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MST rendering: support infix division, use arcsin instead sin^-1 form for inverse trigonometric functions

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Iaroslav Postovalov 2021-05-03 04:14:19 +07:00
parent eca1ad48f5
commit 591b408729
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13 changed files with 363 additions and 78 deletions
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14
README.md
View File

@ -91,7 +91,7 @@ KMath is a modular library. Different modules provide different features with di
* ### [kmath-ast](kmath-ast)
>
>
> **Maturity**: PROTOTYPE
> **Maturity**: EXPERIMENTAL
>
> **Features:**
> - [expression-language](kmath-ast/src/commonMain/kotlin/space/kscience/kmath/ast/parser.kt) : Expression language and its parser
@ -154,9 +154,9 @@ performance calculations to code generation.
> **Maturity**: PROTOTYPE
>
> **Features:**
> - [ejml-vector](kmath-ejml/src/main/kotlin/space/kscience/kmath/ejml/EjmlVector.kt) : The Point implementation using SimpleMatrix.
> - [ejml-matrix](kmath-ejml/src/main/kotlin/space/kscience/kmath/ejml/EjmlMatrix.kt) : The Matrix implementation using SimpleMatrix.
> - [ejml-linear-space](kmath-ejml/src/main/kotlin/space/kscience/kmath/ejml/EjmlLinearSpace.kt) : The LinearSpace implementation using SimpleMatrix.
> - [ejml-vector](kmath-ejml/src/main/kotlin/space/kscience/kmath/ejml/EjmlVector.kt) : Point implementations.
> - [ejml-matrix](kmath-ejml/src/main/kotlin/space/kscience/kmath/ejml/EjmlMatrix.kt) : Matrix implementation.
> - [ejml-linear-space](kmath-ejml/src/main/kotlin/space/kscience/kmath/ejml/EjmlLinearSpace.kt) : LinearSpace implementations.
<hr/>
@ -200,6 +200,12 @@ One can still use generic algebras though.
> **Maturity**: PROTOTYPE
<hr/>
* ### [kmath-jupyter](kmath-jupyter)
>
>
> **Maturity**: PROTOTYPE
<hr/>
* ### [kmath-kotlingrad](kmath-kotlingrad)
>
>

