Abstract:
A single instruction multiple data processing device includes a plurality of processing elements. Each processing element includes an execute mask count register storing a plurality of bits. The writing updated data to registers in each processing element is enabled and disabled in dependence on the multi bit data stored in the execute mask count register.

Description:
FIELD OF THE INVENTION 
     This invention relates to a method and apparatus for management of control flow in a single instruction multiple data (SIMD) processing device. 
     Computing devices are commonly classified into four broad categories
         1. Single Instruction/Single Data (SISD),   2. Multiple Instruction/Single Data (MISD) (an unusual category)   3. Single Instruction/Multiple Data (SIMD), and   4. Multiple Instruction/Multiple Data (MIMD).       

     The first category, SISD, describes the majority of existing computer devices wherein a single instruction stream operates on a single set of data. The fourth, MIMD, describes systems like processor farms and some super-computers, in which N processors (i.e. instructions) can be independently executing on N sets of data. 
     The third category, SIMD, is a blend of the two extremes. A SIMD device generally has a single Control Unit (CU) that interprets an instruction stream and an array of multiple homogeneous parallel Processing Elements (PEs) which operate in lock step under the guidance of the CU. Each PE typically contains an Arithmetic/Logic Unit (ALU), registers, and/or interfaces to memories and/or neighbouring PEs. 
     Many modern CPUs, e.g. x86, and PowerPC, contain instructions that control a SIMD subunit. SIMD systems are used in many applications including computer graphics and multimedia are becoming more common. 
     In each cycle, the CU instructs all PEs to perform the same operation. In effect, each PE is running the same program and, moreover, the same line of code as the other PEs except with different data. This leads to some interesting control flow issues. For example, consider the following pseudo code with a simple IF-THEN-ELSE construct: 
     
       
         
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
           
               
                   
                   
               
             
             
               
                   
                 CodeBlock_1; 
               
               
                   
                 IF (condition_1) THEN 
               
             
          
           
               
                   
                 CodeBlock_2; 
               
             
          
           
               
                   
                 ELSE 
               
             
          
           
               
                   
                 CodeBlock_3; 
               
             
          
           
               
                   
                 ENDIF 
               
               
                   
                 CodeBlock_4; 
               
               
                   
                   
               
             
          
         
       
     
     Since each PE is executing the same instruction, we have a dilemma when we reach the ‘IF’ statement. For example, let&#39;s assume that ‘condition_ 1 ’ is a test of the value of a local PE data register value. For PE j  ‘condition_ 1 ’ may evaluate to ‘true’ requiring execution of ‘CodeBlock_ 2 ’ but not ‘CodeBlock_ 3 ’, whereas on PE k  the converse may apply. 
     A prior art solution is to include a feature know as ‘masking’. Each PE includes a Boolean ‘Enable Register’, ER, ‘ 13 ’, such that, if the enable register is ‘false’, writings to data registers within the PE are disabled. The simple example given above is thus re-encoded as: 
     
       
         
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
           
               
                   
                   
               
             
             
               
                   
                 CodeBlock_1; 
               
               
                   
                 ER := condition_1; 
               
             
          
           
               
                   
                 CodeBlock_2; 
               
             
          
           
               
                   
                 ER := NOT ER; 
               
             
          
           
               
                   
                 CodeBlock_3; 
               
             
          
           
               
                   
                 ER := TRUE; 
               
               
                   
                 CodeBlock_4; 
               
               
                   
                   
               
             
          
         
       
     
     In the case of PE j , ‘CodeBlock_ 3 ’ is processed but is completely harmless because it is not allowed to update any storage register as the associated ER has been set to ‘false’ in that part of the code. Note, however, that this was a particularly simple example and it will become clear that more complicated and/or nested control-flow code requires more careful coding. 
     There are several forms of other structured, control-flow constructs commonly found in modern programming languages, such as ‘C’. A very brief summary of some of these constructs now follows: 
     Nesting: 
     Control flow constructs can be nested, i.e., one may be embedded within another. A simple example, using nested ‘IF’ constructs, is . . . 
                                                                                                         IF (condition_1) THEN                CodeBlock_1;           IF (condition_2) THEN                CodeBlock_2;                ENDIF                ELSE                CodeBlock_3;                ENDIF                        
‘CodeBlock_ 2 ’ will only run if both ‘condition_ 1 ’ and then ‘condition_ 2 ’ pass. Note that ‘CodeBlock_ 3 ’ will not ‘execute’ if we have reached either ‘CodeBlock_ 1 ’ or ‘CodeBlock_ 2 ’.
 
Multi-way IF-THEN-ELSIF-ELSE:
 
     Although IF-THEN-ELSE can be nested to produce complex decisions, sometimes it is preferable to express them as chains of the following form: 
     
       
         
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
           
               
                   
                   
               
             
             
               
                   
                 IF (condition_1) THEN 
               
             
          
           
               
                   
                 CodeBlock_1; 
               
             
          
           
               
                   
                 ELSIF (condition_2) THEN 
               
             
          
           
               
                   
                 CodeBlock_2; 
               
             
          
           
               
                   
                 ELSIF (condition_3) THEN 
               
             
          
           
               
                   
                 CodeBlock_3; 
               
             
          
           
               
                   
                 ELSE 
               
             
          
           
               
                   
                 CodeBlock_4; 
               
             
          
           
               
                   
                 ENDIF 
               
               
                   
                   
               
             
          
         
       
     
     Note that this is more convenient to express than the functionally equivalent . . . 
                                                                                                                                                                     IF (condition_1) THEN                CodeBlock_1;                ELSE                IF (condition_2) THEN                CodeBlock_2;                ELSE                IF (condition_3) THEN                CodeBlock_3;                ELSE                CodeBlock_4;                ENDIF                ENDIF                ENDIF                        
Loops:
 
     A pre-tested loop, e.g. while-loop, takes the form . . . 
     
       
         
               
               
             
               
               
             
               
               
             
           
               
                   
                   
               
             
             
               
                   
                 CodeBlock_1; 
               
               
                   
                 WHILE (condition_1) DO 
               
             
          
           
               
                   
                 CodeBlock_2; 
               
             
          
           
               
                   
                 ENDWHILE 
               
               
                   
                 CodeBlock_3; 
               
               
                   
                   
               
             
          
         
       
     
     In this example, if after executing ‘CodeBlock_ 1 ’, ‘condition_ 1 ’ is ‘true’, ‘CodeBlock_ 2 ’ will be executed. The condition will then be retested and if still ‘true’, ‘CodeBlock_ 2 ’ will be re-executed. This process repeats until the condition fails, after which ‘CodeBlock_ 3 ’ is run. A simple variation, the post-tested loop, does not perform the first conditional test so that ‘CodeBlock_ 2 ’ is always executed at least once. 
     Loops with ‘breakloop’ and ‘continueloop’: 
     Loops may be augmented by the use of ‘breakloop’ and/or ‘continueloop’ statements. If a ‘breakloop’ is encountered within a loop, it is as if the loop is instantly terminated at that point—all subsequent instructions inside the (innermost) loop are skipped and control proceeds to the instruction following the loop. A coding example is given below: 
     
       
         
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
           
               
                   
                   
               
             
             
               
                   
                 WHILE (condition_1) DO 
               
             
          
           
               
                   
                 CodeBlock_1; 
               
               
                   
                 IF(condition_2) THEN 
               
             
          
           
               
                   
                 CodeBlock_2; 
               
               
                   
                 BREAKLOOP; 
               
             
          
           
               
                   
                 ENDIF 
               
               
                   
                 CodeBlock_3; 
               
             
          
           
               
                   
                 ENDWHILE 
               
               
                   
                 CodeBlock_4; 
               
               
                   
