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Using the right-associative production to parse the same expression results in this tree: ( 9 / / 9 - 4 - 2 ) expression | \ | \ (4 - 2) term add_op expression
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The result is 3 in the left-associative grammar, and 7 in the right-associative grammar. SUMMARY The machine instruction sets themselves constituted the first generation programming languages. Programs were conceived as sequences of machine operations, and programmers worked directly with the hardware, often entering code in ones and zeros directly through the front panel switches. Assembly languages, using mnemonic character strings to represent machine instructions, made up the second generation of programming languages. Beginning with FORTRAN in 1954, third-generation languages allowed programmers to work at a higher level, with languages that were much more independent of the computer hardware. Programs can be compiled or interpreted. Compilers generate machine instructions that can run directly on the computer, independent of further availability of the compiler program. Interpreters, on the other hand, are programs that read and execute source code a line at a time. Java is an environment that uses both. Java source code is compiled into machine-independent bytecode, and the Java Virtual Machine interprets the bytecode at execution. Many JVM implementations today also compile bytecode to machine instructions. Some languages are described as imperative, and of these we discussed procedural, object-oriented, and scripting languages. Other languages are described as declarative, and of these we discussed functional languages. When designing a new language, computer scientists value execution efficiency, human readability, ease of implementation, expressiveness, regularity, extensibility, standardization, hardware and operating system independence, and security. It is not possible to achieve all virtues simultaneously, so language design means making wise tradeoffs for the intended use. Language processing programs like compilers and interpreters go through the phases of scanning, parsing, and code generation. Scanning is also known as lexical analysis, and the output of the scanner is a stream of tokens in the language (key words, variable names, etc.). Parsing is also known as syntactical analysis, and the parser must verify that the stream of tokens conforms to the rules of the language grammar. The output of the parser is a parse tree. Finally, code generation, also known as semantic analysis, consists of traversing the parse tree from the bottom up, creating the necessary machine instructions. Half a century into the computer age, the world of software encompasses a wide variety of general-purpose and special-purpose languages based on formal definitions and grammars. Interpreters, compilers, virtual machines, or all three, support the myriad programs written in these languages. The future will probably bring further differentiation and specialization of languages and programs as computer scientists further refine their thinking about how best to translate human intention into machine instructions. REVIEW QUESTIONS 4.1 Why was it important to the history of programming languages that, even at its introduction, FORTRAN generated efficient programs 4.2 Given what you know of computer languages, what language would be a good choice for: a Processing a file of text, such as a system error log, looking for particular types of events b Developing an artificial intelligence application to diagnose disease, given a list of symptoms c Writing driver software for a new computer printer 4.3 Here is a C function that computes the sum of a range of integers. You can assume that begin will always be less than or equal to end (begin <= end):
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int summation( int begin, int end ) { int result = begin; begin = begin + 1; while( begin <= end ) { result = result + begin; begin = begin + 1; } return result; } Rewrite this function so that it uses recursion instead of iteration. 4.4 Assume that a language describes a statement-sequence as a sequence of one or more statements separated by semicolons (assume statements are defined elsewhere), but with no punctuation at the end of the statement-sequence. Write the EBNF production. Given the following grammar: expr term factor number digit
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