Dev #194
@ -5,7 +5,7 @@
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Bintray: [ ![Download](https://api.bintray.com/packages/mipt-npm/scientifik/kmath-core/images/download.svg) ](https://bintray.com/mipt-npm/scientifik/kmath-core/_latestVersion)
|
||||
|
||||
Bintray-dev: [ ![Download](https://api.bintray.com/packages/mipt-npm/dev/kmath-core/images/download.svg) ](https://bintray.com/mipt-npm/scientifik/kmath-core/_latestVersion)
|
||||
Bintray-dev: [ ![Download](https://api.bintray.com/packages/mipt-npm/dev/kmath-core/images/download.svg) ](https://bintray.com/mipt-npm/dev/kmath-core/_latestVersion)
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# KMath
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Could be pronounced as `key-math`.
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@ -12,6 +12,7 @@ allprojects {
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jcenter()
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maven("https://dl.bintray.com/kotlin/kotlinx")
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mavenCentral()
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maven("https://dl.bintray.com/hotkeytlt/maven")
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}
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group = "scientifik"
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@ -1,10 +1,4 @@
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plugins {
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id("scientifik.mpp")
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}
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repositories {
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maven("https://dl.bintray.com/hotkeytlt/maven")
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}
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plugins { id("scientifik.mpp") }
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kotlin.sourceSets {
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// all {
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@ -15,23 +9,15 @@ kotlin.sourceSets {
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commonMain {
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dependencies {
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api(project(":kmath-core"))
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implementation("com.github.h0tk3y.betterParse:better-parse-multiplatform:0.4.0-alpha-3")
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implementation("com.github.h0tk3y.betterParse:better-parse-multiplatform-metadata:0.4.0-alpha-3")
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implementation("com.github.h0tk3y.betterParse:better-parse:0.4.0")
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}
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}
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jvmMain {
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dependencies {
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implementation("com.github.h0tk3y.betterParse:better-parse-jvm:0.4.0-alpha-3")
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implementation("org.ow2.asm:asm:8.0.1")
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implementation("org.ow2.asm:asm-commons:8.0.1")
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implementation(kotlin("reflect"))
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}
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}
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jsMain {
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dependencies {
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implementation("com.github.h0tk3y.betterParse:better-parse-js:0.4.0-alpha-3")
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}
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}
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}
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59
kmath-ast/reference/ArithmeticsEvaluator.g4
Normal file
59
kmath-ast/reference/ArithmeticsEvaluator.g4
Normal file
@ -0,0 +1,59 @@
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grammar ArithmeticsEvaluator;
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fragment DIGIT: '0'..'9';
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fragment LETTER: 'a'..'z';
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fragment CAPITAL_LETTER: 'A'..'Z';
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fragment UNDERSCORE: '_';
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ID: (LETTER | UNDERSCORE | CAPITAL_LETTER) (LETTER | UNDERSCORE | DIGIT | CAPITAL_LETTER)*;
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NUM: (DIGIT | '.')+ ([eE] [-+]? DIGIT+)?;
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MUL: '*';
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DIV: '/';
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PLUS: '+';
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MINUS: '-';
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POW: '^';
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COMMA: ',';
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LPAR: '(';
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RPAR: ')';
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WS: [ \n\t\r]+ -> skip;
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num
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: NUM
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;
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singular
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: ID
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;
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unaryFunction
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: ID LPAR subSumChain RPAR
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;
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binaryFunction
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: ID LPAR subSumChain COMMA subSumChain RPAR
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;
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term
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: num
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| singular
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| unaryFunction
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| binaryFunction
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| MINUS term
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| LPAR subSumChain RPAR
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;
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powChain
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: term (POW term)*
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;
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divMulChain
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: powChain ((DIV | MUL) powChain)*
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;
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subSumChain
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: divMulChain ((PLUS | MINUS) divMulChain)*
