# 2022q1 Homework4 (quiz4) contributed by < [Wallmountain](https://github.com/Wallmountain) > :::danger https://hackmd.io/@sysprog/linux2022-homework4 裡頭的描述:「開發紀錄」的 HackMD 網址應該要用「固定網址」(參見 用固定網址發布筆記),也就是如 https://hackmd.io/@itsme/XXXX 的形式。 請修正登記於 https://hackmd.io/@sysprog/linux2022-homework4 裡頭的超連結。 :notes: jserv ::: ## 測驗一 > 延伸[第 3 週測驗題](https://hackmd.io/@sysprog/linux2022-quiz3)的測驗 7,已知輸入必為大於 0 的數值 (即 x > 0),以下程式碼可計算 $⌈log2(x)$⌉,也就是 [ceil](https://man7.org/linux/man-pages/man3/ceil.3.html) 和 [log2](https://man7.org/linux/man-pages/man3/log2.3.html) 的組合並轉型為整數: ```cpp int ceil_log2(uint32_t x) { uint32_t r, shift; x--; r = (x > 0xFFFF) << 4; x >>= r; shift = (x > 0xFF) << 3; x >>= shift; r |= shift; shift = (x > 0xF) << 2; x >>= shift; r |= shift; shift = (x > 0x3) << 1; x >>= shift; return (r | shift | x >> 1) + 1; } ```
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