diff options
Diffstat (limited to 'src/libs/3rdparty/botan/src/lib/math')
44 files changed, 0 insertions, 14265 deletions
diff --git a/src/libs/3rdparty/botan/src/lib/math/bigint/big_code.cpp b/src/libs/3rdparty/botan/src/lib/math/bigint/big_code.cpp deleted file mode 100644 index 8fd528a1468..00000000000 --- a/src/libs/3rdparty/botan/src/lib/math/bigint/big_code.cpp +++ /dev/null @@ -1,208 +0,0 @@ -/* -* BigInt Encoding/Decoding -* (C) 1999-2010,2012 Jack Lloyd -* -* Botan is released under the Simplified BSD License (see license.txt) -*/ - -#include <botan/bigint.h> -#include <botan/divide.h> -#include <botan/charset.h> -#include <botan/hex.h> - -namespace Botan { - -std::string BigInt::to_dec_string() const - { - BigInt copy = *this; - copy.set_sign(Positive); - - BigInt remainder; - std::vector<uint8_t> digits; - - while(copy > 0) - { - divide(copy, 10, copy, remainder); - digits.push_back(static_cast<uint8_t>(remainder.word_at(0))); - } - - std::string s; - - for(auto i = digits.rbegin(); i != digits.rend(); ++i) - { - s.push_back(Charset::digit2char(*i)); - } - - if(s.empty()) - s += "0"; - - return s; - } - -std::string BigInt::to_hex_string() const - { - const std::vector<uint8_t> bits = BigInt::encode(*this); - if(bits.empty()) - return "00"; - else - return hex_encode(bits); - } - -/* -* Encode a BigInt -*/ -void BigInt::encode(uint8_t output[], const BigInt& n, Base base) - { - if(base == Binary) - { - n.binary_encode(output); - } - else if(base == Hexadecimal) - { - secure_vector<uint8_t> binary(n.encoded_size(Binary)); - n.binary_encode(binary.data()); - - hex_encode(cast_uint8_ptr_to_char(output), - binary.data(), 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<uint8_t>(remainder.word_at(0))); - if(copy.is_zero()) - break; - } - } - else - throw Invalid_Argument("Unknown BigInt encoding method"); - } - -/* -* Encode a BigInt -*/ -std::vector<uint8_t> BigInt::encode(const BigInt& n, Base base) - { - if(base == Binary) - return BigInt::encode(n); - - std::vector<uint8_t> output(n.encoded_size(base)); - encode(output.data(), n, base); - for(size_t j = 0; j != output.size(); ++j) - if(output[j] == 0) - output[j] = '0'; - - return output; - } - -/* -* Encode a BigInt -*/ -secure_vector<uint8_t> BigInt::encode_locked(const BigInt& n, Base base) - { - if(base == Binary) - return BigInt::encode_locked(n); - - secure_vector<uint8_t> output(n.encoded_size(base)); - encode(output.data(), n, base); - 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<uint8_t> BigInt::encode_1363(const BigInt& n, size_t bytes) - { - secure_vector<uint8_t> output(bytes); - BigInt::encode_1363(output.data(), output.size(), n); - return output; - } - -//static -void BigInt::encode_1363(uint8_t output[], size_t bytes, const BigInt& n) - { - 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; - encode(&output[leading_0s], n, Binary); - } - -/* -* Encode two BigInt, with leading 0s if needed, and concatenate -*/ -secure_vector<uint8_t> BigInt::encode_fixed_length_int_pair(const BigInt& n1, const BigInt& n2, size_t bytes) - { - secure_vector<uint8_t> output(2 * bytes); - BigInt::encode_1363(output.data(), bytes, n1); - BigInt::encode_1363(output.data() + bytes, bytes, n2); - return output; - } - -/* -* Decode a BigInt -*/ -BigInt BigInt::decode(const uint8_t buf[], size_t length, Base base) - { - BigInt r; - if(base == Binary) - r.binary_decode(buf, length); - else if(base == Hexadecimal) - { - secure_vector<uint8_t> 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(cast_uint8_ptr_to_char(&buf[1]), - length - 1, - false); - } - else - binary = hex_decode_locked(cast_uint8_ptr_to_char(buf), - length, false); - - r.binary_decode(binary.data(), 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 uint8_t 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/libs/3rdparty/botan/src/lib/math/bigint/big_io.cpp b/src/libs/3rdparty/botan/src/lib/math/bigint/big_io.cpp deleted file mode 100644 index 803e1cc4ae1..00000000000 --- a/src/libs/3rdparty/botan/src/lib/math/bigint/big_io.cpp +++ /dev/null @@ -1,56 +0,0 @@ -/* -* BigInt Input/Output -* (C) 1999-2007 Jack Lloyd -* -* Botan is released under the Simplified BSD License (see license.txt) -*/ - -#include <botan/bigint.h> -#include <istream> -#include <ostream> - -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 Exception("Octal output of BigInt not supported"); - - if(n == 0) - stream.write("0", 1); - else - { - if(n < 0) - stream.write("-", 1); - const std::vector<uint8_t> buffer = BigInt::encode(n, base); - size_t skip = 0; - while(skip < buffer.size() && buffer[skip] == '0') - ++skip; - stream.write(cast_uint8_ptr_to_char(buffer.data()) + 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/libs/3rdparty/botan/src/lib/math/bigint/big_ops2.cpp b/src/libs/3rdparty/botan/src/lib/math/bigint/big_ops2.cpp deleted file mode 100644 index bd107f33ad7..00000000000 --- a/src/libs/3rdparty/botan/src/lib/math/bigint/big_ops2.cpp +++ /dev/null @@ -1,382 +0,0 @@ -/* -* (C) 1999-2007,2018 Jack Lloyd -* 2016 Matthias Gierlings -* -* Botan is released under the Simplified BSD License (see license.txt) -*/ - -#include <botan/bigint.h> -#include <botan/internal/mp_core.h> -#include <botan/internal/bit_ops.h> -#include <algorithm> - -namespace Botan { - -BigInt& BigInt::add(const word y[], size_t y_sw, Sign y_sign) - { - const size_t x_sw = sig_words(); - - if(sign() == y_sign) - { - const size_t reg_size = std::max(x_sw, y_sw) + 1; - - if(m_reg.size() < reg_size) - grow_to(reg_size); - - bigint_add2(mutable_data(), reg_size - 1, y, y_sw); - } - else - { - const int32_t relative_size = bigint_cmp(data(), x_sw, y, y_sw); - - if(relative_size < 0) - { - const size_t reg_size = std::max(x_sw, y_sw); - grow_to(reg_size); - bigint_sub2_rev(mutable_data(), y, y_sw); - 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, y_sw); - } - } - - return (*this); - } - -BigInt& BigInt::operator+=(const BigInt& y) - { - return add(y.data(), y.sig_words(), y.sign()); - } - -BigInt& BigInt::operator+=(word y) - { - return add(&y, 1, Positive); - } - -BigInt& BigInt::sub(const word y[], size_t y_sw, Sign y_sign) - { - const size_t x_sw = sig_words(); - - int32_t relative_size = bigint_cmp(data(), x_sw, y, 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, y_sw); - else - bigint_add2(mutable_data(), reg_size - 1, y, y_sw); - - set_sign(y_sign == Positive ? Negative : Positive); - } - 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, y_sw); - else - bigint_add2(mutable_data(), reg_size - 1, y, y_sw); - } - - return (*this); - } - -BigInt& BigInt::operator-=(const BigInt& y) - { - return sub(y.data(), y.sig_words(), y.sign()); - } - -BigInt& BigInt::operator-=(word y) - { - return sub(&y, 1, Positive); - } - -BigInt& BigInt::mod_add(const BigInt& s, const BigInt& mod, secure_vector<word>& ws) - { - if(this->is_negative() || s.is_negative() || mod.is_negative()) - throw Invalid_Argument("BigInt::mod_add expects all arguments are positive"); - - // TODO add optimized version of this - *this += s; - this->reduce_below(mod, ws); - - return (*this); - } - -BigInt& BigInt::mod_sub(const BigInt& s, const BigInt& mod, secure_vector<word>& ws) - { - if(this->is_negative() || s.is_negative() || mod.is_negative()) - throw Invalid_Argument("BigInt::mod_sub expects all arguments are positive"); - - const size_t t_sw = sig_words(); - const size_t s_sw = s.sig_words(); - const size_t mod_sw = mod.sig_words(); - - if(t_sw > mod_sw || s_sw > mod_sw) - throw Invalid_Argument("BigInt::mod_sub args larger than modulus"); - - BOTAN_DEBUG_ASSERT(*this < mod); - BOTAN_DEBUG_ASSERT(s < mod); - - int32_t relative_size = bigint_cmp(data(), t_sw, s.data(), s_sw); - - if(relative_size >= 0) - { - // this >= s in which case just subtract - bigint_sub2(mutable_data(), t_sw, s.data(), s_sw); - } - else - { - // Otherwise we must sub s and then add p (or add (p - s) as here) - - if(ws.size() < mod_sw) - ws.resize(mod_sw); - - word borrow = bigint_sub3(ws.data(), mod.data(), mod_sw, s.data(), s_sw); - BOTAN_ASSERT_NOMSG(borrow == 0); - - if(m_reg.size() < mod_sw) - grow_to(mod_sw); - - word carry = bigint_add2_nc(mutable_data(), m_reg.size(), ws.data(), mod_sw); - BOTAN_ASSERT_NOMSG(carry == 0); - } - - return (*this); - } - -BigInt& BigInt::rev_sub(const word y[], size_t y_sw, secure_vector<word>& ws) - { - /* - *this = BigInt(y, y_sw) - *this; - return *this; - */ - if(this->sign() != BigInt::Positive) - throw Invalid_State("BigInt::sub_rev requires this is positive"); - - const size_t x_sw = this->sig_words(); - - const int32_t relative_size = bigint_cmp(y, y_sw, this->data(), x_sw); - - ws.resize(std::max(y_sw, x_sw) + 1); - clear_mem(ws.data(), ws.size()); - - if(relative_size < 0) - { - bigint_sub3(ws.data(), this->data(), x_sw, y, y_sw); - this->flip_sign(); - } - else if(relative_size == 0) - { - ws.clear(); - } - else if(relative_size > 0) - { - bigint_sub3(ws.data(), y, y_sw, this->data(), x_sw); - } - - m_reg.swap(ws); - - return (*this); - } - -/* -* Multiplication Operator -*/ -BigInt& BigInt::operator*=(const BigInt& y) - { - secure_vector<word> ws; - return this->mul(y, ws); - } - -BigInt& BigInt::mul(const BigInt& y, secure_vector<word>& ws) - { - const size_t x_sw = sig_words(); - const size_t 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 + 1); - bigint_linmul3(mutable_data(), y.data(), y_sw, word_at(0)); - } - else if(y_sw == 1 && x_sw) - { - grow_to(x_sw + 1); - bigint_linmul2(mutable_data(), x_sw, y.word_at(0)); - } - else - { - const size_t new_size = x_sw + y_sw + 1; - ws.resize(new_size); - secure_vector<word> z_reg(new_size); - - bigint_mul(z_reg.data(), z_reg.size(), - data(), size(), x_sw, - y.data(), y.size(), y_sw, - ws.data(), ws.size()); - - z_reg.swap(m_reg); - } - - return (*this); - } - -BigInt& BigInt::square(secure_vector<word>& ws) - { - const size_t sw = sig_words(); - - secure_vector<word> z(2*sw); - ws.resize(z.size()); - - bigint_sqr(z.data(), z.size(), - data(), size(), sw, - ws.data(), ws.size()); - - swap_reg(z); - set_sign(BigInt::Positive); - - return (*this); - } - -BigInt& BigInt::operator*=(word y) - { - if(y == 0) - { - clear(); - set_sign(Positive); - } - - const size_t x_sw = sig_words(); - - if(size() < x_sw + 1) - grow_to(x_sw + 1); - bigint_linmul2(mutable_data(), x_sw, y); - - 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 / BOTAN_MP_WORD_BITS, - shift_bits = shift % BOTAN_MP_WORD_BITS, - words = sig_words(); - - /* - * FIXME - if shift_words == 0 && the top shift_bits of the top word - * are zero then we know that no additional word is needed and can - * skip the allocation. - */ - const size_t needed_size = words + shift_words + (shift_bits ? 1 : 0); - - if(m_reg.size() < needed_size) - grow_to(needed_size); - - 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 / BOTAN_MP_WORD_BITS, - shift_bits = shift % BOTAN_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/libs/3rdparty/botan/src/lib/math/bigint/big_ops3.cpp b/src/libs/3rdparty/botan/src/lib/math/bigint/big_ops3.cpp deleted file mode 100644 index 3f34e0bf15e..00000000000 --- a/src/libs/3rdparty/botan/src/lib/math/bigint/big_ops3.cpp +++ /dev/null @@ -1,237 +0,0 @@ -/* -* BigInt Binary Operators -* (C) 1999-2007 Jack Lloyd -* 2016 Matthias Gierlings -* -* Botan is released under the Simplified BSD License (see license.txt) -*/ - -#include <botan/bigint.h> -#include <botan/divide.h> -#include <botan/internal/mp_core.h> -#include <botan/internal/bit_ops.h> -#include <algorithm> - -namespace Botan { - -namespace { - -BigInt bigint_add(const BigInt& x, const word y[], size_t y_sw, BigInt::Sign y_sign) - { - const size_t x_sw = x.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, y_sw); - else - { - int32_t relative_size = bigint_cmp(x.data(), x_sw, y, y_sw); - - if(relative_size < 0) - { - bigint_sub3(z.mutable_data(), y, 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, y_sw); - } - - return z; - } - -BigInt bigint_sub(const BigInt& x, const word y[], size_t y_sw, BigInt::Sign y_sign) - { - const size_t x_sw = x.sig_words(); - - int32_t relative_size = bigint_cmp(x.data(), x_sw, y, 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, y_sw, x.data(), x_sw); - else - bigint_add3(z.mutable_data(), x.data(), x_sw, y, y_sw); - z.set_sign(y_sign == BigInt::Positive ? BigInt::Negative : BigInt::Positive); - } - else if(relative_size == 0) - { - if(x.sign() != y_sign) - bigint_shl2(z.mutable_data(), x.data(), x_sw, 0, 1); - z.set_sign(y_sign == BigInt::Positive ? BigInt::Negative : BigInt::Positive); - } - else if(relative_size > 0) - { - if(x.sign() == y_sign) - bigint_sub3(z.mutable_data(), x.data(), x_sw, y, y_sw); - else - bigint_add3(z.mutable_data(), x.data(), x_sw, y, y_sw); - z.set_sign(x.sign()); - } - return z; - } - -} - -BigInt operator+(const BigInt& x, const BigInt& y) - { - return bigint_add(x, y.data(), y.sig_words(), y.sign()); - } - -BigInt operator+(const BigInt& x, word y) - { - return bigint_add(x, &y, 1, BigInt::Positive); - } - -BigInt operator-(const BigInt& x, const BigInt& y) - { - return bigint_sub(x, y.data(), y.sig_words(), y.sign()); - } - -BigInt operator-(const BigInt& x, word y) - { - return bigint_sub(x, &y, 1, BigInt::Positive); - } - -/* -* 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(), - x.data(), x.size(), x_sw, - y.data(), y.size(), y_sw, - workspace.data(), workspace.size()); - } - - if(x_sw && y_sw && x.sign() != y.sign()) - z.flip_sign(); - return z; - } - -/* -* Multiplication Operator -*/ -BigInt operator*(const BigInt& x, word y) - { - const size_t x_sw = x.sig_words(); - - BigInt z(BigInt::Positive, x_sw + 1); - - if(x_sw && y) - { - bigint_linmul3(z.mutable_data(), x.data(), x_sw, y); - z.set_sign(x.sign()); - } - - return z; - } - -/* -* Division Operator -*/ -BigInt operator/(const BigInt& x, const BigInt& y) - { - if(y.sig_words() == 1 && is_power_of_2(y.word_at(0))) - return (x >> (y.bits() - 1)); - - 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(mod == 1) - return 0; - - 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 / BOTAN_MP_WORD_BITS, - shift_bits = shift % BOTAN_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 / BOTAN_MP_WORD_BITS, - shift_bits = shift % BOTAN_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/libs/3rdparty/botan/src/lib/math/bigint/big_rand.cpp b/src/libs/3rdparty/botan/src/lib/math/bigint/big_rand.cpp deleted file mode 100644 index dd4cb5eaba3..00000000000 --- a/src/libs/3rdparty/botan/src/lib/math/bigint/big_rand.cpp +++ /dev/null @@ -1,64 +0,0 @@ -/* -* BigInt Random Generation -* (C) 1999-2007 Jack Lloyd -* -* Botan is released under the Simplified BSD License (see license.txt) -*/ - -#include <botan/bigint.h> -#include <botan/rng.h> -#include <botan/internal/rounding.h> - -namespace Botan { - -/* -* Randomize this number -*/ -void BigInt::randomize(RandomNumberGenerator& rng, - size_t bitsize, bool set_high_bit) - { - set_sign(Positive); - - if(bitsize == 0) - { - clear(); - } - else - { - secure_vector<uint8_t> array = rng.random_vec(round_up(bitsize, 8) / 8); - - // Always cut unwanted bits - if(bitsize % 8) - array[0] &= 0xFF >> (8 - (bitsize % 8)); - - // Set the highest bit if wanted - if (set_high_bit) - array[0] |= 0x80 >> ((bitsize % 8) ? (8 - bitsize % 8) : 0); - - binary_decode(array); - } - } - -/* -* Generate a random integer within given range -*/ -BigInt BigInt::random_integer(RandomNumberGenerator& rng, - const BigInt& min, const BigInt& max) - { - if(min.is_negative() || max.is_negative() || max <= min) - throw Invalid_Argument("BigInt::random_integer invalid range"); - - BigInt r; - - const size_t bits = max.bits(); - - do - { - r.randomize(rng, bits, false); - } - while(r < min || r >= max); - - return r; - } - -} diff --git a/src/libs/3rdparty/botan/src/lib/math/bigint/bigint.cpp b/src/libs/3rdparty/botan/src/lib/math/bigint/bigint.cpp deleted file mode 100644 index 36f1d2883dd..00000000000 --- a/src/libs/3rdparty/botan/src/lib/math/bigint/bigint.cpp +++ /dev/null @@ -1,397 +0,0 @@ -/* -* BigInt Base -* (C) 1999-2011,2012,2014 Jack Lloyd -* -* Botan is released under the Simplified BSD License (see license.txt) -*/ - -#include <botan/bigint.h> -#include <botan/internal/mp_core.h> -#include <botan/internal/rounding.h> -#include <botan/internal/bit_ops.h> -#include <botan/internal/ct_utils.h> - -namespace Botan { - -BigInt::BigInt(const word words[], size_t length) - { - m_reg.assign(words, words + length); - } - -/* -* Construct a BigInt from a regular number -*/ -BigInt::BigInt(uint64_t n) - { - if(n == 0) - return; - - const size_t limbs_needed = sizeof(uint64_t) / sizeof(word); - - m_reg.resize(limbs_needed); - for(size_t i = 0; i != limbs_needed; ++i) - m_reg[i] = ((n >> (i*BOTAN_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, 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(cast_char_ptr_to_uint8(str.data()) + markers, - str.length() - markers, base); - - if(negative) set_sign(Negative); - else set_sign(Positive); - } - -BigInt::BigInt(const uint8_t input[], size_t length) - { - binary_decode(input, length); - } - -/* -* Construct a BigInt from an encoded BigInt -*/ -BigInt::BigInt(const uint8_t input[], size_t length, Base base) - { - *this = decode(input, length, base); - } - -BigInt::BigInt(const uint8_t buf[], size_t length, size_t max_bits) - { - const size_t max_bytes = std::min(length, (max_bits + 7) / 8); - binary_decode(buf, max_bytes); - - const size_t b = this->bits(); - if(b > max_bits) - { - *this >>= (b - max_bits); - } - } - -/* -* Construct a BigInt from an encoded BigInt -*/ -BigInt::BigInt(RandomNumberGenerator& rng, size_t bits, bool set_high_bit) - { - randomize(rng, bits, set_high_bit); - } - -int32_t BigInt::cmp_word(word other) const - { - if(is_negative()) - return -1; // other is positive ... - - const size_t sw = this->sig_words(); - if(sw > 1) - return 1; // must be larger since other is just one word ... - - return bigint_cmp(this->data(), sw, &other, 1); - } - -/* -* Comparison Function -*/ -int32_t 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()); - } - -void BigInt::encode_words(word out[], size_t size) const - { - const size_t words = sig_words(); - - if(words > size) - throw Encoding_Error("BigInt::encode_words value too large to encode"); - - clear_mem(out, size); - copy_mem(out, data(), words); - } - -/* -* Return bits {offset...offset+length} -*/ -uint32_t BigInt::get_substring(size_t offset, size_t length) const - { - if(length == 0 || length > 32) - throw Invalid_Argument("BigInt::get_substring invalid substring length"); - - const size_t byte_offset = offset / 8; - const size_t shift = (offset % 8); - const uint32_t mask = 0xFFFFFFFF >> (32 - length); - - const uint8_t b0 = byte_at(byte_offset); - const uint8_t b1 = byte_at(byte_offset + 1); - const uint8_t b2 = byte_at(byte_offset + 2); - const uint8_t b3 = byte_at(byte_offset + 3); - const uint8_t b4 = byte_at(byte_offset + 4); - const uint64_t piece = make_uint64(0, 0, 0, b4, b3, b2, b1, b0); - - return static_cast<uint32_t>((piece >> shift) & mask); - } - -/* -* Convert this number to a uint32_t, if possible -*/ -uint32_t 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"); - - uint32_t out = 0; - for(size_t i = 0; i != 4; ++i) - out = (out << 8) | byte_at(3-i); - return out; - } - -/* -* Set bit number n -*/ -void BigInt::set_bit(size_t n) - { - const size_t which = n / BOTAN_MP_WORD_BITS; - const word mask = static_cast<word>(1) << (n % BOTAN_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 / BOTAN_MP_WORD_BITS; - const word mask = static_cast<word>(1) << (n % BOTAN_MP_WORD_BITS); - if(which < size()) - m_reg[which] &= ~mask; - } - -size_t BigInt::bytes() const - { - return round_up(bits(), 8) / 8; - } - -/* -* Count how many bits are being used -*/ -size_t BigInt::bits() const - { - const size_t words = sig_words(); - - if(words == 0) - return 0; - - const size_t full_words = words - 1; - return (full_words * BOTAN_MP_WORD_BITS + high_bit(word_at(full_words))); - } - -/* -* 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"); - } - -/* -* Return the negation of this number -*/ -BigInt BigInt::operator-() const - { - BigInt x = (*this); - x.flip_sign(); - return x; - } - -void BigInt::reduce_below(const BigInt& p, secure_vector<word>& ws) - { - if(p.is_negative()) - throw Invalid_Argument("BigInt::reduce_below mod must be positive"); - - const size_t p_words = p.sig_words(); - - if(size() < p_words + 1) - grow_to(p_words + 1); - - if(ws.size() < p_words + 1) - ws.resize(p_words + 1); - - clear_mem(ws.data(), ws.size()); - - for(;;) - { - word borrow = bigint_sub3(ws.data(), data(), p_words + 1, p.data(), p_words); - - if(borrow) - break; - - m_reg.swap(ws); - } - } - -/* -* Return the absolute value of this number -*/ -BigInt BigInt::abs() const - { - BigInt x = (*this); - x.set_sign(Positive); - return x; - } - -void BigInt::grow_to(size_t n) - { - if(n > size()) - { - if(n <= m_reg.capacity()) - m_reg.resize(m_reg.capacity()); - else - m_reg.resize(round_up(n, 8)); - } - } - -/* -* Encode this number into bytes -*/ -void BigInt::binary_encode(uint8_t 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 uint8_t buf[], size_t length) - { - const size_t WORD_BYTES = sizeof(word); - - clear(); - m_reg.resize(round_up((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]; - } - -void BigInt::ct_cond_assign(bool predicate, BigInt& other) - { - const size_t t_words = size(); - const size_t o_words = other.size(); - - const size_t r_words = std::max(t_words, o_words); - - const word mask = CT::expand_mask<word>(predicate); - - for(size_t i = 0; i != r_words; ++i) - { - this->set_word_at(i, CT::select<word>(mask, other.word_at(i), this->word_at(i))); - } - } - -#if defined(BOTAN_HAS_VALGRIND) -void BigInt::const_time_poison() const - { - CT::poison(m_reg.data(), m_reg.size()); - } - -void BigInt::const_time_unpoison() const - { - CT::unpoison(m_reg.data(), m_reg.size()); - } -#endif - -void BigInt::const_time_lookup(secure_vector<word>& output, - const std::vector<BigInt>& vec, - size_t idx) - { - const size_t words = output.size(); - - clear_mem(output.data(), output.size()); - - CT::poison(&idx, sizeof(idx)); - - for(size_t i = 0; i != vec.size(); ++i) - { - BOTAN_ASSERT(vec[i].size() >= words, - "Word size as expected in const_time_lookup"); - - const word mask = CT::is_equal(i, idx); - - for(size_t w = 0; w != words; ++w) - output[w] |= CT::select<word>(mask, vec[i].word_at(w), 0); - } - - CT::unpoison(idx); - CT::unpoison(output.data(), output.size()); - } - -} diff --git a/src/libs/3rdparty/botan/src/lib/math/bigint/bigint.h b/src/libs/3rdparty/botan/src/lib/math/bigint/bigint.h deleted file mode 100644 index 8a434e6bb6c..00000000000 --- a/src/libs/3rdparty/botan/src/lib/math/bigint/bigint.h +++ /dev/null @@ -1,901 +0,0 @@ -/* -* BigInt -* (C) 1999-2008,2012 Jack Lloyd -* 2007 FlexSecure -* -* Botan is released under the Simplified BSD License (see license.txt) -*/ - -#ifndef BOTAN_BIGINT_H_ -#define BOTAN_BIGINT_H_ - -#include <botan/types.h> -#include <botan/secmem.h> -#include <botan/exceptn.h> -#include <botan/loadstor.h> -#include <iosfwd> - -namespace Botan { - -class RandomNumberGenerator; - -/** -* Arbitrary precision integer -*/ -class BOTAN_PUBLIC_API(2,0) BigInt final - { - 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 - */ - class BOTAN_PUBLIC_API(2,0) DivideByZero final : public Exception - { - public: - DivideByZero() : Exception("BigInt divide by zero") {} - }; - - /** - * Create empty BigInt - */ - BigInt() = default; - - /** - * Create BigInt from 64 bit integer - * @param n initial value of this BigInt - */ - BigInt(uint64_t 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 - */ - explicit 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 - */ - BigInt(const uint8_t buf[], size_t length); - - /** - * Create a BigInt from an integer in a byte array - * @param vec the byte vector holding the value - */ - template<typename Alloc> - explicit BigInt(const std::vector<uint8_t, Alloc>& vec) : BigInt(vec.data(), vec.size()) {} - - /** - * 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 uint8_t buf[], size_t length, Base base); - - /** - * Create a BigInt from an integer in a byte array - * @param buf the byte array holding the value - * @param length size of buf - * @param max_bits if the resulting integer is more than max_bits, - * it will be shifted so it is at most max_bits in length. - */ - BigInt(const uint8_t buf[], size_t length, size_t max_bits); - - /** - * Create a BigInt from an array of words - * @param words the words - * @param length number of words - */ - BigInt(const word words[], size_t length); - - /** - * \brief Create a random BigInt of the specified size - * - * @param rng random number generator - * @param bits size in bits - * @param set_high_bit if true, the highest bit is always set - * - * @see randomize - */ - BigInt(RandomNumberGenerator& rng, size_t bits, bool set_high_bit = true); - - /** - * 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); - } - - void swap_reg(secure_vector<word>& reg) - { - m_reg.swap(reg); - } - - /** - * += operator - * @param y the BigInt to add to this - */ - BigInt& operator+=(const BigInt& y); - - /** - * += operator - * @param y the word to add to this - */ - BigInt& operator+=(word y); - - /** - * -= operator - * @param y the BigInt to subtract from this - */ - BigInt& operator-=(const BigInt& y); - - /** - * -= operator - * @param y the word to subtract from this - */ - BigInt& operator-=(word y); - - /** - * *= operator - * @param y the BigInt to multiply with this - */ - BigInt& operator*=(const BigInt& y); - - /** - * *= operator - * @param y the word to multiply with this - */ - BigInt& operator*=(word 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()); } - - BigInt& add(const word y[], size_t y_words, Sign sign); - BigInt& sub(const word y[], size_t y_words, Sign sign); - - /** - * Multiply this with y - * @param y the BigInt to multiply with this - * @param ws a temp workspace - */ - BigInt& mul(const BigInt& y, secure_vector<word>& ws); - - /** - * Square value of *this - * @param ws a temp workspace - */ - BigInt& square(secure_vector<word>& ws); - - /** - * Set *this to y - *this - * @param y the BigInt to subtract from as a sequence of words - * @param y_size length of y in words - * @param ws a temp workspace - */ - BigInt& rev_sub(const word y[], size_t y_size, secure_vector<word>& ws); - - /** - * Set *this to (*this + y) % mod - * This function assumes *this is >= 0 && < mod - * @param y the BigInt to add - assumed y >= 0 and y < mod - * @param mod the positive modulus - * @param ws a temp workspace - */ - BigInt& mod_add(const BigInt& y, const BigInt& mod, secure_vector<word>& ws); - - /** - * Set *this to (*this - y) % mod - * This function assumes *this is >= 0 && < mod - * @param y the BigInt to subtract - assumed y >= 0 and y < mod - * @param mod the positive modulus - * @param ws a temp workspace - */ - BigInt& mod_sub(const BigInt& y, const BigInt& mod, secure_vector<word>& ws); - - /** - * Return *this below mod - * - * Assumes that *this is (if anything) only slightly larger than - * mod and performs repeated subtractions. It should not be used if - * *this is much larger than mod, instead of modulo operator. - */ - void reduce_below(const BigInt& mod, secure_vector<word> &ws); - - /** - * 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] - */ - int32_t cmp(const BigInt& n, bool check_signs = true) const; - - /** - * Compare this to an integer - * @param n the value to compare with - * @result if (this<n) return -1, if (this>n) return 1, if both - * values are identical return 0 [like Perl's <=> operator] - */ - int32_t cmp_word(word n) 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) - { - if(n == 0) { clear(); return; } - - const size_t top_word = n / BOTAN_MP_WORD_BITS; - const word mask = (static_cast<word>(1) << (n % BOTAN_MP_WORD_BITS)) - 1; - - if(top_word < size()) - { - const size_t len = size() - (top_word + 1); - if (len > 0) - { - clear_mem(&m_reg[top_word+1], len); - } - m_reg[top_word] &= mask; - } - } - - /** - * 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 ((word_at(n / BOTAN_MP_WORD_BITS) >> (n % BOTAN_MP_WORD_BITS)) & 1); - } - - /** - * 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 - */ - uint32_t get_substring(size_t offset, size_t length) const; - - /** - * Convert this value into a uint32_t, if it is in the range - * [0 ... 2**32-1], or otherwise throw an exception. - * @result the value as a uint32_t if conversion is possible - */ - uint32_t to_u32bit() const; - - /** - * Convert this value to a decimal string. - * Warning: decimal conversions are relatively slow - */ - std::string to_dec_string() const; - - /** - * Convert this value to a hexadecimal string. - */ - std::string to_hex_string() const; - - /** - * @param n the offset to get a byte from - * @result byte at offset n - */ - uint8_t byte_at(size_t n) const - { - return get_byte(sizeof(word) - (n % sizeof(word)) - 1, - word_at(n / sizeof(word))); - } - - /** - * 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); } - - void set_word_at(size_t i, word w) - { - if(i >= m_reg.size()) - grow_to(i + 1); - m_reg[i] = w; - } - - void set_words(const word w[], size_t len) - { - m_reg.resize(len); - copy_mem(mutable_data(), w, len); - } - - /** - * 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 - { - if(sign() == Positive) - return Negative; - return Positive; - } - - /** - * Flip the sign of this BigInt - */ - void flip_sign() - { - set_sign(reverse_sign()); - } - - /** - * Set sign of the integer - * @param sign new Sign to set - */ - void set_sign(Sign sign) - { - if(is_zero()) - m_signedness = Positive; - else - m_signedness = 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.data(); - 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.data(); } - - /** - * Return a const pointer to the register - * @result a pointer to the start of the internal register - */ - const word* data() const { return m_reg.data(); } - - secure_vector<word>& get_word_vector() { return m_reg; } - const secure_vector<word>& get_word_vector() const { return m_reg; } - - /** - * Increase internal register buffer to at least n words - * @param n new size of register - */ - void grow_to(size_t n); - - /** - * Resize the vector to the minimum word size to hold the integer, or - * min_size words, whichever is larger - */ - void shrink_to_fit(size_t min_size = 0) - { - const size_t words = std::max(min_size, sig_words()); - m_reg.resize(words); - } - - /** - * Fill BigInt with a random number with size of bitsize - * - * If \p set_high_bit is true, the highest bit will be set, which causes - * the entropy to be \a bits-1. Otherwise the highest bit is randomly chosen - * by the rng, causing the entropy to be \a bits. - * - * @param rng the random number generator to use - * @param bitsize number of bits the created random value should have - * @param set_high_bit if true, the highest bit is always set - */ - void randomize(RandomNumberGenerator& rng, size_t bitsize, bool set_high_bit = true); - - /** - * Store BigInt-value in a given byte array - * @param buf destination byte array for the integer value - */ - void binary_encode(uint8_t 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 uint8_t buf[], size_t length); - - /** - * Read integer value from a byte array (secure_vector<uint8_t>) - * @param buf the array to load from - */ - void binary_decode(const secure_vector<uint8_t>& buf) - { - binary_decode(buf.data(), 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; - - /** - * Place the value into out, zero-padding up to size words - * Throw if *this cannot be represented in size words - */ - void encode_words(word out[], size_t size) const; - - /** - * If predicate is true assign other to *this - * Uses a masked operation to avoid side channels - */ - void ct_cond_assign(bool predicate, BigInt& other); - -#if defined(BOTAN_HAS_VALGRIND) - void const_time_poison() const; - void const_time_unpoison() const; -#else - void const_time_poison() const {} - void const_time_unpoison() const {} -#endif - - /** - * @param rng a random number generator - * @param min the minimum value (must be non-negative) - * @param max the maximum value (must be non-negative and > min) - * @return random integer in [min,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 - * @result secure_vector of bytes containing the bytes of the integer - */ - static std::vector<uint8_t> encode(const BigInt& n) - { - std::vector<uint8_t> output(n.bytes()); - n.binary_encode(output.data()); - return output; - } - - /** - * Encode the integer value from a BigInt to a secure_vector of bytes - * @param n the BigInt to use as integer source - * @result secure_vector of bytes containing the bytes of the integer - */ - static secure_vector<uint8_t> encode_locked(const BigInt& n) - { - secure_vector<uint8_t> output(n.bytes()); - n.binary_encode(output.data()); - return output; - } - - /** - * Encode the integer value from a BigInt to a byte array - * @param buf destination byte array for the encoded integer - * @param n the BigInt to use as integer source - */ - static void encode(uint8_t buf[], const BigInt& n) - { - n.binary_encode(buf); - } - - /** - * Create a BigInt from an integer in a byte array - * @param buf the binary value to load - * @param length size of buf - * @result BigInt representing the integer in the byte array - */ - static BigInt decode(const uint8_t buf[], size_t length) - { - return BigInt(buf, length); - } - - /** - * Create a BigInt from an integer in a byte array - * @param buf the binary value to load - * @result BigInt representing the integer in the byte array - */ - static BigInt decode(const secure_vector<uint8_t>& buf) - { - return BigInt(buf); - } - - /** - * Create a BigInt from an integer in a byte array - * @param buf the binary value to load - * @result BigInt representing the integer in the byte array - */ - static BigInt decode(const std::vector<uint8_t>& buf) - { - return BigInt(buf); - } - - /** - * 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<uint8_t> encode(const BigInt& n, Base base); - - /** - * 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<uint8_t> encode_locked(const BigInt& n, - Base base); - - /** - * 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(uint8_t buf[], const BigInt& n, Base base); - - /** - * 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 uint8_t buf[], size_t length, - Base 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 secure_vector<uint8_t>& buf, - Base base) - { - if(base == Binary) - return BigInt(buf); - return BigInt::decode(buf.data(), 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<uint8_t>& buf, Base base) - { - if(base == Binary) - return BigInt(buf); - return BigInt::decode(buf.data(), 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<uint8_t> - * @result a secure_vector<uint8_t> containing the encoded BigInt - */ - static secure_vector<uint8_t> encode_1363(const BigInt& n, size_t bytes); - - static void encode_1363(uint8_t out[], size_t bytes, const BigInt& n); - - /** - * Encode two BigInt to a byte array according to IEEE 1363 - * @param n1 the first BigInt to encode - * @param n2 the second BigInt to encode - * @param bytes the length of the encoding of each single BigInt - * @result a secure_vector<uint8_t> containing the concatenation of the two encoded BigInt - */ - static secure_vector<uint8_t> encode_fixed_length_int_pair(const BigInt& n1, const BigInt& n2, size_t bytes); - - /** - * Set output = vec[idx].m_reg in constant time - * All words of vec must have the same size - */ - static void const_time_lookup( - secure_vector<word>& output, - const std::vector<BigInt>& vec, - size_t idx); - - private: - secure_vector<word> m_reg; - Sign m_signedness = Positive; - }; - -/* -* Arithmetic Operators -*/ -BigInt BOTAN_PUBLIC_API(2,0) operator+(const BigInt& x, const BigInt& y); -BigInt BOTAN_PUBLIC_API(2,7) operator+(const BigInt& x, word y); -inline BigInt operator+(word x, const BigInt& y) { return y + x; } - -BigInt BOTAN_PUBLIC_API(2,0) operator-(const BigInt& x, const BigInt& y); -BigInt BOTAN_PUBLIC_API(2,7) operator-(const BigInt& x, word y); - -BigInt BOTAN_PUBLIC_API(2,0) operator*(const BigInt& x, const BigInt& y); -BigInt BOTAN_PUBLIC_API(2,8) operator*(const BigInt& x, word y); -inline BigInt operator*(word x, const BigInt& y) { return y*x; } - -BigInt BOTAN_PUBLIC_API(2,0) operator/(const BigInt& x, const BigInt& d); -BigInt BOTAN_PUBLIC_API(2,0) operator%(const BigInt& x, const BigInt& m); -word BOTAN_PUBLIC_API(2,0) operator%(const BigInt& x, word m); -BigInt BOTAN_PUBLIC_API(2,0) operator<<(const BigInt& x, size_t n); -BigInt BOTAN_PUBLIC_API(2,0) 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); } - -inline bool operator==(const BigInt& a, word b) - { return (a.cmp_word(b) == 0); } -inline bool operator!