kscience/kmath
9
0
Fork 1
Code Issues Pull Requests 6 Packages Projects Releases 16 Wiki Activity

0.4 WIP

Browse Source
This commit is contained in:
Alexander Nozik 2023-11-01 08:55:47 +03:00
parent 544b8610e1
commit ea887b8c72
8 changed files with 45 additions and 66 deletions
Show Stats Download Patch File Download Diff File Expand all files Collapse all files

10
kmath-ejml/src/main/kotlin/space/kscience/kmath/ejml/_generated.kt
View File

@ -19,13 +19,19 @@ import org.ejml.sparse.csc.factory.DecompositionFactory_DSCC
import org.ejml.sparse.csc.factory.DecompositionFactory_FSCC
import org.ejml.sparse.csc.factory.LinearSolverFactory_DSCC
import org.ejml.sparse.csc.factory.LinearSolverFactory_FSCC
import space.kscience.kmath.UnstableKMathAPI
import space.kscience.kmath.linear.*
import space.kscience.kmath.linear.Matrix
import space.kscience.kmath.UnstableKMathAPI
import space.kscience.kmath.nd.StructureFeature
import space.kscience.kmath.operations.Float32Field
import space.kscience.kmath.structures.Float64
import space.kscience.kmath.structures.Float32
import space.kscience.kmath.operations.Float64Field
import space.kscience.kmath.operations.Float32Field
import space.kscience.kmath.operations.DoubleField
import space.kscience.kmath.operations.FloatField
import space.kscience.kmath.operations.invoke
import space.kscience.kmath.structures.Float64Buffer
import space.kscience.kmath.structures.Float32Buffer
import space.kscience.kmath.structures.DoubleBuffer
import space.kscience.kmath.structures.FloatBuffer
import kotlin.reflect.KClass

6
kmath-functions/src/commonMain/kotlin/space/kscience/kmath/integration/GaussIntegrator.kt
View File

@ -54,7 +54,7 @@ public class GaussIntegrator<T : Any>(
}
}
override fun process(integrand: UnivariateIntegrand<T>): UnivariateIntegrand<T> = with(algebra) {
override fun integrate(integrand: UnivariateIntegrand<T>): UnivariateIntegrand<T> = with(algebra) {
val f = integrand.function
val (points, weights) = buildRule(integrand)
var res: T = zero
@ -68,7 +68,7 @@ public class GaussIntegrator<T : Any>(
res = t
}
return integrand.withAttributes {
value(res)
IntegrandValue(res)
IntegrandCallsPerformed(integrand.calls + points.size)
}
}
@ -102,7 +102,7 @@ public inline fun <reified T : Any> GaussIntegrator<T>.integrate(
val ranges = UnivariateIntegrandRanges(
(0 until intervals).map { i -> (range.start + rangeSize * i)..(range.start + rangeSize * (i + 1)) to order }
)
return process(
return integrate(
UnivariateIntegrand<T>(
attributeBuilder = {
IntegrationRange(range)

4
kmath-functions/src/commonMain/kotlin/space/kscience/kmath/integration/Integrator.kt
View File

@ -8,9 +8,9 @@ package space.kscience.kmath.integration
/**
* A general interface for all integrators.
*/
public interface Integrator<I : Integrand> {
public interface Integrator<T, I : Integrand<T>> {
/**
* Runs one integration pass and return a new [Integrand] with a new set of features.
*/
public fun process(integrand: I): I
public fun integrate(integrand: I): I
}

12
kmath-functions/src/commonMain/kotlin/space/kscience/kmath/integration/SimpsonIntegrator.kt
View File

