CRC CALCULATION APPARATUS

Abstract: There is disclosed herein a CRC calcualtion circuit which can calculate CRC checkbits on 8 bits of raw input data per cycle of a group clock. The calculation apparatus uses 8 rows of shifting links with the inputs of each row coupled to the data outputs of the preceding row. Each shifting link shifts its input bit one bit position toward the most significant bit, and selected shifting links perform an exclusive-OR operaiton between their input bits and the output of an input exclusive-OR gate which exclusive-OR's (84) one input bit with one of the bits in the most significant group of the checksum register (30). A group wide output (70) bus is used to access the final checkbits from the checksum register (34) by disabling the array of shifting links during the output cycles so that the groups of CRC data can be shifted into position through the array one group per each cycle of the group clock. Preset logic for forcing all logic 1's into the data inputs of the first row of shifting links is provided such the machine can be preset during the first clock cycle of the CRC calculation. Several differenct architectures are disclosed for allowing separate calculation of CRC bits on a header packet and a data packet where the CRC bits on the data packet may be calculated on the data alone or the data plus the header and the CRC bits for the header. Logic for allowing CRC calculation to be performed on all groups of a message while excluding some selected number of bits in the first group is also disclosed.

Description: The invention pertains to the field of cyclical redundancy codes calculation circuits for detecting errors in transmission of serial data over communication links. More particularly, the invention pertains to certain improvements in CRC calculation apparatus in integrated circuit form to conserve chip area. Error detection and correction using codes and check bits has long been used to improve the reliability of data transfers between units on a network or units in a computer system such as disk or main memory and the central processing unit. The most common scheme is parity checking. In this scheme, parity check bits are added to the information bits to make the total number of bits which are logic 1's in a byte equal to a known number. However this scheme has the well known drawback that when the number of information bits becomes high, the level of redundancy in terms of check bits required becomes excessively high. Another checking scheme exists called polynomial or cyclic coding. This scheme can be designed to perform with higher efficiencies, i.e., less redundancy, than the parity checking schemes. The high efficiency of these schemes is inducing designers to use them more and more frequently. The general concepts of cyclic coding schemes are most easily understood through use of several mental aids. A convenient way of thinking of a bit stream of data in serial format consisting of K bits is to think of it as a polynomial in a dummy variable x with K terms. The bits of the message are the coefficients of the polynomial. Thus, if 100100011011 is the bit stream message, the polynomial may be written as: (1) M(x) = 1.x¹¹ + 0.x¹⁰ + 0.x⁹ + 1.x⁸ + 0.x⁷ + 0.x⁶ + 0.x⁵ + 1.x⁴ + 1.x³ + 0.x² + 1.x¹ + 1.x⁰ or M(x) = x¹¹ + x⁸ + x⁴ + x³ + x + 1 To compute the cyclic code check bits (hereafter CRC bits) on a message, another polynomial P(x) called a generating polynomial is chosen. The degree of this polynomial, i.e., its highest exponent value, is greater than zero but less than the degree of M(x). The generator polynomial has a non-zero coefficient in the x⁰ term. For a message of a given length, more than one generating polynomial can be specified. Several accepted standard generating polynomials exist. A standard 32 bit generating polynomial is defined for the Autodin II and Ethernet tm standard. This generating polynomial is found in the draft proposed American National Standard for FDDI Media Access Control X3T9.5/83-16 update of 6-01-84. This standard generator polynomial is: (2) P(x) = x³² + x²⁶ + x²³ + x²² + x¹⁶ + x¹² + x¹¹ + x¹⁰ + x⁸ + x⁷ + x⁵ + x⁴ + x² + x + 1 Cyclic check or CRC bit computation involves dividing the message polynomial by the generator polynomial to generate a quotient polynomial and a remainder polynomial. The quotient polynomial is discarded and the remainder polynomial coefficients are appended to the message polynomial as CRC check bits. The combined message and check bits are then transmitted over the communication link and arrive at the receiver either modified or unmodified depending upon whether errors occurred during the transmission. Generally, the receiving apparatus divides the complete received message, including check bits, by the same generator polynomial which was used to generate the check bits at the transmitter end of the link. The result of this division is a zero remainder polynomial if no error occurred during the transmission. A non-zero remainder indicates the presence of an error. The type of apparatus that is used to perform the above described calculation on serial format input data is shown in Figure 1. Figure 1 is a block diagram of a CRC checkbit calculation machine. The CRC checksum register 30 is comprised of a plurality of memory cells that store the CRC check bits. The outputs of these memory cells are coupled to the inputs of an array 32 of shifting links some of which are exclusive-OR gates as best seen in Figure 2. Figure 2 is a detailed circuit diagram of the block diagram of Figure 1. The most significant output bit from the checksum register 30 is exclusive-ORed by an input gate 34 with the incoming serial data stream of the message polynomial, and the output of the exclusive-OR gate 34 which performs this function is coupled to an input of all the other exclusive-OR gates in the array. The array shifting links which are not exclusive-OR gates are simple conductors which merely shift the incoming data one bit position left or toward the most significant bit position. The outputs of the shifting links of the array are coupled back to the data inputs of the checksum register 30 by a bus 36. The exclusive-OR gates in the array 32 as well as the straight through conductors have their outputs coupled to the input of the checksum register of the next most significant bit position relative to the bit position of the input bits positions for each shifting link from the checksum register. A bit clock signal on the line 38 clocks the raw serial format input data of the message polynomial into the input gate 34 and causes the checksum register to load the data from the bus 36 into its memory cells. After all the raw input data bits in the message have been clocked in, the checksum register 30 contents are the CRC check bits for the message bits so processed. Figure 3 illustrates the format of the composite data packet that is transmitted after calculation of the checkbits. The segment 40 is the message polynomial upon which the CRC bits were calculated. These message polynomial bits are transmitted simultaneously with the calculation of the CRC bits in that each time a bit is input to the gate 34, it is simultaneously transmitted. The segment 42 is the complement of the CRC bits stored in the checksum register 30 after all the bits in the segment 40 have been processed. The segment 42 is comprised of complement CRC bits so that when CRC bits are calculated on the receiving end on the combined segments 40 and 42, the remainder will come out zero. In some protocols, the checksum register is preset to all logic 1's before the CRC calculation starts. In such a case, when CRC checkbits are calculated on the combined packet consisting of segments 40 and 42, the remainder will not be all zeros but will represent a standard remainder polynomial. This remainder polynomial will result every time when CRC checkbits are calculated on the combined segments 40 and 42 regardless of the bit pattern in the message polynomial 40. The CRC checkbits in the segment 42 are sent following the segment 40 by switching a multiplexer 44 with a select signal on the line 47 to deselect the serial data input line 46 and select the output line 48 of an inverter 50. The input of the inverter 50 is coupled to the output of the most significant bit position memory cell in the checksum register. The inverter 50 inverts the check bits as they are clocked out in serial fashion by the bit clock signal on the line 38. The composite packet comprised of segment 40 followed by the CRC checkbits 42 appears on the serial output line 52. A problem arises with the architecture of Figure 1 where no bit clock signal is available to clock in raw input data to the input gate 34. Some systems are byte oriented and only provide a byte clock signal for every eight bits. Such systems must be able to compute CRC bits by accepting one byte of raw input data at a time and simultaneously computing the CRC bits taking into account the effect of each bit in the raw input data byte. An architecture to accomplish this parallel CRC computation is shown in Figures 4A and 4B. In Figures 4A and 4B the array of shifting links is comprised of a plurality of rows of shifting links with each row assigned to process one of the bits of the raw input data byte. The raw input data byte is shown as the bits D7 through D0 coupled to the input gates on the left. Each of these input data bits is coupled to an input of one of the input exclusive-OR gates 67, 69, 70, 72, 74, 76, 78 and 80. Each of these input gates has its output coupled to an input of each exclusive-OR gate in its row and to the input of the least significant bit position shifting link in the next row. Thus each row in the array 56 acts like the