                   
               
             
          
         
       
     
     After executing ‘CodeBlock_ 1 ’, if ‘condition_ 2 ’ is ‘false’, ‘CodeBlock_ 3 ’ will be executed and the loop condition will be retested. If, on the other hand, ‘condition_ 2 ’ is true, ‘CodeBlock_ 2 ’ will be run, the ‘breakloop’ command encountered, and control then passes immediately to ‘CodeBlock_ 4 ’. 
     The ‘continueloop’ statement skips the remaining instructions inside the loop body but does not terminate the loop. Instead, it continues to the next iteration. If we replace ‘breakloop’ with ‘continueloop’ in the above example, then after encountering ‘continueloop’, control would proceed to the start of loop, retesting ‘condition_ 1 ’ etc. 
     Note that the breakloop and continueloop statements could be extended so that they refer not to the most deeply nested loop but to some outer parent loop. 
     Return and Exit commands: 
     Related to the ‘breakloop’ construct, some languages employ a ‘return’ statement to indicate that a procedure is to terminate early and return to the parent function. An ‘exit’ command is even more drastic in that it terminates the current process—this is occasionally used in error handling. 
     Case construct: 
     A case statement is a variation on IF-THEN-ELSE that is used to execute different sections of code depending on the value of a single expression. A typical example is . . . 
     
       
         
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
           
               
                   
                   
               
             
             
               
                   
                 CASE (Expression_1) 
               
             
          
           
               
                   
                 WHEN Constant_A: 
               
               
                   
                 WHEN Constant_B: 
               
             
          
           
               
                   
                 CodeBlock_1; 
               
               
                   
                 DONE; 
               
             
          
           
               
                   
                 WHEN Constant_C: 
               
             
          
           
               
                   
                 CodeBlock_2; 
               
               
                   
                 /*note no DONE*/ 
               
             
          
           
               
                   
                 WHEN Constant_D: 
               
             
          
           
               
                   
                 CodeBlock_3; 
               
               
                   
                 DONE; 
               
             
          
           
               
                   
                 DEFAULT: 
               
             
          
           
               
                   
                 CodeBlock_4; 
               
               
                   
                 DONE; /*redundant*/ 
               
             
          
           
               
                   
                 ENDCASE; 
               
               
                   
                   
               
             
          
         
       
     
     In the above example, if ‘Expression 13    1 ’ evaluates to either ‘Constant_A’ or ‘Constant_B’, then ‘CodeBlock_ 1 ’ will be executed. ‘DONE’, following ‘CodeBlock_ 1 ’, indicates that the case statement should now terminate. If, on the other hand, the expression evaluates to ‘Constant_C’, ‘CodeBlock_ 2 ’ is executed. Because there is no ‘DONE’ at the end of this section, execution continues with ‘CodeBlock_ 3 ’. The ‘DEFAULT’ case is chosen if the expression does not match any of the listed values. 
     Recursion: 
     This final construct describes when a section of code references itself. This is a common feature of modern computer languages and can be found described in most textbooks. To support such a feature generally requires a program stack to save the program counter and other associated state. 
     In the prior art, one way of handling complex conditional code is to explicitly write instructions for the CU that directs each PE to compute the appropriate ER value. Intermediate values are then stored, say, in local program registers in each PE. This is certainly extremely flexible but requires many additional instructions that are likely to decrease performance. 
     In “A SIMD Graphics Processor”, (Computer Graphics (Proceedings of SIGGRAPH 84), 18(3) pp 77-82, July 1984), Levinthal and Porter enhance the ER control flag by adding a ‘run flag stack’, consisting of a ‘stack’ of bit registers. The addition of instructions to push and pop values between the stack and the ER allows very easy implementation of some forms of nested conditional code. The CHAP control unit is also enhanced so that it includes a means of testing if all ER values are ‘false’. This, for example, allows the efficient implementation of a ‘while’ loop across all the PEs. In particular, whenever an individual PE ‘fails the loop test’, it merely sets its ER to ‘false’ since loop iterations must continue if other PEs are not disabled. A special conditional branch instruction, which uses the test for when ERs are false, allows the CU to jump to the instruction after the end of the loop once all PEs have completed the loop. 
     Although the ‘run flag stack’ enhancement is a powerful construct that other systems have also later used—it is not without some shortcomings. Firstly, some of the above forms of control, such as ‘continueloop’, are not easily supported because only the ER bit is directly accessible. Secondly, if the depth of the stack is N, (i.e. N bits of storage per PE), the maximum nesting depth of control is limited to only ˜N levels. 
     A variation on Levinthal and Porter&#39;s method is presented by WO 0246885 (Redford) . In this system, the stack is replaced by a counter value. When an ER value is ‘saved’, the stored counter value is incremented whenever the ER is ‘false’. Otherwise, the stored counter is not modified. When ‘restoring’, if the counter value is (for the sake of argument) non-zero, the counter is decremented and ER is set to ‘false’. Otherwise, the counter is left unmodified and ER is set to ‘true’. This improves the method of Levinthal et al in that the guaranteed safe maximum level of conditional nesting is ˜2 N  for an N bit counter, albeit at the cost of additional increment and decrement units. Since it is only, in effect, a form of data compression of the stack, it still has the exactly the same issues with some common control operations. 
     The execution process is complex and requires special hardware which can search through the priority codes of all inactive PEs to find those with the least priority. When the system reaches the end of a block, it uses the above hardware to identify and run the block of code with the least priority value (disabling all other PEs in the process). 
     This system can handle some rather arbitrary conditional code, including arrangements sometimes termed ‘spaghetti code’. However, due to the static pre-analysis of the source code, this method can handle recursion. Furthermore, while the search hardware for locating the least priority value may be tolerable for a very small numbers of PEs, it is likely to become very expensive and/or have a large timing latency with even moderate numbers of PEs. 
     Preferred embodiments of the invention are relatively inexpensive to implement, even with large numbers of PEs, yet allow for easy support of virtually all the common forms of control flow constructs used in ‘structured programming’. It avoids the control limitations and/or costs with the prior art as described above, and it does not need significant pre-processing of the source code, thus simplifying the compilation process. 
     We have appreciated that, by extending the single bit ER flag to multiple bits, being able to test for a small number of pre-determined values of those bits, and by including a small set of control-flow instructions, a means of efficiently managing control flow on a SIMD processor can be achieved. Note that this differs from the prior art which uses a single bit ER flag to control instruction execution and where management of this flag is done with auxiliary structures, either explicit local registers, stack, counter, or a priority value. 
     In accordance with an embodiment of the invention there is provided a single instruction multiple data processing device (SIMD) comprising a plurality of processing elements (PE), each PE including an execute mask count (EMC) register for storing a plurality of bits, means for enabling and disabling writing of data to registers in the PE in dependence on multi-bit data stored in the EMC register. 
     In accordance with an embodiment of the invention there is provided a method for controlling program flow on a SIMD comprising a plurality of PEs, comprising the steps of, supplying a sequence of instructions and data to the PEs, executing the instructions on the PEs, enabling and disabling writing of data to registers in each PE in dependence on a multi-bit data value stored in an EMC register on each PE, and modifying the multi-bit value in the EMC register of each PE when the writing of data to registers on that PE is disabled and the writing of data to registers in other PEs is enabled. 
    