87
kmath-ast/README.md
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@ -1,6 +1,6 @@
# Module kmath-ast
Abstract syntax tree expression representation and related optimizations.
Performance and visualization extensions to MST API.
- [expression-language](src/commonMain/kotlin/space/kscience/kmath/ast/parser.kt) : Expression language and its parser
- [mst-jvm-codegen](src/jvmMain/kotlin/space/kscience/kmath/asm/asm.kt) : Dynamic MST to JVM bytecode compiler
@ -39,12 +39,16 @@ dependencies {
### On JVM
`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.
`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:
```kotlin
import space.kscience.kmath.expressions.*
import space.kscience.kmath.operations.*
import space.kscience.kmath.asm.*
MstField { bindSymbol("x") + 2 }.compileToExpression(DoubleField)
```
@ -54,6 +58,7 @@ MstField { bindSymbol("x") + 2 }.compileToExpression(DoubleField)
package space.kscience.kmath.asm.generated;
import java.util.Map;
import kotlin.jvm.functions.Function2;
import space.kscience.kmath.asm.internal.MapIntrinsics;
import space.kscience.kmath.expressions.Expression;
@ -63,7 +68,7 @@ public final class AsmCompiledExpression_45045_0 implements Expression<Double> {
private final Object[] constants;
public final Double invoke(Map<Symbol, ? extends Double> arguments) {
return (Double)((Function2)this.constants[0]).invoke((Double)MapIntrinsics.getOrFail(arguments, "x"), 2);
return (Double) ((Function2) this.constants[0]).invoke((Double) MapIntrinsics.getOrFail(arguments, "x"), 2);
}
public AsmCompiledExpression_45045_0(Object[] constants) {
@ -75,8 +80,8 @@ public final class AsmCompiledExpression_45045_0 implements Expression<Double> {
#### Known issues
- The same classes may be generated and loaded twice, so it is recommended to cache compiled expressions to avoid
class loading overhead.
- 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.
### On JS
@ -84,6 +89,10 @@ public final class AsmCompiledExpression_45045_0 implements Expression<Double> {
A similar feature is also available on JS.
```kotlin
import space.kscience.kmath.expressions.*
import space.kscience.kmath.operations.*
import space.kscience.kmath.estree.*
MstField { bindSymbol("x") + 2 }.compileToExpression(DoubleField)
```
@ -95,9 +104,12 @@ var executable = function (constants, arguments) {
};
```
JS also supports very experimental expression optimization with [WebAssembly](https://webassembly.org/) IR generation. Currently, only expressions inside `DoubleField` and `IntRing` are supported.
JS also supports very experimental expression optimization with [WebAssembly](https://webassembly.org/) IR generation.
Currently, only expressions inside `DoubleField` and `IntRing` are supported.
```kotlin
import space.kscience.kmath.expressions.*
import space.kscience.kmath.operations.*
import space.kscience.kmath.wasm.*
MstField { bindSymbol("x") + 2 }.compileToExpression(DoubleField)
@ -128,7 +140,9 @@ Example usage:
```kotlin
import space.kscience.kmath.ast.*
import space.kscience.kmath.ast.rendering.*
import space.kscience.kmath.misc.*
@OptIn(UnstableKMathAPI::class)
public fun main() {
val mst = "exp(sqrt(x))-asin(2*x)/(2e10+x^3)/(-12)".parseMath()
val syntax = FeaturedMathRendererWithPostProcess.Default.render(mst)
@ -144,13 +158,68 @@ public fun main() {
Result LaTeX:
![](http://chart.googleapis.com/chart?cht=tx&chl=e%5E%7B%5Csqrt%7Bx%7D%7D-%5Cfrac%7B%5Cfrac%7B%5Coperatorname%7Bsin%7D%5E%7B-1%7D%5C,%5Cleft(2%5C,x%5Cright)%7D%7B2%5Ctimes10%5E%7B10%7D%2Bx%5E%7B3%7D%7D%7D%7B-12%7D)
![](https://latex.codecogs.com/gif.latex?%5Coperatorname{exp}%5C,%5Cleft(%5Csqrt{x}%5Cright)-%5Cfrac{%5Cfrac{%5Coperatorname{arcsin}%5C,%5Cleft(2%5C,x%5Cright)}{2%5Ctimes10^{10}%2Bx^{3}}}{-12})
Result MathML (embedding MathML is not allowed by GitHub Markdown):
<details>
```html
<mrow><msup><mrow><mi>e</mi></mrow><mrow><msqrt><mi>x</mi></msqrt></mrow></msup><mo>-</mo><mfrac><mrow><mfrac><mrow><msup><mrow><mo>sin</mo></mrow><mrow><mo>-</mo><mn>1</mn></mrow></msup><mspace width="0.167em"></mspace><mfenced open="(" close=")" separators=""><mn>2</mn><mspace width="0.167em"></mspace><mi>x</mi></mfenced></mrow><mrow><mn>2</mn><mo>&times;</mo><msup><mrow><mn>10</mn></mrow><mrow><mn>10</mn></mrow></msup><mo>+</mo><msup><mrow><mi>x</mi></mrow><mrow><mn>3</mn></mrow></msup></mrow></mfrac></mrow><mrow><mo>-</mo><mn>12</mn></mrow></mfrac></mrow>
<math xmlns="https://www.w3.org/1998/Math/MathML">
<mrow>
<mo>exp</mo>
<mspace width="0.167em"></mspace>
<mfenced open="(" close=")" separators="">
<msqrt>
<mi>x</mi>
</msqrt>
</mfenced>
<mo>-</mo>
<mfrac>
<mrow>
<mfrac>
<mrow>
<mo>arcsin</mo>
<mspace width="0.167em"></mspace>
<mfenced open="(" close=")" separators="">
<mn>2</mn>
<mspace width="0.167em"></mspace>
<mi>x</mi>
</mfenced>
</mrow>
<mrow>
<mn>2</mn>
<mo>&times;</mo>
<msup>
<mrow>
<mn>10</mn>
</mrow>
<mrow>
<mn>10</mn>
</mrow>
</msup>
<mo>+</mo>
<msup>
<mrow>
<mi>x</mi>
</mrow>
<mrow>
<mn>3</mn>
</mrow>
</msup>
</mrow>
</mfrac>
</mrow>
<mrow>
<mo>-</mo>
<mn>12</mn>
</mrow>
</mfrac>
</mrow>
</math>
```
</details>
It is also possible to create custom algorithms of render, and even add support of other markup languages
(see API reference).

101
kmath-ast/docs/README-TEMPLATE.md
