*w1), "2"(*w2)
- : "cc");
- }
-
-
-#undef ASM
-#undef DO_8_TIMES
-#undef ADD_OR_SUBTRACT
-#undef ADDSUB2_OP
-#undef ADDSUB3_OP
-#undef LINMUL_OP
-#undef MULADD_OP
-
-}
-
-}
-#endif
diff --git a/src/math/mp/mp_x86_64/mp_madd.h b/src/math/mp/mp_x86_64/mp_madd.h
deleted file mode 100644
index 4c0d79931..000000000
--- a/src/math/mp/mp_x86_64/mp_madd.h
+++ /dev/null
@@ -1,69 +0,0 @@
-/*
-* Lowest Level MPI Algorithms
-* (C) 1999-2008 Jack Lloyd
-* 2006 Luca Piccarreta
-*
-* Distributed under the terms of the Botan license
-*/
-
-#ifndef BOTAN_MP_WORD_MULADD_H__
-#define BOTAN_MP_WORD_MULADD_H__
-
-#include <botan/mp_types.h>
-
-#if (BOTAN_MP_WORD_BITS != 64)
- #error The mp_x86_64 module requires that BOTAN_MP_WORD_BITS == 64
-#endif
-
-namespace Botan {
-
-extern "C" {
-
-/*
-* Helper Macros for x86-64 Assembly
-*/
-#define ASM(x) x "\n\t"
-
-/*
-* Word Multiply
-*/
-inline word word_madd2(word a, word b, word* c)
- {
- asm(
- ASM("mulq %[b]")
- ASM("addq %[c],%[a]")
- ASM("adcq $0,%[carry]")
-
- : [a]"=a"(a), [b]"=rm"(b), [carry]"=&d"(*c)
- : "0"(a), "1"(b), [c]"g"(*c) : "cc");
-
- return a;
- }
-
-/*
-* Word Multiply/Add
-*/
-inline word word_madd3(word a, word b, word c, word* d)
- {
- asm(
- ASM("mulq %[b]")
-
- ASM("addq %[c],%[a]")
- ASM("adcq $0,%[carry]")
-
- ASM("addq %[d],%[a]")
- ASM("adcq $0,%[carry]")
-
- : [a]"=a"(a), [b]"=rm"(b), [carry]"=&d"(*d)
- : "0"(a), "1"(b), [c]"g"(c), [d]"g"(*d) : "cc");
-
- return a;
- }
-
-#undef ASM
-
-}
-
-}
-
-#endif
diff --git a/src/math/numbertheory/def_powm.h b/src/math/numbertheory/def_powm.h
deleted file mode 100644
index 6ceee7bb6..000000000
--- a/src/math/numbertheory/def_powm.h
+++ /dev/null
@@ -1,63 +0,0 @@
-/*
-* Modular Exponentiation
-* (C) 1999-2007 Jack Lloyd
-*
-* Distributed under the terms of the Botan license
-*/
-
-#ifndef BOTAN_DEFAULT_MODEXP_H__
-#define BOTAN_DEFAULT_MODEXP_H__
-
-#include <botan/pow_mod.h>
-#include <botan/reducer.h>
-#include <vector>
-
-namespace Botan {
-
-/**
-* Fixed Window Exponentiator
-*/
-class Fixed_Window_Exponentiator : public Modular_Exponentiator
- {
- public:
- void set_exponent(const BigInt&);
- void set_base(const BigInt&);
- BigInt execute() const;
-
- Modular_Exponentiator* copy() const
- { return new Fixed_Window_Exponentiator(*this); }
-
- Fixed_Window_Exponentiator(const BigInt&, Power_Mod::Usage_Hints);
- private:
- Modular_Reducer reducer;
- BigInt exp;
- size_t window_bits;
- std::vector<BigInt> g;
- Power_Mod::Usage_Hints hints;
- };
-
-/**
-* Montgomery Exponentiator
-*/
-class Montgomery_Exponentiator : public Modular_Exponentiator
- {
- public:
- void set_exponent(const BigInt&);
- void set_base(const BigInt&);
- BigInt execute() const;
-
- Modular_Exponentiator* copy() const
- { return new Montgomery_Exponentiator(*this); }
-
- Montgomery_Exponentiator(const BigInt&, Power_Mod::Usage_Hints);
- private:
- BigInt m_exp, m_modulus, m_R_mod, m_R2_mod;
- word m_mod_prime;
- size_t m_mod_words, m_exp_bits, m_window_bits;
- Power_Mod::Usage_Hints m_hints;
- std::vector<BigInt> m_g;
- };
-
-}
-
-#endif
diff --git a/src/math/numbertheory/dsa_gen.cpp b/src/math/numbertheory/dsa_gen.cpp
deleted file mode 100644
index d30a08f1a..000000000
--- a/src/math/numbertheory/dsa_gen.cpp
+++ /dev/null
@@ -1,134 +0,0 @@
-/*
-* DSA Parameter Generation
-* (C) 1999-2007 Jack Lloyd
-*
-* Distributed under the terms of the Botan license
-*/
-
-#include <botan/numthry.h>
-#include <botan/algo_factory.h>
-#include <botan/hash.h>
-#include <botan/parsing.h>
-#include <algorithm>
-#include <memory>
-
-namespace Botan {
-
-namespace {
-
-/*
-* Check if this size is allowed by FIPS 186-3
-*/
-bool fips186_3_valid_size(size_t pbits, size_t qbits)
- {
- if(qbits == 160)
- return (pbits == 512 || pbits == 768 || pbits == 1024);
-
- if(qbits == 224)
- return (pbits == 2048);
-
- if(qbits == 256)
- return (pbits == 2048 || pbits == 3072);
-
- return false;
- }
-
-}
-
-/*
-* Attempt DSA prime generation with given seed
-*/
-bool generate_dsa_primes(RandomNumberGenerator& rng,
- Algorithm_Factory& af,
- BigInt& p, BigInt& q,
- size_t pbits, size_t qbits,
- const std::vector<byte>& seed_c)
- {
- if(!fips186_3_valid_size(pbits, qbits))
- throw Invalid_Argument(
- "FIPS 186-3 does not allow DSA domain parameters of " +
- std::to_string(pbits) + "/" + std::to_string(qbits) + " bits long");
-
- if(seed_c.size() * 8 < qbits)
- throw Invalid_Argument(
- "Generating a DSA parameter set with a " + std::to_string(qbits) +
- "long q requires a seed at least as many bits long");
-
- std::unique_ptr<HashFunction> hash(
- af.make_hash_function("SHA-" + std::to_string(qbits)));
-
- const size_t HASH_SIZE = hash->output_length();
-
- class Seed
- {
- public:
- Seed(const std::vector<byte>& s) : seed(s) {}
-
- operator std::vector<byte>& () { return seed; }
-
- Seed& operator++()
- {
- for(size_t j = seed.size(); j > 0; --j)
- if(++seed[j-1])
- break;
- return (*this);
- }
- private:
- std::vector<byte> seed;
- };
-
- Seed seed(seed_c);
-
- q.binary_decode(hash->process(seed));
- q.set_bit(qbits-1);
- q.set_bit(0);
-
- if(!check_prime(q, rng))
- return false;
-
- const size_t n = (pbits-1) / (HASH_SIZE * 8),
- b = (pbits-1) % (HASH_SIZE * 8);
-
- BigInt X;
- std::vector<byte> V(HASH_SIZE * (n+1));
-
- for(size_t j = 0; j != 4096; ++j)
- {
- for(size_t k = 0; k <= n; ++k)
- {
- ++seed;
- hash->update(seed);
- hash->final(&V[HASH_SIZE * (n-k)]);
- }
-
- X.binary_decode(&V[HASH_SIZE - 1 - b/8],
- V.size() - (HASH_SIZE - 1 - b/8));
- X.set_bit(pbits-1);
-
- p = X - (X % (2*q) - 1);
-
- if(p.bits() == pbits && check_prime(p, rng))
- return true;
- }
- return false;
- }
-
-/*
-* Generate DSA Primes
-*/
-std::vector<byte> generate_dsa_primes(RandomNumberGenerator& rng,
- Algorithm_Factory& af,
- BigInt& p, BigInt& q,
- size_t pbits, size_t qbits)
- {
- while(true)
- {
- std::vector<byte> seed(qbits / 8);
- rng.randomize(&seed[0], seed.size());
-
- if(generate_dsa_primes(rng, af, p, q, pbits, qbits, seed))
- return seed;
- }
- }
-
-}
diff --git a/src/math/numbertheory/info.txt b/src/math/numbertheory/info.txt
deleted file mode 100644
index 62386c3bc..000000000
--- a/src/math/numbertheory/info.txt
+++ /dev/null
@@ -1,35 +0,0 @@
-define BIGINT_MATH 20131128
-
-load_on auto
-
-<header:public>
