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Function (computer programming)

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530:, for example, the branch instructions BAL or BALR, designed for procedure calling, would save the return address in a processor register specified in the instruction, by convention register 14. To return, the subroutine had only to execute an indirect branch instruction (BR) through that register. If the subroutine needed that register for some other purpose (such as calling another subroutine), it would save the register's contents to a private memory location or a register 636:(namely, which have been called but haven't returned yet). Because of the ways in which programs were usually assembled from libraries, it was (and still is) not uncommon to find programs that include thousands of functions, of which only a handful are active at any given moment. For such programs, the call stack mechanism could save significant amounts of memory. Indeed, the call stack mechanism can be viewed as the earliest and simplest method for 1430:– allow multiple callables with the same name in the same scope, but operating on different types of input. Consider the square root function applied to real number, complex number and matrix input. The algorithm for each type of input is different, and the return value may have a different type. By writing three separate callables with the same name. i.e. 337:...the structure of the machine need not be complicated one bit. It is possible, since all the logical characteristics essential to this procedure are available, to evolve a coding instruction for placing the subroutines in the memory at places known to the machine, and in such a way that they may easily be called into use. 1713:
BAL 14, SUBRTN01 go to a subroutine, storing return address in R14 B TABLE(15) use returned value in reg 15 to index the branch table, * branching to the appropriate branch instr. TABLE B OK return code =00 GOOD
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implementations, used two separate stacks, one mainly for control information (like return addresses and loop counters) and the other for data. The former was, or worked like, a call stack and was only indirectly accessible to the programmer through other language constructs while the latter was more
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Compilers for Fortran and other languages could easily make use of these instructions when available. This approach supported multiple levels of calls; however, since the return address, parameters, and return values of a subroutine were assigned fixed memory locations, it did not allow for recursive
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The JSB instruction placed the address of the NEXT instruction (namely, BB) into the location specified as its operand (namely, MYSUB), and then branched to the NEXT location after that (namely, AA = MYSUB + 1). The subroutine could then return to the main program by executing the indirect jump JMP
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is a useful means to simplify some complex algorithms and break down complex problems. Recursive languages provide a new copy of local variables on each call. If the programmer desires the recursive callable to use the same variables instead of using locals, they typically declare them in a shared
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When stack-based procedure calls were first introduced, an important motivation was to save precious memory. With this scheme, the compiler does not have to reserve separate space in memory for the private data (parameters, return address, and local variables) of each procedure. At any moment, the
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In other words, one can designate subroutine A as division and subroutine B as complex multiplication and subroutine C as the evaluation of a standard error of a sequence of numbers, and so on through the list of subroutines needed for a particular problem. ... All these subroutines will then be
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The idea of a subroutine was worked out after computing machines had already existed for some time. The arithmetic and conditional jump instructions were planned ahead of time and have changed relatively little, but the special instructions used for procedure calls have changed greatly over the
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providing information about the argument, such as string lengths and array bounds. This allows the procedure to be more general and eliminates the need for the programmer to pass such information. By default PL/I passes arguments by reference. A (trivial) function to change the sign of each
469:. Each subroutine could then be provided by a separate piece of tape, loaded or spliced before or after the main program (or "mainline"); and the same subroutine tape could then be used by many different programs. A similar approach was used in computers that loaded program instructions from 619:
The call stack is usually implemented as a contiguous area of memory. It is an arbitrary design choice whether the bottom of the stack is the lowest or highest address within this area, so that the stack may grow forwards or backwards in memory; however, many architectures chose the latter.
541:, the JSB instruction would perform a similar task, except that the return address was stored in the memory location that was the target of the branch. Execution of the procedure would actually begin at the next memory location. In the HP 2100 assembly language, one would write, for example 1077:
In some languages, such as BASIC, a callable has different syntax (i.e. keyword) for a callable that returns a value vs. one that does not. In other languages, the syntax is the same regardless. In some of these languages an extra keyword is used to declare no return value; for example
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On those computers, instead of modifying the function's return jump, the calling program would store the return address in a variable so that when the function completed, it would execute an indirect jump that would direct execution to the location given by the predefined variable.
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In the very early assemblers, subroutine support was limited. Subroutines were not explicitly separated from each other or from the main program, and indeed the source code of a subroutine could be interspersed with that of other subprograms. Some assemblers would offer predefined
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In January 1947 John Mauchly presented general notes at 'A Symposium of Large Scale Digital Calculating Machinery' under the joint sponsorship of Harvard University and the Bureau of Ordnance, United States Navy. Here he discusses serial and parallel operation suggesting
1129:, which means it cannot change the state of the program. Functions always return the same result for the same input. Such languages typically only support functions that return a value, since there is no value in a function that has neither return value nor side effect. 1690:
Languages that do not support exceptions can use the return value to indicate success or failure of a call. Another approach is to use a well-known location like a global variable for success indication. A callable writes the value and the caller reads it after a call.
1939:(i.e. most languages offer ways to obtain the call trace which includes the names of the involved functions and perhaps even more information such as file names and line numbers); by not decomposing the code into functions, debugging would be severely impaired 1191:
and modern languages, almost invariably use a call stack, usually supported by the instruction sets to provide an activation record for each call. That way, a nested call can modify its local variables without affecting any of the suspended calls variables.
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Even with this cumbersome approach, subroutines proved very useful. They allowed the use of the same code in many different programs. Memory was a very scarce resource on early computers, and subroutines allowed significant savings in the size of programs.
385:, have a single-instruction subroutine call that uses a dedicated hardware stack to store return addresses—such hardware supports only a few levels of subroutine nesting, but can support recursive subroutines. Machines before the mid-1960s—such as the 1643:
Multiple argument definitions may be specified for each entry. A call to "gen_name" will result in a call to "name" when the argument is FIXED BINARY, "flame" when FLOAT", etc. If the argument matches none of the choices "pathname" will be called.
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did not initially support recursion because only one set of variables and return address were allocated for each callable. Early computer instruction sets made storing return addresses and variables on a stack difficult. Machines with
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code of the caller more effectively by taking into account the context and arguments at that call. Inlining, however, usually increases the compiled code size, except when only called once or the body is very short, like one line.
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We could supply our assembling clerk with copies of the source code for all of our useful subroutines and then when presenting him with a mainline program for assembly, tell him which subroutines will be called in the mainline
1830:. For code compiled by the same or a compatible compiler, functions can be compiled separately from the programs that call them. The instruction sequences corresponding to call and return statements are called the procedure's 670:
One disadvantage of the call stack mechanism is the increased cost of a procedure call and its matching return. The extra cost includes incrementing and decrementing the stack pointer (and, in some architectures, checking for
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cannot be called only once with its value used two times since the two calls may return different results. Moreover, in the few languages which define the order of evaluation of the division operator's operands, the value of
1453:. Often the compiler selects the overload to call based on the type of the input arguments or it fails if the input arguments do not select an overload. Older and weakly-typed languages generally do not support overloading. 405:
had a subroutine call instruction that placed the saved instruction counter value into a general-purpose register; this can be used to support arbitrarily deep subroutine nesting and recursive subroutines. The Burroughs
2723:/* first array bounds from -5 to +10 and 3 to 9 */ declare array1 (-5:10, 3:9)float; /* second array bounds from 1 to 16 and 1 to 16 */ declare array2 (16,16) float; call change_sign(array1); call change_sign(array2); 1082:
in C, C++ and C#. In some languages, such as Python, the difference is whether the body contains a return statement with a value, and a particular callable may return with or without a value based on control flow.
1782:. So, while this optimization is safe in a purely functional programming language, a compiler for an language not limited to functional typically assumes the worst case, that every callable may have side effects. 686:, which return without making any procedure calls themselves. To reduce that overhead, many modern compilers try to delay the use of a call stack until it is really needed. For example, the call of a procedure 675:), and accessing the local variables and parameters by frame-relative addresses, instead of absolute addresses. The cost may be realized in increased execution time, or increased processor complexity, or both. 714:
In general, a callable unit is a list of instructions that, starting at the first instruction, executes sequentially except as directed via its internal logic. It can be invoked (called) many times during the
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Some programmers suggest that a callable should perform exactly one task, and if it performs more than one task, it should be split up into multiple callables. They argue that callables are key components in
2038:) that orders the lines for execution, provides no separation of the code that is callable, no mechanism for passing arguments or to return a value and all variables are global. It provides the command 2739:
denotes the start of a function definition. The statements of the function body follow as indented on subsequent lines and end at the line that is indented the same as the first line or end of file.
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and to assign the chunks meaningful names (unless they are anonymous). Judicious application can reduce the cost of developing and maintaining software, while increasing its quality and reliability.