shifting links row 32 in Figure 1 except that its outputs are connected to the inputs of the next row. The first row has its inputs coupled to the outputs of the checksum register 30 and the last row has its outputs coupled to the inputs of the checksum register. Each row has one input of its input gate coupled to the output of one of the bits in the highest order byte in the checksum register, the first row being connected to the highest order bit and the second row being connected to the second most significant bit and so on for all the rows. Each shifting link in each row shifts its input bit one bit position toward the most significant bit position of the checksum register. The architecture of Figure 4 therefore calculates CRC bits by processing 8 bits of raw input data at a time. If the architecture of Figure 4 is to be integrated, several improvements can be made which save chip area and which enable the architecture to perform several functions which cannot be done with the architecture of Figure 1. For example, to get the CRC bits out of the checksum register 30 in parallel format in the architecture of Figure 1 or Figure 4 requires that a conductor be connected to each output of the checksum register 30. For a 32 bit checksum register, this would require that a great deal of chip area be consumed by the output bus conductors. It would be useful if only the highest order byte of CRC outputs were connected to the output bus and the other bytes of CRC data were shifted into the highest order byte for output. This would cut down the number of conductors in the output bus from 32 to 8 thereby saving much chip area. In some systems it is necessary to calculate a first set of CRC bits on a first data packet and a second set of CRC bits on a second data packet either immediately following the first data packet or immediatly following transmission of the CRC checkbits calculated on the first data packet. It is customary in many CRC calculation machines to preset the contents of the checksum register to all logic 1's just before the start of the CRC calculation. This improves the performance of the CRC calculation machine in that input data strings having long strings of logic 0's will still affect the contents of the checksum register such that if there is a malfunction in the checksum register or the calculation array, the malfunction can be immediately detected. If the checksum register were not preset to all 1's, a defect in the checksum register or calculation array might not be detected in such a circumstance. When separate CRC check bits are to be calculated on two back to back packets, there is no clock cycle between the first and second packets during which the checksum register can be preset by inputting all logic 1's into the memory cells. It would be useful to provide a way to preset the CRC calculation machine for the second data packet in such a situation where there is no spare clock cycle between the first packet and the second packet. It is common in networks of computers to formulate data packets which have header bits which define the network and the particular node of that network to which is addressed a data message appended to the header bits. It is desirable in such situations to be able to calculate the CRC bits in either of two ways. The first way is to calculate a header CRC on the header bits, and then to calculate a data CRC on the data message. The second way is to calculate a header CRC on the header bits, and then to calculate a data CRC on the whole packet including the header bits, the header CRC check bits and the data message. It would be useful to provide a CRC calculation machine which could calculate CRC checkbits using either of these two methods. In the token ring computer network environment where all nodes in the network are connected together in a ring by a single cable, it is common to have multibyte messages being sent along the network where the first byte has certain initial bits which can be changed on the fly by any node in the network. It not desirable to include these initial bits which are subject to unpredictable changes which are not errors in the CRC calculation. Such changes would show up in the CRC check bits as errors if a change in one of these bits occurred while passing through a node between the transmitting and the receiving node. It would be useful to provide a CRC calculation machine which could calculate the CRC on a data packet using only a byte clock and still be able to exclude from the CRC calculation any number of initial bits in the first byte of a message. According to the present invention there is provided a CRC calculation apparatus comprising means for storing a plurality of CRC bytes, and calculation means for accepting input data from the storage means and raw input data, the calculation means dividing the raw input data by a predetermined binary number and storing the remainder of the division in the storage means as CRC check bits, characterised by shifting means coupled to the storage means and the calculation means for shifting the CRC bytes one byte at a time in the storage means toward a predetermined byte position in synchronization with a byte clock signal by deactivating the calculation means and sending the current contents of the storage means through the calculation means without change while simultaneously shifting the CRC bytes and then storing the unchanged, shifted CRC bits back in the storage means at positions which are shifted one byte toward the predetermined byte position, the foregoing actions being performed once in response to each activation of the byte clock signal, and a CRC output bus having one conductor coupled to each respective data output of the storage means for each CRC bit in the CRC data byte stored in the predetermined byte position, whereby the CRC bytes are made accessible for output via said output bus one byte at a time. In the present specification there is described by way of example a CRC calculation machine for 32 bit CRC checkbit packets which can output the CRC data in parallel format without the need for a 32 bit wide output bus. The machine uses an 8 bit wide output bus which has one conductor coupled to the data output of each memory cell storing a CRC bit in the most significant byte in the checksum register. The clock inputs of the checksum register memory cells are coupled to a byte clock signal which causes loading of data at the inputs of the checksum register periodically. The inputs of the checksum register are coupled to the outputs of the last row of an array of shifting links comprised of one row of shifting links for each bit of a raw input data byte. Each row has one column or shifting link position for each bit in the checksum register. Some of the shifting links are exclusive-OR gates which have one input coupled to the output of an input gate. This input gate performs an exclusive-OR function between one bit of the raw input data byte and one bit of the most significant byte of data stored in the checksum register. The other input of each exclusive-OR gate is coupled to an output bit of the checksum register for the column in which that particular gates resides. The outputs of the exclusive-OR gate shifting links are coupled to the input of the shifting link in the next row in the next most significant bit position. The shifting links which are not exclusive-OR gates are conductors which conduct the bit at their inputs to the input of the shifting link in the next row in the next most significant bit position, i.e., they perform a simple one bit shift function. The shift function of each shifting link is as follows. If the most significant bit in the checksum register is stored in the leftmost cell, each shifting link shifts its bit one bit to the left. This shifting function is used to advantage in the invention to implement the one byte wide output bus while maintaining the capability to output each byte in the checksum register in parallel format. After the CRC calculation is completed, the most significant byte of CRC data is read by simply reading the data on the output bus. The remaining bytes are read out one byte at a time in synchronization with the byte clock signals by using the array of shifting links to perform simple 8 bit left shifts for each byte clock signal. This is done by adding an AND gate to the shifting link array between the output of each input gate and the inputs of each exclusive-OR gate shifting link in each row. These AND gates have one input coupled to the output of the input gate and have another input coupled to a SHIFT not signal. The AND gates have their outputs coupled to all exclusive-OR gate inputs in the array row to which the output of the input gate was formerly connected. The SHIFT not signal, when asserted low, causes each exclusive-OR gate in the row in the array of shifting links to become transparent. This results in the data in the checksum register being passed through each row and shifted left by one bit position. After passing through each row in the array, the data will have been shifted 8 bits to the left for each byte clock signal. Thus upon the occurrence of the first byte clock signal when the SHIFT not signal is asserted, the second most significant CRC byte will be shifted into the memory cells of the most significant byte and may be read from the output bus. Upon the occurrence of the next byte clock signal, the third most significant byte of CRC data will be shifted from the former position of the second most significant byte into the position of the most significant byte. This process continues until all the bytes of CRC data have been shifted into the position of the most significant byte and read from the output bus. In the