-numthry.h
-pow_mod.h
-reducer.h
-</header:public>
-
-<header:internal>
-def_powm.h
-</header:internal>
-
-<source>
-dsa_gen.cpp
-jacobi.cpp
-make_prm.cpp
-mp_numth.cpp
-numthry.cpp
-pow_mod.cpp
-powm_fw.cpp
-powm_mnt.cpp
-primes.cpp
-reducer.cpp
-ressol.cpp
-</source>
-
-<requires>
-algo_factory
-bigint
-hash
-libstate
-rng
-</requires>
diff --git a/src/math/numbertheory/jacobi.cpp b/src/math/numbertheory/jacobi.cpp
deleted file mode 100644
index fcccc80e5..000000000
--- a/src/math/numbertheory/jacobi.cpp
+++ /dev/null
@@ -1,53 +0,0 @@
-/*
-* Jacobi Function
-* (C) 1999-2007 Jack Lloyd
-*
-* Distributed under the terms of the Botan license
-*/
-
-#include <botan/numthry.h>
-
-namespace Botan {
-
-/*
-* Calculate the Jacobi symbol
-*/
-s32bit jacobi(const BigInt& a, const BigInt& n)
- {
- if(a.is_negative())
- throw Invalid_Argument("jacobi: first argument must be non-negative");
- if(n.is_even() || n < 2)
- throw Invalid_Argument("jacobi: second argument must be odd and > 1");
-
- BigInt x = a, y = n;
- s32bit J = 1;
-
- while(y > 1)
- {
- x %= y;
- if(x > y / 2)
- {
- x = y - x;
- if(y % 4 == 3)
- J = -J;
- }
- if(x.is_zero())
- return 0;
-
- size_t shifts = low_zero_bits(x);
- x >>= shifts;
- if(shifts % 2)
- {
- word y_mod_8 = y % 8;
- if(y_mod_8 == 3 || y_mod_8 == 5)
- J = -J;
- }
-
- if(x % 4 == 3 && y % 4 == 3)
- J = -J;
- std::swap(x, y);
- }
- return J;
- }
-
-}
diff --git a/src/math/numbertheory/make_prm.cpp b/src/math/numbertheory/make_prm.cpp
deleted file mode 100644
index dc94420ab..000000000
--- a/src/math/numbertheory/make_prm.cpp
+++ /dev/null
@@ -1,100 +0,0 @@
-/*
-* Prime Generation
-* (C) 1999-2007 Jack Lloyd
-*
-* Distributed under the terms of the Botan license
-*/
-
-#include <botan/numthry.h>
-#include <botan/parsing.h>
-#include <algorithm>
-
-namespace Botan {
-
-/*
-* Generate a random prime
-*/
-BigInt random_prime(RandomNumberGenerator& rng,
- size_t bits, const BigInt& coprime,
- size_t equiv, size_t modulo)
- {
- if(bits <= 1)
- throw Invalid_Argument("random_prime: Can't make a prime of " +
- std::to_string(bits) + " bits");
- else if(bits == 2)
- return ((rng.next_byte() % 2) ? 2 : 3);
- else if(bits == 3)
- return ((rng.next_byte() % 2) ? 5 : 7);
- else if(bits == 4)
- return ((rng.next_byte() % 2) ? 11 : 13);
-
- if(coprime <= 0)
- throw Invalid_Argument("random_prime: coprime must be > 0");
- if(modulo % 2 == 1 || modulo == 0)
- throw Invalid_Argument("random_prime: Invalid modulo value");
- if(equiv >= modulo || equiv % 2 == 0)
- throw Invalid_Argument("random_prime: equiv must be < modulo, and odd");
-
- while(true)
- {
- BigInt p(rng, bits);
-
- // Force lowest and two top bits on
- p.set_bit(bits - 1);
- p.set_bit(bits - 2);
- p.set_bit(0);
-
- if(p % modulo != equiv)
- p += (modulo - p % modulo) + equiv;
-
- const size_t sieve_size = std::min(bits / 2, PRIME_TABLE_SIZE);
- secure_vector<u16bit> sieve(sieve_size);
-
- for(size_t j = 0; j != sieve.size(); ++j)
- sieve[j] = p % PRIMES[j];
-
- size_t counter = 0;
- while(true)
- {
- if(counter == 4096 || p.bits() > bits)
- break;
-
- bool passes_sieve = true;
- ++counter;
- p += modulo;
-
- if(p.bits() > bits)
- break;
-
- for(size_t j = 0; j != sieve.size(); ++j)
- {
- sieve[j] = (sieve[j] + modulo) % PRIMES[j];
- if(sieve[j] == 0)
- passes_sieve = false;
- }
-
- if(!passes_sieve || gcd(p - 1, coprime) != 1)
- continue;
- if(check_prime(p, rng))
- return p;
- }
- }
- }
-
-/*
-* Generate a random safe prime
-*/
-BigInt random_safe_prime(RandomNumberGenerator& rng, size_t bits)
- {
- if(bits <= 64)
- throw Invalid_Argument("random_safe_prime: Can't make a prime of " +
- std::to_string(bits) + " bits");
-
- BigInt p;
- do
- p = (random_prime(rng, bits - 1) << 1) + 1;
- while(!check_prime(p, rng));
- return p;
- }
-
-}
diff --git a/src/math/numbertheory/mp_numth.cpp b/src/math/numbertheory/mp_numth.cpp
deleted file mode 100644
index e6826b9dd..000000000
--- a/src/math/numbertheory/mp_numth.cpp
+++ /dev/null
@@ -1,74 +0,0 @@
-/*
-* Fused and Important MP Algorithms
-* (C) 1999-2007 Jack Lloyd
-*
-* Distributed under the terms of the Botan license
-*/
-
-#include <botan/numthry.h>
-#include <botan/internal/mp_core.h>
-#include <botan/internal/rounding.h>
-#include <algorithm>
-
-namespace Botan {
-
-/*
-* Square a BigInt
-*/
-BigInt square(const BigInt& x)
- {
- const size_t x_sw = x.sig_words();
-
- BigInt z(BigInt::Positive, round_up<size_t>(2*x_sw, 16));
- secure_vector<word> workspace(z.size());
-
- bigint_sqr(z.mutable_data(), z.size(),
- &workspace[0],
- x.data(), x.size(), x_sw);
- return z;
- }
-
-/*
-* Multiply-Add Operation
-*/
-BigInt mul_add(const BigInt& a, const BigInt& b, const BigInt& c)
- {
- if(c.is_negative() || c.is_zero())
- throw Invalid_Argument("mul_add: Third argument must be > 0");
-
- BigInt::Sign sign = BigInt::Positive;
- if(a.sign() != b.sign())
- sign = BigInt::Negative;
-
- const size_t a_sw = a.sig_words();
- const size_t b_sw = b.sig_words();
- const size_t c_sw = c.sig_words();
-
- BigInt r(sign, std::max(a.size() + b.size(), c_sw) + 1);
- secure_vector<word> workspace(r.size());
-
- bigint_mul(r.mutable_data(), r.size(),
- &workspace[0],
- a.data(), a.size(), a_sw,
- b.data(), b.size(), b_sw);
-
- const size_t r_size = std::max(r.sig_words(), c_sw);
- bigint_add2(r.mutable_data(), r_size, c.data(), c_sw);
- return r;
- }
-
-/*
-* Subtract-Multiply Operation
-*/
-BigInt sub_mul(const BigInt& a, const BigInt& b, const BigInt& c)
- {
- if(a.is_negative() || b.is_negative())
- throw Invalid_Argument("sub_mul: First two arguments must be >= 0");
-
- BigInt r = a;
- r -= b;
- r *= c;
- return r;
- }
-
-}
diff --git a/src/math/numbertheory/numthry.cpp b/src/math/numbertheory/numthry.cpp
deleted file mode 100644
index e3c673ea5..000000000
--- a/src/math/numbertheory/numthry.cpp
+++ /dev/null
@@ -1,409 +0,0 @@
-/*
-* Number Theory Functions
-* (C) 1999-2011 Jack Lloyd
-*
-* Distributed under the terms of the Botan license
-*/
-
-#include <botan/numthry.h>
-#include <botan/reducer.h>
-#include <botan/internal/bit_ops.h>
-#include <botan/internal/mp_core.h>
-#include <algorithm>
-
-namespace Botan {
-
-namespace {
-
-/*
-* Miller-Rabin Primality Tester
-*/
-class MillerRabin_Test
- {
- public:
- bool is_witness(const BigInt& nonce);