=(const BigInt& a, word b) - { return (a.cmp_word(b) != 0); } -inline bool operator<=(const BigInt& a, word b) - { return (a.cmp_word(b) <= 0); } -inline bool operator>=(const BigInt& a, word b) - { return (a.cmp_word(b) >= 0); } -inline bool operator<(const BigInt& a, word b) - { return (a.cmp_word(b) < 0); } -inline bool operator>(const BigInt& a, word b) - { return (a.cmp_word(b) > 0); } - -/* -* I/O Operators -*/ -BOTAN_PUBLIC_API(2,0) std::ostream& operator<<(std::ostream&, const BigInt&); -BOTAN_PUBLIC_API(2,0) 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/libs/3rdparty/botan/src/lib/math/bigint/divide.cpp b/src/libs/3rdparty/botan/src/lib/math/bigint/divide.cpp deleted file mode 100644 index 63326d6552f..00000000000 --- a/src/libs/3rdparty/botan/src/lib/math/bigint/divide.cpp +++ /dev/null @@ -1,140 +0,0 @@ -/* -* Division Algorithm -* (C) 1999-2007,2012 Jack Lloyd -* -* Botan is released under the Simplified BSD License (see license.txt) -*/ - -#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); - - int32_t 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 << (BOTAN_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) << (BOTAN_MP_WORD_BITS * (j-t-1)); - - if(r.is_negative()) - { - r += y << (BOTAN_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/libs/3rdparty/botan/src/lib/math/bigint/divide.h b/src/libs/3rdparty/botan/src/lib/math/bigint/divide.h deleted file mode 100644 index 03e5ff7c143..00000000000 --- a/src/libs/3rdparty/botan/src/lib/math/bigint/divide.h +++ /dev/null @@ -1,29 +0,0 @@ -/* -* Division -* (C) 1999-2007 Jack Lloyd -* -* Botan is released under the Simplified BSD License (see license.txt) -*/ - -#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_PUBLIC_API(2,0) divide(const BigInt& x, - const BigInt& y, - BigInt& q, - BigInt& r); - -} - -#endif diff --git a/src/libs/3rdparty/botan/src/lib/math/bigint/info.txt b/src/libs/3rdparty/botan/src/lib/math/bigint/info.txt deleted file mode 100644 index 974366b8108..00000000000 --- a/src/libs/3rdparty/botan/src/lib/math/bigint/info.txt +++ /dev/null @@ -1,14 +0,0 @@ -<defines> -BIGINT -> 20131128 -</defines> - -<header:public> -bigint.h -divide.h -</header:public> - -<requires> -mp -hex -rng -</requires> diff --git a/src/libs/3rdparty/botan/src/lib/math/mp/info.txt b/src/libs/3rdparty/botan/src/lib/math/mp/info.txt deleted file mode 100644 index cee4325ed88..00000000000 --- a/src/libs/3rdparty/botan/src/lib/math/mp/info.txt +++ /dev/null @@ -1,10 +0,0 @@ -<defines> -BIGINT_MP -> 20151225 -</defines> - -<header:internal> -mp_core.h -mp_madd.h -mp_asmi.h -mp_monty.h -</header:internal> diff --git a/src/libs/3rdparty/botan/src/lib/math/mp/mp_asmi.h b/src/libs/3rdparty/botan/src/lib/math/mp/mp_asmi.h deleted file mode 100644 index 1b332811f82..00000000000 --- a/src/libs/3rdparty/botan/src/lib/math/mp/mp_asmi.h +++ /dev/null @@ -1,875 +0,0 @@ -/* -* Lowest Level MPI Algorithms -* (C) 1999-2010 Jack Lloyd -* 2006 Luca Piccarreta -* -* Botan is released under the Simplified BSD License (see license.txt) -*/ - -#ifndef BOTAN_MP_ASM_INTERNAL_H_ -#define BOTAN_MP_ASM_INTERNAL_H_ - -#include <botan/internal/mp_madd.h> - -namespace Botan { - -#if defined(BOTAN_MP_USE_X86_32_ASM) - -#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 ADD_OR_SUBTRACT(CORE_CODE) \ - ASM("rorl %[carry]") \ - CORE_CODE \ - ASM("sbbl %[carry],%[carry]") \ - ASM("negl %[carry]") - -#elif defined(BOTAN_MP_USE_X86_64_ASM) - -#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 ADD_OR_SUBTRACT(CORE_CODE) \ - ASM("rorq %[carry]") \ - CORE_CODE \ - ASM("sbbq %[carry],%[carry]") \ - ASM("negq %[carry]") - -#endif - -#if defined(ADD_OR_SUBTRACT) - -#define ASM(x) x "\n\t" - -#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) - -#endif - -/* -* Word Addition -*/ -inline word word_add(word x, word y, word* carry) - { -#if defined(BOTAN_MP_USE_X86_32_ASM) - asm( - ADD_OR_SUBTRACT(ASM("adcl %[y],%[x]")) - : [x]"=r"(x), [carry]"=r"(*carry) - : "0"(x), [y]"rm"(y), "1"(*carry) - : "cc"); - return x; - -#elif defined(BOTAN_MP_USE_X86_64_ASM) - - asm( - ADD_OR_SUBTRACT(ASM("adcq %[y],%[x]")) - : [x]"=r"(x), [carry]"=r"(*carry) - : "0"(x), [y]"rm"(y), "1"(*carry) - : "cc"); - return x; - -#else - word z = x + y; - word c1 = (z < x); - z += *carry; - *carry = c1 | (z < *carry); - return z; -#endif - } - -/* -* Eight Word Block Addition, Two Argument -*/ -inline word word8_add2(word x[8], const word y[8], word carry) - { -#if defined(BOTAN_MP_USE_X86_32_ASM) - 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; - -#elif defined(BOTAN_MP_USE_X86_64_ASM) - - 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; - -#elif defined(BOTAN_MP_USE_X86_32_MSVC_ASM) - - __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 - } - -#else - 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; -#endif - } - -/* -* Eight Word Block Addition, Three Argument -*/ -inline word word8_add3(word z[8], const word x[8], - const word y[8], word carry) - { -#if defined(BOTAN_MP_USE_X86_32_ASM) - 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; - -#elif defined(BOTAN_MP_USE_X86_64_ASM) - - 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; - -#elif defined(BOTAN_MP_USE_X86_32_MSVC_ASM) - - __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 - } - -#else - 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; -#endif - } - -/* -* Word Subtraction -*/ -inline word word_sub(word x, word y, word* carry) - { -#if defined(BOTAN_MP_USE_X86_32_ASM) - asm( - ADD_OR_SUBTRACT(ASM("sbbl %[y],%[x]")) - : [x]"=r"(x), [carry]"=r"(*carry) - : "0"(x), [y]"rm"(y), "1"(*carry) - : "cc"); - return x; - -#elif defined(BOTAN_MP_USE_X86_64_ASM) - - asm( - ADD_OR_SUBTRACT(ASM("sbbq %[y],%[x]")) - : [x]"=r"(x), [carry]"=r"(*carry) - : "0"(x), [y]"rm"(y), "1"(*carry) - : "cc"); - return x; - -#else - word t0 = x - y; - word c1 = (t0 > x); - word z = t0 - *carry; - *carry = c1 | (z > t0); - return z; -#endif - } - -/* -* Eight Word Block Subtraction, Two Argument -*/ -inline word word8_sub2(word x[8], const word y[8], word carry) - { -#if defined(BOTAN_MP_USE_X86_32_ASM) - 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; - -#elif defined(BOTAN_MP_USE_X86_64_ASM) - - 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; - -#elif defined(BOTAN_MP_USE_X86_32_MSVC_ASM) - - __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 - } - -#else - 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; -#endif - } - -/* -* Eight Word Block Subtraction, Two Argument -*/ -inline word word8_sub2_rev(word x[8], const word y[8], word carry) - { -#if defined(BOTAN_MP_USE_X86_32_ASM) - 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; - -#elif defined(BOTAN_MP_USE_X86_64_ASM) - - 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; - -#else - 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; -#endif - } - -/* -* Eight Word Block Subtraction, Three Argument -*/ -inline word word8_sub3(word z[8], const word x[8], - const word y[8], word carry) - { -#if defined(BOTAN_MP_USE_X86_32_ASM) - 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; - -#elif defined(BOTAN_MP_USE_X86_64_ASM) - - 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; - -#elif defined(BOTAN_MP_USE_X86_32_MSVC_ASM) - - __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 - } - -#else - 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; -#endif - } - -/* -* Eight Word Block Linear Multiplication -*/ -inline word word8_linmul2(word x[8], word y, word carry) - { -#if defined(BOTAN_MP_USE_X86_32_ASM) - asm( - DO_8_TIMES(LINMUL_OP, "x") - : [carry]"=r"(carry) - : [x]"r"(x), [y]"rm"(y), "0"(carry) - : "cc", "%eax", "%edx"); - return carry; - -#elif defined(BOTAN_MP_USE_X86_64_ASM) - - asm( - DO_8_TIMES(LINMUL_OP, "x") - : [carry]"=r"(carry) - : [x]"r"(x), [y]"rm"(y), "0"(carry) - : "cc", "%rax", "%rdx"); - return carry; - -#elif defined(BOTAN_MP_USE_X86_32_MSVC_ASM) - - __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 - } - -#else - 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; -#endif - } - -/* -* Eight Word Block Linear Multiplication -*/ -inline word word8_linmul3(word z[8], const word x[8], word y, word carry) - { -#if defined(BOTAN_MP_USE_X86_32_ASM) - 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; - -#elif defined(BOTAN_MP_USE_X86_64_ASM) - 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; - -#elif defined(BOTAN_MP_USE_X86_32_MSVC_ASM) - - __asm { - 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 - } - -#else - 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; -#endif - } - -/* -* Eight Word Block Multiply/Add -*/ -inline word word8_madd3(word z[8], const word x[8], word y, word carry) - { -#if defined(BOTAN_MP_USE_X86_32_ASM) - 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; - -#elif defined(BOTAN_MP_USE_X86_64_ASM) - - 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; - -#else - 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; -#endif - } - -/* -* Multiply-Add Accumulator -* (w2,w1,w0) += x * y -*/ -inline void word3_muladd(word* w2, word* w1, word* w0, word x, word y) - { -#if defined(BOTAN_MP_USE_X86_32_ASM) - word z0 = 0, z1 = 0; - - asm ("mull %[y]" - : "=a"(z0),"=d"(z1) - : "a"(x), [y]"rm"(y) - : "cc"); - - asm(ASM("addl %[z0],%[w0]") - ASM("adcl %[z1],%[w1]") - ASM("adcl $0,%[w2]") - - : [w0]"=r"(*w0), [w1]"=r"(*w1), [w2]"=r"(*w2) - : [z0]"r"(z0), [z1]"r"(z1), "0"(*w0), "1"(*w1), "2"(*w2) - : "cc"); - -#elif defined(BOTAN_MP_USE_X86_64_ASM) - - word z0 = 0, z1 = 0; - - asm ("mulq %[y]" - : "=a"(z0),"=d"(z1) - : "a"(x), [y]"rm"(y) - : "cc"); - - asm(ASM("addq %[z0],%[w0]") - ASM("adcq %[z1],%[w1]") - ASM("adcq $0,%[w2]") - - : [w0]"=r"(*w0), [w1]"=r"(*w1), [w2]"=r"(*w2) - : [z0]"r"(z0), [z1]"r"(z1), "0"(*w0), "1"(*w1), "2"(*w2) - : "cc"); - -#else - word carry = *w0; - *w0 = word_madd2(x, y, &carry); - *w1 += carry; - *w2 += (*w1 < carry); -#endif - } - -/* -* 3-word addition -* (w2,w1,w0) += x -*/ -inline void word3_add(word* w2, word* w1, word* w0, word x) - { -#if defined(BOTAN_MP_USE_X86_32_ASM) - asm( - ASM("addl %[x],%[w0]") - ASM("adcl $0,%[w1]") - ASM("adcl $0,%[w2]") - - : [w0]"=r"(*w0), [w1]"=r"(*w1), [w2]"=r"(*w2) - : [x]"r"(x), "0"(*w0), "1"(*w1), "2"(*w2) - : "cc"); - -#elif defined(BOTAN_MP_USE_X86_64_ASM) - - asm( - ASM("addq %[x],%[w0]") - ASM("adcq $0,%[w1]") - ASM("adcq $0,%[w2]") - - : [w0]"=r"(*w0), [w1]"=r"(*w1), [w2]"=r"(*w2) - : [x]"r"(x), "0"(*w0), "1"(*w1), "2"(*w2) - : "cc"); - -#else - *w0 += x; - word c1 = (*w0 < x); - *w1 += c1; - word c2 = (*w1 < c1); - *w2 += c2; -#endif - } - -/* -* Multiply-Add Accumulator -* (w2,w1,w0) += 2 * x * y -*/ -inline void word3_muladd_2(word* w2, word* w1, word* w0, word x, word y) - { -#if defined(BOTAN_MP_USE_X86_32_ASM) - - word z0 = 0, z1 = 0; - - asm ("mull %[y]" - : "=a"(z0),"=d"(z1) - : "a"(x), [y]"rm"(y) - : "cc"); - - asm( - ASM("addl %[z0],%[w0]") - ASM("adcl %[z1],%[w1]") - ASM("adcl $0,%[w2]") - - ASM("addl %[z0],%[w0]") - ASM("adcl %[z1],%[w1]") - ASM("adcl $0,%[w2]") - - : [w0]"=r"(*w0), [w1]"=r"(*w1), [w2]"=r"(*w2) - : [z0]"r"(z0), [z1]"r"(z1), "0"(*w0), "1"(*w1), "2"(*w2) - : "cc"); - -#elif defined(BOTAN_MP_USE_X86_64_ASM) - - word z0 = 0, z1 = 0; - - asm ("mulq %[y]" - : "=a"(z0),"=d"(z1) - : "a"(x), [y]"rm"(y) - : "cc"); - - asm( - ASM("addq %[z0],%[w0]") - ASM("adcq %[z1],%[w1]") - ASM("adcq $0,%[w2]") - - ASM("addq %[z0],%[w0]") - ASM("adcq %[z1],%[w1]") - ASM("adcq $0,%[w2]") - - : [w0]"=r"(*w0), [w1]"=r"(*w1), [w2]"=r"(*w2) - : [z0]"r"(z0), [z1]"r"(z1), "0"(*w0), "1"(*w1), "2"(*w2) - : "cc"); - -#else - word carry = 0; - x = word_madd2(x, y, &carry); - y = carry; - - word top = (y >> (BOTAN_MP_WORD_BITS-1)); - y <<= 1; - y |= (x >> (BOTAN_MP_WORD_BITS-1)); - x <<= 1; - - carry = 0; - *w0 = word_add(*w0, x, &carry); - *w1 = word_add(*w1, y, &carry); - *w2 = word_add(*w2, top, &carry); -#endif - } - -#if defined(ASM) - #undef ASM - #undef DO_8_TIMES - #undef ADD_OR_SUBTRACT - #undef ADDSUB2_OP - #undef ADDSUB3_OP - #undef LINMUL_OP - #undef MULADD_OP -#endif - -} - -#endif diff --git a/src/libs/3rdparty/botan/src/lib/math/mp/mp_comba.cpp b/src/libs/3rdparty/botan/src/lib/math/mp/mp_comba.cpp deleted file mode 100644 index ec527224c86..00000000000 --- a/src/libs/3rdparty/botan/src/lib/math/mp/mp_comba.cpp +++ /dev/null @@ -1,2211 +0,0 @@ -/* -* Comba Multiplication and Squaring -* -* This file was automatically generated by ./src/scripts/comba.py on 2018-05-08 -* -* Botan is released under the Simplified BSD License (see license.txt) -*/ - -#include <botan/internal/mp_core.h> -#include <botan/internal/mp_asmi.h> - -namespace Botan { - -/* -* 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 9x9 Squaring -*/ -void bigint_comba_sqr9(word z[18], const word x[9]) - { - 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[ 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[ 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[ 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[ 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[ 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[ 6], x[ 8]); - word3_muladd (&w1, &w0, &w2, x[ 7], x[ 7]); - z[14] = w2; w2 = 0; - - word3_muladd_2(&w2, &w1, &w0, x[ 7], x[ 8]); - z[15] = w0; w0 = 0; - - word3_muladd (&w0, &w2, &w1, x[ 8], x[ 8]); - z[16] = w1; - z[17] = w2; - } - -/* -* Comba 9x9 Multiplication -*/ -void bigint_comba_mul9(word z[18], const word x[9], const word y[9]) - { - 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[ 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]); - z[ 9] = w0; w0 = 0; - - 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]); - z[10] = w1; w1 = 0; - - 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]); - z[11] = w2; w2 = 0; - - 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]); - z[12] = w0; w0 = 0; - - 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]); - z[13] = w1; w1 = 0; - - 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]); - z[14] = w2; w2 = 0; - - word3_muladd(&w2, &w1, &w0, x[ 7], y[ 8]); - word3_muladd(&w2, &w1, &w0, x[ 8], y[ 7]); - z[15] = w0; w0 = 0; - - word3_muladd(&w0, &w2, &w1, x[ 8], y[ 8]); - z[16] = w1; - z[17] = w2; - } - -/* -* 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; - } - -/* -* Comba 24x24 Squaring -*/ -void bigint_comba_sqr24(word z[48], const word x[24]) - { - 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[ 0], x[16]); - 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[ 0], x[17]); - word3_muladd_2(&w1, &w0, &w2, x[ 1], x[16]); - 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[ 0], x[18]); - word3_muladd_2(&w2, &w1, &w0, x[ 1], x[17]); - word3_muladd_2(&w2, &w1, &w0, x[ 2], x[16]); - 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[ 0], x[19]); - word3_muladd_2(&w0, &w2, &w1, x[ 1], x[18]); - word3_muladd_2(&w0, &w2, &w1, x[ 2], x[17]); - word3_muladd_2(&w0, &w2, &w1, x[ 3], x[16]); - 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[ 0], x[20]); - word3_muladd_2(&w1, &w0, &w2, x[ 1], x[19]); - word3_muladd_2(&w1, &w0, &w2, x[ 2], x[18]); - word3_muladd_2(&w1, &w0, &w2, x[ 3], x[17]); - word3_muladd_2(&w1, &w0, &w2, x[ 4], x[16]); - 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[ 0], x[21]); - word3_muladd_2(&w2, &w1, &w0, x[ 1], x[20]); - word3_muladd_2(&w2, &w1, &w0, x[ 2], x[19]); - word3_muladd_2(&w2, &w1, &w0, x[ 3], x[18]); - word3_muladd_2(&w2, &w1, &w0, x[ 4], x[17]); - word3_muladd_2(&w2, &w1, &w0, x[ 5], x[16]); - 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[ 0], x[22]); - word3_muladd_2(&w0, &w2, &w1, x[ 1], x[21]); - word3_muladd_2(&w0, &w2, &w1, x[ 2], x[20]); - word3_muladd_2(&w0, &w2, &w1, x[ 3], x[19]); - word3_muladd_2(&w0, &w2, &w1, x[ 4], x[18]); - word3_muladd_2(&w0, &w2, &w1, x[ 5], x[17]); - word3_muladd_2(&w0, &w2, &w1, x[ 6], x[16]); - 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[ 0], x[23]); - word3_muladd_2(&w1, &w0, &w2, x[ 1], x[22]); - word3_muladd_2(&w1, &w0, &w2, x[ 2], x[21]); - word3_muladd_2(&w1, &w0, &w2, x[ 3], x[20]); - word3_muladd_2(&w1, &w0, &w2, x[ 4], x[19]); - word3_muladd_2(&w1, &w0, &w2, x[ 5], x[18]); - word3_muladd_2(&w1, &w0, &w2, x[ 6], x[17]); - word3_muladd_2(&w1, &w0, &w2, x[ 7], x[16]); - 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[ 1], x[23]); - word3_muladd_2(&w2, &w1, &w0, x[ 2], x[22]); - word3_muladd_2(&w2, &w1, &w0, x[ 3], x[21]); - word3_muladd_2(&w2, &w1, &w0, x[ 4], x[20]); - word3_muladd_2(&w2, &w1, &w0, x[ 5], x[19]); - word3_muladd_2(&w2, &w1, &w0, x[ 6], x[18]); - word3_muladd_2(&w2, &w1, &w0, x[ 7], x[17]); - word3_muladd_2(&w2, &w1, &w0, x[ 8], x[16]); - 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[ 2], x[23]); - word3_muladd_2(&w0, &w2, &w1, x[ 3], x[22]); - word3_muladd_2(&w0, &w2, &w1, x[ 4], x[21]); - word3_muladd_2(&w0, &w2, &w1, x[ 5], x[20]); - word3_muladd_2(&w0, &w2, &w1, x[ 6], x[19]); - word3_muladd_2(&w0, &w2, &w1, x[ 7], x[18]); - word3_muladd_2(&w0, &w2, &w1, x[ 8], x[17]); - word3_muladd_2(&w0, &w2, &w1, x[ 9], x[16]); - 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[ 3], x[23]); - word3_muladd_2(&w1, &w0, &w2, x[ 4], x[22]); - word3_muladd_2(&w1, &w0, &w2, x[ 5], x[21]); - word3_muladd_2(&w1, &w0, &w2, x[ 6], x[20]); - word3_muladd_2(&w1, &w0, &w2, x[ 7], x[19]); - word3_muladd_2(&w1, &w0, &w2, x[ 8], x[18]); - word3_muladd_2(&w1, &w0, &w2, x[ 9], x[17]); - word3_muladd_2(&w1, &w0, &w2, x[10], x[16]); - 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[ 4], x[23]); - word3_muladd_2(&w2, &w1, &w0, x[ 5], x[22]); - word3_muladd_2(&w2, &w1, &w0, x[ 6], x[21]); - word3_muladd_2(&w2, &w1, &w0, x[ 7], x[20]); - word3_muladd_2(&w2, &w1, &w0, x[ 8], x[19]); - word3_muladd_2(&w2, &w1, &w0, x[ 9], x[18]); - word3_muladd_2(&w2, &w1, &w0, x[10], x[17]); - word3_muladd_2(&w2, &w1, &w0, x[11], x[16]); - 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[ 5], x[23]); - word3_muladd_2(&w0, &w2, &w1, x[ 6], x[22]); - word3_muladd_2(&w0, &w2, &w1, x[ 7], x[21]); - word3_muladd_2(&w0, &w2, &w1, x[ 8], x[20]); - word3_muladd_2(&w0, &w2, &w1, x[ 9], x[19]); - word3_muladd_2(&w0, &w2, &w1, x[10], x[18]); - word3_muladd_2(&w0, &w2, &w1, x[11], x[17]); - word3_muladd_2(&w0, &w2, &w1, x[12], x[16]); - 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[ 6], x[23]); - word3_muladd_2(&w1, &w0, &w2, x[ 7], x[22]); - word3_muladd_2(&w1, &w0, &w2, x[ 8], x[21]); - word3_muladd_2(&w1, &w0, &w2, x[ 9], x[20]); - word3_muladd_2(&w1, &w0, &w2, x[10], x[19]); - word3_muladd_2(&w1, &w0, &w2, x[11], x[18]); - word3_muladd_2(&w1, &w0, &w2, x[12], x[17]); - word3_muladd_2(&w1, &w0, &w2, x[13], x[16]); - word3_muladd_2(&w1, &w0, &w2, x[14], x[15]); - z[29] = w2; w2 = 0; - - word3_muladd_2(&w2, &w1, &w0, x[ 7], x[23]); - word3_muladd_2(&w2, &w1, &w0, x[ 8], x[22]); - word3_muladd_2(&w2, &w1, &w0, x[ 9], x[21]); - word3_muladd_2(&w2, &w1, &w0, x[10], x[20]); - word3_muladd_2(&w2, &w1, &w0, x[11], x[19]); - word3_muladd_2(&w2, &w1, &w0, x[12], x[18]); - word3_muladd_2(&w2, &w1, &w0, x[13], x[17]); - word3_muladd_2(&w2, &w1, &w0, x[14], x[16]); - word3_muladd (&w2, &w1, &w0, x[15], x[15]); - z[30] = w0; w0 = 0; - - word3_muladd_2(&w0, &w2, &w1, x[ 8], x[23]); - word3_muladd_2(&w0, &w2, &w1, x[ 9], x[22]); - word3_muladd_2(&w0, &w2, &w1, x[10], x[21]); - word3_muladd_2(&w0, &w2, &w1, x[11], x[20]); - word3_muladd_2(&w0, &w2, &w1, x[12], x[19]); - word3_muladd_2(&w0, &w2, &w1, x[13], x[18]); - word3_muladd_2(&w0, &w2, &w1, x[14], x[17]); - word3_muladd_2(&w0, &w2, &w1, x[15], x[16]); - z[31] = w1; w1 = 0; - - word3_muladd_2(&w1, &w0, &w2, x[ 9], x[23]); - word3_muladd_2(&w1, &w0, &w2, x[10], x[22]); - word3_muladd_2(&w1, &w0, &w2, x[11], x[21]); - word3_muladd_2(&w1, &w0, &w2, x[12], x[20]); - word3_muladd_2(&w1, &w0, &w2, x[13], x[19]); - word3_muladd_2(&w1, &w0, &w2, x[14], x[18]); - word3_muladd_2(&w1, &w0, &w2, x[15], x[17]); - word3_muladd (&w1, &w0, &w2, x[16], x[16]); - z[32] = w2; w2 = 0; - - word3_muladd_2(&w2, &w1, &w0, x[10], x[23]); - word3_muladd_2(&w2, &w1, &w0, x[11], x[22]); - word3_muladd_2(&w2, &w1, &w0, x[12], x[21]); - word3_muladd_2(&w2, &w1, &w0, x[13], x[20]); - word3_muladd_2(&w2, &w1, &w0, x[14], x[19]); - word3_muladd_2(&w2, &w1, &w0, x[15], x[18]); - word3_muladd_2(&w2, &w1, &w0, x[16], x[17]); - z[33] = w0; w0 = 0; - - word3_muladd_2(&w0, &w2, &w1, x[11], x[23]); - word3_muladd_2(&w0, &w2, &w1, x[12], x[22]); - word3_muladd_2(&w0, &w2, &w1, x[13], x[21]); - word3_muladd_2(&w0, &w2, &w1, x[14], x[20]); - word3_muladd_2(&w0, &w2, &w1, x[15], x[19]); - word3_muladd_2(&w0, &w2, &w1, x[16], x[18]); - word3_muladd (&w0, &w2, &w1, x[17], x[17]); - z[34] = w1; w1 = 0; - - word3_muladd_2(&w1, &w0, &w2, x[12], x[23]); - word3_muladd_2(&w1, &w0, &w2, x[13], x[22]); - word3_muladd_2(&w1, &w0, &w2, x[14], x[21]); - word3_muladd_2(&w1, &w0, &w2, x[15], x[20]); - word3_muladd_2(&w1, &w0, &w2, x[16], x[19]); - word3_muladd_2(&w1, &w0, &w2, x[17], x[18]); - z[35] = w2; w2 = 0; - - word3_muladd_2(&w2, &w1, &w0, x[13], x[23]); - word3_muladd_2(&w2, &w1, &w0, x[14], x[22]); - word3_muladd_2(&w2, &w1, &w0, x[15], x[21]); - word3_muladd_2(&w2, &w1, &w0, x[16], x[20]); - word3_muladd_2(&w2, &w1, &w0, x[17], x[19]); - word3_muladd (&w2, &w1, &w0, x[18], x[18]); - z[36] = w0; w0 = 0; - - word3_muladd_2(&w0, &w2, &w1, x[14], x[23]); - word3_muladd_2(&w0, &w2, &w1, x[15], x[22]); - word3_muladd_2(&w0, &w2, &w1, x[16], x[21]); - word3_muladd_2(&w0, &w2, &w1, x[17], x[20]); - word3_muladd_2(&w0, &w2, &w1, x[18], x[19]); - z[37] = w1; w1 = 0; - - word3_muladd_2(&w1, &w0, &w2, x[15], x[23]); - word3_muladd_2(&w1, &w0, &w2, x[16], x[22]); - word3_muladd_2(&w1, &w0, &w2, x[17], x[21]); - word3_muladd_2(&w1, &w0, &w2, x[18], x[20]); - word3_muladd (&w1, &w0, &w2, x[19], x[19]); - z[38] = w2; w2 = 0; - - word3_muladd_2(&w2, &w1, &w0, x[16], x[23]); - word3_muladd_2(&w2, &w1, &w0, x[17], x[22]); - word3_muladd_2(&w2, &w1, &w0, x[18], x[21]); - word3_muladd_2(&w2, &w1, &w0, x[19], x[20]); - z[39] = w0; w0 = 0; - - word3_muladd_2(&w0, &w2, &w1, x[17], x[23]); - word3_muladd_2(&w0, &w2, &w1, x[18], x[22]); - word3_muladd_2(&w0, &w2, &w1, x[19], x[21]); - word3_muladd (&w0, &w2, &w1, x[20], x[20]); - z[40] = w1; w1 = 0; - - word3_muladd_2(&w1, &w0, &w2, x[18], x[23]); - word3_muladd_2(&w1, &w0, &w2, x[19], x[22]); - word3_muladd_2(&w1, &w0, &w2, x[20], x[21]); - z[41] = w2; w2 = 0; - - word3_muladd_2(&w2, &w1, &w0, x[19], x[23]); - word3_muladd_2(&w2, &w1, &w0, x[20], x[22]); - word3_muladd (&w2, &w1, &w0, x[21], x[21]); - z[42] = w0; w0 = 0; - - word3_muladd_2(&w0, &w2, &w1, x[20], x[23]); - word3_muladd_2(&w0, &w2, &w1, x[21], x[22]); - z[43] = w1; w1 = 0; - - word3_muladd_2(&w1, &w0, &w2, x[21], x[23]); - word3_muladd (&w1, &w0, &w2, x[22], x[22]); - z[44] = w2; w2 = 0; - - word3_muladd_2(&w2, &w1, &w0, x[22], x[23]); - z[45] = w0; w0 = 0; - - word3_muladd (&w0, &w2, &w1, x[23], x[23]); - z[46] = w1; - z[47] = w2; - } - -/* -* Comba 24x24 Multiplication -*/ -void bigint_comba_mul24(word z[48], const word x[24], const word y[24]) - { - 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[ 0], y[16]); - 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]); - word3_muladd(&w0, &w2, &w1, x[16], y[ 0]); - z[16] = w1; w1 = 0; - - word3_muladd(&w1, &w0, &w2, x[ 0], y[17]); - word3_muladd(&w1, &w0, &w2, x[ 1], y[16]); - 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]); - word3_muladd(&w1, &w0, &w2, x[16], y[ 1]); - word3_muladd(&w1, &w0, &w2, x[17], y[ 0]); - z[17] = w2; w2 = 0; - - word3_muladd(&w2, &w1, &w0, x[ 0], y[18]); - word3_muladd(&w2, &w1, &w0, x[ 1], y[17]); - word3_muladd(&w2, &w1, &w0, x[ 2], y[16]); - 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]); - word3_muladd(&w2, &w1, &w0, x[16], y[ 2]); - word3_muladd(&w2, &w1, &w0, x[17], y[ 1]); - word3_muladd(&w2, &w1, &w0, x[18], y[ 0]); - z[18] = w0; w0 = 0; - - word3_muladd(&w0, &w2, &w1, x[ 0], y[19]); - word3_muladd(&w0, &w2, &w1, x[ 1], y[18]); - word3_muladd(&w0, &w2, &w1, x[ 2], y[17]); - word3_muladd(&w0, &w2, &w1, x[ 3], y[16]); - 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]); - word3_muladd(&w0, &w2, &w1, x[16], y[ 3]); - word3_muladd(&w0, &w2, &w1, x[17], y[ 2]); - word3_muladd(&w0, &w2, &w1, x[18], y[ 1]); - word3_muladd(&w0, &w2, &w1, x[19], y[ 0]); - z[19] = w1; w1 = 0; - - word3_muladd(&w1, &w0, &w2, x[ 0], y[20]); - word3_muladd(&w1, &w0, &w2, x[ 1], y[19]); - word3_muladd(&w1, &w0, &w2, x[ 2], y[18]); - word3_muladd(&w1, &w0, &w2, x[ 3], y[17]); - word3_muladd(&w1, &w0, &w2, x[ 4], y[16]); - 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]); - word3_muladd(&w1, &w0, &w2, x[16], y[ 4]); - word3_muladd(&w1, &w0, &w2, x[17], y[ 3]); - word3_muladd(&w1, &w0, &w2, x[18], y[ 2]); - word3_muladd(&w1, &w0, &w2, x[19], y[ 1]); - word3_muladd(&w1, &w0, &w2, x[20], y[ 0]); - z[20] = w2; w2 = 0; - - word3_muladd(&w2, &w1, &w0, x[ 0], y[21]); - word3_muladd(&w2, &w1, &w0, x[ 1], y[20]); - word3_muladd(&w2, &w1, &w0, x[ 2], y[19]); - word3_muladd(&w2, &w1, &w0, x[ 3], y[18]); - word3_muladd(&w2, &w1, &w0, x[ 4], y[17]); - word3_muladd(&w2, &w1, &w0, x[ 5], y[16]); - 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]); - word3_muladd(&w2, &w1, &w0, x[16], y[ 5]); - word3_muladd(&w2, &w1, &w0, x[17], y[ 4]); - word3_muladd(&w2, &w1, &w0, x[18], y[ 3]); - word3_muladd(&w2, &w1, &w0, x[19], y[ 2]); - word3_muladd(&w2, &w1, &w0, x[20], y[ 1]); - word3_muladd(&w2, &w1, &w0, x[21], y[ 0]); - z[21] = w0; w0 = 0; - - word3_muladd(&w0, &w2, &w1, x[ 0], y[22]); - word3_muladd(&w0, &w2, &w1, x[ 1], y[21]); - word3_muladd(&w0, &w2, &w1, x[ 2], y[20]); - word3_muladd(&w0, &w2, &w1, x[ 3], y[19]); - word3_muladd(&w0, &w2, &w1, x[ 4], y[18]); - word3_muladd(&w0, &w2, &w1, x[ 5], y[17]); - word3_muladd(&w0, &w2, &w1, x[ 6], y[16]); - 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]); - word3_muladd(&w0, &w2, &w1, x[16], y[ 6]); - word3_muladd(&w0, &w2, &w1, x[17], y[ 5]); - word3_muladd(&w0, &w2, &w1, x[18], y[ 4]); - word3_muladd(&w0, &w2, &w1, x[19], y[ 3]); - word3_muladd(&w0, &w2, &w1, x[20], y[ 2]); - word3_muladd(&w0, &w2, &w1, x[21], y[ 1]); - word3_muladd(&w0, &w2, &w1, x[22], y[ 0]); - z[22] = w1; w1 = 0; - - word3_muladd(&w1, &w0, &w2, x[ 0], y[23]); - word3_muladd(&w1, &w0, &w2, x[ 1], y[22]); - word3_muladd(&w1, &w0, &w2, x[ 2], y[21]); - word3_muladd(&w1, &w0, &w2, x[ 3], y[20]); - word3_muladd(&w1, &w0, &w2, x[ 4], y[19]); - word3_muladd(&w1, &w0, &w2, x[ 5], y[18]); - word3_muladd(&w1, &w0, &w2, x[ 6], y[17]); - word3_muladd(&w1, &w0, &w2, x[ 7], y[16]); - 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]); - word3_muladd(&w1, &w0, &w2, x[16], y[ 7]); - word3_muladd(&w1, &w0, &w2, x[17], y[ 6]); - word3_muladd(&w1, &w0, &w2, x[18], y[ 5]); - word3_muladd(&w1, &w0, &w2, x[19], y[ 4]); - word3_muladd(&w1, &w0, &w2, x[20], y[ 3]); - word3_muladd(&w1, &w0, &w2, x[21], y[ 2]); - word3_muladd(&w1, &w0, &w2, x[22], y[ 1]); - word3_muladd(&w1, &w0, &w2, x[23], y[ 0]); - z[23] = w2; w2 = 0; - - word3_muladd(&w2, &w1, &w0, x[ 1], y[23]); - word3_muladd(&w2, &w1, &w0, x[ 2], y[22]); - word3_muladd(&w2, &w1, &w0, x[ 3], y[21]); - word3_muladd(&w2, &w1, &w0, x[ 4], y[20]); - word3_muladd(&w2, &w1, &w0, x[ 5], y[19]); - word3_muladd(&w2, &w1, &w0, x[ 6], y[18]); - word3_muladd(&w2, &w1, &w0, x[ 7], y[17]); - word3_muladd(&w2, &w1, &w0, x[ 8], y[16]); - 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]); - word3_muladd(&w2, &w1, &w0, x[16], y[ 8]); - word3_muladd(&w2, &w1, &w0, x[17], y[ 7]); - word3_muladd(&w2, &w1, &w0, x[18], y[ 6]); - word3_muladd(&w2, &w1, &w0, x[19], y[ 5]); - word3_muladd(&w2, &w1, &w0, x[20], y[ 4]); - word3_muladd(&w2, &w1, &w0, x[21], y[ 3]); - word3_muladd(&w2, &w1, &w0, x[22], y[ 2]); - word3_muladd(&w2, &w1, &w0, x[23], y[ 1]); - z[24] = w0; w0 = 0; - - word3_muladd(&w0, &w2, &w1, x[ 2], y[23]); - word3_muladd(&w0, &w2, &w1, x[ 3], y[22]); - word3_muladd(&w0, &w2, &w1, x[ 4], y[21]); - word3_muladd(&w0, &w2, &w1, x[ 5], y[20]); - word3_muladd(&w0, &w2, &w1, x[ 6], y[19]); - word3_muladd(&w0, &w2, &w1, x[ 7], y[18]); - word3_muladd(&w0, &w2, &w1, x[ 8], y[17]); - word3_muladd(&w0, &w2, &w1, x[ 9], y[16]); - 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]); - word3_muladd(&w0, &w2, &w1, x[16], y[ 9]); - word3_muladd(&w0, &w2, &w1, x[17], y[ 8]); - word3_muladd(&w0, &w2, &w1, x[18], y[ 7]); - word3_muladd(&w0, &w2, &w1, x[19], y[ 6]); - word3_muladd(&w0, &w2, &w1, x[20], y[ 5]); - word3_muladd(&w0, &w2, &w1, x[21], y[ 4]); - word3_muladd(&w0, &w2, &w1, x[22], y[ 3]); - word3_muladd(&w0, &w2, &w1, x[23], y[ 2]); - z[25] = w1; w1 = 0; - - word3_muladd(&w1, &w0, &w2, x[ 3], y[23]); - word3_muladd(&w1, &w0, &w2, x[ 4], y[22]); - word3_muladd(&w1, &w0, &w2, x[ 5], y[21]); - word3_muladd(&w1, &w0, &w2, x[ 6], y[20]); - word3_muladd(&w1, &w0, &w2, x[ 7], y[19]); - word3_muladd(&w1, &w0, &w2, x[ 8], y[18]); - word3_muladd(&w1, &w0, &w2, x[ 9], y[17]); - word3_muladd(&w1, &w0, &w2, x[10], y[16]); - 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]); - word3_muladd(&w1, &w0, &w2, x[16], y[10]); - word3_muladd(&w1, &w0, &w2, x[17], y[ 9]); - word3_muladd(&w1, &w0, &w2, x[18], y[ 8]); - word3_muladd(&w1, &w0, &w2, x[19], y[ 7]); - word3_muladd(&w1, &w0, &w2, x[20], y[ 6]); - word3_muladd(&w1, &w0, &w2, x[21], y[ 5]); - word3_muladd(&w1, &w0, &w2, x[22], y[ 4]); - word3_muladd(&w1, &w0, &w2, x[23], y[ 3]); - z[26] = w2; w2 = 0; - - word3_muladd(&w2, &w1, &w0, x[ 4], y[23]); - word3_muladd(&w2, &w1, &w0, x[ 5], y[22]); - word3_muladd(&w2, &w1, &w0, x[ 6], y[21]); - word3_muladd(&w2, &w1, &w0, x[ 7], y[20]); - word3_muladd(&w2, &w1, &w0, x[ 8], y[19]); - word3_muladd(&w2, &w1, &w0, x[ 9], y[18]); - word3_muladd(&w2, &w1, &w0, x[10], y[17]); - word3_muladd(&w2, &w1, &w0, x[11], y[16]); - 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]); - word3_muladd(&w2, &w1, &w0, x[16], y[11]); - word3_muladd(&w2, &w1, &w0, x[17], y[10]); - word3_muladd(&w2, &w1, &w0, x[18], y[ 9]); - word3_muladd(&w2, &w1, &w0, x[19], y[ 8]); - word3_muladd(&w2, &w1, &w0, x[20], y[ 7]); - word3_muladd(&w2, &w1, &w0, x[21], y[ 6]); - word3_muladd(&w2, &w1, &w0, x[22], y[ 5]); - word3_muladd(&w2, &w1, &w0, x[23], y[ 4]); - z[27] = w0; w0 = 0; - - word3_muladd(&w0, &w2, &w1, x[ 5], y[23]); - word3_muladd(&w0, &w2, &w1, x[ 6], y[22]); - word3_muladd(&w0, &w2, &w1, x[ 7], y[21]); - word3_muladd(&w0, &w2, &w1, x[ 8], y[20]); - word3_muladd(&w0, &w2, &w1, x[ 9], y[19]); - word3_muladd(&w0, &w2, &w1, x[10], y[18]); - word3_muladd(&w0, &w2, &w1, x[11], y[17]); - word3_muladd(&w0, &w2, &w1, x[12], y[16]); - 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]); - word3_muladd(&w0, &w2, &w1, x[16], y[12]); - word3_muladd(&w0, &w2, &w1, x[17], y[11]); - word3_muladd(&w0, &w2, &w1, x[18], y[10]); - word3_muladd(&w0, &w2, &w1, x[19], y[ 9]); - word3_muladd(&w0, &w2, &w1, x[20], y[ 8]); - word3_muladd(&w0, &w2, &w1, x[21], y[ 7]); - word3_muladd(&w0, &w2, &w1, x[22], y[ 6]); - word3_muladd(&w0, &w2, &w1, x[23], y[ 5]); - z[28] = w1; w1 = 0; - - word3_muladd(&w1, &w0, &w2, x[ 6], y[23]); - word3_muladd(&w1, &w0, &w2, x[ 7], y[22]); - word3_muladd(&w1, &w0, &w2, x[ 8], y[21]); - word3_muladd(&w1, &w0, &w2, x[ 9], y[20]); - word3_muladd(&w1, &w0, &w2, x[10], y[19]); - word3_muladd(&w1, &w0, &w2, x[11], y[18]); - word3_muladd(&w1, &w0, &w2, x[12], y[17]); - word3_muladd(&w1, &w0, &w2, x[13], y[16]); - word3_muladd(&w1, &w0, &w2, x[14], y[15]); - word3_muladd(&w1, &w0, &w2, x[15], y[14]); - word3_muladd(&w1, &w0, &w2, x[16], y[13]); - word3_muladd(&w1, &w0, &w2, x[17], y[12]); - word3_muladd(&w1, &w0, &w2, x[18], y[11]); - word3_muladd(&w1, &w0, &w2, x[19], y[10]); - word3_muladd(&w1, &w0, &w2, x[20], y[ 9]); - word3_muladd(&w1, &w0, &w2, x[21], y[ 8]); - word3_muladd(&w1, &w0, &w2, x[22], y[ 7]); - word3_muladd(&w1, &w0, &w2, x[23], y[ 6]); - z[29] = w2; w2 = 0; - - word3_muladd(&w2, &w1, &w0, x[ 7], y[23]); - word3_muladd(&w2, &w1, &w0, x[ 8], y[22]); - word3_muladd(&w2, &w1, &w0, x[ 9], y[21]); - word3_muladd(&w2, &w1, &w0, x[10], y[20]); - word3_muladd(&w2, &w1, &w0, x[11], y[19]); - word3_muladd(&w2, &w1, &w0, x[12], y[18]); - word3_muladd(&w2, &w1, &w0, x[13], y[17]); - word3_muladd(&w2, &w1, &w0, x[14], y[16]); - word3_muladd(&w2, &w1, &w0, x[15], y[15]); - word3_muladd(&w2, &w1, &w0, x[16], y[14]); - word3_muladd(&w2, &w1, &w0, x[17], y[13]); - word3_muladd(&w2, &w1, &w0, x[18], y[12]); - word3_muladd(&w2, &w1, &w0, x[19], y[11]); - word3_muladd(&w2, &w1, &w0, x[20], y[10]); - word3_muladd(&w2, &w1, &w0, x[21], y[ 9]); - word3_muladd(&w2, &w1, &w0, x[22], y[ 8]); - word3_muladd(&w2, &w1, &w0, x[23], y[ 7]); - z[30] = w0; w0 = 0; - - word3_muladd(&w0, &w2, &w1, x[ 8], y[23]); - word3_muladd(&w0, &w2, &w1, x[ 9], y[22]); - word3_muladd(&w0, &w2, &w1, x[10], y[21]); - word3_muladd(&w0, &w2, &w1, x[11], y[20]); - word3_muladd(&w0, &w2, &w1, x[12], y[19]); - word3_muladd(&w0, &w2, &w1, x[13], y[18]); - word3_muladd(&w0, &w2, &w1, x[14], y[17]); - word3_muladd(&w0, &w2, &w1, x[15], y[16]); - word3_muladd(&w0, &w2, &w1, x[16], y[15]); - word3_muladd(&w0, &w2, &w1, x[17], y[14]); - word3_muladd(&w0, &w2, &w1, x[18], y[13]); - word3_muladd(&w0, &w2, &w1, x[19], y[12]); - word3_muladd(&w0, &w2, &w1, x[20], y[11]); - word3_muladd(&w0, &w2, &w1, x[21], y[10]); - word3_muladd(&w0, &w2, &w1, x[22], y[ 9]); - word3_muladd(&w0, &w2, &w1, x[23], y[ 8]); - z[31] = w1; w1 = 0; - - word3_muladd(&w1, &w0, &w2, x[ 9], y[23]); - word3_muladd(&w1, &w0, &w2, x[10], y[22]); - word3_muladd(&w1, &w0, &w2, x[11], y[21]); - word3_muladd(&w1, &w0, &w2, x[12], y[20]); - word3_muladd(&w1, &w0, &w2, x[13], y[19]); - word3_muladd(&w1, &w0, &w2, x[14], y[18]); - word3_muladd(&w1, &w0, &w2, x[15], y[17]); - word3_muladd(&w1, &w0, &w2, x[16], y[16]); - word3_muladd(&w1, &w0, &w2, x[17], y[15]); - word3_muladd(&w1, &w0, &w2, x[18], y[14]); - word3_muladd(&w1, &w0, &w2, x[19], y[13]); - word3_muladd(&w1, &w0, &w2, x[20], y[12]); - word3_muladd(&w1, &w0, &w2, x[21], y[11]); - word3_muladd(&w1, &w0, &w2, x[22], y[10]); - word3_muladd(&w1, &w0, &w2, x[23], y[ 9]); - z[32] = w2; w2 = 0; - - word3_muladd(&w2, &w1, &w0, x[10], y[23]); - word3_muladd(&w2, &w1, &w0, x[11], y[22]); - word3_muladd(&w2, &w1, &w0, x[12], y[21]); - word3_muladd(&w2, &w1, &w0, x[13], y[20]); - word3_muladd(&w2, &w1, &w0, x[14], y[19]); - word3_muladd(&w2, &w1, &w0, x[15], y[18]); - word3_muladd(&w2, &w1, &w0, x[16], y[17]); - word3_muladd(&w2, &w1, &w0, x[17], y[16]); - word3_muladd(&w2, &w1, &w0, x[18], y[15]); - word3_muladd(&w2, &w1, &w0, x[19], y[14]); - word3_muladd(&w2, &w1, &w0, x[20], y[13]); - word3_muladd(&w2, &w1, &w0, x[21], y[12]); - word3_muladd(&w2, &w1, &w0, x[22], y[11]); - word3_muladd(&w2, &w1, &w0, x[23], y[10]); - z[33] = w0; w0 = 0; - - word3_muladd(&w0, &w2, &w1, x[11], y[23]); - word3_muladd(&w0, &w2, &w1, x[12], y[22]); - word3_muladd(&w0, &w2, &w1, x[13], y[21]); - word3_muladd(&w0, &w2, &w1, x[14], y[20]); - word3_muladd(&w0, &w2, &w1, x[15], y[19]); - word3_muladd(&w0, &w2, &w1, x[16], y[18]); - word3_muladd(&w0, &w2, &w1, x[17], y[17]); - word3_muladd(&w0, &w2, &w1, x[18], y[16]); - word3_muladd(&w0, &w2, &w1, x[19], y[15]); - word3_muladd(&w0, &w2, &w1, x[20], y[14]); - word3_muladd(&w0, &w2, &w1, x[21], y[13]); - word3_muladd(&w0, &w2, &w1, x[22], y[12]); - word3_muladd(&w0, &w2, &w1, x[23], y[11]); - z[34] = w1; w1 = 0; - - word3_muladd(&w1, &w0, &w2, x[12], y[23]); - word3_muladd(&w1, &w0, &w2, x[13], y[22]); - word3_muladd(&w1, &w0, &w2, x[14], y[21]); - word3_muladd(&w1, &w0, &w2, x[15], y[20]); - word3_muladd(&w1, &w0, &w2, x[16], y[19]); - word3_muladd(&w1, &w0, &w2, x[17], y[18]); - word3_muladd(&w1, &w0, &w2, x[18], y[17]); - word3_muladd(&w1, &w0, &w2, x[19], y[16]); - word3_muladd(&w1, &w0, &w2, x[20], y[15]); - word3_muladd(&w1, &w0, &w2, x[21], y[14]); - word3_muladd(&w1, &w0, &w2, x[22], y[13]); - word3_muladd(&w1, &w0, &w2, x[23], y[12]); - z[35] = w2; w2 = 0; - - word3_muladd(&w2, &w1, &w0, x[13], y[23]); - word3_muladd(&w2, &w1, &w0, x[14], y[22]); - word3_muladd(&w2, &w1, &w0, x[15], y[21]); - word3_muladd(&w2, &w1, &w0, x[16], y[20]); - word3_muladd(&w2, &w1, &w0, x[17], y[19]); - word3_muladd(&w2, &w1, &w0, x[18], y[18]); - word3_muladd(&w2, &w1, &w0, x[19], y[17]); - word3_muladd(&w2, &w1, &w0, x[20], y[16]); - word3_muladd(&w2, &w1, &w0, x[21], y[15]); - word3_muladd(&w2, &w1, &w0, x[22], y[14]); - word3_muladd(&w2, &w1, &w0, x[23], y[13]); - z[36] = w0; w0 = 0; - - word3_muladd(&w0, &w2, &w1, x[14], y[23]); - word3_muladd(&w0, &w2, &w1, x[15], y[22]); - word3_muladd(&w0, &w2, &w1, x[16], y[21]); - word3_muladd(&w0, &w2, &w1, x[17], y[20]); - word3_muladd(&w0, &w2, &w1, x[18], y[19]); - word3_muladd(&w0, &w2, &w1, x[19], y[18]); - word3_muladd(&w0, &w2, &w1, x[20], y[17]); - word3_muladd(&w0, &w2, &w1, x[21], y[16]); - word3_muladd(&w0, &w2, &w1, x[22], y[15]); - word3_muladd(&w0, &w2, &w1, x[23], y[14]); - z[37] = w1; w1 = 0; - - word3_muladd(&w1, &w0, &w2, x[15], y[23]); - word3_muladd(&w1, &w0, &w2, x[16], y[22]); - word3_muladd(&w1, &w0, &w2, x[17], y[21]); - word3_muladd(&w1, &w0, &w2, x[18], y[20]); - word3_muladd(&w1, &w0, &w2, x[19], y[19]); - word3_muladd(&w1, &w0, &w2, x[20], y[18]); - word3_muladd(&w1, &w0, &w2, x[21], y[17]); - word3_muladd(&w1, &w0, &w2, x[22], y[16]); - word3_muladd(&w1, &w0, &w2, x[23], y[15]); - z[38] = w2; w2 = 0; - - word3_muladd(&w2, &w1, &w0, x[16], y[23]); - word3_muladd(&w2, &w1, &w0, x[17], y[22]); - word3_muladd(&w2, &w1, &w0, x[18], y[21]); - word3_muladd(&w2, &w1, &w0, x[19], y[20]); - word3_muladd(&w2, &w1, &w0, x[20], y[19]); - word3_muladd(&w2, &w1, &w0, x[21], y[18]); - word3_muladd(&w2, &w1, &w0, x[22], y[17]); - word3_muladd(&w2, &w1, &w0, x[23], y[16]); - z[39] = w0; w0 = 0; - - word3_muladd(&w0, &w2, &w1, x[17], y[23]); - word3_muladd(&w0, &w2, &w1, x[18], y[22]); - word3_muladd(&w0, &w2, &w1, x[19], y[21]); - word3_muladd(&w0, &w2, &w1, x[20], y[20]); - word3_muladd(&w0, &w2, &w1, x[21], y[19]); - word3_muladd(&w0, &w2, &w1, x[22], y[18]); - word3_muladd(&w0, &w2, &w1, x[23], y[17]); - z[40] = w1; w1 = 0; - - word3_muladd(&w1, &w0, &w2, x[18], y[23]); - word3_muladd(&w1, &w0, &w2, x[19], y[22]); - word3_muladd(&w1, &w0, &w2, x[20], y[21]); - word3_muladd(&w1, &w0, &w2, x[21], y[20]); - word3_muladd(&w1, &w0, &w2, x[22], y[19]); - word3_muladd(&w1, &w0, &w2, x[23], y[18]); - z[41] = w2; w2 = 0; - - word3_muladd(&w2, &w1, &w0, x[19], y[23]); - word3_muladd(&w2, &w1, &w0, x[20], y[22]); - word3_muladd(&w2, &w1, &w0, x[21], y[21]); - word3_muladd(&w2, &w1, &w0, x[22], y[20]); - word3_muladd(&w2, &w1, &w0, x[23], y[19]); - z[42] = w0; w0 = 0; - - word3_muladd(&w0, &w2, &w1, x[20], y[23]); - word3_muladd(&w0, &w2, &w1, x[21], y[22]); - word3_muladd(&w0, &w2, &w1, x[22], y[21]); - word3_muladd(&w0, &w2, &w1, x[23], y[20]); - z[43] = w1; w1 = 0; - - word3_muladd(&w1, &w0, &w2, x[21], y[23]); - word3_muladd(&w1, &w0, &w2, x[22], y[22]); - word3_muladd(&w1, &w0, &w2, x[23], y[21]); - z[44] = w2; w2 = 0; - - word3_muladd(&w2, &w1, &w0, x[22], y[23]); - word3_muladd(&w2, &w1, &w0, x[23], y[22]); - z[45] = w0; w0 = 0; - - word3_muladd(&w0, &w2, &w1, x[23], y[23]); - z[46] = w1; - z[47] = w2; - } - -} diff --git a/src/libs/3rdparty/botan/src/lib/math/mp/mp_core.cpp b/src/libs/3rdparty/botan/src/lib/math/mp/mp_core.cpp deleted file mode 100644 index 5dbf3558a32..00000000000 --- a/src/libs/3rdparty/botan/src/lib/math/mp/mp_core.cpp +++ /dev/null @@ -1,549 +0,0 @@ -/* -* MPI Add, Subtract, Word Multiply -* (C) 1999-2010,2016 Jack Lloyd -* 2006 Luca Piccarreta -* -* Botan is released under the Simplified BSD License (see license.txt) -*/ - -#include <botan/internal/mp_core.h> -#include <botan/internal/mp_asmi.h> -#include <botan/internal/ct_utils.h> -#include <botan/exceptn.h> -#include <botan/mem_ops.h> - -namespace Botan { - -/* -* If cond == 0, does nothing. -* If cond > 0, swaps x[0:size] with y[0:size] -* Runs in constant time -*/ -void bigint_cnd_swap(word cnd, word x[], word y[], size_t size) - { - const word mask = CT::expand_mask(cnd); - - for(size_t i = 0; i != size; ++i) - { - const word a = x[i]; - const word b = y[i]; - x[i] = CT::select(mask, b, a); - y[i] = CT::select(mask, a, b); - } - } - -/* -* If cond > 0 adds x[0:size] to y[0:size] and returns carry -* Runs in constant time -*/ -word bigint_cnd_add(word cnd, word x[], const word y[], size_t size) - { - const word mask = CT::expand_mask(cnd); - - word carry = 0; - - const size_t blocks = size - (size % 8); - word z[8] = { 0 }; - - for(size_t i = 0; i != blocks; i += 8) - { - carry = word8_add3(z, x + i, y + i, carry); - - for(size_t j = 0; j != 8; ++j) - x[i+j] = CT::select(mask, z[j], x[i+j]); - } - - for(size_t i = blocks; i != size; ++i) - { - z[0] = word_add(x[i], y[i], &carry); - x[i] = CT::select(mask, z[0], x[i]); - } - - return carry & mask; - } - -/* -* If cond > 0 subs x[0:size] to y[0:size] and returns borrow -* Runs in constant time -*/ -word bigint_cnd_sub(word cnd, word x[], const word y[], size_t size) - { - const word mask = CT::expand_mask(cnd); - - word carry = 0; - - const size_t blocks = size - (size % 8); - word z[8] = { 0 }; - - for(size_t i = 0; i != blocks; i += 8) - { - carry = word8_sub3(z, x + i, y + i, carry); - - for(size_t j = 0; j != 8; ++j) - x[i+j] = CT::select(mask, z[j], x[i+j]); - } - - for(size_t i = blocks; i != size; ++i) - { - z[0] = word_sub(x[i], y[i], &carry); - x[i] = CT::select(mask, z[0], x[i]); - } - - return carry & mask; - } - -void bigint_cnd_addsub(word mask, word x[], const word y[], size_t size) - { - const size_t blocks = size - (size % 8); - - word carry = 0; - word borrow = 0; - - word t0[8] = { 0 }; - word t1[8] = { 0 }; - - for(size_t i = 0; i != blocks; i += 8) - { - carry = word8_add3(t0, x + i, y + i, carry); - borrow = word8_sub3(t1, x + i, y + i, borrow); - - for(size_t j = 0; j != 8; ++j) - x[i+j] = CT::select(mask, t0[j], t1[j]); - } - - for(size_t i = blocks; i != size; ++i) - { - const word a = word_add(x[i], y[i], &carry); - const word s = word_sub(x[i], y[i], &borrow); - - x[i] = CT::select(mask, a, s); - } - } - -void bigint_cnd_abs(word cnd, word x[], size_t size) - { - const word mask = CT::expand_mask(cnd); - - word carry = mask & 1; - for(size_t i = 0; i != size; ++i) - { - const word z = word_add(~x[i], 0, &carry); - x[i] = CT::select(mask, z, x[i]); - } - } - -/* -* 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; - - BOTAN_ASSERT(x_size >= y_size, "Expected sizes"); - - 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) - { - x[x_size] += bigint_add2_nc(x, x_size, y, y_size); - } - -/* -* 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; - - BOTAN_ASSERT(x_size >= y_size, "Expected sizes"); - - 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); - - BOTAN_ASSERT(!borrow, "y must be greater than x"); - } - -word bigint_sub_abs(word z[], - const word x[], const word y[], size_t N, - word ws[]) - { - // Subtract in both direction then conditional copy out the result - - word* ws0 = ws; - word* ws1 = ws + N; - - word borrow0 = 0; - word borrow1 = 0; - - const size_t blocks = N - (N % 8); - - for(size_t i = 0; i != blocks; i += 8) - { - borrow0 = word8_sub3(ws0 + i, x + i, y + i, borrow0); - borrow1 = word8_sub3(ws1 + i, y + i, x + i, borrow1); - } - - for(size_t i = blocks; i != N; ++i) - { - ws0[i] = word_sub(x[i], y[i], &borrow0); - ws1[i] = word_sub(y[i], x[i], &borrow1); - } - - word mask = CT::conditional_copy_mem(borrow1, z, ws0, ws1, N); - - return CT::select<word>(mask, 0, 1); - } - -/* -* 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; - - BOTAN_ASSERT(x_size >= y_size, "Expected sizes"); - - 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; - } - -/* -* Single Operand Left Shift -*/ -void bigint_shl1(word x[], size_t x_size, size_t word_shift, size_t bit_shift) - { - if(word_shift) - { - copy_mem(x + word_shift, x, x_size); - 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 >> (BOTAN_MP_WORD_BITS - bit_shift)); - } - } - } - -namespace { - -void bigint_shift_right_1(word x[], size_t x_size) - { - word carry = 0; - size_t top = x_size; - - while(top) - { - word w = x[top-1]; - x[top-1] = (w >> 1) | carry; - carry = (w << (BOTAN_MP_WORD_BITS - 1)); - - top--; - } - } - -} - -/* -* Single Operand Right Shift -*/ -void bigint_shr1(word x[], size_t x_size, size_t word_shift, size_t bit_shift) - { - if(word_shift == 0 && bit_shift == 1) - return bigint_shift_right_1(x, x_size); - - 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 << (BOTAN_MP_WORD_BITS - bit_shift)); - - w = x[top-2]; - x[top-2] = (w >> bit_shift) | carry; - carry = (w << (BOTAN_MP_WORD_BITS - bit_shift)); - - w = x[top-3]; - x[top-3] = (w >> bit_shift) | carry; - carry = (w << (BOTAN_MP_WORD_BITS - bit_shift)); - - w = x[top-4]; - x[top-4] = (w >> bit_shift) | carry; - carry = (w << (BOTAN_MP_WORD_BITS - bit_shift)); - - top -= 4; - } - - while(top) - { - word w = x[top-1]; - x[top-1] = (w >> bit_shift) | carry; - carry = (w << (BOTAN_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 >> (BOTAN_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 << (BOTAN_MP_WORD_BITS - bit_shift)); - } - } - } - -/* -* Compare two MP integers -*/ -int32_t 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) - { - if(d == 0) - throw Invalid_Argument("bigint_divop divide by zero"); - -#if defined(BOTAN_HAS_MP_DWORD) - return ((static_cast<dword>(n1) << BOTAN_MP_WORD_BITS) | n0) / d; -#else - - word high = n1 % d, quotient = 0; - - for(size_t i = 0; i != BOTAN_MP_WORD_BITS; ++i) - { - word high_top_bit = (high & MP_WORD_TOP_BIT); - - high <<= 1; - high |= (n0 >> (BOTAN_MP_WORD_BITS-1-i)) & 1; - quotient <<= 1; - - if(high_top_bit || high >= d) - { - high -= d; - quotient |= 1; - } - } - - return quotient; -#endif - } - -/* -* Do a 2-word/1-word Modulo -*/ -word bigint_modop(word n1, word n0, word d) - { -#if defined(BOTAN_HAS_MP_DWORD) - return ((static_cast<dword>(n1) << BOTAN_MP_WORD_BITS) | n0) % d; -#else - word z = bigint_divop(n1, n0, d); - word dummy = 0; - z = word_madd2(z, d, &dummy); - return (n0-z); -#endif - } - -} diff --git a/src/libs/3rdparty/botan/src/lib/math/mp/mp_core.h b/src/libs/3rdparty/botan/src/lib/math/mp/mp_core.h deleted file mode 100644 index 9430c3753f9..00000000000 --- a/src/libs/3rdparty/botan/src/lib/math/mp/mp_core.h +++ /dev/null @@ -1,209 +0,0 @@ -/* -* MPI Algorithms -* (C) 1999-2010 Jack Lloyd -* 2006 Luca Piccarreta -* 2016 Matthias Gierlings -* -* Botan is released under the Simplified BSD License (see license.txt) -*/ - -#ifndef BOTAN_MP_CORE_OPS_H_ -#define BOTAN_MP_CORE_OPS_H_ - -#include <botan/types.h> - -namespace Botan { - -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; - -/* -* If cond == 0, does nothing. -* If cond > 0, swaps x[0:size] with y[0:size] -* Runs in constant time -*/ -BOTAN_TEST_API -void bigint_cnd_swap(word cnd, word x[], word y[], size_t size); - -/* -* If cond > 0 adds x[0:size] and y[0:size] and returns carry -* Runs in constant time -*/ -BOTAN_TEST_API -word bigint_cnd_add(word cnd, word x[], const word y[], size_t size); - -/* -* If cond > 0 subtracts x[0:size] and y[0:size] and returns borrow -* Runs in constant time -*/ -BOTAN_TEST_API -word bigint_cnd_sub(word cnd, word x[], const word y[], size_t size); - -/* -* Equivalent to -* bigint_cnd_add( mask, x, y, size); -* bigint_cnd_sub(~mask, x, y, size); -* -* Mask must be either 0 or all 1 bits -*/ -void bigint_cnd_addsub(word mask, word x[], const word y[], size_t size); - -/* -* 2s complement absolute value -* If cond > 0 sets x to ~x + 1 -* Runs in constant time -*/ -BOTAN_TEST_API -void bigint_cnd_abs(word cnd, word x[], size_t size); - -/** -* 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); - -/** -* Return abs(x-y), ie if x >= y, then compute z = x - y -* Otherwise compute z = y - x -* No borrow is possible since the result is always >= 0 -* -* Returns 1 if x >= y or 0 if x < y -* @param z output array of at least N words -* @param x input array of N words -* @param y input array of N words -* @param N length of x and y -* @param ws array of at least 2*N words -*/ -word bigint_sub_abs(word z[], - const word x[], const word y[], size_t N, - word ws[]); - -/* -* 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); - -/* -* 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 -* @param ws_size size of workspace in words -*/ -void bigint_monty_redc(word z[], - const word p[], size_t p_size, - word p_dash, - word workspace[], - size_t ws_size); - -/** -* Compare x and y returning early -*/ -int32_t 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_mul9(word z[18], const word x[9], const word y[9]); -void bigint_comba_mul16(word z[32], const word x[16], const word y[16]); -void bigint_comba_mul24(word z[48], const word x[24], const word y[24]); - -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_sqr9(word out[18], const word in[9]); -void bigint_comba_sqr16(word out[32], const word in[16]); -void bigint_comba_sqr24(word out[48], const word in[24]); - -/* -* High Level Multiplication/Squaring Interfaces -*/ - -void bigint_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, - word workspace[], size_t ws_size); - -void bigint_sqr(word z[], size_t z_size, - const word x[], size_t x_size, size_t x_sw, - word workspace[], size_t ws_size); - -} - -#endif diff --git a/src/libs/3rdparty/botan/src/lib/math/mp/mp_karat.cpp b/src/libs/3rdparty/botan/src/lib/math/mp/mp_karat.cpp deleted file mode 100644 index 69e2ae6656d..00000000000 --- a/src/libs/3rdparty/botan/src/lib/math/mp/mp_karat.cpp +++ /dev/null @@ -1,403 +0,0 @@ -/* -* Multiplication and Squaring -* (C) 1999-2010,2018 Jack Lloyd -* 2016 Matthias Gierlings -* -* Botan is released under the Simplified BSD License (see license.txt) -*/ - -#include <botan/internal/mp_core.h> -#include <botan/internal/mp_asmi.h> -#include <botan/internal/ct_utils.h> -#include <botan/mem_ops.h> -#include <botan/exceptn.h> - -namespace Botan { - -namespace { - -const size_t KARATSUBA_MULTIPLY_THRESHOLD = 32; -const size_t KARATSUBA_SQUARE_THRESHOLD = 32; - -/* -* Simple O(N^2) Multiplication -*/ -void basecase_mul(word z[], size_t z_size, - const word x[], size_t x_size, - const word y[], size_t y_size) - { - if(z_size < x_size + y_size) - throw Invalid_Argument("basecase_mul z_size too small"); - - const size_t x_size_8 = x_size - (x_size % 8); - - clear_mem(z, z_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; - } - } - -void basecase_sqr(word z[], size_t z_size, - const word x[], size_t x_size) - { - if(z_size < 2*x_size) - throw Invalid_Argument("basecase_sqr z_size too small"); - - const size_t x_size_8 = x_size - (x_size % 8); - - clear_mem(z, z_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; - } - } - -/* -* 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 == 9) - return bigint_comba_mul9(z, x, y); - else if(N == 16) - return bigint_comba_mul16(z, x, y); - else if(N == 24) - return bigint_comba_mul24(z, x, y); - else - return basecase_mul(z, 2*N, 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; - - word* ws0 = workspace; - word* ws1 = workspace + N; - - clear_mem(workspace, 2*N); - - /* - * If either of cmp0 or cmp1 is zero then z0 or z1 resp is zero here, - * resulting in a no-op - z0*z1 will be equal to zero so we don't need to do - * anything, clear_mem above already set the correct result. - * - * However we ignore the result of the comparisons and always perform the - * subtractions and recursively multiply to avoid the timing channel. - */ - - // First compute (X_lo - X_hi)*(Y_hi - Y_lo) - const word cmp0 = bigint_sub_abs(z0, x0, x1, N2, workspace); - const word cmp1 = bigint_sub_abs(z1, y1, y0, N2, workspace); - - karatsuba_mul(ws0, z0, z1, N2, ws1); - - // Compute X_lo * Y_lo - karatsuba_mul(z0, x0, y0, N2, ws1); - - // Compute X_hi * Y_hi - karatsuba_mul(z1, x1, y1, N2, ws1); - - const word ws_carry = bigint_add3_nc(ws1, z0, N, z1, N); - word z_carry = bigint_add2_nc(z + N2, N, ws1, N); - - z_carry += bigint_add2_nc(z + N + N2, N2, &ws_carry, 1); - bigint_add2_nc(z + N + N2, N2, &z_carry, 1); - - clear_mem(workspace + N, N2); - - const word neg_mask = CT::is_equal<word>(cmp0, cmp1); - - bigint_cnd_addsub(neg_mask, z + N2, workspace, 2*N-N2); - } - -/* -* 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 == 9) - return bigint_comba_sqr9(z, x); - else if(N == 16) - return bigint_comba_sqr16(z, x); - else if(N == 24) - return bigint_comba_sqr24(z, x); - else - return basecase_sqr(z, 2*N, x, N); - } - - const size_t N2 = N / 2; - - const word* x0 = x; - const word* x1 = x + N2; - word* z0 = z; - word* z1 = z + N; - - word* ws0 = workspace; - word* ws1 = workspace + N; - - clear_mem(workspace, 2*N); - - // See comment in karatsuba_mul - bigint_sub_abs(z0, x0, x1, N2, workspace); - karatsuba_sqr(ws0, z0, N2, ws1); - - karatsuba_sqr(z0, x0, N2, ws1); - karatsuba_sqr(z1, x1, N2, ws1); - - const word ws_carry = bigint_add3_nc(ws1, z0, N, z1, N); - word z_carry = bigint_add2_nc(z + N2, N, ws1, 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 (result of bigint_sub_abs) is != 0, - * however if cmp==0 then ws0[0:N] == 0 and avoiding the jump hides a - * timing channel. - */ - bigint_sub2(z + N2, 2*N-N2, ws0, 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; - } - -template<size_t SZ> -inline bool sized_for_comba_mul(size_t x_sw, size_t x_size, - size_t y_sw, size_t y_size, - size_t z_size) - { - return (x_sw <= SZ && x_size >= SZ && - y_sw <= SZ && y_size >= SZ && - z_size >= 2*SZ); - } - -template<size_t SZ> -inline bool sized_for_comba_sqr(size_t x_sw, size_t x_size, - size_t z_size) - { - return (x_sw <= SZ && x_size >= SZ && z_size >= 2*SZ); - } - -} - -void bigint_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, - word workspace[], size_t ws_size) - { - clear_mem(z, z_size); - - 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(sized_for_comba_mul<4>(x_sw, x_size, y_sw, y_size, z_size)) - { - bigint_comba_mul4(z, x, y); - } - else if(sized_for_comba_mul<6>(x_sw, x_size, y_sw, y_size, z_size)) - { - bigint_comba_mul6(z, x, y); - } - else if(sized_for_comba_mul<8>(x_sw, x_size, y_sw, y_size, z_size)) - { - bigint_comba_mul8(z, x, y); - } - else if(sized_for_comba_mul<9>(x_sw, x_size, y_sw, y_size, z_size)) - { - bigint_comba_mul9(z, x, y); - } - else if(sized_for_comba_mul<16>(x_sw, x_size, y_sw, y_size, z_size)) - { - bigint_comba_mul16(z, x, y); - } - else if(sized_for_comba_mul<24>(x_sw, x_size, y_sw, y_size, z_size)) - { - bigint_comba_mul24(z, x, y); - } - else if(x_sw < KARATSUBA_MULTIPLY_THRESHOLD || - y_sw < KARATSUBA_MULTIPLY_THRESHOLD || - !workspace) - { - basecase_mul(z, z_size, 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 && z_size >= 2*N && ws_size >= 2*N) - karatsuba_mul(z, x, y, N, workspace); - else - basecase_mul(z, z_size, x, x_sw, y, y_sw); - } - } - -/* -* Squaring Algorithm Dispatcher -*/ -void bigint_sqr(word z[], size_t z_size, - const word x[], size_t x_size, size_t x_sw, - word workspace[], size_t ws_size) - { - clear_mem(z, z_size); - - BOTAN_ASSERT(z_size/2 >= x_sw, "Output size is sufficient"); - - if(x_sw == 1) - { - bigint_linmul3(z, x, x_sw, x[0]); - } - else if(sized_for_comba_sqr<4>(x_sw, x_size, z_size)) - { - bigint_comba_sqr4(z, x); - } - else if(sized_for_comba_sqr<6>(x_sw, x_size, z_size)) - { - bigint_comba_sqr6(z, x); - } - else if(sized_for_comba_sqr<8>(x_sw, x_size, z_size)) - { - bigint_comba_sqr8(z, x); - } - else if(sized_for_comba_sqr<9>(x_sw, x_size, z_size)) - { - bigint_comba_sqr9(z, x); - } - else if(sized_for_comba_sqr<16>(x_sw, x_size, z_size)) - { - bigint_comba_sqr16(z, x); - } - else if(sized_for_comba_sqr<24>(x_sw, x_size, z_size)) - { - bigint_comba_sqr24(z, x); - } - else if(x_size < KARATSUBA_SQUARE_THRESHOLD || !workspace) - { - basecase_sqr(z, z_size, x, x_sw); - } - else - { - const size_t N = karatsuba_size(z_size, x_size, x_sw); - - if(N && z_size >= 2*N && ws_size >= 2*N) - karatsuba_sqr(z, x, N, workspace); - else - basecase_sqr(z, z_size, x, x_sw); - } - } - -} diff --git a/src/libs/3rdparty/botan/src/lib/math/mp/mp_madd.h b/src/libs/3rdparty/botan/src/lib/math/mp/mp_madd.h deleted file mode 100644 index 43c769c7c8f..00000000000 --- a/src/libs/3rdparty/botan/src/lib/math/mp/mp_madd.h +++ /dev/null @@ -1,158 +0,0 @@ -/* -* Lowest Level MPI Algorithms -* (C) 1999-2008,2013 Jack Lloyd -* 2006 Luca Piccarreta -* -* Botan is released under the Simplified BSD License (see license.txt) -*/ - -#ifndef BOTAN_MP_WORD_MULADD_H_ -#define BOTAN_MP_WORD_MULADD_H_ - -#include <botan/types.h> -#include <botan/mul128.h> - -namespace Botan { - -#if (BOTAN_MP_WORD_BITS == 32) - typedef uint64_t dword; - #define BOTAN_HAS_MP_DWORD - -#elif (BOTAN_MP_WORD_BITS == 64) - #if defined(BOTAN_TARGET_HAS_NATIVE_UINT128) - typedef uint128_t dword; - #define BOTAN_HAS_MP_DWORD - #else - // No native 128 bit integer type; use mul64x64_128 instead - #endif - -#else - #error BOTAN_MP_WORD_BITS must be 32 or 64 -#endif - -#if defined(BOTAN_TARGET_ARCH_IS_X86_32) && (BOTAN_MP_WORD_BITS == 32) - - #if defined(BOTAN_USE_GCC_INLINE_ASM) - #define BOTAN_MP_USE_X86_32_ASM - #elif defined(BOTAN_BUILD_COMPILER_IS_MSVC) - #define BOTAN_MP_USE_X86_32_MSVC_ASM - #endif - -#elif defined(BOTAN_TARGET_ARCH_IS_X86_64) && (BOTAN_MP_WORD_BITS == 64) && (BOTAN_USE_GCC_INLINE_ASM) - #define BOTAN_MP_USE_X86_64_ASM -#endif - -#if defined(BOTAN_MP_USE_X86_32_ASM) || defined(BOTAN_MP_USE_X86_64_ASM) - #define ASM(x) x "\n\t" -#endif - -/* -* Word Multiply/Add -*/ -inline word word_madd2(word a, word b, word* c) - { -#if defined(BOTAN_MP_USE_X86_32_ASM) - 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; - -#elif defined(BOTAN_MP_USE_X86_64_ASM) - 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; - -#elif 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_MP_USE_X86_32_ASM) - 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; - -#elif defined(BOTAN_MP_USE_X86_64_ASM) - 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; - -#elif 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 - } - -#if defined(ASM) - #undef ASM -#endif - -} - -#endif diff --git a/src/libs/3rdparty/botan/src/lib/math/mp/mp_monty.cpp b/src/libs/3rdparty/botan/src/lib/math/mp/mp_monty.cpp deleted file mode 100644 index e5dda705ce3..00000000000 --- a/src/libs/3rdparty/botan/src/lib/math/mp/mp_monty.cpp +++ /dev/null @@ -1,135 +0,0 @@ -/* -* Montgomery Reduction -* (C) 1999-2011 Jack Lloyd -* 2006 Luca Piccarreta -* 2016 Matthias Gierlings -* -* Botan is released under the Simplified BSD License (see license.txt) -*/ - -#include <botan/internal/mp_core.h> -#include <botan/internal/mp_monty.h> -#include <botan/internal/mp_madd.h> -#include <botan/internal/mp_asmi.h> -#include <botan/internal/ct_utils.h> -#include <botan/mem_ops.h> -#include <botan/exceptn.h> - -namespace Botan { - -namespace { - -/* -* Montgomery reduction - product scanning form -* -* https://www.iacr.org/archive/ches2005/006.pdf -* https://eprint.iacr.org/2013/882.pdf -* https://www.microsoft.com/en-us/research/wp-content/uploads/1996/01/j37acmon.pdf -*/ -void bigint_monty_redc_generic(word z[], size_t z_size, - const word p[], size_t p_size, word p_dash, - word ws[]) - { - word w2 = 0, w1 = 0, w0 = 0; - - w0 = z[0]; - - ws[0] = w0 * p_dash; - - word3_muladd(&w2, &w1, &w0, ws[0], p[0]); - - w0 = w1; - w1 = w2; - w2 = 0; - - for(size_t i = 1; i != p_size; ++i) - { - for(size_t j = 0; j < i; ++j) - { - word3_muladd(&w2, &w1, &w0, ws[j], p[i-j]); - } - - word3_add(&w2, &w1, &w0, z[i]); - - ws[i] = w0 * p_dash; - - word3_muladd(&w2, &w1, &w0, ws[i], p[0]); - - w0 = w1; - w1 = w2; - w2 = 0; - } - - for(size_t i = 0; i != p_size; ++i) - { - for(size_t j = i + 1; j != p_size; ++j) - { - word3_muladd(&w2, &w1, &w0, ws[j], p[p_size + i-j]); - } - - word3_add(&w2, &w1, &w0, z[p_size+i]); - - ws[i] = w0; - w0 = w1; - w1 = w2; - w2 = 0; - } - - word3_add(&w2, &w1, &w0, z[z_size-1]); - - ws[p_size] = w0; - ws[p_size+1] = w1; - - /* - * The result might need to be reduced mod p. To avoid a timing - * channel, always perform the subtraction. If in the compution - * of x - p a borrow is required then x was already < p. - * - * x starts at ws[0] and is p_size+1 bytes long. - * x - p starts at ws[p_size+1] and is also p_size+1 bytes log - * - * Select which address to copy from indexing off of the final - * borrow. - */ - - // word borrow = bigint_sub3(ws + p_size + 1, ws, p_size + 1, p, p_size); - word borrow = 0; - for(size_t i = 0; i != p_size; ++i) - ws[p_size + 1 + i] = word_sub(ws[i], p[i], &borrow); - ws[2*p_size+1] = word_sub(ws[p_size], 0, &borrow); - - CT::conditional_copy_mem(borrow, z, ws, ws + (p_size + 1), (p_size + 1)); - clear_mem(z + p_size, z_size - p_size - 2); - - // This check comes after we've used it but that's ok here - CT::unpoison(&borrow, 1); - BOTAN_ASSERT(borrow == 0 || borrow == 1, "Expected borrow"); - } - -} - -void bigint_monty_redc(word z[], - const word p[], size_t p_size, word p_dash, - word ws[], size_t ws_size) - { - const size_t z_size = 2*(p_size+1); - - BOTAN_ARG_CHECK(ws_size >= z_size, "workspace too small"); - - if(p_size == 4) - bigint_monty_redc_4(z, p, p_dash, ws); - else if(p_size == 6) - bigint_monty_redc_6(z, p, p_dash, ws); - else if(p_size == 8) - bigint_monty_redc_8(z, p, p_dash, ws); - else if(p_size == 16) - bigint_monty_redc_16(z, p, p_dash, ws); - else if(p_size == 24) - bigint_monty_redc_24(z, p, p_dash, ws); - else if(p_size == 32) - bigint_monty_redc_32(z, p, p_dash, ws); - else - bigint_monty_redc_generic(z, z_size, p, p_size, p_dash, ws); - } - -} diff --git a/src/libs/3rdparty/botan/src/lib/math/mp/mp_monty.h b/src/libs/3rdparty/botan/src/lib/math/mp/mp_monty.h deleted file mode 100644 index 7462272d5c5..00000000000 --- a/src/libs/3rdparty/botan/src/lib/math/mp/mp_monty.h +++ /dev/null @@ -1,31 +0,0 @@ -/* -* (C) 2018 Jack Lloyd -* -* Botan is released under the Simplified BSD License (see license.txt) -*/ - -#ifndef BOTAN_MP_MONTY_H_ -#define BOTAN_MP_MONTY_H_ - -#include <botan/types.h> - -namespace Botan { - -/* -* Each of these functions makes the following assumptions: -* -* z_size >= 2*(p_size + 1) -* ws_size >= z_size -*/ - -void bigint_monty_redc_4(word z[], const word p[], word p_dash, word ws[]); -void bigint_monty_redc_6(word z[], const word p[], word p_dash, word ws[]); -void bigint_monty_redc_8(word z[], const word p[], word p_dash, word ws[]); -void bigint_monty_redc_16(word z[], const word p[], word p_dash, word ws[]); -void bigint_monty_redc_24(word z[], const word p[], word p_dash, word ws[]); -void bigint_monty_redc_32(word z[], const word p[], word p_dash, word ws[]); - - -} - -#endif diff --git a/src/libs/3rdparty/botan/src/lib/math/mp/mp_monty_n.cpp b/src/libs/3rdparty/botan/src/lib/math/mp/mp_monty_n.cpp deleted file mode 100644 index 0331d4a0731..00000000000 --- a/src/libs/3rdparty/botan/src/lib/math/mp/mp_monty_n.cpp +++ /dev/null @@ -1,2614 +0,0 @@ -/* -* This file was automatically generated by ./src/scripts/monty.py on 2018-06-11 -* All manual changes will be lost. Edit the script instead. -* -* Botan is released under the Simplified BSD License (see license.txt) -*/ - -#include <botan/internal/mp_monty.h> -#include <botan/internal/mp_core.h> -#include <botan/internal/mp_asmi.h> -#include <botan/internal/ct_utils.h> - -namespace Botan { - -void bigint_monty_redc_4(word z[], const word p[4], word p_dash, word ws[]) - { - word w2 = 0, w1 = 0, w0 = 0; - w0 = z[0]; - ws[0] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[0], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[1]); - word3_add(&w2, &w1, &w0, z[1]); - ws[1] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[1], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[2]); - word3_muladd(&w2, &w1, &w0, ws[1], p[1]); - word3_add(&w2, &w1, &w0, z[2]); - ws[2] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[2], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[3]); - word3_muladd(&w2, &w1, &w0, ws[1], p[2]); - word3_muladd(&w2, &w1, &w0, ws[2], p[1]); - word3_add(&w2, &w1, &w0, z[3]); - ws[3] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[3], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[1], p[3]); - word3_muladd(&w2, &w1, &w0, ws[2], p[2]); - word3_muladd(&w2, &w1, &w0, ws[3], p[1]); - word3_add(&w2, &w1, &w0, z[4]); - ws[0] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[2], p[3]); - word3_muladd(&w2, &w1, &w0, ws[3], p[2]); - word3_add(&w2, &w1, &w0, z[5]); - ws[1] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[3], p[3]); - word3_add(&w2, &w1, &w0, z[6]); - ws[2] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_add(&w2, &w1, &w0, z[7]); - ws[3] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_add(&w2, &w1, &w0, z[9]); - ws[4] = w0; - ws[5] = w1; - word borrow = 0; - ws[5] = word_sub(ws[0], p[0], &borrow); - ws[6] = word_sub(ws[1], p[1], &borrow); - ws[7] = word_sub(ws[2], p[2], &borrow); - ws[8] = word_sub(ws[3], p[3], &borrow); - ws[9] = word_sub(ws[4], 0, &borrow); - CT::conditional_copy_mem(borrow, z, ws, ws + 5, 5); - clear_mem(z + 4, 2*(4+1) - 4); - } - -void bigint_monty_redc_6(word z[], const word p[6], word p_dash, word ws[]) - { - word w2 = 0, w1 = 0, w0 = 0; - w0 = z[0]; - ws[0] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[0], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[1]); - word3_add(&w2, &w1, &w0, z[1]); - ws[1] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[1], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[2]); - word3_muladd(&w2, &w1, &w0, ws[1], p[1]); - word3_add(&w2, &w1, &w0, z[2]); - ws[2] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[2], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[3]); - word3_muladd(&w2, &w1, &w0, ws[1], p[2]); - word3_muladd(&w2, &w1, &w0, ws[2], p[1]); - word3_add(&w2, &w1, &w0, z[3]); - ws[3] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[3], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[4]); - word3_muladd(&w2, &w1, &w0, ws[1], p[3]); - word3_muladd(&w2, &w1, &w0, ws[2], p[2]); - word3_muladd(&w2, &w1, &w0, ws[3], p[1]); - word3_add(&w2, &w1, &w0, z[4]); - ws[4] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[4], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[5]); - word3_muladd(&w2, &w1, &w0, ws[1], p[4]); - word3_muladd(&w2, &w1, &w0, ws[2], p[3]); - word3_muladd(&w2, &w1, &w0, ws[3], p[2]); - word3_muladd(&w2, &w1, &w0, ws[4], p[1]); - word3_add(&w2, &w1, &w0, z[5]); - ws[5] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[5], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[1], p[5]); - word3_muladd(&w2, &w1, &w0, ws[2], p[4]); - word3_muladd(&w2, &w1, &w0, ws[3], p[3]); - word3_muladd(&w2, &w1, &w0, ws[4], p[2]); - word3_muladd(&w2, &w1, &w0, ws[5], p[1]); - word3_add(&w2, &w1, &w0, z[6]); - ws[0] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[2], p[5]); - word3_muladd(&w2, &w1, &w0, ws[3], p[4]); - word3_muladd(&w2, &w1, &w0, ws[4], p[3]); - word3_muladd(&w2, &w1, &w0, ws[5], p[2]); - word3_add(&w2, &w1, &w0, z[7]); - ws[1] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[3], p[5]); - word3_muladd(&w2, &w1, &w0, ws[4], p[4]); - word3_muladd(&w2, &w1, &w0, ws[5], p[3]); - word3_add(&w2, &w1, &w0, z[8]); - ws[2] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[4], p[5]); - word3_muladd(&w2, &w1, &w0, ws[5], p[4]); - word3_add(&w2, &w1, &w0, z[9]); - ws[3] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[5], p[5]); - word3_add(&w2, &w1, &w0, z[10]); - ws[4] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_add(&w2, &w1, &w0, z[11]); - ws[5] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_add(&w2, &w1, &w0, z[13]); - ws[6] = w0; - ws[7] = w1; - word borrow = 0; - ws[7] = word_sub(ws[0], p[0], &borrow); - ws[8] = word_sub(ws[1], p[1], &borrow); - ws[9] = word_sub(ws[2], p[2], &borrow); - ws[10] = word_sub(ws[3], p[3], &borrow); - ws[11] = word_sub(ws[4], p[4], &borrow); - ws[12] = word_sub(ws[5], p[5], &borrow); - ws[13] = word_sub(ws[6], 0, &borrow); - CT::conditional_copy_mem(borrow, z, ws, ws + 7, 7); - clear_mem(z + 6, 2*(6+1) - 6); - } - -void bigint_monty_redc_8(word z[], const word p[8], word p_dash, word ws[]) - { - word w2 = 0, w1 = 0, w0 = 0; - w0 = z[0]; - ws[0] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[0], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[1]); - word3_add(&w2, &w1, &w0, z[1]); - ws[1] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[1], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[2]); - word3_muladd(&w2, &w1, &w0, ws[1], p[1]); - word3_add(&w2, &w1, &w0, z[2]); - ws[2] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[2], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[3]); - word3_muladd(&w2, &w1, &w0, ws[1], p[2]); - word3_muladd(&w2, &w1, &w0, ws[2], p[1]); - word3_add(&w2, &w1, &w0, z[3]); - ws[3] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[3], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[4]); - word3_muladd(&w2, &w1, &w0, ws[1], p[3]); - word3_muladd(&w2, &w1, &w0, ws[2], p[2]); - word3_muladd(&w2, &w1, &w0, ws[3], p[1]); - word3_add(&w2, &w1, &w0, z[4]); - ws[4] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[4], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[5]); - word3_muladd(&w2, &w1, &w0, ws[1], p[4]); - word3_muladd(&w2, &w1, &w0, ws[2], p[3]); - word3_muladd(&w2, &w1, &w0, ws[3], p[2]); - word3_muladd(&w2, &w1, &w0, ws[4], p[1]); - word3_add(&w2, &w1, &w0, z[5]); - ws[5] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[5], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[6]); - word3_muladd(&w2, &w1, &w0, ws[1], p[5]); - word3_muladd(&w2, &w1, &w0, ws[2], p[4]); - word3_muladd(&w2, &w1, &w0, ws[3], p[3]); - word3_muladd(&w2, &w1, &w0, ws[4], p[2]); - word3_muladd(&w2, &w1, &w0, ws[5], p[1]); - word3_add(&w2, &w1, &w0, z[6]); - ws[6] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[6], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[7]); - word3_muladd(&w2, &w1, &w0, ws[1], p[6]); - word3_muladd(&w2, &w1, &w0, ws[2], p[5]); - word3_muladd(&w2, &w1, &w0, ws[3], p[4]); - word3_muladd(&w2, &w1, &w0, ws[4], p[3]); - word3_muladd(&w2, &w1, &w0, ws[5], p[2]); - word3_muladd(&w2, &w1, &w0, ws[6], p[1]); - word3_add(&w2, &w1, &w0, z[7]); - ws[7] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[7], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[1], p[7]); - word3_muladd(&w2, &w1, &w0, ws[2], p[6]); - word3_muladd(&w2, &w1, &w0, ws[3], p[5]); - word3_muladd(&w2, &w1, &w0, ws[4], p[4]); - word3_muladd(&w2, &w1, &w0, ws[5], p[3]); - word3_muladd(&w2, &w1, &w0, ws[6], p[2]); - word3_muladd(&w2, &w1, &w0, ws[7], p[1]); - word3_add(&w2, &w1, &w0, z[8]); - ws[0] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[2], p[7]); - word3_muladd(&w2, &w1, &w0, ws[3], p[6]); - word3_muladd(&w2, &w1, &w0, ws[4], p[5]); - word3_muladd(&w2, &w1, &w0, ws[5], p[4]); - word3_muladd(&w2, &w1, &w0, ws[6], p[3]); - word3_muladd(&w2, &w1, &w0, ws[7], p[2]); - word3_add(&w2, &w1, &w0, z[9]); - ws[1] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[3], p[7]); - word3_muladd(&w2, &w1, &w0, ws[4], p[6]); - word3_muladd(&w2, &w1, &w0, ws[5], p[5]); - word3_muladd(&w2, &w1, &w0, ws[6], p[4]); - word3_muladd(&w2, &w1, &w0, ws[7], p[3]); - word3_add(&w2, &w1, &w0, z[10]); - ws[2] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[4], p[7]); - word3_muladd(&w2, &w1, &w0, ws[5], p[6]); - word3_muladd(&w2, &w1, &w0, ws[6], p[5]); - word3_muladd(&w2, &w1, &w0, ws[7], p[4]); - word3_add(&w2, &w1, &w0, z[11]); - ws[3] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[5], p[7]); - word3_muladd(&w2, &w1, &w0, ws[6], p[6]); - word3_muladd(&w2, &w1, &w0, ws[7], p[5]); - word3_add(&w2, &w1, &w0, z[12]); - ws[4] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[6], p[7]); - word3_muladd(&w2, &w1, &w0, ws[7], p[6]); - word3_add(&w2, &w1, &w0, z[13]); - ws[5] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[7], p[7]); - word3_add(&w2, &w1, &w0, z[14]); - ws[6] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_add(&w2, &w1, &w0, z[15]); - ws[7] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_add(&w2, &w1, &w0, z[17]); - ws[8] = w0; - ws[9] = w1; - word borrow = 0; - ws[9] = word_sub(ws[0], p[0], &borrow); - ws[10] = word_sub(ws[1], p[1], &borrow); - ws[11] = word_sub(ws[2], p[2], &borrow); - ws[12] = word_sub(ws[3], p[3], &borrow); - ws[13] = word_sub(ws[4], p[4], &borrow); - ws[14] = word_sub(ws[5], p[5], &borrow); - ws[15] = word_sub(ws[6], p[6], &borrow); - ws[16] = word_sub(ws[7], p[7], &borrow); - ws[17] = word_sub(ws[8], 0, &borrow); - CT::conditional_copy_mem(borrow, z, ws, ws + 9, 9); - clear_mem(z + 8, 2*(8+1) - 8); - } - -void bigint_monty_redc_16(word z[], const word p[16], word p_dash, word ws[]) - { - word w2 = 0, w1 = 0, w0 = 0; - w0 = z[0]; - ws[0] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[0], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[1]); - word3_add(&w2, &w1, &w0, z[1]); - ws[1] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[1], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[2]); - word3_muladd(&w2, &w1, &w0, ws[1], p[1]); - word3_add(&w2, &w1, &w0, z[2]); - ws[2] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[2], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[3]); - word3_muladd(&w2, &w1, &w0, ws[1], p[2]); - word3_muladd(&w2, &w1, &w0, ws[2], p[1]); - word3_add(&w2, &w1, &w0, z[3]); - ws[3] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[3], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[4]); - word3_muladd(&w2, &w1, &w0, ws[1], p[3]); - word3_muladd(&w2, &w1, &w0, ws[2], p[2]); - word3_muladd(&w2, &w1, &w0, ws[3], p[1]); - word3_add(&w2, &w1, &w0, z[4]); - ws[4] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[4], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[5]); - word3_muladd(&w2, &w1, &w0, ws[1], p[4]); - word3_muladd(&w2, &w1, &w0, ws[2], p[3]); - word3_muladd(&w2, &w1, &w0, ws[3], p[2]); - word3_muladd(&w2, &w1, &w0, ws[4], p[1]); - word3_add(&w2, &w1, &w0, z[5]); - ws[5] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[5], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[6]); - word3_muladd(&w2, &w1, &w0, ws[1], p[5]); - word3_muladd(&w2, &w1, &w0, ws[2], p[4]); - word3_muladd(&w2, &w1, &w0, ws[3], p[3]); - word3_muladd(&w2, &w1, &w0, ws[4], p[2]); - word3_muladd(&w2, &w1, &w0, ws[5], p[1]); - word3_add(&w2, &w1, &w0, z[6]); - ws[6] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[6], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[7]); - word3_muladd(&w2, &w1, &w0, ws[1], p[6]); - word3_muladd(&w2, &w1, &w0, ws[2], p[5]); - word3_muladd(&w2, &w1, &w0, ws[3], p[4]); - word3_muladd(&w2, &w1, &w0, ws[4], p[3]); - word3_muladd(&w2, &w1, &w0, ws[5], p[2]); - word3_muladd(&w2, &w1, &w0, ws[6], p[1]); - word3_add(&w2, &w1, &w0, z[7]); - ws[7] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[7], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[8]); - word3_muladd(&w2, &w1, &w0, ws[1], p[7]); - word3_muladd(&w2, &w1, &w0, ws[2], p[6]); - word3_muladd(&w2, &w1, &w0, ws[3], p[5]); - word3_muladd(&w2, &w1, &w0, ws[4], p[4]); - word3_muladd(&w2, &w1, &w0, ws[5], p[3]); - word3_muladd(&w2, &w1, &w0, ws[6], p[2]); - word3_muladd(&w2, &w1, &w0, ws[7], p[1]); - word3_add(&w2, &w1, &w0, z[8]); - ws[8] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[8], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[9]); - word3_muladd(&w2, &w1, &w0, ws[1], p[8]); - word3_muladd(&w2, &w1, &w0, ws[2], p[7]); - word3_muladd(&w2, &w1, &w0, ws[3], p[6]); - word3_muladd(&w2, &w1, &w0, ws[4], p[5]); - word3_muladd(&w2, &w1, &w0, ws[5], p[4]); - word3_muladd(&w2, &w1, &w0, ws[6], p[3]); - word3_muladd(&w2, &w1, &w0, ws[7], p[2]); - word3_muladd(&w2, &w1, &w0, ws[8], p[1]); - word3_add(&w2, &w1, &w0, z[9]); - ws[9] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[9], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[10]); - word3_muladd(&w2, &w1, &w0, ws[1], p[9]); - word3_muladd(&w2, &w1, &w0, ws[2], p[8]); - word3_muladd(&w2, &w1, &w0, ws[3], p[7]); - word3_muladd(&w2, &w1, &w0, ws[4], p[6]); - word3_muladd(&w2, &w1, &w0, ws[5], p[5]); - word3_muladd(&w2, &w1, &w0, ws[6], p[4]); - word3_muladd(&w2, &w1, &w0, ws[7], p[3]); - word3_muladd(&w2, &w1, &w0, ws[8], p[2]); - word3_muladd(&w2, &w1, &w0, ws[9], p[1]); - word3_add(&w2, &w1, &w0, z[10]); - ws[10] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[10], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[11]); - word3_muladd(&w2, &w1, &w0, ws[1], p[10]); - word3_muladd(&w2, &w1, &w0, ws[2], p[9]); - word3_muladd(&w2, &w1, &w0, ws[3], p[8]); - word3_muladd(&w2, &w1, &w0, ws[4], p[7]); - word3_muladd(&w2, &w1, &w0, ws[5], p[6]); - word3_muladd(&w2, &w1, &w0, ws[6], p[5]); - word3_muladd(&w2, &w1, &w0, ws[7], p[4]); - word3_muladd(&w2, &w1, &w0, ws[8], p[3]); - word3_muladd(&w2, &w1, &w0, ws[9], p[2]); - word3_muladd(&w2, &w1, &w0, ws[10], p[1]); - word3_add(&w2, &w1, &w0, z[11]); - ws[11] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[11], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[12]); - word3_muladd(&w2, &w1, &w0, ws[1], p[11]); - word3_muladd(&w2, &w1, &w0, ws[2], p[10]); - word3_muladd(&w2, &w1, &w0, ws[3], p[9]); - word3_muladd(&w2, &w1, &w0, ws[4], p[8]); - word3_muladd(&w2, &w1, &w0, ws[5], p[7]); - word3_muladd(&w2, &w1, &w0, ws[6], p[6]); - word3_muladd(&w2, &w1, &w0, ws[7], p[5]); - word3_muladd(&w2, &w1, &w0, ws[8], p[4]); - word3_muladd(&w2, &w1, &w0, ws[9], p[3]); - word3_muladd(&w2, &w1, &w0, ws[10], p[2]); - word3_muladd(&w2, &w1, &w0, ws[11], p[1]); - word3_add(&w2, &w1, &w0, z[12]); - ws[12] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[12], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[13]); - word3_muladd(&w2, &w1, &w0, ws[1], p[12]); - word3_muladd(&w2, &w1, &w0, ws[2], p[11]); - word3_muladd(&w2, &w1, &w0, ws[3], p[10]); - word3_muladd(&w2, &w1, &w0, ws[4], p[9]); - word3_muladd(&w2, &w1, &w0, ws[5], p[8]); - word3_muladd(&w2, &w1, &w0, ws[6], p[7]); - word3_muladd(&w2, &w1, &w0, ws[7], p[6]); - word3_muladd(&w2, &w1, &w0, ws[8], p[5]); - word3_muladd(&w2, &w1, &w0, ws[9], p[4]); - word3_muladd(&w2, &w1, &w0, ws[10], p[3]); - word3_muladd(&w2, &w1, &w0, ws[11], p[2]); - word3_muladd(&w2, &w1, &w0, ws[12], p[1]); - word3_add(&w2, &w1, &w0, z[13]); - ws[13] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[13], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[14]); - word3_muladd(&w2, &w1, &w0, ws[1], p[13]); - word3_muladd(&w2, &w1, &w0, ws[2], p[12]); - word3_muladd(&w2, &w1, &w0, ws[3], p[11]); - word3_muladd(&w2, &w1, &w0, ws[4], p[10]); - word3_muladd(&w2, &w1, &w0, ws[5], p[9]); - word3_muladd(&w2, &w1, &w0, ws[6], p[8]); - word3_muladd(&w2, &w1, &w0, ws[7], p[7]); - word3_muladd(&w2, &w1, &w0, ws[8], p[6]); - word3_muladd(&w2, &w1, &w0, ws[9], p[5]); - word3_muladd(&w2, &w1, &w0, ws[10], p[4]); - word3_muladd(&w2, &w1, &w0, ws[11], p[3]); - word3_muladd(&w2, &w1, &w0, ws[12], p[2]); - word3_muladd(&w2, &w1, &w0, ws[13], p[1]); - word3_add(&w2, &w1, &w0, z[14]); - ws[14] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[14], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[15]); - word3_muladd(&w2, &w1, &w0, ws[1], p[14]); - word3_muladd(&w2, &w1, &w0, ws[2], p[13]); - word3_muladd(&w2, &w1, &w0, ws[3], p[12]); - word3_muladd(&w2, &w1, &w0, ws[4], p[11]); - word3_muladd(&w2, &w1, &w0, ws[5], p[10]); - word3_muladd(&w2, &w1, &w0, ws[6], p[9]); - word3_muladd(&w2, &w1, &w0, ws[7], p[8]); - word3_muladd(&w2, &w1, &w0, ws[8], p[7]); - word3_muladd(&w2, &w1, &w0, ws[9], p[6]); - word3_muladd(&w2, &w1, &w0, ws[10], p[5]); - word3_muladd(&w2, &w1, &w0, ws[11], p[4]); - word3_muladd(&w2, &w1, &w0, ws[12], p[3]); - word3_muladd(&w2, &w1, &w0, ws[13], p[2]); - word3_muladd(&w2, &w1, &w0, ws[14], p[1]); - word3_add(&w2, &w1, &w0, z[15]); - ws[15] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[15], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[1], p[15]); - word3_muladd(&w2, &w1, &w0, ws[2], p[14]); - word3_muladd(&w2, &w1, &w0, ws[3], p[13]); - word3_muladd(&w2, &w1, &w0, ws[4], p[12]); - word3_muladd(&w2, &w1, &w0, ws[5], p[11]); - word3_muladd(&w2, &w1, &w0, ws[6], p[10]); - word3_muladd(&w2, &w1, &w0, ws[7], p[9]); - word3_muladd(&w2, &w1, &w0, ws[8], p[8]); - word3_muladd(&w2, &w1, &w0, ws[9], p[7]); - word3_muladd(&w2, &w1, &w0, ws[10], p[6]); - word3_muladd(&w2, &w1, &w0, ws[11], p[5]); - word3_muladd(&w2, &w1, &w0, ws[12], p[4]); - word3_muladd(&w2, &w1, &w0, ws[13], p[3]); - word3_muladd(&w2, &w1, &w0, ws[14], p[2]); - word3_muladd(&w2, &w1, &w0, ws[15], p[1]); - word3_add(&w2, &w1, &w0, z[16]); - ws[0] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[2], p[15]); - word3_muladd(&w2, &w1, &w0, ws[3], p[14]); - word3_muladd(&w2, &w1, &w0, ws[4], p[13]); - word3_muladd(&w2, &w1, &w0, ws[5], p[12]); - word3_muladd(&w2, &w1, &w0, ws[6], p[11]); - word3_muladd(&w2, &w1, &w0, ws[7], p[10]); - word3_muladd(&w2, &w1, &w0, ws[8], p[9]); - word3_muladd(&w2, &w1, &w0, ws[9], p[8]); - word3_muladd(&w2, &w1, &w0, ws[10], p[7]); - word3_muladd(&w2, &w1, &w0, ws[11], p[6]); - word3_muladd(&w2, &w1, &w0, ws[12], p[5]); - word3_muladd(&w2, &w1, &w0, ws[13], p[4]); - word3_muladd(&w2, &w1, &w0, ws[14], p[3]); - word3_muladd(&w2, &w1, &w0, ws[15], p[2]); - word3_add(&w2, &w1, &w0, z[17]); - ws[1] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[3], p[15]); - word3_muladd(&w2, &w1, &w0, ws[4], p[14]); - word3_muladd(&w2, &w1, &w0, ws[5], p[13]); - word3_muladd(&w2, &w1, &w0, ws[6], p[12]); - word3_muladd(&w2, &w1, &w0, ws[7], p[11]); - word3_muladd(&w2, &w1, &w0, ws[8], p[10]); - word3_muladd(&w2, &w1, &w0, ws[9], p[9]); - word3_muladd(&w2, &w1, &w0, ws[10], p[8]); - word3_muladd(&w2, &w1, &w0, ws[11], p[7]); - word3_muladd(&w2, &w1, &w0, ws[12], p[6]); - word3_muladd(&w2, &w1, &w0, ws[13], p[5]); - word3_muladd(&w2, &w1, &w0, ws[14], p[4]); - word3_muladd(&w2, &w1, &w0, ws[15], p[3]); - word3_add(&w2, &w1, &w0, z[18]); - ws[2] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[4], p[15]); - word3_muladd(&w2, &w1, &w0, ws[5], p[14]); - word3_muladd(&w2, &w1, &w0, ws[6], p[13]); - word3_muladd(&w2, &w1, &w0, ws[7], p[12]); - word3_muladd(&w2, &w1, &w0, ws[8], p[11]); - word3_muladd(&w2, &w1, &w0, ws[9], p[10]); - word3_muladd(&w2, &w1, &w0, ws[10], p[9]); - word3_muladd(&w2, &w1, &w0, ws[11], p[8]); - word3_muladd(&w2, &w1, &w0, ws[12], p[7]); - word3_muladd(&w2, &w1, &w0, ws[13], p[6]); - word3_muladd(&w2, &w1, &w0, ws[14], p[5]); - word3_muladd(&w2, &w1, &w0, ws[15], p[4]); - word3_add(&w2, &w1, &w0, z[19]); - ws[3] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[5], p[15]); - word3_muladd(&w2, &w1, &w0, ws[6], p[14]); - word3_muladd(&w2, &w1, &w0, ws[7], p[13]); - word3_muladd(&w2, &w1, &w0, ws[8], p[12]); - word3_muladd(&w2, &w1, &w0, ws[9], p[11]); - word3_muladd(&w2, &w1, &w0, ws[10], p[10]); - word3_muladd(&w2, &w1, &w0, ws[11], p[9]); - word3_muladd(&w2, &w1, &w0, ws[12], p[8]); - word3_muladd(&w2, &w1, &w0, ws[13], p[7]); - word3_muladd(&w2, &w1, &w0, ws[14], p[6]); - word3_muladd(&w2, &w1, &w0, ws[15], p[5]); - word3_add(&w2, &w1, &w0, z[20]); - ws[4] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[6], p[15]); - word3_muladd(&w2, &w1, &w0, ws[7], p[14]); - word3_muladd(&w2, &w1, &w0, ws[8], p[13]); - word3_muladd(&w2, &w1, &w0, ws[9], p[12]); - word3_muladd(&w2, &w1, &w0, ws[10], p[11]); - word3_muladd(&w2, &w1, &w0, ws[11], p[10]); - word3_muladd(&w2, &w1, &w0, ws[12], p[9]); - word3_muladd(&w2, &w1, &w0, ws[13], p[8]); - word3_muladd(&w2, &w1, &w0, ws[14], p[7]); - word3_muladd(&w2, &w1, &w0, ws[15], p[6]); - word3_add(&w2, &w1, &w0, z[21]); - ws[5] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[7], p[15]); - word3_muladd(&w2, &w1, &w0, ws[8], p[14]); - word3_muladd(&w2, &w1, &w0, ws[9], p[13]); - word3_muladd(&w2, &w1, &w0, ws[10], p[12]); - word3_muladd(&w2, &w1, &w0, ws[11], p[11]); - word3_muladd(&w2, &w1, &w0, ws[12], p[10]); - word3_muladd(&w2, &w1, &w0, ws[13], p[9]); - word3_muladd(&w2, &w1, &w0, ws[14], p[8]); - word3_muladd(&w2, &w1, &w0, ws[15], p[7]); - word3_add(&w2, &w1, &w0, z[22]); - ws[6] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[8], p[15]); - word3_muladd(&w2, &w1, &w0, ws[9], p[14]); - word3_muladd(&w2, &w1, &w0, ws[10], p[13]); - word3_muladd(&w2, &w1, &w0, ws[11], p[12]); - word3_muladd(&w2, &w1, &w0, ws[12], p[11]); - word3_muladd(&w2, &w1, &w0, ws[13], p[10]); - word3_muladd(&w2, &w1, &w0, ws[14], p[9]); - word3_muladd(&w2, &w1, &w0, ws[15], p[8]); - word3_add(&w2, &w1, &w0, z[23]); - ws[7] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[9], p[15]); - word3_muladd(&w2, &w1, &w0, ws[10], p[14]); - word3_muladd(&w2, &w1, &w0, ws[11], p[13]); - word3_muladd(&w2, &w1, &w0, ws[12], p[12]); - word3_muladd(&w2, &w1, &w0, ws[13], p[11]); - word3_muladd(&w2, &w1, &w0, ws[14], p[10]); - word3_muladd(&w2, &w1, &w0, ws[15], p[9]); - word3_add(&w2, &w1, &w0, z[24]); - ws[8] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[10], p[15]); - word3_muladd(&w2, &w1, &w0, ws[11], p[14]); - word3_muladd(&w2, &w1, &w0, ws[12], p[13]); - word3_muladd(&w2, &w1, &w0, ws[13], p[12]); - word3_muladd(&w2, &w1, &w0, ws[14], p[11]); - word3_muladd(&w2, &w1, &w0, ws[15], p[10]); - word3_add(&w2, &w1, &w0, z[25]); - ws[9] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[11], p[15]); - word3_muladd(&w2, &w1, &w0, ws[12], p[14]); - word3_muladd(&w2, &w1, &w0, ws[13], p[13]); - word3_muladd(&w2, &w1, &w0, ws[14], p[12]); - word3_muladd(&w2, &w1, &w0, ws[15], p[11]); - word3_add(&w2, &w1, &w0, z[26]); - ws[10] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[12], p[15]); - word3_muladd(&w2, &w1, &w0, ws[13], p[14]); - word3_muladd(&w2, &w1, &w0, ws[14], p[13]); - word3_muladd(&w2, &w1, &w0, ws[15], p[12]); - word3_add(&w2, &w1, &w0, z[27]); - ws[11] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[13], p[15]); - word3_muladd(&w2, &w1, &w0, ws[14], p[14]); - word3_muladd(&w2, &w1, &w0, ws[15], p[13]); - word3_add(&w2, &w1, &w0, z[28]); - ws[12] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[14], p[15]); - word3_muladd(&w2, &w1, &w0, ws[15], p[14]); - word3_add(&w2, &w1, &w0, z[29]); - ws[13] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[15], p[15]); - word3_add(&w2, &w1, &w0, z[30]); - ws[14] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_add(&w2, &w1, &w0, z[31]); - ws[15] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_add(&w2, &w1, &w0, z[33]); - ws[16] = w0; - ws[17] = w1; - word borrow = bigint_sub3(ws + 16 + 1, ws, 16 + 1, p, 16); - CT::conditional_copy_mem(borrow, z, ws, ws + 17, 17); - clear_mem(z + 16, 2*(16+1) - 16); - } - -void bigint_monty_redc_24(word z[], const word p[24], word p_dash, word ws[]) - { - word w2 = 0, w1 = 0, w0 = 0; - w0 = z[0]; - ws[0] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[0], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[1]); - word3_add(&w2, &w1, &w0, z[1]); - ws[1] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[1], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[2]); - word3_muladd(&w2, &w1, &w0, ws[1], p[1]); - word3_add(&w2, &w1, &w0, z[2]); - ws[2] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[2], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[3]); - word3_muladd(&w2, &w1, &w0, ws[1], p[2]); - word3_muladd(&w2, &w1, &w0, ws[2], p[1]); - word3_add(&w2, &w1, &w0, z[3]); - ws[3] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[3], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[4]); - word3_muladd(&w2, &w1, &w0, ws[1], p[3]); - word3_muladd(&w2, &w1, &w0, ws[2], p[2]); - word3_muladd(&w2, &w1, &w0, ws[3], p[1]); - word3_add(&w2, &w1, &w0, z[4]); - ws[4] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[4], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[5]); - word3_muladd(&w2, &w1, &w0, ws[1], p[4]); - word3_muladd(&w2, &w1, &w0, ws[2], p[3]); - word3_muladd(&w2, &w1, &w0, ws[3], p[2]); - word3_muladd(&w2, &w1, &w0, ws[4], p[1]); - word3_add(&w2, &w1, &w0, z[5]); - ws[5] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[5], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[6]); - word3_muladd(&w2, &w1, &w0, ws[1], p[5]); - word3_muladd(&w2, &w1, &w0, ws[2], p[4]); - word3_muladd(&w2, &w1, &w0, ws[3], p[3]); - word3_muladd(&w2, &w1, &w0, ws[4], p[2]); - word3_muladd(&w2, &w1, &w0, ws[5], p[1]); - word3_add(&w2, &w1, &w0, z[6]); - ws[6] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[6], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[7]); - word3_muladd(&w2, &w1, &w0, ws[1], p[6]); - word3_muladd(&w2, &w1, &w0, ws[2], p[5]); - word3_muladd(&w2, &w1, &w0, ws[3], p[4]); - word3_muladd(&w2, &w1, &w0, ws[4], p[3]); - word3_muladd(&w2, &w1, &w0, ws[5], p[2]); - word3_muladd(&w2, &w1, &w0, ws[6], p[1]); - word3_add(&w2, &w1, &w0, z[7]); - ws[7] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[7], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[8]); - word3_muladd(&w2, &w1, &w0, ws[1], p[7]); - word3_muladd(&w2, &w1, &w0, ws[2], p[6]); - word3_muladd(&w2, &w1, &w0, ws[3], p[5]); - word3_muladd(&w2, &w1, &w0, ws[4], p[4]); - word3_muladd(&w2, &w1, &w0, ws[5], p[3]); - word3_muladd(&w2, &w1, &w0, ws[6], p[2]); - word3_muladd(&w2, &w1, &w0, ws[7], p[1]); - word3_add(&w2, &w1, &w0, z[8]); - ws[8] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[8], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[9]); - word3_muladd(&w2, &w1, &w0, ws[1], p[8]); - word3_muladd(&w2, &w1, &w0, ws[2], p[7]); - word3_muladd(&w2, &w1, &w0, ws[3], p[6]); - word3_muladd(&w2, &w1, &w0, ws[4], p[5]); - word3_muladd(&w2, &w1, &w0, ws[5], p[4]); - word3_muladd(&w2, &w1, &w0, ws[6], p[3]); - word3_muladd(&w2, &w1, &w0, ws[7], p[2]); - word3_muladd(&w2, &w1, &w0, ws[8], p[1]); - word3_add(&w2, &w1, &w0, z[9]); - ws[9] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[9], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[10]); - word3_muladd(&w2, &w1, &w0, ws[1], p[9]); - word3_muladd(&w2, &w1, &w0, ws[2], p[8]); - word3_muladd(&w2, &w1, &w0, ws[3], p[7]); - word3_muladd(&w2, &w1, &w0, ws[4], p[6]); - word3_muladd(&w2, &w1, &w0, ws[5], p[5]); - word3_muladd(&w2, &w1, &w0, ws[6], p[4]); - word3_muladd(&w2, &w1, &w0, ws[7], p[3]); - word3_muladd(&w2, &w1, &w0, ws[8], p[2]); - word3_muladd(&w2, &w1, &w0, ws[9], p[1]); - word3_add(&w2, &w1, &w0, z[10]); - ws[10] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[10], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[11]); - word3_muladd(&w2, &w1, &w0, ws[1], p[10]); - word3_muladd(&w2, &w1, &w0, ws[2], p[9]); - word3_muladd(&w2, &w1, &w0, ws[3], p[8]); - word3_muladd(&w2, &w1, &w0, ws[4], p[7]); - word3_muladd(&w2, &w1, &w0, ws[5], p[6]); - word3_muladd(&w2, &w1, &w0, ws[6], p[5]); - word3_muladd(&w2, &w1, &w0, ws[7], p[4]); - word3_muladd(&w2, &w1, &w0, ws[8], p[3]); - word3_muladd(&w2, &w1, &w0, ws[9], p[2]); - word3_muladd(&w2, &w1, &w0, ws[10], p[1]); - word3_add(&w2, &w1, &w0, z[11]); - ws[11] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[11], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[12]); - word3_muladd(&w2, &w1, &w0, ws[1], p[11]); - word3_muladd(&w2, &w1, &w0, ws[2], p[10]); - word3_muladd(&w2, &w1, &w0, ws[3], p[9]); - word3_muladd(&w2, &w1, &w0, ws[4], p[8]); - word3_muladd(&w2, &w1, &w0, ws[5], p[7]); - word3_muladd(&w2, &w1, &w0, ws[6], p[6]); - word3_muladd(&w2, &w1, &w0, ws[7], p[5]); - word3_muladd(&w2, &w1, &w0, ws[8], p[4]); - word3_muladd(&w2, &w1, &w0, ws[9], p[3]); - word3_muladd(&w2, &w1, &w0, ws[10], p[2]); - word3_muladd(&w2, &w1, &w0, ws[11], p[1]); - word3_add(&w2, &w1, &w0, z[12]); - ws[12] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[12], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[13]); - word3_muladd(&w2, &w1, &w0, ws[1], p[12]); - word3_muladd(&w2, &w1, &w0, ws[2], p[11]); - word3_muladd(&w2, &w1, &w0, ws[3], p[10]); - word3_muladd(&w2, &w1, &w0, ws[4], p[9]); - word3_muladd(&w2, &w1, &w0, ws[5], p[8]); - word3_muladd(&w2, &w1, &w0, ws[6], p[7]); - word3_muladd(&w2, &w1, &w0, ws[7], p[6]); - word3_muladd(&w2, &w1, &w0, ws[8], p[5]); - word3_muladd(&w2, &w1, &w0, ws[9], p[4]); - word3_muladd(&w2, &w1, &w0, ws[10], p[3]); - word3_muladd(&w2, &w1, &w0, ws[11], p[2]); - word3_muladd(&w2, &w1, &w0, ws[12], p[1]); - word3_add(&w2, &w1, &w0, z[13]); - ws[13] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[13], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[14]); - word3_muladd(&w2, &w1, &w0, ws[1], p[13]); - word3_muladd(&w2, &w1, &w0, ws[2], p[12]); - word3_muladd(&w2, &w1, &w0, ws[3], p[11]); - word3_muladd(&w2, &w1, &w0, ws[4], p[10]); - word3_muladd(&w2, &w1, &w0, ws[5], p[9]); - word3_muladd(&w2, &w1, &w0, ws[6], p[8]); - word3_muladd(&w2, &w1, &w0, ws[7], p[7]); - word3_muladd(&w2, &w1, &w0, ws[8], p[6]); - word3_muladd(&w2, &w1, &w0, ws[9], p[5]); - word3_muladd(&w2, &w1, &w0, ws[10], p[4]); - word3_muladd(&w2, &w1, &w0, ws[11], p[3]); - word3_muladd(&w2, &w1, &w0, ws[12], p[2]); - word3_muladd(&w2, &w1, &w0, ws[13], p[1]); - word3_add(&w2, &w1, &w0, z[14]); - ws[14] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[14], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[15]); - word3_muladd(&w2, &w1, &w0, ws[1], p[14]); - word3_muladd(&w2, &w1, &w0, ws[2], p[13]); - word3_muladd(&w2, &w1, &w0, ws[3], p[12]); - word3_muladd(&w2, &w1, &w0, ws[4], p[11]); - word3_muladd(&w2, &w1, &w0, ws[5], p[10]); - word3_muladd(&w2, &w1, &w0, ws[6], p[9]); - word3_muladd(&w2, &w1, &w0, ws[7], p[8]); - word3_muladd(&w2, &w1, &w0, ws[8], p[7]); - word3_muladd(&w2, &w1, &w0, ws[9], p[6]); - word3_muladd(&w2, &w1, &w0, ws[10], p[5]); - word3_muladd(&w2, &w1, &w0, ws[11], p[4]); - word3_muladd(&w2, &w1, &w0, ws[12], p[3]); - word3_muladd(&w2, &w1, &w0, ws[13], p[2]); - word3_muladd(&w2, &w1, &w0, ws[14], p[1]); - word3_add(&w2, &w1, &w0, z[15]); - ws[15] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[15], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[16]); - word3_muladd(&w2, &w1, &w0, ws[1], p[15]); - word3_muladd(&w2, &w1, &w0, ws[2], p[14]); - word3_muladd(&w2, &w1, &w0, ws[3], p[13]); - word3_muladd(&w2, &w1, &w0, ws[4], p[12]); - word3_muladd(&w2, &w1, &w0, ws[5], p[11]); - word3_muladd(&w2, &w1, &w0, ws[6], p[10]); - word3_muladd(&w2, &w1, &w0, ws[7], p[9]); - word3_muladd(&w2, &w1, &w0, ws[8], p[8]); - word3_muladd(&w2, &w1, &w0, ws[9], p[7]); - word3_muladd(&w2, &w1, &w0, ws[10], p[6]); - word3_muladd(&w2, &w1, &w0, ws[11], p[5]); - word3_muladd(&w2, &w1, &w0, ws[12], p[4]); - word3_muladd(&w2, &w1, &w0, ws[13], p[3]); - word3_muladd(&w2, &w1, &w0, ws[14], p[2]); - word3_muladd(&w2, &w1, &w0, ws[15], p[1]); - word3_add(&w2, &w1, &w0, z[16]); - ws[16] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[16], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[17]); - word3_muladd(&w2, &w1, &w0, ws[1], p[16]); - word3_muladd(&w2, &w1, &w0, ws[2], p[15]); - word3_muladd(&w2, &w1, &w0, ws[3], p[14]); - word3_muladd(&w2, &w1, &w0, ws[4], p[13]); - word3_muladd(&w2, &w1, &w0, ws[5], p[12]); - word3_muladd(&w2, &w1, &w0, ws[6], p[11]); - word3_muladd(&w2, &w1, &w0, ws[7], p[10]); - word3_muladd(&w2, &w1, &w0, ws[8], p[9]); - word3_muladd(&w2, &w1, &w0, ws[9], p[8]); - word3_muladd(&w2, &w1, &w0, ws[10], p[7]); - word3_muladd(&w2, &w1, &w0, ws[11], p[6]); - word3_muladd(&w2, &w1, &w0, ws[12], p[5]); - word3_muladd(&w2, &w1, &w0, ws[13], p[4]); - word3_muladd(&w2, &w1, &w0, ws[14], p[3]); - word3_muladd(&w2, &w1, &w0, ws[15], p[2]); - word3_muladd(&w2, &w1, &w0, ws[16], p[1]); - word3_add(&w2, &w1, &w0, z[17]); - ws[17] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[17], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[18]); - word3_muladd(&w2, &w1, &w0, ws[1], p[17]); - word3_muladd(&w2, &w1, &w0, ws[2], p[16]); - word3_muladd(&w2, &w1, &w0, ws[3], p[15]); - word3_muladd(&w2, &w1, &w0, ws[4], p[14]); - word3_muladd(&w2, &w1, &w0, ws[5], p[13]); - word3_muladd(&w2, &w1, &w0, ws[6], p[12]); - word3_muladd(&w2, &w1, &w0, ws[7], p[11]); - word3_muladd(&w2, &w1, &w0, ws[8], p[10]); - word3_muladd(&w2, &w1, &w0, ws[9], p[9]); - word3_muladd(&w2, &w1, &w0, ws[10], p[8]); - word3_muladd(&w2, &w1, &w0, ws[11], p[7]); - word3_muladd(&w2, &w1, &w0, ws[12], p[6]); - word3_muladd(&w2, &w1, &w0, ws[13], p[5]); - word3_muladd(&w2, &w1, &w0, ws[14], p[4]); - word3_muladd(&w2, &w1, &w0, ws[15], p[3]); - word3_muladd(&w2, &w1, &w0, ws[16], p[2]); - word3_muladd(&w2, &w1, &w0, ws[17], p[1]); - word3_add(&w2, &w1, &w0, z[18]); - ws[18] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[18], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[19]); - word3_muladd(&w2, &w1, &w0, ws[1], p[18]); - word3_muladd(&w2, &w1, &w0, ws[2], p[17]); - word3_muladd(&w2, &w1, &w0, ws[3], p[16]); - word3_muladd(&w2, &w1, &w0, ws[4], p[15]); - word3_muladd(&w2, &w1, &w0, ws[5], p[14]); - word3_muladd(&w2, &w1, &w0, ws[6], p[13]); - word3_muladd(&w2, &w1, &w0, ws[7], p[12]); - word3_muladd(&w2, &w1, &w0, ws[8], p[11]); - word3_muladd(&w2, &w1, &w0, ws[9], p[10]); - word3_muladd(&w2, &w1, &w0, ws[10], p[9]); - word3_muladd(&w2, &w1, &w0, ws[11], p[8]); - word3_muladd(&w2, &w1, &w0, ws[12], p[7]); - word3_muladd(&w2, &w1, &w0, ws[13], p[6]); - word3_muladd(&w2, &w1, &w0, ws[14], p[5]); - word3_muladd(&w2, &w1, &w0, ws[15], p[4]); - word3_muladd(&w2, &w1, &w0, ws[16], p[3]); - word3_muladd(&w2, &w1, &w0, ws[17], p[2]); - word3_muladd(&w2, &w1, &w0, ws[18], p[1]); - word3_add(&w2, &w1, &w0, z[19]); - ws[19] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[19], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[20]); - word3_muladd(&w2, &w1, &w0, ws[1], p[19]); - word3_muladd(&w2, &w1, &w0, ws[2], p[18]); - word3_muladd(&w2, &w1, &w0, ws[3], p[17]); - word3_muladd(&w2, &w1, &w0, ws[4], p[16]); - word3_muladd(&w2, &w1, &w0, ws[5], p[15]); - word3_muladd(&w2, &w1, &w0, ws[6], p[14]); - word3_muladd(&w2, &w1, &w0, ws[7], p[13]); - word3_muladd(&w2, &w1, &w0, ws[8], p[12]); - word3_muladd(&w2, &w1, &w0, ws[9], p[11]); - word3_muladd(&w2, &w1, &w0, ws[10], p[10]); - word3_muladd(&w2, &w1, &w0, ws[11], p[9]); - word3_muladd(&w2, &w1, &w0, ws[12], p[8]); - word3_muladd(&w2, &w1, &w0, ws[13], p[7]); - word3_muladd(&w2, &w1, &w0, ws[14], p[6]); - word3_muladd(&w2, &w1, &w0, ws[15], p[5]); - word3_muladd(&w2, &w1, &w0, ws[16], p[4]); - word3_muladd(&w2, &w1, &w0, ws[17], p[3]); - word3_muladd(&w2, &w1, &w0, ws[18], p[2]); - word3_muladd(&w2, &w1, &w0, ws[19], p[1]); - word3_add(&w2, &w1, &w0, z[20]); - ws[20] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[20], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[21]); - word3_muladd(&w2, &w1, &w0, ws[1], p[20]); - word3_muladd(&w2, &w1, &w0, ws[2], p[19]); - word3_muladd(&w2, &w1, &w0, ws[3], p[18]); - word3_muladd(&w2, &w1, &w0, ws[4], p[17]); - word3_muladd(&w2, &w1, &w0, ws[5], p[16]); - word3_muladd(&w2, &w1, &w0, ws[6], p[15]); - word3_muladd(&w2, &w1, &w0, ws[7], p[14]); - word3_muladd(&w2, &w1, &w0, ws[8], p[13]); - word3_muladd(&w2, &w1, &w0, ws[9], p[12]); - word3_muladd(&w2, &w1, &w0, ws[10], p[11]); - word3_muladd(&w2, &w1, &w0, ws[11], p[10]); - word3_muladd(&w2, &w1, &w0, ws[12], p[9]); - word3_muladd(&w2, &w1, &w0, ws[13], p[8]); - word3_muladd(&w2, &w1, &w0, ws[14], p[7]); - word3_muladd(&w2, &w1, &w0, ws[15], p[6]); - word3_muladd(&w2, &w1, &w0, ws[16], p[5]); - word3_muladd(&w2, &w1, &w0, ws[17], p[4]); - word3_muladd(&w2, &w1, &w0, ws[18], p[3]); - word3_muladd(&w2, &w1, &w0, ws[19], p[2]); - word3_muladd(&w2, &w1, &w0, ws[20], p[1]); - word3_add(&w2, &w1, &w0, z[21]); - ws[21] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[21], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[22]); - word3_muladd(&w2, &w1, &w0, ws[1], p[21]); - word3_muladd(&w2, &w1, &w0, ws[2], p[20]); - word3_muladd(&w2, &w1, &w0, ws[3], p[19]); - word3_muladd(&w2, &w1, &w0, ws[4], p[18]); - word3_muladd(&w2, &w1, &w0, ws[5], p[17]); - word3_muladd(&w2, &w1, &w0, ws[6], p[16]); - word3_muladd(&w2, &w1, &w0, ws[7], p[15]); - word3_muladd(&w2, &w1, &w0, ws[8], p[14]); - word3_muladd(&w2, &w1, &w0, ws[9], p[13]); - word3_muladd(&w2, &w1, &w0, ws[10], p[12]); - word3_muladd(&w2, &w1, &w0, ws[11], p[11]); - word3_muladd(&w2, &w1, &w0, ws[12], p[10]); - word3_muladd(&w2, &w1, &w0, ws[13], p[9]); - word3_muladd(&w2, &w1, &w0, ws[14], p[8]); - word3_muladd(&w2, &w1, &w0, ws[15], p[7]); - word3_muladd(&w2, &w1, &w0, ws[16], p[6]); - word3_muladd(&w2, &w1, &w0, ws[17], p[5]); - word3_muladd(&w2, &w1, &w0, ws[18], p[4]); - word3_muladd(&w2, &w1, &w0, ws[19], p[3]); - word3_muladd(&w2, &w1, &w0, ws[20], p[2]); - word3_muladd(&w2, &w1, &w0, ws[21], p[1]); - word3_add(&w2, &w1, &w0, z[22]); - ws[22] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[22], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[23]); - word3_muladd(&w2, &w1, &w0, ws[1], p[22]); - word3_muladd(&w2, &w1, &w0, ws[2], p[21]); - word3_muladd(&w2, &w1, &w0, ws[3], p[20]); - word3_muladd(&w2, &w1, &w0, ws[4], p[19]); - word3_muladd(&w2, &w1, &w0, ws[5], p[18]); - word3_muladd(&w2, &w1, &w0, ws[6], p[17]); - word3_muladd(&w2, &w1, &w0, ws[7], p[16]); - word3_muladd(&w2, &w1, &w0, ws[8], p[15]); - word3_muladd(&w2, &w1, &w0, ws[9], p[14]); - word3_muladd(&w2, &w1, &w0, ws[10], p[13]); - word3_muladd(&w2, &w1, &w0, ws[11], p[12]); - word3_muladd(&w2, &w1, &w0, ws[12], p[11]); - word3_muladd(&w2, &w1, &w0, ws[13], p[10]); - word3_muladd(&w2, &w1, &w0, ws[14], p[9]); - word3_muladd(&w2, &w1, &w0, ws[15], p[8]); - word3_muladd(&w2, &w1, &w0, ws[16], p[7]); - word3_muladd(&w2, &w1, &w0, ws[17], p[6]); - word3_muladd(&w2, &w1, &w0, ws[18], p[5]); - word3_muladd(&w2, &w1, &w0, ws[19], p[4]); - word3_muladd(&w2, &w1, &w0, ws[20], p[3]); - word3_muladd(&w2, &w1, &w0, ws[21], p[2]); - word3_muladd(&w2, &w1, &w0, ws[22], p[1]); - word3_add(&w2, &w1, &w0, z[23]); - ws[23] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[23], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[1], p[23]); - word3_muladd(&w2, &w1, &w0, ws[2], p[22]); - word3_muladd(&w2, &w1, &w0, ws[3], p[21]); - word3_muladd(&w2, &w1, &w0, ws[4], p[20]); - word3_muladd(&w2, &w1, &w0, ws[5], p[19]); - word3_muladd(&w2, &w1, &w0, ws[6], p[18]); - word3_muladd(&w2, &w1, &w0, ws[7], p[17]); - word3_muladd(&w2, &w1, &w0, ws[8], p[16]); - word3_muladd(&w2, &w1, &w0, ws[9], p[15]); - word3_muladd(&w2, &w1, &w0, ws[10], p[14]); - word3_muladd(&w2, &w1, &w0, ws[11], p[13]); - word3_muladd(&w2, &w1, &w0, ws[12], p[12]); - word3_muladd(&w2, &w1, &w0, ws[13], p[11]); - word3_muladd(&w2, &w1, &w0, ws[14], p[10]); - word3_muladd(&w2, &w1, &w0, ws[15], p[9]); - word3_muladd(&w2, &w1, &w0, ws[16], p[8]); - word3_muladd(&w2, &w1, &w0, ws[17], p[7]); - word3_muladd(&w2, &w1, &w0, ws[18], p[6]); - word3_muladd(&w2, &w1, &w0, ws[19], p[5]); - word3_muladd(&w2, &w1, &w0, ws[20], p[4]); - word3_muladd(&w2, &w1, &w0, ws[21], p[3]); - word3_muladd(&w2, &w1, &w0, ws[22], p[2]); - word3_muladd(&w2, &w1, &w0, ws[23], p[1]); - word3_add(&w2, &w1, &w0, z[24]); - ws[0] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[2], p[23]); - word3_muladd(&w2, &w1, &w0, ws[3], p[22]); - word3_muladd(&w2, &w1, &w0, ws[4], p[21]); - word3_muladd(&w2, &w1, &w0, ws[5], p[20]); - word3_muladd(&w2, &w1, &w0, ws[6], p[19]); - word3_muladd(&w2, &w1, &w0, ws[7], p[18]); - word3_muladd(&w2, &w1, &w0, ws[8], p[17]); - word3_muladd(&w2, &w1, &w0, ws[9], p[16]); - word3_muladd(&w2, &w1, &w0, ws[10], p[15]); - word3_muladd(&w2, &w1, &w0, ws[11], p[14]); - word3_muladd(&w2, &w1, &w0, ws[12], p[13]); - word3_muladd(&w2, &w1, &w0, ws[13], p[12]); - word3_muladd(&w2, &w1, &w0, ws[14], p[11]); - word3_muladd(&w2, &w1, &w0, ws[15], p[10]); - word3_muladd(&w2, &w1, &w0, ws[16], p[9]); - word3_muladd(&w2, &w1, &w0, ws[17], p[8]); - word3_muladd(&w2, &w1, &w0, ws[18], p[7]); - word3_muladd(&w2, &w1, &w0, ws[19], p[6]); - word3_muladd(&w2, &w1, &w0, ws[20], p[5]); - word3_muladd(&w2, &w1, &w0, ws[21], p[4]); - word3_muladd(&w2, &w1, &w0, ws[22], p[3]); - word3_muladd(&w2, &w1, &w0, ws[23], p[2]); - word3_add(&w2, &w1, &w0, z[25]); - ws[1] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[3], p[23]); - word3_muladd(&w2, &w1, &w0, ws[4], p[22]); - word3_muladd(&w2, &w1, &w0, ws[5], p[21]); - word3_muladd(&w2, &w1, &w0, ws[6], p[20]); - word3_muladd(&w2, &w1, &w0, ws[7], p[19]); - word3_muladd(&w2, &w1, &w0, ws[8], p[18]); - word3_muladd(&w2, &w1, &w0, ws[9], p[17]); - word3_muladd(&w2, &w1, &w0, ws[10], p[16]); - word3_muladd(&w2, &w1, &w0, ws[11], p[15]); - word3_muladd(&w2, &w1, &w0, ws[12], p[14]); - word3_muladd(&w2, &w1, &w0, ws[13], p[13]); - word3_muladd(&w2, &w1, &w0, ws[14], p[12]); - word3_muladd(&w2, &w1, &w0, ws[15], p[11]); - word3_muladd(&w2, &w1, &w0, ws[16], p[10]); - word3_muladd(&w2, &w1, &w0, ws[17], p[9]); - word3_muladd(&w2, &w1, &w0, ws[18], p[8]); - word3_muladd(&w2, &w1, &w0, ws[19], p[7]); - word3_muladd(&w2, &w1, &w0, ws[20], p[6]); - word3_muladd(&w2, &w1, &w0, ws[21], p[5]); - word3_muladd(&w2, &w1, &w0, ws[22], p[4]); - word3_muladd(&w2, &w1, &w0, ws[23], p[3]); - word3_add(&w2, &w1, &w0, z[26]); - ws[2] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[4], p[23]); - word3_muladd(&w2, &w1, &w0, ws[5], p[22]); - word3_muladd(&w2, &w1, &w0, ws[6], p[21]); - word3_muladd(&w2, &w1, &w0, ws[7], p[20]); - word3_muladd(&w2, &w1, &w0, ws[8], p[19]); - word3_muladd(&w2, &w1, &w0, ws[9], p[18]); - word3_muladd(&w2, &w1, &w0, ws[10], p[17]); - word3_muladd(&w2, &w1, &w0, ws[11], p[16]); - word3_muladd(&w2, &w1, &w0, ws[12], p[15]); - word3_muladd(&w2, &w1, &w0, ws[13], p[14]); - word3_muladd(&w2, &w1, &w0, ws[14], p[13]); - word3_muladd(&w2, &w1, &w0, ws[15], p[12]); - word3_muladd(&w2, &w1, &w0, ws[16], p[11]); - word3_muladd(&w2, &w1, &w0, ws[17], p[10]); - word3_muladd(&w2, &w1, &w0, ws[18], p[9]); - word3_muladd(&w2, &w1, &w0, ws[19], p[8]); - word3_muladd(&w2, &w1, &w0, ws[20], p[7]); - word3_muladd(&w2, &w1, &w0, ws[21], p[6]); - word3_muladd(&w2, &w1, &w0, ws[22], p[5]); - word3_muladd(&w2, &w1, &w0, ws[23], p[4]); - word3_add(&w2, &w1, &w0, z[27]); - ws[3] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[5], p[23]); - word3_muladd(&w2, &w1, &w0, ws[6], p[22]); - word3_muladd(&w2, &w1, &w0, ws[7], p[21]); - word3_muladd(&w2, &w1, &w0, ws[8], p[20]); - word3_muladd(&w2, &w1, &w0, ws[9], p[19]); - word3_muladd(&w2, &w1, &w0, ws[10], p[18]); - word3_muladd(&w2, &w1, &w0, ws[11], p[17]); - word3_muladd(&w2, &w1, &w0, ws[12], p[16]); - word3_muladd(&w2, &w1, &w0, ws[13], p[15]); - word3_muladd(&w2, &w1, &w0, ws[14], p[14]); - word3_muladd(&w2, &w1, &w0, ws[15], p[13]); - word3_muladd(&w2, &w1, &w0, ws[16], p[12]); - word3_muladd(&w2, &w1, &w0, ws[17], p[11]); - word3_muladd(&w2, &w1, &w0, ws[18], p[10]); - word3_muladd(&w2, &w1, &w0, ws[19], p[9]); - word3_muladd(&w2, &w1, &w0, ws[20], p[8]); - word3_muladd(&w2, &w1, &w0, ws[21], p[7]); - word3_muladd(&w2, &w1, &w0, ws[22], p[6]); - word3_muladd(&w2, &w1, &w0, ws[23], p[5]); - word3_add(&w2, &w1, &w0, z[28]); - ws[4] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[6], p[23]); - word3_muladd(&w2, &w1, &w0, ws[7], p[22]); - word3_muladd(&w2, &w1, &w0, ws[8], p[21]); - word3_muladd(&w2, &w1, &w0, ws[9], p[20]); - word3_muladd(&w2, &w1, &w0, ws[10], p[19]); - word3_muladd(&w2, &w1, &w0, ws[11], p[18]); - word3_muladd(&w2, &w1, &w0, ws[12], p[17]); - word3_muladd(&w2, &w1, &w0, ws[13], p[16]); - word3_muladd(&w2, &w1, &w0, ws[14], p[15]); - word3_muladd(&w2, &w1, &w0, ws[15], p[14]); - word3_muladd(&w2, &w1, &w0, ws[16], p[13]); - word3_muladd(&w2, &w1, &w0, ws[17], p[12]); - word3_muladd(&w2, &w1, &w0, ws[18], p[11]); - word3_muladd(&w2, &w1, &w0, ws[19], p[10]); - word3_muladd(&w2, &w1, &w0, ws[20], p[9]); - word3_muladd(&w2, &w1, &w0, ws[21], p[8]); - word3_muladd(&w2, &w1, &w0, ws[22], p[7]); - word3_muladd(&w2, &w1, &w0, ws[23], p[6]); - word3_add(&w2, &w1, &w0, z[29]); - ws[5] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[7], p[23]); - word3_muladd(&w2, &w1, &w0, ws[8], p[22]); - word3_muladd(&w2, &w1, &w0, ws[9], p[21]); - word3_muladd(&w2, &w1, &w0, ws[10], p[20]); - word3_muladd(&w2, &w1, &w0, ws[11], p[19]); - word3_muladd(&w2, &w1, &w0, ws[12], p[18]); - word3_muladd(&w2, &w1, &w0, ws[13], p[17]); - word3_muladd(&w2, &w1, &w0, ws[14], p[16]); - word3_muladd(&w2, &w1, &w0, ws[15], p[15]); - word3_muladd(&w2, &w1, &w0, ws[16], p[14]); - word3_muladd(&w2, &w1, &w0, ws[17], p[13]); - word3_muladd(&w2, &w1, &w0, ws[18], p[12]); - word3_muladd(&w2, &w1, &w0, ws[19], p[11]); - word3_muladd(&w2, &w1, &w0, ws[20], p[10]); - word3_muladd(&w2, &w1, &w0, ws[21], p[9]); - word3_muladd(&w2, &w1, &w0, ws[22], p[8]); - word3_muladd(&w2, &w1, &w0, ws[23], p[7]); - word3_add(&w2, &w1, &w0, z[30]); - ws[6] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[8], p[23]); - word3_muladd(&w2, &w1, &w0, ws[9], p[22]); - word3_muladd(&w2, &w1, &w0, ws[10], p[21]); - word3_muladd(&w2, &w1, &w0, ws[11], p[20]); - word3_muladd(&w2, &w1, &w0, ws[12], p[19]); - word3_muladd(&w2, &w1, &w0, ws[13], p[18]); - word3_muladd(&w2, &w1, &w0, ws[14], p[17]); - word3_muladd(&w2, &w1, &w0, ws[15], p[16]); - word3_muladd(&w2, &w1, &w0, ws[16], p[15]); - word3_muladd(&w2, &w1, &w0, ws[17], p[14]); - word3_muladd(&w2, &w1, &w0, ws[18], p[13]); - word3_muladd(&w2, &w1, &w0, ws[19], p[12]); - word3_muladd(&w2, &w1, &w0, ws[20], p[11]); - word3_muladd(&w2, &w1, &w0, ws[21], p[10]); - word3_muladd(&w2, &w1, &w0, ws[22], p[9]); - word3_muladd(&w2, &w1, &w0, ws[23], p[8]); - word3_add(&w2, &w1, &w0, z[31]); - ws[7] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[9], p[23]); - word3_muladd(&w2, &w1, &w0, ws[10], p[22]); - word3_muladd(&w2, &w1, &w0, ws[11], p[21]); - word3_muladd(&w2, &w1, &w0, ws[12], p[20]); - word3_muladd(&w2, &w1, &w0, ws[13], p[19]); - word3_muladd(&w2, &w1, &w0, ws[14], p[18]); - word3_muladd(&w2, &w1, &w0, ws[15], p[17]); - word3_muladd(&w2, &w1, &w0, ws[16], p[16]); - word3_muladd(&w2, &w1, &w0, ws[17], p[15]); - word3_muladd(&w2, &w1, &w0, ws[18], p[14]); - word3_muladd(&w2, &w1, &w0, ws[19], p[13]); - word3_muladd(&w2, &w1, &w0, ws[20], p[12]); - word3_muladd(&w2, &w1, &w0, ws[21], p[11]); - word3_muladd(&w2, &w1, &w0, ws[22], p[10]); - word3_muladd(&w2, &w1, &w0, ws[23], p[9]); - word3_add(&w2, &w1, &w0, z[32]); - ws[8] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[10], p[23]); - word3_muladd(&w2, &w1, &w0, ws[11], p[22]); - word3_muladd(&w2, &w1, &w0, ws[12], p[21]); - word3_muladd(&w2, &w1, &w0, ws[13], p[20]); - word3_muladd(&w2, &w1, &w0, ws[14], p[19]); - word3_muladd(&w2, &w1, &w0, ws[15], p[18]); - word3_muladd(&w2, &w1, &w0, ws[16], p[17]); - word3_muladd(&w2, &w1, &w0, ws[17], p[16]); - word3_muladd(&w2, &w1, &w0, ws[18], p[15]); - word3_muladd(&w2, &w1, &w0, ws[19], p[14]); - word3_muladd(&w2, &w1, &w0, ws[20], p[13]); - word3_muladd(&w2, &w1, &w0, ws[21], p[12]); - word3_muladd(&w2, &w1, &w0, ws[22], p[11]); - word3_muladd(&w2, &w1, &w0, ws[23], p[10]); - word3_add(&w2, &w1, &w0, z[33]); - ws[9] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[11], p[23]); - word3_muladd(&w2, &w1, &w0, ws[12], p[22]); - word3_muladd(&w2, &w1, &w0, ws[13], p[21]); - word3_muladd(&w2, &w1, &w0, ws[14], p[20]); - word3_muladd(&w2, &w1, &w0, ws[15], p[19]); - word3_muladd(&w2, &w1, &w0, ws[16], p[18]); - word3_muladd(&w2, &w1, &w0, ws[17], p[17]); - word3_muladd(&w2, &w1, &w0, ws[18], p[16]); - word3_muladd(&w2, &w1, &w0, ws[19], p[15]); - word3_muladd(&w2, &w1, &w0, ws[20], p[14]); - word3_muladd(&w2, &w1, &w0, ws[21], p[13]); - word3_muladd(&w2, &w1, &w0, ws[22], p[12]); - word3_muladd(&w2, &w1, &w0, ws[23], p[11]); - word3_add(&w2, &w1, &w0, z[34]); - ws[10] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[12], p[23]); - word3_muladd(&w2, &w1, &w0, ws[13], p[22]); - word3_muladd(&w2, &w1, &w0, ws[14], p[21]); - word3_muladd(&w2, &w1, &w0, ws[15], p[20]); - word3_muladd(&w2, &w1, &w0, ws[16], p[19]); - word3_muladd(&w2, &w1, &w0, ws[17], p[18]); - word3_muladd(&w2, &w1, &w0, ws[18], p[17]); - word3_muladd(&w2, &w1, &w0, ws[19], p[16]); - word3_muladd(&w2, &w1, &w0, ws[20], p[15]); - word3_muladd(&w2, &w1, &w0, ws[21], p[14]); - word3_muladd(&w2, &w1, &w0, ws[22], p[13]); - word3_muladd(&w2, &w1, &w0, ws[23], p[12]); - word3_add(&w2, &w1, &w0, z[35]); - ws[11] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[13], p[23]); - word3_muladd(&w2, &w1, &w0, ws[14], p[22]); - word3_muladd(&w2, &w1, &w0, ws[15], p[21]); - word3_muladd(&w2, &w1, &w0, ws[16], p[20]); - word3_muladd(&w2, &w1, &w0, ws[17], p[19]); - word3_muladd(&w2, &w1, &w0, ws[18], p[18]); - word3_muladd(&w2, &w1, &w0, ws[19], p[17]); - word3_muladd(&w2, &w1, &w0, ws[20], p[16]); - word3_muladd(&w2, &w1, &w0, ws[21], p[15]); - word3_muladd(&w2, &w1, &w0, ws[22], p[14]); - word3_muladd(&w2, &w1, &w0, ws[23], p[13]); - word3_add(&w2, &w1, &w0, z[36]); - ws[12] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[14], p[23]); - word3_muladd(&w2, &w1, &w0, ws[15], p[22]); - word3_muladd(&w2, &w1, &w0, ws[16], p[21]); - word3_muladd(&w2, &w1, &w0, ws[17], p[20]); - word3_muladd(&w2, &w1, &w0, ws[18], p[19]); - word3_muladd(&w2, &w1, &w0, ws[19], p[18]); - word3_muladd(&w2, &w1, &w0, ws[20], p[17]); - word3_muladd(&w2, &w1, &w0, ws[21], p[16]); - word3_muladd(&w2, &w1, &w0, ws[22], p[15]); - word3_muladd(&w2, &w1, &w0, ws[23], p[14]); - word3_add(&w2, &w1, &w0, z[37]); - ws[13] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[15], p[23]); - word3_muladd(&w2, &w1, &w0, ws[16], p[22]); - word3_muladd(&w2, &w1, &w0, ws[17], p[21]); - word3_muladd(&w2, &w1, &w0, ws[18], p[20]); - word3_muladd(&w2, &w1, &w0, ws[19], p[19]); - word3_muladd(&w2, &w1, &w0, ws[20], p[18]); - word3_muladd(&w2, &w1, &w0, ws[21], p[17]); - word3_muladd(&w2, &w1, &w0, ws[22], p[16]); - word3_muladd(&w2, &w1, &w0, ws[23], p[15]); - word3_add(&w2, &w1, &w0, z[38]); - ws[14] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[16], p[23]); - word3_muladd(&w2, &w1, &w0, ws[17], p[22]); - word3_muladd(&w2, &w1, &w0, ws[18], p[21]); - word3_muladd(&w2, &w1, &w0, ws[19], p[20]); - word3_muladd(&w2, &w1, &w0, ws[20], p[19]); - word3_muladd(&w2, &w1, &w0, ws[21], p[18]); - word3_muladd(&w2, &w1, &w0, ws[22], p[17]); - word3_muladd(&w2, &w1, &w0, ws[23], p[16]); - word3_add(&w2, &w1, &w0, z[39]); - ws[15] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[17], p[23]); - word3_muladd(&w2, &w1, &w0, ws[18], p[22]); - word3_muladd(&w2, &w1, &w0, ws[19], p[21]); - word3_muladd(&w2, &w1, &w0, ws[20], p[20]); - word3_muladd(&w2, &w1, &w0, ws[21], p[19]); - word3_muladd(&w2, &w1, &w0, ws[22], p[18]); - word3_muladd(&w2, &w1, &w0, ws[23], p[17]); - word3_add(&w2, &w1, &w0, z[40]); - ws[16] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[18], p[23]); - word3_muladd(&w2, &w1, &w0, ws[19], p[22]); - word3_muladd(&w2, &w1, &w0, ws[20], p[21]); - word3_muladd(&w2, &w1, &w0, ws[21], p[20]); - word3_muladd(&w2, &w1, &w0, ws[22], p[19]); - word3_muladd(&w2, &w1, &w0, ws[23], p[18]); - word3_add(&w2, &w1, &w0, z[41]); - ws[17] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[19], p[23]); - word3_muladd(&w2, &w1, &w0, ws[20], p[22]); - word3_muladd(&w2, &w1, &w0, ws[21], p[21]); - word3_muladd(&w2, &w1, &w0, ws[22], p[20]); - word3_muladd(&w2, &w1, &w0, ws[23], p[19]); - word3_add(&w2, &w1, &w0, z[42]); - ws[18] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[20], p[23]); - word3_muladd(&w2, &w1, &w0, ws[21], p[22]); - word3_muladd(&w2, &w1, &w0, ws[22], p[21]); - word3_muladd(&w2, &w1, &w0, ws[23], p[20]); - word3_add(&w2, &w1, &w0, z[43]); - ws[19] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[21], p[23]); - word3_muladd(&w2, &w1, &w0, ws[22], p[22]); - word3_muladd(&w2, &w1, &w0, ws[23], p[21]); - word3_add(&w2, &w1, &w0, z[44]); - ws[20] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[22], p[23]); - word3_muladd(&w2, &w1, &w0, ws[23], p[22]); - word3_add(&w2, &w1, &w0, z[45]); - ws[21] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[23], p[23]); - word3_add(&w2, &w1, &w0, z[46]); - ws[22] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_add(&w2, &w1, &w0, z[47]); - ws[23] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_add(&w2, &w1, &w0, z[49]); - ws[24] = w0; - ws[25] = w1; - word