View File

@ -1,6 +1,6 @@
# Module kmath-ast
Abstract syntax tree expression representation and related optimizations.
Performance and visualization extensions to MST API.
${features}
@ -10,12 +10,16 @@ ${artifact}
### On JVM
`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.
`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:
```kotlin
import space.kscience.kmath.expressions.*
import space.kscience.kmath.operations.*
import space.kscience.kmath.asm.*
MstField { bindSymbol("x") + 2 }.compileToExpression(DoubleField)
```
@ -25,6 +29,7 @@ MstField { bindSymbol("x") + 2 }.compileToExpression(DoubleField)
package space.kscience.kmath.asm.generated;
import java.util.Map;
import kotlin.jvm.functions.Function2;
import space.kscience.kmath.asm.internal.MapIntrinsics;
import space.kscience.kmath.expressions.Expression;
@ -34,7 +39,7 @@ public final class AsmCompiledExpression_45045_0 implements Expression<Double> {
private final Object[] constants;
public final Double invoke(Map<Symbol, ? extends Double> arguments) {
return (Double)((Function2)this.constants[0]).invoke((Double)MapIntrinsics.getOrFail(arguments, "x"), 2);
return (Double) ((Function2) this.constants[0]).invoke((Double) MapIntrinsics.getOrFail(arguments, "x"), 2);
}
public AsmCompiledExpression_45045_0(Object[] constants) {
@ -46,8 +51,8 @@ public final class AsmCompiledExpression_45045_0 implements Expression<Double> {
#### Known issues
- The same classes may be generated and loaded twice, so it is recommended to cache compiled expressions to avoid
class loading overhead.
- 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.
### On JS
@ -55,6 +60,10 @@ public final class AsmCompiledExpression_45045_0 implements Expression<Double> {
A similar feature is also available on JS.
```kotlin
import space.kscience.kmath.expressions.*
import space.kscience.kmath.operations.*
import space.kscience.kmath.estree.*
MstField { bindSymbol("x") + 2 }.compileToExpression(DoubleField)
```
@ -66,9 +75,12 @@ var executable = function (constants, arguments) {
};
```
JS also supports very experimental expression optimization with [WebAssembly](https://webassembly.org/) IR generation. Currently, only expressions inside `DoubleField` and `IntRing` are supported.
JS also supports very experimental expression optimization with [WebAssembly](https://webassembly.org/) IR generation.
Currently, only expressions inside `DoubleField` and `IntRing` are supported.
```kotlin
import space.kscience.kmath.expressions.*
import space.kscience.kmath.operations.*
import space.kscience.kmath.wasm.*
MstField { bindSymbol("x") + 2 }.compileToExpression(DoubleField)
@ -99,9 +111,11 @@ Example usage:
```kotlin
import space.kscience.kmath.ast.*
import space.kscience.kmath.ast.rendering.*
import space.kscience.kmath.misc.*
@OptIn(UnstableKMathAPI::class)
public fun main() {
val mst = "exp(sqrt(x))-asin(2*x)/(2e10+x^3)/(-12)".parseMath()
val mst = "exp(sqrt(x))-asin(2*x)/(2e10+x^3)/(12)+x^(2/3)".parseMath()
val syntax = FeaturedMathRendererWithPostProcess.Default.render(mst)
val latex = LatexSyntaxRenderer.renderWithStringBuilder(syntax)
println("LaTeX:")
@ -115,13 +129,78 @@ public fun main() {
Result LaTeX:
![](http://chart.googleapis.com/chart?cht=tx&chl=e%5E%7B%5Csqrt%7Bx%7D%7D-%5Cfrac%7B%5Cfrac%7B%5Coperatorname%7Bsin%7D%5E%7B-1%7D%5C,%5Cleft(2%5C,x%5Cright)%7D%7B2%5Ctimes10%5E%7B10%7D%2Bx%5E%7B3%7D%7D%7D%7B-12%7D)
![](https://latex.codecogs.com/gif.latex?%5Coperatorname{exp}%5C,%5Cleft(%5Csqrt{x}%5Cright)-%5Cfrac{%5Cfrac{%5Coperatorname{arcsin}%5C,%5Cleft(2%5C,x%5Cright)}{2%5Ctimes10^{10}%2Bx^{3}}}{12}+x^{2/3})
Result MathML (embedding MathML is not allowed by GitHub Markdown):
Result MathML (can be used with MathJax or other renderers):
<details>
```html
<mrow><msup><mrow><mi>e</mi></mrow><mrow><msqrt><mi>x</mi></msqrt></mrow></msup><mo>-</mo><mfrac><mrow><mfrac><mrow><msup><mrow><mo>sin</mo></mrow><mrow><mo>-</mo><mn>1</mn></mrow></msup><mspace width="0.167em"></mspace><mfenced open="(" close=")" separators=""><mn>2</mn><mspace width="0.167em"></mspace><mi>x</mi></mfenced></mrow><mrow><mn>2</mn><mo>&times;</mo><msup><mrow><mn>10</mn></mrow><mrow><mn>10</mn></mrow></msup><mo>+</mo><msup><mrow><mi>x</mi></mrow><mrow><mn>3</mn></mrow></msup></mrow></mfrac></mrow><mrow><mo>-</mo><mn>12</mn></mrow></mfrac></mrow>
<math xmlns="https://www.w3.org/1998/Math/MathML">
<mrow>
<mo>exp</mo>
<mspace width="0.167em"></mspace>
<mfenced open="(" close=")" separators="">
<msqrt>
<mi>x</mi>
</msqrt>
</mfenced>
<mo>-</mo>
<mfrac>
<mrow>
<mfrac>
<mrow>
<mo>arcsin</mo>
<mspace width="0.167em"></mspace>
<mfenced open="(" close=")" separators="">
<mn>2</mn>
<mspace width="0.167em"></mspace>
<mi>x</mi>
</mfenced>
</mrow>
<mrow>
<mn>2</mn>
<mo>&times;</mo>
<msup>
<mrow>
<mn>10</mn>
</mrow>
<mrow>
<mn>10</mn>
</mrow>
</msup>
<mo>+</mo>
<msup>
<mrow>
<mi>x</mi>
</mrow>
<mrow>
<mn>3</mn>
</mrow>
</msup>
</mrow>
</mfrac>
</mrow>
<mrow>
<mn>12</mn>
</mrow>
</mfrac>
<mo>+</mo>
<msup>
<mrow>
<mi>x</mi>
</mrow>
<mrow>
<mn>2</mn>
<mo>/</mo>
<mn>3</mn>
</mrow>
</msup>
</mrow>
</math>
```
</details>
It is also possible to create custom algorithms of render, and even add support of other markup languages
(see API reference).