accompanying drawings, by way of example only:- Figure 1 is a block diagram of a serial format CRC calculation machine using a bit clock. Figure 2 is a logic diagram for the machine of Figure 1. Figure 3 is a diagram of the data format for a typical data message with its CRC bits appended. Figure 4 (4A + 4B) is a logic diagram for a parallel format CRC machine using a byte clock. Figure 5 is a block diagram of a CRC calculation machine embodying the invention and using a single byte wide output bus for outputting the CRC bytes. Figure 6 is a block diagram of a CRC calculation machine embodying the invention and using a single byte wide output bus connected to each byte of CRC data through a multiplexer. Figure 7 (7A +7B) is a logic diagram of the logic of the embodiment of Figure 5 showing the AND gate used in the array of shifting links to cause the shifting of lower order CRC bytes into the most significant byte position for output. Figure 8 is a block diagram of a circuit for presetting the checksum register with all 1's using an input multiplexer and presetting in the clock cycle before the first clock cycle of the CRC calculation. Figure 9 is a block diagram of a serial input data format circuit for presetting the checksum register with all 1's using OR gates and presetting in the first clock cycle of the CRC calculation. Figure 10 is a block diagram of a parallel input data format circuit for presetting the checksum register with all 1's using OR gates and presetting in the first clock cycle of the CRC calculation. Figure 11 is a block diagram of a serial input data format circuit for presetting the checksum register with all 1's using multiplexers and presetting in the first clock cycle of the CRC calculation. Figure 12 is a block diagram of a parallel input data format circuit for presetting the checksum register with all 1's using multiplexers and presetting in the first clock cycle of the CRC calculation. Figure 13 is a timing diagram of the control signals which control the preset function in the circuits of Figures 8 through 12 in either the serial or parallel format input data format and in either the circuits where the presetting is done in the clock cycle preceding the first clock cycle of the CRC calculation or during the first clock cycle of the CRC calculation. Figures 14A and 14B illustrate the data packet format of a typical network message and illustrates two different methods of calculating CRCH checkbits on the header and CRCD checkbits on the entire message or on the data packet alone. Figure 15 illustrates one serial format input data circuit for calculating the CRCH and CRCD checkbits according to either of the methods illustrated in Figure 14. Figure 16 illustrates one parallel format input data circuit for calculating the CRCH and CRCD checkbits according to either of the methods illustrated in Figure 14. Figure 17 illustrates a preferred serial format input data circuit for calculating the CRCH and CRCD checkbits according to either of the methods illustrated in Figure 14. Figure 18 illustrates a preferred parallel format input data circuit for calculating the CRCH and CRCD checkbits according to either of the methods illustrated in Figure 14. Figure 19 illustrates the timing for the control signals which control the embodiments of Figures 17 and 18 in calculating the CRCH and CRCD checkbits according to methods illustrated in Figure 14. Figure 20 (20A + 20B) illustrates the variable bit boundary and several other features of a CRC calculation machine. Figure 21 is a timing diagram for the embodiment of Figure 20 illustrating the operation of the variable bit boundary function. Regarding the drawings, it should be noted that the embodiments shown in Figs. 8-12 are the subject of our copending application 86309175.7 (EP-A-0225763); the embodiments shown in Figs. 15-19 are the subject of our copending application 86309177.3 (EP-A-0230730); and the embodiment shown in Figs. 20-21 is the subject of our copending application 86309147.6 (EP-A-0225761). BYTE WIDE OUTPUT BUS Turning to Figures 5 and 7A and 7B there are shown, respectively, block diagrams and logic diagrams of the preferred embodiment of a CRC machine for calculating multiple CRC bytes and outputting them over a single byte wide output bus. The embodiment of Figure 5 employes a checksum register 30 comprised of a plurality of memory cells, each having a data input, a data output and a clock input for receiving a byte clock signal. Upon receipt of the byte clock signal, any data on the inputs of the memory cells will be latched into the cell and reflected on the data outputs of the cells. Each memory cell operates independently of the adjacent cells on its left and right. The checksum register is segmented logically into a plurality of bytes of CRC data designated bytes 0 through 3 in Figure 5. In the preferred embodiment, there are 8 bits per byte and 32 bits total in the checksum register with byte 3 being the most significant byte. In Figure 5, byte 3 is comprised of memory cells 24 through 31. The data outputs of the checksum register are coupled to the inputs of an array of shifting links 60 as shown in Figure 7A and 7B. This array of shifting links is comprised of one row of shifting links for each bit of an raw input data byte comprised of the data bits D0 through D7 which enter the array on the left. These raw input data bits are the data bits of the message upon which a CRC calculation is desired. Each raw input data bit is coupled to one input of an input gate. There is one input gate designated for each row with a designated raw input data bit designated for that row and that input gate. For the first row, the designated raw input data bit is D7 and the designated input gate is the exclusive-OR gate 62. For the second row, the designated raw input data bit is D6, and the designated input gate is the exclusive-OR gate 64. A similar situation exists for each row and for all the bits of the raw input data byte. If the data bits were arriving in serial format, most significant bit first (an arbitrary assumption) and D7 was designated the most significant bit (another arbitrary assumption), then the designated raw input data bit for the first row would be the most significant bit of each bit or the first arriving bit if the bits were arriving serially. The designated bit for the second row would be the second most significant bit or the second bit to arrive if the bits were arriving in serial format. The third row would have as its designated bit, the third most significant bit or the bit arriving third in time and so on for all the rows. Each input gate has another input coupled to one of the data outputs of one of the bits of the most significant CRC byte. The input gate for the first row, gate 62 has its other input coupled to the data output of the most significant CRC bit, bit 31. The input gate for the second row has its other input coupled to the second most significant CRC bit, bit 30 and so on for all the rows. Each row of shifting links is comprised of a plurality of straight through conductors which do nothing but shift the bits at their inputs to their outputs which are connected to the inputs of the next row of shifting links in the next most significant bit position. That is these straight through conductors do nothing but shift their input bits one bit position left. The balance of the shifting links in each row are exclusive-OR gates which have one input as a bit input for the CRC bits from the checksum register or from the preceding row and which have another input coupled to the output of the input gate designated for that row. This latter input is not coupled directly to the output of the input gate, but is coupled to the output of an AND gate designated for the particular row. One input of this AND gate is coupled to the output of the exclusive-OR gate and another input is for receipt of a SHIFT not signal the purpose of which will be explained below. The output of the AND gate for each row is also coupled to the input of the least significant shifting link of the next row. There is one designated AND gate for each row, e.g., gate 66 for the first row and gate 68 for the second row. The output of each exclusive-OR gate shifting link is coupled to the input of the next most significant bit position shifting link in the next row, i.e., each exclusive-OR gate shifts its input bit one bit position to the left after performing the exclusive-OR operation on it. The relative positions of the exclusive-OR gate shifting links depends upon the particular generator polynomial being used. For the Autodin II and Ethernet standard generator polynomial given in formula (2) above, the exclusive-OR gates must be located so as to have their inputs coupled to bits 0, 1, 3, 4, 6, 7, 9, 10, 11, 15, 21, 22, 25 and 31 of the checksum register 30. The reason for this is well known to those skilled in the art of CRC calculation and will not be explained here for brevity and simplicity. Each row has its exclusive-OR gates in the same bit position. The inputs of the first row are coupled to the outputs of the checksum register as if it were a preceding row, and the outputs of the last row are coupled to the inputs of the checksum register as if it were the next row. The data outputs of the most significant byte of the CRC register are also coupled to the individual conductors of the CRC output bus 70. Preferably, each memory cell will have a complement output, and it is these outputs of the most significant byte which are coupled to the output bus 70. Alternatively, an inverter can be used in each line to invert the CRC bits prior to transmission. The purpose of the AND gates and the SHIFT not signal is to allow the array of shifting links to be made