1080 lines
56 KiB
Markdown
1080 lines
56 KiB
Markdown
# Homework 3 Dynamic Memory Allocator - CSE 320 - Spring 2022
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#### Professor Eugene Stark
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### **Due Date: Friday 3/25/2022 @ 11:59pm**
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We **HIGHLY** suggest that you read this entire document, the book chapter,
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and examine the base code prior to beginning. If you do not read the entire
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document before beginning, you may find yourself doing extra work.
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> :scream: Start early so that you have an adequate amount of time to test
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your program!
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> :scream: The functions `malloc`, `free`, `realloc`, `memalign`, `calloc`,
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> etc., are **NOT ALLOWED** in your implementation. If any of these functions,
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> or any other function with similar functionality is found in your program,
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> you **will receive a <font color="red">ZERO</font>**.
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**NOTE:** In this document, we refer to a word as 2 bytes (16 bits) and a memory
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row as 4 words (64 bits). We consider a page of memory to be 1024 bytes (1 KB)
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# Introduction
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You must read **Chapter 9.9 Dynamic Memory Allocation Page 839** before
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starting this assignment. This chapter contains all the theoretical
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information needed to complete this assignment. Since the textbook has
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sufficient information about the different design strategies and
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implementation details of an allocator, this document will not cover this
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information. Instead, it will refer you to the necessary sections and pages in
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the textbook.
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## Takeaways
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After completing this assignment, you will have a better understanding of:
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* The inner workings of a dynamic memory allocator
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* Memory padding and alignment
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* Structs and linked lists in C
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* [errno](https://linux.die.net/man/3/errno) numbers in C
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* Unit testing in C
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# Overview
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You will create an allocator for the x86-64 architecture with the following features:
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- Free lists segregated by size class, using first-fit policy within each size class,
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augmented with a set of "quick lists" holding small blocks segregated by size.
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- Immediate coalescing of large blocks on free with adjacent free blocks;
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delayed coalescing on free of small blocks.
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- Boundary tags to support efficient coalescing, with footer optimization that allows
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footers to be omitted from allocated blocks.
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- Block splitting without creating splinters.
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- Allocated blocks aligned to "double memory row" (16-byte) boundaries.
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- Free lists maintained using **last in first out (LIFO)** discipline.
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- Obfuscation of block headers and footers to detect heap corruption and attempts to
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free blocks not previously obtained via allocation.
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You will implement your own versions of the **malloc**, **realloc**,
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and **free** functions.
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You will use existing Criterion unit tests and write your own to help debug
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your implementation.
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## Free List Management Policy
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Your allocator **MUST** use the following scheme to manage free blocks:
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Free blocks will be stored in a fixed array of `NUM_FREE_LISTS` free lists,
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segregated by size class (see **Chapter 9.9.14 Page 863** for a discussion
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of segregated free lists).
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Each individual free list will be organized as a **circular, doubly linked list**
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(more information below).
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The size classes are based on a power-of-two geometric sequence (1, 2, 4, 8, 16, ...),
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according to the following scheme:
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The first free list (at index 0) holds blocks of the minimum size `M`
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(where `M = 32` for this assignment).
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The second list (at index 1) holds blocks of size `(M, 2M]`.
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The third list (at index 2) holds blocks of size `(2M, 4M]`.
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The fourth list holds blocks whose size is in the interval `(4M, 8M]`.
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The fifth list holds blocks whose size is in the interval `(8M, 16M]`,
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and so on. This pattern continues up to the interval `(128M, 256M]`,
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and then the last list (at index `NUM_FREE_LISTS-1`; *i.e.* 9)
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holds blocks of size greater than `256M`.
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Allocation requests will be satisfied by searching the free lists in increasing
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order of size class.
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## Block Placement Policy
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When allocating memory, use a **segregated fits policy**, modified by the use of quick lists
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as follows. When an allocation request is received, the quick list containing blocks of the
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appropriate size is first checked to try to quickly obtain a block of exactly the right size.
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If there is no quick list of that size (quick lists are only maintained for a fixed set of
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the smallest block sizes), or if there is a quick list but it is empty, then the request will
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be satisfied from the main free lists.
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Satisfying a request from the main free lists is accomplished as follows:
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First, the smallest size class that is sufficiently large to satisfy the request
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is determined. The free lists are then searched, starting from the list for the
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determined size class and continuing in increasing order of size, until a nonempty
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list is found. The request is then satisfied by the first block in that list
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that is sufficiently large; *i.e.* a **first-fit policy**
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(discussed in **Chapter 9.9.7 Page 849**) is applied within each individual free list.
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If there is no exact match for an allocation request in the quick lists, and there
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is no block in the main free lists that is large enough to satisfy the allocation request,
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`sf_mem_grow` should be called to extend the heap by an additional page of memory.
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After coalescing this page with any free block that immediately precedes it, you should
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attempt to use the resulting block of memory to satisfy the allocation request;
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splitting it if it is too large and no "splinter" (*i.e.* a remainder smaller than the
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minimum block size) would result. If the block of memory is still not large enough,
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another call to `sf_mem_grow` should be made; continuing to grow the heap until either
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a large enough block is obtained or the return value from `sf_mem_grow` indicates that
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there is no more memory.
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As discussed in the book, segregated free lists allow the allocator to approximate a
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best-fit policy, with lower overhead than would be the case if an exact best-fit policy
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were implemented. The rationale for the use of quick lists is that when a small block
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is freed, it is likely that there will soon be another allocation request for a block
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of that same size. By putting the block in a quick list, it can be re-used for such
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a request without the overhead of coalescing and/or splitting that would be required
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if the block were inserted back into the main pool.
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## Splitting Blocks & Splinters
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Your allocator must split blocks at allocation time to reduce the amount of
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internal fragmentation. Details about this feature can be found in **Chapter 9.9.8 Page 849**.
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Due to alignment and overhead constraints, there will be a minimum useful block size
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that the allocator can support. **For this assignment, pointers returned by the allocator
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in response to allocation requests are required to be aligned to 16-byte boundaries**;
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*i.e.* the pointers returned will be addresses that are multiples of 2^4.
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The 16-byte alignment requirement implies that the minimum block size for your allocator
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will be 32 bytes. No "splinters" of smaller size than this are ever to be created.
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If splitting a block to be allocated would result in a splinter, then the block should
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not be split; rather, the block should be used as-is to satisfy the allocation request
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(*i.e.*, you will "over-allocate" by issuing a block slightly larger than that required).