    
     
       BRIEF DESCRIPTION OF THE DRAWINGS 
       Preferred embodiments of the invention will now be described in detail by way of example with reference to the accompanying diagrams in which: 
         FIG. 1  shows a typical arrangement of a SIMD device; 
         FIG. 2  shows a very broad overview of the new invention; 
         FIG. 3  is a flowchart of a preferred embodiment&#39;s CondStart instruction; 
         FIG. 4  is a flowchart of a preferred embodiment&#39;s CondElsif instruction; 
         FIG. 5  is a flowchart of a preferred embodiment&#39;s CondSetMask instruction; 
         FIG. 6  is a flowchart of a preferred embodiment&#39;s CondLoopTest instruction; 
         FIG. 7  is a flowchart of a preferred embodiment&#39;s CondEnd instruction; 
         FIG. 8  shows an overview of the logic used to control the enabling/disabling of PEs in response to control flow instructions in an embodiment of the invention; and 
         FIG. 9  is a flowchart of a subset of the logic of  FIG. 8 . 
     
    
    
     DETAILED DESCRIPTION 
     Two specific embodiments of the invention will be described here. The first is the more straightforward to describe and so better illustrates the behaviour of the invention. The second embodiment details an improved method of encoding some of the values used which result in a reduction of the hardware implementation cost. 
     With reference to  FIG. 2 , in the first embodiment the ER flag of the prior art in each PE is replaced with a multi-bit “Execute Mask Count” register or EMC  20 . Each EMC has an associated test logic unit  21 , which can report when the EMC is one of several predefined values—these pre-defined tests are for example ‘EMC is zero’, ‘EMC=1’, and ‘EMC=2’. Other values are possible. A set of signals per PE  22 , including the results of the associated pre-defined EMC tests, is fed to the CU. The purpose of these signals will be described in detail later. 
     The EMC is used to disable/enable the writing-back of instruction results to internal PE registers: when the value is ‘zero’, the writing-back is enabled and is disabled for all non-zero values. Note that, unlike the prior art, this is a test of all the bits in the EMC register. 
     At the start of a program or process, all EMCs are initialised to predetermined values. These values are usually chosen to be zeros thus initially enabling all PEs. 
     Instructions 
     In the preferred embodiments, five additional control instructions are defined to support structured control flow. These instructions are . . . 
     
       
         
               
               
               
             
           
               
                   
                   
               
             
             
               
                   
                 CondStart, 
                 Conditional Start 
               
               
                   
                 CondElseIf, 
                 Conditional ELSE IF 
               
               
                   
                 CondSetMask, 
                 Conditional SET MASK 
               
               
                   
                 CondLoopTest, and 
                 Conditional LOOP TEST 
               
               
                   
                 CondEnd. 
                 Conditional END 
               
               
                   
                   
               
             
          
         
       
     
     Note, however, that variations of these instructions (e.g. additional or modifications to) will be apparent to one skilled in the art. 
     Each control instruction has two or three ‘immediate data’ fields that are used to parameterise that instruction&#39;s behaviour, which will shortly be described using a pseudo-code format. It should be noted that this is done for clarity and may not be the most efficient for direct hardware implementation. A more hardware friendly implementation will be described later but other alternatives will be apparent to one skilled in the art. Examples on how to utilise these to implement control flow then follow these descriptions. 
     1) CondStart (condition, MaskAdjustAmount, JumpTarget) 
     The CondStart instruction will be used to start most control flow blocks, and takes three fields. The first, ‘condition’, refers to some Boolean test that can be performed by the PE&#39;s ALU. For simplicity of description in the embodiment, this will just be a test of ‘condition codes’ (e.g. ‘is negative’, ‘not zero’, or ‘True’) as commonly seen in CPU instruction sets, but those skilled in the art will be able to envision other possibilities. 
     The second field, MaskAdjustAmount, describes how to adjust the local EMC value. In the preferred embodiments, this needs only be a choice of two possible values, ‘1’ or ‘2’. The final field, JumpTarget, is used to alter the CU&#39;s program counter when certain conditions are met. 
     Briefly, for each PE, if the condition test fails or the EMC is non-zero, then the EMC is adjusted/incremented by the MaskAdjustAmount. If all EMCs are non-zero, the CU jumps to the instruction indicated by JumpTarget. 
     The behaviour of the instruction is summarised concisely by the following pseudo-code: 
     
       
         
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
           
               
                   
                   
               
             
             
               
                   
                 CondStart( condition, MaskAdjustAmount, JumpTarget) 
               
               
                   
                 BEGIN 
               
             
          
           
               
                   
                 /* 
               
               
                   
                 // PE Processing 
               
               
                   
                 */ 
               
               
                   
                 FOR P in ALL_PEs DO 
               
             
          
           
               
                   
                 IF ((P.condition !=TRUE) OR 
               
             
          
           
               
                   
                 (P.ExecuteMaskCount != 0)) THEN 
               
             
          
           
               
                   
                 P.ExecuteMaskCount+= 
               
             
          
           
               
                   
                 MaskAdjustAmount; 
               
             
          
           
               
                   
                 ENDIF 
               
             
          
           
               
                   
                 ENDFOR 
               
               
                   
                 /* 
               
               
                   
                 // Branch processing. 
               
               
                   
                 */ 
               
               
                   
                 IF All_PEs (ExecuteMaskCount != 0) THEN 
               
             
          
           
               
                   
                 jump JumpTarget 
               
             
          
           
               
                   
                 ENDIF 
               
             
          
           
               
                   
                 END 
               
               
                   
                   
               
             
          
         
       
     
     The behaviour is also given diagrammatically in  FIG. 3 . In step  100 , the instruction begins by examining the ‘first’ PE. Step  101  checks if we have examined all PEs and will proceed to step  102 . Here it tests the condition requested in the instruction against the state of the PE and also examines the EMC value. If the condition evaluates to FALSE or the EMC value is nonzero, then the processing proceeds to step  103 , whereupon the EMC is incremented by the ‘mask adjust amount’ as specified in the instruction. It then goes to step  104 . If at step  102  the test takes the ‘NO’ path, then it also proceeds to step  104 . 
     At step  104  instruction advances to the next PE (if any) and back to step  101 . When all PEs have been processed by  102  and  103 , it proceeds to step  110 . If there are some PEs that still have a zero EMC value, the Program counter is advanced, in the standard fashion, to the next instruction  111 . Otherwise, if all PEs are currently disabled, i.e. all EMCs≠0, then the instruction branches to the ‘Jump target’, in step  112 . 
     2) CondElseIf (condition, MaskAdjustAmount, JumpTarget) 
     The CondElseIf instruction is primarily used for else/elseif clauses as well as for implementing continueloop and breakloop statemements. It takes the same three parameters as CondStart. The functionality is . . . 
     
       
         
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
           
               
                   
                   
               
             
             
               
                   
                 CondElseIf( condition, MaskAdjustAmount, JumpTarget) 
               
               
                   
                 BEGIN 
               
             
          
           
               
                   
                 /* 
               
               
                   
                 // PE Processing 
               
               
                   
                 */ 
               
               
                   
                 FOR P in ALL_PEs DO 
               
             
          
           
               
                   
                 IF (P.ExecuteMaskCount == 0) THEN 
               
             
          
           
               
                   
                 P.ExecuteMaskCount := 
               
             
          
           
               
                   
                 MaskAdjustAmount; 
               
             
          
           
               
                   
                 ELSIF (P.condition AND 
               
             
          
           
               
                   
                 (P.ExecuteMaskCount == 1)) 
               
             
          
           
               
                   
                 P.ExecuteMaskCount = 0; 
               
             
          
           
               
                   
                 ENDIF 
               
             
          
           
               
                   
                 ENDFOR 
               
               
                   
                 /* 
               
               
                   
                 // Branch processing. 
               
