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base: glen:144bfb8faf69fc3ebeb5051c4053e25f8726103b
Branches Tags
glen:main
glen:tangent-space
glen:select-in-display
glen:cargo-examples_on_main
glen:element-serial
glen:outline-update-fix
glen:outline-cleanup_on_main
glen:engine-integration
glen:cargo-examples
glen:outline-cleanup
glen:app-proto
glen:engine-proto
glen:lang-trials
glen:gram
glen:macaulay2
glen:seed-problem
glen:v0.1.1
glen:v0.1.0
..
compare: glen:3665351e1222a9e53ccf43da5acefc99ace0f164
Branches Tags
glen:tangent-space
glen:main
glen:select-in-display
glen:cargo-examples_on_main
glen:element-serial
glen:outline-update-fix
glen:outline-cleanup_on_main
glen:engine-integration
glen:cargo-examples
glen:outline-cleanup
glen:app-proto
glen:engine-proto
glen:lang-trials
glen:gram
glen:macaulay2
glen:seed-problem
glen:v0.1.1
glen:v0.1.0

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144bfb8faf ... 3665351e12

2 changed files with 22 additions and 32 deletions
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2
lang-trials/scala-benchmark/index.html
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@ -3,7 +3,7 @@
<head> <head>
<meta charset="UTF-8"> <meta charset="UTF-8">
<title>The circular law</title> <title>The circular law</title>
<script type="text/javascript" src="./target/scala-3.4.2/circular-law-opt/main.js"></script> <script type="text/javascript" src="./target/scala-3.4.2/circular-law-fastopt/main.js"></script>
<link rel="stylesheet" href="main.css"/> <link rel="stylesheet" href="main.css"/>
</head> </head>
<body></body> <body></body>

52
lang-trials/scala-benchmark/src/main/scala/CircularLawApp.scala
View File

@ -2,7 +2,6 @@ import com.raquo.laminar.api.L.{*, given}
import narr.* import narr.*
import org.scalajs.dom import org.scalajs.dom
import org.scalajs.dom.document import org.scalajs.dom.document
import scala.collection.mutable.ArrayBuffer
import scala.math.{cos, sin} import scala.math.{cos, sin}
import slash.matrix.Matrix import slash.matrix.Matrix
import slash.matrix.decomposition.Eigen import slash.matrix.decomposition.Eigen
@ -39,45 +38,36 @@ object CircularLawApp:
) )
ctx.fill() ctx.fill()
def complexEigenvalues[N <: Int](mat: Matrix[N, N])(using ValueOf[N]): (NArray[Double], NArray[Double]) = def eigvalsRotated[N <: Int](A: Matrix[N, N], time: Double)(using ValueOf[N]): (NArray[Double], NArray[Double]) =
val eigen = Eigen(mat) // create transformation
val maxFreq = 4
val T = Matrix.identity[N, N]
val dim: Int = valueOf[N]
for n <- 0 to dim by 2 do
val a = cos(math.Pi * time * (n % maxFreq))
val b = sin(math.Pi * time * (n % maxFreq))
T(n, n) = a
T(n+1, n) = b
T(n, n+1) = -b
T(n+1, n+1) = a
// find eigenvalues
val eigen = Eigen(T*A)
( (
eigen.realEigenvalues.asInstanceOf[NArray[Double]], eigen.realEigenvalues.asInstanceOf[NArray[Double]],
eigen.imaginaryEigenvalues.asInstanceOf[NArray[Double]] eigen.imaginaryEigenvalues.asInstanceOf[NArray[Double]]
) )
def randEigvalSeries[N <: Int]()(using ValueOf[N]): (ArrayBuffer[(NArray[Double], NArray[Double])], String) = def randEigvalSeries[N <: Int]()(using ValueOf[N]): (List[(NArray[Double], NArray[Double])], String) =
// start timing val timeRes = 100
val startTime = System.currentTimeMillis()
// initialize the random matrix step
val dim: Int = valueOf[N] val dim: Int = valueOf[N]
var randMat = new Matrix[N, N]( val startTime = System.currentTimeMillis()
val A = new Matrix[N, N](
NArray.tabulate(dim*dim)(k => (math.E*k*k) % 2 - 1) NArray.tabulate(dim*dim)(k => (math.E*k*k) % 2 - 1)
).times(math.sqrt(3d / dim)) ).times(math.sqrt(3d / dim))
val series = List.tabulate(timeRes)(t => eigvalsRotated(A, t.toDouble / timeRes))
// initialize the rotation step
val timeRes = 100
val maxFreq = 4
val rotStep = Matrix.identity[N, N]
for n <- 0 to dim by 2 do
val ang = math.Pi * (n % maxFreq) / timeRes
val cos_ang = cos(ang)
val sin_ang = sin(ang)
rotStep(n, n) = cos_ang
rotStep(n+1, n) = sin_ang
rotStep(n, n+1) = -sin_ang
rotStep(n+1, n+1) = cos_ang
// find the eigenvalues
val eigvalSeries = ArrayBuffer(complexEigenvalues(randMat))
for _ <- 1 to timeRes-1 do
randMat = rotStep * randMat
eigvalSeries += complexEigenvalues(randMat)
// finish timing
val runTime = System.currentTimeMillis() - startTime val runTime = System.currentTimeMillis() - startTime
(eigvalSeries, runTime.toString() + " ms") (series, runTime.toString() + " ms")
def main(args: Array[String]): Unit = def main(args: Array[String]): Unit =
ctx.fillStyle = "white" ctx.fillStyle = "white"