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> :thinking: How do the alignment and overhead requirements constrain the minimum block size?
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> As you read more details about the format of a block header, block footer, and alignment requirements,
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> you should try to answer this question.
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## Freeing a Block
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When a block is freed, if it is a small block it is inserted at the front of the quick list of the
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appropriate size. Blocks in the quick lists are free, but the allocation bit remains set in
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the header to prevent them from being coalesced with adjacent blocks. In addition, there is a
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separate "in quick list" bit in the block header that is set for blocks in the quick lists,
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to allow them to be readily distinguished from blocks that are actually allocated.
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To avoid arbitrary growth of the quick lists, the capacity of each is limited to `QUICK_LIST_MAX` blocks.
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If an attempt is made to insert a block into a quick list that is already at capacity,
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the quick list is *flushed* by removing each of the blocks it currently contains and adding
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them back into the main free lists, coalescing them with any adjacent free blocks as described
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below. After flushing the quick list, the block currently being freed is inserted into the
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now-empty list, leaving just one block in that list.
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When a block is added into the main free lists, an attempt should first be made to
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**coalesce** the block with any free block that immediately precedes or follows it in the heap.
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(See **Chapter 9.9.10 Page 850** for a discussion of the coalescing procedure.)
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Once the block has been coalesced, it should be inserted at the **front** of the free
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list for the appropriate size class (based on the size after coalescing).
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The reason for performing coalescing is to combat the external fragmentation
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that would otherwise result due to the splitting of blocks upon allocation.
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Note that blocks inserted into quick lists are not immediately coalesced; they are only
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coalesced at such later time as the quick list is flushed and the blocks are moved into the
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main free lists. This is an example of a "deferred coalescing" strategy.
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## Block Headers & Footers
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In **Chapter 9.9.6 Page 847 Figure 9.35**, a block header is defined as 2 words
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(32 bits) to hold the block size and allocated bit. In this assignment, the header
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will be 4 words (i.e. 64 bits or 1 memory row). The header fields will be similar
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to those in the textbook but with some differences.
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**Block Header Format:**
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```c
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+----------------------------+----------------------+--------+--------+---------+---------+ <- header
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| payload size | block_size | unused | alloc |prv alloc|in qklst |
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| (0/1) |(4 LSB's implicitly 0)| (0) | (1) | (0/1) | (0) |
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| (32 bits) | (28 bits) | 1 bit | 1 bit | 1 bit | 1 bit |
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+---------------------------------------------------+--------+--------+---------+---------+ <- (aligned)
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```
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- The `payload_size` field, which occupies the four most-significant bytes of the header
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of an allocated block, will be used to store the payload size that was requested by the client
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for that block. In a free block (including a block in a quick list) this field be zero.
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- The `block_size` field gives the number of bytes for the **entire** block (including header/footer,
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payload, and padding). It occupies the four least-significant bytes of the block header or footer,
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except that three of the four least-significant bits of the block size, which would normally always
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be zero due to alignment requirements, are used to store additional information.
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This means that these bits have to be masked when retrieving the block size from the header and
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when the block size is stored in the header the previously existing values of these bits have
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to be preserved.
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- The `alloc` bit (bit 2, mask 0x4) is a boolean. It is 1 if the block is allocated and 0 if it is free.
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- The `prev_alloc` (bit 1, mask 0x2) is also a boolean. It is 1 if the **immediately preceding** block
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in the heap is allocated and 0 if it is not.
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- The `in_qklst` (bit 0, mask 0x1) is also a boolean. It is 1 if the block is currently in a quick list,
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and 0 if it is not. Note that if this bit is a 1, then the `alloc` bit will also be a 1.
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- The remaining bit out of the four least-significant bits (bit 3, mask 0x8) is not used, and should
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always be 0.
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> :scream: Note that the fact that only four bytes are available for storing the block
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> size and payload size in a block header means that the maximum size of a block will
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> be at most 2^32 bytes. The types of the arguments to the `sf_malloc()` and `sf_realloc()`
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> functions reflect this limitation.
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Each free block will also have a footer, which occupies the last memory row of the block.
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The footer of a free block (including a block in a quick list) must contain exactly the
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same information as the header. In an allocated block, the footer will not be present,
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and the space that it would otherwise occupy may be used for payload.
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> :thinking: Here is an example of determining the block size required to satisfy
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> a particular requested payload size. Suppose the requested size is 25 bytes.
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> An additional 8 bytes will be required to store the block header, which must always
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> be present. This means that a block of at least 33 bytes must be used, however due
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> to alignment requirements this has to be rounded up to the next multiple of the
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> alignment size. If the alignment size were 16 bytes (which would be just large enough
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> to enable the memory returned by the allocator to store in an aligned fashion any of
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> the basic data types supported by the x86-64 architecture), then a block of at least
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> 48 bytes would have to be used. As a result, there would be 15 bytes of "padding"
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> at the end of the payload area, which contributes to internal fragmentation.
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> Besides the header, when the block is free it is also necessary to store a footer,
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> as well and next and previous links for the freelist.
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> These will take an additional 24 bytes of space, however when the block is free there
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> is no payload so the payload area can be used to store this information, assuming that
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> the payload area is big enough in the first place. But the payload area is 40 bytes
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> (25 bytes plus 15 bytes of padding), which is certainly bigger than 24 bytes,
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> so a block of total size 48 would be fine.
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> Note that a block cannot be smaller than 32 bytes, as there there would not then
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> be enough space to store the header, footer, and freelist links when the block is free.
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## Obfuscation of Headers and Footers
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Your allocator has to satisfy one further requirement as regards the storage of the
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block headers and footers. The headers and footers will not be stored directly in
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memory; rather their contents will first be obfuscated by performing a bitwise XOR
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(C operator `^`) with a "magic" value that is obtained by referencing the preprocessor
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symbol `MAGIC`. This value is set randomly (by the utility code provided for you)
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when the heap is first initialized. When a header or footer is read from memory,
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it must again be XOR'ed with the magic value to expose the true contents.
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The purpose of obfuscating the headers and footers in this way is to help detect attempts
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to free pointers that were not obtained from a previous call to `malloc`, and also to make
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it possible to detect some situations in which the heap has been corrupted by overwriting
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of headers and/or footers.
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In the initial stages of debugging, you might find it helpful to turn off the header
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and footer obfuscation. This can be accomplished by making an initial call of
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`sf_set_magic(0x0)`. The effect of this is that the magic value will then always be `0x0`,
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rather than a randomly chosen value. Once you have your code working with obfuscation
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turned off in this way, don't forget to turn it back on again to test your code in the
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correct configuration, because the `sf_set_magic()` function will be replaced by a dummy
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version during grading.