@ -44,12 +44,12 @@ public class SimpsonIntegrator<T : Any>(
return res
}
override fun process(integrand: UnivariateIntegrand<T>): UnivariateIntegrand<T> {
override fun integrate(integrand: UnivariateIntegrand<T>): UnivariateIntegrand<T> {
val ranges = integrand[UnivariateIntegrandRanges]
return if (ranges != null) {
val res = algebra.sum(ranges.ranges.map { integrateRange(integrand, it.first, it.second) })
integrand.withAttributes {
value(res)
IntegrandValue(res)
IntegrandCallsPerformed(integrand.calls + ranges.ranges.sumOf { it.second })
}
} else {
@ -58,7 +58,7 @@ public class SimpsonIntegrator<T : Any>(
val range = integrand[IntegrationRange] ?: 0.0..1.0
val res = integrateRange(integrand, range, numPoints)
integrand.withAttributes {
value(res)
IntegrandValue(res)
IntegrandCallsPerformed(integrand.calls + numPoints)
}
}
@ -96,12 +96,12 @@ public object DoubleSimpsonIntegrator : UnivariateIntegrator<Double> {
return res
}
override fun process(integrand: UnivariateIntegrand<Double>): UnivariateIntegrand<Double> {
override fun integrate(integrand: UnivariateIntegrand<Double>): UnivariateIntegrand<Double> {
val ranges = integrand[UnivariateIntegrandRanges]
return if (ranges != null) {
val res = ranges.ranges.sumOf { integrateRange(integrand, it.first, it.second) }
integrand.withAttributes {
value(res)
IntegrandValue(res)
IntegrandCallsPerformed(integrand.calls + ranges.ranges.sumOf { it.second })
}
} else {
@ -110,7 +110,7 @@ public object DoubleSimpsonIntegrator : UnivariateIntegrator<Double> {
val range = integrand[IntegrationRange] ?: 0.0..1.0
val res = integrateRange(integrand, range, numPoints)
integrand.withAttributes {
value(res)
IntegrandValue(res)
IntegrandCallsPerformed(integrand.calls + numPoints)
}
}

8
kmath-functions/src/commonMain/kotlin/space/kscience/kmath/integration/SplineIntegrator.kt
View File

@ -54,7 +54,7 @@ public class SplineIntegrator<T : Comparable<T>>(
public val algebra: Field<T>,
public val bufferFactory: MutableBufferFactory<T>,
) : UnivariateIntegrator<T> {
override fun process(integrand: UnivariateIntegrand<T>): UnivariateIntegrand<T> = algebra {
override fun integrate(integrand: UnivariateIntegrand<T>): UnivariateIntegrand<T> = algebra {
val range = integrand[IntegrationRange] ?: 0.0..1.0
val interpolator: PolynomialInterpolator<T> = SplineInterpolator(algebra, bufferFactory)
@ -72,7 +72,7 @@ public class SplineIntegrator<T : Comparable<T>>(
)
val res = polynomials.integrate(algebra, number(range.start)..number(range.endInclusive))
integrand.withAttributes {
value(res)
IntegrandValue(res)
IntegrandCallsPerformed(integrand.calls + nodes.size)
}
}
@ -86,7 +86,7 @@ public class SplineIntegrator<T : Comparable<T>>(
*/
@UnstableKMathAPI
public object DoubleSplineIntegrator : UnivariateIntegrator<Double> {
override fun process(integrand: UnivariateIntegrand<Double>): UnivariateIntegrand<Double> {
override fun integrate(integrand: UnivariateIntegrand<Double>): UnivariateIntegrand<Double> {
val range = integrand[IntegrationRange] ?: 0.0..1.0
val interpolator: PolynomialInterpolator<Double> = SplineInterpolator(Float64Field, ::Float64Buffer)
@ -100,7 +100,7 @@ public object DoubleSplineIntegrator : UnivariateIntegrator<Double> {
val polynomials = interpolator.interpolatePolynomials(nodes, values)
val res = polynomials.integrate(Float64Field, range)
return integrand.withAttributes {
value(res)
IntegrandValue(res)
IntegrandCallsPerformed(integrand.calls + nodes.size)
}
}

6
kmath-functions/src/commonMain/kotlin/space/kscience/kmath/integration/UnivariateIntegrand.kt
View File

@ -34,7 +34,7 @@ public inline fun <reified T : Any> UnivariateIntegrand(
noinline function: (Double) -> T,
): UnivariateIntegrand<T> = UnivariateIntegrand(safeTypeOf(), Attributes(attributeBuilder), function)
public typealias UnivariateIntegrator<T> = Integrator<UnivariateIntegrand<T>>
public typealias UnivariateIntegrator<T> = Integrator<T, UnivariateIntegrand<T>>
public object IntegrationRange : IntegrandAttribute<ClosedRange<Double>>
@ -70,7 +70,7 @@ public fun TypedAttributesBuilder<UnivariateIntegrand<*>>.integrationNodes(varar
public inline fun <reified T : Any> UnivariateIntegrator<T>.integrate(
attributesBuilder: TypedAttributesBuilder<UnivariateIntegrand<T>>.() -> Unit,
noinline function: (Double) -> T,
): UnivariateIntegrand<T> = process(UnivariateIntegrand(attributesBuilder, function))
): UnivariateIntegrand<T> = integrate(UnivariateIntegrand(attributesBuilder, function))
/**
* A shortcut method to integrate a [function] in [range] with additional features.
@ -83,7 +83,7 @@ public inline fun <reified T : Any> UnivariateIntegrator<T>.integrate(
noinline function: (Double) -> T,
): UnivariateIntegrand<T> {
return process(
return integrate(
UnivariateIntegrand(
attributeBuilder = {
IntegrationRange(range)