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;
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rootParser
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: subSumChain EOF
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;
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@ -41,26 +41,27 @@ sealed class MST {
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//TODO add a function with named arguments
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fun <T> Algebra<T>.evaluate(node: MST): T {
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return when (node) {
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is MST.Numeric -> (this as? NumericAlgebra<T>)?.number(node.value)
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?: error("Numeric nodes are not supported by $this")
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is MST.Symbolic -> symbol(node.value)
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is MST.Unary -> unaryOperation(node.operation, evaluate(node.value))
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is MST.Binary -> when {
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this !is NumericAlgebra -> binaryOperation(node.operation, evaluate(node.left), evaluate(node.right))
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node.left is MST.Numeric && node.right is MST.Numeric -> {
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val number = RealField.binaryOperation(
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node.operation,
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node.left.value.toDouble(),
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node.right.value.toDouble()
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)
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number(number)
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}
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node.left is MST.Numeric -> leftSideNumberOperation(node.operation, node.left.value, evaluate(node.right))
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node.right is MST.Numeric -> rightSideNumberOperation(node.operation, evaluate(node.left), node.right.value)
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else -> binaryOperation(node.operation, evaluate(node.left), evaluate(node.right))
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fun <T> Algebra<T>.evaluate(node: MST): T = when (node) {
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is MST.Numeric -> (this as? NumericAlgebra<T>)?.number(node.value)
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?: error("Numeric nodes are not supported by $this")
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is MST.Symbolic -> symbol(node.value)
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is MST.Unary -> unaryOperation(node.operation, evaluate(node.value))
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is MST.Binary -> when {
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this !is NumericAlgebra -> binaryOperation(node.operation, evaluate(node.left), evaluate(node.right))
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node.left is MST.Numeric && node.right is MST.Numeric -> {
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val number = RealField.binaryOperation(
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node.operation,
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node.left.value.toDouble(),
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node.right.value.toDouble()
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)
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number(number)
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}
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node.left is MST.Numeric -> leftSideNumberOperation(node.operation, node.left.value, evaluate(node.right))
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node.right is MST.Numeric -> rightSideNumberOperation(node.operation, evaluate(node.left), node.right.value)
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else -> binaryOperation(node.operation, evaluate(node.left), evaluate(node.right))
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}
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}
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|
@ -5,6 +5,9 @@ import com.github.h0tk3y.betterParse.grammar.Grammar
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import com.github.h0tk3y.betterParse.grammar.parseToEnd
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import com.github.h0tk3y.betterParse.grammar.parser
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import com.github.h0tk3y.betterParse.grammar.tryParseToEnd
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import com.github.h0tk3y.betterParse.lexer.Token
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import com.github.h0tk3y.betterParse.lexer.TokenMatch
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import com.github.h0tk3y.betterParse.lexer.regexToken
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import com.github.h0tk3y.betterParse.parser.ParseResult
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import com.github.h0tk3y.betterParse.parser.Parser
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import scientifik.kmath.operations.FieldOperations
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@ -13,43 +16,65 @@ import scientifik.kmath.operations.RingOperations
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import scientifik.kmath.operations.SpaceOperations
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/**
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* TODO move to common
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* TODO move to core
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*/
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private object ArithmeticsEvaluator : Grammar<MST>() {
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val num by token("-?[\\d.]+(?:[eE]-?\\d+)?".toRegex())
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val lpar by token("\\(".toRegex())
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val rpar by token("\\)".toRegex())
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val mul by token("\\*".toRegex())
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val pow by token("\\^".toRegex())
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val div by token("/".toRegex())
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val minus by token("-".toRegex())
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val plus by token("\\+".toRegex())
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val ws by token("\\s+".toRegex(), ignore = true)
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object ArithmeticsEvaluator : Grammar<MST>() {
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// TODO replace with "...".toRegex() when better-parse 0.4.1 is released
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private val num: Token by regexToken("[\\d.]+(?:[eE][-+]?\\d+)?")