1434:, the resulting code may be easier to write and to maintain since each one has a name that is relatively easy to understand and to remember instead of giving longer and more complicated names like 401:
which saved the instruction counter in the first memory location of the called subroutine. This allows arbitrarily deep levels of subroutine nesting but does not support recursive subroutines. The
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This function requires C++ – would not compile as C. It has the same behavior as the preceding example but passes the actual parameter by reference rather than passing its address. A call such as
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to generate the call and return sequences. By the 1960s, assemblers usually had much more sophisticated support for both inline and separately assembled subroutines that could be linked together.
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Like a macro – replace the parameters with the unevaluated argument expressions, then evaluate the argument in the context of the caller every time that the callable uses the parameter
417:(1964) is one of the first accumulator-based machines to have a subroutine call instruction that saved the return address in a stack addressed by an accumulator or index register. The later 2351:
copies the reference; not the state of the object. The called procedure can modify the state of the object via its methods yet cannot modify the object reference of the actual parameter.
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is a callable plus values of some of its variables captured from the environment in which it was created. Closures were a notable feature of the Lisp programming language, introduced by
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eliminates calls for particular callables. The compiler replaces each call with the compiled code of the callable. Not only does this avoid the call overhead, but it also allows the
601:, at the top of the stack; when the procedure returns, its stack frame is deleted from the stack, and its space may be used for other procedure calls. Each stack frame contains the 86:
Callable units provide a powerful programming tool. The primary purpose is to allow for the decomposition of a large and/or complicated problem into chunks that have relatively low
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may store the return address and parameters of the called procedure in certain processor registers, and transfer control to the procedure's body by a simple jump. If the procedure
109:. There is a callable unit in the source code and an associated one in the machine code, but they are different kinds of callable units – with different implications and features. 307:, did not have a single subroutine call instruction. Subroutines could be implemented, but they required programmers to use the call sequence—a series of instructions—at each 577:
are not allowed for natural recalculation order, this allows a tree walk without reserving space for a stack in memory, which was very limited on small computers such as the
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Most modern languages support exceptions which allows for exceptional control flow that pops the call stack until an exception handler is found to handle the condition.
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Callable unit: (Of a software program or logical design) Function, method, operation, subroutine, procedure, or analogous structural unit that appears within a module.
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Report by Dr. A.M. Turing on proposals for the development of an Automatic Computing Engine (ACE): Submitted to the Executive Committee of the NPL in February 1946
1714:} B BAD return code =04 Invalid input } Branch table B ERROR return code =08 Unexpected condition } 1774:
must be fetched again before the second call, since the first call may have changed it. Determining whether a callable has a side effect is difficult – indeed,
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MYSUB NOP (Storage for MYSUB's return address.) AA ... (Start of MYSUB's body.) ... JMP MYSUB,I (Returns to the calling program.)
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Some optimizations for minimizing call overhead may seem straight forward, but cannot be used if the callable has side effects. For example, in the expression
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is generally deemed unwise, because it adds coupling between all callables that use the global variables. If such coupling is not necessary, they advise to
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index into a branch table often located immediately after the call instruction to avoid extra conditional tests, further improving efficiency. In the
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function name serves to describe the block of code. This makes the calling code concise and readable even if the function is not meant to be reused.
1698:, where return code was expected from a subroutine, the return value was often designed to be a multiple of 4—so that it could be used as a direct 356:
computer she was programming during World War II. She and the other ENIAC programmers used the subroutines to help calculate missile trajectories.
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have essentially the same meaning but describe a hierarchical relationship, much like how a subdirectory is structurally subordinate to its parent
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to indicate that it does not return a value. This is followed by the function name, formal arguments in parentheses, and body lines in braces.
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The first function returns greeting text that includes the name passed by the caller. The second function calls the first and is called like
637: 569:, in the early 1980s, to discover the recalculation dependencies in a spreadsheet. Namely, a location was reserved in each cell to store the 1388:
If a callable can be executed properly even when another execution of the same callable is already in progress, that callable is said to be
4114: 3623: 616:(VLIW) architectures), but many traditional machines designed since the late 1960s have included special instructions for that purpose. 3487: 1866:
or provides in a way other than for other functions. A built-in function does not need to be defined like other functions since it is
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where the ampersand (&) tells the compiler to pass the address of a variable. Giving v is 5 before the call, it will be 7 after.
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This function has a side-effect – modifies the value passed by address to the input value plus 2. It could be called for variable
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keyword denotes the start of a subroutine and is followed by a name identifier. Subsequent lines are the body which ends with the
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of callable units evolved over time and varies by context. This section describes features of the various common implementations.
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originally meant a library, in the literal sense, which kept indexed collections of tapes or decks of cards for collective use.
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stored in the machine, and all one needs to do is make a brief reference to them by number, as they are indicated in the coding.
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does not. For an object, semantics can confuse programmers since an object is always treated as a reference. Passing an object
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This code repeatedly asks the user to enter a number and reports the square root of the value. Lines 100-130 are the callable.
702:, it will then use the call stack to save the contents of any registers (such as the return address) that will be needed after 605:
of the corresponding call, which typically includes the procedure's parameters and internal variables, and the return address.
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Adventures Between Lower Bounds and Higher Altitudes: Essays Dedicated to Juraj HromkoviÄŤ on the Occasion of His 60th Birthday
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The term used tends to reflect the context in which it is used – usually based on the language being used. For example:
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was a slightly less restrictive, but similar, requirement for application programs that were shared by many threads.
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attribute to define a generic name for a set of entry references called with different types of arguments. Example:
1660: 1653: 1365: 1156: 854: 613: 288: 190: 3613:(NB. Presented on 1946-03-19 before the Executive Committee of the National Physical Laboratory (Great Britain).) 1398:
situations since multiple threads can call the same callable without fear of interfering with each other. In the
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A copy of the argument is passed in and the value computed during the call is copied to the argument on return
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does not include an ampersand since the compiler handles passing by reference without syntax in the call.
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The meaning of each callable term (function, procedure, method, ...) is, in fact, different. They are not
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If supported by the language, a callable may call itself, causing its execution to suspend while another
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DECLARE gen_name GENERIC( name WHEN(FIXED BINARY), flame WHEN(FLOAT), pathname OTHERWISE);
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The call sequence can be implemented by a sequence of ordinary instructions (an approach still used in
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instruction, which combined the saving of the return address with the calling jump, thereby minimizing
3795:'Debunking the "Expensive Procedure Call" Myth; or, Procedure call implementations considered harmful" 545:... JSB MYSUB (Calls subroutine MYSUB.) BB ... (Will return here after MYSUB is done.) 4215: 4200: 3928: 3787: 3636: 3627: 3605: 3336: 1995: 1421: 1027: 40: 4025: 3678: 2471:
This has a side-effect – modifies the variable passed by reference and could be called for variable
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owned by a callable to hold intermediate values. These variables are typically stored in the call's
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in order to consume the return value. For example, a square root callable unit might be called like
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This function returns the integer value 5. The call can be stand-alone or in an expression like
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change_sign: procedure(array); declare array(*,*) float; array = -array; end change_sign;
2313: 1960: 1831: 1798: 1779: 1706: 1110:, who is known for promoting design principles. Martin argues that side effects can result in 1096: 997: 786: 762: 4051: 3702:"Part II, Volume I-3, Planning and Coding of Problems for an Electronic Computing Instrument" 719:
of a program. Execution continues at the next instruction after the call instruction when it
647:, since each nested call to the same procedure gets a separate instance of its private data. 597:, to implement function calls and returns. Each procedure call creates a new entry, called a 445:
One of the first programming languages to support user-written subroutines and functions was
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Proposals for Development in the Mathematics Division of an Automatic Computing Engine (ACE)
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translates call and return statements into machine instructions according to a well-defined
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Most modern programming languages provide features to define and call functions, including
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to call a subroutine called MYSUB from the main program. The subroutine would be coded as
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Dividing a large programming task among various programmers or various stages of a project
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Some older languages require a keyword for calls that do not consume a return value, like
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used the terms "bury" and "unbury" as a means of calling and returning from subroutines.
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Improving readability of code by replacing a block of code with a function call where a
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environment, there is generally more than one stack. An environment that fully supports
3578: 2821: 2302: 1906: 1900: 1695: 1668:. Depending on the implementation, closures can serve as a mechanism for side-effects. 1144: 1014: 732: 672: 402: 326: 260: 87: 72: 4075: 3070:. But the same procedure can be called with other input-output patterns. For example: 2499:. A function definition starts with the name of the type of value that it returns or 1978:
With respect to naming, many developers name a callable with a phrase starting with a
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are generally credited with the formal invention of this concept, which they termed a
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Report on the Mathematical and Logical aspects of an Electronic Computing Instrument
3454:(1982). "Preparation of Problems for EDVAC-Type Machines". In Randell, Brian (ed.). 1895:
a complex programming task into simpler steps: this is one of the two main tools of
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to return a value. When used in the context of a class, a procedure is a method.
