A SIMD DATA PROCESSING SYSTEM

Abstract: This invention relates to a data processing system includ­ ing an array of parallel processors (81) and a control unit (41). The system is of the type including addressable memory for registration of processing and machine status, as well as conditions in which at least some of the modular blocks in the instruction stream have been priority ordered. The system uses activity masks to register and control the execution status of each one of the processors in the parallel array. The system further includes, a set of instruction pointer registers, a set of order registers (153), a set of bit registers (155) indica­ tive of active processors, and a set of condition bit registers (157). The instruction stream is preprocessed by selectively inserting instructions from the set consisting of ELSE X, JOIN X, and DATUM X at the beginning of predetermined ones of the blocks. This renders enforceable the priority ordering in the execution of the blocks. Upon the occurrence of an inac­ tive processor the modular block, of an order less than the order of the block currently being executed, is pointed and the activity mask is altered so as to cause control to move to the block of lower order.

Description: A DATA PROCESSING SYSTEM This invention relates to a data processing system. SIMD (single instruction multiple data) parallel processors include a programmable control unit; a plurality of registers for storing counterpart vectors; mask registers; and means responsive to a sequence of one or more control unit instructions for concurrently operating upon data in the registers. Such machines may also be described as consisting of a programmable control unit driving an array of n parallel processors, each processor having a memory, arithmetic unit, program decode, and input/output (I/O) portions thereof. Such an array computer is described in U.S. Patent No. 3,537,074. Examples of data processing performable on such machines is described in IBM Technical Disclosure Bulletin, Volume 22, No. 6, pages 2489-2492, November 1979. These include parallel tabledirected translations and the performance of selected vector operations on elements determined by masks associated with the modification of linked lists. Other applications, such as numerical weather prediction, lend themselves to the matrix-oriented processing available on such machines. In SIMD machines, each linearly ordered program sequence, is called a basic block. Each basic block consists of a set of contiguous instructions uninterrupted by branches and targets except at its end points. The flow of control of these basic blocks may be modelled as a directed binary flowgraph. Presently, conditional branches cannot be supported on an SIMD machine except by the scheduling of the execution of basic blocks and managing masks controlling active and inactive parallel processors. In this respect, reference is made to an article entitled "Introduction to Computer Architecture", SRA Research Associates, Inc., 1975, at pages 333-338. This article discloses masking for conditional branching in an SIMD machine, and the processing of high-level instruction sequences by an external CPU. The CPU selectively sends individual fragments to a control unit and an array processor for execution. An example of a front-end processor coupling an array of processors over a distinctive I/O channel may be found in an IBM System 370 attaching an IBM 3838. This is described in IBM publication GA24-3639-1, second edition, published in February 1977. The 3838 array processor has twenty-one logic and index instructions but does not include a conditional branch or jump instruction. According to the invention there is provided a data processing system, characterised in that the system includes an array of parallel processors whose active or inactive execution status is regulated by an activity mask, a control unit for interpreting instructions for scheduling basic block execution and for selectively executing instructions within the blocks on parallel processors in the array, each array processor including a condition bit register coupling the control unit and adapted to be set into a first or second value by a currently executing basic block at the control unit, an activity bit register responsive to the condition bit register contents and adapted to be masked on for the first value and off for the second, an order register also coupling the control unit and updated together with the argument of the first instruction of a basic block to be prospectively executed if the activity register is masked off and the currently executed basic black if masked on, means for comparing the order register contents, upon the joint occurrence of one register of an inactive processor pointing to an order less than the order of a block currently being executed by an active processor and means including the comparing means for identifying the minimum value within the order registers and upon transfer of control and for masking the associated processor to the active state. The instruction stream is preprocessed (e.g., at compile time) by selectively inserting instructions from the set consisting of ELSE X, JOIN X, and DATUM X at the beginning of predetermined ones of the basic blocks. (The argument X represents the priority order of the block.) This renders enforceable the priority ordering in the execution of the blocks. Upon the occurrence of an inactive processor pointing to a basic block of an order less than the order of the basic block currently being executed, the activity mask is