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Add adapters of scalar functions to MST and vice versa #150

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CommanderTvis merged 23 commits from kotlingrad into dev 2020-11-01 21:09:45 +03:00
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3 changed files with 125 additions and 56 deletions
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kmath-ast-kotlingrad/src/main/kotlin/kscience/kmath/ast/kotlingrad/ScalarsAdapters.kt
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@ -36,7 +36,7 @@ public fun <X : SFun<X>> SFun<X>.mst(): MST = MstExtendedField {
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is SConst -> number(doubleValue) is SConst -> number(doubleValue)
is Sum -> left.mst() + right.mst() is Sum -> left.mst() + right.mst()
is Prod -> left.mst() * right.mst() is Prod -> left.mst() * right.mst()
is Power -> power(left.mst(), (right() as SConst<*>).doubleValue) is Power -> power(left.mst(), (right as SConst<*>).doubleValue)
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is Negative -> -input.mst() is Negative -> -input.mst()
is Log -> ln(left.mst()) / ln(right.mst()) is Log -> ln(left.mst()) / ln(right.mst())
is Sine -> sin(input.mst()) is Sine -> sin(input.mst())

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66
kmath-ast-kotlingrad/src/test/kotlin/kscience/kmath/ast/kotlingrad/AdaptingTests.kt Normal file
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@ -0,0 +1,66 @@
package kscience.kmath.ast.kotlingrad
import edu.umontreal.kotlingrad.experimental.*
import kscience.kmath.asm.compile
import kscience.kmath.ast.MstAlgebra
import kscience.kmath.ast.MstExpression
import kscience.kmath.ast.parseMath
import kscience.kmath.expressions.invoke
import kscience.kmath.operations.RealField
import kotlin.test.Test
import kotlin.test.assertEquals
import kotlin.test.assertTrue
import kotlin.test.fail
internal class AdaptingTests {
private val proto: DReal = DoublePrecision.prototype
@Test
fun symbol() {
val c1 = MstAlgebra.symbol("x")
assertTrue(c1.svar(proto).name == "x")
val c2 = "kitten".parseMath().sfun(proto)
if (c2 is SVar) assertTrue(c2.name == "kitten") else fail()
}
@Test
fun number() {
val c1 = MstAlgebra.number(12354324)
assertTrue(c1.sconst<DReal>().doubleValue == 12354324.0)
val c2 = "0.234".parseMath().sfun(proto)
if (c2 is SConst) assertTrue(c2.doubleValue == 0.234) else fail()
val c3 = "1e-3".parseMath().sfun(proto)
if (c3 is SConst) assertEquals(0.001, c3.value) else fail()
}
@Test
fun simpleFunctionShape() {
val linear = "2*x+16".parseMath().sfun(proto)
if (linear !is Sum) fail()
if (linear.left !is Prod) fail()
if (linear.right !is SConst) fail()
}
@Test
fun simpleFunctionDerivative() {
val x = MstAlgebra.symbol("x").svar(proto)
val quadratic = "x^2-4*x-44".parseMath().sfun(proto)
val actualDerivative = MstExpression(RealField, quadratic.d(x).mst()).compile()
val expectedDerivative = MstExpression(RealField, "2*x-4".parseMath()).compile()
assertEquals(actualDerivative("x" to 123.0), expectedDerivative("x" to 123.0))
}
@Test
fun moreComplexDerivative() {
val x = MstAlgebra.symbol("x").svar(proto)
val composition = "-sqrt(sin(x^2)-cos(x)^2-16*x)".parseMath().sfun(proto)
val actualDerivative = MstExpression(RealField, composition.d(x).mst()).compile()
val expectedDerivative = MstExpression(
RealField,
"-(2*x*cos(x^2)+2*sin(x)*cos(x)-16)/(2*sqrt(sin(x^2)-16*x-cos(x)^2))".parseMath()
).compile()
assertEquals(actualDerivative("x" to 0.1), expectedDerivative("x" to 0.1))
}
}

113
kmath-ast/src/commonMain/kotlin/kscience/kmath/ast/MstAlgebra.kt
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@ -6,14 +6,14 @@ import kscience.kmath.operations.*
* [Algebra] over [MST] nodes. * [Algebra] over [MST] nodes.