410:(1961) is one of the first computers to store subroutine return data on a stack. 255:
and recorded in a January 1947 Harvard symposium on "Preparation of Problems for
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For a simple type like a number these conventions are relatively clear. Passing
2035: 1103:, halting the program or the machine, or temporarily pausing program execution. 566: 315: 284: 121:. Nevertheless, they each add a capability to programming that has commonality. 102: 94: 1095:
behavior such as modifying passed or global data, reading from or writing to a
4011: 3866: 3650: 3631: 3266:, a subprogram that is called after its parameters are set by other activities 2005:
advocate that each callable should have minimal dependency on the rest of the
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This function does not return a value and is always called stand-alone, like
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returns without making any other call, the call stack is not used at all. If
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may use data structures other than stacks to store their activation records.
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and other early programming languages also supported procedural programming.
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had discussed subroutines in a paper of 1945 on design proposals for the NPL
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The Operational Characteristics of the Processors for the Burroughs B5000
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A callable unit that does not return a value is called as a stand-alone
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Many early computers loaded the program instructions into memory from a
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This returns the value 5, and a call can be part of an expression like
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Various techniques are employed to minimize the runtime cost of calls.
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Dispatching such as for a virtual method in an object-oriented language
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Proceedings of the 1952 ACM national meeting (Pittsburgh) on - ACM '52
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Many programming conventions have been developed regarding callables.
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The value computed during the call is copied to the argument on return
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However, another advantage of the call stack method is that it allows
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wrote a paper dated 16 August 1948 discussing the use of subroutines.
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Identify variables outside the function that are accessible within it
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Delimit the implementation of a function from the rest of the program
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stack contains only the private data of the calls that are currently
578: 426: 422: 418: 3992:. In Böckenhauer, Hans-Joachim; Komm, Dennis; Unger, Walter (eds.). 3283:, subprograms that call each other as if both were the main programs 2507: 2492: 2376:
The does not return a value and has to be called stand-alone, like
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allows the procedure to modify the passed variable whereas passing
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Recursion allows direct implementation of functionality defined by
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MYSUB, I which branched to the location stored at location MYSUB.
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PThreads Programming: A POSIX Standard for Better Multiprocessing
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The Art of Computer Programming, Volume I: Fundamental Algorithms
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Compared to using in-line code, invoking a function imposes some
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Early BASIC variants require each line to have a unique number (
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Like by-value except that the parameter is treated as a constant
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years. The earliest computers and microprocessors, such as the
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Buttlar, Dick; Farrell, Jacqueline; Nichols, Bradford (1996).
2816:, logical implications behave as goal-reduction procedures. A 1810:
Callables can be defined within a program, or separately in a
1469:// returns the area of a rectangle defined by height and width 1399: 1203:. Here is an example of a recursive function in C/C++ to find 947:
Most implementations, especially in modern languages, support
3813:. Prentice-Hall software series. Prentice-Hall. p. 195. 139:
were more commonly used in the past but are less common today
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behavior, a callable may need to inform the caller about an
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A reference to the argument is passed; typically its address
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If declared to return a value, a call can be embedded in an
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Sequence of program instructions invokable by other software
4101:"Small Basic Getting Started Guide: Chapter 9: Subroutines" 369:
Some very early computers and microprocessors, such as the
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Preparation of Programs for an Electronic Digital Computer
1959:
code – both at the entry to, and exit from, the function (
4181:"4. More Control Flow Tools — Python 3.9.7 documentation" 3797:. Section "C. Why Procedure Calls Have a Bad Reputation". 1888:
Advantages of breaking a program into functions include:
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out of a function and to handle it in the calling context
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that is compiled to machine code that implements similar
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Overloading is supported in many languages that support
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that correspond to a called function's formal parameters
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Copying values after the call into the caller's context
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The idea of a callable unit was initially conceived by
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Clean Code: A Handbook of Agile Software Craftsmanship
449:. The IBM FORTRAN II compiler was released in 1958. 2720:
This could be called with various arrays as follows:
2479:. Giving v is 5 before the call, it will be 7 after. 589:
Most modern implementations of a function call use a
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Introduction to the PDP-11 and Its Assembly Language
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element of a two-dimensional array might look like:
3423:O.-J. Dahl; E. W. Dijkstra; C. A. R. Hoare (1972). 3059: 3035: 2999: 2274:is used for the callable unit concept. The keyword 678:This overhead is most obvious and objectionable in 352:team and developed an idea for subroutines for the 206: 194: 3577: 1520:// returns the area of a circle defined by radius 1066:PL/I NONASSIGNABLE parameters, Ada IN parameters 495:instruction, whose operand, instead of being the 93:Callable units are present at multiple levels of 3584:. Oxford: Oxford University Press. p. 383. 3522:Wilkes, M. V.; Wheeler, D. J.; Gill, S. (1951). 2522:. A function outside of a class can be called a 3323:, a function that is not bound to an identifier 2844:behaves as a procedure that reduces goals that 2289:that can be specified, but if not, defaults to 335: 176:, having no side-effects, but in many contexts 97:in the programming environment. For example, a 3700:Herman H. Goldstine; John von Neumann (1947). 3539:""open subroutine." A Dictionary of Computing" 1684:condition that occurred during its execution. 1005:Selectable in most Algol-like languages after 3713:(see p. 163 of the pdf for the relevant page) 291:, going so far as to invent the concept of a 8: 1731:Allocating and reclaiming call stack storage 489:, computer designers eventually provided an 348:had worked closely with John Mauchly on the 2859:Consider, for example, the Prolog program: 1727:, which may include but is not limited to: 1106:Side effects are considered undesireble by 988:Default in most Algol-like languages after 821:Package functions into a container such as 779:Specify a return value in the function body 565:Incidentally, a similar method was used by 3446: 3444: 2804:to write "Welcome Martin" to the console. 2526:to distinguish it from a member function. 2308:VB supports parameter passing conventions 795:control to the caller at the point of call 499:itself, was the location of a variable or 3649: 3506: 1990:when it is used to substitute variables. 1394:. A reentrant callable is also useful in 1171:execution of the same callable executes. 1155:along with other information such as the 901:. The C-family languages use the keyword 897:, use only one name for a callable unit, 3851:. "O'Reilly Media, Inc.". pp. 2–5. 3580:Alan Turing's Automatic Computing Engine 1734:Saving and restoring processor registers 1346:, could use one of those registers as a 965: 801:Dispose of the values returned by a call 747:for accessing such features, including: 3671:"Walter Isaacson on the Women of ENIAC" 3492:"The use of sub-routines in programmes" 3358: 1955:A function typically requires standard 1814:that can be used by multiple programs. 3763:Programmed Data Processor 6 - Handbook 3669:Isaacson, Walter (18 September 2014). 3321:Lambda function (computer programming) 3019:is represented by a relation, as in a 1091:In many contexts, a callable may have 798:Consume the return value in the caller 3664: 3662: 2998:Notice that the motherhood function, 1986:when it makes an inquiry, and with a 1982:when it does a certain task, with an 1456:Here is an example of overloading in 7: 2812:In the procedural interpretation of 2328:is specified, an argument is passed 1743:Automatic testing of the return code 231:to refer to a member function of an 3950:Martin, Robert C. (1 August 2008). 2707:a called procedure may be passed a 83:and can be invoked multiple times. 4167:"what is meant by a free function" 1967:and return address as a minimum). 25: 3034:For example, the procedure call 2852:to subgoals that are instances of 610:reduced instruction set computing 3456:The Origins of Digital Computers 2336:is rarely explicitly specified. 1709:, one would write, for example: 698:needs to call another procedure 314:Subroutines were implemented in 2834:which has the logical reading: 2278:is used to return no value and 1176:context such static or global. 985:A copy of the argment is passed 951:which the callable declares as 503:containing the return address. 4141:"Dim statement (Visual Basic)" 3458:. Springer. pp. 393–397. 2495:, a callable unit is called a 1961:function prologue and epilogue 1: 4103:. Microsoft. 17 January 2024. 3990:"A Master Class on Recursion" 1923:Hiding implementation details 1870:to the programming language. 1464:that accept different types: 1406:transaction processing system 1201:divide and conquer algorithms 905:to indicate no return value. 881:). Other languages, such as 4115:"Procedures in Visual Basic" 3464:10.1007/978-3-642-61812-3_31 2514:(as non-static) is called a 2293:for later versions based on 3264:Asynchronous procedure call 2510:, a function declared in a 2017:callables to accept passed 776:to the return value, if any 638:automatic memory management 623:Some designs, notably some 4232: 3632:"The other Turing machine" 2009:. For example, the use of 1925:from users of the function 1843: 1654:Closure (computer science) 1651: 1419: 1357: 614:very long instruction word 29: 3996:. Springer. p. 616. 3807:Frank, Thomas S. (1983). 1965:general purpose registers 1324:general-purpose registers 1125:, a function can have no 873:) vs. one that does not ( 4056:. April 2023. p. 87 3881:"ARM Information Center" 3755:"Push-Down Instructions" 3270:Command–query separation 3072: 2861: 2741: 2647: 2590: 2556: 2528: 2421: 2381: 2353: 2324:, respectively. Unless 2214: 2060: 1916:across multiple programs 1711: 1466: 1209: 1179:Languages going back to 845:Some languages, such as 645:recursive function calls 593:, a special case of the 551: 543: 515:Another advance was the 101:may write a function in 75:that has a well-defined 3651:10.1093/comjnl/20.3.269 3624:Carpenter, Brian Edward 1952:in the call mechanism. 1737:Copying input variables 1426:Some languages support 1163:Nested call – recursion 1114:or order dependencies. 739:General characteristics 537:In systems such as the 485:To remove the need for 481:Return by indirect jump 4211:Programming constructs 3988:Verhoeff, Tom (2018). 3537:Dainith, John (2004). 3425:Structured Programming 3367:"Terminology Glossary" 3306:Functional programming 3301:Function (mathematics) 2246:This can be called as 1950:computational overhead 1897:structured programming 1746:Handling of exceptions 1364:Some languages, e.g., 1197:mathematical induction 1139:Most contexts support 1119:functional programming 343: 180:refers to any callable 4053:Study Material Python 3733:Burroughs Corporation 3628:Doran, Robert William 3606:Turing, Alan Mathison 3508:10.1145/609784.609816 2285:Each parameter has a 2258:In later versions of 2198:Microsoft Small Basic 1832:prologue and epilogue 1757:Compiler optimization 1313:Early languages like 816:exceptional condition 758:, name, to a function 628:directly accessible. 