               
                   
                 */ 
               
               
                   
                 IF All_PEs (ExecuteMaskCount != 0) THEN 
               
             
          
           
               
                   
                 jump JumpTarget 
               
             
          
           
               
                   
                 ENDIF 
               
             
          
           
               
                   
                 END 
               
               
                   
                   
               
             
          
         
       
     
     This functionality is also shown in  FIG. 4 . Steps  100 ,  101 ,  104 ,  110 ,  111 , and  112  are identical to those as described previously. In step  120 , which replaces step  103 , the EMC is tested for equality to zero and, if so, the EMC is set to the instruction&#39;s ‘MaskAdjustAmount’  121 , and control proceeds to step  104 . If the EMC is non-zero in step  120 , then in step  122  the EMC is tested for equality to 1, and the condition is tested. If either of these tests fail, control again proceeds to step  104 . If both pass, in step  123 , the EMC value is set to zero, and control once more proceeds to step  104 . 
     3) CondSetMask (condition, MaskAdjustAmount, JumpTarget) 
     This instruction can be used for breakloops/continueloops, early returns, and exits. The instruction behaves as follows . . . 
     
       
         
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
           
               
                   
                   
               
             
             
               
                   
                 CondSetMask( condition, MaskAdjustAmount, JumpTarget) 
               
               
                   
                 BEGIN 
               
             
          
           
               
                   
                 /* 
               
               
                   
                 // PE Processing 
               
               
                   
                 */ 
               
               
                   
                 FOR P in ALL_PEs DO 
               
             
          
           
               
                   
                 IF ( (P.condition==TRUE) AND 
               
             
          
           
               
                   
                 (P.ExecuteMaskCount == 0) ) THEN 
               
             
          
           
               
                   
                 P.ExecuteMaskCount = 
               
             
          
           
               
                   
                 MaskAdjustAmount; 
               
             
          
           
               
                   
                 ENDIF 
               
             
          
           
               
                   
                 ENDFOR 
               
               
                   
                 /* 
               
               
                   
                 // Branch processing. 
               
               
                   
                 */ 
               
               
                   
                 IF All_PEs (ExecuteMaskCount != 0) THEN 
               
             
          
           
               
                   
                 jump JumpTarget 
               
             
          
           
               
                   
                 ENDIF 
               
             
          
           
               
                   
                 END 
               
               
                   
                   
               
             
          
         
       
     
     This behaviour is also summarised in  FIG. 5 . This is almost identical in behaviour to CondStart (i.e.  FIG. 3 ) except that steps  102  and  103  been replaced by steps  130  and  131 , respectively. In step  130 , the EMC is tested for equality to zero, and if this is the case and the condition is true, then it proceeds to step  131 , whereupon the EMC is set to the MaskAdjustAmount specified in the instruction. If the test in  130  fails, the control passes to step  104  as before. 
     4) CondLoopTest (condition, MaskAdjustAmount, JumpTarget) 
     This is used at the end of a loop structure for both pre- and post-tested loops. In the preferred embodiments, the MaskAdjustAmount is again restricted to values of 1 or 2. 
     
       
         
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
           
               
                   
                   
               
             
             
               
                   
                 CondLoopTest(condition, MaskAdjustAmount, JumpTarget) 
               
               
                   
                 BEGIN 
               
             
          
           
               
                   
                 BOOL ExitLoop = TRUE; 
               
               
                   
                 /* 
               
               
                   
                 // PE Processing - determine if any PEs are 
               
             
          
           
               
                   
                 active 
               
             
          
           
               
                   
                 */ 
               
               
                   
                 FOR P in ALL_PEs DO 
               
             
          
           
               
                   
                 IF ( (P.Condition == TRUE) AND 
               
             
          
           
               
                   
                 (P.ExecuteMaskCount == 0) ) THEN 
               
             
          
           
               
                   
                 ExitLoop = FALSE; 
               
             
          
           
               
                   
                 ENDIF 
               
             
          
           
               
                   
                 ENDFOR 
               
               
                   
                 /* If we should exit the loop */ 
               
               
                   
                 IF (ExitLoop) THEN 
               
             
          
           
               
                   
                 FOR P in ALL_PEs DO 
               
             
          
           
               
                   
                 IF (P.ExecuteMaskCount &gt; 
               
             
          
           
               
                   
                 MaskAdjustAmount) THEN 
               
             
          
           
               
                   
                 P.ExecuteMaskCount −= 
               
             
          
           
               
                   
                 MaskAdjustAmount; 
               
             
          
           
               
                   
                 ELSE 
               
             
          
           
               
                   
                 P.ExecuteMaskCount = 0; 
               
             
          
           
               
                   
                 ENDIF 
               
             
          
           
               
                   
                 ENDFOR 
               
             
          
           
               
                   
                 /*else if we should continue iterating */ 
               
               
                   
                 ELSE 
               
             
          
           
               
                   
                 FOR P in ALL_PEs DO 
               
             
          
           
               
                   
                 IF (P.Condition == FALSE) AND 
               
             
          
           
               
                   
                 (P.ExecuteMaskCount == 0) THEN 
               
             
          
           
               
                   
                 P.ExecuteMaskCount = 
               
             
          
           
               
                   
                 MaskAdjustAmount; 
               
             
          
           
               
                   
                 ENDIF 
               
             
          
           
               
                   
                 ENDFOR 
               
               
                   
                 jump JumpTarget; 
               
             
          
           
               
                   
                 ENDIF 
               
             
          
           
               
                   
                 END 
               
               
                   
                   
               
             
          
         
       
     
     Once again, the form of the above description is intended for clarity. For efficiency, a hardware implementation may use a different arrangement. 
     This behaviour is shown in  FIG. 6 . The first step  140  is to set the Boolean Flag, ‘ExitLoop’ to True, and then proceeds to step  100 . It should be noted that steps  100 ,  101 , and  104  perform the same functions as described in the previous instructions. If still processing PEs after step  101 , the method proceeds to step  141 . If any PE indicates that it still needs to execute, i.e., Condition is True and the EMC is zero, then proceeds to step  142 , or otherwise proceeds to  104 . In step  142 , the ExitLoop Boolean value is set to False. 
     Once step  101  determines that all PEs have been tested, control proceeds to step  143  which examines the ExitLoop flag—if False, control proceeds to step  150 , or otherwise it proceeds to step  160 . Step  150  starts another iteration pass through the PEs followed by step  151  detecting when the iteration has completed. When processing a particular PE, step  152  determines if that PE has just terminated its loop, i.e. EMC=0 and Condition is False. If this is not the case, control passes to step  154 , or otherwise to step  153 . In step  153 , the MaskAdjustAmount is added to the EMC value, and control proceeds to step  154  which moves on to the next PE, and subsequently to step  151 . If step  151  indicates that the all PEs have been processed, step  155  sets the CU program counter to be the “Jump Target”. 
     When step  160  is chosen, it also starts a different iteration pass through the PEs with step  161  determining when all PEs have been processed. In step  162 , a PE&#39;s EMC value is examined and if this is less than (or equal to) the MaskAdjustAmount, the EMC is set to zero  163 , or otherwise the value is subtracted from the EMC  164 . Control then continues to step  165  which progresses to the next PE. When step  161  determines all PEs have been processed, step  166  advances the CU program counter to the next instruction. 
     5) CondEnd (MaskAdjustAmount, JumpTarget) 
     The final instruction is used at the end of a control flow instruction. It behaves as follows: 
     
       
         
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
           
               
                   
                   
               
             
             
               
                   
                 CondEnd(MaskAdjustAmount, JumpTarget) 
               
               
                   
                 BEGIN 
               
             
          
           
               
                   
                 /* 
               
               
                   
                 // PE Processing 
               
               
                   
                 */ 
               
               
                   
                 FOR P in ALL_PEs DO 
               
             
          
           
               
                   
                 IF ( (P.ExecuteMaskCount &gt; 
               
             
          
           
               
                   
                 MaskAdjustAmount) ) THEN 
               
             
          
           
               
                   
                 P.ExecuteMaskCount −= 
               
             
          
           
               
                   
                 MaskAdjustAmount; 
               
             
          
           
               
                   
                 ELSE 
               
             
          
           
               
                   
                 P.ExecuteMaskCount = 0; 
               
             
          
           
               
                   
                 ENDIF 
               
             
          
           
               
                   
                 ENDFOR 
               
               
                   
                 /* 
               
               
                   
                 // Branch processing. 
               