- MillerRabin_Test(const BigInt& num);
- private:
- BigInt n, r, n_minus_1;
- size_t s;
- Fixed_Exponent_Power_Mod pow_mod;
- Modular_Reducer reducer;
- };
-
-/*
-* Miller-Rabin Test, as described in Handbook of Applied Cryptography
-* section 4.24
-*/
-bool MillerRabin_Test::is_witness(const BigInt& a)
- {
- if(a < 2 || a >= n_minus_1)
- throw Invalid_Argument("Bad size for nonce in Miller-Rabin test");
-
- BigInt y = pow_mod(a);
- if(y == 1 || y == n_minus_1)
- return false;
-
- for(size_t i = 1; i != s; ++i)
- {
- y = reducer.square(y);
-
- if(y == 1) // found a non-trivial square root
- return true;
-
- if(y == n_minus_1) // -1, trivial square root, so give up
- return false;
- }
-
- if(y != n_minus_1) // fails Fermat test
- return true;
-
- return false;
- }
-
-/*
-* Miller-Rabin Constructor
-*/
-MillerRabin_Test::MillerRabin_Test(const BigInt& num)
- {
- if(num.is_even() || num < 3)
- throw Invalid_Argument("MillerRabin_Test: Invalid number for testing");
-
- n = num;
- n_minus_1 = n - 1;
- s = low_zero_bits(n_minus_1);
- r = n_minus_1 >> s;
-
- pow_mod = Fixed_Exponent_Power_Mod(r, n);
- reducer = Modular_Reducer(n);
- }
-
-/*
-* Miller-Rabin Iterations
-*/
-size_t miller_rabin_test_iterations(size_t bits, size_t level)
- {
- struct mapping { size_t bits; size_t verify_iter; size_t check_iter; };
-
- const mapping tests[] = {
- { 50, 55, 25 },
- { 100, 38, 22 },
- { 160, 32, 18 },
- { 163, 31, 17 },
- { 168, 30, 16 },
- { 177, 29, 16 },
- { 181, 28, 15 },
- { 185, 27, 15 },
- { 190, 26, 15 },
- { 195, 25, 14 },
- { 201, 24, 14 },
- { 208, 23, 14 },
- { 215, 22, 13 },
- { 222, 21, 13 },
- { 231, 20, 13 },
- { 241, 19, 12 },
- { 252, 18, 12 },
- { 264, 17, 12 },
- { 278, 16, 11 },
- { 294, 15, 10 },
- { 313, 14, 9 },
- { 334, 13, 8 },
- { 360, 12, 8 },
- { 392, 11, 7 },
- { 430, 10, 7 },
- { 479, 9, 6 },
- { 542, 8, 6 },
- { 626, 7, 5 },
- { 746, 6, 4 },
- { 926, 5, 3 },
- { 1232, 4, 2 },
- { 1853, 3, 2 },
- { 0, 0, 0 }
- };
-
- for(size_t i = 0; tests[i].bits; ++i)
- {
- if(bits <= tests[i].bits)
- {
- if(level >= 2)
- return tests[i].verify_iter;
- else if(level == 1)
- return tests[i].check_iter;
- else if(level == 0)
- return std::max<size_t>(tests[i].check_iter / 4, 1);
- }
- }
-
- return level > 0 ? 2 : 1; // for large inputs
- }
-
-}
-
-/*
-* Return the number of 0 bits at the end of n
-*/
-size_t low_zero_bits(const BigInt& n)
- {
- size_t low_zero = 0;
-
- if(n.is_positive() && n.is_nonzero())
- {
- for(size_t i = 0; i != n.size(); ++i)
- {
- const word x = n.word_at(i);
-
- if(x)
- {
- low_zero += ctz(x);
- break;
- }
- else
- low_zero += BOTAN_MP_WORD_BITS;
- }
- }
-
- return low_zero;
- }
-
-/*
-* Calculate the GCD
-*/
-BigInt gcd(const BigInt& a, const BigInt& b)
- {
- if(a.is_zero() || b.is_zero()) return 0;
- if(a == 1 || b == 1) return 1;
-
- BigInt x = a, y = b;
- x.set_sign(BigInt::Positive);
- y.set_sign(BigInt::Positive);
- size_t shift = std::min(low_zero_bits(x), low_zero_bits(y));
-
- x >>= shift;
- y >>= shift;
-
- while(x.is_nonzero())
- {
- x >>= low_zero_bits(x);
- y >>= low_zero_bits(y);
- if(x >= y) { x -= y; x >>= 1; }
- else { y -= x; y >>= 1; }
- }
-
- return (y << shift);
- }
-
-/*
-* Calculate the LCM
-*/
-BigInt lcm(const BigInt& a, const BigInt& b)
- {
- return ((a * b) / gcd(a, b));
- }
-
-namespace {
-
-/*
-* If the modulus is odd, then we can avoid computing A and C. This is
-* a critical path algorithm in some instances and an odd modulus is
-* the common case for crypto, so worth special casing. See note 14.64
-* in Handbook of Applied Cryptography for more details.
-*/
-BigInt inverse_mod_odd_modulus(const BigInt& n, const BigInt& mod)
- {
- BigInt u = mod, v = n;
- BigInt B = 0, D = 1;
-
- while(u.is_nonzero())
- {
- const size_t u_zero_bits = low_zero_bits(u);
- u >>= u_zero_bits;
- for(size_t i = 0; i != u_zero_bits; ++i)
- {
- if(B.is_odd())
- { B -= mod; }
- B >>= 1;
- }
-
- const size_t v_zero_bits = low_zero_bits(v);
- v >>= v_zero_bits;
- for(size_t i = 0; i != v_zero_bits; ++i)
- {
- if(D.is_odd())
- { D -= mod; }
- D >>= 1;
- }
-
- if(u >= v) { u -= v; B -= D; }
- else { v -= u; D -= B; }
- }
-
- if(v != 1)
- return 0; // no modular inverse
-
- while(D.is_negative()) D += mod;
- while(D >= mod) D -= mod;
-
- return D;
- }
-
-}
-
-/*
-* Find the Modular Inverse
-*/
-BigInt inverse_mod(const BigInt& n, const BigInt& mod)
- {
- if(mod.is_zero())
- throw BigInt::DivideByZero();
- if(mod.is_negative() || n.is_negative())
- throw Invalid_Argument("inverse_mod: arguments must be non-negative");
-
- if(n.is_zero() || (n.is_even() && mod.is_even()))
- return 0; // fast fail checks
-
- if(mod.is_odd())
- return inverse_mod_odd_modulus(n, mod);
-
- BigInt u = mod, v = n;
- BigInt A = 1, B = 0, C = 0, D = 1;
-
- while(u.is_nonzero())
- {
- const size_t u_zero_bits = low_zero_bits(u);
- u >>= u_zero_bits;
- for(size_t i = 0; i != u_zero_bits; ++i)
- {
- if(A.is_odd() || B.is_odd())
- { A += n; B -= mod; }
- A >>= 1; B >>= 1;
- }
-
- const size_t v_zero_bits = low_zero_bits(v);
- v >>= v_zero_bits;
- for(size_t i = 0; i != v_zero_bits; ++i)
- {
- if(C.is_odd() || D.is_odd())
- { C += n; D -= mod; }
- C >>= 1; D >>= 1;
- }
-
- if(u >= v) { u -= v; A -= C; B -= D; }
- else { v -= u; C -= A; D -= B; }
- }
-
- if(v != 1)
- return 0; // no modular inverse
-
- while(D.is_negative()) D += mod;
- while(D >= mod) D -= mod;
-
- return D;
- }
-
-word monty_inverse(word input)
- {
- word b = input;
- word x2 = 1, x1 = 0, y2 = 0, y1 = 1;
-
- // First iteration, a = n+1
- word q = bigint_divop(1, 0, b);
- word r = (MP_WORD_MAX - q*b) + 1;
- word x = x2 - q*x1;
- word y = y2 - q*y1;
-
- word a = b;
- b = r;
- x2 = x1;
- x1 = x;
- y2 = y1;
- y1 = y;
-
- while(b > 0)
- {
- q = a / b;
- r = a - q*b;
- x = x2 - q*x1;
- y = y2 - q*y1;
-
- a = b;
- b = r;
- x2 = x1;
- x1 = x;
- y2 = y1;
- y1 = y;
- }
-
- // Now invert in addition space
- y2 = (MP_WORD_MAX - y2) + 1;
-
- return y2;
- }
-
-/*
-* Modular Exponentiation
-*/
-BigInt power_mod(const BigInt& base, const BigInt& exp, const BigInt& mod)
- {
- Power_Mod pow_mod(mod);
-
- /*
- * Calling set_base before set_exponent means we end up using a
- * minimal window. This makes sense given that here we know that any
- * precomputation is wasted.