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# Getting Started
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Fetch and merge the base code for `hw3` as described in `hw0` from the
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following link: https://gitlab02.cs.stonybrook.edu/cse320/hw3
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**Remember to use the `--strategy-option=theirs` flag with the `git merge`
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command as described in the `hw1` doc to avoid merge conflicts in the Gitlab
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CI file.**
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## Directory Structure
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<pre>
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.
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├── .gitignore
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├── .gitlab-ci.yml
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└── hw3
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├── hw3.sublime-project
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├── include
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│ ├── debug.h
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│ └── sfmm.h
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├── lib
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│ └── sfutil.o
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├── Makefile
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├── src
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│ ├── main.c
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│ └── sfmm.c
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└── tests
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└── sfmm_tests.c
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</pre>
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The `lib` folder contains the object file for the `sfutil` library. This
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library provides you with several functions to aid you with the implementation
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of your allocator. <span style="color:red">**Do NOT delete this file as it
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is an essential part of your homework assignment.**</span>
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The provided `Makefile` creates object files from the `.c` files in the `src`
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directory, places the object files inside the `build` directory, and then links
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the object files together, including `lib/sfutil.o`, to make executables that
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are stored to the `bin` directory.
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**Note:** `make clean` will not delete `sfutil.o` or the `lib` folder, but it
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will delete all other contained `.o` files.
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The `sfmm.h` header file contains function prototypes and defines the format
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of the various data structures that you are to use.
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> :scream: **DO NOT modify `sfmm.h` or the Makefile.** Both will be replaced when we run
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> tests for grading. If you wish to add things to a header file, please create
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> a new header file in the `include` folder
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All functions for your allocator (`sf_malloc`, `sf_free`, `sf_realloc`,
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`sf_internal_fragmentation`, and `sf_peak_utilization`)
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**must** be implemented in `src/sfmm.c`.
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The program in `src/main.c` contains a basic example of using the allocation functions.
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Running `make` will create a `sfmm` executable in the `bin` directory. This can be run
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using the command `bin/sfmm`.
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# Allocation Functions
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You will implement the three functions (`sf_malloc`, `sf_realloc`, and `sf_free`)
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in the file `src/sfmm.c`. The file `include/sfmm.h` contains the prototypes and
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documentation shown below.
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**Note:** Standard C library functions set `errno` when there is an error.
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To avoid conflicts with these functions, your allocation functions will set `sf_errno`,
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a variable declared as `extern` in `sfmm.h`.
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```c
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/*
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* This is your implementation of sf_malloc. It acquires uninitialized memory that
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* is aligned and padded properly for the underlying system.
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*
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* @param size The number of bytes requested to be allocated.
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*
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* @return If size is 0, then NULL is returned without setting sf_errno.
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* If size is nonzero, then if the allocation is successful a pointer to a valid region of
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* memory of the requested size is returned. If the allocation is not successful, then
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* NULL is returned and sf_errno is set to ENOMEM.
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*/
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void *sf_malloc(sf_size_t size);
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/*
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* Resizes the memory pointed to by ptr to size bytes.
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*
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* @param ptr Address of the memory region to resize.
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* @param size The minimum size to resize the memory to.
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*
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* @return If successful, the pointer to a valid region of memory is
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* returned, else NULL is returned and sf_errno is set appropriately.
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*
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* If sf_realloc is called with an invalid pointer sf_errno should be set to EINVAL.
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* If there is no memory available sf_realloc should set sf_errno to ENOMEM.
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*
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* If sf_realloc is called with a valid pointer and a size of 0 it should free
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* the allocated block and return NULL without setting sf_errno.
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*/
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void *sf_realloc(void *ptr, sf_size_t size);
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/*
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* Marks a dynamically allocated region as no longer in use.
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* Adds the newly freed block to the free list.
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*
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* @param ptr Address of memory returned by the function sf_malloc.
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*
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* If ptr is invalid, the function calls abort() to exit the program.
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*/
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void sf_free(void *ptr);
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```
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> :scream: <font color="red">Make sure these functions have these exact names
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> and arguments. They must also appear in the correct file. If you do not name
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> the functions correctly with the correct arguments, your program will not
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> compile when we test it. **YOU WILL GET A ZERO**</font>
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# Statistics Functions
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Besides the allocation functions discussed above, you are to implement the
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following two functions that return statistics about the memory utilization
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of the allocator:
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```c
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/*
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* Get the current amount of internal fragmentation of the heap.
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*
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* @return the current amount of internal fragmentation, defined to be the
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* ratio of the total amount of payload to the total size of allocated blocks.
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* If there are no allocated blocks, then the returned value should be 0.0.
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*/
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double sf_internal_fragmentation();
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/*
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* Get the peak memory utilization for the heap.
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*
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* @return the peak memory utilization over the interval starting from the
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* time the heap was initialized, up to the current time. The peak memory
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* utilization at a given time, as defined in the lecture and textbook,
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* is the ratio of the maximum aggregate payload up to that time, divided
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* by the current heap size. If the heap has not yet been initialized,
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* this function should return 0.0.
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*/
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double sf_peak_utilization();
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```
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These functions are also to be implemented in `sfmm.c`.
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> Any functions other than `sf_malloc`, `sf_free`, `sf_realloc`,
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> `sf_internal_fragmentation`, and `sf_peak_utilization`
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> **WILL NOT** be graded.
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# Initialization Functions
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In the `lib` directory, we have provided you with the `sfutil.o` object file.
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When linked with your program, this object file allows you to access the
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`sfutil` library, which contains the following functions:
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```c
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/*
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* @return The starting address of the heap for your allocator.
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*/
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void *sf_mem_start();
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/*
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* @return The ending address of the heap for your allocator.
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*/
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void *sf_mem_end();
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/*
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* This function increases the size of your heap by adding one page of
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* memory to the end.