               
                   
                 */ 
               
               
                   
                 IF All_PEs (ExecuteMaskCount != 0) THEN 
               
             
          
           
               
                   
                 jump JumpTarget 
               
             
          
           
               
                   
                 ENDIF 
               
             
          
           
               
                   
                 END 
               
               
                   
                   
               
             
          
         
       
     
     This behaviour is also shown in  FIG. 7 . The behaviour is very similar to that of condstart ( FIG. 3 ) with steps  100 ,  101 ,  104 ,  110 ,  111 , and  112  being identical, but steps  102  and  103  are replaced with  170 ,  171 , and  172  as follows: In step  170  if the EMC value is less than or equal to the MaskAdjustAmount, the EMC is simply set to zero, step  171 , or otherwise the MaskAdjustAmount is subtracted from the EMC, step  172 . 
     In the preferred embodiments, the MaskAdjustAmount is again restricted to values of 1 or 2. 
     Translating Control Flow Constructs 
     The instructions described above are used to implement the control-flow constructs previously described. A few examples will be presented which, although far from exhaustive, should be sufficient to teach these skills in compilers with the simple principles involved. 
     Example: ‘IF’ constructs: 
     A simple if/else statement . . . 
                                                                                     IF (condition_1) THEN                CodeBlock_1;                ELSE                CodeBlock_2;                ENDIF                        
. . . could be translated as . . .
 
     
       
         
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
           
               
                   
                   
               
             
             
               
                   
                 CondStart(condition_1, 1 , ELSE_ADDR); 
               
               
                   
                 CodeBlock_1; 
               
             
          
           
               
                   
                 ELSE_ADDR: 
               
             
          
           
               
                   
                 CondElseIf(TRUE, 1, ENDIF_ADDR); 
               
               
                   
                 CodeBlock_2; 
               
             
          
           
               
                   
                 ENDIF_ADDR: 
               
             
          
           
               
                   
                 CondEnd(1, next_CondEnd_etc); 
               
               
                   
                   
               
             
          
         
       
     
     This behaves as follows: Condstart is executed upon entry to the ‘IF’. Whenever a PE is enabled (EMC=0) and ‘condition_ 1 ’ is ‘true’, ‘CodeBlock_ 1 ’ will be executed. For all other PEs, the EMC is incremented by MaskAdjustAmount, i.e. ‘+1’. If there are no active PEs, then the CU branches immediately to ELSE_ADDR, thus skipping all the instructions in ‘CodeBlock_ 1 ’. 
     At ELSE_ADDR, the CondElseIf will set any enabled PEs to ‘disabled’, and enable any PE that only failed ‘condition_ 1 ’ (i.e., those with EMC=1). 
     At the end of the ‘IF’, the original EMC values are restored by the CondEnd instruction. 
     An ‘IF’ with ‘ELSIF’ clauses is slightly more involved. For example, the following pseudo code . . . 
                                                                                                                             IF (condition_1) THEN                CodeBlock_1;                ELSIF (condition_2) THEN                CodeBlock_2;                ELSIF (condition_3) THEN                CodeBlock_3;                ELSE                CodeBlock_4;                ENDIF                        
. . . would be translated as follows
 
     
       
         
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
           
               
                   
                   
               
             
             
               
                   
                 ; 
               
               
                   
                 ;Reserve 2 values for operating the ELSEIFs 
               
               
                   
                 ; 
               
               
                   
                 CondStart(TRUE, 2 , somewhere_after_endif); 
               
               
                   
                 ; 
               
               
                   
                 ;Perform the first test 
               
               
                   
                 ; 
               
               
                   
                 CondSetMask (NOT condition_1, 1, TEST2_ADDR); 
               
               
                   
                 CodeBlock_1; 
               
             
          
           
               
                   
                 TEST2_ADDR: 
               
             
          
           
               
                   
                 CondElseIf(condition_2, 2, TEST3_ADDR) 
               
               
                   
                 CodeBlock_2; 
               
             
          
           
               
                   
                 TEST3_ADDR: 
               
             
          
           
               
                   
                 CondElseIf(condition_3, 2, ELSE_ADDR) 
               
               
                   
                 CodeBlock_3; 
               
             
          
           
               
                   
                 ELSE_ADDR: 
               
             
          
           
               
                   
                 CondElseIf(TRUE, 2, ENDIF_ADDR) 
               
               
                   
                 CodeBlock_4; 
               
             
          
           
               
                   
                 ENDIF_ADDR: 
               
             
          
           
               
                   
                 CondEnd(2, next_CondEnd_etc); 
               
               
                   
                   
               
             
          
         
       
     
     With this code, once any PE that was enabled at the start of the conditional loop has executed a section of code, its EMC will be set to 2. Any that has not yet satisfied a test has an EMC of 1. 
     It is possible to create an alternative embodiment wherein a modified CondElseIf instruction has two ‘branch addresses’ so that it can perform even more ‘short circuiting’ of the conditional code. 
     Example: Loop constructs: 
     A simple ‘while’ statement . . . 
                                                                 WHILE (condition_1) DO                CodeBlock_1;                ENDWHILE                        
. . . could be translated as . . .
 
     
       
         
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
           
               
                   
                   
               
             
             
               
                   
                 CondStart(condition_1, 1 , ENDWHILE_ADDR); 
               
             
          
           
               
                   
                 LOOPSTART_ADDR: 
               
             
          
           
               
                   
                 CodeBlock_1; 
               
             
          
           
               
                   
                 ENDWHILE_ADDR: 
               
             
          
           
               
                   
                 CondLoopTest(condition_1, 1, LOOPSTART_ADDR); 
               
               
                   
                   
               
             
          
         
       
     
     To support loops with ‘breakloop’ and ‘continueloop’ functionality, e.g . . . 
     
       
         
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
           
               
                   
                   
               
             
             
               
                   
                 WHILE (condition_1) DO 
               
             
          
           
               
                   
                 CodeBlock_1; 
               
               
                   
                 IF (condition_2) THEN 
               
             
          
           
               
                   
                 CodeBlock_2; 
               
               
                   
                 CONTINUELOOP; 
               
             
          
           
               
                   
                 ENDIF; 
               
               
                   
                 CodeBlock_3; 
               
               
                   
                 IF (condition_3) THEN 
               
             
          
           
               
                   
                 CodeBlock_4; 
               
               
                   
                 BREAKLOOP; 
               
             
          
           
               
                   
                 ENDIF; 
               
               
                   
                 CodeBlock_5; 
               
             
          
           
               
                   
                 ENDWHILE 
               
               
                   
                   
               
             
          
         
       
     
     . . . the initial ‘MaskAdjustAmount’ is instead set to ‘2’ allowing for both ‘continueloop’ and ‘breakloop’ states to be monitored. For example: 
     
       
         
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
           
               
                   
                   
               
             
             
               
                   
                 CondStart(condition_1, 2 , ENDWHILE_ADDR); 
               
             
          
           
               
                   
                 LOOPSTART_ADDR: 
               
             
          
           
               
                   
                 CodeBlock_1; 
               
               
                   
                 ; 
               
               
                   
                 ; IF (condition_2) THEN ... 
               