- */
- pow_mod.set_base(base);
- pow_mod.set_exponent(exp);
- return pow_mod.execute();
- }
-
-/*
-* Test for primaility using Miller-Rabin
-*/
-bool primality_test(const BigInt& n,
- RandomNumberGenerator& rng,
- size_t level)
- {
- if(n == 2)
- return true;
- if(n <= 1 || n.is_even())
- return false;
-
- // Fast path testing for small numbers (<= 65521)
- if(n <= PRIMES[PRIME_TABLE_SIZE-1])
- {
- const word num = n.word_at(0);
-
- for(size_t i = 0; PRIMES[i]; ++i)
- {
- if(num == PRIMES[i])
- return true;
- if(num < PRIMES[i])
- return false;
- }
-
- return false;
- }
-
- if(level > 2)
- level = 2;
-
- const size_t PREF_NONCE_BITS = 192;
-
- const size_t NONCE_BITS = std::min(n.bits() - 2, PREF_NONCE_BITS);
-
- MillerRabin_Test mr(n);
-
- const size_t tests = miller_rabin_test_iterations(n.bits(), level);
-
- BigInt nonce;
- for(size_t i = 0; i != tests; ++i)
- {
- while(nonce < 2 || nonce >= (n-1))
- nonce.randomize(rng, NONCE_BITS);
-
- if(mr.is_witness(nonce))
- return false;
- }
- return true;
- }
-
-}
diff --git a/src/math/numbertheory/numthry.h b/src/math/numbertheory/numthry.h
deleted file mode 100644
index a34d855b2..000000000
--- a/src/math/numbertheory/numthry.h
+++ /dev/null
@@ -1,237 +0,0 @@
-/*
-* Number Theory Functions
-* (C) 1999-2007 Jack Lloyd
-*
-* Distributed under the terms of the Botan license
-*/
-
-#ifndef BOTAN_NUMBER_THEORY_H__
-#define BOTAN_NUMBER_THEORY_H__
-
-#include <botan/bigint.h>
-#include <botan/pow_mod.h>
-#include <botan/rng.h>
-
-namespace Botan {
-
-/**
-* Fused multiply-add
-* @param a an integer
-* @param b an integer
-* @param c an integer
-* @return (a*b)+c
-*/
-BigInt BOTAN_DLL mul_add(const BigInt& a,
- const BigInt& b,
- const BigInt& c);
-
-/**
-* Fused subtract-multiply
-* @param a an integer
-* @param b an integer
-* @param c an integer
-* @return (a-b)*c
-*/
-BigInt BOTAN_DLL sub_mul(const BigInt& a,
- const BigInt& b,
- const BigInt& c);
-
-/**
-* Return the absolute value
-* @param n an integer
-* @return absolute value of n
-*/
-inline BigInt abs(const BigInt& n) { return n.abs(); }
-
-/**
-* Compute the greatest common divisor
-* @param x a positive integer
-* @param y a positive integer
-* @return gcd(x,y)
-*/
-BigInt BOTAN_DLL gcd(const BigInt& x, const BigInt& y);
-
-/**
-* Least common multiple
-* @param x a positive integer
-* @param y a positive integer
-* @return z, smallest integer such that z % x == 0 and z % y == 0
-*/
-BigInt BOTAN_DLL lcm(const BigInt& x, const BigInt& y);
-
-/**
-* @param x an integer
-* @return (x*x)
-*/
-BigInt BOTAN_DLL square(const BigInt& x);
-
-/**
-* Modular inversion
-* @param x a positive integer
-* @param modulus a positive integer
-* @return y st (x*y) % modulus == 1
-*/
-BigInt BOTAN_DLL inverse_mod(const BigInt& x,
- const BigInt& modulus);
-
-/**
-* Compute the Jacobi symbol. If n is prime, this is equivalent
-* to the Legendre symbol.
-* @see http://mathworld.wolfram.com/JacobiSymbol.html
-*
-* @param a is a non-negative integer
-* @param n is an odd integer > 1
-* @return (n / m)
-*/
-s32bit BOTAN_DLL jacobi(const BigInt& a,
- const BigInt& n);
-
-/**
-* Modular exponentation
-* @param b an integer base
-* @param x a positive exponent
-* @param m a positive modulus
-* @return (b^x) % m
-*/
-BigInt BOTAN_DLL power_mod(const BigInt& b,
- const BigInt& x,
- const BigInt& m);
-
-/**
-* Compute the square root of x modulo a prime using the
-* Shanks-Tonnelli algorithm
-*
-* @param x the input
-* @param p the prime
-* @return y such that (y*y)%p == x, or -1 if no such integer
-*/
-BigInt BOTAN_DLL ressol(const BigInt& x, const BigInt& p);
-
-/*
-* Compute -input^-1 mod 2^MP_WORD_BITS. Returns zero if input
-* is even. If input is odd, input and 2^n are relatively prime
-* and an inverse exists.
-*/
-word BOTAN_DLL monty_inverse(word input);
-
-/**
-* @param x a positive integer
-* @return count of the zero bits in x, or, equivalently, the largest
-* value of n such that 2^n divides x evenly. Returns zero if
-* n is less than or equal to zero.
-*/
-size_t BOTAN_DLL low_zero_bits(const BigInt& x);
-
-/**
-* Primality Testing
-* @param n a positive integer to test for primality
-* @param rng a random number generator
-* @param level how hard to test
-* @return true if all primality tests passed, otherwise false
-*/
-bool BOTAN_DLL primality_test(const BigInt& n,
- RandomNumberGenerator& rng,
- size_t level = 1);
-
-/**
-* Quickly check for primality
-* @param n a positive integer to test for primality
-* @param rng a random number generator
-* @return true if all primality tests passed, otherwise false
-*/
-inline bool quick_check_prime(const BigInt& n, RandomNumberGenerator& rng)
- { return primality_test(n, rng, 0); }
-
-/**
-* Check for primality
-* @param n a positive integer to test for primality
-* @param rng a random number generator
-* @return true if all primality tests passed, otherwise false
-*/
-inline bool check_prime(const BigInt& n, RandomNumberGenerator& rng)
- { return primality_test(n, rng, 1); }
-
-/**
-* Verify primality - this function is slow but useful if you want to
-* ensure that a possibly malicious entity did not provide you with
-* something that 'looks like' a prime
-* @param n a positive integer to test for primality
-* @param rng a random number generator
-* @return true if all primality tests passed, otherwise false
-*/
-inline bool verify_prime(const BigInt& n, RandomNumberGenerator& rng)
- { return primality_test(n, rng, 2); }
-
-/**
-* Randomly generate a prime
-* @param rng a random number generator
-* @param bits how large the resulting prime should be in bits
-* @param coprime a positive integer the result should be coprime to
-* @param equiv a non-negative number that the result should be
- equivalent to modulo equiv_mod
-* @param equiv_mod the modulus equiv should be checked against
-* @return random prime with the specified criteria
-*/
-BigInt BOTAN_DLL random_prime(RandomNumberGenerator& rng,
- size_t bits, const BigInt& coprime = 1,
- size_t equiv = 1, size_t equiv_mod = 2);
-
-/**
-* Return a 'safe' prime, of the form p=2*q+1 with q prime
-* @param rng a random number generator
-* @param bits is how long the resulting prime should be
-* @return prime randomly chosen from safe primes of length bits
-*/
-BigInt BOTAN_DLL random_safe_prime(RandomNumberGenerator& rng,
- size_t bits);
-
-class Algorithm_Factory;
-
-/**
-* Generate DSA parameters using the FIPS 186 kosherizer
-* @param rng a random number generator
-* @param af an algorithm factory
-* @param p_out where the prime p will be stored
-* @param q_out where the prime q will be stored
-* @param pbits how long p will be in bits
-* @param qbits how long q will be in bits
-* @return random seed used to generate this parameter set
-*/
-std::vector<byte> BOTAN_DLL
-generate_dsa_primes(RandomNumberGenerator& rng,
- Algorithm_Factory& af,
- BigInt& p_out, BigInt& q_out,
- size_t pbits, size_t qbits);
-
-/**
-* Generate DSA parameters using the FIPS 186 kosherizer
-* @param rng a random number generator
-* @param af an algorithm factory
-* @param p_out where the prime p will be stored
-* @param q_out where the prime q will be stored
-* @param pbits how long p will be in bits
-* @param qbits how long q will be in bits
-* @param seed the seed used to generate the parameters
-* @return true if seed generated a valid DSA parameter set, otherwise
- false. p_out and q_out are only valid if true was returned.
