// Copyright 2010 the V8 project authors. All rights reserved. // 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. #include "diy-fp.h" #include "utils.h" #include "pxr/pxr.h" PXR_NAMESPACE_OPEN_SCOPE namespace pxr_double_conversion { void DiyFp::Multiply(const DiyFp& other) { // Simply "emulates" a 128 bit multiplication. // However: the resulting number only contains 64 bits. The least // significant 64 bits are only used for rounding the most significant 64 // bits. const uint64_t kM32 = 0xFFFFFFFFU; uint64_t a = f_ >> 32; uint64_t b = f_ & kM32; uint64_t c = other.f_ >> 32; uint64_t d = other.f_ & kM32; uint64_t ac = a * c; uint64_t bc = b * c; uint64_t ad = a * d; uint64_t bd = b * d; uint64_t tmp = (bd >> 32) + (ad & kM32) + (bc & kM32); // By adding 1U << 31 to tmp we round the final result. // Halfway cases will be round up. tmp += 1U << 31; uint64_t result_f = ac + (ad >> 32) + (bc >> 32) + (tmp >> 32); e_ += other.e_ + 64; f_ = result_f; } } // namespace pxr_double_conversion PXR_NAMESPACE_CLOSE_SCOPE