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private val id: Token by regexToken("[a-z_A-Z][\\da-z_A-Z]*")
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private val lpar: Token by regexToken("\\(")
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private val rpar: Token by regexToken("\\)")
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private val comma: Token by regexToken(",")
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private val mul: Token by regexToken("\\*")
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private val pow: Token by regexToken("\\^")
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private val div: Token by regexToken("/")
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private val minus: Token by regexToken("-")
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private val plus: Token by regexToken("\\+")
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private val ws: Token by regexToken("\\s+", ignore = true)
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val number: Parser<MST> by num use { MST.Numeric(text.toDouble()) }
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private val number: Parser<MST> by num use { MST.Numeric(text.toDouble()) }
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private val singular: Parser<MST> by id use { MST.Symbolic(text) }
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|
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val term: Parser<MST> by number or
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(skip(minus) and parser(this::term) map { MST.Unary(SpaceOperations.MINUS_OPERATION, it) }) or
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(skip(lpar) and parser(this::rootParser) and skip(rpar))
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private val unaryFunction: Parser<MST> by (id and skip(lpar) and parser(::subSumChain) and skip(rpar))
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.map { (id, term) -> MST.Unary(id.text, term) }
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val powChain by leftAssociative(term, pow) { a, _, b ->
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private val binaryFunction: Parser<MST> by id
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.and(skip(lpar))
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.and(parser(::subSumChain))
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.and(skip(comma))
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.and(parser(::subSumChain))
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.and(skip(rpar))
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.map { (id, left, right) -> MST.Binary(id.text, left, right) }
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private val term: Parser<MST> by number
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.or(binaryFunction)
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.or(unaryFunction)
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.or(singular)
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.or(skip(minus) and parser(::term) map { MST.Unary(SpaceOperations.MINUS_OPERATION, it) })
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.or(skip(lpar) and parser(::subSumChain) and skip(rpar))
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private val powChain: Parser<MST> by leftAssociative(term = term, operator = pow) { a, _, b ->
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MST.Binary(PowerOperations.POW_OPERATION, a, b)
|
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}
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|
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val divMulChain: Parser<MST> by leftAssociative(powChain, div or mul use { type }) { a, op, b ->
|
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if (op == div) {
|
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private val divMulChain: Parser<MST> by leftAssociative(
|
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term = powChain,
|
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operator = div or mul use TokenMatch::type
|
||||
) { a, op, b ->
|
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if (op == div)
|
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MST.Binary(FieldOperations.DIV_OPERATION, a, b)
|
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} else {
|
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else
|
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MST.Binary(RingOperations.TIMES_OPERATION, a, b)
|
||||
}
|
||||
}
|
||||
|
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val subSumChain: Parser<MST> by leftAssociative(divMulChain, plus or minus use { type }) { a, op, b ->
|
||||
if (op == plus) {
|
||||
private val subSumChain: Parser<MST> by leftAssociative(
|
||||
term = divMulChain,
|
||||
operator = plus or minus use TokenMatch::type
|
||||
) { a, op, b ->
|
||||
if (op == plus)
|
||||
MST.Binary(SpaceOperations.PLUS_OPERATION, a, b)
|
||||
} else {
|
||||
else
|
||||
MST.Binary(SpaceOperations.MINUS_OPERATION, a, b)
|
||||
}
|
||||
}
|
||||
|
||||
override val rootParser: Parser<MST> by subSumChain
|
||||
|
@ -8,7 +8,6 @@ import scientifik.kmath.ast.MST
|
||||
import scientifik.kmath.ast.MstExpression
|
||||
import scientifik.kmath.expressions.Expression
|
||||
import scientifik.kmath.operations.Algebra
|
||||
import scientifik.kmath.operations.NumericAlgebra
|
||||
import kotlin.reflect.KClass
|
||||
|
||||
/**
|
||||
@ -17,7 +16,19 @@ import kotlin.reflect.KClass
|
||||
fun <T : Any> MST.compileWith(type: KClass<T>, algebra: Algebra<T>): Expression<T> {
|
||||
fun AsmBuilder<T>.visit(node: MST) {
|
||||
when (node) {
|
||||
is MST.Symbolic -> loadVariable(node.value)
|
||||
is MST.Symbolic -> {
|
||||
val symbol = try {
|
||||
algebra.symbol(node.value)
|
||||
} catch (ignored: Throwable) {
|
||||
null
|
||||
}
|
||||
|
||||
if (symbol != null)
|
||||
loadTConstant(symbol)
|
||||
else
|
||||
loadVariable(node.value)
|
||||
}
|
||||
|
||||
is MST.Numeric -> loadNumeric(node.value)
|
||||
|
||||
is MST.Unary -> buildAlgebraOperationCall(
|
||||
|
@ -288,7 +288,7 @@ internal class AsmBuilder<T> internal constructor(
|
||||
/**
|
||||
* Loads a [T] constant from [constants].