-*/
-bool BOTAN_DLL
-generate_dsa_primes(RandomNumberGenerator& rng,
- Algorithm_Factory& af,
- BigInt& p_out, BigInt& q_out,
- size_t pbits, size_t qbits,
- const std::vector<byte>& seed);
-
-/**
-* The size of the PRIMES[] array
-*/
-const size_t PRIME_TABLE_SIZE = 6541;
-
-/**
-* A const array of all primes less than 65535
-*/
-extern const u16bit BOTAN_DLL PRIMES[];
-
-}
-
-#endif
diff --git a/src/math/numbertheory/pow_mod.cpp b/src/math/numbertheory/pow_mod.cpp
deleted file mode 100644
index c7d7fe70e..000000000
--- a/src/math/numbertheory/pow_mod.cpp
+++ /dev/null
@@ -1,211 +0,0 @@
-/*
-* Modular Exponentiation Proxy
-* (C) 1999-2007 Jack Lloyd
-*
-* Distributed under the terms of the Botan license
-*/
-
-#include <botan/pow_mod.h>
-#include <botan/libstate.h>
-#include <botan/engine.h>
-
-namespace Botan {
-
-/*
-* Power_Mod Constructor
-*/
-Power_Mod::Power_Mod(const BigInt& n, Usage_Hints hints)
- {
- core = nullptr;
- set_modulus(n, hints);
- }
-
-/*
-* Power_Mod Copy Constructor
-*/
-Power_Mod::Power_Mod(const Power_Mod& other)
- {
- core = nullptr;
- if(other.core)
- core = other.core->copy();
- }
-
-/*
-* Power_Mod Assignment Operator
-*/
-Power_Mod& Power_Mod::operator=(const Power_Mod& other)
- {
- delete core;
- core = nullptr;
- if(other.core)
- core = other.core->copy();
- return (*this);
- }
-
-/*
-* Power_Mod Destructor
-*/
-Power_Mod::~Power_Mod()
- {
- delete core;
- }
-
-/*
-* Set the modulus
-*/
-void Power_Mod::set_modulus(const BigInt& n, Usage_Hints hints) const
- {
- delete core;
- core = nullptr;
-
- if(n != 0)
- {
- Algorithm_Factory::Engine_Iterator i(global_state().algorithm_factory());
-
- while(const Engine* engine = i.next())
- {
- core = engine->mod_exp(n, hints);
-
- if(core)
- break;
- }
-
- if(!core)
- throw Lookup_Error("Power_Mod: Unable to find a working engine");
- }
- }
-
-/*
-* Set the base
-*/
-void Power_Mod::set_base(const BigInt& b) const
- {
- if(b.is_zero() || b.is_negative())
- throw Invalid_Argument("Power_Mod::set_base: arg must be > 0");
-
- if(!core)
- throw Internal_Error("Power_Mod::set_base: core was NULL");
- core->set_base(b);
- }
-
-/*
-* Set the exponent
-*/
-void Power_Mod::set_exponent(const BigInt& e) const
- {
- if(e.is_negative())
- throw Invalid_Argument("Power_Mod::set_exponent: arg must be > 0");
-
- if(!core)
- throw Internal_Error("Power_Mod::set_exponent: core was NULL");
- core->set_exponent(e);
- }
-
-/*
-* Compute the result
-*/
-BigInt Power_Mod::execute() const
- {
- if(!core)
- throw Internal_Error("Power_Mod::execute: core was NULL");
- return core->execute();
- }
-
-/*
-* Try to choose a good window size
-*/
-size_t Power_Mod::window_bits(size_t exp_bits, size_t,
- Power_Mod::Usage_Hints hints)
- {
- static const size_t wsize[][2] = {
- { 1434, 7 },
- { 539, 6 },
- { 197, 4 },
- { 70, 3 },
- { 25, 2 },
- { 0, 0 }
- };
-
- size_t window_bits = 1;
-
- if(exp_bits)
- {
- for(size_t j = 0; wsize[j][0]; ++j)
- {
- if(exp_bits >= wsize[j][0])
- {
- window_bits += wsize[j][1];
- break;
- }
- }
- }
-
- if(hints & Power_Mod::BASE_IS_FIXED)
- window_bits += 2;
- if(hints & Power_Mod::EXP_IS_LARGE)
- ++window_bits;
-
- return window_bits;
- }
-
-namespace {
-
-/*
-* Choose potentially useful hints
-*/
-Power_Mod::Usage_Hints choose_base_hints(const BigInt& b, const BigInt& n)
- {
- if(b == 2)
- return Power_Mod::Usage_Hints(Power_Mod::BASE_IS_2 |
- Power_Mod::BASE_IS_SMALL);
-
- const size_t b_bits = b.bits();
- const size_t n_bits = n.bits();
-
- if(b_bits < n_bits / 32)
- return Power_Mod::BASE_IS_SMALL;
- if(b_bits > n_bits / 4)
- return Power_Mod::BASE_IS_LARGE;
-
- return Power_Mod::NO_HINTS;
- }
-
-/*
-* Choose potentially useful hints
-*/
-Power_Mod::Usage_Hints choose_exp_hints(const BigInt& e, const BigInt& n)
- {
- const size_t e_bits = e.bits();
- const size_t n_bits = n.bits();
-
- if(e_bits < n_bits / 32)
- return Power_Mod::BASE_IS_SMALL;
- if(e_bits > n_bits / 4)
- return Power_Mod::BASE_IS_LARGE;
- return Power_Mod::NO_HINTS;
- }
-
-}
-
-/*
-* Fixed_Exponent_Power_Mod Constructor
-*/
-Fixed_Exponent_Power_Mod::Fixed_Exponent_Power_Mod(const BigInt& e,
- const BigInt& n,
- Usage_Hints hints) :
- Power_Mod(n, Usage_Hints(hints | EXP_IS_FIXED | choose_exp_hints(e, n)))
- {
- set_exponent(e);
- }
-
-/*
-* Fixed_Base_Power_Mod Constructor
-*/
-Fixed_Base_Power_Mod::Fixed_Base_Power_Mod(const BigInt& b, const BigInt& n,
- Usage_Hints hints) :
- Power_Mod(n, Usage_Hints(hints | BASE_IS_FIXED | choose_base_hints(b, n)))
- {
- set_base(b);
- }
-
-}
diff --git a/src/math/numbertheory/pow_mod.h b/src/math/numbertheory/pow_mod.h
deleted file mode 100644
index b78510793..000000000
--- a/src/math/numbertheory/pow_mod.h
+++ /dev/null
@@ -1,104 +0,0 @@
-/*
-* Modular Exponentiator
-* (C) 1999-2007 Jack Lloyd
-*
-* Distributed under the terms of the Botan license
-*/
-
-#ifndef BOTAN_POWER_MOD_H__
-#define BOTAN_POWER_MOD_H__
-
-#include <botan/bigint.h>
-
-namespace Botan {
-
-/**
-* Modular Exponentiator Interface
-*/
-class BOTAN_DLL Modular_Exponentiator
- {
- public:
- virtual void set_base(const BigInt&) = 0;
- virtual void set_exponent(const BigInt&) = 0;
- virtual BigInt execute() const = 0;
- virtual Modular_Exponentiator* copy() const = 0;
- virtual ~Modular_Exponentiator() {}
- };
-
-/**
-* Modular Exponentiator Proxy
-*/
-class BOTAN_DLL Power_Mod
- {
- public:
-
- enum Usage_Hints {
- NO_HINTS = 0x0000,
-
- BASE_IS_FIXED = 0x0001,
- BASE_IS_SMALL = 0x0002,
- BASE_IS_LARGE = 0x0004,
- BASE_IS_2 = 0x0008,
-
- EXP_IS_FIXED = 0x0100,
- EXP_IS_SMALL = 0x0200,
- EXP_IS_LARGE = 0x0400
- };
-
- /*
- * Try to choose a good window size
- */
- static size_t window_bits(size_t exp_bits, size_t base_bits,
- Power_Mod::Usage_Hints hints);
-
- void set_modulus(const BigInt&, Usage_Hints = NO_HINTS) const;
- void set_base(const BigInt&) const;
- void set_exponent(const BigInt&) const;
-
- BigInt execute() const;
-
- Power_Mod& operator=(const Power_Mod&);
-
- Power_Mod(const BigInt& = 0, Usage_Hints = NO_HINTS);
- Power_Mod(const Power_Mod&);
- virtual ~Power_Mod();
- private:
- mutable Modular_Exponentiator* core;
- Usage_Hints hints;
- };
-
-/**
-* Fixed Exponent Modular Exponentiator Proxy
-*/
-class BOTAN_DLL Fixed_Exponent_Power_Mod : public Power_Mod
- {
- public:
- BigInt operator()(const BigInt& b) const
- { set_base(b); return execute(); }
-
- Fixed_Exponent_Power_Mod() {}
-
- Fixed_Exponent_Power_Mod(const BigInt& exponent,
- const BigInt& modulus,
- Usage_Hints hints = NO_HINTS);
- };
-
-/**
-* Fixed Base Modular Exponentiator Proxy
-*/
-class BOTAN_DLL Fixed_Base_Power_Mod : public Power_Mod
- {
- public:
- BigInt operator()(const BigInt& e) const
- { set_exponent(e); return execute(); }
-
- Fixed_Base_Power_Mod() {}
-
- Fixed_Base_Power_Mod(const BigInt& base,
- const BigInt& modulus,
- Usage_Hints hints = NO_HINTS);
- };
-
-}
-
-#endif
diff --git a/src/math/numbertheory/powm_fw.cpp b/src/math/numbertheory/powm_fw.cpp