275:, contrasted with an 251:during their work on 174:mathematical function 163:are similarly related 4026:"Built-in functions" 3931:. Msdn.microsoft.com 3883:. Infocenter.arm.com 3788:Guy Lewis Steele Jr. 3637:The Computer Journal 3337:Operator overloading 3058:produces the output 2762:"Welcome " 2587:y = x + giveMeFive() 2418:y = x + GiveMeFive() 2365:' Some Code Here 2262:(VB), including the 1996:software maintenance 1422:Function overloading 595:stack data structure 383:PIC microcontrollers 293:return address stack 41:computer programming 30:For other uses, see 4147:. 15 September 2021 4121:. 15 September 2021 3711:(Technical report). 3681:on 12 December 2018 3630:(1 January 1977) . 3342:Protected procedure 3332:Modular programming 3287:Evaluation strategy 3031:as callable units. 3021:relational database 2264:latest product line 2066:REM A BASIC PROGRAM 2003:modular programming 1723:A call has runtime 1672:Exception reporting 1022:Ada OUT parameters 937:CALL print("hello") 575:circular references 487:self-modifying code 209:does return a value 3735:. 1963. 5000-21005 3608:(19 March 1946) , 3427:. Academic Press. 3402:. Addison-Wesley. 3316:Intrinsic function 3276:Compound operation 2792:"Martin" 2235:"Hello!" 1860:intrinsic function 1846:Intrinsic function 1838:Built-in functions 1828:calling convention 1344:UNIVAC 1100 series 1121:languages such as 1039:in-out parameters 955:. A caller passes 804:Provide a private 517:jump to subroutine 511:Jump to subroutine 501:processor register 475:subroutine library 467:punched paper tape 399:calling convention 273:closed sub-routine 249:Kathleen Antonelli 217:languages such as 185:In the context of 4003:978-3-319-98355-4 3903:"x64 stack usage" 3858:978-1-4493-6475-5 3526:. Addison-Wesley. 3473:978-3-642-61814-7 3327:Logic programming 2316:via the keywords 1963:– usually saving 1852:built-in function 1818:Inter-operability 1763:(f(x)-1)/(f(x)+1) 1707:assembly language 1149:activation record 1112:temporal coupling 1097:peripheral device 1070: 1069: 1060:by constant value 957:actual parameters 953:formal parameters 787:actual parameters 763:formal parameters 666:Delayed stacking 397:—typically use a 259:-type Machines." 16:(Redirected from 4223: 4185: 4184: 4177: 4171: 4170: 4163: 4157: 4156: 4154: 4152: 4137: 4131: 4130: 4128: 4126: 4111: 4105: 4104: 4097: 4091: 4090: 4088: 4086: 4072: 4066: 4065: 4063: 4061: 4048: 4042: 4041: 4039: 4037: 4022: 4016: 4015: 3985: 3979: 3978: 3976: 3974: 3947: 3941: 3940: 3938: 3936: 3929:"Function Types" 3925: 3919: 3918: 3916: 3914: 3899: 3893: 3892: 3890: 3888: 3877: 3871: 3870: 3842: 3836: 3835: 3829: 3827: 3804: 3798: 3785: 3779: 3778: 3776: 3774: 3768: 3759: 3751: 3745: 3744: 3742: 3740: 3730: 3720: 3714: 3712: 3706: 3697: 3691: 3690: 3688: 3686: 3677:. Archived from 3666: 3657: 3655: 3653: 3620: 3614: 3612: 3602: 3596: 3595: 3583: 3570: 3560: 3554: 3553: 3551: 3549: 3543:Encyclopedia.com 3534: 3528: 3527: 3519: 3513: 3512: 3510: 3496: 3484: 3478: 3477: 3448: 3439: 3438: 3420: 3414: 3413: 3392: 3386: 3385: 3380: 3378: 3363: 3253: 3250: 3247: 3244: 3241: 3238: 3235: 3232: 3229: 3226: 3223: 3220: 3217: 3214: 3211: 3208: 3205: 3202: 3199: 3196: 3193: 3190: 3187: 3184: 3181: 3178: 3175: 3172: 3169: 3166: 3163: 3160: 3157: 3154: 3151: 3148: 3145: 3142: 3139: 3136: 3133: 3130: 3127: 3124: 3121: 3118: 3115: 3112: 3109: 3106: 3103: 3100: 3097: 3094: 3091: 3088: 3085: 3082: 3079: 3076: 3069: 3068: 3065: 3062: 3057: 3056: 3053: 3050: 3047: 3044: 3041: 3038: 3018: 3017: 3014: 3011: 3008: 3005: 3002: 2994: 2991: 2988: 2985: 2982: 2979: 2976: 2973: 2970: 2967: 2964: 2961: 2958: 2955: 2952: 2949: 2946: 2943: 2940: 2937: 2934: 2931: 2928: 2925: 2922: 2919: 2916: 2913: 2910: 2907: 2904: 2901: 2898: 2895: 2892: 2889: 2886: 2883: 2880: 2877: 2874: 2871: 2868: 2865: 2855: 2851: 2840: 2830: 2803: 2796: 2793: 2790: 2787: 2784: 2781: 2778: 2775: 2772: 2769: 2766: 2763: 2760: 2757: 2754: 2751: 2748: 2745: 2738: 2694: 2687: 2684: 2681: 2678: 2675: 2672: 2669: 2666: 2663: 2660: 2657: 2654: 2651: 2644: 2640: 2633: 2630: 2627: 2624: 2621: 2618: 2615: 2612: 2609: 2606: 2603: 2600: 2597: 2594: 2588: 2581: 2578: 2575: 2572: 2569: 2566: 2563: 2560: 2554: 2547: 2544: 2541: 2538: 2535: 2532: 2502: 2478: 2474: 2467: 2464: 2461: 2458: 2455: 2452: 2449: 2446: 2443: 2440: 2437: 2434: 2431: 2428: 2425: 2419: 2412: 2409: 2406: 2403: 2400: 2397: 2394: 2391: 2388: 2385: 2379: 2372: 2369: 2366: 2363: 2360: 2357: 2350: 2346: 2342: 2335: 2331: 2327: 2323: 2319: 2292: 2281: 2277: 2249: 2242: 2239: 2236: 2233: 2230: 2227: 2224: 2221: 2218: 2211: 2207: 2184: 2181: 2178: 2175: 2172: 2169: 2166: 2163: 2160: 2157: 2154: 2151: 2148: 2145: 2142: 2139: 2136: 2133: 2130: 2127: 2124: 2121: 2118: 2115: 2112: 2109: 2106: 2103: 2100: 2097: 2094: 2091: 2088: 2085: 2082: 2079: 2076: 2073: 2070: 2067: 2064: 2041: 2011:global variables 1909:within a program 1856:builtin function 1773: 1768: 1764: 1636: 1629: 1626: 1623: 1620: 1617: 1614: 1611: 1608: 1605: 1602: 1599: 1596: 1593: 1590: 1587: 1584: 1581: 1578: 1575: 1572: 1569: 1566: 1563: 1560: 1557: 1554: 1551: 1548: 1545: 1542: 1539: 1536: 1533: 1530: 1527: 1524: 1521: 1518: 1515: 1512: 1509: 1506: 1503: 1500: 1497: 1494: 1491: 1488: 1485: 1482: 1479: 1476: 1473: 1470: 1463: 1460:, two functions 1309: 1306: 1303: 1300: 1297: 1294: 1291: 1288: 1285: 1282: 1279: 1276: 1273: 1270: 1267: 1264: 1261: 1258: 1255: 1252: 1249: 1246: 1243: 1240: 1237: 1234: 1231: 1228: 1225: 1222: 1219: 1216: 1213: 1108:Robert C. Martin 1081: 966: 938: 931: 920: 904: 765:with a name and 731:The features of 433:Language support 208: 196: 21: 4231: 4230: 4226: 4225: 4224: 4222: 4221: 4220: 4191: 4190: 4189: 4188: 4179: 4178: 4174: 4165: 4164: 4160: 4150: 4148: 4145:Microsoft Learn 4139: 4138: 4134: 4124: 4122: 4119:Microsoft Learn 4113: 4112: 4108: 4099: 4098: 4094: 4084: 4082: 4074: 4073: 4069: 4059: 4057: 4050: 4049: 4045: 4035: 4033: 4024: 4023: 4019: 4004: 3987: 3986: 3982: 3972: 3970: 3968: 3949: 3948: 3944: 3934: 3932: 3927: 3926: 3922: 3912: 3910: 3901: 3900: 3896: 3886: 3884: 3879: 3878: 3874: 3859: 3844: 3843: 3839: 3825: 3823: 3821: 3806: 3805: 3801: 3786: 3782: 3772: 3770: 3766: 3757: 3753: 3752: 3748: 3738: 3736: 3728: 3722: 3721: 3717: 3704: 3699: 3698: 3694: 3684: 3682: 3668: 3667: 3660: 3622: 3621: 3617: 3604: 3603: 3599: 3592: 3574:Copeland, B. J. 3572: 3564:Turing, Alan M. 3562: 3561: 3557: 3547: 3545: 3536: 3535: 3531: 3521: 3520: 3516: 3501:. p. 235. 