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*
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* @return On success, this function returns a pointer to the start of the
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* additional page, which is the same as the value that would have been returned
|
|
* by get_heap_end() before the size increase. On error, NULL is returned.
|
|
*/
|
|
void *sf_mem_grow();
|
|
|
|
/* The size of a page of memory returned by sf_mem_grow(). */
|
|
#define PAGE_SZ ((sf_size_t)1024)
|
|
```
|
|
|
|
```c
|
|
/*
|
|
* @return The "magic number" used to obfuscate header and footer contents
|
|
* to make it difficult to free a block without having first succesfully
|
|
* malloc'ed one. To obtain the ability to turn off obfuscation using the
|
|
* -DWEAK_MAGIC compilation flag, you should not call this function directly
|
|
* but rather use the preprocessor symbol MAGIC where the magic number is
|
|
* required.
|
|
*/
|
|
sf_header sf_magic();
|
|
|
|
/* Define WEAK_MAGIC during compilation to use MAGIC of 0x0 for debugging purposes. */
|
|
#ifndef WEAK_MAGIC
|
|
#define MAGIC (sf_magic())
|
|
#else
|
|
#define MAGIC ((sf_header)0x0)
|
|
#endif
|
|
```
|
|
|
|
> :scream: As these functions are provided in a pre-built .o file, the source
|
|
> is not available to you. You will not be able to debug these using gdb.
|
|
> You must treat them as black boxes.
|
|
|
|
# sf_mem_grow
|
|
|
|
The function `sf_mem_grow` is to be invoked by `sf_malloc`, at the time of the
|
|
first allocation request to obtain an initial free block, and on subsequent allocations
|
|
when a large enough block to satisfy the request is not found.
|
|
For this assignment, your implementation **MUST ONLY** use `sf_mem_grow` to
|
|
extend the heap. **DO NOT** use any system calls such as **brk** or **sbrk**
|
|
to do this.
|
|
|
|
Function `sf_mem_grow` returns memory to your allocator in pages.
|
|
Each page is 1024 bytes (1 KB) and there are a limited, small number of pages
|
|
available (the actual number may vary, so do not hard-code any particular limit
|
|
into your program). Each call to `sf_mem_grow` extends the heap by one page and
|
|
returns a pointer to the new page (this will be the same pointer as would have
|
|
been obtained from `sf_mem_end` before the call to `sf_mem_grow`.
|
|
|
|
The `sf_mem_grow` function also keeps track of the starting and ending addresses
|
|
of the heap for you. You can get these addresses through the `sf_mem_start` and
|
|
`sf_mem_end` functions.
|
|
|
|
> :smile: A real allocator would typically use the **brk**/**sbrk** system calls
|
|
> calls for small memory allocations and the **mmap**/**munmap** system calls
|
|
> for large allocations. To allow your program to use other functions provided by
|
|
> glibc, which rely on glibc's allocator (*i.e.* `malloc`), we have provided
|
|
> `sf_mem_grow` as a safe wrapper around **sbrk**. This makes it so your heap and
|
|
> the one managed by glibc do not interfere with each other.
|
|
|
|
# sf_magic and MAGIC
|
|
|
|
The `sf_magic` function returns the random bit pattern that is being used
|
|
to obfuscate header and footer contents. This bit pattern must be XOR'ed
|
|
with header or footer contents to obfuscate them before storing them in memory,
|
|
and it must also be XOR'ed with header or footer contents to de-obfuscate them
|
|
after reading them from memory.
|
|
Instead of calling the `sf_magic` function directly, you should use the
|
|
preprocessor symbol `MAGIC` to obtain the magic bit pattern.
|
|
The definition of `MAGIC` is affected by whether or not the `WEAK_MAGIC`
|
|
C preprocessor symbol is defined during compilation. If `WEAK_MAGIC`
|
|
was not defined, then `MAGIC` calls `sf_magic()` to obtain the magic bit_pattern.
|
|
If `WEAK_MAGIC` was defined, then `MAGIC` is defined to be `0x0`.
|
|
The latter is useful during debugging, so you can examine the contents of headers
|
|
and footers in `gdb` without being confused by the obfuscation.
|
|
You can arrange for `WEAK_MAGIC` to be defined during compilation by uncommenting
|
|
the `-D WEAK_MAGIC` in the `DFLAGS` setting in the `Makefile`.
|
|
Make sure that you test your code with `-D WEAK_MAGIC` commented out (as it is
|
|
in the basecode distribution), because this is how your code will be compiled
|
|
during grading.
|
|
|
|
# Implementation Details
|
|
|
|
## Memory Row Size
|
|
|
|
The table below lists the sizes of data types (following Intel standard terminlogy)
|
|
on x86-64 Linux Mint:
|
|
|
|
| C declaration | Data type | x86-64 Size (Bytes) |
|
|
| :--------------: | :----------------: | :----------------------: |
|
|
| char | Byte | 1 |
|
|
| short | Word | 2 |
|
|
| int | Double word | 4 |
|
|
| long int | Quadword | 8 |
|
|
| unsigned long | Quadword | 8 |
|
|
| pointer | Quadword | 8 |
|
|
| float | Single precision | 4 |
|
|
| double | Double precision | 8 |
|
|
| long double | Extended precision | 16
|
|
|
|
> :nerd: You can find these sizes yourself using the sizeof operator.
|
|
> For example, `printf("%lu\n", sizeof(int))` prints 4.
|
|
|
|
In this assignment we will assume that each "memory row" is 8 bytes (64 bits) in size.
|
|
All pointers returned by your `sf_malloc` are to be 16-byte aligned; that is, they will be
|
|
addresses that are multiples of 16. This requirement permits such pointers to be used to
|
|
store any of the basic machine data types in a "naturally aligned" fashion.
|
|
A value stored in memory is said to be *naturally aligned* if the address at which it
|
|
is stored is a multiple of the size of the value. For example, an `int` value is
|
|
naturally aligned when stored at an address that is a multiple of 4. A `long double` value
|
|
is naturally aligned when stored at an address that is a multiple of 16.
|
|
Keeping values naturally aligned in memory is a hardware-imposed requirement for some
|
|
architectures, and improves the efficiency of memory access in other architectures.
|
|
|
|
## Block Header & Footer Fields
|
|
|
|
The various header and footer formats are specified in `include/sfmm.h`:
|
|
|
|
```c
|
|
Format of an allocated memory block
|
|
+-----------------------------------------------------------------------------------------+
|
|
| 64-bit-wide row |
|
|
+-----------------------------------------------------------------------------------------+
|
|
|
|
+----------------------------+----------------------+--------+--------+---------+---------+ <- header
|
|
| payload size | block_size | unused | alloc |prv alloc|in qklst |
|
|
| (0/1) |(4 LSB's implicitly 0)| (0) | (1) | (0/1) | (0) |
|
|
| (32 bits) | (28 bits) | 1 bit | 1 bit | 1 bit | 1 bit |
|
|
+---------------------------------------------------+--------+--------+---------+---------+ <- (aligned)
|
|
| |
|
|
| Payload and Padding |
|
|
| (N rows) |
|
|
| |
|
|
| |
|
|
+-----------------------------------------------------------------------------------------+
|
|
|
|
NOTE: For an allocated block, there is no footer (it is used for payload).