altered so as to cause control to move to the basic block of lower order. Tne execution of JOIN causes all processors waiting for the current block execution to be activated. In contrast, execution of ELSE results in the change of the current block order to be the minimum of the vector of block order registers. Priority ordering involves the assignment of a unique number to each basic block so that the basic blocks are linearly ordered. Further, the ordering is such that a vector processor, whenever it has a choice of the next basic block to execute, always selects the lower ordered one. One procedure for priority ordering involves selecting a left/right ordering of the out edges for each conditional branch node. This is accomplished by the association of "left" with unsuccessful branches and "right" with successful branches. The preprocessing step assumes the blocks to be in a flowgraph (directed graph) relation. It includes the substeps of (1) inserting a JOIN instruction at the beginning of each target of a left branch, (2) inserting an ELSE instruction at the beginning of the target of any right branch for which the corresponding left branch target has a lower order, and (3) inserting an ELSE instruction at the beginning of the target node of which each edge satisfies the following two conditions (a) the interval defined by consecutive blocks (i,j) contains a JOIN or ELSE and (b) either the interval is not a left branch or the interval is incomplete or unprotected. The invention will now be described by way of example with reference to the accompanying drawings in which : Figure 1 is a block diagram of a data processing system according to the invention; Figure 2 illustrates the defining characteristics of basic blocks and flowgraphs at Figure 11, including one method for insertion of ELSE and JOIN; Figure 3 shows register states at points in the execution of the example program of Figure 2; Figure 4 shows the control and data pathing in the data processing system embodying the invention; Figure 5 sets forth the instruction execution cycle involving selective altering of the activity masks; Figures 6, 7, and 8 show apparatus for implementing register modification and status; and Figures 9 and 10 set out comparator circuit arrangements required for enforcing priority ordering. Referring to Figure 1, there is shown the major elements of an SIMD system. Front-end processor 25 communicates both program and data elements over paths 45 and 35 to parallel path processor 41. Data and those instructions capable of being executed by an array 81 of n parallel processors are both communicated thereto and controlled by task processor 41 over plural lines 37 and others not identified. The system embodying the invention provides an improvement in the system disclosed in U.S. Patent No. 4,101,960. The system disclosed in U.S. Patent 4,101,960 includes an array of n parallel processors. Each processor in turn has a memory unit MU, a memory interface MI, a bus 37 over which array orders and data are communicated, an arithmetic element AE, and a pair of multiplexors, one for serial-to-parallel conversion of bus data into the arithmetic element and the other parallel-to-serial reconversion of data from the arithmetic element back to the bus and the task processor 41. The system embodying the invention provides the scheduling and managing of the execution of basic blocks. This is achieved by inserting ELSE/JOIN instructions at the beginning of selected blocks by the control unit as a preprocessing step. Upon execution, such inserted instructions enforce the priority ordering. Status registers have been added to the array, together with comparison circuitry. These include an activity bit AB, priority order PO, conditional bit CB, and instruction pointer IP registers for each of the n processors in the array. In this regard, the "activity mask" is the set of the n activity bit registers. By setting any individual bit, the control unit turns the associated array processor on/off, i.e., active/inactive. Referring to Figure 2 when taken together with Figure 11, there is depicted a plurality of basic blocks in flowgraph relation and possible insertion points at the beginning of each block. The method, as illustrated, inserts only JOIN and ELSE instructions. Alternatively, the instruction "JOIN 4" appearing in block B, may be replaced by the instruction "DATUM 4". This is because the particular JOIN will never be executed, and all that is needed is the order "4" of the block. Figure 3 illustrates one possible execution sequence for the sample program of Figure 2. The system embodying the invention provides (1) the use of ELSE and JOIN instructions for enforcing any given priority ordering and (2) the use of any priority ordering in executing multiple paths through the program produced by branch-on-condition instructions. Because in Figure 11, the depicted flowgraph has a large number of possible insertion points, then the issue is to identify a small but sufficient set of insertion points for the ELSE and JOIN instructions in order to enforce a specified order. If A and B are nodes, then we will use [A, B ] to denote the edge from A to B. The interval (A, B) is defined as the set of nodes with order greater than that of A and less than that of B. The edge CA, B] is increasing if the order of A is less than that of B. The edge [A, B] is decreasing if the order of A is greater than that of B. B is referred to as the target of edge [A, B ] . An interval is complete, if either no decreasing edge leaves it or all decreasing edges which