deleted file mode 100644
index 16a48a5b0..000000000
--- a/src/math/numbertheory/powm_fw.cpp
+++ /dev/null
@@ -1,69 +0,0 @@
-/*
-* Fixed Window Exponentiation
-* (C) 1999-2007 Jack Lloyd
-*
-* Distributed under the terms of the Botan license
-*/
-
-#include <botan/internal/def_powm.h>
-#include <botan/numthry.h>
-#include <vector>
-
-namespace Botan {
-
-/*
-* Set the exponent
-*/
-void Fixed_Window_Exponentiator::set_exponent(const BigInt& e)
- {
- exp = e;
- }
-
-/*
-* Set the base
-*/
-void Fixed_Window_Exponentiator::set_base(const BigInt& base)
- {
- window_bits = Power_Mod::window_bits(exp.bits(), base.bits(), hints);
-
- g.resize((1 << window_bits));
- g[0] = 1;
- g[1] = base;
-
- for(size_t i = 2; i != g.size(); ++i)
- g[i] = reducer.multiply(g[i-1], g[0]);
- }
-
-/*
-* Compute the result
-*/
-BigInt Fixed_Window_Exponentiator::execute() const
- {
- const size_t exp_nibbles = (exp.bits() + window_bits - 1) / window_bits;
-
- BigInt x = 1;
-
- for(size_t i = exp_nibbles; i > 0; --i)
- {
- for(size_t j = 0; j != window_bits; ++j)
- x = reducer.square(x);
-
- const u32bit nibble = exp.get_substring(window_bits*(i-1), window_bits);
-
- x = reducer.multiply(x, g[nibble]);
- }
- return x;
- }
-
-/*
-* Fixed_Window_Exponentiator Constructor
-*/
-Fixed_Window_Exponentiator::Fixed_Window_Exponentiator(const BigInt& n,
- Power_Mod::Usage_Hints hints)
- {
- reducer = Modular_Reducer(n);
- this->hints = hints;
- window_bits = 0;
- }
-
-}
diff --git a/src/math/numbertheory/powm_mnt.cpp b/src/math/numbertheory/powm_mnt.cpp
deleted file mode 100644
index a3eac1f83..000000000
--- a/src/math/numbertheory/powm_mnt.cpp
+++ /dev/null
@@ -1,142 +0,0 @@
-/*
-* Montgomery Exponentiation
-* (C) 1999-2010,2012 Jack Lloyd
-*
-* Distributed under the terms of the Botan license
-*/
-
-#include <botan/internal/def_powm.h>
-#include <botan/numthry.h>
-#include <botan/internal/mp_core.h>
-
-namespace Botan {
-
-/*
-* Set the exponent
-*/
-void Montgomery_Exponentiator::set_exponent(const BigInt& exp)
- {
- m_exp = exp;
- m_exp_bits = exp.bits();
- }
-
-/*
-* Set the base
-*/
-void Montgomery_Exponentiator::set_base(const BigInt& base)
- {
- m_window_bits = Power_Mod::window_bits(m_exp.bits(), base.bits(), m_hints);
-
- m_g.resize((1 << m_window_bits));
-
- BigInt z(BigInt::Positive, 2 * (m_mod_words + 1));
- secure_vector<word> workspace(z.size());
-
- m_g[0] = 1;
-
- bigint_monty_mul(z.mutable_data(), z.size(),
- m_g[0].data(), m_g[0].size(), m_g[0].sig_words(),
- m_R2_mod.data(), m_R2_mod.size(), m_R2_mod.sig_words(),
- m_modulus.data(), m_mod_words, m_mod_prime,
- &workspace[0]);
-
- m_g[0] = z;
-
- m_g[1] = (base >= m_modulus) ? (base % m_modulus) : base;
-
- bigint_monty_mul(z.mutable_data(), z.size(),
- m_g[1].data(), m_g[1].size(), m_g[1].sig_words(),
- m_R2_mod.data(), m_R2_mod.size(), m_R2_mod.sig_words(),
- m_modulus.data(), m_mod_words, m_mod_prime,
- &workspace[0]);
-
- m_g[1] = z;
-
- const BigInt& x = m_g[1];
- const size_t x_sig = x.sig_words();
-
- for(size_t i = 2; i != m_g.size(); ++i)
- {
- const BigInt& y = m_g[i-1];
- const size_t y_sig = y.sig_words();
-
- bigint_monty_mul(z.mutable_data(), z.size(),
- x.data(), x.size(), x_sig,
- y.data(), y.size(), y_sig,
- m_modulus.data(), m_mod_words, m_mod_prime,
- &workspace[0]);
-
- m_g[i] = z;
- }
- }
-
-/*
-* Compute the result
-*/
-BigInt Montgomery_Exponentiator::execute() const
- {
- const size_t exp_nibbles = (m_exp_bits + m_window_bits - 1) / m_window_bits;
-
- BigInt x = m_R_mod;
-
- const size_t z_size = 2*(m_mod_words + 1);
-
- BigInt z(BigInt::Positive, z_size);
- secure_vector<word> workspace(z_size);
-
- for(size_t i = exp_nibbles; i > 0; --i)
- {
- for(size_t k = 0; k != m_window_bits; ++k)
- {
- bigint_monty_sqr(z.mutable_data(), z_size,
- x.data(), x.size(), x.sig_words(),
- m_modulus.data(), m_mod_words, m_mod_prime,
- &workspace[0]);
-
- x = z;
- }
-
- const u32bit nibble = m_exp.get_substring(m_window_bits*(i-1), m_window_bits);
-
- const BigInt& y = m_g[nibble];
-
- bigint_monty_mul(z.mutable_data(), z_size,
- x.data(), x.size(), x.sig_words(),
- y.data(), y.size(), y.sig_words(),
- m_modulus.data(), m_mod_words, m_mod_prime,
- &workspace[0]);
-
- x = z;
- }
-
- x.grow_to(2*m_mod_words + 1);
-
- bigint_monty_redc(x.mutable_data(),
- m_modulus.data(), m_mod_words, m_mod_prime,
- &workspace[0]);
-
- return x;
- }
-
-/*
-* Montgomery_Exponentiator Constructor
-*/
-Montgomery_Exponentiator::Montgomery_Exponentiator(const BigInt& mod,
- Power_Mod::Usage_Hints hints) :
- m_modulus(mod),
- m_mod_words(m_modulus.sig_words()),
- m_window_bits(1),
- m_hints(hints)
- {
- // Montgomery reduction only works for positive odd moduli
- if(!m_modulus.is_positive() || m_modulus.is_even())
- throw Invalid_Argument("Montgomery_Exponentiator: invalid modulus");
-
- m_mod_prime = monty_inverse(mod.word_at(0));
-
- const BigInt r = BigInt::power_of_2(m_mod_words * BOTAN_MP_WORD_BITS);
- m_R_mod = r % m_modulus;
- m_R2_mod = (m_R_mod * m_R_mod) % m_modulus;
- }
-
-}
diff --git a/src/math/numbertheory/primes.cpp b/src/math/numbertheory/primes.cpp
deleted file mode 100644
index a0c0f0093..000000000
--- a/src/math/numbertheory/primes.cpp
+++ /dev/null
@@ -1,609 +0,0 @@
-/*
-* Small Primes Table
-* (C) 1999-2007 Jack Lloyd
-*
-* Distributed under the terms of the Botan license
-*/
-
-#include <botan/numthry.h>
-
-namespace Botan {
-
-const u16bit PRIMES[PRIME_TABLE_SIZE+1] = {
- 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37,
- 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83,
- 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139,
- 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197,
- 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263,
- 269, 271, 277, 281, 283, 293, 307, 311, 313, 317, 331,
- 337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397,
- 401, 409, 419, 421, 431, 433, 439, 443, 449, 457, 461,
- 463, 467, 479, 487, 491, 499, 503, 509, 521, 523, 541,
- 547, 557, 563, 569, 571, 577, 587, 593, 599, 601, 607,
- 613, 617, 619, 631, 641, 643, 647, 653, 659, 661, 673,
- 677, 683, 691, 701, 709, 719, 727, 733, 739, 743, 751,
- 757, 761, 769, 773, 787, 797, 809, 811, 821, 823, 827,
- 829, 839, 853, 857, 859, 863, 877, 881, 883, 887, 907,
- 911, 919, 929, 937, 941, 947, 953, 967, 971, 977, 983,
- 991, 997, 1009, 1013, 1019, 1021, 1031, 1033, 1039, 1049, 1051,
- 1061, 1063, 1069, 1087, 1091, 1093, 1097, 1103, 1109, 1117, 1123,
- 1129, 1151, 1153, 1163, 1171, 1181, 1187, 1193, 1201, 1213, 1217,
- 1223, 1229, 1231, 1237, 1249, 1259, 1277, 1279, 1283, 1289, 1291,
- 1297, 1301, 1303, 1307, 1319, 1321, 1327, 1361, 1367, 1373, 1381,
- 1399, 1409, 1423, 1427, 1429, 1433, 1439, 1447, 1451, 1453, 1459,
- 1471, 1481, 1483, 1487, 1489, 1493, 1499, 1511, 1523, 1531, 1543,
- 1549, 1553, 1559, 1567, 1571, 1579, 1583, 1597, 1601, 1607, 1609,
- 1613, 1619, 1621, 1627, 1637, 1657, 1663, 1667, 1669, 1693, 1697,
- 1699, 1709, 1721, 1723, 1733, 1741, 1747, 1753, 1759, 1777, 1783,
