// Copyright Vespa.ai. Licensed under the terms of the Apache 2.0 license. See LICENSE in the project root. #pragma once #include namespace vespalib::bits { //----------------------------------------------------------------------------- /** * Mix the prefix of one number with the suffix of another. * * @return mixed value * @param prefix the most significant bits are taken from this value * @param suffix the least significant bits are taken from this value * @param prefix_bits how many bits to take from the prefix **/ uint32_t mix(uint32_t prefix, uint32_t suffix, uint32_t prefix_bits) { if (prefix_bits == 0) { return suffix; } if (prefix_bits >= 32) { return prefix; } uint32_t suffix_mask = (1u << (32u - prefix_bits)) - 1u; uint32_t prefix_mask = (0u - 1u) - suffix_mask; return (prefix & prefix_mask) | (suffix & suffix_mask); } //----------------------------------------------------------------------------- /** * Find the number of leading zero bits in the given number. * * @return the number of leading zeros (0-32) * @param value the value to inspect. **/ uint32_t leading_zeros(uint32_t value) { if (value == 0) { return 32; } uint32_t n = 0; if (value <= 0x0000ffff) { n += 16; value <<= 16; } if (value <= 0x00FFffff) { n += 8; value <<= 8; } if (value <= 0x0FFFffff) { n += 4; value <<= 4; } if (value <= 0x3FFFffff) { n += 2; value <<= 2; } if (value <= 0x7FFFffff) { n += 1; } return n; } //----------------------------------------------------------------------------- /** * Split the inclusive range [min, max] into two separate adjacent * ranges such that the highest differing bit between min and max will * be 0 for both endpoints in the first range and 1 in the second. * The split ranges will be [min, first_max] and [last_min, max] after * calling this function. A higher return value indicate a coarser * split. Note that when this function returns 0, you end up with 2 * copies of the same identity range. * * @param min original minimum endpoint * @param max original maximum endpoint * @param first_max maximum endpoint of first subrange * @param last_min miniumum endpoint of last subrange * @return the number of bits in min and max not part of a common prefix **/ uint32_t split_range(uint32_t min, uint32_t max, uint32_t &first_max, uint32_t &last_min) { assert(max >= min); uint32_t prefix = leading_zeros(min ^ max); first_max = mix(min, 0xFFFFffff, prefix + 1); last_min = mix(max, 0x00000000, prefix + 1); return (32 - prefix); } //----------------------------------------------------------------------------- }