transparent so that data at the output of the checksum register will pass through the array unchanged and be shifted left by one byte in the process and re-input into the checksum register. When the SHIFT not signal is asserted, i.e., logic 0, all the AND gates such as the gates 66 and 68 have logic 0 outputs. The logic 0's on the lines 63 and 73 through 79 renders the exclusive-OR gates in the rows of shifting links transparent such that they pass their input data from the preceding row through to their outputs coupled to the next row without change. Because each row shifts its input data one bit to the left, and because there are 8 rows, the result is that for every cycle of the byte clock signal the data in the checksum register is shifted left by one byte when the SHIFT not signal is asserted. This allows all bytes of the CRC data to be accessed through the single byte wide output bus 70. The embodiment of Figure 5 may also be used in a serial format with some modifications. If the array of shifting links 84 is a single row of shifting links, then the AND gates of Figure 7 will not work to cause single byte left shifts for every byte clock signal. In a serial data input environment, the raw data input to the array 84 would be one bit at a time in serial format in synchronization with a bit clock signal. After all the raw input data bits are processed, the CRC checkbits for the message would reside in the checksum register 30. The most significant byte could be read immediatly on the output bus 70. The remaining bytes would be shifted left one bit at time by an additional coupling of each CRC bit data output to the input of the next most significant CRC bit input, i.e., the input of the neighboring cell on the left. This coupling would be through a multiplexer for each bit which would have one input coupled to the bus 36 and the other input coupled to the CRC bit data output on the right. The output of the multiplexer would be connected to the data input of the left neighbor. When outputting CRC bytes 2, 1 and 0, these multiplexers would be set to select the inputs coupled to the right neighbor of each cell. An additional logic circuit would then disable the output bus 70 for 8 cycles of the bit clock signal connected to the clock input of each cell in the checksum register and enable it when byte 2 had been shifted into the byte 3 or most significant byte position. The same process would be performed for each byte until all bytes had been read out. Referring to Figure 6 there is shown another embodiment for an output bus structure for a CRC calculation machine. This embodiment uses a multiplexer having 4 inputs each of which is coupled by a byte wide bus to the complement data outputs of one group of memory cells storing one byte of CRC data. A CRC not byte select signal on a bus 74 selects which of the four inputs to couple to the 8 bit output bus 70. CRC calculation is performed as described above, and it does not matter with respect to outputting the CRC data whether the array of shifting links 84 is a serial array or a parallel array or whether a bit clock or byte clock signal is used to clock the data in except the type of array and clock signal must be consistent. PRESET EMBODIMENTS As mentioned above, it is accepted practice to preset the checksum register to all logic 1's before the start of the calculation of CRC checkbits. Figures 8 through 12 illustrate various circuits for performing the preset function in two different ways and in both the serial and parallel calculation environment. Figure 8 shows the circuit of a CRC calculation machine using preset apparatus which must be actuated at least one clock cycle before the first clock cycle of the CRC calculation. The CRC apparatus is comprised of a checksum register 30 having its data outputs coupled to the data inputs of an exclusive-OR and shift array 84 as in the embodiments described above. The array 84 can be serial as the array 32 of Figures 1 and 2 or it can be parallel as is the array 60 of Figures 4A and 4B or 7A and 7B. In fact any of these arrays will suffice for purposes of practicing this embodiment of the invention as will any other array of shifting links described hereafter. As in the above described embodiments, the last row in the array is coupled through a multiplexer 86 to the data inputs of the checksum register 30 by a data bus 36 which is 32 bits wide. The multiplexer 86 has three 32 bit wide inputs marked A, B and C, and a 32 bit wide output bus 88 which is coupled to the data inputs of said checksum register. The multiplexer has three select inputs for receiving input select signals. The particular select signal which is active at any particular time causes its corresponding one of inputs A through C to be coupled to the output bus 88. The A input is 32 logic 1's, and the B input is the 32 data outputs of the checksum register collectively referred to as bus 91. The C input is the 32 bit bus 36 carrying the data outputs from the last row in the array 84. The input select signal PRESET SELECT is activated one or more clock cycles before the first clock cycle of the CRC calculation. This causes 32 logic 1's from input bus A to be coupled to the the bus 88 and loaded into the cells of the checksum register 30. Next, the COMPUTE SELECT input is asserted to couple the C input or bus 36 to the bus 88. While this condition exists, CRC calculation will proceed as the data of the message for which check bits are to be generated is clocked into the array 84. If at any time it is desired to stop the CRC calculation, the HOLD SELECT input may be asserted thereby connecting the outputs of the checksum register back into the inputs via the buses 90 and 88. Figures 9 through 12 illustrate various embodiments of a CRC calculation machine where the preset apparatus allows the preset logic 1's to be loaded during the first clock cycle of the CRC calculation. Each of these embodiments, and all the other embodiments described herein which do not use a feedback bus such as the bus 130 in Figure 17, employs an AND gate 100 in the clock line. These AND gates perform a logical AND operation between the clock signal and a COMPUTE signal which is asserted as a logic 1 when it is desired to compute CRC checkbits. When COMPUTE is a logic 1, CRC calculation can proceed. When COMPUTE is a logic zero, no CRC computation occurs, and the contents of the checksum register are constant. Figures 9 and 10 show serial array and parallel array embodiments respectively using OR gates to implement the preset function. Figures 11 and 12 show serial and parallel array embodiments respectively using multiplexers to implement the preset function. Of these embodiments, Figure 10 is the preferred embodiment. All of these embodiments will be discussed simultaneously as to the preset apparatus since the elements and the operation of the various elements and the form of the CRC calculation is the same for all the embodiments. These elements operate in the same manner as in the serial and parallel array embodiments of other embodiments of the invention discussed above. Further, the arrays themselves can be any of the serial or parallel arrays described herein for purposes of practicing the embodiments of the invention regarding preset during the first clock cycle of the CRC calculation without adversely affecting operation of this embodiment of the invention. An important element in each of the embodiments of Figures 9 through 12 is the coupling of the data outputs of the checksum register to the data inputs of the array of shifting links through circuitry which forces all the data inputs of the array of shifting links to a logic one state during the same clock cycle that the CRC calculation starts. The embodiments of Figures 9 and 10 use OR gates to implement this function of forcing logic 1's at the desired time while the embodiments of Figures 11 and 12 use multiplexers. In Figures 9 and 10 each of the four OR gates 87,89,92 and 93 represents 8 OR gates, and each performs an OR logic function on the bits of one of the bytes of CRC data stored in the checksum register 30. Each of the 8 OR gates represented by each of the gates 87,89,92,93 has an input coupled to one of the data outputs of a memory cell in the particular group of cells in the checksum register coupled to the corresponding OR gate 87,89,92,93. The output of each OR gate is coupled to an input of one of the shifting links in the first row of the array. Each OR gate has another input coupled to a NEW PRESET signal. When this signal is asserted as a logic 1, all the outputs of the OR gates assume a logic 1 value thereby forcing logic 1's at the inputs of the array of shifting links during the first clock cycle of the CRC calculation. This situation is equivalent to the situation which would exist if the checksum register 30 had been loaded with logic 1's on a previous clock cycle and those logic 1's were transmitted to the inputs of the first row of the array of shifting links on the first clock cycle of the CRC calculation. After the first clock cycle of the CRC calculation, the NEW PRESET signal reverts back to the logic 0 state thereby rendering the OR gates transparent. Thereafter any data in the checksum register is transmitted through the OR gates 90 through 93 without change, and the CRC calculation proceeds normally. Figures 11 and 12 accomplish the same forcing of logic 1's into the inputs of the first row of the array of shifting links using multiplexers 94 through 97 to redirect the inputs of the first row of shifting links in the array 32 or 60 to a source of 32 logic 1's. The multiplexers 94 through 97 could be represented as one multiplexer having two 32 bit inputs. One input would be connected to each of the 32 