23
kmath-geometry/src/commonMain/kotlin/space/kscience/kmath/geometry/quaternionOperations.kt
View File

@ -30,25 +30,4 @@ public fun QuaternionAlgebra.angleBetween(q1: Quaternion, q2: Quaternion): Angle
/**
* Euclidean product of two quaternions
*/
public infix fun Quaternion.dot(other: Quaternion): Double = w * other.w + x * other.x + y * other.y + z * other.z
//
///**
// * Convert a quaternion to XYZ Cardan angles assuming it is normalized.
// */
//private fun Quaternion.normalizedToEuler(): Float32Vector3D {
// val roll = atan2(2 * y * w + 2 * x * z, 1 - 2 * y * y - 2 * z * z)
// val pitch = atan2(2 * x * w - 2 * y * z, 1 - 2 * x * x - 2 * z * z)
// val yaw = asin(2 * x * y + 2 * z * w)
//
// return Float32Vector3D(roll, pitch, yaw)
//}
///**
// * Quaternion to XYZ Cardan angles
// */
//public fun Quaternion.toEuler(): Float32Vector3D = if (QuaternionAlgebra.norm(this) == 0.0) {
// Float32Space3D.zero
//} else {
// normalized().normalizedToEuler()
//}
public infix fun Quaternion.dot(other: Quaternion): Double = w * other.w + x * other.x + y * other.y + z * other.z

42
kmath-tensors/src/commonMain/kotlin/space/kscience/kmath/tensors/core/internal/linUtils.kt
View File

@ -310,32 +310,26 @@ internal fun DoubleTensorAlgebra.svdHelper(
}
}
private fun pythag(a: Double, b: Double): Double {
val at: Double = abs(a)
val bt: Double = abs(b)
val ct: Double
val result: Double
if (at > bt) {
ct = bt / at
result = at * sqrt(1.0 + ct * ct)
} else if (bt > 0.0) {
ct = at / bt
result = bt * sqrt(1.0 + ct * ct)
} else result = 0.0
return result
}
private fun SIGN(a: Double, b: Double): Double {
if (b >= 0.0)
return abs(a)
else
return -abs(a)
}
internal fun MutableStructure2D<Double>.svdGolubKahanHelper(
u: MutableStructure2D<Double>, w: BufferedTensor<Double>,
v: MutableStructure2D<Double>, iterations: Int, epsilon: Double,
) {
fun pythag(a: Double, b: Double): Double {
val at: Double = abs(a)
val bt: Double = abs(b)
val ct: Double
val result: Double
if (at > bt) {
ct = bt / at
result = at * sqrt(1.0 + ct * ct)
} else if (bt > 0.0) {
ct = at / bt
result = bt * sqrt(1.0 + ct * ct)
} else result = 0.0
return result
}
val shape = this.shape
val m = shape.component1()
val n = shape.component2()
@ -553,7 +547,7 @@ internal fun MutableStructure2D<Double>.svdGolubKahanHelper(
h = rv1[k]
f = ((y - z) * (y + z) + (g - h) * (g + h)) / (2.0 * h * y)
g = pythag(f, 1.0)
f = ((x - z) * (x + z) + h * ((y / (f + SIGN(g, f))) - h)) / x
f = ((x - z) * (x + z) + h * ((y / (f + if (f >= 0.0) abs(g) else -abs(g) )) - h)) / x
c = 1.0
s = 1.0
@ -563,7 +557,7 @@ internal fun MutableStructure2D<Double>.svdGolubKahanHelper(
g = rv1[i]
y = wBuffer[wStart + i]
h = s * g
g = c * g
g *= c
z = pythag(f, h)
rv1[j] = z
c = f / z