borrow = bigint_sub3(ws + 24 + 1, ws, 24 + 1, p, 24); - CT::conditional_copy_mem(borrow, z, ws, ws + 25, 25); - clear_mem(z + 24, 2*(24+1) - 24); - } - -void bigint_monty_redc_32(word z[], const word p[32], word p_dash, word ws[]) - { - word w2 = 0, w1 = 0, w0 = 0; - w0 = z[0]; - ws[0] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[0], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[1]); - word3_add(&w2, &w1, &w0, z[1]); - ws[1] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[1], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[2]); - word3_muladd(&w2, &w1, &w0, ws[1], p[1]); - word3_add(&w2, &w1, &w0, z[2]); - ws[2] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[2], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[3]); - word3_muladd(&w2, &w1, &w0, ws[1], p[2]); - word3_muladd(&w2, &w1, &w0, ws[2], p[1]); - word3_add(&w2, &w1, &w0, z[3]); - ws[3] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[3], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[4]); - word3_muladd(&w2, &w1, &w0, ws[1], p[3]); - word3_muladd(&w2, &w1, &w0, ws[2], p[2]); - word3_muladd(&w2, &w1, &w0, ws[3], p[1]); - word3_add(&w2, &w1, &w0, z[4]); - ws[4] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[4], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[5]); - word3_muladd(&w2, &w1, &w0, ws[1], p[4]); - word3_muladd(&w2, &w1, &w0, ws[2], p[3]); - word3_muladd(&w2, &w1, &w0, ws[3], p[2]); - word3_muladd(&w2, &w1, &w0, ws[4], p[1]); - word3_add(&w2, &w1, &w0, z[5]); - ws[5] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[5], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[6]); - word3_muladd(&w2, &w1, &w0, ws[1], p[5]); - word3_muladd(&w2, &w1, &w0, ws[2], p[4]); - word3_muladd(&w2, &w1, &w0, ws[3], p[3]); - word3_muladd(&w2, &w1, &w0, ws[4], p[2]); - word3_muladd(&w2, &w1, &w0, ws[5], p[1]); - word3_add(&w2, &w1, &w0, z[6]); - ws[6] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[6], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[7]); - word3_muladd(&w2, &w1, &w0, ws[1], p[6]); - word3_muladd(&w2, &w1, &w0, ws[2], p[5]); - word3_muladd(&w2, &w1, &w0, ws[3], p[4]); - word3_muladd(&w2, &w1, &w0, ws[4], p[3]); - word3_muladd(&w2, &w1, &w0, ws[5], p[2]); - word3_muladd(&w2, &w1, &w0, ws[6], p[1]); - word3_add(&w2, &w1, &w0, z[7]); - ws[7] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[7], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[8]); - word3_muladd(&w2, &w1, &w0, ws[1], p[7]); - word3_muladd(&w2, &w1, &w0, ws[2], p[6]); - word3_muladd(&w2, &w1, &w0, ws[3], p[5]); - word3_muladd(&w2, &w1, &w0, ws[4], p[4]); - word3_muladd(&w2, &w1, &w0, ws[5], p[3]); - word3_muladd(&w2, &w1, &w0, ws[6], p[2]); - word3_muladd(&w2, &w1, &w0, ws[7], p[1]); - word3_add(&w2, &w1, &w0, z[8]); - ws[8] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[8], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[9]); - word3_muladd(&w2, &w1, &w0, ws[1], p[8]); - word3_muladd(&w2, &w1, &w0, ws[2], p[7]); - word3_muladd(&w2, &w1, &w0, ws[3], p[6]); - word3_muladd(&w2, &w1, &w0, ws[4], p[5]); - word3_muladd(&w2, &w1, &w0, ws[5], p[4]); - word3_muladd(&w2, &w1, &w0, ws[6], p[3]); - word3_muladd(&w2, &w1, &w0, ws[7], p[2]); - word3_muladd(&w2, &w1, &w0, ws[8], p[1]); - word3_add(&w2, &w1, &w0, z[9]); - ws[9] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[9], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[10]); - word3_muladd(&w2, &w1, &w0, ws[1], p[9]); - word3_muladd(&w2, &w1, &w0, ws[2], p[8]); - word3_muladd(&w2, &w1, &w0, ws[3], p[7]); - word3_muladd(&w2, &w1, &w0, ws[4], p[6]); - word3_muladd(&w2, &w1, &w0, ws[5], p[5]); - word3_muladd(&w2, &w1, &w0, ws[6], p[4]); - word3_muladd(&w2, &w1, &w0, ws[7], p[3]); - word3_muladd(&w2, &w1, &w0, ws[8], p[2]); - word3_muladd(&w2, &w1, &w0, ws[9], p[1]); - word3_add(&w2, &w1, &w0, z[10]); - ws[10] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[10], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[11]); - word3_muladd(&w2, &w1, &w0, ws[1], p[10]); - word3_muladd(&w2, &w1, &w0, ws[2], p[9]); - word3_muladd(&w2, &w1, &w0, ws[3], p[8]); - word3_muladd(&w2, &w1, &w0, ws[4], p[7]); - word3_muladd(&w2, &w1, &w0, ws[5], p[6]); - word3_muladd(&w2, &w1, &w0, ws[6], p[5]); - word3_muladd(&w2, &w1, &w0, ws[7], p[4]); - word3_muladd(&w2, &w1, &w0, ws[8], p[3]); - word3_muladd(&w2, &w1, &w0, ws[9], p[2]); - word3_muladd(&w2, &w1, &w0, ws[10], p[1]); - word3_add(&w2, &w1, &w0, z[11]); - ws[11] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[11], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[12]); - word3_muladd(&w2, &w1, &w0, ws[1], p[11]); - word3_muladd(&w2, &w1, &w0, ws[2], p[10]); - word3_muladd(&w2, &w1, &w0, ws[3], p[9]); - word3_muladd(&w2, &w1, &w0, ws[4], p[8]); - word3_muladd(&w2, &w1, &w0, ws[5], p[7]); - word3_muladd(&w2, &w1, &w0, ws[6], p[6]); - word3_muladd(&w2, &w1, &w0, ws[7], p[5]); - word3_muladd(&w2, &w1, &w0, ws[8], p[4]); - word3_muladd(&w2, &w1, &w0, ws[9], p[3]); - word3_muladd(&w2, &w1, &w0, ws[10], p[2]); - word3_muladd(&w2, &w1, &w0, ws[11], p[1]); - word3_add(&w2, &w1, &w0, z[12]); - ws[12] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[12], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[13]); - word3_muladd(&w2, &w1, &w0, ws[1], p[12]); - word3_muladd(&w2, &w1, &w0, ws[2], p[11]); - word3_muladd(&w2, &w1, &w0, ws[3], p[10]); - word3_muladd(&w2, &w1, &w0, ws[4], p[9]); - word3_muladd(&w2, &w1, &w0, ws[5], p[8]); - word3_muladd(&w2, &w1, &w0, ws[6], p[7]); - word3_muladd(&w2, &w1, &w0, ws[7], p[6]); - word3_muladd(&w2, &w1, &w0, ws[8], p[5]); - word3_muladd(&w2, &w1, &w0, ws[9], p[4]); - word3_muladd(&w2, &w1, &w0, ws[10], p[3]); - word3_muladd(&w2, &w1, &w0, ws[11], p[2]); - word3_muladd(&w2, &w1, &w0, ws[12], p[1]); - word3_add(&w2, &w1, &w0, z[13]); - ws[13] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[13], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[14]); - word3_muladd(&w2, &w1, &w0, ws[1], p[13]); - word3_muladd(&w2, &w1, &w0, ws[2], p[12]); - word3_muladd(&w2, &w1, &w0, ws[3], p[11]); - word3_muladd(&w2, &w1, &w0, ws[4], p[10]); - word3_muladd(&w2, &w1, &w0, ws[5], p[9]); - word3_muladd(&w2, &w1, &w0, ws[6], p[8]); - word3_muladd(&w2, &w1, &w0, ws[7], p[7]); - word3_muladd(&w2, &w1, &w0, ws[8], p[6]); - word3_muladd(&w2, &w1, &w0, ws[9], p[5]); - word3_muladd(&w2, &w1, &w0, ws[10], p[4]); - word3_muladd(&w2, &w1, &w0, ws[11], p[3]); - word3_muladd(&w2, &w1, &w0, ws[12], p[2]); - word3_muladd(&w2, &w1, &w0, ws[13], p[1]); - word3_add(&w2, &w1, &w0, z[14]); - ws[14] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[14], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[15]); - word3_muladd(&w2, &w1, &w0, ws[1], p[14]); - word3_muladd(&w2, &w1, &w0, ws[2], p[13]); - word3_muladd(&w2, &w1, &w0, ws[3], p[12]); - word3_muladd(&w2, &w1, &w0, ws[4], p[11]); - word3_muladd(&w2, &w1, &w0, ws[5], p[10]); - word3_muladd(&w2, &w1, &w0, ws[6], p[9]); - word3_muladd(&w2, &w1, &w0, ws[7], p[8]); - word3_muladd(&w2, &w1, &w0, ws[8], p[7]); - word3_muladd(&w2, &w1, &w0, ws[9], p[6]); - word3_muladd(&w2, &w1, &w0, ws[10], p[5]); - word3_muladd(&w2, &w1, &w0, ws[11], p[4]); - word3_muladd(&w2, &w1, &w0, ws[12], p[3]); - word3_muladd(&w2, &w1, &w0, ws[13], p[2]); - word3_muladd(&w2, &w1, &w0, ws[14], p[1]); - word3_add(&w2, &w1, &w0, z[15]); - ws[15] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[15], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[16]); - word3_muladd(&w2, &w1, &w0, ws[1], p[15]); - word3_muladd(&w2, &w1, &w0, ws[2], p[14]); - word3_muladd(&w2, &w1, &w0, ws[3], p[13]); - word3_muladd(&w2, &w1, &w0, ws[4], p[12]); - word3_muladd(&w2, &w1, &w0, ws[5], p[11]); - word3_muladd(&w2, &w1, &w0, ws[6], p[10]); - word3_muladd(&w2, &w1, &w0, ws[7], p[9]); - word3_muladd(&w2, &w1, &w0, ws[8], p[8]); - word3_muladd(&w2, &w1, &w0, ws[9], p[7]); - word3_muladd(&w2, &w1, &w0, ws[10], p[6]); - word3_muladd(&w2, &w1, &w0, ws[11], p[5]); - word3_muladd(&w2, &w1, &w0, ws[12], p[4]); - word3_muladd(&w2, &w1, &w0, ws[13], p[3]); - word3_muladd(&w2, &w1, &w0, ws[14], p[2]); - word3_muladd(&w2, &w1, &w0, ws[15], p[1]); - word3_add(&w2, &w1, &w0, z[16]); - ws[16] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[16], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[17]); - word3_muladd(&w2, &w1, &w0, ws[1], p[16]); - word3_muladd(&w2, &w1, &w0, ws[2], p[15]); - word3_muladd(&w2, &w1, &w0, ws[3], p[14]); - word3_muladd(&w2, &w1, &w0, ws[4], p[13]); - word3_muladd(&w2, &w1, &w0, ws[5], p[12]); - word3_muladd(&w2, &w1, &w0, ws[6], p[11]); - word3_muladd(&w2, &w1, &w0, ws[7], p[10]); - word3_muladd(&w2, &w1, &w0, ws[8], p[9]); - word3_muladd(&w2, &w1, &w0, ws[9], p[8]); - word3_muladd(&w2, &w1, &w0, ws[10], p[7]); - word3_muladd(&w2, &w1, &w0, ws[11], p[6]); - word3_muladd(&w2, &w1, &w0, ws[12], p[5]); - word3_muladd(&w2, &w1, &w0, ws[13], p[4]); - word3_muladd(&w2, &w1, &w0, ws[14], p[3]); - word3_muladd(&w2, &w1, &w0, ws[15], p[2]); - word3_muladd(&w2, &w1, &w0, ws[16], p[1]); - word3_add(&w2, &w1, &w0, z[17]); - ws[17] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[17], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[18]); - word3_muladd(&w2, &w1, &w0, ws[1], p[17]); - word3_muladd(&w2, &w1, &w0, ws[2], p[16]); - word3_muladd(&w2, &w1, &w0, ws[3], p[15]); - word3_muladd(&w2, &w1, &w0, ws[4], p[14]); - word3_muladd(&w2, &w1, &w0, ws[5], p[13]); - word3_muladd(&w2, &w1, &w0, ws[6], p[12]); - word3_muladd(&w2, &w1, &w0, ws[7], p[11]); - word3_muladd(&w2, &w1, &w0, ws[8], p[10]); - word3_muladd(&w2, &w1, &w0, ws[9], p[9]); - word3_muladd(&w2, &w1, &w0, ws[10], p[8]); - word3_muladd(&w2, &w1, &w0, ws[11], p[7]); - word3_muladd(&w2, &w1, &w0, ws[12], p[6]); - word3_muladd(&w2, &w1, &w0, ws[13], p[5]); - word3_muladd(&w2, &w1, &w0, ws[14], p[4]); - word3_muladd(&w2, &w1, &w0, ws[15], p[3]); - word3_muladd(&w2, &w1, &w0, ws[16], p[2]); - word3_muladd(&w2, &w1, &w0, ws[17], p[1]); - word3_add(&w2, &w1, &w0, z[18]); - ws[18] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[18], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[19]); - word3_muladd(&w2, &w1, &w0, ws[1], p[18]); - word3_muladd(&w2, &w1, &w0, ws[2], p[17]); - word3_muladd(&w2, &w1, &w0, ws[3], p[16]); - word3_muladd(&w2, &w1, &w0, ws[4], p[15]); - word3_muladd(&w2, &w1, &w0, ws[5], p[14]); - word3_muladd(&w2, &w1, &w0, ws[6], p[13]); - word3_muladd(&w2, &w1, &w0, ws[7], p[12]); - word3_muladd(&w2, &w1, &w0, ws[8], p[11]); - word3_muladd(&w2, &w1, &w0, ws[9], p[10]); - word3_muladd(&w2, &w1, &w0, ws[10], p[9]); - word3_muladd(&w2, &w1, &w0, ws[11], p[8]); - word3_muladd(&w2, &w1, &w0, ws[12], p[7]); - word3_muladd(&w2, &w1, &w0, ws[13], p[6]); - word3_muladd(&w2, &w1, &w0, ws[14], p[5]); - word3_muladd(&w2, &w1, &w0, ws[15], p[4]); - word3_muladd(&w2, &w1, &w0, ws[16], p[3]); - word3_muladd(&w2, &w1, &w0, ws[17], p[2]); - word3_muladd(&w2, &w1, &w0, ws[18], p[1]); - word3_add(&w2, &w1, &w0, z[19]); - ws[19] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[19], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[20]); - word3_muladd(&w2, &w1, &w0, ws[1], p[19]); - word3_muladd(&w2, &w1, &w0, ws[2], p[18]); - word3_muladd(&w2, &w1, &w0, ws[3], p[17]); - word3_muladd(&w2, &w1, &w0, ws[4], p[16]); - word3_muladd(&w2, &w1, &w0, ws[5], p[15]); - word3_muladd(&w2, &w1, &w0, ws[6], p[14]); - word3_muladd(&w2, &w1, &w0, ws[7], p[13]); - word3_muladd(&w2, &w1, &w0, ws[8], p[12]); - word3_muladd(&w2, &w1, &w0, ws[9], p[11]); - word3_muladd(&w2, &w1, &w0, ws[10], p[10]); - word3_muladd(&w2, &w1, &w0, ws[11], p[9]); - word3_muladd(&w2, &w1, &w0, ws[12], p[8]); - word3_muladd(&w2, &w1, &w0, ws[13], p[7]); - word3_muladd(&w2, &w1, &w0, ws[14], p[6]); - word3_muladd(&w2, &w1, &w0, ws[15], p[5]); - word3_muladd(&w2, &w1, &w0, ws[16], p[4]); - word3_muladd(&w2, &w1, &w0, ws[17], p[3]); - word3_muladd(&w2, &w1, &w0, ws[18], p[2]); - word3_muladd(&w2, &w1, &w0, ws[19], p[1]); - word3_add(&w2, &w1, &w0, z[20]); - ws[20] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[20], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[21]); - word3_muladd(&w2, &w1, &w0, ws[1], p[20]); - word3_muladd(&w2, &w1, &w0, ws[2], p[19]); - word3_muladd(&w2, &w1, &w0, ws[3], p[18]); - word3_muladd(&w2, &w1, &w0, ws[4], p[17]); - word3_muladd(&w2, &w1, &w0, ws[5], p[16]); - word3_muladd(&w2, &w1, &w0, ws[6], p[15]); - word3_muladd(&w2, &w1, &w0, ws[7], p[14]); - word3_muladd(&w2, &w1, &w0, ws[8], p[13]); - word3_muladd(&w2, &w1, &w0, ws[9], p[12]); - word3_muladd(&w2, &w1, &w0, ws[10], p[11]); - word3_muladd(&w2, &w1, &w0, ws[11], p[10]); - word3_muladd(&w2, &w1, &w0, ws[12], p[9]); - word3_muladd(&w2, &w1, &w0, ws[13], p[8]); - word3_muladd(&w2, &w1, &w0, ws[14], p[7]); - word3_muladd(&w2, &w1, &w0, ws[15], p[6]); - word3_muladd(&w2, &w1, &w0, ws[16], p[5]); - word3_muladd(&w2, &w1, &w0, ws[17], p[4]); - word3_muladd(&w2, &w1, &w0, ws[18], p[3]); - word3_muladd(&w2, &w1, &w0, ws[19], p[2]); - word3_muladd(&w2, &w1, &w0, ws[20], p[1]); - word3_add(&w2, &w1, &w0, z[21]); - ws[21] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[21], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[22]); - word3_muladd(&w2, &w1, &w0, ws[1], p[21]); - word3_muladd(&w2, &w1, &w0, ws[2], p[20]); - word3_muladd(&w2, &w1, &w0, ws[3], p[19]); - word3_muladd(&w2, &w1, &w0, ws[4], p[18]); - word3_muladd(&w2, &w1, &w0, ws[5], p[17]); - word3_muladd(&w2, &w1, &w0, ws[6], p[16]); - word3_muladd(&w2, &w1, &w0, ws[7], p[15]); - word3_muladd(&w2, &w1, &w0, ws[8], p[14]); - word3_muladd(&w2, &w1, &w0, ws[9], p[13]); - word3_muladd(&w2, &w1, &w0, ws[10], p[12]); - word3_muladd(&w2, &w1, &w0, ws[11], p[11]); - word3_muladd(&w2, &w1, &w0, ws[12], p[10]); - word3_muladd(&w2, &w1, &w0, ws[13], p[9]); - word3_muladd(&w2, &w1, &w0, ws[14], p[8]); - word3_muladd(&w2, &w1, &w0, ws[15], p[7]); - word3_muladd(&w2, &w1, &w0, ws[16], p[6]); - word3_muladd(&w2, &w1, &w0, ws[17], p[5]); - word3_muladd(&w2, &w1, &w0, ws[18], p[4]); - word3_muladd(&w2, &w1, &w0, ws[19], p[3]); - word3_muladd(&w2, &w1, &w0, ws[20], p[2]); - word3_muladd(&w2, &w1, &w0, ws[21], p[1]); - word3_add(&w2, &w1, &w0, z[22]); - ws[22] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[22], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[23]); - word3_muladd(&w2, &w1, &w0, ws[1], p[22]); - word3_muladd(&w2, &w1, &w0, ws[2], p[21]); - word3_muladd(&w2, &w1, &w0, ws[3], p[20]); - word3_muladd(&w2, &w1, &w0, ws[4], p[19]); - word3_muladd(&w2, &w1, &w0, ws[5], p[18]); - word3_muladd(&w2, &w1, &w0, ws[6], p[17]); - word3_muladd(&w2, &w1, &w0, ws[7], p[16]); - word3_muladd(&w2, &w1, &w0, ws[8], p[15]); - word3_muladd(&w2, &w1, &w0, ws[9], p[14]); - word3_muladd(&w2, &w1, &w0, ws[10], p[13]); - word3_muladd(&w2, &w1, &w0, ws[11], p[12]); - word3_muladd(&w2, &w1, &w0, ws[12], p[11]); - word3_muladd(&w2, &w1, &w0, ws[13], p[10]); - word3_muladd(&w2, &w1, &w0, ws[14], p[9]); - word3_muladd(&w2, &w1, &w0, ws[15], p[8]); - word3_muladd(&w2, &w1, &w0, ws[16], p[7]); - word3_muladd(&w2, &w1, &w0, ws[17], p[6]); - word3_muladd(&w2, &w1, &w0, ws[18], p[5]); - word3_muladd(&w2, &w1, &w0, ws[19], p[4]); - word3_muladd(&w2, &w1, &w0, ws[20], p[3]); - word3_muladd(&w2, &w1, &w0, ws[21], p[2]); - word3_muladd(&w2, &w1, &w0, ws[22], p[1]); - word3_add(&w2, &w1, &w0, z[23]); - ws[23] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[23], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[24]); - word3_muladd(&w2, &w1, &w0, ws[1], p[23]); - word3_muladd(&w2, &w1, &w0, ws[2], p[22]); - word3_muladd(&w2, &w1, &w0, ws[3], p[21]); - word3_muladd(&w2, &w1, &w0, ws[4], p[20]); - word3_muladd(&w2, &w1, &w0, ws[5], p[19]); - word3_muladd(&w2, &w1, &w0, ws[6], p[18]); - word3_muladd(&w2, &w1, &w0, ws[7], p[17]); - word3_muladd(&w2, &w1, &w0, ws[8], p[16]); - word3_muladd(&w2, &w1, &w0, ws[9], p[15]); - word3_muladd(&w2, &w1, &w0, ws[10], p[14]); - word3_muladd(&w2, &w1, &w0, ws[11], p[13]); - word3_muladd(&w2, &w1, &w0, ws[12], p[12]); - word3_muladd(&w2, &w1, &w0, ws[13], p[11]); - word3_muladd(&w2, &w1, &w0, ws[14], p[10]); - word3_muladd(&w2, &w1, &w0, ws[15], p[9]); - word3_muladd(&w2, &w1, &w0, ws[16], p[8]); - word3_muladd(&w2, &w1, &w0, ws[17], p[7]); - word3_muladd(&w2, &w1, &w0, ws[18], p[6]); - word3_muladd(&w2, &w1, &w0, ws[19], p[5]); - word3_muladd(&w2, &w1, &w0, ws[20], p[4]); - word3_muladd(&w2, &w1, &w0, ws[21], p[3]); - word3_muladd(&w2, &w1, &w0, ws[22], p[2]); - word3_muladd(&w2, &w1, &w0, ws[23], p[1]); - word3_add(&w2, &w1, &w0, z[24]); - ws[24] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[24], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[25]); - word3_muladd(&w2, &w1, &w0, ws[1], p[24]); - word3_muladd(&w2, &w1, &w0, ws[2], p[23]); - word3_muladd(&w2, &w1, &w0, ws[3], p[22]); - word3_muladd(&w2, &w1, &w0, ws[4], p[21]); - word3_muladd(&w2, &w1, &w0, ws[5], p[20]); - word3_muladd(&w2, &w1, &w0, ws[6], p[19]); - word3_muladd(&w2, &w1, &w0, ws[7], p[18]); - word3_muladd(&w2, &w1, &w0, ws[8], p[17]); - word3_muladd(&w2, &w1, &w0, ws[9], p[16]); - word3_muladd(&w2, &w1, &w0, ws[10], p[15]); - word3_muladd(&w2, &w1, &w0, ws[11], p[14]); - word3_muladd(&w2, &w1, &w0, ws[12], p[13]); - word3_muladd(&w2, &w1, &w0, ws[13], p[12]); - word3_muladd(&w2, &w1, &w0, ws[14], p[11]); - word3_muladd(&w2, &w1, &w0, ws[15], p[10]); - word3_muladd(&w2, &w1, &w0, ws[16], p[9]); - word3_muladd(&w2, &w1, &w0, ws[17], p[8]); - word3_muladd(&w2, &w1, &w0, ws[18], p[7]); - word3_muladd(&w2, &w1, &w0, ws[19], p[6]); - word3_muladd(&w2, &w1, &w0, ws[20], p[5]); - word3_muladd(&w2, &w1, &w0, ws[21], p[4]); - word3_muladd(&w2, &w1, &w0, ws[22], p[3]); - word3_muladd(&w2, &w1, &w0, ws[23], p[2]); - word3_muladd(&w2, &w1, &w0, ws[24], p[1]); - word3_add(&w2, &w1, &w0, z[25]); - ws[25] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[25], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[26]); - word3_muladd(&w2, &w1, &w0, ws[1], p[25]); - word3_muladd(&w2, &w1, &w0, ws[2], p[24]); - word3_muladd(&w2, &w1, &w0, ws[3], p[23]); - word3_muladd(&w2, &w1, &w0, ws[4], p[22]); - word3_muladd(&w2, &w1, &w0, ws[5], p[21]); - word3_muladd(&w2, &w1, &w0, ws[6], p[20]); - word3_muladd(&w2, &w1, &w0, ws[7], p[19]); - word3_muladd(&w2, &w1, &w0, ws[8], p[18]); - word3_muladd(&w2, &w1, &w0, ws[9], p[17]); - word3_muladd(&w2, &w1, &w0, ws[10], p[16]); - word3_muladd(&w2, &w1, &w0, ws[11], p[15]); - word3_muladd(&w2, &w1, &w0, ws[12], p[14]); - word3_muladd(&w2, &w1, &w0, ws[13], p[13]); - word3_muladd(&w2, &w1, &w0, ws[14], p[12]); - word3_muladd(&w2, &w1, &w0, ws[15], p[11]); - word3_muladd(&w2, &w1, &w0, ws[16], p[10]); - word3_muladd(&w2, &w1, &w0, ws[17], p[9]); - word3_muladd(&w2, &w1, &w0, ws[18], p[8]); - word3_muladd(&w2, &w1, &w0, ws[19], p[7]); - word3_muladd(&w2, &w1, &w0, ws[20], p[6]); - word3_muladd(&w2, &w1, &w0, ws[21], p[5]); - word3_muladd(&w2, &w1, &w0, ws[22], p[4]); - word3_muladd(&w2, &w1, &w0, ws[23], p[3]); - word3_muladd(&w2, &w1, &w0, ws[24], p[2]); - word3_muladd(&w2, &w1, &w0, ws[25], p[1]); - word3_add(&w2, &w1, &w0, z[26]); - ws[26] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[26], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[27]); - word3_muladd(&w2, &w1, &w0, ws[1], p[26]); - word3_muladd(&w2, &w1, &w0, ws[2], p[25]); - word3_muladd(&w2, &w1, &w0, ws[3], p[24]); - word3_muladd(&w2, &w1, &w0, ws[4], p[23]); - word3_muladd(&w2, &w1, &w0, ws[5], p[22]); - word3_muladd(&w2, &w1, &w0, ws[6], p[21]); - word3_muladd(&w2, &w1, &w0, ws[7], p[20]); - word3_muladd(&w2, &w1, &w0, ws[8], p[19]); - word3_muladd(&w2, &w1, &w0, ws[9], p[18]); - word3_muladd(&w2, &w1, &w0, ws[10], p[17]); - word3_muladd(&w2, &w1, &w0, ws[11], p[16]); - word3_muladd(&w2, &w1, &w0, ws[12], p[15]); - word3_muladd(&w2, &w1, &w0, ws[13], p[14]); - word3_muladd(&w2, &w1, &w0, ws[14], p[13]); - word3_muladd(&w2, &w1, &w0, ws[15], p[12]); - word3_muladd(&w2, &w1, &w0, ws[16], p[11]); - word3_muladd(&w2, &w1, &w0, ws[17], p[10]); - word3_muladd(&w2, &w1, &w0, ws[18], p[9]); - word3_muladd(&w2, &w1, &w0, ws[19], p[8]); - word3_muladd(&w2, &w1, &w0, ws[20], p[7]); - word3_muladd(&w2, &w1, &w0, ws[21], p[6]); - word3_muladd(&w2, &w1, &w0, ws[22], p[5]); - word3_muladd(&w2, &w1, &w0, ws[23], p[4]); - word3_muladd(&w2, &w1, &w0, ws[24], p[3]); - word3_muladd(&w2, &w1, &w0, ws[25], p[2]); - word3_muladd(&w2, &w1, &w0, ws[26], p[1]); - word3_add(&w2, &w1, &w0, z[27]); - ws[27] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[27], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[28]); - word3_muladd(&w2, &w1, &w0, ws[1], p[27]); - word3_muladd(&w2, &w1, &w0, ws[2], p[26]); - word3_muladd(&w2, &w1, &w0, ws[3], p[25]); - word3_muladd(&w2, &w1, &w0, ws[4], p[24]); - word3_muladd(&w2, &w1, &w0, ws[5], p[23]); - word3_muladd(&w2, &w1, &w0, ws[6], p[22]); - word3_muladd(&w2, &w1, &w0, ws[7], p[21]); - word3_muladd(&w2, &w1, &w0, ws[8], p[20]); - word3_muladd(&w2, &w1, &w0, ws[9], p[19]); - word3_muladd(&w2, &w1, &w0, ws[10], p[18]); - word3_muladd(&w2, &w1, &w0, ws[11], p[17]); - word3_muladd(&w2, &w1, &w0, ws[12], p[16]); - word3_muladd(&w2, &w1, &w0, ws[13], p[15]); - word3_muladd(&w2, &w1, &w0, ws[14], p[14]); - word3_muladd(&w2, &w1, &w0, ws[15], p[13]); - word3_muladd(&w2, &w1, &w0, ws[16], p[12]); - word3_muladd(&w2, &w1, &w0, ws[17], p[11]); - word3_muladd(&w2, &w1, &w0, ws[18], p[10]); - word3_muladd(&w2, &w1, &w0, ws[19], p[9]); - word3_muladd(&w2, &w1, &w0, ws[20], p[8]); - word3_muladd(&w2, &w1, &w0, ws[21], p[7]); - word3_muladd(&w2, &w1, &w0, ws[22], p[6]); - word3_muladd(&w2, &w1, &w0, ws[23], p[5]); - word3_muladd(&w2, &w1, &w0, ws[24], p[4]); - word3_muladd(&w2, &w1, &w0, ws[25], p[3]); - word3_muladd(&w2, &w1, &w0, ws[26], p[2]); - word3_muladd(&w2, &w1, &w0, ws[27], p[1]); - word3_add(&w2, &w1, &w0, z[28]); - ws[28] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[28], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[29]); - word3_muladd(&w2, &w1, &w0, ws[1], p[28]); - word3_muladd(&w2, &w1, &w0, ws[2], p[27]); - word3_muladd(&w2, &w1, &w0, ws[3], p[26]); - word3_muladd(&w2, &w1, &w0, ws[4], p[25]); - word3_muladd(&w2, &w1, &w0, ws[5], p[24]); - word3_muladd(&w2, &w1, &w0, ws[6], p[23]); - word3_muladd(&w2, &w1, &w0, ws[7], p[22]); - word3_muladd(&w2, &w1, &w0, ws[8], p[21]); - word3_muladd(&w2, &w1, &w0, ws[9], p[20]); - word3_muladd(&w2, &w1, &w0, ws[10], p[19]); - word3_muladd(&w2, &w1, &w0, ws[11], p[18]); - word3_muladd(&w2, &w1, &w0, ws[12], p[17]); - word3_muladd(&w2, &w1, &w0, ws[13], p[16]); - word3_muladd(&w2, &w1, &w0, ws[14], p[15]); - word3_muladd(&w2, &w1, &w0, ws[15], p[14]); - word3_muladd(&w2, &w1, &w0, ws[16], p[13]); - word3_muladd(&w2, &w1, &w0, ws[17], p[12]); - word3_muladd(&w2, &w1, &w0, ws[18], p[11]); - word3_muladd(&w2, &w1, &w0, ws[19], p[10]); - word3_muladd(&w2, &w1, &w0, ws[20], p[9]); - word3_muladd(&w2, &w1, &w0, ws[21], p[8]); - word3_muladd(&w2, &w1, &w0, ws[22], p[7]); - word3_muladd(&w2, &w1, &w0, ws[23], p[6]); - word3_muladd(&w2, &w1, &w0, ws[24], p[5]); - word3_muladd(&w2, &w1, &w0, ws[25], p[4]); - word3_muladd(&w2, &w1, &w0, ws[26], p[3]); - word3_muladd(&w2, &w1, &w0, ws[27], p[2]); - word3_muladd(&w2, &w1, &w0, ws[28], p[1]); - word3_add(&w2, &w1, &w0, z[29]); - ws[29] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[29], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[30]); - word3_muladd(&w2, &w1, &w0, ws[1], p[29]); - word3_muladd(&w2, &w1, &w0, ws[2], p[28]); - word3_muladd(&w2, &w1, &w0, ws[3], p[27]); - word3_muladd(&w2, &w1, &w0, ws[4], p[26]); - word3_muladd(&w2, &w1, &w0, ws[5], p[25]); - word3_muladd(&w2, &w1, &w0, ws[6], p[24]); - word3_muladd(&w2, &w1, &w0, ws[7], p[23]); - word3_muladd(&w2, &w1, &w0, ws[8], p[22]); - word3_muladd(&w2, &w1, &w0, ws[9], p[21]); - word3_muladd(&w2, &w1, &w0, ws[10], p[20]); - word3_muladd(&w2, &w1, &w0, ws[11], p[19]); - word3_muladd(&w2, &w1, &w0, ws[12], p[18]); - word3_muladd(&w2, &w1, &w0, ws[13], p[17]); - word3_muladd(&w2, &w1, &w0, ws[14], p[16]); - word3_muladd(&w2, &w1, &w0, ws[15], p[15]); - word3_muladd(&w2, &w1, &w0, ws[16], p[14]); - word3_muladd(&w2, &w1, &w0, ws[17], p[13]); - word3_muladd(&w2, &w1, &w0, ws[18], p[12]); - word3_muladd(&w2, &w1, &w0, ws[19], p[11]); - word3_muladd(&w2, &w1, &w0, ws[20], p[10]); - word3_muladd(&w2, &w1, &w0, ws[21], p[9]); - word3_muladd(&w2, &w1, &w0, ws[22], p[8]); - word3_muladd(&w2, &w1, &w0, ws[23], p[7]); - word3_muladd(&w2, &w1, &w0, ws[24], p[6]); - word3_muladd(&w2, &w1, &w0, ws[25], p[5]); - word3_muladd(&w2, &w1, &w0, ws[26], p[4]); - word3_muladd(&w2, &w1, &w0, ws[27], p[3]); - word3_muladd(&w2, &w1, &w0, ws[28], p[2]); - word3_muladd(&w2, &w1, &w0, ws[29], p[1]); - word3_add(&w2, &w1, &w0, z[30]); - ws[30] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[30], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[0], p[31]); - word3_muladd(&w2, &w1, &w0, ws[1], p[30]); - word3_muladd(&w2, &w1, &w0, ws[2], p[29]); - word3_muladd(&w2, &w1, &w0, ws[3], p[28]); - word3_muladd(&w2, &w1, &w0, ws[4], p[27]); - word3_muladd(&w2, &w1, &w0, ws[5], p[26]); - word3_muladd(&w2, &w1, &w0, ws[6], p[25]); - word3_muladd(&w2, &w1, &w0, ws[7], p[24]); - word3_muladd(&w2, &w1, &w0, ws[8], p[23]); - word3_muladd(&w2, &w1, &w0, ws[9], p[22]); - word3_muladd(&w2, &w1, &w0, ws[10], p[21]); - word3_muladd(&w2, &w1, &w0, ws[11], p[20]); - word3_muladd(&w2, &w1, &w0, ws[12], p[19]); - word3_muladd(&w2, &w1, &w0, ws[13], p[18]); - word3_muladd(&w2, &w1, &w0, ws[14], p[17]); - word3_muladd(&w2, &w1, &w0, ws[15], p[16]); - word3_muladd(&w2, &w1, &w0, ws[16], p[15]); - word3_muladd(&w2, &w1, &w0, ws[17], p[14]); - word3_muladd(&w2, &w1, &w0, ws[18], p[13]); - word3_muladd(&w2, &w1, &w0, ws[19], p[12]); - word3_muladd(&w2, &w1, &w0, ws[20], p[11]); - word3_muladd(&w2, &w1, &w0, ws[21], p[10]); - word3_muladd(&w2, &w1, &w0, ws[22], p[9]); - word3_muladd(&w2, &w1, &w0, ws[23], p[8]); - word3_muladd(&w2, &w1, &w0, ws[24], p[7]); - word3_muladd(&w2, &w1, &w0, ws[25], p[6]); - word3_muladd(&w2, &w1, &w0, ws[26], p[5]); - word3_muladd(&w2, &w1, &w0, ws[27], p[4]); - word3_muladd(&w2, &w1, &w0, ws[28], p[3]); - word3_muladd(&w2, &w1, &w0, ws[29], p[2]); - word3_muladd(&w2, &w1, &w0, ws[30], p[1]); - word3_add(&w2, &w1, &w0, z[31]); - ws[31] = w0 * p_dash; - word3_muladd(&w2, &w1, &w0, ws[31], p[0]); - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[1], p[31]); - word3_muladd(&w2, &w1, &w0, ws[2], p[30]); - word3_muladd(&w2, &w1, &w0, ws[3], p[29]); - word3_muladd(&w2, &w1, &w0, ws[4], p[28]); - word3_muladd(&w2, &w1, &w0, ws[5], p[27]); - word3_muladd(&w2, &w1, &w0, ws[6], p[26]); - word3_muladd(&w2, &w1, &w0, ws[7], p[25]); - word3_muladd(&w2, &w1, &w0, ws[8], p[24]); - word3_muladd(&w2, &w1, &w0, ws[9], p[23]); - word3_muladd(&w2, &w1, &w0, ws[10], p[22]); - word3_muladd(&w2, &w1, &w0, ws[11], p[21]); - word3_muladd(&w2, &w1, &w0, ws[12], p[20]); - word3_muladd(&w2, &w1, &w0, ws[13], p[19]); - word3_muladd(&w2, &w1, &w0, ws[14], p[18]); - word3_muladd(&w2, &w1, &w0, ws[15], p[17]); - word3_muladd(&w2, &w1, &w0, ws[16], p[16]); - word3_muladd(&w2, &w1, &w0, ws[17], p[15]); - word3_muladd(&w2, &w1, &w0, ws[18], p[14]); - word3_muladd(&w2, &w1, &w0, ws[19], p[13]); - word3_muladd(&w2, &w1, &w0, ws[20], p[12]); - word3_muladd(&w2, &w1, &w0, ws[21], p[11]); - word3_muladd(&w2, &w1, &w0, ws[22], p[10]); - word3_muladd(&w2, &w1, &w0, ws[23], p[9]); - word3_muladd(&w2, &w1, &w0, ws[24], p[8]); - word3_muladd(&w2, &w1, &w0, ws[25], p[7]); - word3_muladd(&w2, &w1, &w0, ws[26], p[6]); - word3_muladd(&w2, &w1, &w0, ws[27], p[5]); - word3_muladd(&w2, &w1, &w0, ws[28], p[4]); - word3_muladd(&w2, &w1, &w0, ws[29], p[3]); - word3_muladd(&w2, &w1, &w0, ws[30], p[2]); - word3_muladd(&w2, &w1, &w0, ws[31], p[1]); - word3_add(&w2, &w1, &w0, z[32]); - ws[0] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[2], p[31]); - word3_muladd(&w2, &w1, &w0, ws[3], p[30]); - word3_muladd(&w2, &w1, &w0, ws[4], p[29]); - word3_muladd(&w2, &w1, &w0, ws[5], p[28]); - word3_muladd(&w2, &w1, &w0, ws[6], p[27]); - word3_muladd(&w2, &w1, &w0, ws[7], p[26]); - word3_muladd(&w2, &w1, &w0, ws[8], p[25]); - word3_muladd(&w2, &w1, &w0, ws[9], p[24]); - word3_muladd(&w2, &w1, &w0, ws[10], p[23]); - word3_muladd(&w2, &w1, &w0, ws[11], p[22]); - word3_muladd(&w2, &w1, &w0, ws[12], p[21]); - word3_muladd(&w2, &w1, &w0, ws[13], p[20]); - word3_muladd(&w2, &w1, &w0, ws[14], p[19]); - word3_muladd(&w2, &w1, &w0, ws[15], p[18]); - word3_muladd(&w2, &w1, &w0, ws[16], p[17]); - word3_muladd(&w2, &w1, &w0, ws[17], p[16]); - word3_muladd(&w2, &w1, &w0, ws[18], p[15]); - word3_muladd(&w2, &w1, &w0, ws[19], p[14]); - word3_muladd(&w2, &w1, &w0, ws[20], p[13]); - word3_muladd(&w2, &w1, &w0, ws[21], p[12]); - word3_muladd(&w2, &w1, &w0, ws[22], p[11]); - word3_muladd(&w2, &w1, &w0, ws[23], p[10]); - word3_muladd(&w2, &w1, &w0, ws[24], p[9]); - word3_muladd(&w2, &w1, &w0, ws[25], p[8]); - word3_muladd(&w2, &w1, &w0, ws[26], p[7]); - word3_muladd(&w2, &w1, &w0, ws[27], p[6]); - word3_muladd(&w2, &w1, &w0, ws[28], p[5]); - word3_muladd(&w2, &w1, &w0, ws[29], p[4]); - word3_muladd(&w2, &w1, &w0, ws[30], p[3]); - word3_muladd(&w2, &w1, &w0, ws[31], p[2]); - word3_add(&w2, &w1, &w0, z[33]); - ws[1] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[3], p[31]); - word3_muladd(&w2, &w1, &w0, ws[4], p[30]); - word3_muladd(&w2, &w1, &w0, ws[5], p[29]); - word3_muladd(&w2, &w1, &w0, ws[6], p[28]); - word3_muladd(&w2, &w1, &w0, ws[7], p[27]); - word3_muladd(&w2, &w1, &w0, ws[8], p[26]); - word3_muladd(&w2, &w1, &w0, ws[9], p[25]); - word3_muladd(&w2, &w1, &w0, ws[10], p[24]); - word3_muladd(&w2, &w1, &w0, ws[11], p[23]); - word3_muladd(&w2, &w1, &w0, ws[12], p[22]); - word3_muladd(&w2, &w1, &w0, ws[13], p[21]); - word3_muladd(&w2, &w1, &w0, ws[14], p[20]); - word3_muladd(&w2, &w1, &w0, ws[15], p[19]); - word3_muladd(&w2, &w1, &w0, ws[16], p[18]); - word3_muladd(&w2, &w1, &w0, ws[17], p[17]); - word3_muladd(&w2, &w1, &w0, ws[18], p[16]); - word3_muladd(&w2, &w1, &w0, ws[19], p[15]); - word3_muladd(&w2, &w1, &w0, ws[20], p[14]); - word3_muladd(&w2, &w1, &w0, ws[21], p[13]); - word3_muladd(&w2, &w1, &w0, ws[22], p[12]); - word3_muladd(&w2, &w1, &w0, ws[23], p[11]); - word3_muladd(&w2, &w1, &w0, ws[24], p[10]); - word3_muladd(&w2, &w1, &w0, ws[25], p[9]); - word3_muladd(&w2, &w1, &w0, ws[26], p[8]); - word3_muladd(&w2, &w1, &w0, ws[27], p[7]); - word3_muladd(&w2, &w1, &w0, ws[28], p[6]); - word3_muladd(&w2, &w1, &w0, ws[29], p[5]); - word3_muladd(&w2, &w1, &w0, ws[30], p[4]); - word3_muladd(&w2, &w1, &w0, ws[31], p[3]); - word3_add(&w2, &w1, &w0, z[34]); - ws[2] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[4], p[31]); - word3_muladd(&w2, &w1, &w0, ws[5], p[30]); - word3_muladd(&w2, &w1, &w0, ws[6], p[29]); - word3_muladd(&w2, &w1, &w0, ws[7], p[28]); - word3_muladd(&w2, &w1, &w0, ws[8], p[27]); - word3_muladd(&w2, &w1, &w0, ws[9], p[26]); - word3_muladd(&w2, &w1, &w0, ws[10], p[25]); - word3_muladd(&w2, &w1, &w0, ws[11], p[24]); - word3_muladd(&w2, &w1, &w0, ws[12], p[23]); - word3_muladd(&w2, &w1, &w0, ws[13], p[22]); - word3_muladd(&w2, &w1, &w0, ws[14], p[21]); - word3_muladd(&w2, &w1, &w0, ws[15], p[20]); - word3_muladd(&w2, &w1, &w0, ws[16], p[19]); - word3_muladd(&w2, &w1, &w0, ws[17], p[18]); - word3_muladd(&w2, &w1, &w0, ws[18], p[17]); - word3_muladd(&w2, &w1, &w0, ws[19], p[16]); - word3_muladd(&w2, &w1, &w0, ws[20], p[15]); - word3_muladd(&w2, &w1, &w0, ws[21], p[14]); - word3_muladd(&w2, &w1, &w0, ws[22], p[13]); - word3_muladd(&w2, &w1, &w0, ws[23], p[12]); - word3_muladd(&w2, &w1, &w0, ws[24], p[11]); - word3_muladd(&w2, &w1, &w0, ws[25], p[10]); - word3_muladd(&w2, &w1, &w0, ws[26], p[9]); - word3_muladd(&w2, &w1, &w0, ws[27], p[8]); - word3_muladd(&w2, &w1, &w0, ws[28], p[7]); - word3_muladd(&w2, &w1, &w0, ws[29], p[6]); - word3_muladd(&w2, &w1, &w0, ws[30], p[5]); - word3_muladd(&w2, &w1, &w0, ws[31], p[4]); - word3_add(&w2, &w1, &w0, z[35]); - ws[3] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[5], p[31]); - word3_muladd(&w2, &w1, &w0, ws[6], p[30]); - word3_muladd(&w2, &w1, &w0, ws[7], p[29]); - word3_muladd(&w2, &w1, &w0, ws[8], p[28]); - word3_muladd(&w2, &w1, &w0, ws[9], p[27]); - word3_muladd(&w2, &w1, &w0, ws[10], p[26]); - word3_muladd(&w2, &w1, &w0, ws[11], p[25]); - word3_muladd(&w2, &w1, &w0, ws[12], p[24]); - word3_muladd(&w2, &w1, &w0, ws[13], p[23]); - word3_muladd(&w2, &w1, &w0, ws[14], p[22]); - word3_muladd(&w2, &w1, &w0, ws[15], p[21]); - word3_muladd(&w2, &w1, &w0, ws[16], p[20]); - word3_muladd(&w2, &w1, &w0, ws[17], p[19]); - word3_muladd(&w2, &w1, &w0, ws[18], p[18]); - word3_muladd(&w2, &w1, &w0, ws[19], p[17]); - word3_muladd(&w2, &w1, &w0, ws[20], p[16]); - word3_muladd(&w2, &w1, &w0, ws[21], p[15]); - word3_muladd(&w2, &w1, &w0, ws[22], p[14]); - word3_muladd(&w2, &w1, &w0, ws[23], p[13]); - word3_muladd(&w2, &w1, &w0, ws[24], p[12]); - word3_muladd(&w2, &w1, &w0, ws[25], p[11]); - word3_muladd(&w2, &w1, &w0, ws[26], p[10]); - word3_muladd(&w2, &w1, &w0, ws[27], p[9]); - word3_muladd(&w2, &w1, &w0, ws[28], p[8]); - word3_muladd(&w2, &w1, &w0, ws[29], p[7]); - word3_muladd(&w2, &w1, &w0, ws[30], p[6]); - word3_muladd(&w2, &w1, &w0, ws[31], p[5]); - word3_add(&w2, &w1, &w0, z[36]); - ws[4] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[6], p[31]); - word3_muladd(&w2, &w1, &w0, ws[7], p[30]); - word3_muladd(&w2, &w1, &w0, ws[8], p[29]); - word3_muladd(&w2, &w1, &w0, ws[9], p[28]); - word3_muladd(&w2, &w1, &w0, ws[10], p[27]); - word3_muladd(&w2, &w1, &w0, ws[11], p[26]); - word3_muladd(&w2, &w1, &w0, ws[12], p[25]); - word3_muladd(&w2, &w1, &w0, ws[13], p[24]); - word3_muladd(&w2, &w1, &w0, ws[14], p[23]); - word3_muladd(&w2, &w1, &w0, ws[15], p[22]); - word3_muladd(&w2, &w1, &w0, ws[16], p[21]); - word3_muladd(&w2, &w1, &w0, ws[17], p[20]); - word3_muladd(&w2, &w1, &w0, ws[18], p[19]); - word3_muladd(&w2, &w1, &w0, ws[19], p[18]); - word3_muladd(&w2, &w1, &w0, ws[20], p[17]); - word3_muladd(&w2, &w1, &w0, ws[21], p[16]); - word3_muladd(&w2, &w1, &w0, ws[22], p[15]); - word3_muladd(&w2, &w1, &w0, ws[23], p[14]); - word3_muladd(&w2, &w1, &w0, ws[24], p[13]); - word3_muladd(&w2, &w1, &w0, ws[25], p[12]); - word3_muladd(&w2, &w1, &w0, ws[26], p[11]); - word3_muladd(&w2, &w1, &w0, ws[27], p[10]); - word3_muladd(&w2, &w1, &w0, ws[28], p[9]); - word3_muladd(&w2, &w1, &w0, ws[29], p[8]); - word3_muladd(&w2, &w1, &w0, ws[30], p[7]); - word3_muladd(&w2, &w1, &w0, ws[31], p[6]); - word3_add(&w2, &w1, &w0, z[37]); - ws[5] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[7], p[31]); - word3_muladd(&w2, &w1, &w0, ws[8], p[30]); - word3_muladd(&w2, &w1, &w0, ws[9], p[29]); - word3_muladd(&w2, &w1, &w0, ws[10], p[28]); - word3_muladd(&w2, &w1, &w0, ws[11], p[27]); - word3_muladd(&w2, &w1, &w0, ws[12], p[26]); - word3_muladd(&w2, &w1, &w0, ws[13], p[25]); - word3_muladd(&w2, &w1, &w0, ws[14], p[24]); - word3_muladd(&w2, &w1, &w0, ws[15], p[23]); - word3_muladd(&w2, &w1, &w0, ws[16], p[22]); - word3_muladd(&w2, &w1, &w0, ws[17], p[21]); - word3_muladd(&w2, &w1, &w0, ws[18], p[20]); - word3_muladd(&w2, &w1, &w0, ws[19], p[19]); - word3_muladd(&w2, &w1, &w0, ws[20], p[18]); - word3_muladd(&w2, &w1, &w0, ws[21], p[17]); - word3_muladd(&w2, &w1, &w0, ws[22], p[16]); - word3_muladd(&w2, &w1, &w0, ws[23], p[15]); - word3_muladd(&w2, &w1, &w0, ws[24], p[14]); - word3_muladd(&w2, &w1, &w0, ws[25], p[13]); - word3_muladd(&w2, &w1, &w0, ws[26], p[12]); - word3_muladd(&w2, &w1, &w0, ws[27], p[11]); - word3_muladd(&w2, &w1, &w0, ws[28], p[10]); - word3_muladd(&w2, &w1, &w0, ws[29], p[9]); - word3_muladd(&w2, &w1, &w0, ws[30], p[8]); - word3_muladd(&w2, &w1, &w0, ws[31], p[7]); - word3_add(&w2, &w1, &w0, z[38]); - ws[6] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[8], p[31]); - word3_muladd(&w2, &w1, &w0, ws[9], p[30]); - word3_muladd(&w2, &w1, &w0, ws[10], p[29]); - word3_muladd(&w2, &w1, &w0, ws[11], p[28]); - word3_muladd(&w2, &w1, &w0, ws[12], p[27]); - word3_muladd(&w2, &w1, &w0, ws[13], p[26]); - word3_muladd(&w2, &w1, &w0, ws[14], p[25]); - word3_muladd(&w2, &w1, &w0, ws[15], p[24]); - word3_muladd(&w2, &w1, &w0, ws[16], p[23]); - word3_muladd(&w2, &w1, &w0, ws[17], p[22]); - word3_muladd(&w2, &w1, &w0, ws[18], p[21]); - word3_muladd(&w2, &w1, &w0, ws[19], p[20]); - word3_muladd(&w2, &w1, &w0, ws[20], p[19]); - word3_muladd(&w2, &w1, &w0, ws[21], p[18]); - word3_muladd(&w2, &w1, &w0, ws[22], p[17]); - word3_muladd(&w2, &w1, &w0, ws[23], p[16]); - word3_muladd(&w2, &w1, &w0, ws[24], p[15]); - word3_muladd(&w2, &w1, &w0, ws[25], p[14]); - word3_muladd(&w2, &w1, &w0, ws[26], p[13]); - word3_muladd(&w2, &w1, &w0, ws[27], p[12]); - word3_muladd(&w2, &w1, &w0, ws[28], p[11]); - word3_muladd(&w2, &w1, &w0, ws[29], p[10]); - word3_muladd(&w2, &w1, &w0, ws[30], p[9]); - word3_muladd(&w2, &w1, &w0, ws[31], p[8]); - word3_add(&w2, &w1, &w0, z[39]); - ws[7] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[9], p[31]); - word3_muladd(&w2, &w1, &w0, ws[10], p[30]); - word3_muladd(&w2, &w1, &w0, ws[11], p[29]); - word3_muladd(&w2, &w1, &w0, ws[12], p[28]); - word3_muladd(&w2, &w1, &w0, ws[13], p[27]); - word3_muladd(&w2, &w1, &w0, ws[14], p[26]); - word3_muladd(&w2, &w1, &w0, ws[15], p[25]); - word3_muladd(&w2, &w1, &w0, ws[16], p[24]); - word3_muladd(&w2, &w1, &w0, ws[17], p[23]); - word3_muladd(&w2, &w1, &w0, ws[18], p[22]); - word3_muladd(&w2, &w1, &w0, ws[19], p[21]); - word3_muladd(&w2, &w1, &w0, ws[20], p[20]); - word3_muladd(&w2, &w1, &w0, ws[21], p[19]); - word3_muladd(&w2, &w1, &w0, ws[22], p[18]); - word3_muladd(&w2, &w1, &w0, ws[23], p[17]); - word3_muladd(&w2, &w1, &w0, ws[24], p[16]); - word3_muladd(&w2, &w1, &w0, ws[25], p[15]); - word3_muladd(&w2, &w1, &w0, ws[26], p[14]); - word3_muladd(&w2, &w1, &w0, ws[27], p[13]); - word3_muladd(&w2, &w1, &w0, ws[28], p[12]); - word3_muladd(&w2, &w1, &w0, ws[29], p[11]); - word3_muladd(&w2, &w1, &w0, ws[30], p[10]); - word3_muladd(&w2, &w1, &w0, ws[31], p[9]); - word3_add(&w2, &w1, &w0, z[40]); - ws[8] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[10], p[31]); - word3_muladd(&w2, &w1, &w0, ws[11], p[30]); - word3_muladd(&w2, &w1, &w0, ws[12], p[29]); - word3_muladd(&w2, &w1, &w0, ws[13], p[28]); - word3_muladd(&w2, &w1, &w0, ws[14], p[27]); - word3_muladd(&w2, &w1, &w0, ws[15], p[26]); - word3_muladd(&w2, &w1, &w0, ws[16], p[25]); - word3_muladd(&w2, &w1, &w0, ws[17], p[24]); - word3_muladd(&w2, &w1, &w0, ws[18], p[23]); - word3_muladd(&w2, &w1, &w0, ws[19], p[22]); - word3_muladd(&w2, &w1, &w0, ws[20], p[21]); - word3_muladd(&w2, &w1, &w0, ws[21], p[20]); - word3_muladd(&w2, &w1, &w0, ws[22], p[19]); - word3_muladd(&w2, &w1, &w0, ws[23], p[18]); - word3_muladd(&w2, &w1, &w0, ws[24], p[17]); - word3_muladd(&w2, &w1, &w0, ws[25], p[16]); - word3_muladd(&w2, &w1, &w0, ws[26], p[15]); - word3_muladd(&w2, &w1, &w0, ws[27], p[14]); - word3_muladd(&w2, &w1, &w0, ws[28], p[13]); - word3_muladd(&w2, &w1, &w0, ws[29], p[12]); - word3_muladd(&w2, &w1, &w0, ws[30], p[11]); - word3_muladd(&w2, &w1, &w0, ws[31], p[10]); - word3_add(&w2, &w1, &w0, z[41]); - ws[9] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[11], p[31]); - word3_muladd(&w2, &w1, &w0, ws[12], p[30]); - word3_muladd(&w2, &w1, &w0, ws[13], p[29]); - word3_muladd(&w2, &w1, &w0, ws[14], p[28]); - word3_muladd(&w2, &w1, &w0, ws[15], p[27]); - word3_muladd(&w2, &w1, &w0, ws[16], p[26]); - word3_muladd(&w2, &w1, &w0, ws[17], p[25]); - word3_muladd(&w2, &w1, &w0, ws[18], p[24]); - word3_muladd(&w2, &w1, &w0, ws[19], p[23]); - word3_muladd(&w2, &w1, &w0, ws[20], p[22]); - word3_muladd(&w2, &w1, &w0, ws[21], p[21]); - word3_muladd(&w2, &w1, &w0, ws[22], p[20]); - word3_muladd(&w2, &w1, &w0, ws[23], p[19]); - word3_muladd(&w2, &w1, &w0, ws[24], p[18]); - word3_muladd(&w2, &w1, &w0, ws[25], p[17]); - word3_muladd(&w2, &w1, &w0, ws[26], p[16]); - word3_muladd(&w2, &w1, &w0, ws[27], p[15]); - word3_muladd(&w2, &w1, &w0, ws[28], p[14]); - word3_muladd(&w2, &w1, &w0, ws[29], p[13]); - word3_muladd(&w2, &w1, &w0, ws[30], p[12]); - word3_muladd(&w2, &w1, &w0, ws[31], p[11]); - word3_add(&w2, &w1, &w0, z[42]); - ws[10] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[12], p[31]); - word3_muladd(&w2, &w1, &w0, ws[13], p[30]); - word3_muladd(&w2, &w1, &w0, ws[14], p[29]); - word3_muladd(&w2, &w1, &w0, ws[15], p[28]); - word3_muladd(&w2, &w1, &w0, ws[16], p[27]); - word3_muladd(&w2, &w1, &w0, ws[17], p[26]); - word3_muladd(&w2, &w1, &w0, ws[18], p[25]); - word3_muladd(&w2, &w1, &w0, ws[19], p[24]); - word3_muladd(&w2, &w1, &w0, ws[20], p[23]); - word3_muladd(&w2, &w1, &w0, ws[21], p[22]); - word3_muladd(&w2, &w1, &w0, ws[22], p[21]); - word3_muladd(&w2, &w1, &w0, ws[23], p[20]); - word3_muladd(&w2, &w1, &w0, ws[24], p[19]); - word3_muladd(&w2, &w1, &w0, ws[25], p[18]); - word3_muladd(&w2, &w1, &w0, ws[26], p[17]); - word3_muladd(&w2, &w1, &w0, ws[27], p[16]); - word3_muladd(&w2, &w1, &w0, ws[28], p[15]); - word3_muladd(&w2, &w1, &w0, ws[29], p[14]); - word3_muladd(&w2, &w1, &w0, ws[30], p[13]); - word3_muladd(&w2, &w1, &w0, ws[31], p[12]); - word3_add(&w2, &w1, &w0, z[43]); - ws[11] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[13], p[31]); - word3_muladd(&w2, &w1, &w0, ws[14], p[30]); - word3_muladd(&w2, &w1, &w0, ws[15], p[29]); - word3_muladd(&w2, &w1, &w0, ws[16], p[28]); - word3_muladd(&w2, &w1, &w0, ws[17], p[27]); - word3_muladd(&w2, &w1, &w0, ws[18], p[26]); - word3_muladd(&w2, &w1, &w0, ws[19], p[25]); - word3_muladd(&w2, &w1, &w0, ws[20], p[24]); - word3_muladd(&w2, &w1, &w0, ws[21], p[23]); - word3_muladd(&w2, &w1, &w0, ws[22], p[22]); - word3_muladd(&w2, &w1, &w0, ws[23], p[21]); - word3_muladd(&w2, &w1, &w0, ws[24], p[20]); - word3_muladd(&w2, &w1, &w0, ws[25], p[19]); - word3_muladd(&w2, &w1, &w0, ws[26], p[18]); - word3_muladd(&w2, &w1, &w0, ws[27], p[17]); - word3_muladd(&w2, &w1, &w0, ws[28], p[16]); - word3_muladd(&w2, &w1, &w0, ws[29], p[15]); - word3_muladd(&w2, &w1, &w0, ws[30], p[14]); - word3_muladd(&w2, &w1, &w0, ws[31], p[13]); - word3_add(&w2, &w1, &w0, z[44]); - ws[12] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[14], p[31]); - word3_muladd(&w2, &w1, &w0, ws[15], p[30]); - word3_muladd(&w2, &w1, &w0, ws[16], p[29]); - word3_muladd(&w2, &w1, &w0, ws[17], p[28]); - word3_muladd(&w2, &w1, &w0, ws[18], p[27]); - word3_muladd(&w2, &w1, &w0, ws[19], p[26]); - word3_muladd(&w2, &w1, &w0, ws[20], p[25]); - word3_muladd(&w2, &w1, &w0, ws[21], p[24]); - word3_muladd(&w2, &w1, &w0, ws[22], p[23]); - word3_muladd(&w2, &w1, &w0, ws[23], p[22]); - word3_muladd(&w2, &w1, &w0, ws[24], p[21]); - word3_muladd(&w2, &w1, &w0, ws[25], p[20]); - word3_muladd(&w2, &w1, &w0, ws[26], p[19]); - word3_muladd(&w2, &w1, &w0, ws[27], p[18]); - word3_muladd(&w2, &w1, &w0, ws[28], p[17]); - word3_muladd(&w2, &w1, &w0, ws[29], p[16]); - word3_muladd(&w2, &w1, &w0, ws[30], p[15]); - word3_muladd(&w2, &w1, &w0, ws[31], p[14]); - word3_add(&w2, &w1, &w0, z[45]); - ws[13] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[15], p[31]); - word3_muladd(&w2, &w1, &w0, ws[16], p[30]); - word3_muladd(&w2, &w1, &w0, ws[17], p[29]); - word3_muladd(&w2, &w1, &w0, ws[18], p[28]); - word3_muladd(&w2, &w1, &w0, ws[19], p[27]); - word3_muladd(&w2, &w1, &w0, ws[20], p[26]); - word3_muladd(&w2, &w1, &w0, ws[21], p[25]); - word3_muladd(&w2, &w1, &w0, ws[22], p[24]); - word3_muladd(&w2, &w1, &w0, ws[23], p[23]); - word3_muladd(&w2, &w1, &w0, ws[24], p[22]); - word3_muladd(&w2, &w1, &w0, ws[25], p[21]); - word3_muladd(&w2, &w1, &w0, ws[26], p[20]); - word3_muladd(&w2, &w1, &w0, ws[27], p[19]); - word3_muladd(&w2, &w1, &w0, ws[28], p[18]); - word3_muladd(&w2, &w1, &w0, ws[29], p[17]); - word3_muladd(&w2, &w1, &w0, ws[30], p[16]); - word3_muladd(&w2, &w1, &w0, ws[31], p[15]); - word3_add(&w2, &w1, &w0, z[46]); - ws[14] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[16], p[31]); - word3_muladd(&w2, &w1, &w0, ws[17], p[30]); - word3_muladd(&w2, &w1, &w0, ws[18], p[29]); - word3_muladd(&w2, &w1, &w0, ws[19], p[28]); - word3_muladd(&w2, &w1, &w0, ws[20], p[27]); - word3_muladd(&w2, &w1, &w0, ws[21], p[26]); - word3_muladd(&w2, &w1, &w0, ws[22], p[25]); - word3_muladd(&w2, &w1, &w0, ws[23], p[24]); - word3_muladd(&w2, &w1, &w0, ws[24], p[23]); - word3_muladd(&w2, &w1, &w0, ws[25], p[22]); - word3_muladd(&w2, &w1, &w0, ws[26], p[21]); - word3_muladd(&w2, &w1, &w0, ws[27], p[20]); - word3_muladd(&w2, &w1, &w0, ws[28], p[19]); - word3_muladd(&w2, &w1, &w0, ws[29], p[18]); - word3_muladd(&w2, &w1, &w0, ws[30], p[17]); - word3_muladd(&w2, &w1, &w0, ws[31], p[16]); - word3_add(&w2, &w1, &w0, z[47]); - ws[15] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[17], p[31]); - word3_muladd(&w2, &w1, &w0, ws[18], p[30]); - word3_muladd(&w2, &w1, &w0, ws[19], p[29]); - word3_muladd(&w2, &w1, &w0, ws[20], p[28]); - word3_muladd(&w2, &w1, &w0, ws[21], p[27]); - word3_muladd(&w2, &w1, &w0, ws[22], p[26]); - word3_muladd(&w2, &w1, &w0, ws[23], p[25]); - word3_muladd(&w2, &w1, &w0, ws[24], p[24]); - word3_muladd(&w2, &w1, &w0, ws[25], p[23]); - word3_muladd(&w2, &w1, &w0, ws[26], p[22]); - word3_muladd(&w2, &w1, &w0, ws[27], p[21]); - word3_muladd(&w2, &w1, &w0, ws[28], p[20]); - word3_muladd(&w2, &w1, &w0, ws[29], p[19]); - word3_muladd(&w2, &w1, &w0, ws[30], p[18]); - word3_muladd(&w2, &w1, &w0, ws[31], p[17]); - word3_add(&w2, &w1, &w0, z[48]); - ws[16] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[18], p[31]); - word3_muladd(&w2, &w1, &w0, ws[19], p[30]); - word3_muladd(&w2, &w1, &w0, ws[20], p[29]); - word3_muladd(&w2, &w1, &w0, ws[21], p[28]); - word3_muladd(&w2, &w1, &w0, ws[22], p[27]); - word3_muladd(&w2, &w1, &w0, ws[23], p[26]); - word3_muladd(&w2, &w1, &w0, ws[24], p[25]); - word3_muladd(&w2, &w1, &w0, ws[25], p[24]); - word3_muladd(&w2, &w1, &w0, ws[26], p[23]); - word3_muladd(&w2, &w1, &w0, ws[27], p[22]); - word3_muladd(&w2, &w1, &w0, ws[28], p[21]); - word3_muladd(&w2, &w1, &w0, ws[29], p[20]); - word3_muladd(&w2, &w1, &w0, ws[30], p[19]); - word3_muladd(&w2, &w1, &w0, ws[31], p[18]); - word3_add(&w2, &w1, &w0, z[49]); - ws[17] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[19], p[31]); - word3_muladd(&w2, &w1, &w0, ws[20], p[30]); - word3_muladd(&w2, &w1, &w0, ws[21], p[29]); - word3_muladd(&w2, &w1, &w0, ws[22], p[28]); - word3_muladd(&w2, &w1, &w0, ws[23], p[27]); - word3_muladd(&w2, &w1, &w0, ws[24], p[26]); - word3_muladd(&w2, &w1, &w0, ws[25], p[25]); - word3_muladd(&w2, &w1, &w0, ws[26], p[24]); - word3_muladd(&w2, &w1, &w0, ws[27], p[23]); - word3_muladd(&w2, &w1, &w0, ws[28], p[22]); - word3_muladd(&w2, &w1, &w0, ws[29], p[21]); - word3_muladd(&w2, &w1, &w0, ws[30], p[20]); - word3_muladd(&w2, &w1, &w0, ws[31], p[19]); - word3_add(&w2, &w1, &w0, z[50]); - ws[18] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[20], p[31]); - word3_muladd(&w2, &w1, &w0, ws[21], p[30]); - word3_muladd(&w2, &w1, &w0, ws[22], p[29]); - word3_muladd(&w2, &w1, &w0, ws[23], p[28]); - word3_muladd(&w2, &w1, &w0, ws[24], p[27]); - word3_muladd(&w2, &w1, &w0, ws[25], p[26]); - word3_muladd(&w2, &w1, &w0, ws[26], p[25]); - word3_muladd(&w2, &w1, &w0, ws[27], p[24]); - word3_muladd(&w2, &w1, &w0, ws[28], p[23]); - word3_muladd(&w2, &w1, &w0, ws[29], p[22]); - word3_muladd(&w2, &w1, &w0, ws[30], p[21]); - word3_muladd(&w2, &w1, &w0, ws[31], p[20]); - word3_add(&w2, &w1, &w0, z[51]); - ws[19] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[21], p[31]); - word3_muladd(&w2, &w1, &w0, ws[22], p[30]); - word3_muladd(&w2, &w1, &w0, ws[23], p[29]); - word3_muladd(&w2, &w1, &w0, ws[24], p[28]); - word3_muladd(&w2, &w1, &w0, ws[25], p[27]); - word3_muladd(&w2, &w1, &w0, ws[26], p[26]); - word3_muladd(&w2, &w1, &w0, ws[27], p[25]); - word3_muladd(&w2, &w1, &w0, ws[28], p[24]); - word3_muladd(&w2, &w1, &w0, ws[29], p[23]); - word3_muladd(&w2, &w1, &w0, ws[30], p[22]); - word3_muladd(&w2, &w1, &w0, ws[31], p[21]); - word3_add(&w2, &w1, &w0, z[52]); - ws[20] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[22], p[31]); - word3_muladd(&w2, &w1, &w0, ws[23], p[30]); - word3_muladd(&w2, &w1, &w0, ws[24], p[29]); - word3_muladd(&w2, &w1, &w0, ws[25], p[28]); - word3_muladd(&w2, &w1, &w0, ws[26], p[27]); - word3_muladd(&w2, &w1, &w0, ws[27], p[26]); - word3_muladd(&w2, &w1, &w0, ws[28], p[25]); - word3_muladd(&w2, &w1, &w0, ws[29], p[24]); - word3_muladd(&w2, &w1, &w0, ws[30], p[23]); - word3_muladd(&w2, &w1, &w0, ws[31], p[22]); - word3_add(&w2, &w1, &w0, z[53]); - ws[21] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[23], p[31]); - word3_muladd(&w2, &w1, &w0, ws[24], p[30]); - word3_muladd(&w2, &w1, &w0, ws[25], p[29]); - word3_muladd(&w2, &w1, &w0, ws[26], p[28]); - word3_muladd(&w2, &w1, &w0, ws[27], p[27]); - word3_muladd(&w2, &w1, &w0, ws[28], p[26]); - word3_muladd(&w2, &w1, &w0, ws[29], p[25]); - word3_muladd(&w2, &w1, &w0, ws[30], p[24]); - word3_muladd(&w2, &w1, &w0, ws[31], p[23]); - word3_add(&w2, &w1, &w0, z[54]); - ws[22] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[24], p[31]); - word3_muladd(&w2, &w1, &w0, ws[25], p[30]); - word3_muladd(&w2, &w1, &w0, ws[26], p[29]); - word3_muladd(&w2, &w1, &w0, ws[27], p[28]); - word3_muladd(&w2, &w1, &w0, ws[28], p[27]); - word3_muladd(&w2, &w1, &w0, ws[29], p[26]); - word3_muladd(&w2, &w1, &w0, ws[30], p[25]); - word3_muladd(&w2, &w1, &w0, ws[31], p[24]); - word3_add(&w2, &w1, &w0, z[55]); - ws[23] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[25], p[31]); - word3_muladd(&w2, &w1, &w0, ws[26], p[30]); - word3_muladd(&w2, &w1, &w0, ws[27], p[29]); - word3_muladd(&w2, &w1, &w0, ws[28], p[28]); - word3_muladd(&w2, &w1, &w0, ws[29], p[27]); - word3_muladd(&w2, &w1, &w0, ws[30], p[26]); - word3_muladd(&w2, &w1, &w0, ws[31], p[25]); - word3_add(&w2, &w1, &w0, z[56]); - ws[24] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[26], p[31]); - word3_muladd(&w2, &w1, &w0, ws[27], p[30]); - word3_muladd(&w2, &w1, &w0, ws[28], p[29]); - word3_muladd(&w2, &w1, &w0, ws[29], p[28]); - word3_muladd(&w2, &w1, &w0, ws[30], p[27]); - word3_muladd(&w2, &w1, &w0, ws[31], p[26]); - word3_add(&w2, &w1, &w0, z[57]); - ws[25] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[27], p[31]); - word3_muladd(&w2, &w1, &w0, ws[28], p[30]); - word3_muladd(&w2, &w1, &w0, ws[29], p[29]); - word3_muladd(&w2, &w1, &w0, ws[30], p[28]); - word3_muladd(&w2, &w1, &w0, ws[31], p[27]); - word3_add(&w2, &w1, &w0, z[58]); - ws[26] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[28], p[31]); - word3_muladd(&w2, &w1, &w0, ws[29], p[30]); - word3_muladd(&w2, &w1, &w0, ws[30], p[29]); - word3_muladd(&w2, &w1, &w0, ws[31], p[28]); - word3_add(&w2, &w1, &w0, z[59]); - ws[27] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[29], p[31]); - word3_muladd(&w2, &w1, &w0, ws[30], p[30]); - word3_muladd(&w2, &w1, &w0, ws[31], p[29]); - word3_add(&w2, &w1, &w0, z[60]); - ws[28] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[30], p[31]); - word3_muladd(&w2, &w1, &w0, ws[31], p[30]); - word3_add(&w2, &w1, &w0, z[61]); - ws[29] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_muladd(&w2, &w1, &w0, ws[31], p[31]); - word3_add(&w2, &w1, &w0, z[62]); - ws[30] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_add(&w2, &w1, &w0, z[63]); - ws[31] = w0; - w0 = w1; w1 = w2; w2 = 0; - word3_add(&w2, &w1, &w0, z[65]); - ws[32] = w0; - ws[33] = w1; - word borrow = bigint_sub3(ws + 32 + 1, ws, 32 + 1, p, 32); - CT::conditional_copy_mem(borrow, z, ws, ws + 33, 33); - clear_mem(z + 32, 2*(32+1) - 32); - } - -} diff --git a/src/libs/3rdparty/botan/src/lib/math/numbertheory/curve_nistp.h b/src/libs/3rdparty/botan/src/lib/math/numbertheory/curve_nistp.h deleted file mode 100644 index 710b06deca5..00000000000 --- a/src/libs/3rdparty/botan/src/lib/math/numbertheory/curve_nistp.h +++ /dev/null @@ -1,42 +0,0 @@ -/* -* Arithmetic operations specialized for NIST ECC primes -* (C) 2014,2015 Jack Lloyd -* -* Botan is released under the Simplified BSD License (see license.txt) -*/ - -#ifndef BOTAN_NIST_PRIMES_H_ -#define BOTAN_NIST_PRIMES_H_ - -#include <botan/bigint.h> - -namespace Botan { - -/** -* NIST Prime reduction functions. -* -* Reduces the value in place -* -* ws is a workspace function which is used as a temporary, -* and will be resized as needed. -*/ -BOTAN_PUBLIC_API(2,0) const BigInt& prime_p521(); -BOTAN_PUBLIC_API(2,0) void redc_p521(BigInt& x, secure_vector<word>& ws); - -#define BOTAN_HAS_NIST_PRIME_REDUCERS_W32 - -BOTAN_PUBLIC_API(2,0) const BigInt& prime_p384(); -BOTAN_PUBLIC_API(2,0) void redc_p384(BigInt& x, secure_vector<word>& ws); - -BOTAN_PUBLIC_API(2,0) const BigInt& prime_p256(); -BOTAN_PUBLIC_API(2,0) void redc_p256(BigInt& x, secure_vector<word>& ws); - -BOTAN_PUBLIC_API(2,0) const BigInt& prime_p224(); -BOTAN_PUBLIC_API(2,0) void redc_p224(BigInt& x, secure_vector<word>& ws); - -BOTAN_PUBLIC_API(2,0) const BigInt& prime_p192(); -BOTAN_PUBLIC_API(2,0) void redc_p192(BigInt& x, secure_vector<word>& ws); - -} - -#endif diff --git a/src/libs/3rdparty/botan/src/lib/math/numbertheory/def_powm.h b/src/libs/3rdparty/botan/src/lib/math/numbertheory/def_powm.h deleted file mode 100644 index 6b1f33835fa..00000000000 --- a/src/libs/3rdparty/botan/src/lib/math/numbertheory/def_powm.h +++ /dev/null @@ -1,68 +0,0 @@ -/* -* Modular Exponentiation -* (C) 1999-2007 Jack Lloyd -* -* Botan is released under the Simplified BSD License (see license.txt) -*/ - -#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 final : public Modular_Exponentiator - { - public: - void set_exponent(const BigInt&) override; - void set_base(const BigInt&) override; - BigInt execute() const override; - - Modular_Exponentiator* copy() const override - { return new Fixed_Window_Exponentiator(*this); } - - Fixed_Window_Exponentiator(const BigInt&, Power_Mod::Usage_Hints); - private: - Modular_Reducer m_reducer; - BigInt m_exp; - size_t m_window_bits; - std::vector<BigInt> m_g; - Power_Mod::Usage_Hints m_hints; - }; - -class Montgomery_Params; -class Montgomery_Exponentation_State; - -/** -* Montgomery Exponentiator -*/ -class Montgomery_Exponentiator final : public Modular_Exponentiator - { - public: - void set_exponent(const BigInt&) override; - void set_base(const BigInt&) override; - BigInt execute() const override; - - Modular_Exponentiator* copy() const override - { return new Montgomery_Exponentiator(*this); } - - Montgomery_Exponentiator(const BigInt&, Power_Mod::Usage_Hints); - private: - BigInt m_p; - Modular_Reducer m_mod_p; - std::shared_ptr<const Montgomery_Params> m_monty_params; - std::shared_ptr<const Montgomery_Exponentation_State> m_monty; - - BigInt m_e; - Power_Mod::Usage_Hints m_hints; - }; - -} - -#endif diff --git a/src/libs/3rdparty/botan/src/lib/math/numbertheory/dsa_gen.cpp b/src/libs/3rdparty/botan/src/lib/math/numbertheory/dsa_gen.cpp deleted file mode 100644 index a5efbc2662c..00000000000 --- a/src/libs/3rdparty/botan/src/lib/math/numbertheory/dsa_gen.cpp +++ /dev/null @@ -1,136 +0,0 @@ -/* -* DSA Parameter Generation -* (C) 1999-2007 Jack Lloyd -* -* Botan is released under the Simplified BSD License (see license.txt) -*/ - -#include <botan/numthry.h> -#include <botan/hash.h> -#include <botan/reducer.h> -#include <botan/rng.h> - -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 == 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, - BigInt& p, BigInt& q, - size_t pbits, size_t qbits, - const std::vector<uint8_t>& seed_c, - size_t offset) - { - 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) + - " bit long q requires a seed at least as many bits long"); - - const std::string hash_name = "SHA-" + std::to_string(qbits); - std::unique_ptr<HashFunction> hash(HashFunction::create_or_throw(hash_name)); - - const size_t HASH_SIZE = hash->output_length(); - - class Seed final - { - public: - explicit Seed(const std::vector<uint8_t>& s) : m_seed(s) {} - - const std::vector<uint8_t>& value() const { return m_seed; } - - Seed& operator++() - { - for(size_t j = m_seed.size(); j > 0; --j) - if(++m_seed[j-1]) - break; - return (*this); - } - private: - std::vector<uint8_t> m_seed; - }; - - Seed seed(seed_c); - - q.binary_decode(hash->process(seed.value())); - q.set_bit(qbits-1); - q.set_bit(0); - - if(!is_prime(q, rng, 128, true)) - return false; - - const size_t n = (pbits-1) / (HASH_SIZE * 8), - b = (pbits-1) % (HASH_SIZE * 8); - - BigInt X; - std::vector<uint8_t> V(HASH_SIZE * (n+1)); - - Modular_Reducer mod_2q(2*q); - - for(size_t j = 0; j != 4*pbits; ++j) - { - for(size_t k = 0; k <= n; ++k) - { - ++seed; - hash->update(seed.value()); - hash->final(&V[HASH_SIZE * (n-k)]); - } - - if(j >= offset) - { - X.binary_decode(&V[HASH_SIZE - 1 - b/8], - V.size() - (HASH_SIZE - 1 - b/8)); - X.set_bit(pbits-1); - - p = X - (mod_2q.reduce(X) - 1); - - if(p.bits() == pbits && is_prime(p, rng, 128, true)) - return true; - } - } - return false; - } - -/* -* Generate DSA Primes -*/ -std::vector<uint8_t> generate_dsa_primes(RandomNumberGenerator& rng, - BigInt& p, BigInt& q, - size_t pbits, size_t qbits) - { - while(true) - { - std::vector<uint8_t> seed(qbits / 8); - rng.randomize(seed.data(), seed.size()); - - if(generate_dsa_primes(rng, p, q, pbits, qbits, seed)) - return seed; - } - } - -} diff --git a/src/libs/3rdparty/botan/src/lib/math/numbertheory/info.txt b/src/libs/3rdparty/botan/src/lib/math/numbertheory/info.txt deleted file mode 100644 index 0ebd1e05fc0..00000000000 --- a/src/libs/3rdparty/botan/src/lib/math/numbertheory/info.txt +++ /dev/null @@ -1,23 +0,0 @@ -<defines> -NUMBERTHEORY -> 20131128 -</defines> - -<header:public> -curve_nistp.h -numthry.h -pow_mod.h -reducer.h -monty.h -</header:public> - -<header:internal> -primality.h -def_powm.h -monty_exp.h -</header:internal> - -<requires> -bigint -hash -rng -</requires> diff --git a/src/libs/3rdparty/botan/src/lib/math/numbertheory/jacobi.cpp b/src/libs/3rdparty/botan/src/lib/math/numbertheory/jacobi.cpp deleted file mode 100644 index 284fc2b2041..00000000000 --- a/src/libs/3rdparty/botan/src/lib/math/numbertheory/jacobi.cpp +++ /dev/null @@ -1,52 +0,0 @@ -/* -* Jacobi Function -* (C) 1999-2007 Jack Lloyd -* -* Botan is released under the Simplified BSD License (see license.txt) -*/ - -#include <botan/numthry.h> - -namespace Botan { - -/* -* Calculate the Jacobi symbol -*/ -int32_t jacobi(const BigInt& a, const BigInt& n) - { - if(n.is_even() || n < 2) - throw Invalid_Argument("jacobi: second argument must be odd and > 1"); - - BigInt x = a % n; - BigInt y = n; - int32_t 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/libs/3rdparty/botan/src/lib/math/numbertheory/make_prm.cpp b/src/libs/3rdparty/botan/src/lib/math/numbertheory/make_prm.cpp deleted file mode 100644 index 2333e2c9319..00000000000 --- a/src/libs/3rdparty/botan/src/lib/math/numbertheory/make_prm.cpp +++ /dev/null @@ -1,285 +0,0 @@ -/* -* Prime Generation -* (C) 1999-2007,2018 Jack Lloyd -* -* Botan is released under the Simplified BSD License (see license.txt) -*/ - -#include <botan/numthry.h> -#include <botan/rng.h> -#include <botan/internal/bit_ops.h> -#include <algorithm> - -namespace Botan { - -namespace { - -class Prime_Sieve final - { - public: - Prime_Sieve(const BigInt& init_value) : m_sieve(PRIME_TABLE_SIZE) - { - for(size_t i = 0; i != m_sieve.size(); ++i) - m_sieve[i] = static_cast<uint16_t>(init_value % PRIMES[i]); - } - - void step(word increment) - { - for(size_t i = 0; i != m_sieve.size(); ++i) - { - m_sieve[i] = (m_sieve[i] + increment) % PRIMES[i]; - } - } - - bool passes(bool check_2p1 = false) const - { - for(size_t i = 0; i != m_sieve.size(); ++i) - { - /* - In this case, p is a multiple of PRIMES[i] - */ - if(m_sieve[i] == 0) - return false; - - if(check_2p1) - { - /* - In this case, 2*p+1 will be a multiple of PRIMES[i] - - So if potentially generating a safe prime, we want to - avoid this value because 2*p+1 will certainly not be prime. - - See "Safe Prime Generation with a Combined Sieve" M. Wiener - https://eprint.iacr.org/2003/186.pdf - */ - if(m_sieve[i] == (PRIMES[i] - 1) / 2) - return false; - } - } - - return true; - } - - private: - std::vector<uint16_t> m_sieve; - }; - -} - - -/* -* Generate a random prime -*/ -BigInt random_prime(RandomNumberGenerator& rng, - size_t bits, const BigInt& coprime, - size_t equiv, size_t modulo, - size_t prob) - { - if(coprime.is_negative()) - { - throw Invalid_Argument("random_prime: coprime must be >= 0"); - } - if(modulo == 0) - { - throw Invalid_Argument("random_prime: Invalid modulo value"); - } - - equiv %= modulo; - - if(equiv == 0) - throw Invalid_Argument("random_prime Invalid value for equiv/modulo"); - - // Handle small values: - 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); - } - else if(bits <= 16) - { - for(;;) - { - size_t idx = make_uint16(rng.next_byte(), rng.next_byte()) % PRIME_TABLE_SIZE; - uint16_t small_prime = PRIMES[idx]; - - if(high_bit(small_prime) == bits) - return small_prime; - } - } - - const size_t MAX_ATTEMPTS = 32*1024; - - 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); - - // Force p to be equal to equiv mod modulo - p += (modulo - (p % modulo)) + equiv; - - Prime_Sieve sieve(p); - - size_t counter = 0; - while(true) - { - ++counter; - - if(counter > MAX_ATTEMPTS) - { - break; // don't try forever, choose a new starting point - } - - p += modulo; - - sieve.step(modulo); - - if(sieve.passes(true) == false) - continue; - - if(coprime > 1) - { - /* - * Check if gcd(p - 1, coprime) != 1 by computing the inverse. The - * gcd algorithm is not constant time, but modular inverse is (for - * odd modulus anyway). This avoids a side channel attack against RSA - * key generation, though RSA keygen should be using generate_rsa_prime. - */ - if(inverse_mod(p - 1, coprime).is_zero()) - continue; - } - - if(p.bits() > bits) - break; - - if(is_prime(p, rng, prob, true)) - return p; - } - } - } - -BigInt generate_rsa_prime(RandomNumberGenerator& keygen_rng, - RandomNumberGenerator& prime_test_rng, - size_t bits, - const BigInt& coprime, - size_t prob) - { - if(bits < 512) - throw Invalid_Argument("generate_rsa_prime bits too small"); - - /* - * The restriction on coprime <= 64 bits is arbitrary but generally speaking - * very large RSA public exponents are a bad idea both for performance and due - * to attacks on small d. - */ - if(coprime <= 1 || coprime.is_even() || coprime.bits() > 64) - throw Invalid_Argument("generate_rsa_prime coprime must be small odd positive integer"); - - const size_t MAX_ATTEMPTS = 32*1024; - - while(true) - { - BigInt p(keygen_rng, bits); - - // Force lowest and two top bits on - p.set_bit(bits - 1); - p.set_bit(bits - 2); - p.set_bit(0); - - Prime_Sieve sieve(p); - - const word step = 2; - - size_t counter = 0; - while(true) - { - ++counter; - - if(counter > MAX_ATTEMPTS) - { - break; // don't try forever, choose a new starting point - } - - p += step; - - sieve.step(step); - - if(sieve.passes() == false) - continue; - - /* - * Check if p - 1 and coprime are relatively prime by computing the inverse. - * - * We avoid gcd here because that algorithm is not constant time. - * Modular inverse is (for odd modulus anyway). - * - * We earlier verified that coprime argument is odd. Thus the factors of 2 - * in (p - 1) cannot possibly be factors in coprime, so remove them from p - 1. - * Using an odd modulus allows the const time algorithm to be used. - * - * This assumes coprime < p - 1 which is always true for RSA. - */ - BigInt p1 = p - 1; - p1 >>= low_zero_bits(p1); - if(inverse_mod(coprime, p1).is_zero()) - { - BOTAN_DEBUG_ASSERT(gcd(p1, coprime) > 1); - continue; - } - - BOTAN_DEBUG_ASSERT(gcd(p1, coprime) == 1); - - if(p.bits() > bits) - break; - - if(is_prime(p, prime_test_rng, prob, true)) - 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 q, p; - for(;;) - { - /* - Generate q == 2 (mod 3) - - Otherwise [q == 1 (mod 3) case], 2*q+1 == 3 (mod 3) and not prime. - */ - q = random_prime(rng, bits - 1, 0, 2, 3, 8); - p = (q << 1) + 1; - - if(is_prime(p, rng, 128, true)) - { - // We did only a weak check before, go back and verify q before returning - if(is_prime(q, rng, 128, true)) - return p; - } - } - } - -} diff --git a/src/libs/3rdparty/botan/src/lib/math/numbertheory/monty.cpp b/src/libs/3rdparty/botan/src/lib/math/numbertheory/monty.cpp deleted file mode 100644 index 61a10eae5e8..00000000000 --- a/src/libs/3rdparty/botan/src/lib/math/numbertheory/monty.cpp +++ /dev/null @@ -1,449 +0,0 @@ -/* -* (C) 2018 Jack Lloyd -* -* Botan is released under the Simplified BSD License (see license.txt) -*/ - -#include <botan/monty.h> -#include <botan/reducer.h> -#include <botan/internal/mp_core.h> - -namespace Botan { - -Montgomery_Params::Montgomery_Params(const BigInt& p, - const Modular_Reducer& mod_p) - { - if(p.is_even() || p < 3) - throw Invalid_Argument("Montgomery_Params invalid modulus"); - - m_p = p; - 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_r1 = mod_p.reduce(r); - m_r2 = mod_p.square(m_r1); - m_r3 = mod_p.multiply(m_r1, m_r2); - } - -Montgomery_Params::Montgomery_Params(const BigInt& p) - { - - if(p.is_negative() || p.is_even()) - throw Invalid_Argument("Montgomery_Params invalid modulus"); - - m_p = p; - 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); - - Modular_Reducer mod_p(p); - - m_r1 = mod_p.reduce(r); - m_r2 = mod_p.square(m_r1); - m_r3 = mod_p.multiply(m_r1, m_r2); - } - -BigInt Montgomery_Params::inv_mod_p(const BigInt& x) const - { - return ct_inverse_mod_odd_modulus(x, p()); - } - -BigInt Montgomery_Params::redc(const BigInt& x, secure_vector<word>& ws) const - { - const size_t output_size = 2*m_p_words + 2; - - if(ws.size() < output_size) - ws.resize(output_size); - - BigInt z = x; - z.grow_to(output_size); - - bigint_monty_redc(z.mutable_data(), - m_p.data(), m_p_words, m_p_dash, - ws.data(), ws.size()); - - return z; - } - -BigInt Montgomery_Params::mul(const BigInt& x, const BigInt& y, - secure_vector<word>& ws) const - { - const size_t output_size = 2*m_p_words + 2; - - if(ws.size() < output_size) - ws.resize(output_size); - - BOTAN_DEBUG_ASSERT(x.sig_words() <= m_p_words); - BOTAN_DEBUG_ASSERT(y.sig_words() <= m_p_words); - - BigInt z(BigInt::Positive, output_size); - bigint_mul(z.mutable_data(), z.size(), - x.data(), x.size(), std::min(m_p_words, x.size()), - y.data(), y.size(), std::min(m_p_words, y.size()), - ws.data(), ws.size()); - - bigint_monty_redc(z.mutable_data(), - m_p.data(), m_p_words, m_p_dash, - ws.data(), ws.size()); - - return z; - } - -BigInt Montgomery_Params::mul(const BigInt& x, - const secure_vector<word>& y, - secure_vector<word>& ws) const - { - const size_t output_size = 2*m_p_words + 2; - if(ws.size() < output_size) - ws.resize(output_size); - BigInt z(BigInt::Positive, output_size); - - BOTAN_DEBUG_ASSERT(x.sig_words() <= m_p_words); - - bigint_mul(z.mutable_data(), z.size(), - x.data(), x.size(), std::min(m_p_words, x.size()), - y.data(), y.size(), std::min(m_p_words, y.size()), - ws.data(), ws.size()); - - bigint_monty_redc(z.mutable_data(), - m_p.data(), m_p_words, m_p_dash, - ws.data(), ws.size()); - - return z; - } - -void Montgomery_Params::mul_by(BigInt& x, - const secure_vector<word>& y, - secure_vector<word>& ws) const - { - const size_t output_size = 2*m_p_words + 2; - - if(ws.size() < 2*output_size) - ws.resize(2*output_size); - - word* z_data = &ws[0]; - word* ws_data = &ws[output_size]; - - BOTAN_DEBUG_ASSERT(x.sig_words() <= m_p_words); - - bigint_mul(z_data, output_size, - x.data(), x.size(), std::min(m_p_words, x.size()), - y.data(), y.size(), std::min(m_p_words, y.size()), - ws_data, output_size); - - bigint_monty_redc(z_data, - m_p.data(), m_p_words, m_p_dash, - ws_data, output_size); - - if(x.size() < output_size) - x.grow_to(output_size); - copy_mem(x.mutable_data(), z_data, output_size); - } - -void Montgomery_Params::mul_by(BigInt& x, - const BigInt& y, - secure_vector<word>& ws) const - { - const size_t output_size = 2*m_p_words + 2; - - if(ws.size() < 2*output_size) - ws.resize(2*output_size); - - word* z_data = &ws[0]; - word* ws_data = &ws[output_size]; - - BOTAN_DEBUG_ASSERT(x.sig_words() <= m_p_words); - - bigint_mul(z_data, output_size, - x.data(), x.size(), std::min(m_p_words, x.size()), - y.data(), y.size(), std::min(m_p_words, y.size()), - ws_data, output_size); - - bigint_monty_redc(z_data, - m_p.data(), m_p_words, m_p_dash, - ws_data, output_size); - - if(x.size() < output_size) - x.grow_to(output_size); - copy_mem(x.mutable_data(), z_data, output_size); - } - -BigInt Montgomery_Params::sqr(const BigInt& x, secure_vector<word>& ws) const - { - const size_t output_size = 2*m_p_words + 2; - - if(ws.size() < output_size) - ws.resize(output_size); - - BigInt z(BigInt::Positive, output_size); - - BOTAN_DEBUG_ASSERT(x.sig_words() <= m_p_words); - - bigint_sqr(z.mutable_data(), z.size(), - x.data(), x.size(), std::min(m_p_words, x.size()), - ws.data(), ws.size()); - - bigint_monty_redc(z.mutable_data(), - m_p.data(), m_p_words, m_p_dash, - ws.data(), ws.size()); - - return z; - } - -void Montgomery_Params::square_this(BigInt& x, - secure_vector<word>& ws) const - { - const size_t output_size = 2*m_p_words + 2; - - if(ws.size() < 2*output_size) - ws.resize(2*output_size); - - word* z_data = &ws[0]; - word* ws_data = &ws[output_size]; - - BOTAN_DEBUG_ASSERT(x.sig_words() <= m_p_words); - - bigint_sqr(z_data, output_size, - x.data(), x.size(), std::min(m_p_words, x.size()), - ws_data, output_size); - - bigint_monty_redc(z_data, - m_p.data(), m_p_words, m_p_dash, - ws_data, output_size); - - if(x.size() < output_size) - x.grow_to(output_size); - copy_mem(x.mutable_data(), z_data, output_size); - } - -Montgomery_Int::Montgomery_Int(const std::shared_ptr<const Montgomery_Params> params, - const BigInt& v, - bool redc_needed) : - m_params(params) - { - if(redc_needed == false) - { - m_v = v; - } - else - { - secure_vector<word> ws; - m_v = m_params->mul(v % m_params->p(), m_params->R2(), ws); - } - } - -Montgomery_Int::Montgomery_Int(std::shared_ptr<const Montgomery_Params> params, - const uint8_t bits[], size_t len, - bool redc_needed) : - m_params(params), - m_v(bits, len) - { - if(redc_needed) - { - secure_vector<word> ws; - m_v = m_params->mul(m_v % m_params->p(), m_params->R2(), ws); - } - } - -Montgomery_Int::Montgomery_Int(std::shared_ptr<const Montgomery_Params> params, - const word words[], size_t len, - bool redc_needed) : - m_params(params), - m_v(words, len) - { - if(redc_needed) - { - secure_vector<word> ws; - m_v = m_params->mul(m_v % m_params->p(), m_params->R2(), ws); - } - } - -void Montgomery_Int::fix_size() - { - const size_t p_words = m_params->p_words(); - - if(m_v.sig_words() > p_words) - throw Internal_Error("Montgomery_Int::fix_size v too large"); - - secure_vector<word>& w = m_v.get_word_vector(); - - if(w.size() != p_words) - { - w.resize(p_words); - w.shrink_to_fit(); - } - } - -bool Montgomery_Int::operator==(const Montgomery_Int& other) const - { - return m_v == other.m_v && m_params->p() == other.m_params->p(); - } - -std::vector<uint8_t> Montgomery_Int::serialize() const - { - std::vector<uint8_t> v(size()); - BigInt::encode_1363(v.data(), v.size(), value()); - return v; - } - -size_t Montgomery_Int::size() const - { - return m_params->p().bytes(); - } - -bool Montgomery_Int::is_one() const - { - return m_v == m_params->R1(); - } - -bool Montgomery_Int::is_zero() const - { - return m_v.is_zero(); - } - -BigInt Montgomery_Int::value() const - { - secure_vector<word> ws; - return m_params->redc(m_v, ws); - } - -Montgomery_Int Montgomery_Int::operator+(const Montgomery_Int& other) const - { - BigInt z = m_v + other.m_v; - secure_vector<word> ws; - z.reduce_below(m_params->p(), ws); - return Montgomery_Int(m_params, z, false); - } - -Montgomery_Int Montgomery_Int::operator-(const Montgomery_Int& other) const - { - BigInt z = m_v - other.m_v; - if(z.is_negative()) - z += m_params->p(); - return Montgomery_Int(m_params, z, false); - } - -Montgomery_Int& Montgomery_Int::operator+=(const Montgomery_Int& other) - { - secure_vector<word> ws; - return this->add(other, ws); - } - -Montgomery_Int& Montgomery_Int::add(const Montgomery_Int& other, secure_vector<word>& ws) - { - m_v.mod_add(other.m_v, m_params->p(), ws); - return (*this); - } - -Montgomery_Int& Montgomery_Int::operator-=(const Montgomery_Int& other) - { - secure_vector<word> ws; - return this->sub(other, ws); - } - -Montgomery_Int& Montgomery_Int::sub(const Montgomery_Int& other, secure_vector<word>& ws) - { - m_v.mod_sub(other.m_v, m_params->p(), ws); - return (*this); - } - -Montgomery_Int Montgomery_Int::operator*(const Montgomery_Int& other) const - { - secure_vector<word> ws; - return Montgomery_Int(m_params, m_params->mul(m_v, other.m_v, ws), false); - } - -Montgomery_Int Montgomery_Int::mul(const Montgomery_Int& other, - secure_vector<word>& ws) const - { - return Montgomery_Int(m_params, m_params->mul(m_v, other.m_v, ws), false); - } - -Montgomery_Int& Montgomery_Int::mul_by(const Montgomery_Int& other, - secure_vector<word>& ws) - { - m_params->mul_by(m_v, other.m_v, ws); - return (*this); - } - -Montgomery_Int& Montgomery_Int::mul_by(const secure_vector<word>& other, - secure_vector<word>& ws) - { - m_params->mul_by(m_v, other, ws); - return (*this); - } - -Montgomery_Int& Montgomery_Int::operator*=(const Montgomery_Int& other) - { - secure_vector<word> ws; - return mul_by(other, ws); - } - -Montgomery_Int& Montgomery_Int::operator*=(const secure_vector<word>& other) - { - secure_vector<word> ws; - return mul_by(other, ws); - } - -Montgomery_Int& Montgomery_Int::square_this_n_times(secure_vector<word>& ws, size_t n) - { - for(size_t i = 0; i != n; ++i) - m_params->square_this(m_v, ws); - return (*this); - } - -Montgomery_Int& Montgomery_Int::square_this(secure_vector<word>& ws) - { - m_params->square_this(m_v, ws); - return (*this); - } - -Montgomery_Int Montgomery_Int::square(secure_vector<word>& ws) const - { - return Montgomery_Int(m_params, m_params->sqr(m_v, ws), false); - } - -Montgomery_Int Montgomery_Int::multiplicative_inverse() const - { - secure_vector<word> ws; - const BigInt iv = m_params->mul(m_params->inv_mod_p(m_v), m_params->R3(), ws); - return Montgomery_Int(m_params, iv, false); - } - -Montgomery_Int Montgomery_Int::additive_inverse() const - { - return Montgomery_Int(m_params, m_params->p()) - (*this); - } - -Montgomery_Int& Montgomery_Int::mul_by_2(secure_vector<word>& ws) - { - m_v <<= 1; - m_v.reduce_below(m_params->p(), ws); - return (*this); - } - -Montgomery_Int& Montgomery_Int::mul_by_3(secure_vector<word>& ws) - { - m_v *= 3; - m_v.reduce_below(m_params->p(), ws); - return (*this); - } - -Montgomery_Int& Montgomery_Int::mul_by_4(secure_vector<word>& ws) - { - m_v <<= 2; - m_v.reduce_below(m_params->p(), ws); - return (*this); - } - -Montgomery_Int& Montgomery_Int::mul_by_8(secure_vector<word>& ws) - { - m_v <<= 3; - m_v.reduce_below(m_params->p(), ws); - return (*this); - } - -} diff --git a/src/libs/3rdparty/botan/src/lib/math/numbertheory/monty.h b/src/libs/3rdparty/botan/src/lib/math/numbertheory/monty.h deleted file mode 100644 index e5ab2f9adab..00000000000 --- a/src/libs/3rdparty/botan/src/lib/math/numbertheory/monty.h +++ /dev/null @@ -1,190 +0,0 @@ -/* -* (C) 2018 Jack Lloyd -* -* Botan is released under the Simplified BSD License (see license.txt) -*/ - -#ifndef BOTAN_MONTY_INT_H_ -#define BOTAN_MONTY_INT_H_ - -#include <botan/bigint.h> - -namespace Botan { - -class Modular_Reducer; - -class Montgomery_Params; - -/** -* The Montgomery representation of an integer -*/ -class BOTAN_UNSTABLE_API Montgomery_Int final - { - public: - /** - * Create a zero-initialized Montgomery_Int - */ - Montgomery_Int(std::shared_ptr<const Montgomery_Params> params) : m_params(params) {} - - /** - * Create a Montgomery_Int - */ - Montgomery_Int(std::shared_ptr<const Montgomery_Params> params, - const BigInt& v, - bool redc_needed = true); - - /** - * Create a Montgomery_Int - */ - Montgomery_Int(std::shared_ptr<const Montgomery_Params> params, - const uint8_t bits[], size_t len, - bool redc_needed = true); - - /** - * Create a Montgomery_Int - */ - Montgomery_Int(std::shared_ptr<const Montgomery_Params> params, - const word words[], size_t len, - bool redc_needed = true); - - bool operator==(const Montgomery_Int& other) const; - bool operator!