data outputs of the cells in the checksum register 30, and the other input would be for coupling to a source of 32 logic 1's such as a voltage source coupled to each of the conductors of the input. The output of the multiplexer would be a 32 bit bus coupled to the data inputs of the first row of shifting links in the array. The multiplexer would have an input for receiving a NEW PRESET SELECT signal. This signal is asserted during the first clock cycle of the CRC calculation and causes the multiplexer to select the input coupled to the source of logic 1's and to couple these logic 1's to the inputs of the first row of shifting links in the array. After the first clock cycle of the CRC calculation, the NEW PRESET SELECT signal reverts back to the state wherein the multiplexer couples the data outputs of the checksum register 30 to the data inputs of the array. Thereafter CRC calculation proceeds normally. Figure 13 shows a timing diagram showing the relationships of the clock signal and all the control signals of the embodiments of Figures 8 through 12. This diagram is self explanatory given the above discussion of the relationships of the present signals to the first clock cycle of the CRC calculation. HEADER CRC CALCULATION In many applications for transmission of serial data, header packets are used. These header packets are bits which define the addressed node for which the data packet attached to the header packet is intended. Such message organization is commonly used in networking of computers, terminals and peripherals. Figures 14A is a symbolic drawing of a typical message organization where CRCH 101 is a collection of CRC checkbits calculated on the header bits 100 and where CRCD 103 is a collection of CRC checkbits calculated on the data message 102. There are commonly used two different methods of calculating the CRCD checkbits. The first way is shown in Figure 14A where the CRCD checkbits are calculated on the data message 102 alone. The second way is shown in Figure 14B where the CRCD checkbits are calculated on the entire packet including the header 100, the CRCH checkbits 101 and the data bits 102. It is useful to have a CRC calculation machine which is capable of calculating separate CRCH and CRCD checkbit packets in either of the two ways. Any of the embodiments described above or to be described below which have a gate in the feedback bus 36 or which have the hold bus such as the bus 91 from the output of the checksum register 30 to its input through an input multiplexer 86 can calculate separate CRCH and CRCD checkbit packets according to the method of Figure 14A. This is done by stopping the CRC calculation after the header packet has been processed, outputting the then existing contents of the checksum register 30 as the CRCH packet and then presetting the checksum register and allowing the CRC calculation to begin again when the data message 102 begins to arrive. The embodiment of Figure 15 is one embodiment of a CRC calculation machine which can compute separate CRCH and CRCD checkbit packets in accordance with the method of Figure 14B using a serial format array 32 of shifting links. The embodiment of Figure 16 is one embodiment of a CRC calculation machine which can compute separate CRCH and CRCD checkbit packets in accordance with the method of Figure 14B using a parallel format array 32 of shifting links. Both of these embodiments use a separate snapshot register 106 and a multiplexer 108 to implement the method of Figure 14B. The common portions of these embodiments will be described below without distinguishing between whether a serial or parallel array of shifting links is used since this is irrelevant to the operation of this aspect of the invention. A checksum register 30 identical in construction, operation and purpose to the checksum registers described above in other embodiments has its data inputs coupled to the data outputs of an input multiplexer 86 by a 32 bit wide bus 88. The multiplexer 86 has three inputs which are the same inputs and which serve the same purpose of the inputs for the multiplexer 86 in Figure 8 discussed above. The output of the checksum register 30 is coupled to the input of the array of shifting links either directly as in Figure 15 or through a preset means 109 as shown in Figure 16. The embodiment of Figure 15 uses the preset method where the logic 1's are loaded into the checksum register 30 during the clock cycle before the CRC calculation starts. This is done by asserting the INPUT SELECT signal so as to select the input C of the multiplexer 86 during the clock cycle before the start of the CRC calculation so as to load 32 logic 1's into the checksum register 30. The embodiment of Figure 16 uses the preset method of forcing logic 1's into the input of the array of shifting links during the first clock cycle of the CRC calculation method as described above with respect to Figures 9 through 12. The preset means 109 can be either OR gates like the OR gates 87,89,92,93 in Figures 9 and 10, or multiplexers like the multiplexers 94 through 97 shown in Figures 11 and 12. Either preset method and apparatus may be used on either of the embodiments of Figures 15 or 16. The array of shifting links 32 or 60 can be any of the arrays of shifting links described herein. Regardless of whether the array 32 or 60 is for processing of serial format data messages or parallel format data messages, the outputs of the array are coupled to 32 data inputs of a snapshot register 106 which serves as a storage location for a copy of the CRCH checkbits. The snapshot register is comprised of a plurality of memory cells like those used in the checksum register, but those skilled in the art will appreciate other types of memory cells which may be used. The clock inputs of the memory cells in the snapshot register 106 are for coupling to an END OF HEADER clock signal which serves to load the output of the array of shifting links 32 or 60 into the snapshot register 106 after all the header bits have been processed and the output of the array on the bus 36 consists of the CRCH bits. These CRCH bits can be output on the CRCH output bus 110 byte by byte by use of a multiplexer such as the multiplexer 72 in Figure 6 or in other methods which will be apparent to those skilled in the art. To implement the CRCD calculation method of Figure 14B, the CRCH bits must be fed back into the array of shifting links as raw input data so that CRC bits may calculated on the CRCH bits. This is the purpose of the multiplexer 108 and the circuitry connected to it. The structure of this circuitry will be described briefly here followed by a description of its operation in implementing the method of Figure 14A and in implementing the method of Figure 14B. In the embodiment of Figure 15, the snapshot register 106 is connected as a shift register so that the CRCH bits may be shifted into one input of the multiplexer 108 in serial fashion on a line 112. The other input of the multiplexer 108 is coupled to the source of the serial raw input data. A select signal on a line 114 causes the multiplexer 108 to couple either the raw data in the message on line 116 or the CRCH data on the line 112 into the raw data input 118 of the array 32. A similar situation exists for the embodiment of Figure 16 except that the snapshot register 106 has 4 one byte wide output buses 118 through 121 which are coupled to 4 input ports of a multiplexer 116. The parallel format input data bits D7 through D0 are coupled by a bus 122 to an input port of the multiplexer 116, and a BYTE SELECT signal on a line 124 controls which of the inputs of the multiplexer 116 are to be coupled to the raw data input 126 of the array of shifting links. The embodiments of Figures 15 and 16 can be used to calculate the CRCD checkbits in the manner of Figure 14A. First, a preset operation must be done. Specifically as to the Figure 15 embodiment, by asserting the INPUT SELECT signal to select input C, 32 logic 1's will be loaded into the checksum register 30 in preparation for the CRC calculation. The Figure 16 embodiment can perform the preset in the same manner if the input multiplexer 86 is modified in Figure 16 to have the inputs of Figure 15, and the preset operation will be performed in the same manner. Either of the Figure 15 or Figure 16 embodiments can be preset using the new preset means 109 by asserting the NEW PRESET signal on the line 126 in the manner previously described. Next, by asserting the INPUT SELECT signal to select the A input of the multiplexer 86, CRC calculation can begin. The input A will be selected during CRC calculation on the header bits 100. After processing of the header bits, if the method of Figure 14A is to be used to calculate the CRCD checkbits, the input B will be selected during the clock cycles when the CRCH bits are output from the checksum register 30. This output process for outputting CRCH can be by any of the methods described above for serial or parallel shifting arrays depending upon the type of output bus structure coupled to the snapshot register. After the CRCH bits are output, the checksum register is preset to all 1's again if the method of Figure 14A is to be performed. The raw input data of the data message 102 is then input to the array 32 or 60 and processed to calculate the CRCD checkbits. If the method of Figure 14B is to be performed, the presetting steps and calculation steps are the same as above for calculating CRCH. However, upon completion of calculation of the CRCH checkbits, they must be copied into the snapshot register 106 so that they may be output while simultaneously being fed back into the raw data input of the array of shifting links. To do this, the END OF HEADER signal is asserted, which causes