*/ */
public object MstAlgebra : NumericAlgebra<MST> { public object MstAlgebra : NumericAlgebra<MST> {
override fun number(value: Number): MST = MST.Numeric(value) override fun number(value: Number): MST.Numeric = MST.Numeric(value)
override fun symbol(value: String): MST = MST.Symbolic(value) override fun symbol(value: String): MST.Symbolic = MST.Symbolic(value)
override fun unaryOperation(operation: String, arg: MST): MST = override fun unaryOperation(operation: String, arg: MST): MST.Unary =
MST.Unary(operation, arg) MST.Unary(operation, arg)
override fun binaryOperation(operation: String, left: MST, right: MST): MST = override fun binaryOperation(operation: String, left: MST, right: MST): MST.Binary =
MST.Binary(operation, left, right) MST.Binary(operation, left, right)
} }
@ -21,97 +21,100 @@ public object MstAlgebra : NumericAlgebra<MST> {
* [Space] over [MST] nodes. * [Space] over [MST] nodes.
*/ */
public object MstSpace : Space<MST>, NumericAlgebra<MST> { public object MstSpace : Space<MST>, NumericAlgebra<MST> {
override val zero: MST = number(0.0) override val zero: MST.Numeric by lazy { number(0.0) }
override fun number(value: Number): MST = MstAlgebra.number(value) override fun number(value: Number): MST.Numeric = MstAlgebra.number(value)
override fun symbol(value: String): MST = MstAlgebra.symbol(value) override fun symbol(value: String): MST.Symbolic = MstAlgebra.symbol(value)
override fun add(a: MST, b: MST): MST = binaryOperation(SpaceOperations.PLUS_OPERATION, a, b) override fun add(a: MST, b: MST): MST.Binary = binaryOperation(SpaceOperations.PLUS_OPERATION, a, b)
override fun multiply(a: MST, k: Number): MST = binaryOperation(RingOperations.TIMES_OPERATION, a, number(k)) override fun multiply(a: MST, k: Number): MST.Binary = binaryOperation(RingOperations.TIMES_OPERATION, a, number(k))
override fun binaryOperation(operation: String, left: MST, right: MST): MST = override fun binaryOperation(operation: String, left: MST, right: MST): MST.Binary =
MstAlgebra.binaryOperation(operation, left, right) MstAlgebra.binaryOperation(operation, left, right)
override fun unaryOperation(operation: String, arg: MST): MST = MstAlgebra.unaryOperation(operation, arg) override fun unaryOperation(operation: String, arg: MST): MST.Unary = MstAlgebra.unaryOperation(operation, arg)
} }
/** /**
* [Ring] over [MST] nodes. * [Ring] over [MST] nodes.
*/ */
public object MstRing : Ring<MST>, NumericAlgebra<MST> { public object MstRing : Ring<MST>, NumericAlgebra<MST> {
override val zero: MST override val zero: MST.Numeric
get() = MstSpace.zero get() = MstSpace.zero
override val one: MST = number(1.0)
override fun number(value: Number): MST = MstSpace.number(value) override val one: MST.Numeric by lazy { number(1.0) }
override fun symbol(value: String): MST = MstSpace.symbol(value)
override fun add(a: MST, b: MST): MST = MstSpace.add(a, b)
override fun multiply(a: MST, k: Number): MST = MstSpace.multiply(a, k) override fun number(value: Number): MST.Numeric = MstSpace.number(value)
override fun symbol(value: String): MST.Symbolic = MstSpace.symbol(value)
override fun add(a: MST, b: MST): MST.Binary = MstSpace.add(a, b)
override fun multiply(a: MST, k: Number): MST.Binary = MstSpace.multiply(a, k)
override fun multiply(a: MST, b: MST): MST.Binary = binaryOperation(RingOperations.TIMES_OPERATION, a, b)
override fun multiply(a: MST, b: MST): MST = binaryOperation(RingOperations.TIMES_OPERATION, a, b) override fun binaryOperation(operation: String, left: MST, right: MST): MST.Binary =
override fun binaryOperation(operation: String, left: MST, right: MST): MST =
MstSpace.binaryOperation(operation, left, right) MstSpace.binaryOperation(operation, left, right)
override fun unaryOperation(operation: String, arg: MST): MST = MstAlgebra.unaryOperation(operation, arg) override fun unaryOperation(operation: String, arg: MST): MST.Unary = MstSpace.unaryOperation(operation, arg)
} }
/** /**
* [Field] over [MST] nodes. * [Field] over [MST] nodes.