=(const Montgomery_Int& other) const { return (m_v != other.m_v); } - - std::vector<uint8_t> serialize() const; - - size_t size() const; - bool is_one() const; - bool is_zero() const; - - void fix_size(); - - /** - * Return the value to normal mod-p space - */ - BigInt value() const; - - /** - * Return the Montgomery representation - */ - const BigInt& repr() const { return m_v; } - - Montgomery_Int operator+(const Montgomery_Int& other) const; - - Montgomery_Int operator-(const Montgomery_Int& other) const; - - Montgomery_Int& operator+=(const Montgomery_Int& other); - - Montgomery_Int& operator-=(const Montgomery_Int& other); - - Montgomery_Int operator*(const Montgomery_Int& other) const; - - Montgomery_Int& operator*=(const Montgomery_Int& other); - - Montgomery_Int& operator*=(const secure_vector<word>& other); - - Montgomery_Int& add(const Montgomery_Int& other, - secure_vector<word>& ws); - - Montgomery_Int& sub(const Montgomery_Int& other, - secure_vector<word>& ws); - - Montgomery_Int mul(const Montgomery_Int& other, - secure_vector<word>& ws) const; - - Montgomery_Int& mul_by(const Montgomery_Int& other, - secure_vector<word>& ws); - - Montgomery_Int& mul_by(const secure_vector<word>& other, - secure_vector<word>& ws); - - Montgomery_Int square(secure_vector<word>& ws) const; - - Montgomery_Int& square_this(secure_vector<word>& ws); - - Montgomery_Int& square_this_n_times(secure_vector<word>& ws, size_t n); - - Montgomery_Int multiplicative_inverse() const; - - Montgomery_Int additive_inverse() const; - - Montgomery_Int& mul_by_2(secure_vector<word>& ws); - - Montgomery_Int& mul_by_3(secure_vector<word>& ws); - - Montgomery_Int& mul_by_4(secure_vector<word>& ws); - - Montgomery_Int& mul_by_8(secure_vector<word>& ws); - - void const_time_poison() const { m_v.const_time_poison(); } - void const_time_unpoison() const { return m_v.const_time_unpoison(); } - - private: - std::shared_ptr<const Montgomery_Params> m_params; - BigInt m_v; - }; - -/** -* Parameters for Montgomery Reduction -*/ -class BOTAN_UNSTABLE_API Montgomery_Params final - { - public: - /** - * Initialize a set of Montgomery reduction parameters. These values - * can be shared by all values in a specific Montgomery domain. - */ - Montgomery_Params(const BigInt& p, const Modular_Reducer& mod_p); - - /** - * Initialize a set of Montgomery reduction parameters. These values - * can be shared by all values in a specific Montgomery domain. - */ - Montgomery_Params(const BigInt& p); - - const BigInt& p() const { return m_p; } - const BigInt& R1() const { return m_r1; } - const BigInt& R2() const { return m_r2; } - const BigInt& R3() const { return m_r3; } - - word p_dash() const { return m_p_dash; } - - size_t p_words() const { return m_p_words; } - - BigInt redc(const BigInt& x, - secure_vector<word>& ws) const; - - BigInt mul(const BigInt& x, - const BigInt& y, - secure_vector<word>& ws) const; - - BigInt mul(const BigInt& x, - const secure_vector<word>& y, - secure_vector<word>& ws) const; - - void mul_by(BigInt& x, - const secure_vector<word>& y, - secure_vector<word>& ws) const; - - void mul_by(BigInt& x, const BigInt& y, - secure_vector<word>& ws) const; - - BigInt sqr(const BigInt& x, - secure_vector<word>& ws) const; - - void square_this(BigInt& x, - secure_vector<word>& ws) const; - - BigInt inv_mod_p(const BigInt& x) const; - - private: - BigInt m_p; - BigInt m_r1; - BigInt m_r2; - BigInt m_r3; - word m_p_dash; - size_t m_p_words; - }; - -} - -#endif diff --git a/src/libs/3rdparty/botan/src/lib/math/numbertheory/monty_exp.cpp b/src/libs/3rdparty/botan/src/lib/math/numbertheory/monty_exp.cpp deleted file mode 100644 index 2b5bbd81dcb..00000000000 --- a/src/libs/3rdparty/botan/src/lib/math/numbertheory/monty_exp.cpp +++ /dev/null @@ -1,248 +0,0 @@ -/* -* Montgomery Exponentiation -* (C) 1999-2010,2012,2018 Jack Lloyd -* 2016 Matthias Gierlings -* -* Botan is released under the Simplified BSD License (see license.txt) -*/ - -#include <botan/internal/monty_exp.h> -#include <botan/internal/ct_utils.h> -#include <botan/internal/rounding.h> -#include <botan/numthry.h> -#include <botan/reducer.h> -#include <botan/monty.h> - -namespace Botan { - -class Montgomery_Exponentation_State - { - public: - Montgomery_Exponentation_State(std::shared_ptr<const Montgomery_Params> params, - const BigInt& g, - size_t window_bits, - bool const_time); - - BigInt exponentiation(const BigInt& k, size_t max_k_bits) const; - - BigInt exponentiation_vartime(const BigInt& k) const; - private: - std::shared_ptr<const Montgomery_Params> m_params; - std::vector<Montgomery_Int> m_g; - size_t m_window_bits; - bool m_const_time; - }; - -Montgomery_Exponentation_State::Montgomery_Exponentation_State(std::shared_ptr<const Montgomery_Params> params, - const BigInt& g, - size_t window_bits, - bool const_time) : - m_params(params), - m_window_bits(window_bits == 0 ? 4 : window_bits), - m_const_time(const_time) - { - if(m_window_bits < 1 || m_window_bits > 12) // really even 8 is too large ... - throw Invalid_Argument("Invalid window bits for Montgomery exponentiation"); - - const size_t window_size = (static_cast<size_t>(1) << m_window_bits); - - m_g.reserve(window_size); - - m_g.push_back(Montgomery_Int(m_params, m_params->R1(), false)); - - m_g.push_back(Montgomery_Int(m_params, g)); - - const Montgomery_Int& monty_g = m_g[1]; - - for(size_t i = 2; i != window_size; ++i) - { - m_g.push_back(monty_g * m_g[i - 1]); - } - - // Resize each element to exactly p words - for(size_t i = 0; i != window_size; ++i) - { - m_g[i].fix_size(); - if(const_time) - m_g[i].const_time_poison(); - } - } - -namespace { - -void const_time_lookup(secure_vector<word>& output, - const std::vector<Montgomery_Int>& g, - size_t nibble) - { - const size_t words = output.size(); - - clear_mem(output.data(), output.size()); - - for(size_t i = 0; i != g.size(); ++i) - { - const secure_vector<word>& vec = g[i].repr().get_word_vector(); - - BOTAN_ASSERT(vec.size() >= words, - "Word size as expected in const_time_lookup"); - - const word mask = CT::is_equal<word>(i, nibble); - - for(size_t w = 0; w != words; ++w) - output[w] |= (mask & vec[w]); - } - } - -} - -BigInt Montgomery_Exponentation_State::exponentiation(const BigInt& scalar, size_t max_k_bits) const - { - BOTAN_DEBUG_ASSERT(scalar.bits() <= max_k_bits); - // TODO add a const-time implementation of above assert and use it in release builds - - const size_t exp_nibbles = (max_k_bits + m_window_bits - 1) / m_window_bits; - - if(exp_nibbles == 0) - return 1; - - secure_vector<word> e_bits(m_params->p_words()); - secure_vector<word> ws; - - const_time_lookup(e_bits, m_g, scalar.get_substring(m_window_bits*(exp_nibbles-1), m_window_bits)); - Montgomery_Int x(m_params, e_bits.data(), e_bits.size(), false); - - for(size_t i = exp_nibbles - 1; i > 0; --i) - { - x.square_this_n_times(ws, m_window_bits); - const_time_lookup(e_bits, m_g, scalar.get_substring(m_window_bits*(i-1), m_window_bits)); - x.mul_by(e_bits, ws); - } - - x.const_time_unpoison(); - return x.value(); - } - -BigInt Montgomery_Exponentation_State::exponentiation_vartime(const BigInt& scalar) const - { - BOTAN_ASSERT_NOMSG(m_const_time == false); - - const size_t exp_nibbles = (scalar.bits() + m_window_bits - 1) / m_window_bits; - - secure_vector<word> ws; - - if(exp_nibbles == 0) - return 1; - - Montgomery_Int x = m_g[scalar.get_substring(m_window_bits*(exp_nibbles-1), m_window_bits)]; - - for(size_t i = exp_nibbles - 1; i > 0; --i) - { - x.square_this_n_times(ws, m_window_bits); - - const uint32_t nibble = scalar.get_substring(m_window_bits*(i-1), m_window_bits); - if(nibble > 0) - x.mul_by(m_g[nibble], ws); - } - - x.const_time_unpoison(); - return x.value(); - } - -std::shared_ptr<const Montgomery_Exponentation_State> -monty_precompute(std::shared_ptr<const Montgomery_Params> params, - const BigInt& g, - size_t window_bits, - bool const_time) - { - return std::make_shared<const Montgomery_Exponentation_State>(params, g, window_bits, const_time); - } - -BigInt monty_execute(const Montgomery_Exponentation_State& precomputed_state, - const BigInt& k, size_t max_k_bits) - { - return precomputed_state.exponentiation(k, max_k_bits); - } - -BigInt monty_execute_vartime(const Montgomery_Exponentation_State& precomputed_state, - const BigInt& k) - { - return precomputed_state.exponentiation_vartime(k); - } - -BigInt monty_multi_exp(std::shared_ptr<const Montgomery_Params> params_p, - const BigInt& x_bn, - const BigInt& z1, - const BigInt& y_bn, - const BigInt& z2) - { - if(z1.is_negative() || z2.is_negative()) - throw Invalid_Argument("multi_exponentiate exponents must be positive"); - - const size_t z_bits = round_up(std::max(z1.bits(), z2.bits()), 2); - - secure_vector<word> ws; - - const Montgomery_Int one(params_p, params_p->R1(), false); - //const Montgomery_Int one(params_p, 1); - - const Montgomery_Int x1(params_p, x_bn); - const Montgomery_Int x2 = x1.square(ws); - const Montgomery_Int x3 = x2.mul(x1, ws); - - const Montgomery_Int y1(params_p, y_bn); - const Montgomery_Int y2 = y1.square(ws); - const Montgomery_Int y3 = y2.mul(y1, ws); - - const Montgomery_Int y1x1 = y1.mul(x1, ws); - const Montgomery_Int y1x2 = y1.mul(x2, ws); - const Montgomery_Int y1x3 = y1.mul(x3, ws); - - const Montgomery_Int y2x1 = y2.mul(x1, ws); - const Montgomery_Int y2x2 = y2.mul(x2, ws); - const Montgomery_Int y2x3 = y2.mul(x3, ws); - - const Montgomery_Int y3x1 = y3.mul(x1, ws); - const Montgomery_Int y3x2 = y3.mul(x2, ws); - const Montgomery_Int y3x3 = y3.mul(x3, ws); - - const Montgomery_Int* M[16] = { - &one, - &x1, // 0001 - &x2, // 0010 - &x3, // 0011 - &y1, // 0100 - &y1x1, - &y1x2, - &y1x3, - &y2, // 1000 - &y2x1, - &y2x2, - &y2x3, - &y3, // 1100 - &y3x1, - &y3x2, - &y3x3 - }; - - Montgomery_Int H = one; - - for(size_t i = 0; i != z_bits; i += 2) - { - if(i > 0) - { - H.square_this(ws); - H.square_this(ws); - } - - const uint32_t z1_b = z1.get_substring(z_bits - i - 2, 2); - const uint32_t z2_b = z2.get_substring(z_bits - i - 2, 2); - - const uint32_t z12 = (4*z2_b) + z1_b; - - H.mul_by(*M[z12], ws); - } - - return H.value(); - } - -} - diff --git a/src/libs/3rdparty/botan/src/lib/math/numbertheory/monty_exp.h b/src/libs/3rdparty/botan/src/lib/math/numbertheory/monty_exp.h deleted file mode 100644 index 632d7f7d6e5..00000000000 --- a/src/libs/3rdparty/botan/src/lib/math/numbertheory/monty_exp.h +++ /dev/null @@ -1,54 +0,0 @@ -/* -* (C) 2018 Jack Lloyd -* -* Botan is released under the Simplified BSD License (see license.txt) -*/ - -#ifndef BOTAN_MONTY_EXP_H_ -#define BOTAN_MONTY_EXP_H_ - -#include <memory> - -namespace Botan { - -class BigInt; -class Modular_Reducer; - -class Montgomery_Params; - -class Montgomery_Exponentation_State; - -/* -* Precompute for calculating values g^x mod p -*/ -std::shared_ptr<const Montgomery_Exponentation_State> -monty_precompute(std::shared_ptr<const Montgomery_Params> params_p, - const BigInt& g, - size_t window_bits, - bool const_time = true); - -/* -* Return g^k mod p -*/ -BigInt monty_execute(const Montgomery_Exponentation_State& precomputed_state, - const BigInt& k, size_t max_k_bits); - -/* -* Return g^k mod p taking variable time depending on k -* @warning only use this if k is public -*/ -BigInt monty_execute_vartime(const Montgomery_Exponentation_State& precomputed_state, - const BigInt& k); - -/** -* Return (x^z1 * y^z2) % p -*/ -BigInt monty_multi_exp(std::shared_ptr<const Montgomery_Params> params_p, - const BigInt& x, - const BigInt& z1, - const BigInt& y, - const BigInt& z2); - -} - -#endif diff --git a/src/libs/3rdparty/botan/src/lib/math/numbertheory/mp_numth.cpp b/src/libs/3rdparty/botan/src/lib/math/numbertheory/mp_numth.cpp deleted file mode 100644 index eef64199656..00000000000 --- a/src/libs/3rdparty/botan/src/lib/math/numbertheory/mp_numth.cpp +++ /dev/null @@ -1,84 +0,0 @@ -/* -* Fused and Important MP Algorithms -* (C) 1999-2007 Jack Lloyd -* 2016 Matthias Gierlings -* -* Botan is released under the Simplified BSD License (see license.txt) -*/ - -#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) - { - BigInt z = x; - secure_vector<word> ws; - z.square(ws); - return z; - } - -/* -* Multiply-Add Operation -*/ -BigInt mul_add(const BigInt& a, const BigInt& b, const BigInt& c) - { - if(c.is_negative()) - 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_sw + b_sw, c_sw) + 1); - secure_vector<word> workspace(r.size()); - - bigint_mul(r.mutable_data(), r.size(), - a.data(), a.size(), a_sw, - b.data(), b.size(), b_sw, - workspace.data(), workspace.size()); - - 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; - } - -/* -* Multiply-Subtract Operation -*/ -BigInt mul_sub(const BigInt& a, const BigInt& b, const BigInt& c) - { - if(c.is_negative() || c.is_zero()) - throw Invalid_Argument("mul_sub: Third argument must be > 0"); - - BigInt r = a; - r *= b; - r -= c; - return r; - } - -} diff --git a/src/libs/3rdparty/botan/src/lib/math/numbertheory/nistp_redc.cpp b/src/libs/3rdparty/botan/src/lib/math/numbertheory/nistp_redc.cpp deleted file mode 100644 index ba0c5142d72..00000000000 --- a/src/libs/3rdparty/botan/src/lib/math/numbertheory/nistp_redc.cpp +++ /dev/null @@ -1,619 +0,0 @@ -/* -* NIST prime reductions -* (C) 2014,2015,2018 Jack Lloyd -* -* Botan is released under the Simplified BSD License (see license.txt) -*/ - -#include <botan/curve_nistp.h> -#include <botan/internal/mp_core.h> -#include <botan/internal/mp_asmi.h> - -namespace Botan { - -const BigInt& prime_p521() - { - static const BigInt p521("0x1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" - "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"); - - return p521; - } - -void redc_p521(BigInt& x, secure_vector<word>& ws) - { - const size_t p_full_words = 521 / BOTAN_MP_WORD_BITS; - const size_t p_top_bits = 521 % BOTAN_MP_WORD_BITS; - const size_t p_words = p_full_words + 1; - - const size_t x_sw = x.sig_words(); - - if(x_sw < p_words) - return; // already smaller - - if(ws.size() < p_words + 1) - ws.resize(p_words + 1); - - clear_mem(ws.data(), ws.size()); - bigint_shr2(ws.data(), x.data(), x_sw, p_full_words, p_top_bits); - - x.mask_bits(521); - - // Word-level carry will be zero - word carry = bigint_add3_nc(x.mutable_data(), x.data(), p_words, ws.data(), p_words); - BOTAN_ASSERT_EQUAL(carry, 0, "Final carry in P-521 reduction"); - - // Now find the actual carry in bit 522 - const word bit_522_set = x.word_at(p_full_words) >> p_top_bits; - -#if (BOTAN_MP_WORD_BITS == 64) - static const word p521_words[9] = { - 0xFFFFFFFFFFFFFFFF, 0xFFFFFFFFFFFFFFFF, 0xFFFFFFFFFFFFFFFF, 0xFFFFFFFFFFFFFFFF, - 0xFFFFFFFFFFFFFFFF, 0xFFFFFFFFFFFFFFFF, 0xFFFFFFFFFFFFFFFF, 0xFFFFFFFFFFFFFFFF, - 0x1FF }; -#endif - - /* - * If bit 522 is set then we overflowed and must reduce. Otherwise, if the - * top bit is set, it is possible we have x == 2**521 - 1 so check for that. - */ - if(bit_522_set) - { -#if (BOTAN_MP_WORD_BITS == 64) - bigint_sub2(x.mutable_data(), x.size(), p521_words, 9); -#else - x -= prime_p521(); -#endif - } - else if(x.word_at(p_full_words) >> (p_top_bits - 1)) - { - /* - * Otherwise we must reduce if p is exactly 2^512-1 - */ - - word possibly_521 = MP_WORD_MAX; - for(size_t i = 0; i != p_full_words; ++i) - possibly_521 &= x.word_at(i); - - if(possibly_521 == MP_WORD_MAX) - x.reduce_below(prime_p521(), ws); - } - } - -#if defined(BOTAN_HAS_NIST_PRIME_REDUCERS_W32) - -namespace { - -/** -* Treating this MPI as a sequence of 32-bit words in big-endian -* order, return word i (or 0 if out of range) -*/ -inline uint32_t get_uint32_t(const BigInt& x, size_t i) - { -#if (BOTAN_MP_WORD_BITS == 32) - return x.word_at(i); -#else - return static_cast<uint32_t>(x.word_at(i/2) >> ((i % 2)*32)); -#endif - } - -inline void set_words(BigInt& x, size_t i, uint32_t R0, uint32_t R1) - { -#if (BOTAN_MP_WORD_BITS == 32) - x.set_word_at(i, R0); - x.set_word_at(i+1, R1); -#else - x.set_word_at(i/2, (static_cast<uint64_t>(R1) << 32) | R0); -#endif - } - -} - -const BigInt& prime_p192() - { - static const BigInt p192("0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF"); - return p192; - } - -void redc_p192(BigInt& x, secure_vector<word>& ws) - { - BOTAN_UNUSED(ws); - - static const size_t p192_limbs = 192 / BOTAN_MP_WORD_BITS; - - const uint64_t X00 = get_uint32_t(x, 0); - const uint64_t X01 = get_uint32_t(x, 1); - const uint64_t X02 = get_uint32_t(x, 2); - const uint64_t X03 = get_uint32_t(x, 3); - const uint64_t X04 = get_uint32_t(x, 4); - const uint64_t X05 = get_uint32_t(x, 5); - const uint64_t X06 = get_uint32_t(x, 6); - const uint64_t X07 = get_uint32_t(x, 7); - const uint64_t X08 = get_uint32_t(x, 8); - const uint64_t X09 = get_uint32_t(x, 9); - const uint64_t X10 = get_uint32_t(x, 10); - const uint64_t X11 = get_uint32_t(x, 11); - - const uint64_t S0 = X00 + X06 + X10; - const uint64_t S1 = X01 + X07 + X11; - const uint64_t S2 = X02 + X06 + X08 + X10; - const uint64_t S3 = X03 + X07 + X09 + X11; - const uint64_t S4 = X04 + X08 + X10; - const uint64_t S5 = X05 + X09 + X11; - - x.mask_bits(192); - - uint64_t S = 0; - uint32_t R0 = 0, R1 = 0; - - S += S0; - R0 = static_cast<uint32_t>(S); - S >>= 32; - - S += S1; - R1 = static_cast<uint32_t>(S); - S >>= 32; - - set_words(x, 0, R0, R1); - - S += S2; - R0 = static_cast<uint32_t>(S); - S >>= 32; - - S += S3; - R1 = static_cast<uint32_t>(S); - S >>= 32; - - set_words(x, 2, R0, R1); - - S += S4; - R0 = static_cast<uint32_t>(S); - S >>= 32; - - S += S5; - R1 = static_cast<uint32_t>(S); - S >>= 32; - - set_words(x, 4, R0, R1); - - // No underflow possible - - BOTAN_ASSERT(S <= 2, "Expected overflow in P-192 reduce"); - - /* - This is a table of (i*P-192) % 2**192 for i in 1...3 - */ - static const word p192_mults[3][p192_limbs] = { -#if (BOTAN_MP_WORD_BITS == 64) - {0xFFFFFFFFFFFFFFFF, 0xFFFFFFFFFFFFFFFE, 0xFFFFFFFFFFFFFFFF}, - {0xFFFFFFFFFFFFFFFE, 0xFFFFFFFFFFFFFFFD, 0xFFFFFFFFFFFFFFFF}, - {0xFFFFFFFFFFFFFFFD, 0xFFFFFFFFFFFFFFFC, 0xFFFFFFFFFFFFFFFF}, -#else - {0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFE, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF}, - {0xFFFFFFFE, 0xFFFFFFFF, 0xFFFFFFFD, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF}, - {0xFFFFFFFD, 0xFFFFFFFF, 0xFFFFFFFC, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF}, -#endif - }; - - if(S == 0 && x.word_at(p192_limbs-1) < p192_mults[0][p192_limbs-1]) - { - return; - } - - word borrow = bigint_sub2(x.mutable_data(), x.size(), p192_mults[S], p192_limbs); - - BOTAN_ASSERT(borrow == 0 || borrow == 1, "Expected borrow during P-192 reduction"); - - if(borrow) - { - bigint_add2(x.mutable_data(), x.size() - 1, p192_mults[0], p192_limbs); - } - } - -const BigInt& prime_p224() - { - static const BigInt p224("0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001"); - return p224; - } - -void redc_p224(BigInt& x, secure_vector<word>& ws) - { - static const size_t p224_limbs = (BOTAN_MP_WORD_BITS == 32) ? 7 : 4; - - BOTAN_UNUSED(ws); - - const int64_t X00 = get_uint32_t(x, 0); - const int64_t X01 = get_uint32_t(x, 1); - const int64_t X02 = get_uint32_t(x, 2); - const int64_t X03 = get_uint32_t(x, 3); - const int64_t X04 = get_uint32_t(x, 4); - const int64_t X05 = get_uint32_t(x, 5); - const int64_t X06 = get_uint32_t(x, 6); - const int64_t X07 = get_uint32_t(x, 7); - const int64_t X08 = get_uint32_t(x, 8); - const int64_t X09 = get_uint32_t(x, 9); - const int64_t X10 = get_uint32_t(x, 10); - const int64_t X11 = get_uint32_t(x, 11); - const int64_t X12 = get_uint32_t(x, 12); - const int64_t X13 = get_uint32_t(x, 13); - - // One full copy of P224 is added, so the result is always positive - - const int64_t S0 = 0x00000001 + X00 - X07 - X11; - const int64_t S1 = 0x00000000 + X01 - X08 - X12; - const int64_t S2 = 0x00000000 + X02 - X09 - X13; - const int64_t S3 = 0xFFFFFFFF + X03 + X07 + X11 - X10; - const int64_t S4 = 0xFFFFFFFF + X04 + X08 + X12 - X11; - const int64_t S5 = 0xFFFFFFFF + X05 + X09 + X13 - X12; - const int64_t S6 = 0xFFFFFFFF + X06 + X10 - X13; - - x.mask_bits(224); - x.shrink_to_fit(p224_limbs + 1); - - int64_t S = 0; - uint32_t R0 = 0, R1 = 0; - - S += S0; - R0 = static_cast<uint32_t>(S); - S >>= 32; - - S += S1; - R1 = static_cast<uint32_t>(S); - S >>= 32; - - set_words(x, 0, R0, R1); - - S += S2; - R0 = static_cast<uint32_t>(S); - S >>= 32; - - S += S3; - R1 = static_cast<uint32_t>(S); - S >>= 32; - - set_words(x, 2, R0, R1); - - S += S4; - R0 = static_cast<uint32_t>(S); - S >>= 32; - - S += S5; - R1 = static_cast<uint32_t>(S); - S >>= 32; - - set_words(x, 4, R0, R1); - - S += S6; - R0 = static_cast<uint32_t>(S); - S >>= 32; - - set_words(x, 6, R0, 0); - - BOTAN_ASSERT(S >= 0 && S <= 2, "Expected overflow in P-224 reduce"); - - static const word p224_mults[3][p224_limbs] = { -#if (BOTAN_MP_WORD_BITS == 64) - {0x0000000000000001, 0xFFFFFFFF00000000, 0xFFFFFFFFFFFFFFFF, 0x00000000FFFFFFFF}, - {0x0000000000000002, 0xFFFFFFFE00000000, 0xFFFFFFFFFFFFFFFF, 0x00000000FFFFFFFF}, - {0x0000000000000003, 0xFFFFFFFD00000000, 0xFFFFFFFFFFFFFFFF, 0x00000000FFFFFFFF}, -#else - {0x00000001, 0x00000000, 0x00000000, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF}, - {0x00000002, 0x00000000, 0x00000000, 0xFFFFFFFE, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF}, - {0x00000003, 0x00000000, 0x00000000, 0xFFFFFFFD, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF} -#endif - - }; - - if(S == 0 && x.word_at(p224_limbs-1) < p224_mults[0][p224_limbs-1]) - { - return; - } - - word borrow = bigint_sub2(x.mutable_data(), x.size(), p224_mults[S], p224_limbs); - - BOTAN_ASSERT(borrow == 0 || borrow == 1, "Expected borrow during P-224 reduction"); - - if(borrow) - { - bigint_add2(x.mutable_data(), x.size() - 1, p224_mults[0], p224_limbs); - } - } - -const BigInt& prime_p256() - { - static const BigInt p256("0xFFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF"); - return p256; - } - -void redc_p256(BigInt& x, secure_vector<word>& ws) - { - static const size_t p256_limbs = (BOTAN_MP_WORD_BITS == 32) ? 8 : 4; - - BOTAN_UNUSED(ws); - - const int64_t X00 = get_uint32_t(x, 0); - const int64_t X01 = get_uint32_t(x, 1); - const int64_t X02 = get_uint32_t(x, 2); - const int64_t X03 = get_uint32_t(x, 3); - const int64_t X04 = get_uint32_t(x, 4); - const int64_t X05 = get_uint32_t(x, 5); - const int64_t X06 = get_uint32_t(x, 6); - const int64_t X07 = get_uint32_t(x, 7); - const int64_t X08 = get_uint32_t(x, 8); - const int64_t X09 = get_uint32_t(x, 9); - const int64_t X10 = get_uint32_t(x, 10); - const int64_t X11 = get_uint32_t(x, 11); - const int64_t X12 = get_uint32_t(x, 12); - const int64_t X13 = get_uint32_t(x, 13); - const int64_t X14 = get_uint32_t(x, 14); - const int64_t X15 = get_uint32_t(x, 15); - - // Adds 6 * P-256 to prevent underflow - const int64_t S0 = 0xFFFFFFFA + X00 + X08 + X09 - X11 - X12 - X13 - X14; - const int64_t S1 = 0xFFFFFFFF + X01 + X09 + X10 - X12 - X13 - X14 - X15; - const int64_t S2 = 0xFFFFFFFF + X02 + X10 + X11 - X13 - X14 - X15; - const int64_t S3 = 0x00000005 + X03 + (X11 + X12)*2 + X13 - X15 - X08 - X09; - const int64_t S4 = 0x00000000 + X04 + (X12 + X13)*2 + X14 - X09 - X10; - const int64_t S5 = 0x00000000 + X05 + (X13 + X14)*2 + X15 - X10 - X11; - const int64_t S6 = 0x00000006 + X06 + X13 + X14*3 + X15*2 - X08 - X09; - const int64_t S7 = 0xFFFFFFFA + X07 + X15*3 + X08 - X10 - X11 - X12 - X13; - - x.mask_bits(256); - x.shrink_to_fit(p256_limbs + 1); - - int64_t S = 0; - - uint32_t R0 = 0, R1 = 0; - - S += S0; - R0 = static_cast<uint32_t>(S); - S >>= 32; - - S += S1; - R1 = static_cast<uint32_t>(S); - S >>= 32; - - set_words(x, 0, R0, R1); - - S += S2; - R0 = static_cast<uint32_t>(S); - S >>= 32; - - S += S3; - R1 = static_cast<uint32_t>(S); - S >>= 32; - - set_words(x, 2, R0, R1); - - S += S4; - R0 = static_cast<uint32_t>(S); - S >>= 32; - - S += S5; - R1 = static_cast<uint32_t>(S); - S >>= 32; - - set_words(x, 4, R0, R1); - - S += S6; - R0 = static_cast<uint32_t>(S); - S >>= 32; - - S += S7; - R1 = static_cast<uint32_t>(S); - S >>= 32; - set_words(x, 6, R0, R1); - - S += 5; // the top digits of 6*P-256 - - BOTAN_ASSERT(S >= 0 && S <= 10, "Expected overflow"); - - /* - This is a table of (i*P-256) % 2**256 for i in 1...10 - */ - static const word p256_mults[11][p256_limbs] = { -#if (BOTAN_MP_WORD_BITS == 64) - {0xFFFFFFFFFFFFFFFF, 0x00000000FFFFFFFF, 0x0000000000000000, 0xFFFFFFFF00000001}, - {0xFFFFFFFFFFFFFFFE, 0x00000001FFFFFFFF, 0x0000000000000000, 0xFFFFFFFE00000002}, - {0xFFFFFFFFFFFFFFFD, 0x00000002FFFFFFFF, 0x0000000000000000, 0xFFFFFFFD00000003}, - {0xFFFFFFFFFFFFFFFC, 0x00000003FFFFFFFF, 0x0000000000000000, 0xFFFFFFFC00000004}, - {0xFFFFFFFFFFFFFFFB, 0x00000004FFFFFFFF, 0x0000000000000000, 0xFFFFFFFB00000005}, - {0xFFFFFFFFFFFFFFFA, 0x00000005FFFFFFFF, 0x0000000000000000, 0xFFFFFFFA00000006}, - {0xFFFFFFFFFFFFFFF9, 0x00000006FFFFFFFF, 0x0000000000000000, 0xFFFFFFF900000007}, - {0xFFFFFFFFFFFFFFF8, 0x00000007FFFFFFFF, 0x0000000000000000, 0xFFFFFFF800000008}, - {0xFFFFFFFFFFFFFFF7, 0x00000008FFFFFFFF, 0x0000000000000000, 0xFFFFFFF700000009}, - {0xFFFFFFFFFFFFFFF6, 0x00000009FFFFFFFF, 0x0000000000000000, 0xFFFFFFF60000000A}, - {0xFFFFFFFFFFFFFFF5, 0x0000000AFFFFFFFF, 0x0000000000000000, 0xFFFFFFF50000000B}, -#else - {0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0x00000000, 0x00000000, 0x00000000, 0x00000001, 0xFFFFFFFF}, - {0xFFFFFFFE, 0xFFFFFFFF, 0xFFFFFFFF, 0x00000001, 0x00000000, 0x00000000, 0x00000002, 0xFFFFFFFE}, - {0xFFFFFFFD, 0xFFFFFFFF, 0xFFFFFFFF, 0x00000002, 0x00000000, 0x00000000, 0x00000003, 0xFFFFFFFD}, - {0xFFFFFFFC, 0xFFFFFFFF, 0xFFFFFFFF, 0x00000003, 0x00000000, 0x00000000, 0x00000004, 0xFFFFFFFC}, - {0xFFFFFFFB, 0xFFFFFFFF, 0xFFFFFFFF, 0x00000004, 0x00000000, 0x00000000, 0x00000005, 0xFFFFFFFB}, - {0xFFFFFFFA, 0xFFFFFFFF, 0xFFFFFFFF, 0x00000005, 0x00000000, 0x00000000, 0x00000006, 0xFFFFFFFA}, - {0xFFFFFFF9, 0xFFFFFFFF, 0xFFFFFFFF, 0x00000006, 0x00000000, 0x00000000, 0x00000007, 0xFFFFFFF9}, - {0xFFFFFFF8, 0xFFFFFFFF, 0xFFFFFFFF, 0x00000007, 0x00000000, 0x00000000, 0x00000008, 0xFFFFFFF8}, - {0xFFFFFFF7, 0xFFFFFFFF, 0xFFFFFFFF, 0x00000008, 0x00000000, 0x00000000, 0x00000009, 0xFFFFFFF7}, - {0xFFFFFFF6, 0xFFFFFFFF, 0xFFFFFFFF, 0x00000009, 0x00000000, 0x00000000, 0x0000000A, 0xFFFFFFF6}, - {0xFFFFFFF5, 0xFFFFFFFF, 0xFFFFFFFF, 0x0000000A, 0x00000000, 0x00000000, 0x0000000B, 0xFFFFFFF5}, -#endif - }; - - if(S == 0 && x.word_at(p256_limbs-1) < p256_mults[0][p256_limbs-1]) - { - return; - } - - word borrow = bigint_sub2(x.mutable_data(), x.size(), p256_mults[S], p256_limbs); - - BOTAN_ASSERT(borrow == 0 || borrow == 1, "Expected borrow during P-256 reduction"); - - if(borrow) - { - bigint_add2(x.mutable_data(), x.size() - 1, p256_mults[0], p256_limbs); - } - } - -const BigInt& prime_p384() - { - static const BigInt p384("0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFF"); - return p384; - } - -void redc_p384(BigInt& x, secure_vector<word>& ws) - { - BOTAN_UNUSED(ws); - - static const size_t p384_limbs = (BOTAN_MP_WORD_BITS == 32) ? 12 : 6; - - const int64_t X00 = get_uint32_t(x, 0); - const int64_t X01 = get_uint32_t(x, 1); - const int64_t X02 = get_uint32_t(x, 2); - const int64_t X03 = get_uint32_t(x, 3); - const int64_t X04 = get_uint32_t(x, 4); - const int64_t X05 = get_uint32_t(x, 5); - const int64_t X06 = get_uint32_t(x, 6); - const int64_t X07 = get_uint32_t(x, 7); - const int64_t X08 = get_uint32_t(x, 8); - const int64_t X09 = get_uint32_t(x, 9); - const int64_t X10 = get_uint32_t(x, 10); - const int64_t X11 = get_uint32_t(x, 11); - const int64_t X12 = get_uint32_t(x, 12); - const int64_t X13 = get_uint32_t(x, 13); - const int64_t X14 = get_uint32_t(x, 14); - const int64_t X15 = get_uint32_t(x, 15); - const int64_t X16 = get_uint32_t(x, 16); - const int64_t X17 = get_uint32_t(x, 17); - const int64_t X18 = get_uint32_t(x, 18); - const int64_t X19 = get_uint32_t(x, 19); - const int64_t X20 = get_uint32_t(x, 20); - const int64_t X21 = get_uint32_t(x, 21); - const int64_t X22 = get_uint32_t(x, 22); - const int64_t X23 = get_uint32_t(x, 23); - - // One copy of P-384 is added to prevent underflow - const int64_t S0 = 0xFFFFFFFF + X00 + X12 + X20 + X21 - X23; - const int64_t S1 = 0x00000000 + X01 + X13 + X22 + X23 - X12 - X20; - const int64_t S2 = 0x00000000 + X02 + X14 + X23 - X13 - X21; - const int64_t S3 = 0xFFFFFFFF + X03 + X12 + X15 + X20 + X21 - X14 - X22 - X23; - const int64_t S4 = 0xFFFFFFFE + X04 + X12 + X13 + X16 + X20 + X21*2 + X22 - X15 - X23*2; - const int64_t S5 = 0xFFFFFFFF + X05 + X13 + X14 + X17 + X21 + X22*2 + X23 - X16; - const int64_t S6 = 0xFFFFFFFF + X06 + X14 + X15 + X18 + X22 + X23*2 - X17; - const int64_t S7 = 0xFFFFFFFF + X07 + X15 + X16 + X19 + X23 - X18; - const int64_t S8 = 0xFFFFFFFF + X08 + X16 + X17 + X20 - X19; - const int64_t S9 = 0xFFFFFFFF + X09 + X17 + X18 + X21 - X20; - const int64_t SA = 0xFFFFFFFF + X10 + X18 + X19 + X22 - X21; - const int64_t SB = 0xFFFFFFFF + X11 + X19 + X20 + X23 - X22; - - x.mask_bits(384); - x.shrink_to_fit(p384_limbs + 1); - - int64_t S = 0; - - uint32_t R0 = 0, R1 = 0; - - S += S0; - R0 = static_cast<uint32_t>(S); - S >>= 32; - - S += S1; - R1 = static_cast<uint32_t>(S); - S >>= 32; - - set_words(x, 0, R0, R1); - - S += S2; - R0 = static_cast<uint32_t>(S); - S >>= 32; - - S += S3; - R1 = static_cast<uint32_t>(S); - S >>= 32; - - set_words(x, 2, R0, R1); - - S += S4; - R0 = static_cast<uint32_t>(S); - S >>= 32; - - S += S5; - R1 = static_cast<uint32_t>(S); - S >>= 32; - - set_words(x, 4, R0, R1); - - S += S6; - R0 = static_cast<uint32_t>(S); - S >>= 32; - - S += S7; - R1 = static_cast<uint32_t>(S); - S >>= 32; - - set_words(x, 6, R0, R1); - - S += S8; - R0 = static_cast<uint32_t>(S); - S >>= 32; - - S += S9; - R1 = static_cast<uint32_t>(S); - S >>= 32; - - set_words(x, 8, R0, R1); - - S += SA; - R0 = static_cast<uint32_t>(S); - S >>= 32; - - S += SB; - R1 = static_cast<uint32_t>(S); - S >>= 32; - - set_words(x, 10, R0, R1); - - BOTAN_ASSERT(S >= 0 && S <= 4, "Expected overflow in P-384 reduction"); - - /* - This is a table of (i*P-384) % 2**384 for i in 1...4 - */ - static const word p384_mults[5][p384_limbs] = { -#if (BOTAN_MP_WORD_BITS == 64) - {0x00000000FFFFFFFF, 0xFFFFFFFF00000000, 0xFFFFFFFFFFFFFFFE, 0xFFFFFFFFFFFFFFFF, 0xFFFFFFFFFFFFFFFF, 0xFFFFFFFFFFFFFFFF}, - {0x00000001FFFFFFFE, 0xFFFFFFFE00000000, 0xFFFFFFFFFFFFFFFD, 0xFFFFFFFFFFFFFFFF, 0xFFFFFFFFFFFFFFFF, 0xFFFFFFFFFFFFFFFF}, - {0x00000002FFFFFFFD, 0xFFFFFFFD00000000, 0xFFFFFFFFFFFFFFFC, 0xFFFFFFFFFFFFFFFF, 0xFFFFFFFFFFFFFFFF, 0xFFFFFFFFFFFFFFFF}, - {0x00000003FFFFFFFC, 0xFFFFFFFC00000000, 0xFFFFFFFFFFFFFFFB, 0xFFFFFFFFFFFFFFFF, 0xFFFFFFFFFFFFFFFF, 0xFFFFFFFFFFFFFFFF}, - {0x00000004FFFFFFFB, 0xFFFFFFFB00000000, 0xFFFFFFFFFFFFFFFA, 0xFFFFFFFFFFFFFFFF, 0xFFFFFFFFFFFFFFFF, 0xFFFFFFFFFFFFFFFF}, - -#else - {0xFFFFFFFF, 0x00000000, 0x00000000, 0xFFFFFFFF, 0xFFFFFFFE, 0xFFFFFFFF, - 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF}, - {0xFFFFFFFE, 0x00000001, 0x00000000, 0xFFFFFFFE, 0xFFFFFFFD, 0xFFFFFFFF, - 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF}, - {0xFFFFFFFD, 0x00000002, 0x00000000, 0xFFFFFFFD, 0xFFFFFFFC, 0xFFFFFFFF, - 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF}, - {0xFFFFFFFC, 0x00000003, 0x00000000, 0xFFFFFFFC, 0xFFFFFFFB, 0xFFFFFFFF, - 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF}, - {0xFFFFFFFB, 0x00000004, 0x00000000, 0xFFFFFFFB, 0xFFFFFFFA, 0xFFFFFFFF, - 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF}, -#endif - }; - - if(S == 0 && x.word_at(p384_limbs-1) < p384_mults[0][p384_limbs-1]) - { - return; - } - - word borrow = bigint_sub2(x.mutable_data(), x.size(), p384_mults[S], p384_limbs); - - BOTAN_ASSERT(borrow == 0 || borrow == 1, "Expected borrow during P-384 reduction"); - - if(borrow) - { - bigint_add2(x.mutable_data(), x.size() - 1, p384_mults[0], p384_limbs); - } - } - -#endif - - -} diff --git a/src/libs/3rdparty/botan/src/lib/math/numbertheory/numthry.cpp b/src/libs/3rdparty/botan/src/lib/math/numbertheory/numthry.cpp deleted file mode 100644 index 5bf649407ae..00000000000 --- a/src/libs/3rdparty/botan/src/lib/math/numbertheory/numthry.cpp +++ /dev/null @@ -1,506 +0,0 @@ -/* -* Number Theory Functions -* (C) 1999-2011,2016,2018 Jack Lloyd -* -* Botan is released under the Simplified BSD License (see license.txt) -*/ - -#include <botan/numthry.h> -#include <botan/pow_mod.h> -#include <botan/reducer.h> -#include <botan/monty.h> -#include <botan/rng.h> -#include <botan/internal/bit_ops.h> -#include <botan/internal/mp_core.h> -#include <botan/internal/ct_utils.h> -#include <botan/internal/monty_exp.h> -#include <botan/internal/primality.h> -#include <algorithm> - -namespace Botan { - -/* -* 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[2] = { a, b }; - X[0].set_sign(BigInt::Positive); - X[1].set_sign(BigInt::Positive); - - const size_t shift = std::min(low_zero_bits(X[0]), low_zero_bits(X[1])); - - X[0] >>= shift; - X[1] >>= shift; - - while(X[0].is_nonzero()) - { - X[0] >>= low_zero_bits(X[0]); - X[1] >>= low_zero_bits(X[1]); - - const uint8_t sel = static_cast<uint8_t>(X[0] >= X[1]); - - X[sel^1] -= X[sel]; - X[sel^1] >>= 