/* * Copyright (c) 2001, 2003-2005 The Regents of The University of Michigan * 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 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 * 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. * * Authors: Nathan Binkert */ #ifndef __BASE_INTMATH_HH__ #define __BASE_INTMATH_HH__ #include #include "base/logging.hh" #include "base/types.hh" inline uint64_t power(uint32_t n, uint32_t e) { if (e > 20) warn("Warning, power() function is quite slow for large exponents\n"); if (e == 0) return 1; uint64_t result = n; uint64_t old_result = 0; for (int x = 1; x < e; x++) { old_result = result; result *= n; if (old_result > result) warn("power() overflowed!\n"); } return result; } inline int floorLog2(unsigned x) { assert(x > 0); int y = 0; if (x & 0xffff0000) { y += 16; x >>= 16; } if (x & 0x0000ff00) { y += 8; x >>= 8; } if (x & 0x000000f0) { y += 4; x >>= 4; } if (x & 0x0000000c) { y += 2; x >>= 2; } if (x & 0x00000002) { y += 1; } return y; } inline int floorLog2(unsigned long x) { assert(x > 0); int y = 0; #if defined(__LP64__) if (x & ULL(0xffffffff00000000)) { y += 32; x >>= 32; } #endif if (x & 0xffff0000) { y += 16; x >>= 16; } if (x & 0x0000ff00) { y += 8; x >>= 8; } if (x & 0x000000f0) { y += 4; x >>= 4; } if (x & 0x0000000c) { y += 2; x >>= 2; } if (x & 0x00000002) { y += 1; } return y; } inline int floorLog2(unsigned long long x) { assert(x > 0); int y = 0; if (x & ULL(0xffffffff00000000)) { y += 32; x >>= 32; } if (x & ULL(0x00000000ffff0000)) { y += 16; x >>= 16; } if (x & ULL(0x000000000000ff00)) { y += 8; x >>= 8; } if (x & ULL(0x00000000000000f0)) { y += 4; x >>= 4; } if (x & ULL(0x000000000000000c)) { y += 2; x >>= 2; } if (x & ULL(0x0000000000000002)) { y += 1; } return y; } inline int floorLog2(int x) { assert(x > 0); return floorLog2((unsigned)x); } inline int floorLog2(long x) { assert(x > 0); return floorLog2((unsigned long)x); } inline int floorLog2(long long x) { assert(x > 0); return floorLog2((unsigned long long)x); } template inline int ceilLog2(const T& n) { assert(n > 0); if (n == 1) return 0; return floorLog2(n - (T)1) + 1; } template inline bool isPowerOf2(const T& n) { return n != 0 && floorLog2(n) == ceilLog2(n); } template inline T divCeil(const T& a, const U& b) { return (a + b - 1) / b; } /** * This function is used to align addresses in memory. * * @param val is the address to be aligned. * @param align is the alignment. Can only be a power of 2. * @return The aligned address. The smallest number divisible * by @param align which is greater than or equal to @param val. */ template inline T roundUp(const T& val, const U& align) { assert(isPowerOf2(align)); T mask = (T)align - 1; return (val + mask) & ~mask; } /** * This function is used to align addresses in memory. * * @param val is the address to be aligned. * @param align is the alignment. Can only be a power of 2. * @return The aligned address. The biggest number divisible * by @param align which is less than or equal to @param val. */ template inline T roundDown(const T& val, const U& align) { assert(isPowerOf2(align)); T mask = (T)align - 1; return val & ~mask; } #endif // __BASE_INTMATH_HH__