Modern processors include various structures such as computing circuitry, logic, memory structures and so forth. Data that is processed by the structures is communicated at very high speeds, and is transmitted along very intricate datapaths formed using different types of semiconductor circuits. Given the very small size of such structures, information bits of such data can be subject to random errors such as single bit errors that may occur for a variety of reasons. Accordingly, many processors include some type of error detection circuitry, and it has been proposed to include at least some amounts of error correction circuitry for certain structures of a processor.
One challenging problem regarding usage of codes for error detection/correction in the processor (including memory and datapath) is that different types of codes are used in different units of the processor. For example, error correction codes (ECC) such as a Hamming code or similar code can be used in the memory units, and error detection codes such as residual arithmetic codes can be used in a datapath unit, and various parity codes are used in many control logics. The problem with using different types of codes in different units of the system is that the data need to be encoded and decoded multiple times when flowing through the system, increasing power consumption, complexity and real estate costs. Furthermore the circuits at the boundary of two ECC domains will not have any coverage.
Therefore moving data from one part of the system to another part requires the data going through the unprotected regions. Moving data in the system also requires extra encoding and decoding. This extra decoding and encoding process at the boundary of each sub-block increases the latency and the power consumption, and also reduces the coverage (since the encoding and decoding process can introduce errors to the data as well). As a result, this patchwork solution increases the design complexity of the system, and causes a processor or system-on-a-chip (SoC) design to be more challenging.
In various embodiments, an end-to-end coding technique may be used that covers a complete system, and replaces multiple different coding techniques with a single code. Such code may be a form of error correction code (ECC) that can provide end-to-end coverage for many different structures of a processor, memory or other system components. While the scope of the present invention is not limited in this regard, this code can be a hybrid code of multiple coding techniques, e.g., a combination of a residual arithmetic code and a Hamming code. As used herein this code may be referred to as a residual arithmetic-Hamming code, or RAH code. RAH code is similar to both Hamming codes and residual arithmetic codes, in the code structure and functionality. Therefore all instances of both Hamming codes and residual arithmetic codes in a processor can be replaced with a single RAH code, providing for a single universal end-to-end solution. In various embodiments, this RAH code is suitable for memory system, datapath, and control logics. Therefore it provides an end-to-end universal technique, which prevents multiple encoding and decoding between these units.
In one embodiment, this code is a two dimensional block code, and may be decoded and encoded using both a Hamming matrix and a residue generator/checker. In this technique bits can be represented in a two dimensional matrix. The following discussion to explain this code is through an example to code a 64-bit information word, although embodiments generalize to any size data word, to detect and correct any number of errors.
An exemplary RAH code in accordance with one embodiment of the present invention is a (72,64) code, with 64 information bits and 8 code bits. The 8 code bits of this code can be generated through two separate steps. First, two code bits may be generated that are the residue of the 64 information bits in modulo 3, represented as (r1r0). Note while this example uses modulo 3, other implementations may use a different factor. These bits can be generated using a residue generator. Second, the last 6 bits (p5p4p3p2p1p0) may be generated using a Hamming matrix. The resulting code may thus be in the form of the 72-bit code word shown in
The decoding process may be performed by generating 6 syndrome bits of the code using the Hamming matrix. The parity syndrome generation is similar to the encoding process. Assume there are i1 . . . i64 information bits, which were encoded into a 72-bit codeword: i1 . . . i64r0r1p0p1p2p3p4p5 with 64 information bits (i1 . . . i64), two residual bits (r0r1) and six parity bits (p0 . . . p5). Then at the decoder a 72-bit codeword is received that may contain errors. This potentially erroneous codeword can be represented as i′1 . . . i′64r′0r′1p′0p′1p′2p′3p′4p′5. At the decoder, a new set of parity bits may be generated from information bits i′1 . . . i′64, using the encoding generator matrix. These generated parity bits may be referred to as p″0p″1p″2p″3p″4p″5. The syndrome parity bits that locate the errors are generated by bit-by-bit exclusive-OR (XOR) operations between p′0p′1p′2f3p′4p′5 and p″0p″1p″2p″3p″4p″5, and result in syndrome parity bits, called sp0sp1sp2sp3sp4sp5.
If the value of the syndrome parity bits is zero, it indicates that there is no error in the code. A non-zero value of the syndrome parity bits, however, indicates that there is an error in the codeword. In typical Hamming codes, the non-zero value of the 6-bit syndrome pinpoints the erroneous bit in the code. For example if the non-zero value is 29, it indicates that the 29th bit of the codeword has error. Of course this requires a special arrangement of the information bits. In one embodiment, a hybrid code may be arranged as a (38, 32, 3) Hamming code. This arrangement has 6 empty entries assigned to the entries with index of power of 2, i.e., entries with indexes 1, 2, 4, 8, 16, and 32. The other entries are simply shifted to the left and therefore the representation of the information bits reaches index 38, as shown in
The error is corrected in the code by flipping the erroneous bit. In the RAH code, each row of the matrix has the same rearrangement as the Hamming code rearrangement of
At this point, using the parity syndrome bits, the column of the erroneous bit is identified by the parity syndrome. The row of the erroneous bit is identified by the residual arithmetic part of the code bits. Again assume i1 . . . i64r0r0p0p1p2p3p4p5 is the original codeword, and i′1 . . . i′64r′0r′1p′0p′1p′2p′3p′4p′5 is the codeword with a potential error bit. During the correction process, the residue (e.g., modulo 3) of the received information bits i′1 . . . i′64 may be generated, and called r″1r″0. The syndrome of the residual arithmetic part is generated by subtracting the two residues: [r′1r′0]−[r″1r″0], called syndrome residual bits, sr1sr0. The syndrome residual bits have 2 possible values: (01)2, and (10)2 (of course, the (00)2 value belongs to the error-free case), as shown in
The above process can thus pinpoint the errors in the information bits, identifying the row and the column of the error point. To complete the error correction process, an identification of errors in the parity bits and in the residue bits can occur. If there is an error in the information bits, the parity bits in the Hamming code parts point to the column of the error bit and the residue bits point to the row of the error and therefore the erroneous bit will be identified. If both syndrome parity and syndrome residue bits are zero, then the codeword is error free. If only syndrome parity is non-zero and syndrome residue is zero, then the error is in the parity bits themselves (i.e., p0p1p2p3p4p5), and if the syndrome parity bits are zero and the syndrome residue bits are non-zero, the error bit is in the residue bits (i.e., r0r1). In either of these latter cases, the information bits can be used directly without a correction procedure.