|
|
NOTE: The actual stored header is obfuscated by bitwise XOR'ing with MAGIC.
|
|
The above diagram shows the un-obfuscated contents.
|
|
```
|
|
|
|
```c
|
|
Format of a memory block in a quick list
|
|
+-----------------------------------------------------------------------------------------+
|
|
| 64-bit-wide row |
|
|
+-----------------------------------------------------------------------------------------+
|
|
|
|
+----------------------------+----------------------+--------+--------+---------+---------+ <- header
|
|
| unused | block_size | unused | alloc |prv alloc|in qklst |
|
|
| (0) |(4 LSB's implicitly 0)| (0) | (1) | (0/1) | (1) |
|
|
| (32 bits) | (28 bits) | 1 bit | 1 bit | 1 bit | 1 bit |
|
|
+---------------------------------------------------+--------+--------+---------+---------+ <- (aligned)
|
|
| |
|
|
| Payload and Padding |
|
|
| (N rows) |
|
|
| |
|
|
| |
|
|
+-----------------------------------------------------------------------------------------+
|
|
|
|
NOTE: For a block in a quick list, there is no footer.
|
|
```
|
|
|
|
```c
|
|
Format of a free memory block
|
|
|
|
|
|
+----------------------------+----------------------+--------+--------+---------+---------+ <- header
|
|
| unused | block_size | unused | alloc |prv alloc|in qklst |
|
|
| (0) |(4 LSB's implicitly 0)| (0) | (0) | (0/1) | (0) |
|
|
| (32 bits) | (28 bits) | 1 bit | 1 bit | 1 bit | 1 bit |
|
|
+------------------------------------------------------------+--------+---------+---------+ <- (aligned)
|
|
| |
|
|
| Pointer to next free block |
|
|
| (1 row) |
|
|
+-----------------------------------------------------------------------------------------+
|
|
| |
|
|
| Pointer to previous free block |
|
|
| (1 row) |
|
|
+-----------------------------------------------------------------------------------------+
|
|
| |
|
|
| Unused |
|
|
| (N rows) |
|
|
| |
|
|
| |
|
|
+------------------------------------------------------------+--------+---------+---------+ <- footer
|
|
| unused | block_size | unused | alloc |prv alloc|in qklst |
|
|
| (0) |(4 LSB's implicitly 0)| (0) | (0) | (0/1) | (0) |
|
|
| (32 bits) | (28 bits) | 1 bit | 1 bit | 1 bit | 1 bit |
|
|
+------------------------------------------------------------+--------+---------+---------+
|
|
|
|
NOTE: For a free block, footer contents must always be identical to header contents.
|
|
NOTE: The actual stored footer is obfuscated by bitwise XOR'ing with MAGIC.
|
|
The above diagram shows the un-obfuscated contents.
|
|
```
|
|
|
|
The `sfmm.h` header file contains C structure definitions corresponding to the above diagrams:
|
|
|
|
```c
|
|
#define IN_QUICK_LIST 0x1
|
|
#define PREV_BLOCK_ALLOCATED 0x2
|
|
#define THIS_BLOCK_ALLOCATED 0x4
|
|
|
|
typedef uint32_t sf_size_t;
|
|
typedef uint64_t sf_header;
|
|
typedef sf_header sf_footer;
|
|
|
|
/*
|
|
* Structure of a block.
|
|
* The first field of this structure is actually the footer of the *previous* block.
|
|
* This must be taken into account when creating sf_block pointers from memory addresses.
|
|
*/
|
|
typedef struct sf_block {
|
|
sf_footer prev_footer; // NOTE: This actually belongs to the *previous* block.
|
|
sf_header header; // This is where the current block really starts.
|
|
union {
|
|
/* A free block contains links to other blocks in a free list. */
|
|
struct {
|
|
struct sf_block *next;
|
|
struct sf_block *prev;
|
|
} links;
|
|
/* An allocated block contains a payload (aligned), starting here. */
|
|
char payload[0]; // Length varies according to block size.
|
|
} body;
|
|
} sf_block;
|
|
```
|
|
|
|
For `sf_block`, the `body` field is a `union`, which has been used to emphasize
|
|
the difference between the information contained in a free block and that contained
|
|
in an allocated block. If the block is free, then its `body` has a `links` field,
|
|
which is a `struct` containing `next` and `prev` pointers. If the block is
|
|
allocated, then its `body` does not have a `links` field, but rather has a `payload`,
|
|
which starts at the same address that the `links` field would have started if the
|
|
block were free. The size of the `payload` is obviously not zero, but as it is
|
|
variable and only determined at run time, the `payload` field has been declared
|
|
to be an array of length 0 just to enable the use of `bp->body.payload` to obtain
|
|
a pointer to the payload area, if `bp` is a pointer to `sf_block`.
|
|
|
|
> :thumbsup: You can use casts to convert a generic pointer value to one
|
|
> of type `sf_block *` or `sf_header *`, in order to make use of the above
|
|
> structure definitions to easily access the various fields. You can even cast
|
|
> an integer value to these pointer types; this is sometimes required when
|
|
> calculating the locations of blocks in the heap.
|
|
|
|
When a block is free, it must have a valid footer whose contents are identical to the
|
|
header contents. We will use a "footer optimization" technique that permits a footer
|
|
to be omitted from allocated blocks; thereby making the space that would otherwise
|
|
be occupied by the footer available for use by payload. The footer optimization
|
|
technique involves maintaining a bit in the header of each block that can be checked
|
|
to find out if the immediately preceding block is allocated or free.
|
|
If the preceding block is free, then its footer can be examined to find out its
|
|
size and then the size can be used to calculate the block's starting address for the
|
|
purpose of performing coalescing.
|
|
If the preceding block is **not** free, then it has no footer, but as we can only
|
|
coalesce with a free block there is no need for the information that we would have
|
|
found in the footer, anyway.
|
|
|
|
> :scream: Note that the `prev_footer` field in the `sf_block` structure is actually
|
|
> part of the **previous** block in the heap. In order to initialize an `sf_block`
|
|
> pointer to correctly access the fields of a block, it is necessary to compute the
|
|
> address of the footer of the immediately preceding block in the heap and then cast
|
|
> that address to type `sf_block *`. The footer of a particular block can be obtained
|
|
> by first getting an `sf_block *` pointer for that block and then using the contained
|
|
> information (*i.e.* the block size) to obtain the `prev_footer` field of the
|
|
> **next** block in the heap. The `sf_block` structure has been specified this way
|
|
> so as to permit it to be defined with a fixed size, even though the payload size
|
|
> is unknown and will vary.