leave it, leave from the node of maximum order from which no branch returns to the interval. An edge corresponding to the failure or success of-a conditional branch likewise corresponds respectively to a left or right branch. An interval (A, B) is protected if it can be entered only by an edge from A. The preprocessing step, involving selective insertion depicted in Figures 2 and 11, is governed by the following criteria: (1) Insert a JOIN instruction at the beginning of each target of a left branch. (2) Insert an ELSE instruction at the beginning of the target of any right branch for which the corresponding left branch target has a lower order. (3) Insert, or replace, a JOIN instruction with an ELSE instruction at the beginning of the target node of each edge [ A, B] satisfying the two conditions: (a) The interval (A, B) contains a JOIN or a ELSE, and (b) Either [ A, B] is not a left branch, or (A, B) is incomplete or unprotected. (4) Repeat step 3 until there is no change. Referring now to Figure 3, when taken together with Figure 2, it should be assumed that the program represented as flowgraph in Figure 11 has a stipulated priority ordering in which the label for each basic block, such as A, B, is also its symbolic address. A typical priority ordering could be expressed as follows: Address Order A 1 B 4 C 2 D 5 E 3 F 6 Note that the interval Cl, 4) is complete and protected. Interval (2, 5) is incomplete and unprotected, while the interval (3, 6) is complete and unprotected. Thus, one inserts JOIN 4 at b, ELSE 5 at d, and ELSE 6 at s. This is exemplified in Figure 2. Suppose there are three processors and the three paths to be taken are as follows: Path 1: a,b,d,f Path 2: a,c,d,f Path 3: a,c,e,c,d,f The states of the registers will be that as shown in Figure 3. During the execution of each basic block, condition bits may be set in the counterpart array processor registers. Conditional (or unconditonal) branch instructions occur only at the end of a block. Condition bits result from the interaction of program and data and represent a control path selection determined by data. During the execution of conditional branch instruction (BC), three cases are distinguished: (1) ALL 0, all condition bits (CBO to CBn) are 0; (2) ALL 1, all condition bits are 1; (3) Mixed, some condition bits are 0, some are 1. Circuitry for identifying these conditions and enabling respectively (1) step 11, (2) step 12, or (3) step 4, of the instruction execution cycle shown in Figure 5, are not illustrated. The ALL 0 case is to be executed as if there were no branch (step 11). The ALL 1 case is to be executed as if there were an unconditional branch (step 12). In the mixed case, processors are treated depending on the value of the counterpart condition bit. Details of the instruction execution cycle per Figure 5 shall be described subsequently. The following is a discussion of the execution of conditional branch instructions (BC), JOIN, ELSE, DATUM, as well as instructions including unconditional branch instructions capable of being executed on an SIMD machine, disclosed in U.S. Patent No. 4,101,960. For purposes of simplification only, two-way branches are described. The extension to multi-way branches is believed to be well within the scope of the skilled artisan when embued with the teachings of this invention. If the conditional bit for a processor is 0, then the activity bit associated therewith is turned off, i.e., AB [ i) = 0. At the same time, the argument of the first (ELSE/JOIN/DATUM) instruction of the target block for CONDITION = 0 is loaded in the PO register. This argument represents the priority order of the next block that the now inactive processor would be awaiting. Concurrently, the IP register is set to address the instruction after the ELSE, JOIN, or DATUM just read. If the condition bit for a processor is 1, then the activity bit associated therewith is turned on, i.e., AB [ i ] = 1. At the same time, the argument of the first ELSE/JOIN instruction is of no immediate interest, since the processor is in an active state. The purpose of the PO register contents is to define priority ordering with reference to inactive processors. The IP register is set to the location of the first instruction of the target block. During the execution of an ELSE instruction, a comparison circuit arrangement indicates where the PO register of an inactive processor CAB = 0) points to a block of order lower than the order contained within the PO register of a currently active processor CAB = 1). It is necessary to identify which processor PO register contains the minimum (lowest) order for the PO register set, then mask "on" the associated inactive -processor and mask "off" the formerly active processors. Referring now to Figure 4, there is shown the control and data pathing of the register plurality and controls added to the parallel task processor 41 and array 81 for implementing the method of the invention. Here, argument register 151 interconnects order register plurality 153 to the parallel task processor 41. In turn, the n-priority order registers constituting plurality 153 drive n counterpart activity bit registers 155. These terminate in counterpart ones of n condition CB bit registers 157. The complex of argument, order, activity bit and condition registers defines the processing condition of counterpart ones of the parallel processors in array 81. Instruction pointer registers 159 are coupled to the instruction processing unit 67 and a target register set 163, 165, and 167 over an address bus 161. The register set 163, 165, and 