|
||||
*/
|
||||
private fun loadTConstant(value: T) {
|
||||
internal fun loadTConstant(value: T) {
|
||||
if (classOfT in INLINABLE_NUMBERS) {
|
||||
val expectedType = expectationStack.pop()
|
||||
val mustBeBoxed = expectedType.sort == Type.OBJECT
|
||||
@ -340,7 +340,7 @@ internal class AsmBuilder<T> internal constructor(
|
||||
checkcast(type)
|
||||
}
|
||||
|
||||
fun loadNumeric(value: Number) {
|
||||
internal fun loadNumeric(value: Number) {
|
||||
if (expectationStack.peek() == NUMBER_TYPE) {
|
||||
loadNumberConstant(value, true)
|
||||
expectationStack.pop()
|
||||
|
@ -0,0 +1,36 @@
|
||||
package scietifik.kmath.ast
|
||||
|
||||
import scientifik.kmath.ast.evaluate
|
||||
import scientifik.kmath.ast.parseMath
|
||||
import scientifik.kmath.operations.Field
|
||||
import scientifik.kmath.operations.RealField
|
||||
import kotlin.test.Test
|
||||
import kotlin.test.assertEquals
|
||||
|
||||
internal class ParserPrecedenceTest {
|
||||
private val f: Field<Double> = RealField
|
||||
|
||||
@Test
|
||||
fun test1(): Unit = assertEquals(6.0, f.evaluate("2*2+2".parseMath()))
|
||||
|
||||
@Test
|
||||
fun test2(): Unit = assertEquals(6.0, f.evaluate("2+2*2".parseMath()))
|
||||
|
||||
@Test
|
||||
fun test3(): Unit = assertEquals(10.0, f.evaluate("2^3+2".parseMath()))
|
||||
|
||||
@Test
|
||||
fun test4(): Unit = assertEquals(10.0, f.evaluate("2+2^3".parseMath()))
|
||||
|
||||
@Test
|
||||
fun test5(): Unit = assertEquals(16.0, f.evaluate("2^3*2".parseMath()))
|
||||
|
||||
@Test
|
||||
fun test6(): Unit = assertEquals(16.0, f.evaluate("2*2^3".parseMath()))
|
||||
|
||||
@Test
|
||||
fun test7(): Unit = assertEquals(18.0, f.evaluate("2+2^3*2".parseMath()))
|
||||
|
||||
@Test
|
||||
fun test8(): Unit = assertEquals(18.0, f.evaluate("2*2^3+2".parseMath()))
|
||||
}
|
@ -4,8 +4,10 @@ import scientifik.kmath.ast.evaluate
|
||||
import scientifik.kmath.ast.mstInField
|
||||
import scientifik.kmath.ast.parseMath
|
||||
import scientifik.kmath.expressions.invoke
|
||||
import scientifik.kmath.operations.Algebra
|
||||
import scientifik.kmath.operations.Complex
|
||||
import scientifik.kmath.operations.ComplexField
|
||||
import scientifik.kmath.operations.RealField
|
||||
import kotlin.test.Test
|
||||
import kotlin.test.assertEquals
|
||||
|
||||
@ -22,4 +24,37 @@ internal class ParserTest {
|
||||
val res = ComplexField.mstInField { number(2) + number(2) * (number(2) + number(2)) }()
|
||||
assertEquals(Complex(10.0, 0.0), res)
|
||||
}
|
||||
|
||||
@Test
|
||||
fun `evaluate MST with singular`() {
|
||||
val mst = "i".parseMath()
|
||||
val res = ComplexField.evaluate(mst)
|
||||
assertEquals(ComplexField.i, res)
|
||||
}
|
||||
|
||||
|
||||
@Test
|
||||
fun `evaluate MST with unary function`() {
|
||||
val mst = "sin(0)".parseMath()
|
||||
val res = RealField.evaluate(mst)
|
||||
assertEquals(0.0, res)
|
||||
}
|
||||
|
||||
@Test
|
||||
fun `evaluate MST with binary function`() {
|
||||
val magicalAlgebra = object : Algebra<String> {
|
||||
override fun symbol(value: String): String = value
|
||||
|
||||
override fun unaryOperation(operation: String, arg: String): String = throw NotImplementedError()
|
||||
|
||||
override fun binaryOperation(operation: String, left: String, right: String): String = when (operation) {
|
||||
"magic" -> "$left ★ $right"
|
||||
else -> throw NotImplementedError()
|
||||
}
|
||||
}
|
||||
|
||||
val mst = "magic(a, b)".parseMath()
|
||||
val res = magicalAlgebra.evaluate(mst)
|
||||
assertEquals("a ★ b", res)
|
||||
}
|
||||
}
|
||||
|
@ -1,5 +1,6 @@
|
||||
package scientifik.kmath.operations
|
||||
|
||||
import scientifik.kmath.operations.RealField.pow
|
||||
import kotlin.math.abs
|
||||
import kotlin.math.pow as kpow
|
||||
|
||||