6
kmath-ast/src/commonMain/kotlin/space/kscience/kmath/ast/rendering/LatexSyntaxRenderer.kt
View File

@ -118,7 +118,11 @@ public object LatexSyntaxRenderer : SyntaxRenderer {
render(node.right)
}
is FractionSyntax -> {
is FractionSyntax -> if (node.infix) {
render(node.left)
append('/')
render(node.right)
} else {
append("\\frac{")
render(node.left)
append("}{")

11
kmath-ast/src/commonMain/kotlin/space/kscience/kmath/ast/rendering/MathMLSyntaxRenderer.kt
View File

@ -133,14 +133,13 @@ public object MathMLSyntaxRenderer : SyntaxRenderer {
render(node.right)
}
is FractionSyntax -> tag("mfrac") {
tag("mrow") {
is FractionSyntax -> if (node.infix) {
render(node.left)
}
tag("mrow") {
tag("mo") { append('/') }
render(node.right)
}
} else tag("mfrac") {
tag("mrow") { render(node.left) }
tag("mrow") { render(node.right) }
}
is RadicalWithIndexSyntax -> tag("mroot") {

2
kmath-ast/src/commonMain/kotlin/space/kscience/kmath/ast/rendering/MathRenderer.kt
View File

@ -89,6 +89,7 @@ public open class FeaturedMathRendererWithPostProcess(
SquareRoot.Default,
Exponent.Default,
InverseTrigonometricOperations.Default,
InverseHyperbolicOperations.Default,
// Fallback option for unknown operations - printing them as operator
BinaryOperator.Default,
@ -105,6 +106,7 @@ public open class FeaturedMathRendererWithPostProcess(
),
listOf(
BetterExponent,
BetterFraction,
SimplifyParentheses.Default,
BetterMultiplication,
),

32
kmath-ast/src/commonMain/kotlin/space/kscience/kmath/ast/rendering/MathSyntax.kt
View File

