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refactor Quaternions

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This commit is contained in:
Alexander Nozik 2022-06-13 11:17:41 +03:00
parent fabad733f4
commit 1fd8dfd7b8
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7 changed files with 68 additions and 91 deletions
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7
kmath-ast/src/jsMain/kotlin/space/kscience/kmath/estree/internal/ESTreeBuilder.kt
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@ -14,11 +14,12 @@ internal class ESTreeBuilder<T>(val bodyCallback: ESTreeBuilder<T>.() -> BaseExp
private class GeneratedExpression<T>(val executable: dynamic, val constants: Array<dynamic>) : Expression<T> {
@Suppress("UNUSED_VARIABLE")
override fun invoke(arguments: Map<Symbol, T>): T {
val e = executable
val c = constants
//val e = executable
//val c = constants
val a = js("{}")
arguments.forEach { (key, value) -> a[key.identity] = value }
return js("e(c, a)").unsafeCast<T>()
return executable.call(constants, a).unsafeCast<T>()
//return js("e(c, a)").unsafeCast<T>()
}
}

2
kmath-ast/src/jvmMain/kotlin/space/kscience/kmath/asm/internal/AsmBuilder.kt
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@ -49,5 +49,7 @@ internal abstract class AsmBuilder {
* ASM Type for [space.kscience.kmath.expressions.Symbol].
*/
val SYMBOL_TYPE: Type = getObjectType("space/kscience/kmath/expressions/Symbol")
const val ARGUMENTS_NAME = "args"
}
}

10
kmath-complex/build.gradle.kts
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@ -19,13 +19,15 @@ readme {
feature(
id = "complex",
description = "Complex Numbers",
ref = "src/commonMain/kotlin/space/kscience/kmath/complex/Complex.kt"
)
){
"Complex numbers operations"
}
feature(
id = "quaternion",
description = "Quaternions",
ref = "src/commonMain/kotlin/space/kscience/kmath/complex/Quaternion.kt"
)
){
"Quaternions and their composition"
}
}