3494: 3486: 3485: 3481: 3474: 3450: 3449: 3442: 3435: 3422: 3421: 3417: 3410: 3396:Donald E. Knuth 3394: 3393: 3389: 3376: 3374: 3365: 3364: 3360: 3355: 3311:Fused operation 3260: 3255: 3254: 3251: 3248: 3245: 3242: 3239: 3236: 3233: 3230: 3227: 3224: 3221: 3218: 3215: 3212: 3209: 3206: 3203: 3200: 3197: 3194: 3191: 3188: 3185: 3182: 3179: 3176: 3173: 3170: 3167: 3164: 3161: 3158: 3155: 3152: 3149: 3146: 3143: 3140: 3137: 3134: 3131: 3128: 3125: 3122: 3119: 3116: 3113: 3110: 3107: 3104: 3101: 3098: 3095: 3092: 3089: 3086: 3083: 3080: 3077: 3074: 3066: 3063: 3060: 3054: 3051: 3048: 3045: 3042: 3039: 3036: 3015: 3012: 3009: 3006: 3003: 3000: 2996: 2995: 2992: 2989: 2986: 2983: 2980: 2977: 2974: 2971: 2968: 2965: 2962: 2959: 2956: 2953: 2950: 2947: 2944: 2941: 2938: 2935: 2932: 2929: 2926: 2923: 2920: 2917: 2914: 2911: 2908: 2905: 2902: 2899: 2896: 2893: 2890: 2887: 2884: 2881: 2878: 2875: 2872: 2869: 2866: 2863: 2853: 2849: 2838: 2828: 2824:) of the form: 2810: 2801: 2798: 2797: 2794: 2791: 2788: 2786:format_greeting 2785: 2782: 2779: 2776: 2773: 2770: 2767: 2764: 2761: 2758: 2755: 2752: 2749: 2747:format_greeting 2746: 2743: 2736: 2729: 2724: 2718: 2701: 2692: 2689: 2688: 2685: 2682: 2679: 2676: 2673: 2670: 2667: 2664: 2661: 2658: 2655: 2652: 2649: 2642: 2638: 2635: 2634: 2631: 2628: 2625: 2622: 2619: 2616: 2613: 2610: 2607: 2604: 2601: 2598: 2595: 2592: 2586: 2583: 2582: 2579: 2576: 2573: 2570: 2567: 2564: 2561: 2558: 2552: 2549: 2548: 2545: 2543:/* some code */ 2542: 2539: 2536: 2533: 2530: 2516:member function 2500: 2485: 2476: 2472: 2469: 2468: 2465: 2462: 2459: 2456: 2453: 2450: 2447: 2444: 2441: 2438: 2435: 2432: 2429: 2426: 2423: 2417: 2414: 2413: 2410: 2407: 2404: 2401: 2398: 2395: 2392: 2389: 2386: 2383: 2377: 2374: 2373: 2370: 2367: 2364: 2361: 2358: 2355: 2348: 2344: 2340: 2333: 2329: 2325: 2321: 2317: 2290: 2279: 2275: 2256: 2247: 2244: 2243: 2240: 2237: 2234: 2231: 2228: 2225: 2222: 2219: 2216: 2209: 2205: 2194: 2186: 2185: 2182: 2179: 2176: 2173: 2170: 2167: 2164: 2161: 2158: 2155: 2152: 2149: 2146: 2143: 2140: 2137: 2134: 2131: 2128: 2125: 2122: 2119: 2116: 2113: 2110: 2107: 2104: 2101: 2098: 2095: 2092: 2089: 2086: 2083: 2080: 2077: 2074: 2071: 2068: 2065: 2062: 2039: 2032: 2027: 1973: 1946: 1901:data structures 1886: 1881: 1876: 1848: 1840: 1820: 1808: 1788: 1771: 1766: 1765:, the function 1762: 1759: 1721: 1716: 1715: 1674: 1656: 1650: 1641: 1634: 1631: 1630: 1627: 1624: 1621: 1618: 1615: 1612: 1609: 1606: 1603: 1600: 1597: 1594: 1591: 1588: 1585: 1582: 1579: 1576: 1573: 1570: 1567: 1564: 1561: 1558: 1555: 1552: 1549: 1546: 1543: 1540: 1537: 1534: 1531: 1528: 1525: 1522: 1519: 1516: 1513: 1510: 1507: 1504: 1501: 1498: 1495: 1492: 1489: 1486: 1483: 1480: 1477: 1474: 1471: 1468: 1461: 1424: 1418: 1410:quasi-reentrant 1386: 1362: 1360:Nested function 1356: 1328:CDC 6000 series 1320:index registers 1311: 1310: 1307: 1304: 1301: 1298: 1295: 1292: 1289: 1286: 1283: 1280: 1277: 1274: 1271: 1268: 1265: 1262: 1259: 1256: 1253: 1250: 1247: 1244: 1241: 1238: 1235: 1232: 1229: 1226: 1223: 1220: 1217: 1214: 1211: 1165: 1141:local variables 1137: 1135:Local variables 1089: 1079: 1075: 1028:by value-result 945: 936: 929: 918: 911: 902: 843: 782:Call a function 741: 733:implementations 729: 727:Implementations 712: 680:leaf procedures 668: 660:lazy evaluation 587: 573:address. Since 555: 554: 547: 546: 523:significantly. 513: 483: 459: 435: 301:Manchester Baby 277:open subroutine 241: 215:Object-oriented 115: 35: 28: 23: 22: 15: 12: 11: 5: 4229: 4227: 4219: 4218: 4213: 4208: 4203: 4193: 4192: 4187: 4186: 4172: 4158: 4132: 4106: 4092: 4067: 4043: 4032:. 9 March 2017 4017: 4002: 3980: 3966: 3956:(1 ed.). 3942: 3920: 3907:Microsoft Docs 3894: 3872: 3857: 3837: 3819: 3799: 3780: 3746: 3731:. Revision A. 3715: 3692: 3658: 3644:(3): 269–279. 3615: 3597: 3590: 3576:, ed. (2005). 3555: 3529: 3514: 3488:Wheeler, D. J. 3479: 3472: 3440: 3433: 3415: 3408: 3387: 3357: 3356: 3354: 3351: 3350: 3349: 3344: 3339: 3334: 3329: 3324: 3318: 3313: 3308: 3303: 3298: 3289: 3284: 3278: 3273: 3267: 3259: 3256: 3073: 2862: 2842: 2841: 2832: 2831: 2814:logic programs 2809: 2806: 2802:greet_martin() 2742: 2735:, the keyword 2728: 2725: 2722: 2716: 2700: 2697: 2648: 2643:addTwo(&v) 2591: 2557: 2529: 2484: 2481: 2422: 2382: 2354: 2255: 2252: 2215: 2193: 2190: 2061: 2031: 2028: 2026: 2023: 2001:Proponents of 1972: 1969: 1945: 1942: 1941: 1940: 1933: 1926: 1920: 1917: 1910: 1907:duplicate code 1903: 1885: 1882: 1880: 1877: 1875: 1872: 1844:Main article: 1839: 1836: 1819: 1816: 1807: 1804: 1787: 1784: 1780:Rice's theorem 1758: 1755: 1751: 1750: 1747: 1744: 1741: 1738: 1735: 1732: 1720: 1717: 1712: 1696:IBM System/360 1673: 1670: 1652:Main article: 1649: 1646: 1639: 1583:rectangle_area 1467: 1420:Main article: 1417: 1414: 1396:multi-threaded 1385: 1382: 1358:Main article: 1355: 1352: 1210: 1199:and recursive 1164: 1161: 1157:return address 1136: 1133: 1099:, accessing a 1088: 1085: 1074: 1071: 1068: 1067: 1064: 1061: 1057: 1056: 1050: 1047: 1041: 1040: 1033: 1030: 1024: 1023: 1020: 1017: 1011: 1010: 1003: 1000: 994: 993: 986: 983: 977: 976: 973: 970: 944: 941: 930:print("hello") 910: 907: 842: 839: 838: 837: 819: 812: 809: 802: 799: 796: 790: 783: 780: 777: 770: 759: 752: 740: 737: 728: 725: 711: 708: 684:leaf functions 673:stack overflow 667: 664: 652:multi-threaded 586: 583: 552: 544: 512: 509: 497:return address 482: 479: 458: 455: 434: 431: 403:IBM System/360 327:Alan M. Turing 261:Maurice Wilkes 240: 237: 236: 235: 211: 210: 182: 181: 168:Some consider 165: 164: 141: 140: 114: 111: 88:cognitive load 73:software logic 26: 24: 18:Procedure call 14: 13: 10: 9: 6: 4: 3: 2: 4228: 4217: 4214: 4212: 4209: 4207: 4204: 4202: 4199: 4198: 4196: 4182: 4176: 4173: 4168: 4162: 4159: 4146: 4142: 4136: 4133: 4120: 4116: 4110: 4107: 4102: 4096: 4093: 4081: 4077: 4076:"Small Basic" 4071: 4068: 4055: 4054: 4047: 4044: 4031: 4027: 4021: 4018: 4013: 4009: 4005: 3999: 3995: 3991: 3984: 3981: 3969: 3967:9780132350884 3963: 3959: 3955: 3954: 3946: 3943: 3930: 3924: 3921: 3908: 3904: 3898: 3895: 3882: 3876: 3873: 3868: 3864: 3860: 3854: 3850: 3849: 3841: 3838: 3834: 3822: 3820:9780134917047 3816: 3812: 3811: 3803: 3800: 3796: 3792: 3789: 3784: 3781: 3765: 3764: 3756: 3750: 3747: 3734: 3727: 3726: 3719: 3716: 3710: 3703: 3696: 3693: 3680: 3676: 3672: 3665: 3663: 3659: 3652: 3647: 3643: 3639: 3638: 3633: 3629: 3625: 3619: 3616: 3611: 3607: 3601: 3598: 3593: 3591:0-19-856593-3 3587: 3582: 3581: 3575: 3571:reprinted in 3569: 3565: 3559: 3556: 3544: 3540: 3533: 3530: 3525: 3518: 3515: 3509: 3504: 3500: 3493: 3489: 3483: 3480: 3475: 3469: 3465: 3461: 3457: 3453: 3452:Mauchly, J.W. 3447: 3445: 3441: 3436: 3434:0-12-200550-3 3430: 3426: 3419: 3416: 3411: 3409:0-201-89683-4 3405: 3401: 3397: 3391: 3388: 3384: 3372: 3368: 3362: 3359: 3352: 3348: 3345: 3343: 3340: 3338: 3335: 3333: 3330: 3328: 3325: 3322: 3319: 3317: 3314: 3312: 3309: 3307: 3304: 3302: 3299: 3297: 3293: 3292:Event handler 3290: 3288: 3285: 3282: 3279: 3277: 3274: 3271: 3268: 3265: 3262: 3261: 3257: 3071: 3032: 3030: 3026: 3022: 2860: 2857: 2847: 2837: 2836: 2835: 2827: 2826: 2825: 2823: 2819: 2815: 2807: 2805: 2740: 2734: 2726: 2721: 2715: 2712: 2711: 2706: 2698: 2696: 2646: 2589: 2555: 2553:doSomething() 2527: 2525: 2524:free function 2521: 2517: 2513: 2509: 2504: 2498: 2494: 2490: 2482: 2480: 2420: 2380: 2352: 2337: 2332:. Therefore, 2315: 2311: 2306: 2304: 2300: 2296: 2288: 2283: 2273: 2269: 2265: 