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+/*
+ * Copyright (C) 2016 Apple Inc. All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. 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.
+ *
+ * THIS SOFTWARE IS PROVIDED BY APPLE INC. ``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 APPLE INC. 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.
+ *
+ * This contains code taken from LLVM's APInt class. That code implements finding the magic
+ * numbers for strength-reducing division. The LLVM code on which this code is based was
+ * implemented using "Hacker's Delight", Henry S. Warren, Jr., chapter 10.
+ *
+ * ==============================================================================
+ * LLVM Release License
+ * ==============================================================================
+ * University of Illinois/NCSA
+ * Open Source License
+ *
+ * Copyright (c) 2003-2014 University of Illinois at Urbana-Champaign.
+ * All rights reserved.
+ *
+ * Developed by:
+ *
+ * LLVM Team
+ *
+ * University of Illinois at Urbana-Champaign
+ *
+ * http://llvm.org
+ *
+ * Permission is hereby granted, free of charge, to any person obtaining a copy of
+ * this software and associated documentation files (the "Software"), to deal with
+ * the Software without restriction, including without limitation the rights to
+ * use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies
+ * of the Software, and to permit persons to whom the Software is furnished to do
+ * so, subject to the following conditions:
+ *
+ * * Redistributions of source code must retain the above copyright notice,
+ * this list of conditions and the following disclaimers.
+ *
+ * * Redistributions in binary form must reproduce the above copyright notice,
+ * this list of conditions and the following disclaimers in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * * Neither the names of the LLVM Team, University of Illinois at
+ * Urbana-Champaign, nor the names of its contributors may be used to
+ * endorse or promote products derived from this Software without specific
+ * prior written permission.
+ *
+ * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+ * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS
+ * FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+ * CONTRIBUTORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+ * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+ * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS WITH THE
+ * SOFTWARE.
+ */
+
+#pragma once
+
+#if ENABLE(B3_JIT)
+
+namespace JSC { namespace B3 {
+
+template<typename T>
+struct DivisionMagic {
+ T magicMultiplier;
+ unsigned shift;
+};
+
+// This contains code taken from LLVM's APInt::magic(). It's modestly adapted to our style, but
+// not completely, to make it easier to apply their changes in the future.
+template<typename T>
+DivisionMagic<T> computeDivisionMagic(T divisor)
+{
+ typedef typename std::make_unsigned<T>::type UnsignedT;
+ UnsignedT d = divisor;
+ unsigned p;
+ UnsignedT ad, anc, delta, q1, r1, q2, r2, t;
+ UnsignedT signedMin = static_cast<UnsignedT>(std::numeric_limits<T>::min());
+ DivisionMagic<T> mag;
+ unsigned bitWidth = sizeof(divisor) * 8;
+
+ // This code doesn't like to think of signedness as a type. Instead it likes to think that
+ // operations have signedness. This is how we generally do it in B3 as well. For this reason,
+ // we cast all the operated values once to unsigned. And later, we convert it to signed.
+ // Only `divisor` have signedness here.
+
+ ad = divisor < 0 ? -divisor : divisor; // -(signed min value) < signed max value. So there is no loss.
+ t = signedMin + (d >> (bitWidth - 1));
+ anc = t - 1 - (t % ad); // absolute value of nc
+ p = bitWidth - 1; // initialize p
+ q1 = signedMin / anc; // initialize q1 = 2p/abs(nc)
+ r1 = signedMin - q1*anc; // initialize r1 = rem(2p,abs(nc))
+ q2 = signedMin / ad; // initialize q2 = 2p/abs(d)
+ r2 = signedMin - q2*ad; // initialize r2 = rem(2p,abs(d))
+ do {
+ p = p + 1;
+ q1 = q1 << 1; // update q1 = 2p/abs(nc)
+ r1 = r1 << 1; // update r1 = rem(2p/abs(nc))
+ if (r1 >= anc) { // must be unsigned comparison
+ q1 = q1 + 1;
+ r1 = r1 - anc;
+ }
+ q2 = q2 << 1; // update q2 = 2p/abs(d)
+ r2 = r2 << 1; // update r2 = rem(2p/abs(d))
+ if (r2 >= ad) { // must be unsigned comparison
+ q2 = q2 + 1;
+ r2 = r2 - ad;
+ }
+ delta = ad - r2;
+ } while (q1 < delta || (q1 == delta && r1 == 0));
+
+ mag.magicMultiplier = q2 + 1;
+ if (divisor < 0)
+ mag.magicMultiplier = -mag.magicMultiplier; // resulting magic number
+ mag.shift = p - bitWidth; // resulting shift
+
+ return mag;
+}
+
+} } // namespace JSC::B3
+
+#endif // ENABLE(B3_JIT)