the CRCH bits to be loaded into the snapshot register 106. The END OF HEADER clock signal can be the clock signal supplied to the checksum register, i.e., the BIT CLOCK signal, gated through a gate which only allow it to pass when the end of the header is detected. This causes a copy of the CRCH bits to be made in the snapshot register 106 and shifted out one bit at a time on the bus 112. Another copy of the CRCH bits will be input at the end of the header into the checksum register 30 via the bus 36. In the case of the embodiment of Figure 15, the multiplexer 116 is caused by the SELECT signal on the line 114 to couple the serial data stream on the line 112 to the raw data input 118. Thus the CRCH checkbits are input to the array and operated upon the fashion described previously. After all the CRCH checkbits have been processed, the multiplexer 108 is caused by the SELECT signal to switch its output 118 back to the data message bits 102 on the line 117. After all the data bits in the message 102 have been processed, the CRCD checkbits will reside in the checksum register 30 and can be output in any of the manners described above. The preferred circuit for performing the CRCH and CRCD checkbit calculations is shown in Figure 17 in serial array format and in Figure 18 in parallel array format. Each circuit uses an input multiplexer 86 having its data outputs coupled to the 32 data inputs of the checksum register 30 by a bus 88. Each multiplexer 36 has an A input coupled to the feedback bus 36 coupled to the output of the array of shifting links 32 or 60. Each multiplexer also has an input C coupled by a bus 130 to the data outputs of the checksum register 30. Finally, each multiplexer 86 has a B input coupled to a remainder polynomial bit pattern. This bit pattern represents the coefficients of the standard remainder polynomial which results when CRC checkbits are calculated on a data message and its checkbits starting from a preset state of all logic 1's. The arrays of shifting links can be any of the array structures described herein. The output of the array of shifting links is coupled to the input of the checksum register 30 through the input multiplexer 86 by the feedback bus 36. The input of the arrays 32 or 60 are coupled to the data outputs of the checksum register 30 through a preset means 109 which has the same structure, operation and purpose as the preset means previously described. The data outputs of the checksum register 30 are also coupled to an output bus 132 which can have any of the structures and and be used in any of the manners described above to output CRC data from the checksum register. The manner in which the circuits of Figures 17 and 18 work to calculate the CRCH checkbits and to calculate the CRCD checkbits is best understood by referring to the timing diagram of Figure 19. FIGURE 14A METHOD To calculate CRCH and CRCD in the manner of Figure 14A, the arrays of shifting links in the embodiments of Figures 17 and 18 are preset to all logic 1's by asserting the NEW PRESET signal during the same clock cycle that the first bit or byte of the header packet arrives as shown on time line 2 of Figure 19. In other embodiments which use the alternative types of preset apparatus, the input select signal OLD PRESET is asserted to select the input of the input multiplexer which is coupled to a source of 32 logic one's. Next, the COMPUTE input select signal is asserted causing the input A to be selected and the CRCH checkbits are calculated on the header bits. After all bits of the header packet 100 have been processed, the CRCH checkbits will reside in the checksum register and may be shifted out on the CRC output bus in the case of the embodiment of Figure 17 or may be output one byte at a time using the apparatus described earlier herein. This process is symbolized by the assertion of the signal MUX or SHIFT on time line 4 of Figure 19. In alternative embodiments, all 32 bits of CRCH checkbits may be output in parallel. During the time when the CRCH bits are being output, the input multiplexer 86 is caused by the assertion of the HOLD signal illustrated on time line 6 to select input C for coupling to the checksum register input. This maintains the contents of the checksum register constant during the time the CRCH bits are being output to implement the method of Figure 14A. Upon completion of the output of the CRCH bits, the checksum register is again preset with all 1's by either asserting the NEW PRESET signal as shown on time line 7 of Figure 19 or by asserting the OLD PRESET signal during the clock cycle before the data message starts as shown on time line 8 of Figure 19. Thereafter, the input multiplexer is caused by assertion of the COMPUTE signal to again select the A input for coupling to the input of the checksum register 30. This causes the CRC calculation to resume on the raw input data bits of the data message 102 arriving at the raw data inputs 123 and 126. After all the data bits in the message 102 have been processed, the CRCD checkbits will be present in the checksum register 30. That concludes the method of calculation of the CRCH and CRCD checkbits per the method of Figure 14A. FIGURE 14B METHOD To calculate the CRCH and CRCD checkbits in accordance with the method of Figure 14B, the embodiments of Figures 17 and 18 are operated as follows. The NEW PRESET signal is asserted during the first clock cycle of the header as before and as shown on time line 2 of Figure 19. The COMPUTE input select signal is simultaneously asserted as shown on time line 1 of Figure 19. This selects the input bus A of the input multiplexer for coupling to the input of the CRC checksum register. The CRCH calculation then proceeds as earlier described. The CRCH checkbits will be present in the checksum register after all the header bits have been processed. As before, these CRCH checkbits must be held constant in the checksum register 30 while they are output. However, there is no snapshot register to hold a copy of them, so the input multiplexer 86 must be forced by assertion of the HOLD signal to select the input C so the CRCH bits in the checksum register 30 are recirculated without change until they have all been output. The outputting process for the CRCH bytes is identical to the process as described above and is symbolized by the signal assertion shown on the time line 4 of Figure 19. Several clock cycles will have passed during this process of outputting the CRCH bits without any CRCD checkbit calculation on the CRCH bits having been done. To implement the method of Figure 14B, the CRCD checkbits must be calculated on the entire packet including the header 100, the CRCH bits 101 and the data packet 102. To accomplish this, the input multiplexer is forced to select the input B at the end of outputting of all the CRCH bits during the clock cycle just before the first clock cycle in the input of the data portion 102 of the message 99. This is done by the assertion of the INITIATE REMAINDER signal illustrated on time line 5 of Figure 19. This loads the remainder polynomial bit pattern into the checksum register 30 at the very same time that the bit pattern would have existed in the checksum register anyway if calculation of CRCD data bits had been continuous since the first bit of the header. In other words, if the input C had not been selected at the end of the header to hold the CRCH bits in the checksum register constant during the output thereof, the bits which would have resulted in the checksum register by the time all the CRCH checkbit had been processed would be the bits in the remainder polynomial bit pattern. That this bit pattern can be accurately predicted is known since anytime a CRC calculation is performed on the data message plus the CRC bits calculated on the message alone, the resulting CRC bits represent a known polynomial which is published in the standard incorporated by reference herein defining the generator polynomial for the Autodin II and Ethernet standards. No presetting is done before processing the bits in the data packet 102 in this method. After all the bits in the data packet 102 have been processed, the CRCD checkbits reside in the checksum register and can be output in any of the manners described herein. VARIABLE BIT BOUNDARY CRC CALCULATION It is common in computer networks to send multiple byte messages to other nodes on the network where the first few bits of the first byte are subject to being changed on the fly by various nodes in the system. This is especially common in token ring networks. Since these bits are subject to being changed on the fly, they must not be included in the CRC calculation lest they be falsely assumed to be errors. One parallel format embodiment for calculating CRC checkbits on a variable number of bits in the first byte of the data message would be to make the first few rows of shifting links transparent. This would be done after presetting the checksum register to all logic 1's. The logic 1's are passed through to the first active row of shifting links coupled to the first bit of the raw input data to be included in the CRC calculation. However, the shifting action of the transparent rows of shifting links must be disabled to use this embodiment so that the least significant bits of the transparent rows are not filled with logic 0's as the logic 1's are shifted left in the transparent rows. This embodiment is more difficult to implement than the embodiment to be described next. One preferred aspect of the invention is to provide a flexible means whereby one or more bits in the first byte of a message upon which calculation of CRC bits is desired may be ignored. The problem in a parallel format calculation using a byte clock where several initial bits