@ -102,7 +102,7 @@ public data class SymbolSyntax(public var string: String) : TerminalSyntax()
public data class OperatorNameSyntax(public var name: String) : TerminalSyntax()
/**
* Represents a usage of special symbols.
* Represents a usage of special symbols (e.g., *&infin;*).
*
* @property kind The kind of symbol.
* @author Iaroslav Postovalov
@ -143,7 +143,7 @@ public data class OperandSyntax(
}
/**
* Represents unary, prefix operator syntax (like f x).
* Represents unary, prefix operator syntax (like *f(x)*).
*
* @property prefix The prefix.
* @author Iaroslav Postovalov
@ -160,7 +160,7 @@ public data class UnaryOperatorSyntax(
}
/**
* Represents prefix, unary plus operator.
* Represents prefix, unary plus operator (*+x*).
*
* @author Iaroslav Postovalov
*/
@ -175,7 +175,7 @@ public data class UnaryPlusSyntax(
}
/**
* Represents prefix, unary minus operator.
* Represents prefix, unary minus operator (*-x*).
*
* @author Iaroslav Postovalov
*/
@ -190,7 +190,7 @@ public data class UnaryMinusSyntax(
}
/**
* Represents radical with a node inside it.
* Represents radical with a node inside it (*&radic;x*).
*
* @property operand The radicand.
* @author Iaroslav Postovalov
@ -225,7 +225,7 @@ public data class ExponentSyntax(
}
/**
* Represents a syntax node with superscript (usually, for exponentiation).
* Represents a syntax node with superscript (*x<sup>2</sup>*).
*
* @property left The node.
* @property right The superscript.
@ -244,7 +244,7 @@ public data class SuperscriptSyntax(
}
/**
* Represents a syntax node with subscript.
* Represents a syntax node with subscript (*x<sub>i</sup>*).
*
* @property left The node.
* @property right The subscript.
@ -263,7 +263,7 @@ public data class SubscriptSyntax(
}
/**
* Represents binary, prefix operator syntax (like f(a, b)).
* Represents binary, prefix operator syntax (like *f(a, b)*).
*
* @property prefix The prefix.
* @author Iaroslav Postovalov
@ -282,7 +282,7 @@ public data class BinaryOperatorSyntax(
}
/**
* Represents binary, infix addition.
* Represents binary, infix addition (*42 + 42*).
*
* @param left The augend.
* @param right The addend.
@ -301,7 +301,7 @@ public data class BinaryPlusSyntax(
}
/**
* Represents binary, infix subtraction.
* Represents binary, infix subtraction (*42 - 42*).
*
* @param left The minuend.
* @param right The subtrahend.
@ -324,13 +324,15 @@ public data class BinaryMinusSyntax(
*
* @property left The numerator.
* @property right The denominator.
* @property infix Whether infix (*1 / 2*) or normal (*&frac12;*) fraction should be made.
* @author Iaroslav Postovalov
*/
@UnstableKMathAPI
public data class FractionSyntax(
public override val operation: String,
public override val left: MathSyntax,
public override val right: MathSyntax,
public override val left: OperandSyntax,
public override val right: OperandSyntax,
public var infix: Boolean,
) : BinarySyntax() {
init {
left.parent = this
@ -339,7 +341,7 @@ public data class FractionSyntax(
}
/**
* Represents radical syntax with index.
* Represents radical syntax with index (*<sup>3</sup>&radic;x*).
*
* @property left The index.
* @property right The radicand.
@ -358,11 +360,11 @@ public data class RadicalWithIndexSyntax(
}
/**
* Represents binary, infix multiplication in the form of coefficient (2 x) or with operator (x&times;2).
* Represents binary, infix multiplication in the form of coefficient (*2 x*) or with operator (*x &times; 2*).
*
* @property left The multiplicand.
* @property right The multiplier.
* @property times whether the times (&times;) symbol should be used.
* @property times Whether the times (&times;) symbol should be used.
* @author Iaroslav Postovalov
*/
@UnstableKMathAPI

72
kmath-ast/src/commonMain/kotlin/space/kscience/kmath/ast/rendering/features.kt
View File