               
                   
                 ; 
               
               
                   
                 CondStart(condition_2, 1, ENDIF_1_ADDR); 
               
             
          
           
               
                   
                 CodeBlock_2; 
               
               
                   
                 /*Continueloop: set EMC to IF Masking + 1, 
               
             
          
           
               
                   
                 i.e. 2*/ 
               
             
          
           
               
                   
                 CondSetMask (TRUE, 2, ENDIF_1_ADDR); 
               
             
          
           
               
                   
                 ENDIF_1_ADDR: 
               
             
          
           
               
                   
                 CondEnd(1, CONTINUE_ADDR); 
               
               
                   
                 CodeBlock_3; 
               
               
                   
                 ; 
               
               
                   
                 ; IF (condition_3) THEN ... 
               
               
                   
                 ; 
               
               
                   
                 CondStart(condition_3, 1, ENDIF_2_ADDR); 
               
             
          
           
               
                   
                 CodeBlock_4; 
               
               
                   
                 /*Breakloop: set EMC to IF Masking + 2, 
               
             
          
           
               
                   
                 i.e. 3*/ 
               
             
          
           
               
                   
                 CondSetMask (TRUE, 3, ENDIF_2_ADDR); 
               
             
          
           
               
                   
                 ENDIF_2_ADDR: 
               
             
          
           
               
                   
                 CondEnd(1, CONTINUE_ADDR); 
               
               
                   
                 CodeBlock_5; 
               
             
          
           
               
                   
                 CONTINUE_ADDR: 
               
             
          
           
               
                   
                 ;Re-enable any continueloops for next iteration 
               
               
                   
                 CondElseIf(TRUE, 0, ENDWHILE_ADDR) 
               
             
          
           
               
                   
                 ENDWHILE_ADDR: 
               
             
          
           
               
                   
                 CondLoopTest(condition_1, 1, LOOPSTART_ADDR); 
               
               
                   
                   
               
             
          
         
       
     
     If the breakloop or continueloop is the only code within an ‘if’, a single CondSetMask instruction will suffice for its implemenation. It is also possible to implement enhanced ‘breakloop/continueloop’ commands that control, not just the innermost loop but also a parent loop by increasing the CondSetMask values. 
     Case statements are handled in a very similar manner to the ELSIF code while recursion, up to a maximum value determined by the size of the CU&#39;s program counter stack and the number of bits in the EMC, is automatically handled by the described approach. 
     Hardware Structure 
     A preferred arrangement for the operation of the instructions will now be described with reference to  FIG. 8 . When the CU processes one of the above control flow instructions, the instruction ‘condition’  50 , Operand  51 , MaskAdjustAmount  52 , and Jump Target  53 , fields are extracted. 
     The ‘condition’  50 , is broadcast to all M PE units and tested against specific registers or condition flags  61 . For each PE, a Boolean flag is generated by the tests producing M resulting bits  62 . As described previously, the EMC value  20  for each PE is tested to determine if it matches one of three pre-determined values, i.e., 0, 1, or 2, generating three Boolean flags. Each flag is grouped with the matching values from the other M PEs to create three sets of M bits  63 ,  64 , and  65 , corresponding to ‘Is  0 ’, ‘Is  1 ’, and ‘Is  2 ’. Clearly, a particular bit position, corresponding to one of the M PEs, can only be ‘true’ in at most one of the M bits  63 ,  64 , or  65 . 
     The ‘determine operations’ unit  70  takes the Condition Results  62 , the three sets of EMC value flags  63 ,  64 , or  65 , and the Instruction Operand  51 , and Instruction Mask  52 , and determines how to adjust all the PE EMC values to respond to the instruction. There are six possible operations that can be chosen (ignoring a trivial No-Operation option) These operations are:
         Add 2 to an EMC   Add 1 to an EMC   Clear an EMC to 0   Set an EMC to the instruction&#39;s Mask Adjust Amount  52 ,   Subtract 1 from an EMC   Subtract 2 from an EMC       

     These choices can clearly be encoded with three bits. 
     For any particular instruction, at most one of these operations needs be applied to a particular PE&#39;s EMC and, furthermore, across all the PEs at most only two different operations will be used. The first operation choice, “Operation  1 ”  71 , is encoded with 3 bits and copied to all “EMC Update Units”  76 . An M-bit mask, “Operation  1  Select”  72  indicates which subset of the M EMC Update Units should perform this operation. The EMC update units simply perform the requested operation. 
     Similarly, the second possible operation choice, “Operation  2 ”  73 , is also broadcast to all EMC Update Units, along with another M-bit mask, “Operation  2  Select”  74 , which indicates which of the units should perform the operation. Again, any particular EMC Update Unit will perform, at most, only one of the two operations. 
     In order to perform a “Set EMC to Mask Adjust Amount” command, the mask Adjust Amount  52  is also broadcast to all EMC Update Units. 
     The remaining required function of unit  70  is to determine how the CU should adjust the program counter. If it sets the “Do Branch Flag”  80 , the CU&#39;s “Instruction Fetch Unit”  81 , will update the program counter to begin fetching instructions from the instruction&#39;s “Jump Target”  53 . 
     Details of the behaviour of the “Determine Operations” unit  70 , are now summarised by the following pseudo code. 
     
       
         
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
               
             
               
               
             
               
               
             
               
               
               
             
               
               
             
               
               
             
               
               
             
               
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
               
             
               
               
             
               
               
             
               
               
             
               
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
               
               
             
           
               
                   
                   
               
             
             
               
                   
                 DecideOp( IN BIT ConditionResults[M], // 62 
               
             
          
           
               
                   
                 IN BIT Is0[M], 
               
             
          
           
               
                   
                 // 63 
               
             
          
           
               
                   
                 IN BIT Is1[M], 
               
             
          
           
               
                   
                 // 64 
               
             
          
           
               
                   
                 IN BIT Is2[M], 
               
             
          
           
               
                   
                 // 65 
               
             
          
           
               
                   
                 IN INT Instr_Operand, 
               
             
          
           
               
                   
                 // 51 
               
             
          
           
               
                   
                 IN INT Instr_MaskAdjust, // 
               
             
          
           
               
                   
                 52 
               
             
          
           
               
                   
                 OUT INT Oper_1, 
               
             
          
           
               
                   
                 // 71 
               
             
          
           
               
                   
                 OUT BIT Oper_1_Select[M], // 
               
             
          
           
               
                   
                 72 
               
             
          
           
               
                   
                 OUT INT Oper_2, 
               
             
          
           
               
                   
                 // 73 
               
             
          
           
               
                   
                 OUT BIT Oper_2_Select[M], // 
               
             
          
           
               
                   
                 72 
               
             
          
           
               
                   
                 OUT BIT DoBranch) 
               
             
          
           
               
                   
                 // 80 
               
             
          
           
               
                   
                 BEGIN 
               
             
          
           
               
                   
                 // Set of PEs active after instruction... 
               
