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Stacy Everett
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# Calculator Grammar | ||
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# Summary | ||
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A simple ANTLR4 calculator grammar based on the khubla.com arithmetic grammar. Calculator expands on arithmetic by adding functions, such as sin() and ln() | ||
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The calculator example is intended of an example of how to parse geometric and algebraic expressions with ANTLR | ||
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/* | ||
BSD License | ||
Copyright (c) 2013, Tom Everett | ||
All rights reserved. | ||
Redistribution and use in source and binary forms, with or without | ||
modification, are permitted provided that the following conditions | ||
are met: | ||
1. Redistributions of source code must retain the above copyright | ||
notice, this list of conditions and the following disclaimer. | ||
2. Redistributions in binary form must reproduce the above copyright | ||
notice, this list of conditions and the following disclaimer in the | ||
documentation and/or other materials provided with the distribution. | ||
3. Neither the name of Tom Everett nor the names of its contributors | ||
may be used to endorse or promote products derived from this software | ||
without specific prior written permission. | ||
THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS | ||
"AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT | ||
LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR | ||
A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT | ||
HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, | ||
SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT | ||
LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, | ||
DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY | ||
THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT | ||
(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE | ||
OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. | ||
*/ | ||
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grammar calculator; | ||
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expression | ||
: addingExpression ((relop) addingExpression)* | ||
; | ||
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addingExpression | ||
: multiplyingExpression ((PLUS|MINUS) multiplyingExpression)* | ||
; | ||
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multiplyingExpression | ||
: powExpression ((TIMES|DIV) powExpression)* | ||
; | ||
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powExpression | ||
: expExpression (POW expExpression)? | ||
; | ||
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expExpression | ||
: constantExpression (E number)? | ||
; | ||
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constantExpression | ||
: number | ||
| variable | ||
| LPAREN expression RPAREN | ||
| func | ||
; | ||
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func | ||
: funcname LPAREN expression RPAREN | ||
; | ||
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funcname | ||
: COS | TAN | SIN | ACOS | ATAN | ASIN | LOG | LN | ||
; | ||
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relop | ||
: EQ | GT | LT | ||
; | ||
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number | ||
: MINUS? digits (POINT digits)? | ||
; | ||
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digits | ||
: DIGIT+; | ||
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variable | ||
: MINUS? LETTER (LETTER | DIGIT)*; | ||
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COS | ||
: 'cos' | ||
; | ||
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SIN | ||
: 'sin' | ||
; | ||
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TAN | ||
: 'tan' | ||
; | ||
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ACOS | ||
: 'acos' | ||
; | ||
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ASIN | ||
: 'asin' | ||
; | ||
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ATAN | ||
: 'atan' | ||
; | ||
LN | ||
: 'ln' | ||
; | ||
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LOG | ||
: 'log' | ||
; | ||
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LPAREN | ||
: '(' | ||
; | ||
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RPAREN | ||
: ')' | ||
; | ||
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PLUS | ||
: '+' | ||
; | ||
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MINUS | ||
: '-' | ||
; | ||
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TIMES | ||
: '*' | ||
; | ||
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DIV | ||
: '/' | ||
; | ||
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GT | ||
: '>' | ||
; | ||
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LT | ||
: '<' | ||
; | ||
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EQ | ||
: '=' | ||
; | ||
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POINT | ||
: '.' | ||
; | ||
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E | ||
: 'e' | ||
| 'E' | ||
; | ||
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POW | ||
: '^' | ||
; | ||
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LETTER | ||
: ('a'..'z') | ('A'..'Z') | ||
; | ||
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DIGIT | ||
: ('0'..'9') | ||
; | ||
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WS | ||
: [ \r\n\t]+ -> channel(HIDDEN) | ||
; |
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sin (x)^2 + cos(x)^2 = 1 | ||
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x = (-b + (b^2 -4*a*c)^0.50) / 4*a*c | ||
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sin (a1) / sin (a2) = v1 / v2 | ||
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tan (x) = sin(x) / cos (x) | ||
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<project xmlns="http://maven.apache.org/POM/4.0.0" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" | ||
xsi:schemaLocation="http://maven.apache.org/POM/4.0.0 http://maven.apache.org/xsd/maven-4.0.0.xsd"> | ||
<modelVersion>4.0.0</modelVersion> | ||
<artifactId>calculator</artifactId> | ||
<packaging>jar</packaging> | ||
<name>khubla.com Calculator grammar</name> | ||
<parent> | ||
<groupId>com.antlr.grammarsv4</groupId> | ||
<artifactId>grammarsv4</artifactId> | ||
<version>1.0-SNAPSHOT</version> | ||
<relativePath>../pom.xml</relativePath> | ||
</parent> | ||
<build> | ||
<plugins> | ||
<plugin> | ||
<groupId>org.antlr</groupId> | ||
<artifactId>antlr4-maven-plugin</artifactId> | ||
<version>${antlr.version}</version> | ||
<configuration> | ||
<sourceDirectory>${basedir}</sourceDirectory> | ||
<grammars>calculator.g4</grammars> | ||
</configuration> | ||
<executions> | ||
<execution> | ||
<goals> | ||
<goal>antlr4</goal> | ||
</goals> | ||
</execution> | ||
</executions> | ||
</plugin> | ||
<plugin> | ||
<groupId>org.antlr</groupId> | ||
<artifactId>antlr4test-maven-plugin</artifactId> | ||
<configuration> | ||
<verbose>false</verbose> | ||
<showTree>true</showTree> | ||
<entryPoint>expression</entryPoint> | ||
<grammarName>calculator</grammarName> | ||
<packageName></packageName> | ||
<exampleFiles>examples/</exampleFiles> | ||
</configuration> | ||
<executions> | ||
<execution> | ||
<goals> | ||
<goal>test</goal> | ||
</goals> | ||
</execution> | ||
</executions> | ||
</plugin> | ||
</plugins> | ||
</build> | ||
</project> |
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