Data Update

This commit is contained in:
Ingy döt Net 2023-07-09 17:42:30 -04:00
parent 015c2add84
commit e50b5c3114
206 changed files with 6337 additions and 523 deletions

View file

@ -20,29 +20,30 @@ public final class BabylonianSpiral {
"(" + points.get(i).x + ", " + points.get(i).y + ")", ( ++column % 10 == 0 ) ? "\n" : " "));
}
System.out.println();
String text = svgText(points, 800);
Files.write(Paths.get("BabylonianSpiralJava.svg"), text.getBytes());
Files.write(Paths.get("C:/Users/psnow/Desktop/BabylonianSpiralJava.svg"), text.getBytes());
}
private static List<Point> babylonianSpiral(int aStepCount) {
final double tau = 2 * Math.PI;
List<Integer> squares = IntStream.rangeClosed(0, aStepCount).map( i -> i * i ).boxed().toList();
List<Point> deltas = Stream.of( new Point(0, 0), new Point(0, 1) ).collect(Collectors.toList());
long norm = 1;
List<Point> points = Stream.of( new Point(0, 0), new Point(0, 1) ).collect(Collectors.toList());
int norm = 1;
for ( int step = 0; step < aStepCount - 2; step++ ) {
Point previousPoint = deltas.get(deltas.size() - 1);
Point previousPoint = points.get(points.size() - 1);
final double theta = Math.atan2(previousPoint.y, previousPoint.x);
Set<Point> candidates = new HashSet<Point>();
while ( candidates.isEmpty() ) {
norm += 1;
for ( int i = 0; i < aStepCount; i++ ) {
long a = squares.get(i);
int a = squares.get(i);
if ( a > norm / 2 ) {
break;
}
for ( int j = (int) Math.sqrt(norm) + 1; j >= 0; j-- ) {
long b = squares.get(j);
int b = squares.get(j);
if ( a + b < norm ) {
break;
}
@ -56,16 +57,16 @@ public final class BabylonianSpiral {
}
Comparator<Point> comparatorPoint = (one, two) -> Double.compare(
( theta - Math.atan2(one.y, one.x) + TAU ) % TAU, ( theta - Math.atan2(two.y, two.x) + TAU ) % TAU);
( theta - Math.atan2(one.y, one.x) + tau ) % tau, ( theta - Math.atan2(two.y, two.x) + tau ) % tau);
Point minimum = candidates.stream().min(comparatorPoint).get();
deltas.add(minimum);
points.add(minimum);
}
for ( int i = 0; i < deltas.size() - 1; i++ ) {
deltas.set(i + 1, new Point(deltas.get(i).x + deltas.get(i + 1).x, deltas.get(i).y + deltas.get(i + 1).y));
}
return deltas;
for ( int i = 0; i < points.size() - 1; i++ ) {
points.set(i + 1, new Point(points.get(i).x + points.get(i + 1).x, points.get(i).y + points.get(i + 1).y));
}
return points;
}
private static String svgText(List<Point> aPoints, int aSize) {
@ -83,6 +84,4 @@ public final class BabylonianSpiral {
return text.toString();
}
private static final double TAU = 2 * Math.PI;
}