167 modifies the contents of one or more instruction pointer registers. In this regard, reference should be made to Figure 5, in steps 3 and 11, the contents of the "0" TGT register are copied into all active instruction pointer registers over bus 161. In step 12, the contents of the "1" TGT register are also copied. In step 13, the contents of the lowest numbered active instruction pointer register are sent over address bus 161 to the IPU as the address of the next instruction to be fetched from the TASK MEMORY 27. In the modification to U.S. Patent No. 4,101,960, the scaler processing unit 29 must be altered such that specific registers associated with the pair IPU 67 and LM 69 contain the predetermined values after an instruction FETCH from task memory 27. Accordingly, O TGT register 165 contains the address in task memory 27 of the instruction stored immediately after the one currently being executed; 1 TGT register 163 contains the address of the instruction to which the control would be transferred if the current instruction were an unconditional branch instruction tor a conditional branch instruction with conditions satisfied); ARG register 151 contains the value of the first operand of the current instruction. Note, that ARG and 1 TGT may be the same register. It is of some interest that the ELSE instruction which moves control from one basic block to another does this by selectively altering the activity mask. That is, bits in the vector of the activity bit registers are changed. The execution of ELSE results in the change of the current block order to be the minimum of the set of block order registers. Referring now to Figure 3, Subfigure 5, there is shown the state of the machine just before execution of the ELSE 5 instruction. For purposes of explanation, it is assumed only three processors are present. The following is a step-by-step account corresponding to Figure 5 of the Execution of the instruction ELSE 5. In Figure 5, in step 1, the instruction ELSE 5 is fetched from memory where it resided at address "d". Alternatively, the instruction may have been prefetched or it may reside in a buffer of the IPU. The "0" TGT register receives the address "d"' while the "1" TGT register and the ARG register received the value 5. Decoding logic, not otherwise illustrated, indicates the following state (1) the instruction is of the ELSE format, and (2) there is no universal agreement. That is, one of the activity registers is 0. Thus, the next step in the execution cycle is step 3. This is followed by steps 10 and 13. In step 3, the logic described in Figure 6 allows the IP register IP 3 to receive the value d', while the other IP registers keep their current values IP 1 = b', IP 2 = d'. Also, the active priority order register PO 3 receives the value 5 from ARG, while the other PO registers remain at PO 1 = 4, PO 2 = 5. At the beginning of step 10, the register states are as follows: AS 1 = 0, AS 2 = 0, AS 3 = 1; PO 1 = 4, PO 2 = 5, PO 3 = 5; IP 1 = b', IP 2 = d', IP 3 = d'; CB 1 = 0, CB 2 = 0, and CB 3 = 0. In step 10, referring to Figure 7, both lines 193 and 191 are enabled, and PO registers send their values to the generalized comparator 183. Comparator 183 sends a 1 on its corresponding output line for those PO registers with the minimum value. Thus, AS 1 will receive a 1, while AS 2 and AS 3 will each receive 0. This yields the final configuration depicted in Figure 3, Subfigure 6. In step 13, the switch labelled step 13 in Figure 5, is set to 1 and AS 1 = 1, so that the address b' in IP 1 is sent on the address bus 161 to the IPU. This indicates that the next instruction will be fetched memory location b1. This completes the cycle. Referring now to Figure 6, 7, and 8, there is shown apparatus for implementing register modification and status, correlated with instruction execution steps depicted in Figure 5. In Figure 6, the register-to-register transfers for steps 3, 11, and 12 are shown. Step 3 contemplates two transfers. The first is from ARG register 151 to ORDER registers 153. The second is from "0" TRG register 163 to IP register 159. In step 11, there is a data movement from register 163 to IP registers 159. In contrast, in step 12, the data movement is from companion 1 TGT register 165 to IP register 159. In these x-to-y register-to-register transfers the control logic includes a plurality of AND gates 1 , 171, 173 activating counterpart y registers through switching elements 175, 177, and 179, if the status of the array processor is active, as registered by a 1 in the counterpart activity bit register at the time the AND gates are enabled by an appropriate clocking signal (not shown on path 181). Referring now to Figure 7, there is shown a logic arrangement for implementing steps 9 and 10. Step 10 requires the rewriting of the ACTIVITY bits in register set 155 (Al, A2, An), corresponding to the contents of the order register set 153 made equal to the contents of the ARG register 151. Step 10 requires rewriting the contents of the activity bit registers according to the minimum order register contents. This latter is determined by the comparator arrangements 183 and 201 (1)... 