*/ */
public object MstField : Field<MST> { public object MstField : Field<MST> {
public override val zero: MST public override val zero: MST.Numeric
get() = MstRing.zero get() = MstRing.zero
public override val one: MST public override val one: MST.Numeric
get() = MstRing.one get() = MstRing.one
public override fun symbol(value: String): MST = MstRing.symbol(value) public override fun symbol(value: String): MST.Symbolic = MstRing.symbol(value)
public override fun number(value: Number): MST = MstRing.number(value) public override fun number(value: Number): MST.Numeric = MstRing.number(value)
public override fun add(a: MST, b: MST): MST = MstRing.add(a, b) public override fun add(a: MST, b: MST): MST.Binary = MstRing.add(a, b)
public override fun multiply(a: MST, k: Number): MST = MstRing.multiply(a, k) public override fun multiply(a: MST, k: Number): MST.Binary = MstRing.multiply(a, k)
public override fun multiply(a: MST, b: MST): MST = MstRing.multiply(a, b) public override fun multiply(a: MST, b: MST): MST.Binary = MstRing.multiply(a, b)
public override fun divide(a: MST, b: MST): MST = binaryOperation(FieldOperations.DIV_OPERATION, a, b) public override fun divide(a: MST, b: MST): MST.Binary = binaryOperation(FieldOperations.DIV_OPERATION, a, b)
public override fun binaryOperation(operation: String, left: MST, right: MST): MST = public override fun binaryOperation(operation: String, left: MST, right: MST): MST.Binary =
MstRing.binaryOperation(operation, left, right) MstRing.binaryOperation(operation, left, right)
override fun unaryOperation(operation: String, arg: MST): MST = MstRing.unaryOperation(operation, arg) override fun unaryOperation(operation: String, arg: MST): MST.Unary = MstRing.unaryOperation(operation, arg)
} }
/** /**
* [ExtendedField] over [MST] nodes. * [ExtendedField] over [MST] nodes.
*/ */
public object MstExtendedField : ExtendedField<MST> { public object MstExtendedField : ExtendedField<MST> {
override val zero: MST override val zero: MST.Numeric
get() = MstField.zero get() = MstField.zero
override val one: MST override val one: MST.Numeric
get() = MstField.one get() = MstField.one
override fun symbol(value: String): MST = MstField.symbol(value) override fun symbol(value: String): MST.Symbolic = MstField.symbol(value)
override fun sin(arg: MST): MST = unaryOperation(TrigonometricOperations.SIN_OPERATION, arg) override fun number(value: Number): MST.Numeric = MstField.number(value)
override fun cos(arg: MST): MST = unaryOperation(TrigonometricOperations.COS_OPERATION, arg) override fun sin(arg: MST): MST.Unary = unaryOperation(TrigonometricOperations.SIN_OPERATION, arg)
override fun tan(arg: MST): MST = unaryOperation(TrigonometricOperations.TAN_OPERATION, arg) override fun cos(arg: MST): MST.Unary = unaryOperation(TrigonometricOperations.COS_OPERATION, arg)
override fun asin(arg: MST): MST = unaryOperation(TrigonometricOperations.ASIN_OPERATION, arg) override fun tan(arg: MST): MST.Unary = unaryOperation(TrigonometricOperations.TAN_OPERATION, arg)
override fun acos(arg: MST): MST = unaryOperation(TrigonometricOperations.ACOS_OPERATION, arg) override fun asin(arg: MST): MST.Unary = unaryOperation(TrigonometricOperations.ASIN_OPERATION, arg)