               
                   
                 BIT ActivePEs[M]; 
               
               
                   
                 // 
               
               
                   
                 // Determine which PEs will be active 
               
               
                   
                 // 
               
               
                   
                 CASE (Instr_Operand) 
               
             
          
           
               
                   
                 WHEN CondStart: 
               
               
                   
                 WHEN CondLoopTest: 
               
               
                   
                 BEGIN 
               
             
          
           
               
                   
                 ActivePEs := Is0 BIT_AND 
               
             
          
           
               
                   
                 ConditionResults; 
               
             
          
           
               
                   
                 DONE; 
               
             
          
           
               
                   
                 END 
               
               
                   
                 //// 
               
               
                   
                 WHEN CondSetMask: 
               
               
                   
                 BEGIN 
               
             
          
           
               
                   
                 ActivePEs := Is0 BIT_AND 
               
             
          
           
               
                   
                 BIT_NOT(ConditionResults); 
               
             
          
           
               
                   
                 DONE; 
               
             
          
           
               
                   
                 END 
               
               
                   
                 //// 
               
               
                   
                 WHEN CondEnd: 
               
               
                   
                 BEGIN 
               
             
          
           
               
                   
                 IF(Instr_MaskAdjust == 1) THEN 
               
             
          
           
               
                   
                 ActivePEs := Is0 BIT_OR Is1; 
               
             
          
           
               
                   
                 ELSE 
               
             
          
           
               
                   
                 ActivePEs := Is0 BIT_OR Is1 
               
             
          
           
               
                   
                 BIT_OR Is2; 
               
             
          
           
               
                   
                 ENDIF 
               
               
                   
                 DONE; 
               
             
          
           
               
                   
                 END 
               
               
                   
                 //// 
               
               
                   
                 WHEN CondElseIf: 
               
               
                   
                 BEGIN 
               
             
          
           
               
                   
                 IF (MaskAdjustAmount == 0) THEN 
               
             
          
           
               
                   
                 ActivePEs := Is0 BIT_OR (Is1 
               
             
          
           
               
                   
                 BIT_AND ConditionResults); 
               
             
          
           
               
                   
                 ELSE 
               
             
          
           
               
                   
                 ActivePEs := Is1 BIT_AND 
               
             
          
           
               
                   
                 ConditionResults; 
               
             
          
           
               
                   
                 ENDIF 
               
               
                   
                 DONE 
               
             
          
           
               
                   
                 END 
               
             
          
           
               
                   
                 ENDCASE 
               
               
                   
                 // 
               
               
                   
                 // Determine the “Do Branch Flag” (‘80’) 
               
             
          
           
               
                   
                 setting. 
               
             
          
           
               
                   
                 // The decision is reversed for LoopTests 
               
               
                   
                 // 
               
               
                   
                 DoBranch := (ActivePEs == “00000..000”); 
               
               
                   
                 IF(Instr_Operand == CondLoopTest) THEN 
               
             
          
           
               
                   
                 DoBranch := NOT DoBranch; 
               
             
          
           
               
                   
                 ENDIF 
               
               
                   
                 // 
               
               
                   
                 // Decide how to update the EMCs 
               
               
                   
                 // 
               
               
                   
                 CASE(Instr_Operand) 
               
             
          
           
               
                   
                 WHEN CondStart: 
               
               
                   
                 BEGIN 
               
             
          
           
               
                   
                 Oper_1_Select := BIT_NOT ActivePEs; 
               
               
                   
                 Oper_2_Select := “00000..000” 
               
               
                   
                 IF(Instr_MaskAdjust == 1) THEN 
               
             
          
           
               
                   
                 Oper_1 := EMC_ADD_1; 
               
             
          
           
               
                   
                 ELSE 
               
             
          
           
               
                   
                 Oper_1 := EMC_ADD_2; 
               
             
          
           
               
                   
                 ENDIF 
               
               
                   
                 DONE 
               
             
          
           
               
                   
                 END 
               
               
                   
                 ///// 
               
               
                   
                 WHEN CondElseIf: 
               
               
                   
                 BEGIN 
               
             
          
           
               
                   
                 Oper_1_Select := Is0; 
               
             
          
           
               
                   
                 Oper_1 
                 := EMC_SET; 
               
             
          
           
               
                   
                 Oper_2_Select := Is1 BIT_AND 
               
             
          
           
               
                   
                 ConditionResults; 
               
             
          
           
               
                   
                 Oper_2 
                 := EMC_CLEAR; 
               
               
                   
                 DONE 
               
             
          
           
               
                   
                 END 
               
               
                   
                 ///// 
               
               
                   
                 WHEN CondSetMask: 
               
               
                   
                 BEGIN 
               
             
          
           
               
                   
                 Oper_1_Select := Is0 BIT_AND 
               
             
          
           
               
                   
                 ConditionResults; 
               
             
          
           
               
                   
                 Oper_1 
                 := EMC_SET; 
               
             
          
           
               
                   
                 Oper_2_Select := “00000..000”; 
               
               
                   
                 DONE 
               
             
          
           
               
                   
                 END 
               
               
                   
                 ///// 
               
               
                   
                 WHEN CondLoopTest: 
               
             
          
           
               
                   
                 //IF still running the loop 
               
               
                   
                 IF( DoBranch) THEN 
               
             
          
           
               
                   
                 // Disable any additional PEs 
               
               
                   
                 Oper_1_Select := IsZero AND (NOT 
               
             
          
           
               
                   
                 ConditionResults); 
               
             
          
           
               
                   
                 IF(Instr_MaskAdjust == 1) THEN 
               
             
          
           
               
                   
                 Oper_1 := EMC_ADD_1; 
               
             
          
           
               
                   
                 ELSE 
               
             
          
           
               
                   
                 Oper_1 := EMC_ADD_2; 
               
             
          
           
               
                   
                 ENDIF 
               
               
                   
                 Oper_2_Select := “00000..000”; 
               
             
          
           
               
                   
                 //// Else we are exiting the loop 
               
               
                   
                 ELSE 
               
             
          
           
               
                   
                 IF(Instr_MaskAdjust == 1) THEN 
               
             
          
           
               
                   
                 Oper_1_Select := BIT_NOT 
               
             
          
           
               
                   
                 Is0; 
               
             
          
           
               
                   
                 Oper_1 
                 := 
               
             
          
           
               
                   
                 EMC_SUB_1; 
               
             
          
           
               
                   
                 Oper_2_Select := 
               
             
          
           
               
                   
                 “00000..000”; 
               
             
          
           
               
                   
                 ELSE 
               
             
          
           
               
                   
                 // Set ones to zero 
               
               
                   
                 Oper_1_Select := Is0 
               
             
          
           
               
                   
                 BIT_OR Is1; 
               
             
          
           
               
                   
                 Oper_1 
                 := 
               
             
          
           
               
                   
                 EMC_CLEAR; 
               
             
          
           
               
                   
                 //Sub 2 from all values &gt;= 
               
             
          
           
               
                   
                 2 
               
             
          
           
               
                   
                 Oper_2_Select := BIT_NOT 
               
             
          
           
               
                   
                 (Is0 BIT_OR Is1); 
               
             
          
           
               
                   
                 Oper_2 
                 := 
               
             
          
           
               
                   
                 EMC_SUB_2; 
               
             
          
           
               
                   
                 ENDIF 
               
             
          
           
               
                   
                 ENDIF 
               
               
                   
                 DONE 
               
             
          
           
               
                   
                 END 
               
               
                   
                 WHEN CondEnd: 
               
               
                   
                 BEGIN 
               
             
          
           
               
                   
                 IF(Instr_MaskAdjust == 1) THEN 
               
             
          
           
               
                   
                 Oper_1_Select := BIT_NOT Is0; 
               
             
          
           
               
                   
                 Oper_1 
                 := 
               
             
          
           
               
                   
                 EMC_SUB_1; 
               
             
          
           
               
                   
                 Oper_2_Select := “00000..000”; 
               
             
          
           
               
                   
                 ELSE 
               
             
          
           
               
                   
                 // Set ones to zero 
               
               
                   
                 Oper_1_Select := Is0 BIT_OR 
               
             
          
           
               
                   
                 Is1; 
               
             
          
           
               
                   
                 Oper_1 
                 := 
               
             
          
           
               
                   
                 EMC_CLEAR; 
               
             
          
           
               
                   
                 //Sub 2 from all values &gt;= 2 
               
               
                   
                 Oper_2_Select := BIT_NOT (Is0 
               
             
          
           
               
                   
                 BIT_OR Is1); 
               
             
          
           
               