@ -54,6 +54,7 @@ else
* *('-'? (DIGIT+ ('.' DIGIT+)? ('E' '-'? DIGIT+)? | 'Infinity')) | 'NaN'*.
*
* @property types The suitable types.
* @author Iaroslav Postovalov
*/
@UnstableKMathAPI
public class PrettyPrintFloats(public val types: Set<KClass<out Number>>) : RenderFeature {
@ -113,6 +114,7 @@ public class PrettyPrintFloats(public val types: Set<KClass<out Number>>) : Rend
* Special printing for numeric types which are printed in form of *'-'? DIGIT+*.
*
* @property types The suitable types.
* @author Iaroslav Postovalov
*/
@UnstableKMathAPI
public class PrettyPrintIntegers(public val types: Set<KClass<out Number>>) : RenderFeature {
@ -135,6 +137,7 @@ public class PrettyPrintIntegers(public val types: Set<KClass<out Number>>) : Re
* Special printing for symbols meaning Pi.
*
* @property symbols The allowed symbols.
* @author Iaroslav Postovalov
*/
@UnstableKMathAPI
public class PrettyPrintPi(public val symbols: Set<String>) : RenderFeature {
@ -157,6 +160,7 @@ public class PrettyPrintPi(public val symbols: Set<String>) : RenderFeature {
* not [MST.Unary].
*
* @param operations the allowed operations. If `null`, any operation is accepted.
* @author Iaroslav Postovalov
*/
@UnstableKMathAPI
public abstract class Unary(public val operations: Collection<String>?) : RenderFeature {
@ -177,6 +181,7 @@ public abstract class Unary(public val operations: Collection<String>?) : Render
* not [MST.Binary].
*
* @property operations the allowed operations. If `null`, any operation is accepted.
* @author Iaroslav Postovalov
*/
@UnstableKMathAPI
public abstract class Binary(public val operations: Collection<String>?) : RenderFeature {
@ -193,6 +198,8 @@ public abstract class Binary(public val operations: Collection<String>?) : Rende
/**
* Handles binary nodes by producing [BinaryPlusSyntax].
*
* @author Iaroslav Postovalov
*/
@UnstableKMathAPI
public class BinaryPlus(operations: Collection<String>?) : Binary(operations) {
@ -213,6 +220,8 @@ public class BinaryPlus(operations: Collection<String>?) : Binary(operations) {
/**
* Handles binary nodes by producing [BinaryMinusSyntax].
*
* @author Iaroslav Postovalov
*/
@UnstableKMathAPI
public class BinaryMinus(operations: Collection<String>?) : Binary(operations) {
@ -233,6 +242,8 @@ public class BinaryMinus(operations: Collection<String>?) : Binary(operations) {
/**
* Handles unary nodes by producing [UnaryPlusSyntax].
*
* @author Iaroslav Postovalov
*/
@UnstableKMathAPI
public class UnaryPlus(operations: Collection<String>?) : Unary(operations) {
@ -251,6 +262,8 @@ public class UnaryPlus(operations: Collection<String>?) : Unary(operations) {
/**
* Handles binary nodes by producing [UnaryMinusSyntax].
*
* @author Iaroslav Postovalov
*/
@UnstableKMathAPI
public class UnaryMinus(operations: Collection<String>?) : Unary(operations) {
@ -269,13 +282,16 @@ public class UnaryMinus(operations: Collection<String>?) : Unary(operations) {
/**
* Handles binary nodes by producing [FractionSyntax].
*
* @author Iaroslav Postovalov
*/
@UnstableKMathAPI
public class Fraction(operations: Collection<String>?) : Binary(operations) {
public override fun renderBinary(parent: FeaturedMathRenderer, node: MST.Binary): FractionSyntax = FractionSyntax(
operation = node.operation,
left = parent.render(node.left),
right = parent.render(node.right),
left = OperandSyntax(operand = parent.render(node.left), parentheses = true),
right = OperandSyntax(operand = parent.render(node.right), parentheses = true),
infix = true,
)
public companion object {
@ -288,6 +304,8 @@ public class Fraction(operations: Collection<String>?) : Binary(operations) {
/**
* Handles binary nodes by producing [BinaryOperatorSyntax].
*
* @author Iaroslav Postovalov
*/
@UnstableKMathAPI
public class BinaryOperator(operations: Collection<String>?) : Binary(operations) {
@ -309,6 +327,8 @@ public class BinaryOperator(operations: Collection<String>?) : Binary(operations
/**
* Handles unary nodes by producing [UnaryOperatorSyntax].
*
* @author Iaroslav Postovalov
*/
@UnstableKMathAPI
public class UnaryOperator(operations: Collection<String>?) : Unary(operations) {
@ -329,6 +349,8 @@ public class UnaryOperator(operations: Collection<String>?) : Unary(operations)
/**
* Handles binary nodes by producing [SuperscriptSyntax].
*
* @author Iaroslav Postovalov
*/
@UnstableKMathAPI
public class Power(operations: Collection<String>?) : Binary(operations) {
@ -365,6 +387,8 @@ public class SquareRoot(operations: Collection<String>?) : Unary(operations) {
/**
* Handles unary nodes by producing [ExponentSyntax].
*
* @author Iaroslav Postovalov
*/
@UnstableKMathAPI
public class Exponent(operations: Collection<String>?) : Unary(operations) {
@ -384,6 +408,8 @@ public class Exponent(operations: Collection<String>?) : Unary(operations) {
/**
* Handles binary nodes by producing [MultiplicationSyntax].
*
* @author Iaroslav Postovalov
*/
@UnstableKMathAPI
public class Multiplication(operations: Collection<String>?) : Binary(operations) {
@ -404,36 +430,52 @@ public class Multiplication(operations: Collection<String>?) : Binary(operations
}
/**
* Handles binary nodes by producing inverse [UnaryOperatorSyntax] (like *sin<sup>-1</sup>*) with removing the `a`
* prefix of operation ID.
* Handles binary nodes by producing inverse [UnaryOperatorSyntax] with *arc* prefix instead of *a*.
*
* @author Iaroslav Postovalov
*/
@UnstableKMathAPI
public class InverseTrigonometricOperations(operations: Collection<String>?) : Unary(operations) {
public override fun renderUnary(parent: FeaturedMathRenderer, node: MST.Unary): UnaryOperatorSyntax =
UnaryOperatorSyntax(
operation = node.operation,
prefix = SuperscriptSyntax(
operation = PowerOperations.POW_OPERATION,
left = OperatorNameSyntax(name = node.operation.removePrefix("a")),
right = UnaryMinusSyntax(
operation = GroupOperations.MINUS_OPERATION,
operand = OperandSyntax(operand = NumberSyntax(string = "1"), parentheses = true),
),
),
prefix = OperatorNameSyntax(name = node.operation.replaceFirst("a", "arc")),
operand = OperandSyntax(operand = parent.render(node.value), parentheses = true),
)
public companion object {
/**
* The default instance configured with [TrigonometricOperations.ACOS_OPERATION],
* [TrigonometricOperations.ASIN_OPERATION], [TrigonometricOperations.ATAN_OPERATION],
* [ExponentialOperations.ACOSH_OPERATION], [ExponentialOperations.ASINH_OPERATION], and
* [ExponentialOperations.ATANH_OPERATION].
* [TrigonometricOperations.ASIN_OPERATION], [TrigonometricOperations.ATAN_OPERATION].
*/
public val Default: InverseTrigonometricOperations = InverseTrigonometricOperations(setOf(
TrigonometricOperations.ACOS_OPERATION,
TrigonometricOperations.ASIN_OPERATION,
TrigonometricOperations.ATAN_OPERATION,
))
}
}
/**
* Handles binary nodes by producing inverse [UnaryOperatorSyntax] with *ar* prefix instead of *a*.
*
* @author Iaroslav Postovalov
*/
@UnstableKMathAPI
public class InverseHyperbolicOperations(operations: Collection<String>?) : Unary(operations) {
public override fun renderUnary(parent: FeaturedMathRenderer, node: MST.Unary): UnaryOperatorSyntax =
UnaryOperatorSyntax(
operation = node.operation,
prefix = OperatorNameSyntax(name = node.operation.replaceFirst("a", "ar")),
operand = OperandSyntax(operand = parent.render(node.value), parentheses = true),
)
public companion object {
/**
* The default instance configured with [ExponentialOperations.ACOSH_OPERATION],
* [ExponentialOperations.ASINH_OPERATION], and [ExponentialOperations.ATANH_OPERATION].
*/
public val Default: InverseHyperbolicOperations = InverseHyperbolicOperations(setOf(
ExponentialOperations.ACOSH_OPERATION,
ExponentialOperations.ASINH_OPERATION,
ExponentialOperations.ATANH_OPERATION,

