public class Sphere1D extends Object implements Serializable, Space
We use here the topologists definition of the 1-sphere (see Sphere on MathWorld), i.e. the 1-sphere is the one-dimensional closed curve defined in 2D as x2+y2=1.
Modifier and Type | Class and Description |
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static class |
Sphere1D.NoSubSpaceException
Specialized exception for inexistent sub-space.
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Modifier and Type | Field and Description |
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static double |
SMALLEST_TOLERANCE
Smallest tolerance that can be managed.
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Modifier and Type | Method and Description |
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static void |
checkTolerance(double tolerance)
Check tolerance against
SMALLEST_TOLERANCE . |
int |
getDimension()
Get the dimension of the space.
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static Sphere1D |
getInstance()
Get the unique instance.
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Space |
getSubSpace()
Get the n-1 dimension subspace of this space.
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public static final double SMALLEST_TOLERANCE
Tolerances smaller than this value will generate exceptions.
public static Sphere1D getInstance()
public static void checkTolerance(double tolerance) throws MathIllegalArgumentException
SMALLEST_TOLERANCE
.tolerance
- tolerance to checkMathIllegalArgumentException
- if tolerance is smaller
than SMALLEST_TOLERANCE
public int getDimension()
getDimension
in interface Space
public Space getSubSpace() throws Sphere1D.NoSubSpaceException
As the 1-dimension sphere does not have proper sub-spaces,
this method always throws a Sphere1D.NoSubSpaceException
getSubSpace
in interface Space
Sphere1D.NoSubSpaceException
- in all casesSpace.getDimension()
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