220.127.116.11. Virtual Address Aliasing
For example, in a 64-KB direct-mapped cache with a 16-byte line, bits 15:4 are used to select the line. Assume that virtual address 0x1000 is mapped to physical address 0xF000 and virtual address 0x2000 is also mapped to physical address 0xF000. This is an illegal virtual address alias because accesses to virtual address 0x1000 use line 0x1 and accesses to virtual address 0x2000 use line 0x2 even though they map to the same physical address. This results in two copies of the same physical address in the cache. With an n-byte direct-mapped cache, there could be n/4096 copies of the same physical address in the cache if illegal virtual address aliases are not prevented. The bits of the virtual address that are used to select the line and are translated bits (bits 12 and up) are known as the color of the address. An operating system avoids illegal virtual address aliases by ensuring that if multiple virtual addresses map the same physical address, the virtual addresses have the same color. Note though, the color of the virtual addresses does not need to be the same as the color as the physical address because the cache tag contains all the bits of the PFN.
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