override fun atan(arg: MST): MST = unaryOperation(TrigonometricOperations.ATAN_OPERATION, arg) override fun acos(arg: MST): MST.Unary = unaryOperation(TrigonometricOperations.ACOS_OPERATION, arg)
override fun sinh(arg: MST): MST = unaryOperation(HyperbolicOperations.SINH_OPERATION, arg) override fun atan(arg: MST): MST.Unary = unaryOperation(TrigonometricOperations.ATAN_OPERATION, arg)
override fun cosh(arg: MST): MST = unaryOperation(HyperbolicOperations.COSH_OPERATION, arg) override fun sinh(arg: MST): MST.Unary = unaryOperation(HyperbolicOperations.SINH_OPERATION, arg)
override fun tanh(arg: MST): MST = unaryOperation(HyperbolicOperations.TANH_OPERATION, arg) override fun cosh(arg: MST): MST.Unary = unaryOperation(HyperbolicOperations.COSH_OPERATION, arg)
override fun asinh(arg: MST): MST = unaryOperation(HyperbolicOperations.ASINH_OPERATION, arg) override fun tanh(arg: MST): MST.Unary = unaryOperation(HyperbolicOperations.TANH_OPERATION, arg)
override fun acosh(arg: MST): MST = unaryOperation(HyperbolicOperations.ACOSH_OPERATION, arg) override fun asinh(arg: MST): MST.Unary = unaryOperation(HyperbolicOperations.ASINH_OPERATION, arg)
override fun atanh(arg: MST): MST = unaryOperation(HyperbolicOperations.ATANH_OPERATION, arg) override fun acosh(arg: MST): MST.Unary = unaryOperation(HyperbolicOperations.ACOSH_OPERATION, arg)
override fun add(a: MST, b: MST): MST = MstField.add(a, b) override fun atanh(arg: MST): MST.Unary = unaryOperation(HyperbolicOperations.ATANH_OPERATION, arg)
override fun multiply(a: MST, k: Number): MST = MstField.multiply(a, k) override fun add(a: MST, b: MST): MST.Binary = MstField.add(a, b)
override fun multiply(a: MST, b: MST): MST = MstField.multiply(a, b) override fun multiply(a: MST, k: Number): MST.Binary = MstField.multiply(a, k)
override fun divide(a: MST, b: MST): MST = MstField.divide(a, b) override fun multiply(a: MST, b: MST): MST.Binary = MstField.multiply(a, b)
override fun power(arg: MST, pow: Number): MST = binaryOperation(PowerOperations.POW_OPERATION, arg, number(pow)) override fun divide(a: MST, b: MST): MST.Binary = MstField.divide(a, b)
override fun exp(arg: MST): MST = unaryOperation(ExponentialOperations.EXP_OPERATION, arg)
override fun ln(arg: MST): MST = unaryOperation(ExponentialOperations.LN_OPERATION, arg)
override fun binaryOperation(operation: String, left: MST, right: MST): MST = override fun power(arg: MST, pow: Number): MST.Binary =
binaryOperation(PowerOperations.POW_OPERATION, arg, number(pow))
override fun exp(arg: MST): MST.Unary = unaryOperation(ExponentialOperations.EXP_OPERATION, arg)
override fun ln(arg: MST): MST.Unary = unaryOperation(ExponentialOperations.LN_OPERATION, arg)
override fun binaryOperation(operation: String, left: MST, right: MST): MST.Binary =
MstField.binaryOperation(operation, left, right) MstField.binaryOperation(operation, left, right)
override fun unaryOperation(operation: String, arg: MST): MST = MstField.unaryOperation(operation, arg) override fun unaryOperation(operation: String, arg: MST): MST.Unary = MstField.unaryOperation(operation, arg)
} }