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/* // references: // https://blog.cloudflare.com/go-crypto-bridging-the-performance-gap/ // https://github.com/vkrasnov/openssl/blob/vlad/inv_ord/crypto/ec/asm/ecp_nistz256-x86_64.pl // https://go-review.googlesource.com/#/c/8968/ // https://groups.google.com/forum/#!msg/golang-codereviews/m5QTnSUZU6c/Q5RUAdefWUwJ // https://github.com/openssl/openssl/pull/263/files // // Portions Copyright 2015 The Go Authors. All rights reserved. Use of this source code is governed by the following BSD-style license (from the go distributions LICENSE file): Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met: * Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer. * Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution. * Neither the name of Google Inc. nor the names of its contributors may be used to endorse or promote products derived from this software without specific prior written permission. THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ############################################################################## # # # Portions Copyright (c) 2015 Intel Corporation # # Portions Copyright (c) 2015 CloudFlare, Inc. # # All rights reserved. # # # # This software is made available to you under your choice of the # # Apache V.2.0 and/or BSD license below: # # # ############################################################################## # # # Licensed under the Apache License, Version 2.0 (the "License"); # # you may not use this file except in compliance with the License. # # You may obtain a copy of the License at # # # # http://www.apache.org/licenses/LICENSE-2.0 # # # # Unless required by applicable law or agreed to in writing, software # # distributed under the License is distributed on an "AS IS" BASIS, # # WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. # # See the License for the specific language governing permissions and # # limitations under the License. # # # ############################################################################## # # # Redistribution and use in source and binary forms, with or without # # modification, are permitted provided that the following conditions are # # met: # # # # # Redistributions of source code must retain the above copyright # # notice, this list of conditions and the following disclaimer. # # # # # Redistributions in binary form must reproduce the above copyright # # notice, this list of conditions and the following disclaimer in the # # documentation and/or other materials provided with the # # distribution. # # # # # Neither the name of the copyright holders nor the names of its # # contributors may be used to endorse or promote products derived from # # this software without specific prior written permission. # # # # THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS # # "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED # # TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR# # PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR # # CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, # # EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, # # PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR # # PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF # # LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING # # NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS # # SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. # # # ############################################################################## # # # Developers and authors: # # Shay Gueron (1, 2), and Vlad Krasnov (1, 3) # # (1) Intel Corporation, Israel Development Center # # (2) University of Haifa # # (3) CloudFlare, Inc. # # Reference: # # S.Gueron and V.Krasnov, "Fast Prime Field Elliptic Curve Cryptography with# # 256 Bit Primes" # # https://eprint.iacr.org/2013/816.pdf # ############################################################################## # Further optimization by <[email protected]>: # # this/original with/without -DECP_NISTZ256_ASM(*) # Opteron +12-49% +110-150% # Bulldozer +14-45% +175-210% # P4 +18-46% n/a :-( # Westmere +12-34% +80-87% # Sandy Bridge +9-35% +110-120% # Ivy Bridge +9-35% +110-125% # Haswell +8-37% +140-160% # Broadwell +18-58% +145-210% # Atom +15-50% +130-180% # VIA Nano +43-160% +300-480% # # (*) "without -DECP_NISTZ256_ASM" refers to build with # "enable-ec_nistp_64_gcc_128"; # # Ranges denote minimum and maximum improvement coefficients depending # on benchmark. Lower coefficients are for ECDSA sign, relatively fastest # server-side operation. Keep in mind that +100% means 2x improvement. */
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