1; - } - - return (X[1] << shift); - } - -/* -* Calculate the LCM -*/ -BigInt lcm(const BigInt& a, const BigInt& b) - { - return ((a * b) / gcd(a, b)); - } - -/* -Sets result to a^-1 * 2^k mod a -with n <= k <= 2n -Returns k - -"The Montgomery Modular Inverse - Revisited" Çetin Koç, E. Savas -https://citeseerx.ist.psu.edu/viewdoc/citations?doi=10.1.1.75.8377 - -A const time implementation of this algorithm is described in -"Constant Time Modular Inversion" Joppe W. Bos -http://www.joppebos.com/files/CTInversion.pdf -*/ -size_t almost_montgomery_inverse(BigInt& result, - const BigInt& a, - const BigInt& p) - { - size_t k = 0; - - BigInt u = p, v = a, r = 0, s = 1; - - while(v > 0) - { - if(u.is_even()) - { - u >>= 1; - s <<= 1; - } - else if(v.is_even()) - { - v >>= 1; - r <<= 1; - } - else if(u > v) - { - u -= v; - u >>= 1; - r += s; - s <<= 1; - } - else - { - v -= u; - v >>= 1; - s += r; - r <<= 1; - } - - ++k; - } - - if(r >= p) - { - r -= p; - } - - result = p - r; - - return k; - } - -BigInt normalized_montgomery_inverse(const BigInt& a, const BigInt& p) - { - BigInt r; - size_t k = almost_montgomery_inverse(r, a, p); - - for(size_t i = 0; i != k; ++i) - { - if(r.is_odd()) - r += p; - r >>= 1; - } - - return r; - } - -BigInt ct_inverse_mod_odd_modulus(const BigInt& n, const BigInt& mod) - { - if(n.is_negative() || mod.is_negative()) - throw Invalid_Argument("ct_inverse_mod_odd_modulus: arguments must be non-negative"); - if(mod < 3 || mod.is_even()) - throw Invalid_Argument("Bad modulus to ct_inverse_mod_odd_modulus"); - if(n >= mod) - throw Invalid_Argument("ct_inverse_mod_odd_modulus n >= mod not supported"); - - /* - This uses a modular inversion algorithm designed by Niels Möller - and implemented in Nettle. The same algorithm was later also - adapted to GMP in mpn_sec_invert. - - It can be easily implemented in a way that does not depend on - secret branches or memory lookups, providing resistance against - some forms of side channel attack. - - There is also a description of the algorithm in Appendix 5 of "Fast - Software Polynomial Multiplication on ARM Processors using the NEON Engine" - by Danilo Câmara, Conrado P. L. Gouvêa, Julio López, and Ricardo - Dahab in LNCS 8182 - https://conradoplg.cryptoland.net/files/2010/12/mocrysen13.pdf - - Thanks to Niels for creating the algorithm, explaining some things - about it, and the reference to the paper. - */ - - // todo allow this to be pre-calculated and passed in as arg - BigInt mp1o2 = (mod + 1) >> 1; - - const size_t mod_words = mod.sig_words(); - BOTAN_ASSERT(mod_words > 0, "Not empty"); - - BigInt a = n; - BigInt b = mod; - BigInt u = 1, v = 0; - - a.grow_to(mod_words); - u.grow_to(mod_words); - v.grow_to(mod_words); - mp1o2.grow_to(mod_words); - - secure_vector<word>& a_w = a.get_word_vector(); - secure_vector<word>& b_w = b.get_word_vector(); - secure_vector<word>& u_w = u.get_word_vector(); - secure_vector<word>& v_w = v.get_word_vector(); - - CT::poison(a_w.data(), a_w.size()); - CT::poison(b_w.data(), b_w.size()); - CT::poison(u_w.data(), u_w.size()); - CT::poison(v_w.data(), v_w.size()); - - // Only n.bits() + mod.bits() iterations are required, but avoid leaking the size of n - size_t bits = 2 * mod.bits(); - - while(bits--) - { - /* - const word odd = a.is_odd(); - a -= odd * b; - const word underflow = a.is_negative(); - b += a * underflow; - a.set_sign(BigInt::Positive); - - a >>= 1; - - if(underflow) - { - std::swap(u, v); - } - - u -= odd * v; - u += u.is_negative() * mod; - - const word odd_u = u.is_odd(); - - u >>= 1; - u += mp1o2 * odd_u; - */ - - const word odd_a = a_w[0] & 1; - - //if(odd_a) a -= b - word underflow = bigint_cnd_sub(odd_a, a_w.data(), b_w.data(), mod_words); - - //if(underflow) { b -= a; a = abs(a); swap(u, v); } - bigint_cnd_add(underflow, b_w.data(), a_w.data(), mod_words); - bigint_cnd_abs(underflow, a_w.data(), mod_words); - bigint_cnd_swap(underflow, u_w.data(), v_w.data(), mod_words); - - // a >>= 1 - bigint_shr1(a_w.data(), mod_words, 0, 1); - - //if(odd_a) u -= v; - word borrow = bigint_cnd_sub(odd_a, u_w.data(), v_w.data(), mod_words); - - // if(borrow) u += p - bigint_cnd_add(borrow, u_w.data(), mod.data(), mod_words); - - const word odd_u = u_w[0] & 1; - - // u >>= 1 - bigint_shr1(u_w.data(), mod_words, 0, 1); - - //if(odd_u) u += mp1o2; - bigint_cnd_add(odd_u, u_w.data(), mp1o2.data(), mod_words); - } - - CT::unpoison(a_w.data(), a_w.size()); - CT::unpoison(b_w.data(), b_w.size()); - CT::unpoison(u_w.data(), u_w.size()); - CT::unpoison(v_w.data(), v_w.size()); - - BOTAN_ASSERT(a.is_zero(), "A is zero"); - - if(b != 1) - return 0; - - return v; - } - -/* -* 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() && n < mod) - return ct_inverse_mod_odd_modulus(n, mod); - - return inverse_euclid(n, mod); - } - -BigInt inverse_euclid(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 - - 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) - { - if(input == 0) - throw Exception("monty_inverse: divide by zero"); - - 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; - } - - const word check = y2 * input; - BOTAN_ASSERT_EQUAL(check, 1, "monty_inverse result is inverse of input"); - - // 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) - { - if(mod.is_negative() || mod == 1) - { - return 0; - } - - if(base.is_zero() || mod.is_zero()) - { - if(exp.is_zero()) - return 1; - return 0; - } - - 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. - */ - - if(base.is_negative()) - { - pow_mod.set_base(-base); - pow_mod.set_exponent(exp); - if(exp.is_even()) - return pow_mod.execute(); - else - return (mod - pow_mod.execute()); - } - else - { - pow_mod.set_base(base); - pow_mod.set_exponent(exp); - return pow_mod.execute(); - } - } - - -BigInt is_perfect_square(const BigInt& C) - { - if(C < 1) - throw Invalid_Argument("is_perfect_square requires C >= 1"); - if(C == 1) - return 1; - - const size_t n = C.bits(); - const size_t m = (n + 1) / 2; - const BigInt B = C + BigInt::power_of_2(m); - - BigInt X = BigInt::power_of_2(m) - 1; - BigInt X2 = (X*X); - - for(;;) - { - X = (X2 + C) / (2*X); - X2 = (X*X); - - if(X2 < B) - break; - } - - if(X2 == C) - return X; - else - return 0; - } - -/* -* Test for primality using Miller-Rabin -*/ -bool is_prime(const BigInt& n, - RandomNumberGenerator& rng, - size_t prob, - bool is_random) - { - 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 uint16_t num = static_cast<uint16_t>(n.word_at(0)); - - return std::binary_search(PRIMES, PRIMES + PRIME_TABLE_SIZE, num); - } - - const size_t t = miller_rabin_test_iterations(n.bits(), prob, is_random); - - Modular_Reducer mod_n(n); - - if(rng.is_seeded()) - { - if(is_miller_rabin_probable_prime(n, mod_n, rng, t) == false) - return false; - - return is_lucas_probable_prime(n, mod_n); - } - else - { - return is_bailie_psw_probable_prime(n, mod_n); - } - } - -} diff --git a/src/libs/3rdparty/botan/src/lib/math/numbertheory/numthry.h b/src/libs/3rdparty/botan/src/lib/math/numbertheory/numthry.h deleted file mode 100644 index 7a978cd3f94..00000000000 --- a/src/libs/3rdparty/botan/src/lib/math/numbertheory/numthry.h +++ /dev/null @@ -1,285 +0,0 @@ -/* -* Number Theory Functions -* (C) 1999-2007,2018 Jack Lloyd -* -* Botan is released under the Simplified BSD License (see license.txt) -*/ - -#ifndef BOTAN_NUMBER_THEORY_H_ -#define BOTAN_NUMBER_THEORY_H_ - -#include <botan/bigint.h> - -namespace Botan { - -class RandomNumberGenerator; - -/** -* Fused multiply-add -* @param a an integer -* @param b an integer -* @param c an integer -* @return (a*b)+c -*/ -BigInt BOTAN_PUBLIC_API(2,0) 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_PUBLIC_API(2,0) sub_mul(const BigInt& a, - const BigInt& b, - const BigInt& c); - -/** -* Fused multiply-subtract -* @param a an integer -* @param b an integer -* @param c an integer -* @return (a*b)-c -*/ -BigInt BOTAN_PUBLIC_API(2,0) mul_sub(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_PUBLIC_API(2,0) 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_PUBLIC_API(2,0) lcm(const BigInt& x, const BigInt& y); - -/** -* @param x an integer -* @return (x*x) -*/ -BigInt BOTAN_PUBLIC_API(2,0) square(const BigInt& x); - -/** -* Modular inversion -* @param x a positive integer -* @param modulus a positive integer -* @return y st (x*y) % modulus == 1 or 0 if no such value -* Not const time -*/ -BigInt BOTAN_PUBLIC_API(2,0) inverse_mod(const BigInt& x, - const BigInt& modulus); - -/** -* Modular inversion using extended binary Euclidian algorithm -* @param x a positive integer -* @param modulus a positive integer -* @return y st (x*y) % modulus == 1 or 0 if no such value -* Not const time -*/ -BigInt BOTAN_PUBLIC_API(2,5) inverse_euclid(const BigInt& x, - const BigInt& modulus); - -/** -* Const time modular inversion -* Requires the modulus be odd -*/ -BigInt BOTAN_PUBLIC_API(2,0) ct_inverse_mod_odd_modulus(const BigInt& n, const BigInt& mod); - -/** -* Return a^-1 * 2^k mod b -* Returns k, between n and 2n -* Not const time -*/ -size_t BOTAN_PUBLIC_API(2,0) almost_montgomery_inverse(BigInt& result, - const BigInt& a, - const BigInt& b); - -/** -* Call almost_montgomery_inverse and correct the result to a^-1 mod b -*/ -BigInt BOTAN_PUBLIC_API(2,0) normalized_montgomery_inverse(const BigInt& a, const BigInt& b); - - -/** -* 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) -*/ -int32_t BOTAN_PUBLIC_API(2,0) 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_PUBLIC_API(2,0) 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_PUBLIC_API(2,0) 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_PUBLIC_API(2,0) 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_PUBLIC_API(2,0) low_zero_bits(const BigInt& x); - -/** -* Check for primality -* @param n a positive integer to test for primality -* @param rng a random number generator -* @param prob chance of false positive is bounded by 1/2**prob -* @param is_random true if n was randomly chosen by us -* @return true if all primality tests passed, otherwise false -*/ -bool BOTAN_PUBLIC_API(2,0) is_prime(const BigInt& n, - RandomNumberGenerator& rng, - size_t prob = 64, - bool is_random = false); - -/** -* Test if the positive integer x is a perfect square ie if there -* exists some positive integer y st y*y == x -* See FIPS 186-4 sec C.4 -* @return 0 if the integer is not a perfect square, otherwise -* returns the positive y st y*y == x -*/ -BigInt BOTAN_PUBLIC_API(2,8) is_perfect_square(const BigInt& x); - -inline bool quick_check_prime(const BigInt& n, RandomNumberGenerator& rng) - { return is_prime(n, rng, 32); } - -inline bool check_prime(const BigInt& n, RandomNumberGenerator& rng) - { return is_prime(n, rng, 56); } - -inline bool verify_prime(const BigInt& n, RandomNumberGenerator& rng) - { return is_prime(n, rng, 80); } - -/** -* Randomly generate a prime suitable for discrete logarithm parameters -* @param rng a random number generator -* @param bits how large the resulting prime should be in bits -* @param coprime a positive integer that (prime - 1) 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 -* @param prob use test so false positive is bounded by 1/2**prob -* @return random prime with the specified criteria -*/ -BigInt BOTAN_PUBLIC_API(2,0) random_prime(RandomNumberGenerator& rng, - size_t bits, - const BigInt& coprime = 0, - size_t equiv = 1, - size_t equiv_mod = 2, - size_t prob = 128); - -/** -* Generate a prime suitable for RSA p/q -* @param keygen_rng a random number generator -* @param prime_test_rng a random number generator -* @param bits how large the resulting prime should be in bits (must be >= 512) -* @param coprime a positive integer that (prime - 1) should be coprime to -* @param prob use test so false positive is bounded by 1/2**prob -* @return random prime with the specified criteria -*/ -BigInt BOTAN_PUBLIC_API(2,7) generate_rsa_prime(RandomNumberGenerator& keygen_rng, - RandomNumberGenerator& prime_test_rng, - size_t bits, - const BigInt& coprime, - size_t prob = 128); - -/** -* 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_PUBLIC_API(2,0) random_safe_prime(RandomNumberGenerator& rng, - size_t bits); - -/** -* Generate DSA parameters using the FIPS 186 kosherizer -* @param rng a random number generator -* @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<uint8_t> BOTAN_PUBLIC_API(2,0) -generate_dsa_primes(RandomNumberGenerator& rng, - 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 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 -* @param offset optional offset from seed to start searching at -* @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_PUBLIC_API(2,0) -generate_dsa_primes(RandomNumberGenerator& rng, - BigInt& p_out, BigInt& q_out, - size_t pbits, size_t qbits, - const std::vector<uint8_t>& seed, - size_t offset = 0); - -/** -* The size of the PRIMES[] array -*/ -const size_t PRIME_TABLE_SIZE = 6541; - -/** -* A const array of all primes less than 65535 -*/ -extern const uint16_t BOTAN_PUBLIC_API(2,0) PRIMES[]; - -} - -#endif diff --git a/src/libs/3rdparty/botan/src/lib/math/numbertheory/pow_mod.cpp b/src/libs/3rdparty/botan/src/lib/math/numbertheory/pow_mod.cpp deleted file mode 100644 index 00917a5f912..00000000000 --- a/src/libs/3rdparty/botan/src/lib/math/numbertheory/pow_mod.cpp +++ /dev/null @@ -1,196 +0,0 @@ -/* -* Modular Exponentiation Proxy -* (C) 1999-2007 Jack Lloyd -* -* Botan is released under the Simplified BSD License (see license.txt) -*/ - -#include <botan/pow_mod.h> -#include <botan/internal/def_powm.h> - -namespace Botan { - -/* -* Power_Mod Constructor -*/ -Power_Mod::Power_Mod(const BigInt& n, Usage_Hints hints, bool disable_monty) - { - set_modulus(n, hints, disable_monty); - } - -/* -* Power_Mod Copy Constructor -*/ -Power_Mod::Power_Mod(const Power_Mod& other) - { - if(other.m_core.get()) - m_core.reset(other.m_core->copy()); - } - -/* -* Power_Mod Assignment Operator -*/ -Power_Mod& Power_Mod::operator=(const Power_Mod& other) - { - if(this != &other) - { - if(other.m_core) - m_core.reset(other.m_core->copy()); - else - m_core.reset(); - } - return (*this); - } - -/* -* Set the modulus -*/ -void Power_Mod::set_modulus(const BigInt& n, Usage_Hints hints, bool disable_monty) const - { - // Allow set_modulus(0) to mean "drop old state" - - m_core.reset(); - - if(n != 0) - { - if(n.is_odd() && disable_monty == false) - m_core.reset(new Montgomery_Exponentiator(n, hints)); - else - m_core.reset(new Fixed_Window_Exponentiator(n, hints)); - } - } - -/* -* 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(!m_core) - throw Internal_Error("Power_Mod::set_base: m_core was NULL"); - m_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(!m_core) - throw Internal_Error("Power_Mod::set_exponent: m_core was NULL"); - m_core->set_exponent(e); - } - -/* -* Compute the result -*/ -BigInt Power_Mod::execute() const - { - if(!m_core) - throw Internal_Error("Power_Mod::execute: m_core was NULL"); - return m_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 }, - { 17, 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/libs/3rdparty/botan/src/lib/math/numbertheory/pow_mod.h b/src/libs/3rdparty/botan/src/lib/math/numbertheory/pow_mod.h deleted file mode 100644 index 077f4ccf724..00000000000 --- a/src/libs/3rdparty/botan/src/lib/math/numbertheory/pow_mod.h +++ /dev/null @@ -1,135 +0,0 @@ -/* -* Modular Exponentiator -* (C) 1999-2007 Jack Lloyd -* -* Botan is released under the Simplified BSD License (see license.txt) -*/ - -#ifndef BOTAN_POWER_MOD_H_ -#define BOTAN_POWER_MOD_H_ - -#include <botan/bigint.h> - -namespace Botan { - -/** -* Modular Exponentiator Interface -*/ -class BOTAN_PUBLIC_API(2,0) 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; - - Modular_Exponentiator() = default; - Modular_Exponentiator(const Modular_Exponentiator&) = default; - Modular_Exponentiator & operator=(const Modular_Exponentiator&) = default; - virtual ~Modular_Exponentiator() = default; - }; - -/** -* Modular Exponentiator Proxy -*/ -class BOTAN_PUBLIC_API(2,0) 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); - - /** - * @param modulus the modulus - * @param hints Passed to set_modulus if modulus > 0 - * @param disable_montgomery_arith Disables use of Montgomery - * representation. Likely only useful for testing. - */ - void set_modulus(const BigInt& modulus, - Usage_Hints hints = NO_HINTS, - bool disable_montgomery_arith = false) const; - - /** - * Set the base - */ - void set_base(const BigInt& base) const; - - /** - * Set the exponent - */ - void set_exponent(const BigInt& exponent) const; - - /** - * All three of the above functions must have already been called. - * @return result of g^x%p - */ - BigInt execute() const; - - Power_Mod& operator=(const Power_Mod&); - - /** - * @param modulus Optionally call set_modulus - * @param hints Passed to set_modulus if modulus > 0 - * @param disable_montgomery_arith Disables use of Montgomery - * representation. Likely only useful for testing. - */ - Power_Mod(const BigInt& modulus = 0, - Usage_Hints hints = NO_HINTS, - bool disable_montgomery_arith = false); - Power_Mod(const Power_Mod&); - virtual ~Power_Mod() = default; - private: - mutable std::unique_ptr<Modular_Exponentiator> m_core; - }; - -/** -* Fixed Exponent Modular Exponentiator Proxy -*/ -class BOTAN_PUBLIC_API(2,0) Fixed_Exponent_Power_Mod final : public Power_Mod - { - public: - BigInt operator()(const BigInt& b) const - { set_base(b); return execute(); } - - Fixed_Exponent_Power_Mod() = default; - - Fixed_Exponent_Power_Mod(const BigInt& exponent, - const BigInt& modulus, - Usage_Hints hints = NO_HINTS); - }; - -/** -* Fixed Base Modular Exponentiator Proxy -*/ -class BOTAN_PUBLIC_API(2,0) Fixed_Base_Power_Mod final : public Power_Mod - { - public: - BigInt operator()(const BigInt& e) const - { set_exponent(e); return execute(); } - - Fixed_Base_Power_Mod() = default; - - Fixed_Base_Power_Mod(const BigInt& base, - const BigInt& modulus, - Usage_Hints hints = NO_HINTS); - }; - -} - -#endif diff --git a/src/libs/3rdparty/botan/src/lib/math/numbertheory/powm_fw.cpp b/src/libs/3rdparty/botan/src/lib/math/numbertheory/powm_fw.cpp deleted file mode 100644 index c326ffa4410..00000000000 --- a/src/libs/3rdparty/botan/src/lib/math/numbertheory/powm_fw.cpp +++ /dev/null @@ -1,65 +0,0 @@ -/* -* Fixed Window Exponentiation -* (C) 1999-2007 Jack Lloyd -* -* Botan is released under the Simplified BSD License (see license.txt) -*/ - -#include <botan/internal/def_powm.h> -#include <vector> - -namespace Botan { - -/* -* Set the exponent -*/ -void Fixed_Window_Exponentiator::set_exponent(const BigInt& e) - { - m_exp = e; - } - -/* -* Set the base -*/ -void Fixed_Window_Exponentiator::set_base(const BigInt& base) - { - m_window_bits = Power_Mod::window_bits(m_exp.bits(), base.bits(), m_hints); - - m_g.resize(static_cast<size_t>(1) << m_window_bits); - m_g[0] = 1; - m_g[1] = base; - - for(size_t i = 2; i != m_g.size(); ++i) - m_g[i] = m_reducer.multiply(m_g[i-1], m_g[1]); - } - -/* -* Compute the result -*/ -BigInt Fixed_Window_Exponentiator::execute() const - { - const size_t exp_nibbles = (m_exp.bits() + m_window_bits - 1) / m_window_bits; - - BigInt x = 1; - - for(size_t i = exp_nibbles; i > 0; --i) - { - for(size_t j = 0; j != m_window_bits; ++j) - x = m_reducer.square(x); - - const uint32_t nibble = m_exp.get_substring(m_window_bits*(i-1), m_window_bits); - - x = m_reducer.multiply(x, m_g[nibble]); - } - return x; - } - -/* -* Fixed_Window_Exponentiator Constructor -*/ -Fixed_Window_Exponentiator::Fixed_Window_Exponentiator(const BigInt& n, - Power_Mod::Usage_Hints hints) - : m_reducer{Modular_Reducer(n)}, m_exp{}, m_window_bits{}, m_g{}, m_hints{hints} - {} - -} diff --git a/src/libs/3rdparty/botan/src/lib/math/numbertheory/powm_mnt.cpp b/src/libs/3rdparty/botan/src/lib/math/numbertheory/powm_mnt.cpp deleted file mode 100644 index 8cb3f6a08ea..00000000000 --- a/src/libs/3rdparty/botan/src/lib/math/numbertheory/powm_mnt.cpp +++ /dev/null @@ -1,46 +0,0 @@ -/* -* Montgomery Exponentiation -* (C) 1999-2010,2012,2018 Jack Lloyd -* 2016 Matthias Gierlings -* -* Botan is released under the Simplified BSD License (see license.txt) -*/ - -#include <botan/internal/def_powm.h> -#include <botan/numthry.h> -#include <botan/monty.h> -#include <botan/internal/monty_exp.h> -#include <botan/internal/rounding.h> - -namespace Botan { - -void Montgomery_Exponentiator::set_exponent(const BigInt& exp) - { - m_e = exp; - } - -void Montgomery_Exponentiator::set_base(const BigInt& base) - { - size_t window_bits = Power_Mod::window_bits(m_e.bits(), base.bits(), m_hints); - m_monty = monty_precompute(m_monty_params, base, window_bits); - } - -BigInt Montgomery_Exponentiator::execute() const - { - /* - This leaks size of e via loop iterations, not possible to fix without - breaking this API. Round up to avoid leaking fine details. - */ - return monty_execute(*m_monty, m_e, round_up(m_e.bits(), 8)); - } - -Montgomery_Exponentiator::Montgomery_Exponentiator(const BigInt& mod, - Power_Mod::Usage_Hints hints) : - m_p(mod), - m_mod_p(mod), - m_monty_params(std::make_shared<Montgomery_Params>(m_p, m_mod_p)), - m_hints(hints) - { - } - -} diff --git a/src/libs/3rdparty/botan/src/lib/math/numbertheory/primality.cpp b/src/libs/3rdparty/botan/src/lib/math/numbertheory/primality.cpp deleted file mode 100644 index 5e683c1ff0c..00000000000 --- a/src/libs/3rdparty/botan/src/lib/math/numbertheory/primality.cpp +++ /dev/null @@ -1,206 +0,0 @@ -/* -* (C) 2016,2018 Jack Lloyd -* -* Botan is released under the Simplified BSD License (see license.txt) -*/ - -#include <botan/internal/primality.h> -#include <botan/internal/monty_exp.h> -#include <botan/bigint.h> -#include <botan/monty.h> -#include <botan/reducer.h> -#include <botan/rng.h> -#include <algorithm> - -namespace Botan { - -bool is_lucas_probable_prime(const BigInt& C, const Modular_Reducer& mod_C) - { - if(C <= 1) - return false; - else if(C == 2) - return true; - else if(C.is_even()) - return false; - else if(C == 3 || C == 5 || C == 7 || C == 11 || C == 13) - return true; - - BigInt D = 5; - - for(;;) - { - int32_t j = jacobi(D, C); - if(j == 0) - return false; - - if(j == -1) - break; - - // Check 5, -7, 9, -11, 13, -15, 17, ... - if(D.is_negative()) - { - D.flip_sign(); - D += 2; - } - else - { - D += 2; - D.flip_sign(); - } - - if(D == 17 && is_perfect_square(C).is_nonzero()) - return false; - } - - const BigInt K = C + 1; - const size_t K_bits = K.bits() - 1; - - BigInt U = 1; - BigInt V = 1; - - BigInt Ut, Vt, U2, V2; - - for(size_t i = 0; i != K_bits; ++i) - { - const uint8_t k_bit = K.get_bit(K_bits - 1 - i); - - Ut = mod_C.multiply(U, V); - - Vt = mod_C.reduce(mod_C.square(V) + mod_C.multiply(D, mod_C.square(U))); - if(Vt.is_odd()) - Vt += C; - Vt >>= 1; - Vt = mod_C.reduce(Vt); - - U = Ut; - V = Vt; - - U2 = mod_C.reduce(Ut + Vt); - if(U2.is_odd()) - U2 += C; - U2 >>= 1; - - V2 = mod_C.reduce(Vt + Ut*D); - if(V2.is_odd()) - V2 += C; - V2 >>= 1; - - U.ct_cond_assign(k_bit, U2); - V.ct_cond_assign(k_bit, V2); - } - - return (U == 0); - } - -bool is_bailie_psw_probable_prime(const BigInt& n, const Modular_Reducer& mod_n) - { - auto monty_n = std::make_shared<Montgomery_Params>(n, mod_n); - return passes_miller_rabin_test(n, mod_n, monty_n, 2) && is_lucas_probable_prime(n, mod_n); - } - -bool is_bailie_psw_probable_prime(const BigInt& n) - { - Modular_Reducer mod_n(n); - return is_bailie_psw_probable_prime(n, mod_n); - } - -bool passes_miller_rabin_test(const BigInt& n, - const Modular_Reducer& mod_n, - const std::shared_ptr<Montgomery_Params>& monty_n, - const BigInt& a) - { - BOTAN_ASSERT_NOMSG(n > 1); - - const BigInt n_minus_1 = n - 1; - const size_t s = low_zero_bits(n_minus_1); - const BigInt nm1_s = n_minus_1 >> s; - const size_t n_bits = n.bits(); - - const size_t powm_window = 4; - - auto powm_a_n = monty_precompute(monty_n, a, powm_window); - - BigInt y = monty_execute(*powm_a_n, nm1_s, n_bits); - - if(y == 1 || y == n_minus_1) - return true; - - for(size_t i = 1; i != s; ++i) - { - y = mod_n.square(y); - - if(y == 1) // found a non-trivial square root - return false; - - /* - -1 is the trivial square root of unity, so ``a`` is not a - witness for this number - give up - */ - if(y == n_minus_1) - return true; - } - - return false; - } - -bool is_miller_rabin_probable_prime(const BigInt& n, - const Modular_Reducer& mod_n, - RandomNumberGenerator& rng, - size_t test_iterations) - { - BOTAN_ASSERT_NOMSG(n > 1); - - auto monty_n = std::make_shared<Montgomery_Params>(n, mod_n); - - for(size_t i = 0; i != test_iterations; ++i) - { - const BigInt a = BigInt::random_integer(rng, 2, n); - - if(!passes_miller_rabin_test(n, mod_n, monty_n, a)) - return false; - } - - // Failed to find a counterexample - return true; - } - - -size_t miller_rabin_test_iterations(size_t n_bits, size_t prob, bool random) - { - const size_t base = (prob + 2) / 2; // worst case 4^-t error rate - - /* - * If the candidate prime was maliciously constructed, we can't rely - * on arguments based on p being random. - */ - if(random == false) - return base; - - /* - * For randomly chosen numbers we can use the estimates from - * http://www.math.dartmouth.edu/~carlp/PDF/paper88.pdf - * - * These values are derived from the inequality for p(k,t) given on - * the second page. - */ - if(prob <= 128) - { - if(n_bits >= 1536) - return 4; // < 2^-133 - if(n_bits >= 1024) - return 6; // < 2^-133 - if(n_bits >= 512) - return 12; // < 2^-129 - if(n_bits >= 256) - return 29; // < 2^-128 - } - - /* - If the user desires a smaller error probability than we have - precomputed error estimates for, just fall back to using the worst - case error rate. - */ - return base; - } - -} diff --git a/src/libs/3rdparty/botan/src/lib/math/numbertheory/primality.h b/src/libs/3rdparty/botan/src/lib/math/numbertheory/primality.h deleted file mode 100644 index db7a76a74d0..00000000000 --- a/src/libs/3rdparty/botan/src/lib/math/numbertheory/primality.h +++ /dev/null @@ -1,100 +0,0 @@ -/* -* (C) 2018 Jack Lloyd -* -* Botan is released under the Simplified BSD License (see license.txt) -*/ - -#ifndef BOTAN_PRIMALITY_TEST_H_ -#define BOTAN_PRIMALITY_TEST_H_ - -#include <botan/types.h> -#include <memory> - -namespace Botan { - -class BigInt; -class Modular_Reducer; -class Montgomery_Params; -class RandomNumberGenerator; - -/** -* Perform Lucas primality test -* @see FIPS 186-4 C.3.3 -* -* @warning it is possible to construct composite integers which pass -* this test alone. -* -* @param n the positive integer to test -* @param mod_n a pre-created Modular_Reducer for n -* @return true if n seems probably prime, false if n is composite -*/ -bool BOTAN_TEST_API is_lucas_probable_prime(const BigInt& n, const Modular_Reducer& mod_n); - -/** -* Perform Bailie-PSW primality test -* -* This is a combination of Miller-Rabin with base 2 and a Lucas test. No known -* composite integer passes both tests, though it is conjectured that infinitely -* many composite counterexamples exist. -* -* @param n the positive integer to test -* @param mod_n a pre-created Modular_Reducer for n -* @return true if n seems probably prime, false if n is composite -*/ -bool BOTAN_TEST_API is_bailie_psw_probable_prime(const BigInt& n, const Modular_Reducer& mod_n); - -/** -* Perform Bailie-PSW primality test -* -* This is a combination of Miller-Rabin with base 2 and a Lucas test. No known -* composite integer passes both tests, though it is conjectured that infinitely -* many composite counterexamples exist. -* -* @param n the positive integer to test -* @return true if n seems probably prime, false if n is composite -*/ -bool is_bailie_psw_probable_prime(const BigInt& n); - -/** -* Return required number of Miller-Rabin tests in order to -* reach the specified probability of error. -* -* @param n_bits the bit-length of the integer being tested -* @param prob chance of false positive is bounded by 1/2**prob -* @param random is set if (and only if) the integer was randomly generated by us -* and thus cannot have been maliciously constructed. -*/ -size_t miller_rabin_test_iterations(size_t n_bits, size_t prob, bool random); - -/** -* Perform a single Miller-Rabin test with specified base -* -* @param n the positive integer to test -* @param mod_n a pre-created Modular_Reducer for n -* @param monty_n Montgomery parameters for n -* @param a the base to check -* @return result of primality test -*/ -bool passes_miller_rabin_test(const BigInt& n, - const Modular_Reducer& mod_n, - const std::shared_ptr<Montgomery_Params>& monty_n, - const BigInt& a); - -/** -* Perform t iterations of a Miller-Rabin primality test with random bases -* -* @param n the positive integer to test -* @param mod_n a pre-created Modular_Reducer for n -* @param rng a random number generator -* @param t number of tests to perform -* -* @return result of primality test -*/ -bool BOTAN_TEST_API is_miller_rabin_probable_prime(const BigInt& n, - const Modular_Reducer& mod_n, - RandomNumberGenerator& rng, - size_t t); - -} - -#endif diff --git a/src/libs/3rdparty/botan/src/lib/math/numbertheory/primes.cpp b/src/libs/3rdparty/botan/src/lib/math/numbertheory/primes.cpp deleted file mode 100644 index 4a3eb46f2c8..00000000000 --- a/src/libs/3rdparty/botan/src/lib/math/numbertheory/primes.cpp +++ /dev/null @@ -1,609 +0,0 @@ -/* -* Small Primes Table -* (C) 1999-2007 Jack Lloyd -* -* Botan is released under the Simplified BSD License (see license.txt) -*/ - -#include <botan/numthry.h> - -namespace Botan { - -const uint16_t 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, - 3203, 3209, 3217, 3221, 3229, 3251, 3253, 3257, 3259, 3271, 3299, - 3301, 3307, 3313, 3319, 3323, 3329, 3331, 3343, 3347, 3359, 3361, - 3371, 3373, 3389, 3391, 3407, 3413, 3433, 3449, 3457, 3461, 3463, - 3467, 3469, 3491, 3499, 3511, 3517, 3527, 3529, 3533, 3539, 3541, - 3547, 3557, 3559, 3571, 3581, 3583, 3593, 3607, 3613, 3617, 3623, - 3631, 3637, 3643, 3659, 3671, 3673, 3677, 3691, 3697, 3701, 3709, - 3719, 3727, 3733, 3739, 3761, 3767, 3769, 3779, 3793, 3797, 3803, - 3821, 3823, 3833, 3847, 3851, 3853, 3863, 3877, 3881, 3889, 3907, - 3911, 3917, 3919, 3923, 3929, 3931, 3943, 3947, 3967, 3989, 4001, - 4003, 4007, 4013, 4019, 4021, 4027, 4049, 4051, 4057, 4073, 4079, - 4091, 4093, 4099, 4111, 4127, 4129, 4133, 4139, 4153, 4157, 4159, - 4177, 4201, 4211, 4217, 4219, 4229, 4231, 4241, 4243, 4253, 4259, - 4261, 4271, 4273, 4283, 4289, 4297, 4327, 4337, 4339, 4349, 4357, - 4363, 4373, 4391, 4397, 4409, 4421, 4423, 4441, 4447, 4451, 4457, - 4463, 4481, 4483, 4493, 4507, 4513, 4517, 4519, 4523, 4547, 4549, - 4561, 4567, 4583, 4591, 4597, 4603, 4621, 4637, 4639, 4643, 4649, - 4651, 4657, 4663, 4673, 4679, 4691, 4703, 4721, 4723, 4729, 4733, - 4751, 4759, 4783, 4787, 4789, 4793, 4799, 4801, 4813, 4817, 4831, - 4861, 4871, 4877, 4889, 4903, 4909, 4919, 4931, 4933, 4937, 4943, - 4951, 4957, 4967, 4969, 4973, 4987, 4993, 4999, 5003, 5009, 5011, - 5021, 5023, 5039, 5051, 5059, 5077, 5081, 5087, 5099, 5101, 5107, - 5113, 5119, 5147, 5153, 5167, 5171, 5179, 5189, 5197, 5209, 5227, - 5231, 5233, 5237, 5261, 5273, 5279, 5281, 5297, 5303, 5309, 5323, - 5333, 5347, 5351, 5381, 5387, 5393, 5399, 5407, 5413, 5417, 5419, - 5431, 5437, 5441, 5443, 5449, 5471, 5477, 5479, 5483, 5501, 5503, - 5507, 5519, 5521, 5527, 5531, 5557, 5563, 5569, 5573, 5581, 5591, - 5623, 5639, 5641, 5647, 5651, 5653, 5657, 5659, 5669, 5683, 5689, - 5693, 5701, 5711, 5717, 5737, 5741, 5743, 5749, 5779, 5783, 5791, - 5801, 5807, 5813, 5821, 5827, 5839, 5843, 5849, 5851, 5857, 5861, - 5867, 5869, 5879, 5881, 5897, 5903, 5923, 5927, 5939, 5953, 5981, - 5987, 6007, 6011, 6029, 6037, 6043, 6047, 6053, 6067, 6073, 6079, - 6089, 6091, 6101, 6113, 6121, 6131, 6133, 6143, 6151, 6163, 6173, - 6197, 6199, 6203, 6211, 6217, 6221, 6229, 6247, 6257, 6263, 6269, - 6271, 6277, 6287, 6299, 6301, 6311, 6317, 6323, 6329, 6337, 6343, - 6353, 6359, 6361, 6367, 6373, 6379, 6389, 6397, 6421, 6427, 6449, - 6451, 6469, 6473, 6481, 6491, 6521, 6529, 6547, 6551, 6553, 6563, - 6569, 6571, 6577, 6581, 6599, 6607, 6619, 6637, 6653, 6659, 6661, - 6673, 6679, 6689, 6691, 6701, 6703, 6709, 6719, 6733, 6737, 6761, - 6763, 6779, 6781, 6791, 6793, 6803, 6823, 6827, 6829, 6833, 6841, - 6857, 6863, 6869, 6871, 6883, 6899, 6907, 6911, 6917, 6947, 6949, - 6959, 6961, 6967, 6971, 6977, 6983, 6991, 6997, 7001, 7013, 7019, - 7027, 7039, 7043, 7057, 7069, 7079, 7103, 7109, 7121, 7127, 7129, - 7151, 7159, 7177, 7187, 7193, 7207, 7211, 7213, 7219, 7229, 7237, - 7243, 7247, 7253, 7283, 7297, 7307, 7309, 7321, 7331, 7333, 7349, - 7351, 7369, 7393, 7411, 7417, 7433, 7451, 7457, 7459, 7477, 7481, - 7487, 7489, 7499, 7507, 7517, 7523, 7529, 7537, 7541, 7547, 7549, - 7559, 7561, 7573, 7577, 7583, 7589, 7591, 7603, 7607, 7621, 7639, - 7643, 7649, 7669, 7673, 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uninitialized if mod == 0 - m_mod_words = 0; - - if(mod > 0) - { - m_modulus = mod; - m_mod_words = m_modulus.sig_words(); - - m_modulus_2 = Botan::square(m_modulus); - - m_mu = BigInt::power_of_2(2 * BOTAN_MP_WORD_BITS * m_mod_words) / m_modulus; - } - } - -BigInt Modular_Reducer::reduce(const BigInt& x) const - { - BigInt r; - secure_vector<word> ws; - reduce(r, x, ws); - return r; - } - -void Modular_Reducer::reduce(BigInt& t1, const BigInt& x, secure_vector<word>& ws) const - { - if(&t1 == &x) - throw Invalid_State("Modular_Reducer arguments cannot alias"); - if(m_mod_words == 0) - throw Invalid_State("Modular_Reducer: Never initalized"); - - const size_t x_sw = x.sig_words(); - - if(x_sw >= (2*m_mod_words - 1) && x.cmp(m_modulus_2, false) >= 0) - { - // too big, fall back to normal division - t1 = x % m_modulus; - return; - } - - t1 = x; - t1.set_sign(BigInt::Positive); - t1 >>= (BOTAN_MP_WORD_BITS * (m_mod_words - 1)); - - t1.mul(m_mu, ws); - t1 >>= (BOTAN_MP_WORD_BITS * (m_mod_words + 1)); - - // TODO add masked mul to avoid computing high bits - t1.mul(m_modulus, ws); - t1.mask_bits(BOTAN_MP_WORD_BITS * (m_mod_words + 1)); - - t1.rev_sub(x.data(), std::min(x_sw, m_mod_words + 1), ws); - - /* - * If t1 < 0 then we must add b^(k+1) where b = 2^w. To avoid a - * side channel perform the addition unconditionally, with ws set - * to either b^(k+1) or else 0. - */ - const word t1_neg = t1.is_negative(); - - if(ws.size() < m_mod_words + 2) - ws.resize(m_mod_words + 2); - clear_mem(ws.data(), ws.size()); - ws[m_mod_words + 1] = t1_neg; - - t1.add(ws.data(), m_mod_words + 2, BigInt::Positive); - - t1.reduce_below(m_modulus, ws); - - if(x.is_negative() && t1.is_nonzero()) - { - t1.rev_sub(m_modulus.data(), m_modulus.size(), ws); - } - } - -} diff --git a/src/libs/3rdparty/botan/src/lib/math/numbertheory/reducer.h b/src/libs/3rdparty/botan/src/lib/math/numbertheory/reducer.h deleted file mode 100644 index 5276adbbcb5..00000000000 --- a/src/libs/3rdparty/botan/src/lib/math/numbertheory/reducer.h +++ /dev/null @@ -1,63 +0,0 @@ -/* -* Modular Reducer -* (C) 1999-2010 Jack Lloyd -* -* Botan is released under the Simplified BSD License (see license.txt) -*/ - -#ifndef BOTAN_MODULAR_REDUCER_H_ -#define BOTAN_MODULAR_REDUCER_H_ - -#include <botan/numthry.h> - -namespace Botan { - -/** -* Modular Reducer (using Barrett's technique) -*/ -class BOTAN_PUBLIC_API(2,0) Modular_Reducer - { - public: - const BigInt& get_modulus() const { return m_modulus; } - - BigInt reduce(const BigInt& x) const; - - /** - * Multiply mod p - * @param x the first operand - * @param y the second operand - * @return (x * y) % p - */ - BigInt multiply(const BigInt& x, const BigInt& y) const - { return reduce(x * y); } - - /** - * Square mod p - * @param x the value to square - * @return (x * x) % p - */ - BigInt square(const BigInt& x) const - { return reduce(Botan::square(x)); } - - /** - * Cube mod p - * @param x the value to cube - * @return (x * x * x) % p - */ - BigInt cube(const BigInt& x) const - { return multiply(x, this->square(x)); } - - void reduce(BigInt& out, const BigInt& x, secure_vector<word>& ws) const; - - bool initialized() const { return (m_mod_words != 0); } - - Modular_Reducer() { m_mod_words = 0; } - explicit Modular_Reducer(const BigInt& mod); - private: - BigInt m_modulus, m_modulus_2, m_mu; - size_t m_mod_words; - }; - -} - -#endif diff --git a/src/libs/3rdparty/botan/src/lib/math/numbertheory/ressol.cpp b/src/libs/3rdparty/botan/src/lib/math/numbertheory/ressol.cpp deleted file mode 100644 index 9d11ebbc429..00000000000 --- a/src/libs/3rdparty/botan/src/lib/math/numbertheory/ressol.cpp +++ /dev/null @@ -1,87 +0,0 @@ -/* -* Shanks-Tonnelli (RESSOL) -* (C) 2007-2008 Falko Strenzke, FlexSecure GmbH -* (C) 2008 Jack Lloyd -* -* Botan is released under the Simplified BSD License (see license.txt) -*/ - -#include <botan/numthry.h> -#include <botan/reducer.h> - -namespace Botan { - -/* -* Shanks-Tonnelli algorithm -*/ -BigInt ressol(const BigInt& a, const BigInt& p) - { - if(a == 0) - return 0; - else if(a < 0) - throw Invalid_Argument("ressol: value to solve for must be positive"); - else if(a >= p) - throw Invalid_Argument("ressol: value to solve for must be less than p"); - - if(p == 2) - return a; - else if(p <= 1) - throw Invalid_Argument("ressol: prime must be > 1 a"); - else if(p.is_even()) - throw Invalid_Argument("ressol: invalid prime"); - - 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(i >= s) - { - 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; - } - -} |