In various embodiments, a universal error correction code in accordance with an embodiment of the present invention may be suitable both for memory blocks and datapath blocks. Therefore, data can easily flow between these two blocks without being encoded and decoded each time. This reduces the power consumption and area overhead and improves performance. It also increases the error coverage and provides a clean design, which enables the SOC design methodology.
Referring now to
When a particular processor or other structure seeks to use the data and is capable of performing a decoding of the code, at block 130 the RAH code is decoded to obtain a parity syndrome and a residue syndrome, as described above. Note that a first step in such decoding may be to format the data in an appropriate matrix such as the 2×32 matrix of
If instead at diamond 140 it is determined that both syndromes are not zero, this indicates that an error may be present in the information bits. Accordingly, control passes to diamond 160, where it may be determined whether only one of the syndromes is non-zero. If so, this indicates that the error is present in the indicated syndrome, and as such the information is correct and can be directly used. If both syndromes are non-zero, control passes to block 170, where a location of the error may be determined using both the parity syndrome and the residue syndrome. Once the location has been determined at block 170, the error may be corrected, e.g., in an error correction logic, which may be part of a decoder or a separate entity (block 180). In one embodiment, this error may be corrected by changing the state of the bit at the indicated location, e.g., in a matrix, as determined using the parity and residual syndromes as described above. While shown with this particular implementation in the embodiment of
Embodiments can be implemented in many different systems. For example, embodiments can be realized in a processor such as a multicore processor. Referring now to
As shown in
Coupled between front end units 310 and execution units 320 is an out-of-order (OOO) engine 315 that may be used to receive the micro-instructions and prepare them for execution. More specifically OOO engine 315 may include various buffers to re-order micro-instruction flow and allocate various resources needed for execution, as well as to provide renaming of logical registers onto storage locations within various register files such as register file 330 and extended register file 335. Register file 330 may include separate register files for integer and floating point operations. Extended register file 335 may provide storage for vector-sized units, e.g., 256 or 512 bits per register. Note that as data (e.g., information bits) are passed through the various units of the processor, the coding bits of the RAH code may pass with the information bits. Note that register files may similarly be associated with ECC logics 330a and 335a.
Various resources may be present in execution units 320, including, for example, various integer, floating point, and single instruction multiple data (SIMD) logic units, among other specialized hardware. For example, such execution units may include one or more arithmetic logic units (ALUs) 322. In some implementations a coder/decoder (generically, a coder) 324 in accordance with an embodiment of the present invention, which may be used to generate a hybrid ECC code such as a RAH code, can be present in execution units 320. This code may include a residue generator/checker and a Hamming generator/checker. While shown at this particular location in the embodiment of
As shown in
Referring now to
Embodiments may be implemented in many different system types. Referring now to
Still referring to
Furthermore, chipset 590 includes an interface 592 to couple chipset 590 with a high performance graphics engine 538, by a P-P interconnect 539. In turn, chipset 590 may be coupled to a first bus 516 via an interface 596. As shown in
Embodiments may be implemented in code and may be stored on a storage medium having stored thereon instructions which can be used to program a system to perform the instructions. The storage medium may include, but is not limited to, any type of disk including floppy disks, optical disks, optical disks, solid state drives (SSDs), compact disk read-only memories (CD-ROMs), compact disk rewritables (CD-RWs), and magneto-optical disks, semiconductor devices such as read-only memories (ROMs), random access memories (RAMs) such as dynamic random access memories (DRAMs), static random access memories (SRAMs), erasable programmable read-only memories (EPROMs), flash memories, electrically erasable programmable read-only memories (EEPROMs), magnetic or optical cards, or any other type of media suitable for storing electronic instructions.
While the present invention has been described with respect to a limited number of embodiments, those skilled in the art will appreciate numerous modifications and variations therefrom. It is intended that the appended claims cover all such modifications and variations as fall within the true spirit and scope of this present invention.
This application claims priority to U.S. Provisional Patent Application No. 61/289,601 filed on Dec. 23, 2009 in the name of Helia Naeimi entitled A HYBRID ERROR CORRECTION CODE (ECC) TECHNIQUE FOR A PROCESSOR.
Number | Date | Country | |
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61289601 | Dec 2009 | US |