2261: 2253: 2251: 2213: 2203: 2199: 2191: 2189: 2059: 2057: 2053: 2049: 2048:sub procedure 2046:is short for 2045: 2037: 2029: 2024: 2022: 2020: 2016: 2012: 2008: 2004: 1999: 1997: 1991: 1989: 1985: 1981: 1976: 1970: 1968: 1966: 1962: 1958: 1953: 1951: 1944:Disadvantages 1943: 1938: 1934: 1931: 1927: 1924: 1921: 1918: 1915: 1914:reuse of code 1911: 1908: 1904: 1902: 1899:, along with 1898: 1894: 1891: 1890: 1889: 1883: 1878: 1873: 1871: 1869: 1865: 1861: 1857: 1853: 1847: 1842: 1837: 1835: 1833: 1829: 1825: 1817: 1815: 1813: 1805: 1803: 1800: 1796: 1792: 1785: 1783: 1781: 1778:by virtue of 1777: 1756: 1754: 1748: 1745: 1742: 1739: 1736: 1733: 1730: 1729: 1728: 1726: 1719:Call overhead 1718: 1710: 1708: 1705: 1701: 1697: 1692: 1688: 1685: 1683: 1679: 1671: 1669: 1667: 1666:John McCarthy 1663: 1662: 1655: 1647: 1645: 1638: 1633:PL/I has the 1465: 1459: 1454: 1452: 1451:strong typing 1447: 1445: 1441: 1437: 1433: 1429: 1423: 1415: 1413: 1411: 1407: 1404: 1401: 1397: 1393: 1392: 1383: 1381: 1379: 1375: 1371: 1367: 1361: 1353: 1351: 1349: 1348:stack pointer 1345: 1341: 1337: 1333: 1329: 1325: 1321: 1316: 1208: 1206: 1202: 1198: 1193: 1190: 1186: 1182: 1177: 1174: 1170: 1162: 1160: 1158: 1154: 1150: 1146: 1142: 1134: 1132: 1130: 1128: 1124: 1120: 1115: 1113: 1109: 1104: 1102: 1098: 1094: 1086: 1084: 1072: 1065: 1062: 1059: 1058: 1055: 1051: 1048: 1046: 1043: 1042: 1038: 1034: 1031: 1029: 1026: 1025: 1021: 1018: 1016: 1013: 1012: 1008: 1004: 1001: 999: 996: 995: 991: 987: 984: 982: 979: 978: 974: 971: 968: 967: 964: 962: 958: 954: 950: 942: 940: 933: 927: 922: 916: 908: 906: 900: 896: 892: 888: 884: 880: 876: 872: 868: 864: 860: 856: 852: 848: 840: 836: 832: 828: 824: 820: 817: 814:Propagate an 813: 810: 808:for variables 807: 803: 800: 797: 794: 791: 788: 784: 781: 778: 775: 771: 768: 764: 760: 757: 753: 750: 749: 748: 746: 738: 736: 734: 726: 724: 722: 718: 709: 707: 705: 701: 697: 693: 689: 685: 681: 676: 674: 665: 663: 661: 657: 653: 648: 646: 641: 639: 635: 629: 626: 621: 617: 615: 611: 606: 604: 600: 596: 592: 584: 582: 580: 576: 572: 568: 563: 559: 550: 542: 540: 535: 533: 529: 524: 522: 518: 510: 508: 504: 502: 498: 494: 493: 492:indirect jump 488: 480: 478: 476: 472: 471:punched cards 468: 463: 456: 454: 452: 448: 443: 441: 432: 430: 428: 424: 420: 416: 411: 409: 404: 400: 396: 392: 388: 384: 380: 376: 372: 367: 365: 361: 357: 355: 351: 347: 342: 338: 334: 330: 328: 323: 321: 317: 312: 310: 306: 302: 296: 294: 290: 286: 282: 278: 274: 270: 266: 265:David Wheeler 262: 258: 254: 250: 246: 238: 234: 230: 229: 225:use the term 224: 220: 216: 213: 212: 204: 200: 192: 188: 184: 183: 179: 175: 171: 167: 166: 162: 158: 154: 150: 146: 143: 142: 138: 134: 130: 127: 126: 125: 122: 120: 112: 110: 108: 104: 100: 96: 91: 89: 84: 82: 78: 74: 70: 69:callable unit 66: 62: 58: 54: 50: 46: 42: 37: 33: 19: 4175: 4161: 4149:. Retrieved 4144: 4135: 4123:. Retrieved 4118: 4109: 4095: 4083:. Retrieved 4079: 4070: 4058:. Retrieved 4052: 4046: 4034:. Retrieved 4029: 4020: 3993: 3983: 3971:. Retrieved 3952: 3945: 3935:29 September 3933:. Retrieved 3923: 3911:. Retrieved 3906: 3897: 3887:29 September 3885:. Retrieved 3875: 3847: 3840: 3831: 3824:. Retrieved 3809: 3802: 3783: 3771:. Retrieved 3769:. p. 37 3762: 3749: 3737:. Retrieved 3724: 3718: 3708: 3695: 3683:. Retrieved 3679:the original 3674: 3641: 3635: 3618: 3609: 3600: 3579: 3567: 3558: 3546:. Retrieved 3542: 3532: 3523: 3517: 3498: 3482: 3455: 3424: 3418: 3399: 3390: 3382: 3375:. Retrieved 3370: 3361: 3347:Transclusion 3231:parent_child 3204:parent_child 3111:parent_child 3078:parent_child 3040:parent_child 3033: 3028: 3024: 2997: 2978:father_child 2957:parent_child 2939:mother_child 2918:parent_child 2900:father_child 2882:father_child 2864:mother_child 2858: 2843: 2833: 2811: 2799: 2774:greet_martin 2730: 2719: 2708: 2702: 2690: 2636: 2584: 2550: 2523: 2519: 2515: 2505: 2496: 2486: 2470: 2415: 2375: 2338: 2314:by reference 2307: 2284: 2271: 2260:Visual Basic 2257: 2254:Visual Basic 2245: 2201: 2195: 2187: 2055: 2052:subprocedure 2051: 2047: 2043: 2033: 2000: 1992: 1977: 1974: 1957:housekeeping 1954: 1947: 1937:traceability 1887: 1867: 1864:compile time 1859: 1855: 1851: 1849: 1841: 1821: 1809: 1789: 1760: 1752: 1722: 1700:branch table 1693: 1689: 1686: 1676:Besides its 1675: 1659: 1657: 1642: 1632: 1455: 1448: 1443: 1440:sqrt_complex 1439: 1435: 1431: 1427: 1425: 1409: 1389: 1387: 1363: 1354:Nested scope 1312: 1194: 1178: 1168: 1166: 1148: 1140: 1138: 1131: 1127:side effects 1117:In strictly 1116: 1105: 1090: 1087:Side effects 1076: 1073:Return value 998:by reference 960: 956: 952: 946: 934: 923: 912: 898: 878: 874: 870: 866: 844: 806:naming scope 742: 730: 713: 703: 699: 695: 691: 687: 683: 679: 677: 669: 649: 642: 633: 630: 622: 618: 607: 603:private data 602: 598: 588: 570: 564: 560: 556: 548: 536: 525: 516: 514: 505: 490: 484: 474: 464: 460: 444: 436: 412: 368: 358: 344: 339: 336: 331: 324: 313: 297: 276: 272: 269:Stanley Gill 245:John Mauchly 242: 226: 203:subprocedure 202: 198: 197:, short for 187:Visual Basic 177: 169: 160: 156: 148: 144: 136: 132: 128: 123: 116: 92: 85: 68: 64: 60: 56: 52: 48: 44: 38: 36: 4216:Subroutines 4201:Source code 4080:Small Basic 4060:25 December 4036:25 December 3909:. Microsoft 3685:14 December 3023:. However, 2829:A :- B 2534:doSomething 2378:DoSomething 2359:DoSomething 2270:, the term 2192:Small Basic 2036:line number 2030:Early BASIC 1971:Conventions 1930:descriptive 1893:Decomposing 1874:Programming 1776:undecidable 1682:exceptional 1610:circle_area 1428:overloading 1416:Overloading 1093:side effect 972:Description 919:y = sqrt(x) 909:Call syntax 612:(RISC) and 599:stack frame 567:Lotus 1-2-3 526:In the IBM 473:. The name 425:(1970) and 364:von Neumann 346:Kay McNulty 316:Konrad Zuse 285:Alan Turing 283:. However, 172:to imply a 113:Terminology 103:source code 95:abstraction 4195:Categories 4151:8 February 4125:8 February 4085:8 February 4012:1050567095 3867:1036778036 3773:8 February 3739:8 February 3656:(11 pages) 3548:14 January 3377:9 February 3353:References 3281:Coroutines 3027:in Prolog 2710:descriptor 2562:giveMeFive 2399:GiveMeFive 2387:GiveMeFive 2248:SayHello() 2223:TextWindow 2212:keyword. 2202:subroutine 2056:subroutine 2019:parameters 1935:Improving 1884:Advantages 1879:Trade-offs 1704:System/360 1678:happy path 1444:qrt_matrix 1384:Reentrancy 1340:System/360 1153:call stack 969:Convention 949:parameters 943:Parameters 915:expression 875:subroutine 871:subprogram 756:identifier 754:Assign an 656:coroutines 591:call stack 585:Call stack 528:System/360 447:FORTRAN II 393:, and the 381:, and the 379:Intel 8008 375:Intel 4004 199:subroutine 161:subprogram 149:subroutine 137:subroutine 129:Subprogram 119:synonymous 99:programmer 65:subprogram 57:subroutine 3296:interrupt 3237:elizabeth 3135:elizabeth 3084:elizabeth 3067:elizabeth 3025:relations 2870:elizabeth 2693:addTwo(v) 2483:C and C++ 2477:AddTwo(v) 2287:data type 2272:procedure 2229:WriteLine 2021:instead. 