|
|
|
|
## Quick List and Free List Heads
|
|
|
|
In the file `include/sfmm.h`, you will see the following declaration:
|
|
|
|
```c
|
|
#define NUM_QUICK_LISTS 10 /* Number of quick lists. */
|
|
#define QUICK_LIST_MAX 5 /* Maximum number of blocks permitted on a single quick list. */
|
|
|
|
struct {
|
|
int length; // Number of blocks currently in the list.
|
|
struct sf_block *first; // Pointer to first block in the list.
|
|
} sf_quick_lists[NUM_QUICK_LISTS];
|
|
|
|
#define NUM_FREE_LISTS 10
|
|
struct sf_block sf_free_list_heads[NUM_FREE_LISTS];
|
|
```
|
|
|
|
The array `sf_quick_lists` contains the heads of the quick lists,
|
|
which are maintained as **singly linked lists** accessed in LIFO fashion
|
|
(*i.e.* like stacks). The capacity of each quick list is limited to
|
|
a maximum of `QUICK_LIST_MAX` blocks. Inserting into a quick list that is
|
|
at capacity causes the quick list to be flushed as discussed elsewhere.
|
|
|
|
The array `sf_free_list_heads` contains the heads of the main free lists,
|
|
which are maintained as **circular, doubly linked lists**.
|
|
Each node in a free list contains a `next` pointer that points to the next
|
|
node in the list, and a `prev` pointer that points the previous node.
|
|
For each index `i` with `0 <= i < NUM_FREE_LISTS` the variable `sf_free_list_head[i]`
|
|
is a dummy, "sentinel" node, which is used to connect the beginning and the end of
|
|
the list at index `i`. This sentinel node is always present and (aside from its `next`
|
|
and `free` pointers) does **not** contain any other data. If the list is empty,
|
|
then the fields `sf_freelist_heads[i].body.links.next` and `sf_freelist_heads[i].body.links.prev`
|
|
both contain `&sf_freelist_heads[i]` (*i.e.* the sentinel node points back to itself).
|
|
If the list is nonempty, then `sf_freelist_heads[i].body.links.next` points to the
|
|
first node in the list and `sf_freelist_heads[i].body.links.prev` points to the
|
|
last node in the list.
|
|
Inserting into and deleting from a circular doubly linked list is done
|
|
in the usual way, except that, owing to the use of the sentinel, there
|
|
are no edge cases for inserting or removing at the beginning or the end
|
|
of the list.
|
|
If you need a further introduction to this data structure, you can readily
|
|
find information on it by googling ("circular doubly linked lists with sentinel").
|
|
|
|
> :scream: You **MUST** use the `sf_free_list_heads` array for the heads
|
|
> of your free lists and you **MUST** maintain these lists as circular,
|
|
> doubly linked lists.
|
|
> The helper functions discussed later, as well as the unit tests,
|
|
> will assume that you have done this when accessing your free lists.
|
|
|
|
> :scream: Note that the head of a freelist must be initialized before the list
|
|
> can be used. The initialization is accomplished by setting the `next` and `prev`
|
|
> pointers of the sentinel node to point back to the node itself.
|
|
|
|
## Overall Structure of the Heap
|
|
|
|
The overall structure of the allocatable area of your heap will be a sequence of allocated
|
|
and free blocks.
|
|
Your heap should also contain a prologue and epilogue (as described in the book, **page 855**)
|
|
to arrange for the proper block alignment and to avoid edge cases when coalescing blocks.
|
|
The overall organization of the heap is as shown below:
|
|
|
|
```c
|
|
Format of the heap
|
|
|
|
+-----------------------------------------------------------------------------------------+
|
|
| 64-bit-wide row |
|
|
+-----------------------------------------------------------------------------------------+
|
|
|
|
+-----------------------------------------------------------------------------------------+ <- heap start
|
|
| | (aligned)
|
|
| Unused |
|
|
| (1 row) |
|
|
+----------------------------+----------------------+--------+--------+---------+---------+ <- header
|
|
| payload size |minimum block_size(32)| unused | alloc |prv alloc|in qklst |
|
|
| (0) |(4 LSB's implicitly 0)| (0) | (1) | (0/1) | (0) | prologue block
|
|
| (32 bits) | (28 bits) | 1 bit | 1 bit | 1 bit | 1 bit |
|
|
+------------------------------------------------------------+--------+---------+---------+ <- (aligned)
|
|
| |
|
|
| Unused Payload Area |
|
|
| (3 rows) |
|
|
+------------------------------------------------------------+--------+---------+---------+ <- header
|
|
| payload size | block_size | unused | alloc |prv alloc|in qklst |
|
|
| (0/1) |(4 LSB's implicitly 0)| (0) | (0/1) | (0/1) | (0/1) | first block
|
|
| (32 bits) | (28 bits) | 1 bit | 1 bit | 1 bit | 1 bit |
|
|
+------------------------------------------------------------+--------+---------+---------+ <- (aligned)
|
|
| |
|
|
| Payload and Padding |
|
|
| (N rows) |
|
|
| |
|
|
| |
|
|
+--------------------------------------------+------------------------+---------+---------+
|
|
| |
|
|
| |
|
|
| |
|
|
| |
|
|
| Additional allocated and free blocks |
|
|
| |
|
|
| |
|
|
| |
|
|
+-----------------------------------------------------------------------------------------+
|
|
| payload size | block_size | unused | alloc |prv alloc|in qklst |
|
|
| (0) | (0) | (0) | (1) | (0/1) | (0) | epilogue
|
|
| (32 bits) | (28 bits) | 1 bit | 1 bit | 1 bit | 1 bit |
|
|
+------------------------------------------------------------+--------+---------+---------+ <- heap_end
|
|
(aligned)
|
|
|
|
NOTE: The actual stored epilogue is obfuscated by bitwise XOR'ing with MAGIC.
|
|
The above diagram shows the un-obfuscated contents.
|
|
```
|
|
|
|
The heap begins with unused "padding", so that the header of each block will start
|
|
`sizeof(sf_header)` bytes before an alignment boundary.
|
|
The first block of the heap is the "prologue", which is an allocated block of minimum
|
|
size with an unused payload area.
