kmath/kmath-ast

Abstract syntax tree expression representation and operations (kmath-ast)

This subproject implements the following features:

• Expression Language and its parser.
• MST (Mathematical Syntax Tree) as expression language's syntax intermediate representation.
• Type-safe builder for MST.
• Evaluating expressions by traversing MST.

Artifact:

This module is distributed in the artifact scientifik:kmath-ast:0.1.4-dev-8.

Gradle:

repositories {
    maven { url 'https://dl.bintray.com/mipt-npm/scientifik' }
    maven { url 'https://dl.bintray.com/mipt-npm/dev' }
}

dependencies {
    implementation 'scientifik:kmath-ast:0.1.4-dev-8'
}

Gradle Kotlin DSL:

repositories {
    maven("https://dl.bintray.com/mipt-npm/scientifik")
    maven("https://dl.bintray.com/mipt-npm/dev")
}

dependencies {
    implementation("scientifik:kmath-ast:0.1.4-dev-8")
}

Dynamic expression code generation with ObjectWeb ASM

kmath-ast JVM module supports runtime code generation to eliminate overhead of tree traversal. Code generator builds a special implementation of Expression<T> with implemented invoke function.

For example, the following builder:

    RealField.mstInField { symbol("x") + 2 }.compile()

… leads to generation of bytecode, which can be decompiled to the following Java class:

package scientifik.kmath.asm.generated;

import java.util.Map;
import scientifik.kmath.asm.internal.MapIntrinsics;
import scientifik.kmath.expressions.Expression;
import scientifik.kmath.operations.RealField;

public final class AsmCompiledExpression_1073786867_0 implements Expression<Double> {
    private final RealField algebra;
    private final Object[] constants;

    public AsmCompiledExpression_1073786867_0(RealField algebra, Object[] constants) {
        this.algebra = algebra;
        this.constants = constants;
    }

    public final Double invoke(Map<String, ? extends Double> arguments) {
        return (Double)this.algebra.add(((Double)MapIntrinsics.getOrFail(arguments, "x", (Object)null)).doubleValue(), 2.0D);
    }
}

Example Usage

This API is an extension to MST and MstExpression, so you may optimize as both of them:

RealField.mstInField { symbol("x") + 2 }.compile()
RealField.expression("x+2".parseMath())

Known issues

• The same classes may be generated and loaded twice, so it is recommended to cache compiled expressions to avoid class loading overhead.
• This API is not supported by non-dynamic JVM implementations (like TeaVM and GraalVM) because of using class loaders.

Contributed by Iaroslav Postovalov.