- 1787, 1789, 1801, 1811, 1823, 1831, 1847, 1861, 1867, 1871, 1873,
- 1877, 1879, 1889, 1901, 1907, 1913, 1931, 1933, 1949, 1951, 1973,
- 1979, 1987, 1993, 1997, 1999, 2003, 2011, 2017, 2027, 2029, 2039,
- 2053, 2063, 2069, 2081, 2083, 2087, 2089, 2099, 2111, 2113, 2129,
- 2131, 2137, 2141, 2143, 2153, 2161, 2179, 2203, 2207, 2213, 2221,
- 2237, 2239, 2243, 2251, 2267, 2269, 2273, 2281, 2287, 2293, 2297,
- 2309, 2311, 2333, 2339, 2341, 2347, 2351, 2357, 2371, 2377, 2381,
- 2383, 2389, 2393, 2399, 2411, 2417, 2423, 2437, 2441, 2447, 2459,
- 2467, 2473, 2477, 2503, 2521, 2531, 2539, 2543, 2549, 2551, 2557,
- 2579, 2591, 2593, 2609, 2617, 2621, 2633, 2647, 2657, 2659, 2663,
- 2671, 2677, 2683, 2687, 2689, 2693, 2699, 2707, 2711, 2713, 2719,
- 2729, 2731, 2741, 2749, 2753, 2767, 2777, 2789, 2791, 2797, 2801,
- 2803, 2819, 2833, 2837, 2843, 2851, 2857, 2861, 2879, 2887, 2897,
- 2903, 2909, 2917, 2927, 2939, 2953, 2957, 2963, 2969, 2971, 2999,
- 3001, 3011, 3019, 3023, 3037, 3041, 3049, 3061, 3067, 3079, 3083,
- 3089, 3109, 3119, 3121, 3137, 3163, 3167, 3169, 3181, 3187, 3191,
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-52957, 52963, 52967, 52973, 52981, 52999, 53003, 53017, 53047, 53051, 53069,
-53077, 53087, 53089, 53093, 53101, 53113, 53117, 53129, 53147, 53149, 53161,
-53171, 53173, 53189, 53197, 53201, 53231, 53233, 53239, 53267, 53269, 53279,
-53281, 53299, 53309, 53323, 53327, 53353, 53359, 53377, 53381, 53401, 53407,
-53411, 53419, 53437, 53441, 53453, 53479, 53503, 53507, 53527, 53549, 53551,
-53569, 53591, 53593, 53597, 53609, 53611, 53617, 53623, 53629, 53633, 53639,
-53653, 53657, 53681, 53693, 53699, 53717, 53719, 53731, 53759, 53773, 53777,
-53783, 53791, 53813, 53819, 53831, 53849, 53857, 53861, 53881, 53887, 53891,
-53897, 53899, 53917, 53923, 53927, 53939, 53951, 53959, 53987, 53993, 54001,
-54011, 54013, 54037, 54049, 54059, 54083, 54091, 54101, 54121, 54133, 54139,
-54151, 54163, 54167, 54181, 54193, 54217, 54251, 54269, 54277, 54287, 54293,
-54311, 54319, 54323, 54331, 54347, 54361, 54367, 54371, 54377, 54401, 54403,
-54409, 54413, 54419, 54421, 54437, 54443, 54449, 54469, 54493, 54497, 54499,
-54503, 54517, 54521, 54539, 54541, 54547, 54559, 54563, 54577, 54581, 54583,
-54601, 54617, 54623, 54629, 54631, 54647, 54667, 54673, 54679, 54709, 54713,
-54721, 54727, 54751, 54767, 54773, 54779, 54787, 54799, 54829, 54833, 54851,
-54869, 54877, 54881, 54907, 54917, 54919, 54941, 54949, 54959, 54973, 54979,
-54983, 55001, 55009, 55021, 55049, 55051, 55057, 55061, 55073, 55079, 55103,
-55109, 55117, 55127, 55147, 55163, 55171, 55201, 55207, 55213, 55217, 55219,
-55229, 55243, 55249, 55259, 55291, 55313, 55331, 55333, 55337, 55339, 55343,
-55351, 55373, 55381, 55399, 55411, 55439, 55441, 55457, 55469, 55487, 55501,
-55511, 55529, 55541, 55547, 55579, 55589, 55603, 55609, 55619, 55621, 55631,
-55633, 55639, 55661, 55663, 55667, 55673, 55681, 55691, 55697, 55711, 55717,
-55721, 55733, 55763, 55787, 55793, 55799, 55807, 55813, 55817, 55819, 55823,
-55829, 55837, 55843, 55849, 55871, 55889, 55897, 55901, 55903, 55921, 55927,
-55931, 55933, 55949, 55967, 55987, 55997, 56003, 56009, 56039, 56041, 56053,
-56081, 56087, 56093, 56099, 56101, 56113, 56123, 56131, 56149, 56167, 56171,
-56179, 56197, 56207, 56209, 56237, 56239, 56249, 56263, 56267, 56269, 56299,
-56311, 56333, 56359, 56369, 56377, 56383, 56393, 56401, 56417, 56431, 56437,
-56443, 56453, 56467, 56473, 56477, 56479, 56489, 56501, 56503, 56509, 56519,
-56527, 56531, 56533, 56543, 56569, 56591, 56597, 56599, 56611, 56629, 56633,
-56659, 56663, 56671, 56681, 56687, 56701, 56711, 56713, 56731, 56737, 56747,
-56767, 56773, 56779, 56783, 56807, 56809, 56813, 56821, 56827, 56843, 56857,
-56873, 56891, 56893, 56897, 56909, 56911, 56921, 56923, 56929, 56941, 56951,
-56957, 56963, 56983, 56989, 56993, 56999, 57037, 57041, 57047, 57059, 57073,
-57077, 57089, 57097, 57107, 57119, 57131, 57139, 57143, 57149, 57163, 57173,
-57179, 57191, 57193, 57203, 57221, 57223, 57241, 57251, 57259, 57269, 57271,
-57283, 57287, 57301, 57329, 57331, 57347, 57349, 57367, 57373, 57383, 57389,
-57397, 57413, 57427, 57457, 57467, 57487, 57493, 57503, 57527, 57529, 57557,
-57559, 57571, 57587, 57593, 57601, 57637, 57641, 57649, 57653, 57667, 57679,
-57689, 57697, 57709, 57713, 57719, 57727, 57731, 57737, 57751, 57773, 57781,
-57787, 57791, 57793, 57803, 57809, 57829, 57839, 57847, 57853, 57859, 57881,
-57899, 57901, 57917, 57923, 57943, 57947, 57973, 57977, 57991, 58013, 58027,
-58031, 58043, 58049, 58057, 58061, 58067, 58073, 58099, 58109, 58111, 58129,
-58147, 58151, 58153, 58169, 58171, 58189, 58193, 58199, 58207, 58211, 58217,
-58229, 58231, 58237, 58243, 58271, 58309, 58313, 58321, 58337, 58363, 58367,
-58369, 58379, 58391, 58393, 58403, 58411, 58417, 58427, 58439, 58441, 58451,
-58453, 58477, 58481, 58511, 58537, 58543, 58549, 58567, 58573, 58579, 58601,
-58603, 58613, 58631, 58657, 58661, 58679, 58687, 58693, 58699, 58711, 58727,
-58733, 58741, 58757, 58763, 58771, 58787, 58789, 58831, 58889, 58897, 58901,
-58907, 58909, 58913, 58921, 58937, 58943, 58963, 58967, 58979, 58991, 58997,
-59009, 59011, 59021, 59023, 59029, 59051, 59053, 59063, 59069, 59077, 59083,
-59093, 59107, 59113, 59119, 59123, 59141, 59149, 59159, 59167, 59183, 59197,
-59207, 59209, 59219, 59221, 59233, 59239, 59243, 59263, 59273, 59281, 59333,
-59341, 59351, 59357, 59359, 59369, 59377, 59387, 59393, 59399, 59407, 59417,
-59419, 59441, 59443, 59447, 59453, 59467, 59471, 59473, 59497, 59509, 59513,
-59539, 59557, 59561, 59567, 59581, 59611, 59617, 59621, 59627, 59629, 59651,
-59659, 59663, 59669, 59671, 59693, 59699, 59707, 59723, 59729, 59743, 59747,
-59753, 59771, 59779, 59791, 59797, 59809, 59833, 59863, 59879, 59887, 59921,
-59929, 59951, 59957, 59971, 59981, 59999, 60013, 60017, 60029, 60037, 60041,
-60077, 60083, 60089, 60091, 60101, 60103, 60107, 60127, 60133, 60139, 60149,
-60161, 60167, 60169, 60209, 60217, 60223, 60251, 60257, 60259, 60271, 60289,
-60293, 60317, 60331, 60337, 60343, 60353, 60373, 60383, 60397, 60413, 60427,
-60443, 60449, 60457, 60493, 60497, 60509, 60521, 60527, 60539, 60589, 60601,
-60607, 60611, 60617, 60623, 60631, 60637, 60647, 60649, 60659, 60661, 60679,
-60689, 60703, 60719, 60727, 60733, 60737, 60757, 60761, 60763, 60773, 60779,
-60793, 60811, 60821, 60859, 60869, 60887, 60889, 60899, 60901, 60913, 60917,
-60919, 60923, 60937, 60943, 60953, 60961, 61001, 61007, 61027, 61031, 61043,
-61051, 61057, 61091, 61099, 61121, 61129, 61141, 61151, 61153, 61169, 61211,
-61223, 61231, 61253, 61261, 61283, 61291, 61297, 61331, 61333, 61339, 61343,
-61357, 61363, 61379, 61381, 61403, 61409, 61417, 61441, 61463, 61469, 61471,
-61483, 61487, 61493, 61507, 61511, 61519, 61543, 61547, 61553, 61559, 61561,
-61583, 61603, 61609, 61613, 61627, 61631, 61637, 61643, 61651, 61657, 61667,
-61673, 61681, 61687, 61703, 61717, 61723, 61729, 61751, 61757, 61781, 61813,