|
|
|
|
At the end of the heap is an "epilogue", which consists only of an allocated header,
|
|
with block size set to 0.
|
|
The prologue and epilogue are never used to satisfy allocation requests and they
|
|
are never freed.
|
|
Whenever the heap is extended, a new epilogue is created at the end of the
|
|
newly added region and the old epilogue becomes the header of the new block.
|
|
This is as described in the book.
|
|
|
|
We do not make any separate C structure definitions for the prologue and epilogue.
|
|
They can be manipulated using the existing `sf_block` structure, though care must be taken
|
|
not to access fields that are not valid for these special blocks
|
|
(*i.e.* `prev_footer` for the prologue and anything other than `header` and `prev_footer`
|
|
for the epilogue).
|
|
|
|
As your heap is initially empty, at the time of the first call to `sf_malloc`
|
|
you will need to make one call to `sf_mem_grow` to obtain a page of memory
|
|
within which to set up the prologue and initial epilogue.
|
|
The remainder of the memory in this first page should then be inserted into
|
|
the free list as a single block.
|
|
|
|
## Notes on sf_malloc
|
|
|
|
When implementing your `sf_malloc` function, first determine if the request size
|
|
is 0. If so, then return `NULL` without setting `sf_errno`.
|
|
If the request size is non-zero, then you should determine the size of the
|
|
block to be allocated by adding the header size and the size of any necessary
|
|
padding to reach a size that is a multiple of 16 to maintain proper alignment.
|
|
Remember also that the block has to be big enough to store the footer
|
|
as well as the `next` and `prev` pointers when the block is free.
|
|
As these fields are not present in an allocated block this space can (and should)
|
|
be overlapped with the payload area.
|
|
As has already been discussed, the above constraints lead to a minimum block size
|
|
of 32 bytes, so you should not attempt to allocate any block smaller than this.
|
|
After having determined the required block size, you should first check the
|
|
quick lists to see if they contain a block of that size.
|
|
If they do not, you should determine the index of the first main free list
|
|
that would be able to satisfy a request of that size.
|
|
Search that free list from the beginning until the first sufficiently large
|
|
block is found. If there is no such block, continue with the next larger
|
|
size class.
|
|
If a big enough block is found, then after splitting it (if it will not leave
|
|
a splinter), you should insert the remainder part back into the appropriate
|
|
freelist. When splitting a block, the "lower part" should be used to
|
|
satisfy the allocation request and the "upper part" should become the remainder.
|
|
Do not insert this remainder portion into any quick list; it should be put
|
|
directly into the main free lists.
|
|
|
|
If a big enough block is not found in any of the freelists, then you
|
|
must use `sf_mem_grow` to request more memory
|
|
(for requests larger than a page, more than one such call might be required).
|
|
If your allocator ultimately cannot satisfy the request, your `sf_malloc` function
|
|
must set `sf_errno` to `ENOMEM` and return `NULL`.
|
|
|
|
### Notes on sf_mem_grow
|
|
|
|
After each call to `sf_mem_grow`, you must attempt to coalesce the newly
|
|
allocated page with any free block immediately preceding it, in order to build
|
|
blocks larger than one page. Insert the new block at the beginning of
|
|
the appropriate main freelist (*not* a quick list).
|
|
|
|
**Note:** Do not coalesce past the beginning or end of the heap.
|
|
|
|
## Notes on sf_free
|
|
|
|
When implementing `sf_free`, you must first verify that the pointer being
|
|
passed to your function belongs to an allocated block. This can be done by
|
|
examining the fields in the block header. In this assignment, we will consider
|
|
the following cases to be invalid pointers:
|
|
|
|
- The pointer is `NULL`.
|
|
- The pointer is not 16-byte aligned.
|
|
- After XOR'ing the stored header with `MAGIC`:
|
|
* The block size is less than the minimum block size of 32.
|
|
* The block size is not a multiple of 16
|
|
* The header of the block is before the start of the first block
|
|
of the heap, or the footer of the block is after the end of the last
|
|
block in the heap.
|
|
* The `allocated` bit in the header is 0.
|
|
* The `prev_alloc` field in the header is 0, indicating that the previous
|
|
block is free, but the `alloc` field of the previous block header is not 0.
|
|
|
|
If an invalid pointer is passed to your function, you must call `abort` to exit
|
|
the program. Use the man page for the `abort` function to learn more about this.
|
|
|
|
After confirming that a valid pointer was given, you must free the block.
|
|
If the block size matches the size of one of the quick lists, it should be
|
|
inserted into that quick list, flushing the quick list first if it is already
|
|
at capacity. Otherwise, the block is inserted at the *front* of the appropriate
|
|
main free list, after coalescing with any adjacent free block.
|
|
|
|
Note that blocks in a main free list must **not** be marked as allocated,
|
|
and they must have a valid footer with contents identical to the block header.
|
|
In contrast, blocks in a quick list **are** marked as allocated, and they
|
|
do not have any footer. In addition, blocks in a quick list have the
|
|
`IN_QUICK_LIST` bit set in their header.
|
|
|
|
# Notes on sf_realloc
|
|
|
|
When implementing your `sf_realloc` function, you must first verify that the
|
|
pointer passed to your function is valid. The criteria for pointer validity
|
|
are the same as those described in the 'Notes on sf_free' section above.
|
|
If the pointer is valid but the size parameter is 0, free the block and return `NULL`.
|
|
|
|
After verifying the parameters, consider the cases described below.
|
|
Note that in some cases, `sf_realloc` is more complicated than calling `sf_malloc`
|
|
to allocate more memory, `memcpy` to move the old memory to the new memory, and
|
|
`sf_free` to free the old memory.
|
|
|
|
## Reallocating to a Larger Size
|
|
|
|
When reallocating to a larger size, always follow these three steps:
|
|
|
|
1. Call `sf_malloc` to obtain a larger block.
|
|
|
|
2. Call `memcpy` to copy the data in the block given by the client to the block
|
|
returned by `sf_malloc`. Be sure to copy the entire payload area, but no more.
|
|
|
|
3. Call `sf_free` on the block given by the client (inserting into a quick list
|
|
or main freelist and coalescing if required).
|
|
|
|
4. Return the block given to you by `sf_malloc` to the client.
|
|
|
|
If `sf_malloc` returns `NULL`, `sf_realloc` must also return `NULL`. Note that
|
|
you do not need to set `sf_errno` in `sf_realloc` because `sf_malloc` should
|
|
take care of this.