                   
                 Oper_2 
                 := 
               
             
          
           
               
                   
                 EMC_SUB_2; 
               
             
          
           
               
                   
                 ENDIF 
               
               
                   
                 DONE 
               
             
          
           
               
                   
                 END 
               
             
          
           
               
                   
                 ENDCASE 
               
             
          
           
               
                   
                 END 
               
               
                   
                   
               
             
          
         
       
     
     The above functionality is also illustrated in  FIG. 9 . At step  200 , the current instruction type is tested. If it is either a CondStart or CondLoopTest, then it proceeds to step  210 , or otherwise to step  201 . In step  201 , if it is a CondSetMask instruction, control proceeds to step  211 , or otherwise to step  202 . If in step  202  the instruction is a CondEnd, the control proceeds to step  212 , or otherwise the instruction must be a CondElsif and control proceeds to step  213 . 
     In step  210 , the set of M Boolean Flags, “ActivePEs”, is set to the bitwise AND of the Is 0  flags with the ConditionResults. 
     In step  211 , ActivePEs is set to the be the bitwise AND of the Is 0  flags with the Negation of the ConditionResults. 
     In step  212 , the Instruction&#39;s MaskAdjustAmount is tested. If set to 1, control proceeds to step  214  (it must be 2), or otherwise control proceeds to step  215 . In step  214 , ActivePEs is set to Is 0  or&#39;ed with Is 1 , while in step  215 , ActivePEs is set to Is 0  Is 1  or Is 2 . 
     In step  213 , the Instruction&#39;s MaskAdjustAmount is tested. If set to 0, control passes to step  216 , or otherwise to step  217 . In step  216 , ActivePEs is set Is 0  or&#39;ed with “Is 1  and&#39;ed with ConditionResults”, while in step  217 , ActivePEs is set to Is 1  and&#39;ed with ConditionResults. 
     After steps  210 ,  211 ,  214 ,  215 ,  216 , or  217 , control passes to step  230 , wherein the Boolean Flag “DoBranch” is set to true if ActivePEs is the zero vector, or otherwise it is set to False. 
     In steps  231  and  232 , the instruction type is again tested and, if was a CondLoopTest, the DoBranch signal is inverted. Control passes to step  250 . 
     In step  250 , if the instruction is CondStart, control proceeds to step  260 , or otherwise to step  251  where if the instruction is a CondElsif, control proceeds to step  261 , or otherwise to step  252  where if the instruction is a CondSetMask, control proceeds to step  262 , or otherwise to step  253 . In step  253 , if the instruction is a CondLoopTest, control proceeds to step  263 , or otherwise to step  264 . 
     In step  260 , Oper_ 1  is enabled for all nonactive PEs and Oper_ 2  is disabled, and control passes to step  270 , which tests the instruction&#39;s MaskAdjustAmount. If this is 1, control passes to step  271 , where “EMC Add 1” is chosen as Oper_ 1 , or otherwise control passes to step  272  where “EMC Add 2” is chosen for Oper_ 1 . 
     In step  261 , Oper_ 1  is set to “EMCSet” and is enabled for all PEs with EMC=0. Oper_ 2  is set to “EMC Clear” and is enabled for all PE&#39;s with EMC=1 and Condition which is true. 
     In step  262 , Oper_ 1  is set to “EMCSet” and is enabled for all PEs with EMC=0 and Condition=True. Oper_ 2  is disabled. 
     Step  263  determines if the loop is to continue operation or is to be exited, by examining the DoBranch flag. If DoBranch is True, control proceeds to step  280 , or otherwise to step  264  which also handles the CondEnd code. In step  280 , Oper_ 1  is enabled for all PEs with EMC=0 and whose condition is FALSE, and Oper_ 2  is disabled. Control passes to step  270 . 
     In step  264 , the MaskAdjustAmount is tested—if the value is 1, control passes to step  281 , or otherwise to step  282 . In  281 , Oper_ 1  is set to “EMC Sub 1” and enabled for all PE&#39;s with Non-Zero EMCs, and Oper_ 2  is disabled. 
     In step  282 , Oper_ 1  is set to “EMC Clear” and enabled for all PEs with an EMC of either 0 or 1, and Oper_ 2  is set to “EMC Sub 2” for all other PEs. 
     Second Embodiment 
     In a second preferred embodiment, a saving in hardware cost can be achieved by appreciating that the EMC values do not have to be represented as integers but can use an alternative mathematical group. In particular, this embodiment uses a field based on primitive polynomials modulo  2 . These are frequently used for Linear Feedback Shift Registers, or LFSRs. 
     In this system, the basic values/operations are substituted as follows: 
     
       
         
               
               
               
             
           
               
                   
                   
               
               
                   
                 1st Embodiment&#39;s 
                 Replacement in 2 nd   
               
               
                   
                 Value or Operation 
                 Embodiment 
               
               
                   
                   
               
             
             
               
                   
                 Value of 0 
                 Value of 1 
               
               
                   
                 Add 1 
                 Multiply by 2 mod 
               
               
                   
                   
                 polynomial 
               
               
                   
                 Add 2 
                 Multiply by 4 mod 
               
               
                   
                   
                 polynomial 
               
               
                   
                 Subtract 2 
                 Multiply by ¼ mod 
               
               
                   
                   
                 polynomial 
               
               
                   
                 Subtract 1 
                 Multiply by ½ mod 
               
               
                   
                   
                 polynomial 
               
               
                   
                   
               
             
          
         
       
     
     For a given size of EMC, i.e. M bits, the primitive polynomial is chosen so that it has the minimum possible number of terms. In this embodiment, M is 9, and the chosen primitive polynomial is x 9 +x 5 +1. To implement the replacement for “Add 1” the following pseudo code, which is trivial to translate into a hardware description language such as VHDL, is used: 
     
       
         
               
               
             
               
               
             
               
               
             
               
               
               
             
               
               
             
           
               
                   
                   
               
             
             
               
                   
                 BIT[9] FuncAdd1(BIT In[9]) 
               
             
          
           
               
                   
                 BEGIN 
               
             
          
           
               
                   
                 BIT[9] Out; 
               
               
                   
                 Out[8 downto 1] := In[7 downto 0]; 
               
             
          
           
               
                   
                 Out[0] 
                 := In[8] XOR In[4]; 
               
               
                   
                 Return Out; 
               
             
          
           
               
                   
                 END 
               
               
                   
                   
               
             
          
         
       
     
     The “Sub 1” is replacement is similar: 
     
       
         
               
               
             
               
               
             
               
               
             
               
               
               
             
               
               
               
             
               
               
             
           
               
                   
                   
               
             
             
               
                   
                 BIT[9] FuncSub1(BIT In[9]) 
               
             
          
           
               
                   
                 BEGIN 
               
             
          
           
               
                   
                 BIT[9] Out; 
               
             
          
           
               
                   
                 Out[7 downto 0] 
                 := In[8 downto 1]; 
               
             
          
           
               
                   
                 Out[8] 
                 := In[5] XOR In[0]; 
               
               
                   
                 Return Out; 
               
             
          
           
               
                   
                 END 
               
               
                   
                   
               
             
          
         
       
     
     These functions are used twice to evaluate the “Add 2” and “Sub 2” equivalents. 
     Those skilled in the art will appreciate that these operations are considerably cheaper to implement in hardware and also have the advantage of constant time to evaluate. This compares very favourably with normal integer addition and subtraction which could take linear effort. The extremely minor disadvantage of this system is that only (2 M −1) unique values can be represented (as opposed to 2 M  with integers) but, given the substantial savings in addition/subtraction hardware, M can easily be increased. 
     In alternative embodiments, different sizes of the EMC, with corresponding primitive polynomials, may be used.