76
kmath-ast/src/commonMain/kotlin/space/kscience/kmath/ast/rendering/stages.kt
View File

@ -83,6 +83,75 @@ public object BetterMultiplication : FeaturedMathRendererWithPostProcess.PostPro
}
}
/**
* Chooses [FractionSyntax.infix] depending on the context.
*
* @author Iaroslav Postovalov
*/
@UnstableKMathAPI
public object BetterFraction : FeaturedMathRendererWithPostProcess.PostProcessStage {
private fun perform0(node: MathSyntax, infix: Boolean = false): Unit = when (node) {
is NumberSyntax -> Unit
is SymbolSyntax -> Unit
is OperatorNameSyntax -> Unit
is SpecialSymbolSyntax -> Unit
is OperandSyntax -> perform0(node.operand, infix)
is UnaryOperatorSyntax -> {
perform0(node.prefix, infix)
perform0(node.operand, infix)
}
is UnaryPlusSyntax -> perform0(node.operand, infix)
is UnaryMinusSyntax -> perform0(node.operand, infix)
is RadicalSyntax -> perform0(node.operand, infix)
is ExponentSyntax -> perform0(node.operand, infix)
is SuperscriptSyntax -> {
perform0(node.left, true)
perform0(node.right, true)
}
is SubscriptSyntax -> {
perform0(node.left, true)
perform0(node.right, true)
}
is BinaryOperatorSyntax -> {
perform0(node.prefix, infix)
perform0(node.left, infix)
perform0(node.right, infix)
}
is BinaryPlusSyntax -> {
perform0(node.left, infix)
perform0(node.right, infix)
}
is BinaryMinusSyntax -> {
perform0(node.left, infix)
perform0(node.right, infix)
}
is FractionSyntax -> {
node.infix = infix
perform0(node.left, infix)
perform0(node.right, infix)
}
is RadicalWithIndexSyntax -> {
perform0(node.left, true)
perform0(node.right, true)
}
is MultiplicationSyntax -> {
perform0(node.left, infix)
perform0(node.right, infix)
}
}
public override fun perform(node: MathSyntax): Unit = perform0(node)
}
/**
* Applies [ExponentSyntax.useOperatorForm] to [ExponentSyntax] when the operand contains a fraction, a
@ -102,7 +171,7 @@ public object BetterExponent : FeaturedMathRendererWithPostProcess.PostProcessSt
is UnaryOperatorSyntax -> perform0(node.prefix) || perform0(node.operand)
is UnaryPlusSyntax -> perform0(node.operand)
is UnaryMinusSyntax -> perform0(node.operand)
is RadicalSyntax -> perform0(node.operand)
is RadicalSyntax -> true
is ExponentSyntax -> {
val r = perform0(node.operand)
@ -116,7 +185,7 @@ public object BetterExponent : FeaturedMathRendererWithPostProcess.PostProcessSt
is BinaryPlusSyntax -> perform0(node.left) || perform0(node.right)
is BinaryMinusSyntax -> perform0(node.left) || perform0(node.right)
is FractionSyntax -> true
is RadicalWithIndexSyntax -> perform0(node.left) || perform0(node.right)
is RadicalWithIndexSyntax -> true
is MultiplicationSyntax -> perform0(node.left) || perform0(node.right)
}
}
@ -163,8 +232,11 @@ public class SimplifyParentheses(public val precedenceFunction: (MathSyntax) ->
val isInsideExpOperator =
node.parent is ExponentSyntax && (node.parent as ExponentSyntax).useOperatorForm
val isOnOrUnderNormalFraction = node.parent is FractionSyntax && !((node.parent as FractionSyntax).infix)
node.parentheses = !isRightOfSuperscript
&& (needParenthesesByPrecedence || node.parent is UnaryOperatorSyntax || isInsideExpOperator)
&& !isOnOrUnderNormalFraction
perform(node.operand)
}