|
|
|
|
## Reallocating to a Smaller Size
|
|
|
|
When reallocating to a smaller size, your allocator must use the block that was
|
|
passed by the caller. You must attempt to split the returned block. There are
|
|
two cases for splitting:
|
|
|
|
- Splitting the returned block results in a splinter. In this case, do not
|
|
split the block. Leave the splinter in the block, update the header field
|
|
if necessary, and return the same block back to the caller.
|
|
|
|
**Example:**
|
|
|
|
<pre>
|
|
b b
|
|
+----------------------+ +------------------------+
|
|
| allocated | | allocated. |
|
|
| Blocksize: 64 bytes | sf_realloc(b, 32) | Block size: 64 bytes |
|
|
| payload: 48 bytes | | payload: 32 bytes |
|
|
| | | |
|
|
| | | |
|
|
+----------------------+ +------------------------+
|
|
</pre>
|
|
|
|
In the example above, splitting the block would have caused a 24-byte splinter.
|
|
Therefore, the block is not split.
|
|
|
|
- The block can be split without creating a splinter. In this case, split the
|
|
block and update the block size fields in both headers. Free the remainder block
|
|
by inserting it into the appropriate free list (after coalescing, if possible --
|
|
do not insert the remainder block into a quick list).
|
|
Return a pointer to the payload of the now-smaller block to the caller.
|
|
|
|
Note that in both of these sub-cases, you return a pointer to the same block
|
|
that was given to you.
|
|
|
|
**Example:**
|
|
|
|
<pre>
|
|
b b
|
|
+----------------------+ +------------------------+
|
|
| allocated | | allocated | free |
|
|
| Blocksize: 128 bytes | sf_realloc(b, 50) | 64 bytes | 64 bytes. |
|
|
| payload: 80 bytes | | payload: | |
|
|
| | | 50 bytes | goes into |
|
|
| | | | free list |
|
|
+----------------------+ +------------------------+
|
|
</pre>
|
|
|
|
# Helper Functions
|
|
|
|
The `sfutil` library additionally contains the following helper functions,
|
|
which should be self explanatory. They all output to `stderr`.
|
|
|
|
```c
|
|
void sf_show_block(sf_block *bp);
|
|
void sf_show_blocks();
|
|
void sf_show_free_list(int index);
|
|
void sf_show_free_lists();
|
|
void sf_show_quick_list(int index);
|
|
void sf_show_quick_lists();
|
|
void sf_show_heap();
|
|
```
|
|
|
|
We have provided these functions to help you visualize your free lists and
|
|
allocated blocks.
|
|
|
|
# Unit Testing
|
|
|
|
For this assignment, we will use Criterion to test your allocator. We have
|
|
provided a basic set of test cases and you will have to write your own as well.
|
|
|
|
You will use the Criterion framework alongside the provided helper functions to
|
|
ensure your allocator works exactly as specified.
|
|
|
|
In the `tests/sfmm_tests.c` file, there are ten unit test examples. These tests
|
|
check for the correctness of `sf_malloc`, `sf_realloc`, and `sf_free`.
|
|
We provide some basic assertions, but by no means are they exhaustive. It is your
|
|
job to ensure that your header/footer bits are set correctly and that blocks are
|
|
allocated/freed as specified.
|
|
|
|
## Compiling and Running Tests
|
|
|
|
When you compile your program with `make`, a `sfmm_tests` executable will be
|
|
created in the `bin` folder alongside the `main` executable. This can be run
|
|
with `bin/sfmm_tests`. To obtain more information about each test run, you can
|
|
use the verbose print option: `bin/sfmm_tests --verbose`.
|
|
You might also find it helpful to suppress the running of tests concurrently
|
|
by giving the `--j1` option.
|
|
It is also possible to restrict the set of tests that are run. For example,
|
|
using `--filter suite_name/test_name` will only run the test named `test_name`
|
|
in test suite `suite_name` (if there is such a test, otherwise it will run
|
|
no tests).
|
|
|
|
# Writing Criterion Tests
|
|
|
|
The first test `malloc_an_int` tests `sf_malloc`.
|
|
It allocates space for an integer and assigns a value to that space.
|
|
It then runs an assertion to make sure that the space returned by `sf_malloc`
|
|
was properly assigned.
|
|
|
|
```c
|
|
cr_assert(*x == 4, "sf_malloc failed to give proper space for an int!");
|
|
```
|
|
|
|
The string after the assertion only gets printed to the screen if the assertion
|
|
failed (i.e. `*x != 4`). However, if there is a problem before the assertion,
|
|
such as a SEGFAULT, the unit test will print the error to the screen and
|
|
continue to run the rest of the unit tests.
|
|
|
|
For this assignment **<font color="red">you must write 5 additional unit tests
|
|
which test new functionality and add them to `sfmm_tests.c` below the following
|
|
comment:</font>**
|
|
|
|
> :scream: You should definitely not regard the style in which the given tests
|
|
> have been written as an example of the correct way to write such tests.
|
|
> These handout tests have been deliberately coded in such a way as to to avoid
|
|
> giving away too much information about how you might write the allocator code.
|
|
> The tests contain many hard-coded numeric values and intentionally somewhat
|
|
> obscure pointer manipulations. You would do well **not** to follow this example,
|
|
> but rather to devise functions and macros that make your own code easier to write
|
|
> and to read. Exactly how you might do this has been left for you to work out!
|
|
|
|
```
|
|
//############################################
|
|
//STUDENT UNIT TESTS SHOULD BE WRITTEN BELOW
|
|
//DO NOT DELETE THESE COMMENTS
|
|
//############################################
|
|
```
|
|
|
|
> For additional information on Criterion library, take a look at the official
|
|
> documentation located [here](http://criterion.readthedocs.io/en/master/)! This
|
|
> documentation is VERY GOOD.
|
|
|
|
# Hand-in instructions
|
|
Make sure your directory tree looks like it did originally after merging the basecode,
|
|
and and that your homework compiles.
|
|
|
|
This homework's tag is: `hw3`
|
|
|
|
<pre>
|
|
$ git submit hw3
|
|
</pre>
|
|
|
|
# A Word to the Wise
|
|
|
|
This program will be very difficult to get working unless you are
|
|
extremely disciplined about your coding style. Think carefully about how
|
|
to modularize your code in a way that makes it easier to understand and
|
|
avoid mistakes. Verbose, repetitive code is error-prone and **evil!**
|
|
When writing your program try to comment as much as possible.
|
|
Format the code consistently. It is much easier for your TA and the
|
|
professor to help you if we can quickly figure out what your code does.
|