@ -85,6 +86,11 @@ object RealField : ExtendedField<Double>, Norm<Double, Double> {
|
||||
override inline fun Double.times(b: Double) = this * b
|
||||
|
||||
override inline fun Double.div(b: Double) = this / b
|
||||
|
||||
override fun binaryOperation(operation: String, left: Double, right: Double): Double = when (operation) {
|
||||
PowerOperations.POW_OPERATION -> left pow right
|
||||
else -> super.binaryOperation(operation, left, right)
|
||||
}
|
||||
}
|
||||
|
||||
@Suppress("EXTENSION_SHADOWED_BY_MEMBER", "OVERRIDE_BY_INLINE", "NOTHING_TO_INLINE")
|
||||
|
@ -8,30 +8,48 @@ import java.math.MathContext
|
||||
* A field wrapper for Java [BigInteger]
|
||||
*/
|
||||
object JBigIntegerField : Field<BigInteger> {
|
||||
override val zero: BigInteger = BigInteger.ZERO
|
||||
override val one: BigInteger = BigInteger.ONE
|
||||
override val zero: BigInteger
|
||||
get() = BigInteger.ZERO
|
||||
|
||||
override fun add(a: BigInteger, b: BigInteger): BigInteger = a.add(b)
|
||||
|
||||
override fun multiply(a: BigInteger, k: Number): BigInteger = a.multiply(k.toInt().toBigInteger())
|
||||
|
||||
override fun multiply(a: BigInteger, b: BigInteger): BigInteger = a.multiply(b)
|
||||
override val one: BigInteger
|
||||
get() = BigInteger.ONE
|
||||
|
||||
override fun number(value: Number): BigInteger = BigInteger.valueOf(value.toLong())
|
||||
override fun divide(a: BigInteger, b: BigInteger): BigInteger = a.div(b)
|
||||
override fun add(a: BigInteger, b: BigInteger): BigInteger = a.add(b)
|
||||
override fun BigInteger.minus(b: BigInteger): BigInteger = this.subtract(b)
|
||||
override fun multiply(a: BigInteger, k: Number): BigInteger = a.multiply(k.toInt().toBigInteger())
|
||||
override fun multiply(a: BigInteger, b: BigInteger): BigInteger = a.multiply(b)
|
||||
override fun BigInteger.unaryMinus(): BigInteger = negate()
|
||||
}
|
||||
|
||||
/**
|
||||
* A Field wrapper for Java [BigDecimal]
|
||||
*/
|
||||
class JBigDecimalField(val mathContext: MathContext = MathContext.DECIMAL64) : Field<BigDecimal> {
|
||||
override val zero: BigDecimal = BigDecimal.ZERO
|
||||
override val one: BigDecimal = BigDecimal.ONE
|
||||
abstract class JBigDecimalFieldBase internal constructor(val mathContext: MathContext = MathContext.DECIMAL64) :
|
||||
Field<BigDecimal>,
|
||||
PowerOperations<BigDecimal> {
|
||||
override val zero: BigDecimal
|
||||
get() = BigDecimal.ZERO
|
||||
|
||||
override val one: BigDecimal
|
||||
get() = BigDecimal.ONE
|
||||
|
||||
override fun add(a: BigDecimal, b: BigDecimal): BigDecimal = a.add(b)
|
||||
override fun BigDecimal.minus(b: BigDecimal): BigDecimal = subtract(b)
|
||||
override fun number(value: Number): BigDecimal = BigDecimal.valueOf(value.toDouble())
|
||||
|
||||
override fun multiply(a: BigDecimal, k: Number): BigDecimal =
|
||||
a.multiply(k.toDouble().toBigDecimal(mathContext), mathContext)
|
||||
|
||||
override fun multiply(a: BigDecimal, b: BigDecimal): BigDecimal = a.multiply(b, mathContext)
|
||||
override fun divide(a: BigDecimal, b: BigDecimal): BigDecimal = a.divide(b, mathContext)
|
||||
override fun power(arg: BigDecimal, pow: Number): BigDecimal = arg.pow(pow.toInt(), mathContext)
|
||||
override fun sqrt(arg: BigDecimal): BigDecimal = arg.sqrt(mathContext)
|
||||
override fun BigDecimal.unaryMinus(): BigDecimal = negate(mathContext)
|
||||
|
||||
}
|
||||
|
||||
class JBigDecimalField(mathContext: MathContext = MathContext.DECIMAL64) : JBigDecimalFieldBase(mathContext) {
|
||||
companion object : JBigDecimalFieldBase()
|
||||
}
|
@ -31,5 +31,5 @@ object D2 : Dimension {
|
||||
}
|
||||
|
||||
object D3 : Dimension {
|
||||
override val dim: UInt get() = 31U
|
||||
override val dim: UInt get() = 3U
|
||||
}
|
Loading…
Reference in New Issue
Block a user