18
kmath-ast/src/commonTest/kotlin/space/kscience/kmath/ast/rendering/TestFeatures.kt
View File

@ -99,13 +99,17 @@ internal class TestFeatures {
fun multiplication() = testLatex("x*1", "x\\times1")
@Test
fun inverseTrigonometry() {
testLatex("asin(x)", "\\operatorname{sin}^{-1}\\,\\left(x\\right)")
testLatex("asinh(x)", "\\operatorname{sinh}^{-1}\\,\\left(x\\right)")
testLatex("acos(x)", "\\operatorname{cos}^{-1}\\,\\left(x\\right)")
testLatex("acosh(x)", "\\operatorname{cosh}^{-1}\\,\\left(x\\right)")
testLatex("atan(x)", "\\operatorname{tan}^{-1}\\,\\left(x\\right)")
testLatex("atanh(x)", "\\operatorname{tanh}^{-1}\\,\\left(x\\right)")
fun inverseTrigonometric() {
testLatex("asin(x)", "\\operatorname{arcsin}\\,\\left(x\\right)")
testLatex("acos(x)", "\\operatorname{arccos}\\,\\left(x\\right)")
testLatex("atan(x)", "\\operatorname{arctan}\\,\\left(x\\right)")
}
@Test
fun inverseHyperbolic() {
testLatex("asinh(x)", "\\operatorname{arsinh}\\,\\left(x\\right)")
testLatex("acosh(x)", "\\operatorname{arcosh}\\,\\left(x\\right)")
testLatex("atanh(x)", "\\operatorname{artanh}\\,\\left(x\\right)")
}
// @Test

6
kmath-ast/src/commonTest/kotlin/space/kscience/kmath/ast/rendering/TestStages.kt
View File

@ -37,4 +37,10 @@ internal class TestStages {
testLatex("exp(x/2)", "\\operatorname{exp}\\,\\left(\\frac{x}{2}\\right)")
testLatex("exp(x^2)", "\\operatorname{exp}\\,\\left(x^{2}\\right)")
}
@Test
fun fraction() {
testLatex("x/y", "\\frac{x}{y}")
testLatex("x^(x/y)", "x^{x/y}")
}
}

4
kmath-for-real/README.md
View File

@ -15,7 +15,7 @@ The Maven coordinates of this project are `space.kscience:kmath-for-real:0.3.0-d
```gradle
repositories {
maven { url 'https://repo.kotlin.link' }
maven { url "https://dl.bintray.com/kotlin/kotlin-eap" } // include for builds based on kotlin-eap
mavenCentral()
}
dependencies {
@ -26,7 +26,7 @@ dependencies {
```kotlin
repositories {
maven("https://repo.kotlin.link")
maven("https://dl.bintray.com/kotlin/kotlin-eap") // include for builds based on kotlin-eap
mavenCentral()
}
dependencies {

4
kmath-functions/README.md
View File

@ -17,7 +17,7 @@ The Maven coordinates of this project are `space.kscience:kmath-functions:0.3.0-
```gradle
repositories {
maven { url 'https://repo.kotlin.link' }
maven { url "https://dl.bintray.com/kotlin/kotlin-eap" } // include for builds based on kotlin-eap
mavenCentral()
}
dependencies {
@ -28,7 +28,7 @@ dependencies {
```kotlin
repositories {
maven("https://repo.kotlin.link")
maven("https://dl.bintray.com/kotlin/kotlin-eap") // include for builds based on kotlin-eap
mavenCentral()
}
dependencies {