133
kmath-complex/src/commonMain/kotlin/space/kscience/kmath/complex/Quaternion.kt
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@ -16,6 +16,52 @@ import space.kscience.kmath.structures.MutableBuffer
import space.kscience.kmath.structures.MutableMemoryBuffer
import kotlin.math.*
/**
* Represents `double`-based quaternion.
*
* @property w The first component.
* @property x The second component.
* @property y The third component.
* @property z The fourth component.
*/
public data class Quaternion(
val w: Double, val x: Double, val y: Double, val z: Double,
) {
init {
require(!w.isNaN()) { "w-component of quaternion is not-a-number" }
require(!x.isNaN()) { "x-component of quaternion is not-a-number" }
require(!y.isNaN()) { "y-component of quaternion is not-a-number" }
require(!z.isNaN()) { "z-component of quaternion is not-a-number" }
}
/**
* Returns a string representation of this quaternion.
*/
override fun toString(): String = "($w + $x * i + $y * j + $z * k)"
public companion object : MemorySpec<Quaternion> {
override val objectSize: Int
get() = 32
override fun MemoryReader.read(offset: Int): Quaternion =
Quaternion(readDouble(offset), readDouble(offset + 8), readDouble(offset + 16), readDouble(offset + 24))
override fun MemoryWriter.write(offset: Int, value: Quaternion) {
writeDouble(offset, value.w)
writeDouble(offset + 8, value.x)
writeDouble(offset + 16, value.y)
writeDouble(offset + 24, value.z)
}
}
}
public fun Quaternion(w: Number, x: Number = 0.0, y: Number = 0.0, z: Number = 0.0): Quaternion = Quaternion(
w.toDouble(),
x.toDouble(),
y.toDouble(),
z.toDouble(),
)
/**
* This quaternion's conjugate.
*/
@ -45,23 +91,23 @@ public val Quaternion.r: Double
@OptIn(UnstableKMathAPI::class)
public object QuaternionField : Field<Quaternion>, Norm<Quaternion, Quaternion>, PowerOperations<Quaternion>,
ExponentialOperations<Quaternion>, NumbersAddOps<Quaternion>, ScaleOperations<Quaternion> {
override val zero: Quaternion = 0.toQuaternion()
override val one: Quaternion = 1.toQuaternion()
override val zero: Quaternion = Quaternion(0.0)
override val one: Quaternion = Quaternion(1.0)
/**
* The `i` quaternion unit.
*/
public val i: Quaternion = Quaternion(0, 1)
public val i: Quaternion = Quaternion(0.0, 1.0, 0.0, 0.0)
/**
* The `j` quaternion unit.
*/
public val j: Quaternion = Quaternion(0, 0, 1)
public val j: Quaternion = Quaternion(0.0, 0.0, 1.0, 0.0)
/**
* The `k` quaternion unit.
*/
public val k: Quaternion = Quaternion(0, 0, 0, 1)
public val k: Quaternion = Quaternion(0.0, 0.0, 0.0, 1.0)
override fun add(left: Quaternion, right: Quaternion): Quaternion =
Quaternion(left.w + right.w, left.x + right.x, left.y + right.y, left.z + right.z)
@ -133,7 +179,7 @@ public object QuaternionField : Field<Quaternion>, Norm<Quaternion, Quaternion>,
override fun exp(arg: Quaternion): Quaternion {
val un = arg.x * arg.x + arg.y * arg.y + arg.z * arg.z
if (un == 0.0) return exp(arg.w).toQuaternion()
if (un == 0.0) return Quaternion(exp(arg.w))
val n1 = sqrt(un)
val ea = exp(arg.w)
val n2 = ea * sin(n1) / n1
@ -158,7 +204,8 @@ public object QuaternionField : Field<Quaternion>, Norm<Quaternion, Quaternion>,
return Quaternion(ln(n), th * arg.x, th * arg.y, th * arg.z)
}
override operator fun Number.plus(other: Quaternion): Quaternion = Quaternion(toDouble() + other.w, other.x, other.y, other.z)
override operator fun Number.plus(other: Quaternion): Quaternion =
Quaternion(toDouble() + other.w, other.x, other.y, other.z)
override operator fun Number.minus(other: Quaternion): Quaternion =
Quaternion(toDouble() - other.w, -other.x, -other.y, -other.z)
@ -179,7 +226,7 @@ public object QuaternionField : Field<Quaternion>, Norm<Quaternion, Quaternion>,
else -> null
}
override fun number(value: Number): Quaternion = value.toQuaternion()
override fun number(value: Number): Quaternion = Quaternion(value)
override fun sinh(arg: Quaternion): Quaternion = (exp(arg) - exp(-arg)) / 2.0
override fun cosh(arg: Quaternion): Quaternion = (exp(arg) + exp(-arg)) / 2.0
@ -189,76 +236,6 @@ public object QuaternionField : Field<Quaternion>, Norm<Quaternion, Quaternion>,
override fun atanh(arg: Quaternion): Quaternion = (ln(arg + one) - ln(one - arg)) / 2.0
}
/**
* Represents `double`-based quaternion.
*
* @property w The first component.
* @property x The second component.
* @property y The third component.
* @property z The fourth component.
*/
@OptIn(UnstableKMathAPI::class)
public data class Quaternion(
val w: Double, val x: Double, val y: Double, val z: Double,
) {
public constructor(w: Number, x: Number, y: Number, z: Number) : this(
w.toDouble(),
x.toDouble(),
y.toDouble(),
z.toDouble(),
)
public constructor(w: Number, x: Number, y: Number) : this(w.toDouble(), x.toDouble(), y.toDouble(), 0.0)
public constructor(w: Number, x: Number) : this(w.toDouble(), x.toDouble(), 0.0, 0.0)
public constructor(w: Number) : this(w.toDouble(), 0.0, 0.0, 0.0)
public constructor(wx: Complex, yz: Complex) : this(wx.re, wx.im, yz.re, yz.im)
public constructor(wx: Complex) : this(wx.re, wx.im, 0, 0)
init {
require(!w.isNaN()) { "w-component of quaternion is not-a-number" }
require(!x.isNaN()) { "x-component of quaternion is not-a-number" }
require(!y.isNaN()) { "x-component of quaternion is not-a-number" }
require(!z.isNaN()) { "x-component of quaternion is not-a-number" }
}
/**
* Returns a string representation of this quaternion.
*/
override fun toString(): String = "($w + $x * i + $y * j + $z * k)"
public companion object : MemorySpec<Quaternion> {
override val objectSize: Int
get() = 32
override fun MemoryReader.read(offset: Int): Quaternion =
Quaternion(readDouble(offset), readDouble(offset + 8), readDouble(offset + 16), readDouble(offset + 24))
override fun MemoryWriter.write(offset: Int, value: Quaternion) {
writeDouble(offset, value.w)
writeDouble(offset + 8, value.x)
writeDouble(offset + 16, value.y)
writeDouble(offset + 24, value.z)
}
}
}
/**
* Creates a quaternion with real part equal to this real.
*
* @receiver the real part.
* @return a new quaternion.
*/
public fun Number.toQuaternion(): Quaternion = Quaternion(this)
/**
* Creates a quaternion with `w`-component equal to `re`-component of given complex and `x`-component equal to
* `im`-component of given complex.
*
* @receiver the complex number.
* @return a new quaternion.
*/
public fun Complex.toQuaternion(): Quaternion = Quaternion(this)
/**
* Creates a new buffer of quaternions with the specified [size], where each element is calculated by calling the
* specified [init] function.

2
kmath-geometry/build.gradle.kts
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@ -6,7 +6,7 @@ plugins {
kotlin.sourceSets.commonMain {
dependencies {
api(project(":kmath-core"))
api(projects.kmath.kmathComplex)
}
}

3
kmath-geometry/src/commonMain/kotlin/space/kscience/kmath/geometry/Euclidean2DSpace.kt
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@ -6,12 +6,10 @@
package space.kscience.kmath.geometry
import space.kscience.kmath.linear.Point
import space.kscience.kmath.misc.UnstableKMathAPI
import space.kscience.kmath.operations.ScaleOperations
import space.kscience.kmath.operations.invoke
import kotlin.math.sqrt
@OptIn(UnstableKMathAPI::class)
public interface Vector2D : Point<Double>, Vector {
public val x: Double
public val y: Double
@ -29,7 +27,6 @@ public interface Vector2D : Point<Double>, Vector {
public val Vector2D.r: Double
get() = Euclidean2DSpace { norm() }
@Suppress("FunctionName")
public fun Vector2D(x: Double, y: Double): Vector2D = Vector2DImpl(x, y)
private data class Vector2DImpl(

2
kmath-geometry/src/commonMain/kotlin/space/kscience/kmath/geometry/Euclidean3DSpace.kt
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@ -6,12 +6,10 @@
package space.kscience.kmath.geometry
import space.kscience.kmath.linear.Point
import space.kscience.kmath.misc.UnstableKMathAPI
import space.kscience.kmath.operations.ScaleOperations
import space.kscience.kmath.operations.invoke
import kotlin.math.sqrt
@OptIn(UnstableKMathAPI::class)
public interface Vector3D : Point<Double>, Vector {
public val x: Double
public val y: Double