1984:adjective 1912:Enabling 1905:Reducing 1436:sqrt_real 1391:reentrant 1207:numbers: 1205:Fibonacci 1173:Recursion 1015:by result 961:arguments 959:, a.k.a. 926:statement 879:procedure 857:and many 774:data type 772:Assign a 767:data type 723:control. 717:execution 706:returns. 457:Libraries 360:Goldstine 325:In 1945, 322:in 1945. 309:call site 153:directory 107:semantics 77:interface 49:procedure 3913:5 August 3566:(1945), 3490:(1952). 3398:(1997). 3371:nist.gov 3258:See also 3029:function 2497:function 2454:intValue 2448:intValue 2436:intValue 2411:Function 2384:Function 2310:by value 2280:Function 2220:SayHello 2025:Examples 2015:refactor 2007:codebase 1868:built in 1824:compiler 1799:optimize 1795:compiler 1791:Inlining 1786:Inlining 1725:overhead 1326:, e.g., 1007:Algol 60 990:Algol 60 981:by value 975:Used in 899:function 867:function 859:dialects 785:Provide 769:for each 710:Features 521:overhead 451:ALGOL 58 421:(1966), 413:The DEC 395:IBM 1130 387:UNIVAC I 371:IBM 1620 305:RCA 1802 303:and the 207:Function 178:function 170:function 81:behavior 45:function 32:Function 4030:ibm.com 3958:Pearson 3791:AI Memo 3675:Fortune 3243:charles 3210:william 3195:william 3183:charles 3159:charles 3147:charles 3102:charles 3052:charles 2906:charles 2894:william 2888:charles 2876:charles 2442:Integer 2396:Integer 2299:variant 2204:. The 1812:library 1806:Sharing 1694:In the 1661:closure 1648:Closure 1635:GENERIC 1315:Fortran 1151:on the 1123:Haskell 1052:Algol, 1045:by name 1035:Algol, 851:Fortran 827:library 761:Define 721:returns 562:calls. 539:HP 2100 239:History 157:program 145:Routine 133:routine 67:) is a 61:routine 4206:Holism 4010:  4000:  3973:19 May 3964:  3865:  3855:  3826:6 July 3817:  3588:  3470:  3431:  3406:  3373:. NIST 3007:mother 2848:with 2839:A if B 2822:clause 2808:Prolog 2759:return 2733:Python 2727:Python 2653:addTwo 2596:addTwo 2571:return 2520:method 2427:AddTwo 2291:Object 2241:EndSub 2210:EndSub 2183:RETURN 2129:SQUARE 2105:NUMBER 2042:where 1607:double 1580:double 1544:return 1532:double 1523:double 1502:return 1490:double 1481:double 1472:double 1378:Python 1370:Pascal 1336:GE 635 1266:return 1254:return 1169:nested 1145:memory 847:Pascal 841:Naming 831:object 823:module 793:Return 745:syntax 634:active 579:IBM PC 571:return 440:macros 427:VAX-11 423:PDP-11 419:PDP-10 389:, the 373:, the 267:, and 233:object 228:method 53:method 47:(also 3793:443. 3767:(PDF) 3758:(PDF) 3729:(PDF) 3705:(PDF) 3495:(PDF) 3272:(CQS) 3216:harry 3171:harry 2912:harry 2846:unify 2780:print 2662:& 2512:class 2475:like 2433:ByRef 2349:ByVal 2345:ByVal 2341:ByRef 2334:ByVal 2330:ByVal 2326:ByRef 2322:ByRef 2318:ByVal 2153:PRINT 2120:PRINT 2090:INPUT 2072:GOSUB 2040:GOSUB 1858:, or 1854:, or 1332:PDP-6 1242:<= 1181:ALGOL 1054:Scala 1037:Swift 928:like 863:BASIC 835:class 833:, or 650:In a 625:Forth 532:stack 415:PDP-6 408:B5000 391:PDP-1 354:ENIAC 350:ENIAC 281:macro 257:EDVAC 253:ENIAC 63:, or 4153:2024 4127:2024 4087:2024 4062:2023 4038:2023 4008:OCLC 3998:ISBN 3975:2024 3962:ISBN 3937:2013 3915:2019 3889:2013 3863:OCLC 3853:ISBN 3828:2016 3815:ISBN 3775:2024 3741:2024 3687:2018 3586:ISBN 3550:2013 3468:ISBN 3429:ISBN 3404:ISBN 3379:2024 2820:(or 2818:rule 2768:name 2753:name 2705:PL/I 2699:PL/I 2650:void 2593:void 2531:void 2501:void 2491:and 2320:and 2312:and 2301:for 2297:and 2295:.NET 2266:and 2168:SQRT 2132:ROOT 2096:GIVE 2081:GOTO 1988:noun 1980:verb 1616:Area 1589:Area 1571:main 1559:3.14 1526:Area 1475:Area 1462:Area 1432:sqrt 1403:CICS 1374:PL/I 1187:and 1185:PL/I 1101:file 1080:void 903:void 895:Lisp 893:and 377:and 362:and 247:and 223:Java 221:and 189:and 159:and 147:and 135:and 79:and 43:, a 3646:doi 3503:doi 3460:doi 3249:yes 2777:(): 2771:def 2744:def 2737:def 2731:In 2703:In 2659:int 2641:as 2602:int 2559:int 2518:or 2508:C++ 2506:In 2493:C++ 2487:In 2466:Sub 2463:End 2424:Sub 2408:End 2371:Sub 2368:End 2356:Sub 2303:VB6 2276:Sub 2268:VB6 2217:Sub 2206:Sub 2196:In 2180:130 2150:120 2126:THE 2117:110 2087:100 2075:100 2054:or 2044:sub 1797:to 1568:int 1458:C++ 1400:IBM 1366:Ada 1322:or 1290:Fib 1269:Fib 1221:int 1215:Fib 1212:int 887:C++ 877:or 869:or 861:of 855:Ada 682:or 658:or 318:'s 289:ACE 279:or 201:or 195:Sub 191:Ada 71:of 39:In 4197:: 4143:. 4117:. 4078:. 4028:. 4006:. 3960:. 3905:. 3861:. 3830:. 3760:. 3707:. 3673:. 3661:^ 3642:20 3640:. 3634:. 3626:; 3541:. 3497:. 3466:. 3443:^ 3381:. 3369:. 3246:). 3228:?- 3222:no 3219:). 3201:?- 3126:). 3108:?- 3093:). 3075:?- 3037:?- 2993:). 2975::- 2954:). 2936::- 2915:). 2897:). 2879:). 2856:. 2795:)) 2756:): 2677:+= 2623:+= 2620:pi 2608:pi 2565:() 2537:() 2439:as 2393:as 2390:() 2362:() 2305:. 2250:. 2159:IS 2135:OF 2099:ME 2084:20 2078:30 2069:20 2063:10 2050:, 1850:A 1834:. 1822:A 1658:A 1625:); 1604:); 1574:() 1446:. 1442:, 1438:, 1408:, 1376:, 1372:, 1368:, 1350:. 1342:, 1338:, 1334:, 1330:, 1305:); 1233:if 1183:, 1159:. 1143:– 939:. 921:. 891:C# 889:, 885:, 853:, 849:, 829:, 825:, 640:. 581:. 534:. 320:Z4 311:. 295:. 263:, 219:C# 193:, 155:; 131:, 59:, 55:, 51:, 4183:. 4169:. 4155:. 4129:. 4089:. 4064:. 4040:. 4014:. 3977:. 3939:. 3917:. 3891:. 3869:. 3777:. 3743:. 3689:. 3654:. 3648:: 3594:. 3552:. 3511:. 3505:: 3476:. 3462:: 3437:. 3412:. 3252:. 3240:, 3234:( 3225:. 3213:, 3207:( 3198:. 3192:= 3189:Y 3186:, 3180:= 3177:X 3174:. 3168:= 3165:Y 3162:, 3156:= 3153:X 3150:. 3144:= 3141:Y 3138:, 3132:= 3129:X 3123:Y 3120:, 3117:X 3114:( 3105:. 3099:= 3096:Y 3090:Y 3087:, 3081:( 3064:= 3061:X 3055:) 3049:, 3046:X 3043:( 3016:) 3013:Y 3010:( 3004:= 3001:X 2990:Y 2987:, 2984:X 2981:( 2972:) 2969:Y 2966:, 2963:X 2960:( 2951:Y 2948:, 2945:X 2942:( 2933:) 2930:Y 2927:, 2924:X 2921:( 2909:, 2903:( 2891:, 2885:( 2873:, 2867:( 2854:B 2850:A 2789:( 2783:( 2765:+ 2750:( 2686:} 2683:; 2680:2 2674:i 2671:{ 2668:) 2665:i 2656:( 2639:v 2632:} 2629:; 2626:2 2617:* 2614:{ 2611:) 2605:* 2599:( 2580:} 2577:; 2574:5 2568:{ 2546:} 2540:{ 2489:C 2473:v 2460:2 2457:+ 2451:= 2445:) 2430:( 2405:5 2402:= 2238:) 2232:( 2226:. 2177:) 2174:N 2171:( 2165:; 2162:” 2156:“ 2147:; 2144:N 2141:; 2138:” 2123:“ 2114:N 2111:; 2108:” 2102:A 2093:“ 1772:x 1767:f 1628:} 1622:5 1619:( 1613:= 1601:4 1598:, 1595:3 1592:( 1586:= 1577:{ 1565:} 1562:; 1556:* 1553:r 1550:* 1547:r 1541:{ 1538:) 1535:r 1529:( 1517:} 1514:; 1511:w 1508:* 1505:h 1499:{ 1496:) 1493:w 1487:, 1484:h 1478:( 1308:} 1302:2 1299:- 1296:n 1293:( 1287:+ 1284:) 1281:1 1278:- 1275:n 1272:( 1263:} 1260:; 1257:n 1251:{ 1248:) 1245:1 1239:n 1236:( 1230:{ 1227:) 1224:n 1218:( 1189:C 883:C 704:Q 700:Q 696:P 692:P 688:P 34:. 20:)

Index

Procedure call
Function
computer programming
software logic
interface
behavior
cognitive load
abstraction
programmer
source code
semantics
synonymous
directory
mathematical function
Visual Basic
Ada
Object-oriented
C#
Java
method
object
John Mauchly
Kathleen Antonelli
ENIAC
EDVAC
Maurice Wilkes
David Wheeler
Stanley Gill
macro
Alan Turing

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