-61819, 61837, 61843, 61861, 61871, 61879, 61909, 61927, 61933, 61949, 61961,
-61967, 61979, 61981, 61987, 61991, 62003, 62011, 62017, 62039, 62047, 62053,
-62057, 62071, 62081, 62099, 62119, 62129, 62131, 62137, 62141, 62143, 62171,
-62189, 62191, 62201, 62207, 62213, 62219, 62233, 62273, 62297, 62299, 62303,
-62311, 62323, 62327, 62347, 62351, 62383, 62401, 62417, 62423, 62459, 62467,
-62473, 62477, 62483, 62497, 62501, 62507, 62533, 62539, 62549, 62563, 62581,
-62591, 62597, 62603, 62617, 62627, 62633, 62639, 62653, 62659, 62683, 62687,
-62701, 62723, 62731, 62743, 62753, 62761, 62773, 62791, 62801, 62819, 62827,
-62851, 62861, 62869, 62873, 62897, 62903, 62921, 62927, 62929, 62939, 62969,
-62971, 62981, 62983, 62987, 62989, 63029, 63031, 63059, 63067, 63073, 63079,
-63097, 63103, 63113, 63127, 63131, 63149, 63179, 63197, 63199, 63211, 63241,
-63247, 63277, 63281, 63299, 63311, 63313, 63317, 63331, 63337, 63347, 63353,
-63361, 63367, 63377, 63389, 63391, 63397, 63409, 63419, 63421, 63439, 63443,
-63463, 63467, 63473, 63487, 63493, 63499, 63521, 63527, 63533, 63541, 63559,
-63577, 63587, 63589, 63599, 63601, 63607, 63611, 63617, 63629, 63647, 63649,
-63659, 63667, 63671, 63689, 63691, 63697, 63703, 63709, 63719, 63727, 63737,
-63743, 63761, 63773, 63781, 63793, 63799, 63803, 63809, 63823, 63839, 63841,
-63853, 63857, 63863, 63901, 63907, 63913, 63929, 63949, 63977, 63997, 64007,
-64013, 64019, 64033, 64037, 64063, 64067, 64081, 64091, 64109, 64123, 64151,
-64153, 64157, 64171, 64187, 64189, 64217, 64223, 64231, 64237, 64271, 64279,
-64283, 64301, 64303, 64319, 64327, 64333, 64373, 64381, 64399, 64403, 64433,
-64439, 64451, 64453, 64483, 64489, 64499, 64513, 64553, 64567, 64577, 64579,
-64591, 64601, 64609, 64613, 64621, 64627, 64633, 64661, 64663, 64667, 64679,
-64693, 64709, 64717, 64747, 64763, 64781, 64783, 64793, 64811, 64817, 64849,
-64853, 64871, 64877, 64879, 64891, 64901, 64919, 64921, 64927, 64937, 64951,
-64969, 64997, 65003, 65011, 65027, 65029, 65033, 65053, 65063, 65071, 65089,
-65099, 65101, 65111, 65119, 65123, 65129, 65141, 65147, 65167, 65171, 65173,
-65179, 65183, 65203, 65213, 65239, 65257, 65267, 65269, 65287, 65293, 65309,
-65323, 65327, 65353, 65357, 65371, 65381, 65393, 65407, 65413, 65419, 65423,
-65437, 65447, 65449, 65479, 65497, 65519, 65521, 0 };
-
-}
diff --git a/src/math/numbertheory/reducer.cpp b/src/math/numbertheory/reducer.cpp
deleted file mode 100644
index 8e8951c46..000000000
--- a/src/math/numbertheory/reducer.cpp
+++ /dev/null
@@ -1,81 +0,0 @@
-/*
-* Modular Reducer
-* (C) 1999-2011 Jack Lloyd
-*
-* Distributed under the terms of the Botan license
-*/
-
-#include <botan/reducer.h>
-#include <botan/internal/mp_core.h>
-
-namespace Botan {
-
-/*
-* Modular_Reducer Constructor
-*/
-Modular_Reducer::Modular_Reducer(const BigInt& mod)
- {
- if(mod <= 0)
- throw Invalid_Argument("Modular_Reducer: modulus must be positive");
-
- modulus = mod;
- mod_words = modulus.sig_words();
-
- modulus_2 = Botan::square(modulus);
-
- mu = BigInt::power_of_2(2 * MP_WORD_BITS * mod_words) / modulus;
- }
-
-/*
-* Barrett Reduction
-*/
-BigInt Modular_Reducer::reduce(const BigInt& x) const
- {
- if(mod_words == 0)
- throw Invalid_State("Modular_Reducer: Never initalized");
-
- if(x.cmp(modulus, false) < 0)
- {
- if(x.is_negative())
- return x + modulus; // make positive
- return x;
- }
- else if(x.cmp(modulus_2, false) < 0)
- {
- BigInt t1 = x;
- t1.set_sign(BigInt::Positive);
- t1 >>= (MP_WORD_BITS * (mod_words - 1));
- t1 *= mu;
-
- t1 >>= (MP_WORD_BITS * (mod_words + 1));
- t1 *= modulus;
-
- t1.mask_bits(MP_WORD_BITS * (mod_words + 1));
-
- BigInt t2 = x;
- t2.set_sign(BigInt::Positive);
- t2.mask_bits(MP_WORD_BITS * (mod_words + 1));
-
- t2 -= t1;
-
- if(t2.is_negative())
- {
- t2 += BigInt::power_of_2(MP_WORD_BITS * (mod_words + 1));
- }
-
- while(t2 >= modulus)
- t2 -= modulus;
-
- if(x.is_positive())
- return t2;
- else
- return (modulus - t2);
- }
- else
- {
- // too big, fall back to normal division
- return (x % modulus);
- }
- }
-
-}
diff --git a/src/math/numbertheory/reducer.h b/src/math/numbertheory/reducer.h
deleted file mode 100644
index 76712074c..000000000
--- a/src/math/numbertheory/reducer.h
+++ /dev/null
@@ -1,61 +0,0 @@
-/*
-* Modular Reducer
-* (C) 1999-2010 Jack Lloyd
-*
-* Distributed under the terms of the Botan license
-*/
-
-#ifndef BOTAN_MODULAR_REDUCER_H__
-#define BOTAN_MODULAR_REDUCER_H__
-
-#include <botan/numthry.h>
-
-namespace Botan {
-
-/**
-* Modular Reducer (using Barrett's technique)
-*/
-class BOTAN_DLL Modular_Reducer
- {
- public:
- const BigInt& get_modulus() const { return modulus; }
-
- BigInt reduce(const BigInt& x) const;
-
- /**
- * Multiply mod p
- * @param x
- * @param y
- * @return (x * y) % p
- */
- BigInt multiply(const BigInt& x, const BigInt& y) const
- { return reduce(x * y); }
-
- /**
- * Square mod p
- * @param x
- * @return (x * x) % p
- */
- BigInt square(const BigInt& x) const
- { return reduce(Botan::square(x)); }
-
- /**
- * Cube mod p
- * @param x
- * @return (x * x * x) % p
- */
- BigInt cube(const BigInt& x) const
- { return multiply(x, this->square(x)); }
-
- bool initialized() const { return (mod_words != 0); }
-
- Modular_Reducer() { mod_words = 0; }
- Modular_Reducer(const BigInt& mod);
- private:
- BigInt modulus, modulus_2, mu;
- size_t mod_words;
- };
-
-}
-
-#endif
diff --git a/src/math/numbertheory/ressol.cpp b/src/math/numbertheory/ressol.cpp
deleted file mode 100644
index 9c48187f4..000000000
--- a/src/math/numbertheory/ressol.cpp
+++ /dev/null
@@ -1,81 +0,0 @@
-/*
-* Shanks-Tonnelli (RESSOL)
-* (C) 2007-2008 Falko Strenzke, FlexSecure GmbH
-* (C) 2008 Jack Lloyd
-*
-* Distributed under the terms of the Botan license
-*/
-
-#include <botan/numthry.h>
-#include <botan/reducer.h>
-
-namespace Botan {
-
-/*
-* Shanks-Tonnelli algorithm
-*/
-BigInt ressol(const BigInt& a, const BigInt& p)
- {
- if(a < 0)
- throw Invalid_Argument("ressol(): a to solve for must be positive");
- if(p <= 1)
- throw Invalid_Argument("ressol(): prime must be > 1");
-
- if(a == 0)
- return 0;
- if(p == 2)
- return a;
-
- if(jacobi(a, p) != 1) // not a quadratic residue
- return -BigInt(1);
-
- if(p % 4 == 3)
- return power_mod(a, ((p+1) >> 2), p);
-
- size_t s = low_zero_bits(p - 1);
- BigInt q = p >> s;
-
- q -= 1;
- q >>= 1;
-
- Modular_Reducer mod_p(p);
-
- BigInt r = power_mod(a, q, p);
- BigInt n = mod_p.multiply(a, mod_p.square(r));
- r = mod_p.multiply(r, a);
-
- if(n == 1)
- return r;
-
- // find random non quadratic residue z
- BigInt z = 2;
- while(jacobi(z, p) == 1) // while z quadratic residue
- ++z;
-
- BigInt c = power_mod(z, (q << 1) + 1, p);
-
- while(n > 1)
- {
- q = n;
-
- size_t i = 0;
- while(q != 1)
- {
- q = mod_p.square(q);
- ++i;
- }
-
- if(s <= i)
- return -BigInt(1);
-
- c = power_mod(c, BigInt::power_of_2(s-i-1), p);
- r = mod_p.multiply(r, c);
- c = mod_p.square(c);
- n = mod_p.multiply(n, c);
- s = i;
- }
-
- return r;
- }
-
-}