are to be ignored is to preset the appropriate row of shifting links to all 1's. The appropriate row is the row which has as an input to its input gate (such as the gate 62 in Figure 7) the first data bit in the raw input data of the first byte in the message which is to be included in the CRC calculation. Figure 20 illustrates the apparatus to accomplish this function along with the apparatus implementing the other important functions of the invention. The variable bit boundary function is implemented by the OR gates 110 through 125. The manner in which these OR gates cause the rows of shifting links coupled to the bits to be ignored to become transparent is best illustrated by example. The reader should simultaneously refer to Figure 21 which is a timing diagram of the control signals needed to implement the variable bit boundary function. The control signals needed to control the other apparatus illustrated in Figure 20A and 20B to perform the other functions of the invention which the embodiment of Figure 20A and 20B is capable of performing are as previously described herein. To make the rows of exclusive-OR gates transparent so as to pass the preset logic 1's to the next row, a logic 0 must be applied to one of the inputs of these exclusive-OR gates in the affected rows, i.e., the rows coupled to the bits to be ignored. This is the function of the OR gates 110 through 117 and of the IGNORE signals coupled to each of these OR gates. Assume that the first three data bits D7 through D5 are to be ignored in the CRC calculation. The first clock cycle of the CRC calculation is arbitrarily assumed to be between the times t₀ and t₁ in Figure 21. During the first clock cycle of the CRC calculation starting at the transitions 131 of BYTE CLOCK signal illustrated on time line 1 of Figure 21, the CALCULATE control signal for the input multiplexer 86 is asserted to select input A to allow the CRC calculation to begin as illustrated on time line 3. Also during the first clock cycle, the NEW PRESET signal is asserted to force all logic 1's into the data inputs of the first row of shifting links coupled to the input data bit D7 through the input gate 62 as illustrated on the time line 2. Also during the first clock cycle of the CRC calculation, but only during the first clock cycle, the IGNORE 7, IGNORE 6 and IGNORE 5 signals are asserted. Regardless of the logic state of the data bits D7, D6 and D5, logic 1's will exist on the lines 132, 134 and 136. The input gates 200, 202 and 204 thus receive two logic 1's at their inputs because the preset gates 138, 140 and 142 are forcing their outputs to logic 1's by virtue of the logic 1 state of the NEW PRESET signal. This is true regardless of the contents of the checksum register 30 at this time. The output lines of the exclusive-OR gates 200, 202 and 204 will be logic 0's therefore during the first clock cycle of the CRC calculation. The preset gates 109 are forcing all the data inputs of the first row of shifting links to which they are connected to a logic 1 state. These logic 1's are passed directly through to the second row by all the shifting links which are wires and are passed through all the shifting links which are exclusive-OR gates without inversion by virtue of the logic 0 on their common input line 63. This common input line carries the output signal from the input gate 200 after it is ANDed with the SHIFT not signal which is in a logic 1 state during the entire CRC calculation as shown on time line 4 of Figure 21. The common input line 63 of the first row also carries the input data bit for the least significant bit position shifting link of the second row. Since this bit must also be a logic 1 for the arrangement to work properly, another OR gate 118 is interposed between the common line 63 and the data input of the least significant bit position shifting link in the second row. This OR gate 118 has one input coupled to the common input line 63 and another input coupled to the line carrying the IGNORE 7 signal. The output of this OR gate is coupled to the input of the least significant bit position shifting link of the second row of shifting links. Since the IGNORE 7 signal is a logic 1 during the first clock cycle of the CRC calculation, a one will be forced into the input of the least significant bit position shifting link of the second row. Each row of shifting links in the array has an OR gate like the gate 118. The outputs of all these OR gates, i.e., the gates 119 through 125 is coupled to the input of the least significant bit position shifting link in the next row and each gate has one input coupled to the IGNORE signal for that row and another input coupled to the common input line for that row. Thus any number of rows can have logic 1's forced into their least significant bit position shifting links by asserting the IGNORE signal for that row. Likewise, any number of rows can be made transparent by asserting the IGNORE signal coupled to the OR gates 110 through 117 having their outputs coupled to the inputs of the input gate for the row to be made transparent. In the particular example at hand, the IGNORE 7 through IGNORE 5 signals are asserted during the first clock cycle of the CRC calculation as shown on time lines 5 through 7 of Figure 21. This causes the first three rows of the array 60 to be transparent and to pass all logic 1's to the data inputs of the fourth row of shifting links. Thus during the first clock cycle of the CRC calculation, CRC checkbits will be calculated on all the bits of the first input byte D7 through D0 except the data bits D7 through D5. This occurs because the preset 1's are transmitted directly through the rows of shifting links coupled to the data bits D7 through D5 and so the row of shifting links coupled to data bit D4 acts like it is the first row in the array. After the first clock cycle of the CRC calculation is completed, the IGNORE 7 through IGNORE 5 signals are deactivated, and the CRC calculation proceeds normally.

Claims: A CRC calculation apparatus comprising means (30) for storing a plurality of CRC bytes, and calculation means (84) for accepting input data from the storage means (30) and raw input data, the calculation means (84) dividing the raw input data by a predetermined binary number and storing the remainder of the division in the storage means (30) as CRC check bits, characterised by shifting means (60) coupled to the storage means (30) and the calculation means (84) for shifting the CRC bytes one byte at a time in the storage means toward a predetermined byte position in synchronization with a byte clock signal by deactivating the calculation means and sending the current contents of the storage means through the calculation means without change while simultaneously shifting the CRC bytes and then storing the unchanged, shifted CRC bits back in the storage means at positions which are shifted one byte toward the predetermined byte position, the foregoing actions being performed once in response to each activation of the byte clock signal, and a CRC output bus (70) having one conductor coupled to each respective data output of the storage means (30) for each CRC bit in the CRC data byte stored in the predetermined byte position, whereby the CRC bytes are made accessible for output via said output bus (70) one byte at a time. An apparatus as defined in claim 1 wherein said calculation means (84) accepts input data one byte at a time in synchronization with said byte clock and simultaneously calculates CRC bits using all bits of the input data byte. An apparatus as defined in claim 2 wherein said calculation means (84) includes a plurality of rows of shifting links (60), each shifting link having an input and an output, with one said row for each input data bit, and wherein each shifting link row has its inputs coupled to the outputs of the next least significant shifting links in the previous row except for the least significant shifting link in each row which has its input coupled to the output of the most significant shifting link in the preceding row and except for the first row which has its inputs coupled to said data outputs of said storage means (30) as if it were a preceding row of shifting links, and wherein the last row of shifting links has its data outputs coupled to said data inputs of said storage means (30) as if it were a preceding row of shifting links and wherein predetermined shifting links are gates which perform an exclusive-OR logical operation between their input bits and a predetermined signal. An apparatus as defined in claim 3 wherein there is a predetermined signal for each said row of said shifting links and each said predetermined signal is generated by an input gate corresponding to that particular row which performs a predetermined logical operation between a predetermined one of said CRC bits and a data bit from said input data byte. An apparatus as defined in claim 4 wherein the input gate corresponding to the first row is a gate (62) which performs an exclusive-OR logical operation between the most significant CRC bit stored in the storage means (30) and the first data bit which would arrive if the data were input in serial fashion, and wherein the input gate corresponding to the second row is a gate (64) which performs an exclusive-OR operation between the next most significant CRC bit stored in the storage means (30) and the second bit which would arrive if said input data were input in a serial fashion, and so on for each row of said shifting links. The apparatus of claim 5 wherein said shifting means is a plurality of AND gates (66, 68), one for each row of said shifting links, each AND gate having one input coupled to the output of the exclusive-OR gate for a particular row