// Copyright (c) 2014 The mathutil Authors. All rights reserved. // Use of this source code is governed by a BSD-style // license that can be found in the LICENSE file. package mathutil import ( "math/big" ) // BitLenByte returns the bit width of the non zero part of n. func BitLenByte(n byte) int { return log2[n] + 1 } // BitLenUint16 returns the bit width of the non zero part of n. func BitLenUint16(n uint16) int { if b := n >> 8; b != 0 { return log2[b] + 8 + 1 } return log2[n] + 1 } // BitLenUint32 returns the bit width of the non zero part of n. func BitLenUint32(n uint32) int { if b := n >> 24; b != 0 { return log2[b] + 24 + 1 } if b := n >> 16; b != 0 { return log2[b] + 16 + 1 } if b := n >> 8; b != 0 { return log2[b] + 8 + 1 } return log2[n] + 1 } // BitLen returns the bit width of the non zero part of n. func BitLen(n int) int { // Should handle correctly [future] 64 bit Go ints if IntBits == 64 { return BitLenUint64(uint64(n)) } if b := byte(n >> 24); b != 0 { return log2[b] + 24 + 1 } if b := byte(n >> 16); b != 0 { return log2[b] + 16 + 1 } if b := byte(n >> 8); b != 0 { return log2[b] + 8 + 1 } return log2[byte(n)] + 1 } // BitLenUint returns the bit width of the non zero part of n. func BitLenUint(n uint) int { // Should handle correctly [future] 64 bit Go uints if IntBits == 64 { return BitLenUint64(uint64(n)) } if b := n >> 24; b != 0 { return log2[b] + 24 + 1 } if b := n >> 16; b != 0 { return log2[b] + 16 + 1 } if b := n >> 8; b != 0 { return log2[b] + 8 + 1 } return log2[n] + 1 } // BitLenUint64 returns the bit width of the non zero part of n. func BitLenUint64(n uint64) int { if b := n >> 56; b != 0 { return log2[b] + 56 + 1 } if b := n >> 48; b != 0 { return log2[b] + 48 + 1 } if b := n >> 40; b != 0 { return log2[b] + 40 + 1 } if b := n >> 32; b != 0 { return log2[b] + 32 + 1 } if b := n >> 24; b != 0 { return log2[b] + 24 + 1 } if b := n >> 16; b != 0 { return log2[b] + 16 + 1 } if b := n >> 8; b != 0 { return log2[b] + 8 + 1 } return log2[n] + 1 } // BitLenUintptr returns the bit width of the non zero part of n. func BitLenUintptr(n uintptr) int { if b := n >> 56; b != 0 { return log2[b] + 56 + 1 } if b := n >> 48; b != 0 { return log2[b] + 48 + 1 } if b := n >> 40; b != 0 { return log2[b] + 40 + 1 } if b := n >> 32; b != 0 { return log2[b] + 32 + 1 } if b := n >> 24; b != 0 { return log2[b] + 24 + 1 } if b := n >> 16; b != 0 { return log2[b] + 16 + 1 } if b := n >> 8; b != 0 { return log2[b] + 8 + 1 } return log2[n] + 1 } // PopCountByte returns population count of n (number of bits set in n). func PopCountByte(n byte) int { return int(popcnt[byte(n)]) } // PopCountUint16 returns population count of n (number of bits set in n). func PopCountUint16(n uint16) int { return int(popcnt[byte(n>>8)]) + int(popcnt[byte(n)]) } // PopCountUint32 returns population count of n (number of bits set in n). func PopCountUint32(n uint32) int { return int(popcnt[byte(n>>24)]) + int(popcnt[byte(n>>16)]) + int(popcnt[byte(n>>8)]) + int(popcnt[byte(n)]) } // PopCount returns population count of n (number of bits set in n). func PopCount(n int) int { // Should handle correctly [future] 64 bit Go ints if IntBits == 64 { return PopCountUint64(uint64(n)) } return PopCountUint32(uint32(n)) } // PopCountUint returns population count of n (number of bits set in n). func PopCountUint(n uint) int { // Should handle correctly [future] 64 bit Go uints if IntBits == 64 { return PopCountUint64(uint64(n)) } return PopCountUint32(uint32(n)) } // PopCountUintptr returns population count of n (number of bits set in n). func PopCountUintptr(n uintptr) int { if UintPtrBits == 64 { return PopCountUint64(uint64(n)) } return PopCountUint32(uint32(n)) } // PopCountUint64 returns population count of n (number of bits set in n). func PopCountUint64(n uint64) int { return int(popcnt[byte(n>>56)]) + int(popcnt[byte(n>>48)]) + int(popcnt[byte(n>>40)]) + int(popcnt[byte(n>>32)]) + int(popcnt[byte(n>>24)]) + int(popcnt[byte(n>>16)]) + int(popcnt[byte(n>>8)]) + int(popcnt[byte(n)]) } // PopCountBigInt returns population count of |n| (number of bits set in |n|). func PopCountBigInt(n *big.Int) (r int) { for _, v := range n.Bits() { r += PopCountUintptr(uintptr(v)) } return }