201(n). Referring now to Figure 8, there is shown the logic arrangement for obtaining the next address on bus 161 for an instruction FETCH in parallel task processor 41. The address bus 161 is enabled in steps 5, 8, and 13. Referring now to Figures 9 and 10, there is shown a comparative circuit arrangement for identifying a minimum one of a set of numbers applied to the comparator inputs. Reference should be made to John B. Peatman, "Design of Digital Systems", McGraw-Hill, 1972, at pages 42 and 43. Note in Figures 9 and 10 at MCOMP (n) compares n values from the n PO registers and gives one value priority order register length in size output and n single bit outputs. Figures 9 and 10 further illustrate (a) the relations among the several MCOMP. The cycle steps of Figure 5 may be summarized as: Step 1. Fetch instruction to IU from MEMORY. Obtain 0 TGT, 1 TGT, and ARG from IPU. Step 2. Execute standard machine instruction. Step 3. Update active ORDER registers from ARG Update active IP registers from 0 TGT. Step 4. Copy STGT from 1 TGT. Step 5. Obtain ADDR from 0 TGT. Step 6. Zero inactive CONDITION bit registers. Rewrite ACT bit registers as ACT and CONDITION so that active registers are the subset of previously active registers corresponding to CONDITION = 0. Step 7. Rewrite ACT as CONDITION, i.e., copy all CONDITION bit registers into the corresponding ACT bit registers. Step 8. Obtain ADDR from STGT. Step 9. Rewrite ACT as ORDER = ARG, activating registers corres ponding to ORDER registers with the current order found in ARG Step 10. Rewrite ACT as ORDER - min(ORDER), activating exactly those registers corresponding to ORDER registers containing the minimum value currently contained by ORDER registers. Step 11. Update active IP registers from 0 TGT. Step 12. Update active IP registers from 1 TGT. Step 13. Obtain ADDR from the first (or any active IP register.

Claims: CLAIMS 1. A data processing system, characterised in that the system includes an array of parallel processors (81) whose active or inactive execution status is regulated by an activity mask, a control unit (41) for interpreting instructions for scheduling basic block execution and for selectively executing instructions within the blocks on parallel processors in the array, each array processor (15) including a condition bit register (157) coupling the control unit and adapted to be set into a first or second value by a currently executing basic block at the control unit, an activity bit register (155) responsive to the condition bit register contents and adapted to be masked on for the first value and off for the second, an order register (153) also coupling the control unit and updated together with the argument of the first instruction of a basic block to be prospectively executed if the activity register is masked off and the currently executed basic block if masked on, means for comparing the order register contents, upon the joint occurrence of one register of an inactive processor pointing to an order less than the order of a block currently being executed by an active processor and means including the comparing means for identifying the minimum value within the order registers and upon transfer of control and for masking the associated processor to the active state. 2. A system according to claim 1, in which the instruction stream is processed by selectively inserting instructions from a set consisting of ELSE, JOIN, and DATUM at the beginning of predetermined ones of the basic blocks so as to enforce the priority ordering in the execution of said blocks, and upon the occurrence of an inactive processor a basic block, which has an order less than the order of the basic block currently being executed, is pointed, the activity mask is selectively altered and control is moved to the basic block of lower order. 3. A system according to claim 2, in which the instruction stream is processed by inserting a JOIN instruction at the beginning of each target block of a left branch, inserting an ELSE instruction at the beginning of the target basic block of any right branch for which the corresponding left branch target basic block has a lower order, and inserting an ELSE instruction at the beginning of the target node of which each edge [i,j] satisfies the conditions that the interval (i,j) contains a JOIN or ELSE and either the edge [i,j] is not a left branch or the interval is incomplete and unprotected. 4. A system according to claim 2 or 3, in which the activity mask is altered and control is moved by executing one of the instructions from the set consisting of ELSE, JOIN, and BC (conditional branch). 5. A system according to claim 4, in which the ELSE instruction is executed by changing the order number of active processors of the array to be equal to the argument of the ELSE instruction, updating the instruction pointers for each active processor to the next instruction, while maintaining the instruction pointers for the inactive processors the same, and activating exactly those processors with the minimum order number by selectively altering the counterpart activity mask. 6. A system according to claim 1, in which M out of N processors are active, N - M processors being masked off as inactive while awaiting another program segment, each segment being labelled with a unique identifier, the segment label from the instruction is fetched and the minimum label number k is determined in the set of all N segments waiting execution by both the active and inactive processors, and all processors seeking to execute segment k being unmasked and the remaining processors being masked, this step being taken in over-lap relation such that at the end of the execution of segments k, another mask and branch operation (ELSE) will be executed and the next segment ascertained.

Inventors: LORIE, RAYMOND AMAND, STRONG, HOVEY RAYMOND, JR.
Applicants: INTERNATIONAL BUSINESS MACHINES CORPORATION
Application year: 1981
Main classification: G06F9
IPC codes: G06F17, G06F9, G06F15