and having its output coupled to one of the inputs of the exclusive-OR gates in the particular corresponding row of shifting links and each AND gate having another input for coupling to a source of a SHIFT not signal indicating when no CRC calculation is to be performed and only a shift of said CRC bits in said storage means (30) is to be performed, said shift being by one byte toward the predetermined byte position in said storage means (30). An apparatus as defined in claim 1 further comprising a multiplexer (72) having a plurality of data inputs, each data input having a plurality of conductors coupled to the data outputs of one of said CRC bytes stored in said storage means (30), said multiplexer having one data output having the number of conductors equal to the number of bits in one byte of CRC bits, and said multiplexer having an input for receiving a byte select signal (74) indicating which CRC byte to select, and means for coupling the input of said multiplexer coupled to the outputs upon which the selected CRC byte resides to the said output bus (70). An apparatus according to claim 1 wherein said CRC output bus is coupled to the highest order byte of CRC data stored in the storage means (30) and wherein the calculation means (84) includes signal generation means for simultaneously performing an exclusive-OR logical operation on each bit in said highest order byte of CRC bits stored in the storage means (30) with one bit of the raw input data to generate a first signal for each said CRC bit, and for simultaneously performing a logical AND operation between each result of the above defined exclusive-OR operations and a second signal so as to generate third resultant signals which are the AND logic functions between each of said first signals and said second signal, and means for calculating the CRC bit when said second signal is in a first predetermined logic state by performing an exclusive-OR logic operation between predetermined bits being shifted during predetermined shifts and the third resultant signals resulting from predetermined ones of said logical AND operations, and, when said second signal is in a second predetermined logic state, for only shifting said CRC bits toward the most significant CRC bit position in said storage means (30) without altering any CRC bit. An apparatus as defined in claim 8 wherein the means for shifting is comprised of an array of shifting links (60) arranged into rows and columns with the first row having inputs coupled to said data outputs of said storage means (30) and having outputs where the output of each shifting link in the first row is coupled to the input of the next most significant shifting link in the next row except for the most significant shifting link in the first row which has its output coupled to the input of the least significant shifting link in the second row and wherein said second row of shifting links is coupled between said first and third rows in a like fashion as said first row was coupled between said storage means (30) and said second row and so on for each row, and wherein selected ones of said shifting links are exclusive-OR gates which exclusive-OR their data inputs with said resultant signals generated by said signal generation means (84). An apparatus as defined in claim 9 wherein said signal generation means (84) is comprised of a plurality of exclusive-OR gates and a plurality of AND gates wherein said third resultant signal for said first row is generated by an exclusive-OR gate (62) having an input coupled to the data output of the most significant CRC bit stored in said storage means (30) and having an input for receiving the first bit of said raw input data which would arrive if the input data arrived in serial format, the output of said exclusive-OR gate being coupled to one input of an AND gate (66) which has another input for coupling to a source of said second signal, said AND gate (66) having an output coupled to an input of each exclusive-OR gate in said first row of said array of shifting links, and said third resultant signal for said second row being generated by a similar gating structure as is used to generate the third resultant signal for said first row except that the exclusive-OR gate (64) has one input coupled to the second most significant CRC bit data output from said storage means (30) and a second input for receiving the second bit of said raw data which would arrive if the raw input data were input in serial fashion, and so on for generation of the third resultant signals for all rows. An apparatus as defined in claim 10 wherein said means for shifting (60) causes shifting of the CRC bits by the number of places equal to the number of bits in one byte when said second signal is in the logic zero state and said byte clock signal is asserted. An apparatus according to claim 1 wherein the storage means (30) comprises a CRC checksum register having a plurality of memory cells arranged to store the plurality of bytes of CRC data, each said byte comprised of a plurality of CRC bits, and each memory cell having a data input, a data output and a byte clock input for coupling to said byte clock signal, each memory cell storing the data at said data input upon receipt of said byte clock signal at said byte clock input and presenting said stored data at said data output. Apparatus according to claim 12 wherein the shifting means (60) comprises: a plurality of data input exclusive-OR gates (62, 64), each having one input for coupling to one bit of the raw input data and each having one data input coupled to said data output of one of said memory cells coupled to said CRC data output bus (70), each data input exclusive-OR gate having a data output; an AND gate (66, 68) for each said data input exclusive-OR gate, said AND gate having a data output and each said AND gate having one input coupled to said data output of one of said data input exclusive-OR gates and each said AND gate having another input for coupling to a SHIFT signal indicating when asserted that only a shift without any alteration of the CRC bits is to occur; and a plurality of shifting links arranged into an array comprised of a number of rows equal to the number of said data input exclusive-OR gates and a number of columns equal to the number of bits in said CRC data and with each shifting link having an input and an output, said first row having its inputs coupled to the data outputs of said memory cells and said last row having its data outputs coupled to the data inputs of said memory cells, each row of shifting links comprised of a plurality of logical operators, one in each column, each logical operator performing a shift of the bit in that logical operator's column to the next higher order bit position in the next row, selected logical operators in each row also performing an exclusive-OR operation on their incoming bits with the output of said AND gate (66, 68) coupled to a data input of each exclusive-OR gate in the corresponding row, where the data input exclusive-OR gate (62) coupled to the most significant CRC bit corresponds to the first row and the data input exclusive-OR gate (64) coupled to the next most significant CRC bit corresponds to the second row and so on for each row. A method for outputting a plurality of bytes of CRC check bits one byte at a time on an output bus (70) which is only wide enough to carry one byte at a time away from an apparatus for calculating CRC bits using a CRC checksum register (30) and a calculation means (84), the method comprising the step of calculating the CRC check bits using said calculation means (84) and storing them in said checksum register (30); and being characterised by comprising the further steps of: outputting the highest order byte of CRC check bits on said output bus (70); shifting the second most significant byte of CRC check bits into the position in said CRC checksum register formerly occupied by the highest order byte of CRC check bits while simultaneously shifting all lower order bytes one byte toward the most significant bit position: outputting the second most significant byte of CRC check bits on said output bus; and continuing said shifting and outputting steps until all bytes of CRC check bits have been output on said output bus. The method of claim 14 wherein the calculation means used (84) is an array of rows of shifting links (60) having a number of rows equal to the number of bits in a byte and a number of columns equal to the number of CRC bits in said checksum register (30) and wherein each said row of shifting links shifts its input data one bit position toward the most significant bit position without altering said CRC data at predetermined times and supplies the shifted data to the next row except that the first row receives its data from the CRC checksum register and the last row outputs its data to the CRC checksum register and except that the most significant bit position shifting link in each row supplies its output to the least significant bit position shifting link of the next row and wherein selected shifting links are exclusive-OR gates and wherein the steps of shifting the bytes of CRC data one byte toward the most significant bit position includes the step of rendering each exclusive-OR gate in each row transparent by forcing a logic zero at one input of each exclusive-OR gate in each said row such that data from said CRC checksum register ripples unchanged through all rows of the shifting links and is re-input to the CRC checksum register on the next byte clock cycle shifted one byte toward the most significant bit.

Inventors: IYER, VENKATRAMAN, JOSHI, SUNIL P.
Applicants: ADVANCED MICRO DEVICES, INC.
Application year: 1986
Main classification: H03M13
IPC codes: H03M13, G06F11